Table of contents 目次

16×10156-79

c151

name 名前Robert Backstrom
date 日付April 8, 2007 17:52:36 UTC 2007 年 4 月 9 日 (月) 2 時 52 分 36 秒 (日本時間)
composite number 合成数
1162921441821983910545756852169353632999291417428979842428505588528012560714493119248217804719760281188590025346599650411278070288861691063668277240181<151>
prime factors 素因数
692135084257927329335410999683545165787859841786762908730251918987703<69>
1680194326615894932898979882414438056196314851519751157531292592032120525164197427<82>
factorization results 素因数分解の結果
Number: n
N=1162921441821983910545756852169353632999291417428979842428505588528012560714493119248217804719760281188590025346599650411278070288861691063668277240181
  ( 151 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=692135084257927329335410999683545165787859841786762908730251918987703 (pp69)
 r2=1680194326615894932898979882414438056196314851519751157531292592032120525164197427 (pp82)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 32.60 hours.
Scaled time: 38.99 units (timescale=1.196).
Factorization parameters were as follows:
name: KA_1_7_156
n: 1162921441821983910545756852169353632999291417428979842428505588528012560714493119248217804719760281188590025346599650411278070288861691063668277240181
type: snfs
skew: 1.07
deg: 5
c5: 5
c0: -7
m: 20000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1300001)
Primes: RFBsize:216816, AFBsize:216351, largePrimes:6344958 encountered
Relations: rels:5824312, finalFF:504391
Max relations in full relation-set: 28
Initial matrix: 433232 x 504391 with sparse part having weight 26881004.
Pruned matrix : 366674 x 368904 with weight 15845665.
Total sieving time: 29.40 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.84 hours.
Total square root time: 0.16 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 32.60 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

16×10160-79

c155

name 名前Robert Backstrom
date 日付June 6, 2007 09:48:16 UTC 2007 年 6 月 6 日 (水) 18 時 48 分 16 秒 (日本時間)
composite number 合成数
39642101199842521752983625582336272547374169157305556113022603678341017706887790307159388253004809330164938394935919782226117058665106749984452863435686761<155>
prime factors 素因数
16770759996905604146905291574126233673996019246169099349<56>
2363762954520662154675832128367503145931432005400900847902652199986102917164639275903970666869960389<100>
factorization results 素因数分解の結果
Number: n
N=39642101199842521752983625582336272547374169157305556113022603678341017706887790307159388253004809330164938394935919782226117058665106749984452863435686761
  ( 155 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=16770759996905604146905291574126233673996019246169099349 (pp56)
 r2=2363762954520662154675832128367503145931432005400900847902652199986102917164639275903970666869960389 (pp100)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 31.87 hours.
Scaled time: 43.51 units (timescale=1.365).
Factorization parameters were as follows:
name: KA_1_7_160
n: 39642101199842521752983625582336272547374169157305556113022603678341017706887790307159388253004809330164938394935919782226117058665106749984452863435686761
skew: 1.70
deg: 5
c5: 1
c0: -14
m: 200000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1400001)
Primes: RFBsize:250150, AFBsize:250091, largePrimes:7003207 encountered
Relations: rels:6534990, finalFF:569860
Max relations in full relation-set: 28
Initial matrix: 500305 x 569860 with sparse part having weight 31858690.
Pruned matrix : 436112 x 438677 with weight 19800703.
Total sieving time: 28.59 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.98 hours.
Total square root time: 0.10 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 31.87 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

16×10162-79

c141

name 名前Robert Backstrom
date 日付December 5, 2007 21:36:17 UTC 2007 年 12 月 6 日 (木) 6 時 36 分 17 秒 (日本時間)
composite number 合成数
923554050953145651757115932207095054219542878393925009149107585156454700784480736260600830105563687523730018039673296026246046433409929419559<141>
prime factors 素因数
42410911175907381021122531054551380413053150932223867<53>
21776331263493214068135261250146977053996751440377507135716102961789622007528024777905477<89>
factorization results 素因数分解の結果
Number: n
N=923554050953145651757115932207095054219542878393925009149107585156454700784480736260600830105563687523730018039673296026246046433409929419559
  ( 141 digits)
SNFS difficulty: 163 digits.
Divisors found:

Thu Dec 06 08:21:53 2007  prp53 factor: 42410911175907381021122531054551380413053150932223867
Thu Dec 06 08:21:53 2007  prp89 factor: 21776331263493214068135261250146977053996751440377507135716102961789622007528024777905477
Thu Dec 06 08:21:53 2007  elapsed time 02:06:15 (Msieve 1.30)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 67.27 hours.
Scaled time: 88.59 units (timescale=1.317).
Factorization parameters were as follows:
name: KA_1_7_162
n: 923554050953145651757115932207095054219542878393925009149107585156454700784480736260600830105563687523730018039673296026246046433409929419559
skew: 0.67
deg: 5
c5: 50
c0: -7
m: 200000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2600000)
Primes: RFBsize:216816, AFBsize:217591, largePrimes:7393862 encountered
Relations: rels:6850636, finalFF:494540
Max relations in full relation-set: 28
Initial matrix: 434472 x 494540 with sparse part having weight 50632783.
Pruned matrix : 
Total sieving time: 67.01 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 67.27 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

16×10163-79

c156

name 名前Robert Backstrom
date 日付July 29, 2007 01:34:48 UTC 2007 年 7 月 29 日 (日) 10 時 34 分 48 秒 (日本時間)
composite number 合成数
163425446216914956342510976477755726884460633328290330485790994496146586807310687393666786552509784278911484101296929939309989227903639425547667346331647893<156>
prime factors 素因数
73711078007185859471835668366940479393171<41>
821912260604473840932297229077014953449618054109223<51>
2697500027586692927181515435498036599615808525035592363867652721<64>
factorization results 素因数分解の結果
Number: n
N=163425446216914956342510976477755726884460633328290330485790994496146586807310687393666786552509784278911484101296929939309989227903639425547667346331647893
  ( 156 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=73711078007185859471835668366940479393171 (pp41)
 r2=821912260604473840932297229077014953449618054109223 (pp51)
 r3=2697500027586692927181515435498036599615808525035592363867652721 (pp64)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 61.71 hours.
Scaled time: 73.69 units (timescale=1.194).
Factorization parameters were as follows:
name: KA_1_7_163
n: 163425446216914956342510976477755726884460633328290330485790994496146586807310687393666786552509784278911484101296929939309989227903639425547667346331647893
type: snfs
skew: 0.43
deg: 5
c5: 500
c0: -7
m: 200000000000000000000000000000000
rlim: 3600000
alim: 3600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2600001)
Primes: RFBsize:256726, AFBsize:256456, largePrimes:7276877 encountered
Relations: rels:6788820, finalFF:601944
Max relations in full relation-set: 28
Initial matrix: 513248 x 601944 with sparse part having weight 36488675.
Pruned matrix : 437144 x 439774 with weight 22807094.
Total sieving time: 56.01 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.06 hours.
Total square root time: 0.35 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3600000,3600000,28,28,48,48,2.3,2.3,100000
total time: 61.71 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

16×10164-79

c131

name 名前Sinkiti Sibata
date 日付June 1, 2008 14:05:23 UTC 2008 年 6 月 1 日 (日) 23 時 5 分 23 秒 (日本時間)
composite number 合成数
90003841585059920924224866844440249713658946274123664702277080206963969563210631887340234268972054822694480502697694149336669063527<131>
prime factors 素因数
27077574071931379632102132928358669855145747323367902682258041<62>
3323925597838468353082294553807010837436662578376074591306828959271647<70>
factorization results 素因数分解の結果
Number: 17777_164
N=90003841585059920924224866844440249713658946274123664702277080206963969563210631887340234268972054822694480502697694149336669063527
  ( 131 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=27077574071931379632102132928358669855145747323367902682258041 (pp62)
 r2=3323925597838468353082294553807010837436662578376074591306828959271647 (pp70)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 131.28 hours.
Scaled time: 88.88 units (timescale=0.677).
Factorization parameters were as follows:
name: 17777_164
n: 90003841585059920924224866844440249713658946274123664702277080206963969563210631887340234268972054822694480502697694149336669063527
m: 1000000000000000000000000000000000
c5: 8
c0: -35
skew: 1.34
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2500000, 5500001)
Primes: RFBsize:348513, AFBsize:349436, largePrimes:5872683 encountered
Relations: rels:6032223, finalFF:800929
Max relations in full relation-set: 28
Initial matrix: 698014 x 800929 with sparse part having weight 49993017.
Pruned matrix : 618137 x 621691 with weight 36216756.
Total sieving time: 112.92 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 17.71 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 131.28 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

16×10166-79

c136

name 名前Robert Backstrom
date 日付September 14, 2008 23:20:12 UTC 2008 年 9 月 15 日 (月) 8 時 20 分 12 秒 (日本時間)
composite number 合成数
9467843262314075088114456690203792146385655753244537824265820827096598765879588060136679376473184972544225902520642437741750597973194023<136>
prime factors 素因数
11534998653303754286376078599436060408108912634496357909792199251<65>
820792749689864725133726681975155104671578537741228360509241468320423773<72>
factorization results 素因数分解の結果
Number: n
N=9467843262314075088114456690203792146385655753244537824265820827096598765879588060136679376473184972544225902520642437741750597973194023
  ( 136 digits)
SNFS difficulty: 167 digits.
Divisors found:

Mon Sep 15 00:12:37 2008  prp65 factor: 11534998653303754286376078599436060408108912634496357909792199251
Mon Sep 15 00:12:37 2008  prp72 factor: 820792749689864725133726681975155104671578537741228360509241468320423773
Mon Sep 15 00:12:37 2008  elapsed time 03:35:17 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 40.54 hours.
Scaled time: 34.09 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_1_7_166
n: 9467843262314075088114456690203792146385655753244537824265820827096598765879588060136679376473184972544225902520642437741750597973194023
type: snfs
skew: 1.07
deg: 5
c5: 5
c0: -7
m: 2000000000000000000000000000000000
rlim: 5400000
alim: 5400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 4700001)
Primes: RFBsize:374362, AFBsize:373867, largePrimes:14071031 encountered
Relations: rels:13318773, finalFF:814933
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 40.16 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5400000,5400000,28,28,52,52,2.5,2.5,100000
total time: 40.54 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkAugust 5, 2008 11:44:13 UTC 2008 年 8 月 5 日 (火) 20 時 44 分 13 秒 (日本時間)
255e4214Jo Yeong UkAugust 5, 2008 11:44:18 UTC 2008 年 8 月 5 日 (火) 20 時 44 分 18 秒 (日本時間)
3025e4430Jo Yeong UkAugust 5, 2008 11:44:23 UTC 2008 年 8 月 5 日 (火) 20 時 44 分 23 秒 (日本時間)
351e6904Jo Yeong UkAugust 5, 2008 11:44:29 UTC 2008 年 8 月 5 日 (火) 20 時 44 分 29 秒 (日本時間)
403e662 / 2089Jo Yeong UkAugust 5, 2008 11:51:14 UTC 2008 年 8 月 5 日 (火) 20 時 51 分 14 秒 (日本時間)

16×10169-79

c147

name 名前Robert Backstrom
date 日付May 15, 2009 08:19:44 UTC 2009 年 5 月 15 日 (金) 17 時 19 分 44 秒 (日本時間)
composite number 合成数
100695362268136064504090189001146777329779870588394993991707548409930165374487468529253744023227795557950486006149084859840889633580942941548214697<147>
prime factors 素因数
3487303178927087329591975815409665587670114255927538052409984233861<67>
28874851741200275794024069838665289918909310930811410451426125078495030526283477<80>
factorization results 素因数分解の結果
Number: n
N=100695362268136064504090189001146777329779870588394993991707548409930165374487468529253744023227795557950486006149084859840889633580942941548214697
  ( 147 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri May 15 18:14:48 2009  prp67 factor: 3487303178927087329591975815409665587670114255927538052409984233861
Fri May 15 18:14:48 2009  prp80 factor: 28874851741200275794024069838665289918909310930811410451426125078495030526283477
Fri May 15 18:14:48 2009  elapsed time 01:16:27 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 44.07 hours.
Scaled time: 115.29 units (timescale=2.616).
Factorization parameters were as follows:
name: KA_1_7_169
n: 100695362268136064504090189001146777329779870588394993991707548409930165374487468529253744023227795557950486006149084859840889633580942941548214697
m: 10000000000000000000000000000000000
deg: 5
c5: 8
c0: -35
skew: 1.34
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2450000, 4945807)
Primes: RFBsize:341992, AFBsize:342818, largePrimes:16487133 encountered
Relations: rels:15756849, finalFF:691854
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1756427 hash collisions in 17765435 relations
Msieve: matrix is 838205 x 838453 (222.9 MB)

Total sieving time: 43.41 hours.
Total relation processing time: 0.67 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,28,28,56,56,2.4,2.4,100000
total time: 44.07 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Serge BatalovJanuary 17, 2009 10:11:50 UTC 2009 年 1 月 17 日 (土) 19 時 11 分 50 秒 (日本時間)

16×10171-79

c129

name 名前Dmitry Domanov
date 日付May 19, 2009 21:38:06 UTC 2009 年 5 月 20 日 (水) 6 時 38 分 6 秒 (日本時間)
composite number 合成数
111866757844679185887968729281774448067931340871359537390276493296195096332957079943344641551979112580133063024428735821115123649<129>
prime factors 素因数
28439831557188093353879668494862682918380292611871233807<56>
3933453600796913095720722985325855260149941585902703532789048980867241007<73>
factorization results 素因数分解の結果
N=111866757844679185887968729281774448067931340871359537390276493296195096332957079943344641551979112580133063024428735821115123649
  ( 129 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=28439831557188093353879668494862682918380292611871233807 (pp56)
r2=3933453600796913095720722985325855260149941585902703532789048980867241007 (pp73)
Version: Msieve v. 1.41
Total time: 55.00 hours.
Scaled time: 109.34 units (timescale=1.988).
Factorization parameters were as follows:
n: 111866757844679185887968729281774448067931340871359537390276493296195096332957079943344641551979112580133063024428735821115123649
m: 20000000000000000000000000000000000
deg: 5
c5: 5
c0: -7
skew: 1.07
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 5000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 961428 x 961676
Total sieving time: 53.49 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 55.00 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/Msieve

16×10172-79

c148

name 名前Serge Batalov
date 日付December 7, 2008 06:38:13 UTC 2008 年 12 月 7 日 (日) 15 時 38 分 13 秒 (日本時間)
composite number 合成数
1170915451890634250878062812897650274435783395035731292758702557401427814481884711786286345110790218975486899180727931490597815191244770920051916489<148>
prime factors 素因数
11028341891571566346970754072658129784323506979873488661401005556161967581<74>
106173299975901986267593348697479150345163312613129043156754080131224341469<75>
factorization results 素因数分解の結果
# a quasi-nice split (when factors r2/10<r1<r2)      :-)
#                              i.e. within 1 order of magnitude, BUT not the same length
#
SNFS difficulty: 173 digits.
Divisors found:
 r1=11028341891571566346970754072658129784323506979873488661401005556161967581 (pp74)
 r2=106173299975901986267593348697479150345163312613129043156754080131224341469 (pp75)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.699).
Factorization parameters were as follows:
n: 1170915451890634250878062812897650274435783395035731292758702557401427814481884711786286345110790218975486899180727931490597815191244770920051916489
m: 20000000000000000000000000000000000
deg: 5
c5: 50
c0: -7
skew: 0.67
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 6100001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1012460 x 1012702
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

16×10174-79

c137

name 名前Dmitry Domanov
date 日付May 20, 2009 19:28:18 UTC 2009 年 5 月 21 日 (木) 4 時 28 分 18 秒 (日本時間)
composite number 合成数
10291989484429551876179833835177150162938324601375571356928446368849810743540128602817703724734336895923865775996568943437420300203424499<137>
prime factors 素因数
478201468652324457339234840573843334174654778416210183<54>
21522287485721472882131698140452420826474012890115270934342109978718916791569225653<83>
factorization results 素因数分解の結果
N=10291989484429551876179833835177150162938324601375571356928446368849810743540128602817703724734336895923865775996568943437420300203424499
  ( 137 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=478201468652324457339234840573843334174654778416210183 (pp54)
r2=21522287485721472882131698140452420826474012890115270934342109978718916791569225653 (pp83)
Version: Msieve v. 1.41
Total time: 84.67 hours.
Scaled time: 168.32 units (timescale=1.988).
Factorization parameters were as follows:
n: 10291989484429551876179833835177150162938324601375571356928446368849810743540128602817703724734336895923865775996568943437420300203424499
m: 100000000000000000000000000000000000
deg: 5
c5: 8
c0: -35
skew: 1.34
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1127939 x 1128187
Total sieving time: 82.45 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.77 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 84.67 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/Msieve 1.41

16×10176-79

c135

name 名前Dmitry Domanov
date 日付May 21, 2009 17:21:19 UTC 2009 年 5 月 22 日 (金) 2 時 21 分 19 秒 (日本時間)
composite number 合成数
543758404231006280078915314898360251643955593507494702574785941537600961230214196342616452411330988575208199411251642709824917020572311<135>
prime factors 素因数
1772012938854214576783047007942566638416973<43>
306859161300820429718744093592872285344754892092073690101163543698285825481837814744085179507<93>
factorization results 素因数分解の結果
N=543758404231006280078915314898360251643955593507494702574785941537600961230214196342616452411330988575208199411251642709824917020572311
  ( 135 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=1772012938854214576783047007942566638416973 (pp43)
r2=306859161300820429718744093592872285344754892092073690101163543698285825481837814744085179507 (pp93)
Version: Msieve v. 1.41
Total time: 83.47 hours.
Scaled time: 165.45 units (timescale=1.982).
Factorization parameters were as follows:
n: 543758404231006280078915314898360251643955593507494702574785941537600961230214196342616452411330988575208199411251642709824917020572311
m: 200000000000000000000000000000000000
deg: 5
c5: 5
c0: -7
skew: 1.07
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3150000, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1161103 x 1161351
Total sieving time: 81.17 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 1.94 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
total time: 83.47 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e60--
403e6100 / 280Dmitry DomanovMay 21, 2009 06:34:38 UTC 2009 年 5 月 21 日 (木) 15 時 34 分 38 秒 (日本時間)
4511e6600 / 4458Dmitry DomanovMay 21, 2009 06:34:44 UTC 2009 年 5 月 21 日 (木) 15 時 34 分 44 秒 (日本時間)

16×10178-79

c141

name 名前Dmitry Domanov
date 日付June 1, 2009 14:00:42 UTC 2009 年 6 月 1 日 (月) 23 時 0 分 42 秒 (日本時間)
composite number 合成数
115000633332411167647364546083294741615775101260141430479997902227306590463854471282709871778389721057965754878001756662197647499816642867333<141>
prime factors 素因数
351285801553477998259072973907150185197704089795714956495320427<63>
327370570697273242447130450554318941139597272631318183807575568975566864956879<78>
factorization results 素因数分解の結果
Number: 577
N=115000633332411167647364546083294741615775101260141430479997902227306590463854471282709871778389721057965754878001756662197647499816642867333
  ( 141 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=351285801553477998259072973907150185197704089795714956495320427 (pp63)
r2=327370570697273242447130450554318941139597272631318183807575568975566864956879 (pp78)
Version: Msieve v. 1.41
Total time: 106.90 hours.
Scaled time: 211.87 units (timescale=1.982).
Factorization parameters were as follows:
n: 115000633332411167647364546083294741615775101260141430479997902227306590463854471282709871778389721057965754878001756662197647499816642867333
m: 400000000000000000000000000000000000
deg: 5
c5: 125
c0: -56
skew: 0.85
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1198873 x 1199121
Total sieving time: 104.20 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 1.98 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 106.90 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6100Dmitry DomanovMay 21, 2009 10:55:53 UTC 2009 年 5 月 21 日 (木) 19 時 55 分 53 秒 (日本時間)
4511e61600 / 4458600Dmitry DomanovMay 21, 2009 10:56:09 UTC 2009 年 5 月 21 日 (木) 19 時 56 分 9 秒 (日本時間)
400Dmitry DomanovMay 25, 2009 20:53:00 UTC 2009 年 5 月 26 日 (火) 5 時 53 分 0 秒 (日本時間)
600Dmitry DomanovMay 26, 2009 01:36:15 UTC 2009 年 5 月 26 日 (火) 10 時 36 分 15 秒 (日本時間)

16×10180-79

c166

name 名前Dmitry Domanov
date 日付June 1, 2009 14:08:34 UTC 2009 年 6 月 1 日 (月) 23 時 8 分 34 秒 (日本時間)
composite number 合成数
1711549690157520228330742557808063317961315632644673179819320806670356053994984550359977522136522021367570978466533605186365590753577246918825184595149011146562975581<166>
prime factors 素因数
137718772401945611066139183172563078616174576033116838801957<60>
12427860489216359333700314673797681425104380541244459983868501418546968585363216500853083110304729687523033<107>
factorization results 素因数分解の結果
Number: 677
N=1711549690157520228330742557808063317961315632644673179819320806670356053994984550359977522136522021367570978466533605186365590753577246918825184595149011146562975581
  ( 166 digits)
SNFS difficulty: 181 digits.
Divisors found:
r1=137718772401945611066139183172563078616174576033116838801957 (pp60)
r2=12427860489216359333700314673797681425104380541244459983868501418546968585363216500853083110304729687523033 (pp107)
Version: Msieve v. 1.41
Total time: 101.21 hours.
Scaled time: 201.21 units (timescale=1.988).
Factorization parameters were as follows:
n: 1711549690157520228330742557808063317961315632644673179819320806670356053994984550359977522136522021367570978466533605186365590753577246918825184595149011146562975581
m: 2000000000000000000000000000000000000
deg: 5
c5: 1
c0: -14
skew: 1.70
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1390191 x 1390439
Total sieving time: 98.04 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 2.77 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 101.21 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6100Dmitry DomanovMay 11, 2009 11:52:53 UTC 2009 年 5 月 11 日 (月) 20 時 52 分 53 秒 (日本時間)
4511e62100 / 4458300Dmitry DomanovMay 12, 2009 17:32:42 UTC 2009 年 5 月 13 日 (水) 2 時 32 分 42 秒 (日本時間)
600Dmitry DomanovMay 21, 2009 23:46:02 UTC 2009 年 5 月 22 日 (金) 8 時 46 分 2 秒 (日本時間)
1200Dmitry DomanovMay 24, 2009 05:15:02 UTC 2009 年 5 月 24 日 (日) 14 時 15 分 2 秒 (日本時間)

16×10182-79

c126

name 名前Wataru Sakai
date 日付April 22, 2008 14:10:02 UTC 2008 年 4 月 22 日 (火) 23 時 10 分 2 秒 (日本時間)
composite number 合成数
196493557424740682427240818584015055922748541801083874106162700859906957590919852245108331779080425865538457466900821724236507<126>
prime factors 素因数
77353780133776529862472058000124963556450822141289<50>
2540193343944179996047245110605127443108044311279781450571038782918768697763<76>
factorization results 素因数分解の結果
Number: template
N=196493557424740682427240818584015055922748541801083874106162700859906957590919852245108331779080425865538457466900821724236507
  ( 126 digits)
Divisors found:
 r1=77353780133776529862472058000124963556450822141289 (pp50)
 r2=2540193343944179996047245110605127443108044311279781450571038782918768697763 (pp76)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 175.25 hours.
Scaled time: 353.13 units (timescale=2.015).
Factorization parameters were as follows:
name: template
n: 196493557424740682427240818584015055922748541801083874106162700859906957590919852245108331779080425865538457466900821724236507
skew: 532555.37
# norm 4.26e+17
c5: 360
c4: -1530324443
c3: 3607202194095335
c2: 98272719477410458842
c1: -109507700429145984560920665
c0: 91593504604744425816368538465
# alpha -5.05
Y1: 33768739669423
Y0: -3527058784468384430641268
# Murphy_E 1.08e-10
# M 167783583878167419122603057044635014571958614459810334116778788696171969889816762212443121528709944125342409454564030436877113
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [2700000, 9480001)
Primes: RFBsize:374362, AFBsize:374330, largePrimes:9514076 encountered
Relations: rels:10472238, finalFF:937321
Max relations in full relation-set: 32
Initial matrix: 748767 x 937321 with sparse part having weight 138147417.
Pruned matrix : 617364 x 621171 with weight 115795060.
Total sieving time: 169.06 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 5.52 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 175.25 hours.
 --------- CPU info (if available) ----------

16×10184-79

c142

name 名前Dmitry Domanov
date 日付June 26, 2009 15:53:54 UTC 2009 年 6 月 27 日 (土) 0 時 53 分 54 秒 (日本時間)
composite number 合成数
6908854667415452929349067257832242713851174690747514804546818467887473298594120925395357875176704646282864437854825702195352929879995014626691<142>
prime factors 素因数
3963965902151640309444352830053938422744024270549330775181009<61>
1742914757078340982220330559551431495030549136659252945881611664525081678798945299<82>
factorization results 素因数分解の結果
N=6908854667415452929349067257832242713851174690747514804546818467887473298594120925395357875176704646282864437854825702195352929879995014626691
  ( 142 digits)
SNFS difficulty: 185 digits.
Divisors found:
r1=3963965902151640309444352830053938422744024270549330775181009 (pp61)
r2=1742914757078340982220330559551431495030549136659252945881611664525081678798945299 (pp82)
Version: Msieve v. 1.41
Total time: 203.60 hours.
Scaled time: 404.75 units (timescale=1.988).
Factorization parameters were as follows:
n: 6908854667415452929349067257832242713851174690747514804546818467887473298594120925395357875176704646282864437854825702195352929879995014626691
m: 10000000000000000000000000000000000000
deg: 5
c5: 8
c0: -35
skew: 1.34
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4400000, 7400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1652077 x 1652325
Total sieving time: 198.57 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 4.38 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 203.60 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/Msieve 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6100Dmitry DomanovMay 24, 2009 05:19:45 UTC 2009 年 5 月 24 日 (日) 14 時 19 分 45 秒 (日本時間)
4511e62229 / 4458600Dmitry DomanovMay 26, 2009 01:35:32 UTC 2009 年 5 月 26 日 (火) 10 時 35 分 32 秒 (日本時間)
600Dmitry DomanovMay 28, 2009 11:36:49 UTC 2009 年 5 月 28 日 (木) 20 時 36 分 49 秒 (日本時間)
1029Dmitry DomanovJune 4, 2009 18:53:14 UTC 2009 年 6 月 5 日 (金) 3 時 53 分 14 秒 (日本時間)

16×10187-79

c186

name 名前Robert Backstrom
date 日付August 6, 2008 05:57:43 UTC 2008 年 8 月 6 日 (水) 14 時 57 分 43 秒 (日本時間)
composite number 合成数
772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599<186>
prime factors 素因数
8413570336737408496831483163541109031813882697182810158716967<61>
91869067348061522362678558846592350747618316691107208817401001795528904555531717670493313920079035651924077479602838554208497<125>
factorization results 素因数分解の結果
Number: n
N=772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599
  ( 186 digits)
SNFS difficulty: 188 digits.
Divisors found:

Wed Aug 06 14:01:52 2008  prp61 factor: 8413570336737408496831483163541109031813882697182810158716967
Wed Aug 06 14:01:52 2008  prp125 factor: 91869067348061522362678558846592350747618316691107208817401001795528904555531717670493313920079035651924077479602838554208497
Wed Aug 06 14:01:52 2008  elapsed time 04:55:33 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 104.83 hours.
Scaled time: 215.00 units (timescale=2.051).
Factorization parameters were as follows:
name: KA_1_7_187
n: 772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599
type: snfs
skew: 0.67
deg: 5
c5: 50
c0: -7
m: 20000000000000000000000000000000000000
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7700001)
Primes: RFBsize:602489, AFBsize:603650, largePrimes:10820302 encountered
Relations: rels:10822304, finalFF:1234763
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 104.47 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,50,50,2.5,2.5,100000
total time: 104.83 hours.
 --------- CPU info (if available) ----------

16×10188-79

c150

name 名前Dmitry Domanov
date 日付May 24, 2009 05:17:24 UTC 2009 年 5 月 24 日 (日) 14 時 17 分 24 秒 (日本時間)
composite number 合成数
969774375035532341825150629522206202820989876944097125676138500900515941490128097730360243241279992917714283098460059169988106831301215880158905192169<150>
prime factors 素因数
121896753428115558413310315910630311743<39>
7955703066426815166859690188164155329317259808964297303908057957751323028198357087524600604449363008467485722583<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2616785286
Step 1 took 143375ms
Step 2 took 39250ms
********** Factor found in step 2: 121896753428115558413310315910630311743
Found probable prime factor of 39 digits: 121896753428115558413310315910630311743
Probable prime cofactor 7955703066426815166859690188164155329317259808964297303908057957751323028198357087524600604449363008467485722583 has 112 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e60 / 624--
403e6100 / 2350Dmitry DomanovMay 23, 2009 13:55:49 UTC 2009 年 5 月 23 日 (土) 22 時 55 分 49 秒 (日本時間)

16×10189-79

c158

name 名前Serge Batalov
date 日付October 6, 2008 09:36:49 UTC 2008 年 10 月 6 日 (月) 18 時 36 分 49 秒 (日本時間)
composite number 合成数
11200750165662291673323647359941751473922729833327793610348935323939782250674461419282253311802708661334339655251433398836484238585048663621446673061441921453<158>
prime factors 素因数
313874266742039388275321127723139<33>
composite cofactor 合成数の残り
35685468203316383629285285631630576483658593506329090236596327342634932358233727998968557498199790458256613246731307616845327<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=349201591
Step 1 took 26185ms
Step 2 took 9028ms
********** Factor found in step 2: 313874266742039388275321127723139
Found probable prime factor of 33 digits: 313874266742039388275321127723139
Composite cofactor 35685468203316383629285285631630576483658593506329090236596327342634932358233727998968557498199790458256613246731307616845327 has 125 digits
software ソフトウェア
GMP-ECM 6.2.1

c125

name 名前Dmitry Domanov
date 日付May 26, 2009 13:10:14 UTC 2009 年 5 月 26 日 (火) 22 時 10 分 14 秒 (日本時間)
composite number 合成数
35685468203316383629285285631630576483658593506329090236596327342634932358233727998968557498199790458256613246731307616845327<125>
prime factors 素因数
9641915714367601914559833623585613291763136575081<49>
3701076555786604628832541036576489067616431031951291380827268989656764182967<76>
factorization results 素因数分解の結果
Number: 477
N=35685468203316383629285285631630576483658593506329090236596327342634932358233727998968557498199790458256613246731307616845327
  ( 125 digits)
Divisors found:
r1=9641915714367601914559833623585613291763136575081 (pp49)
r2=3701076555786604628832541036576489067616431031951291380827268989656764182967 (pp76)
Version: Msieve v. 1.41
Total time: 65.61 hours.
Scaled time: 130.43 units (timescale=1.988).
Factorization parameters were as follows:
# Murphy_E = 1.630694e-10, selected by Jeff Gilchrist
n: 35685468203316383629285285631630576483658593506329090236596327342634932358233727998968557498199790458256613246731307616845327
Y0: -1168519198374191872033102
Y1: 20511124710263
c0: -352577385070769488032860696085
c1: 39647842142184592470391721
c2: 173482975072407524037
c3: -2569127795806573
c4: -3778907800
c5: 16380
skew: 207212.3
type: gnfs
# selected mechanically
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3500000, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 915481 x 915729
Total sieving time: 64.15 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.15 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7000000,7000000,27,27,52,52,2.5,2.5,100000
total time: 65.61 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Ignacio SantosJanuary 18, 2009 22:49:07 UTC 2009 年 1 月 19 日 (月) 7 時 49 分 7 秒 (日本時間)
255e4204Ignacio SantosJanuary 18, 2009 22:52:18 UTC 2009 年 1 月 19 日 (月) 7 時 52 分 18 秒 (日本時間)
3025e4403Ignacio SantosJanuary 18, 2009 23:17:09 UTC 2009 年 1 月 19 日 (月) 8 時 17 分 9 秒 (日本時間)
351e60--
403e6500Erik BrangerMarch 4, 2009 16:26:34 UTC 2009 年 3 月 5 日 (木) 1 時 26 分 34 秒 (日本時間)
4511e6600 / 3842Dmitry DomanovMay 21, 2009 01:43:12 UTC 2009 年 5 月 21 日 (木) 10 時 43 分 12 秒 (日本時間)
5043e6150 / 7400Dmitry DomanovMay 25, 2009 03:50:49 UTC 2009 年 5 月 25 日 (月) 12 時 50 分 49 秒 (日本時間)

16×10190-79

c178

name 名前Dmitry Domanov
date 日付June 13, 2009 04:19:51 UTC 2009 年 6 月 13 日 (土) 13 時 19 分 51 秒 (日本時間)
composite number 合成数
7774954774392157161927067104500558023545269774120869069685490738315009061192661033202790969577883277483294279822564047287532151045058863141496220336288440400519147292742336300957<178>
prime factors 素因数
6945950415193564269695115861239077510702586733059382852791<58>
64441391317514719880046737523653294644667708778777048133109<59>
17370058629430105732971321653115633962410075240228083185104703<62>
factorization results 素因数分解の結果
N=7774954774392157161927067104500558023545269774120869069685490738315009061192661033202790969577883277483294279822564047287532151045058863141496220336288440400519147292742336300957
  ( 178 digits)
SNFS difficulty: 191 digits.
Divisors found:
r1=6945950415193564269695115861239077510702586733059382852791 (pp58)
r2=64441391317514719880046737523653294644667708778777048133109 (pp59)
r3=17370058629430105732971321653115633962410075240228083185104703 (pp62)
Version: Msieve v. 1.41
Total time: 237.40 hours.
Scaled time: 467.44 units (timescale=1.969).
Factorization parameters were as follows:
n: 7774954774392157161927067104500558023545269774120869069685490738315009061192661033202790969577883277483294279822564047287532151045058863141496220336288440400519147292742336300957
m: 200000000000000000000000000000000000000
deg: 5
c5: 1
c0: -14
skew: 1.70
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5450000, 9050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1830662 x 1830910
Total sieving time: 230.22 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 6.34 hours.
Time per square root: 0.49 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time: 237.40 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6100Dmitry DomanovMay 26, 2009 14:20:32 UTC 2009 年 5 月 26 日 (火) 23 時 20 分 32 秒 (日本時間)
4511e62478 / 38231000Dmitry DomanovJune 4, 2009 18:55:06 UTC 2009 年 6 月 5 日 (金) 3 時 55 分 6 秒 (日本時間)
1229Dmitry DomanovJune 9, 2009 14:58:43 UTC 2009 年 6 月 9 日 (火) 23 時 58 分 43 秒 (日本時間)
249Dmitry DomanovJune 10, 2009 23:16:00 UTC 2009 年 6 月 11 日 (木) 8 時 16 分 0 秒 (日本時間)
5043e6181 / 6994Dmitry DomanovMay 26, 2009 14:20:47 UTC 2009 年 5 月 26 日 (火) 23 時 20 分 47 秒 (日本時間)

16×10191-79

c119

name 名前JMB
date 日付October 27, 2006 13:36:52 UTC 2006 年 10 月 27 日 (金) 22 時 36 分 52 秒 (日本時間)
composite number 合成数
82905429064960492892446546401102851207709716257923855791406358121027685128379036667899534988442001145414894295493467057<119>
prime factors 素因数
3313559207083922318452043728233410351643032203699722342601<58>
25020053629257740914748280168854757559710770983903542575058857<62>
factorization results 素因数分解の結果
Number: Job
N=82905429064960492892446546401102851207709716257923855791406358121027685128379036667899534988442001145414894295493467057
  ( 119 digits)
Divisors found:
 r1=3313559207083922318452043728233410351643032203699722342601 (pp58)
 r2=25020053629257740914748280168854757559710770983903542575058857 (pp62)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 86.96 hours.
Scaled time: 159.05 units (timescale=1.829).
Factorization parameters were as follows:
name: (16*10^191-7)/9
n: 82905429064960492892446546401102851207709716257923855791406358121027685128379036667899534988442001145414894295493467057
skew: 64828.738281
# norm 7.74E+016
c5: 17280
c4: 23663102248
c3: 1216620397219238
c2: -64977991546399907181
c1: 801562380717716146640790
c0: -7074472263971952664800082359
#alpha -6.600000
Y1: 4367385213937
Y0: -86337969377655390346892
# Murphy_E 3.08E-010
# M 25944347532134769767907568398236224281537579246278114917804371101060475961289806978069322558141325860930682671642234443
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 10000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1750000, 3040001)
Primes: RFBsize:250150, AFBsize:251085, largePrimes:5868461 encountered
Relations: rels:5909219, finalFF:607135
Max relations in full relation-set: 28
Initial matrix: 501314 x 607135 with sparse part having weight 61027499.
Pruned matrix : 421447 x 424017 with weight 42368054.
Total sieving time: 82.18 hours.
Total relation processing time: 0.58 hours.
Matrix solve time: 3.97 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,48,48,2.5,2.5,60000
total time: 86.96 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Distributed sieving, stage-2: WinXP Pro + Cygwin

16×10193-79

c158

name 名前Tyler Cadigan
date 日付October 17, 2009 15:13:15 UTC 2009 年 10 月 18 日 (日) 0 時 13 分 15 秒 (日本時間)
composite number 合成数
29897577729987263351121737742387080067460264201163135704886761830414910918621330073647432413064902874620571121025724773256600087828620159733970422977746156819<158>
prime factors 素因数
114914680770244681417922046941865901060341833763525707<54>
260171960010602604461664775697366067467941159766507302878646963259902230029113380029567278481926693891417<105>
factorization results 素因数分解の結果
Number: 17777_193
N=29897577729987263351121737742387080067460264201163135704886761830414910918621330073647432413064902874620571121025724773256600087828620159733970422977746156819
  ( 158 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=114914680770244681417922046941865901060341833763525707 (pp54)
 r2=260171960010602604461664775697366067467941159766507302878646963259902230029113380029567278481926693891417 (pp105)
Version: Msieve v. 1.42
Total time: 392.12 hours.
Scaled time: 948.53 units (timescale=2.419).
Factorization parameters were as follows:
n: 29897577729987263351121737742387080067460264201163135704886761830414910918621330073647432413064902874620571121025724773256600087828620159733970422977746156819
m: 400000000000000000000000000000000000000
deg: 5
c5: 125
c0: -56
skew: 0.85
type: snfs
lss: 1
rlim: 12500000
alim: 12500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6250000, 11450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2224158 x 2224384
Total sieving time: 379.54 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 11.84 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12500000,12500000,28,28,55,55,2.5,2.5,100000
total time: 392.12 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
C2Q Q6600 2.4 GHz, 4 Gb RAM, Windows Vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6100Dmitry DomanovMay 21, 2009 18:26:25 UTC 2009 年 5 月 22 日 (金) 3 時 26 分 25 秒 (日本時間)
4511e61983 / 3599600Dmitry DomanovMay 21, 2009 18:26:37 UTC 2009 年 5 月 22 日 (金) 3 時 26 分 37 秒 (日本時間)
1000Dmitry DomanovJune 4, 2009 18:53:46 UTC 2009 年 6 月 5 日 (金) 3 時 53 分 46 秒 (日本時間)
383Dmitry DomanovJune 12, 2009 17:28:49 UTC 2009 年 6 月 13 日 (土) 2 時 28 分 49 秒 (日本時間)
5043e6245 / 7105200Dmitry DomanovMay 26, 2009 11:04:53 UTC 2009 年 5 月 26 日 (火) 20 時 4 分 53 秒 (日本時間)
45Dmitry DomanovJuly 1, 2009 01:42:14 UTC 2009 年 7 月 1 日 (水) 10 時 42 分 14 秒 (日本時間)

16×10194-79

c172

name 名前Dmitry Domanov
date 日付December 21, 2009 15:17:19 UTC 2009 年 12 月 22 日 (火) 0 時 17 分 19 秒 (日本時間)
composite number 合成数
4507937992224076175282785699191828465701998428817043371078391278475687732184850987495627021938332564937967244359115982438252106208394489099068936319590238462061614856583047<172>
prime factors 素因数
50759659653424490277812732539608015788481050765357913219568146221<65>
88809460563826870360116122356762381837736186016835833547259653844156804262828325126109903907817049613269507<107>
factorization results 素因数分解の結果
N=4507937992224076175282785699191828465701998428817043371078391278475687732184850987495627021938332564937967244359115982438252106208394489099068936319590238462061614856583047
  ( 172 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=50759659653424490277812732539608015788481050765357913219568146221 (pp65)
 r2=88809460563826870360116122356762381837736186016835833547259653844156804262828325126109903907817049613269507 (pp107)
Version: Msieve-1.40
Total time: 653.14 hours.
Scaled time: 609.38 units (timescale=0.933).
Factorization parameters were as follows:
n: 4507937992224076175282785699191828465701998428817043371078391278475687732184850987495627021938332564937967244359115982438252106208394489099068936319590238462061614856583047
m: 200000000000000000000000000000000000000
deg: 5
c5: 5000
c0: -7
skew: 0.27
type: snfs
lss: 1
rlim: 12500000
alim: 12500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6250000, 13450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2046136 x 2046361
Total sieving time: 643.51 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 8.29 hours.
Time per square root: 0.93 hours.
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12500000,12500000,28,28,55,55,2.5,2.5,100000
total time: 653.14 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6100Dmitry DomanovMay 20, 2009 06:51:19 UTC 2009 年 5 月 20 日 (水) 15 時 51 分 19 秒 (日本時間)
4511e61600300Dmitry DomanovMay 20, 2009 06:51:44 UTC 2009 年 5 月 20 日 (水) 15 時 51 分 44 秒 (日本時間)
300Dmitry DomanovMay 21, 2009 01:48:56 UTC 2009 年 5 月 21 日 (木) 10 時 48 分 56 秒 (日本時間)
1000Dmitry DomanovJune 4, 2009 18:54:02 UTC 2009 年 6 月 5 日 (金) 3 時 54 分 2 秒 (日本時間)
5043e62655 / 7191200Dmitry DomanovMay 26, 2009 11:04:59 UTC 2009 年 5 月 26 日 (火) 20 時 4 分 59 秒 (日本時間)
2455Dmitry DomanovJuly 1, 2009 01:43:01 UTC 2009 年 7 月 1 日 (水) 10 時 43 分 1 秒 (日本時間)

16×10197-79

c197

name 名前Dmitry Domanov
date 日付May 25, 2009 18:36:14 UTC 2009 年 5 月 26 日 (火) 3 時 36 分 14 秒 (日本時間)
composite number 合成数
59259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<197>
prime factors 素因数
2492719882705008579729261285974409303651590046350993<52>
23772931595889256247702401807095568187613434909292752523159600299070459234751820679071565671109595402287192339846210282361233657325888516506821963<146>
factorization results 素因数分解の結果
Number: big197
N=59259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
  ( 197 digits)
SNFS difficulty: 198 digits.
Divisors found:
r1=2492719882705008579729261285974409303651590046350993 (pp52)
r2=23772931595889256247702401807095568187613434909292752523159600299070459234751820679071565671109595402287192339846210282361233657325888516506821963 (pp146)
Version: Msieve v. 1.41
Total time: 619.58 hours.
Scaled time: 1231.72 units (timescale=1.988).
Factorization parameters were as follows:
n: 59259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
m: 2000000000000000000000000000000000000000
deg: 5
c5: 50
c0: -7
skew: 0.67
type: snfs
lss: 1
rlim: 14100000
alim: 14100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7050000, 15550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2584336 x 2584584
Total sieving time: 607.29 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 11.22 hours.
Time per square root: 0.65 hours.
Prototype def-par.txt line would be:
snfs,198.000,5,0,0,0,0,0,0,0,0,14100000,14100000,28,28,55,55,2.5,2.5,100000
total time: 619.58 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
255e421Makoto KamadaFebruary 3, 2009 17:38:49 UTC 2009 年 2 月 4 日 (水) 2 時 38 分 49 秒 (日本時間)
3025e442846Makoto KamadaFebruary 3, 2009 17:48:52 UTC 2009 年 2 月 4 日 (水) 2 時 48 分 52 秒 (日本時間)
382Andreas TeteApril 11, 2009 07:27:00 UTC 2009 年 4 月 11 日 (土) 16 時 27 分 0 秒 (日本時間)
351e60--
403e60--
4511e61000Dmitry DomanovMay 12, 2009 08:44:05 UTC 2009 年 5 月 12 日 (火) 17 時 44 分 5 秒 (日本時間)
5043e61500200Dmitry DomanovMay 12, 2009 08:44:29 UTC 2009 年 5 月 12 日 (火) 17 時 44 分 29 秒 (日本時間)
1000Dmitry DomanovMay 13, 2009 15:26:52 UTC 2009 年 5 月 14 日 (木) 0 時 26 分 52 秒 (日本時間)
300Dmitry DomanovMay 15, 2009 20:09:54 UTC 2009 年 5 月 16 日 (土) 5 時 9 分 54 秒 (日本時間)
5511e73700 / 171722500Dmitry DomanovMay 25, 2009 18:33:42 UTC 2009 年 5 月 26 日 (火) 3 時 33 分 42 秒 (日本時間)
1200Dmitry DomanovMay 25, 2009 18:33:59 UTC 2009 年 5 月 26 日 (火) 3 時 33 分 59 秒 (日本時間)

16×10198-79

c155

name 名前Dmitry Domanov
date 日付June 13, 2009 01:50:26 UTC 2009 年 6 月 13 日 (土) 10 時 50 分 26 秒 (日本時間)
composite number 合成数
25926457800453712939223291328598885165163985551369254541393944615363942214582361604723318316084750347479072940093964125661581463213788034005658516807854543<155>
prime factors 素因数
2304592382652143961731264096224704807494453<43>
970232895675790774671967182467598265874128054928869<51>
11595061808911655986014839901941482182826165063259278842132599<62>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=359511029
Step 1 took 596172ms
********** Factor found in step 1: 2304592382652143961731264096224704807494453
Found probable prime factor of 43 digits: 2304592382652143961731264096224704807494453
Composite cofactor 11249910394400128588769006741704920966079711840343348528218384849373111775151335952807607620202060052645211100531 has 113 digits

Number: 113
N=11249910394400128588769006741704920966079711840343348528218384849373111775151335952807607620202060052645211100531
  ( 113 digits)
Divisors found:
 r1=970232895675790774671967182467598265874128054928869 (pp51)
 r2=11595061808911655986014839901941482182826165063259278842132599 (pp62)


Version: Msieve v. 1.41
Total time: 22.41 hours.
Scaled time: 43.85 units (timescale=1.957).
Factorization parameters were as follows:
name: 113
n: 11249910394400128588769006741704920966079711840343348528218384849373111775151335952807607620202060052645211100531
skew: 59745.59
# norm 3.15e+015
c5: 5160
c4: -1695445366
c3: -45700015886565
c2: 3212891314605306753
c1: 22427336187626592335133
c0: 681835847596764281493583285
# alpha -6.11
Y1: 71639820263
Y0: -4652649231129391287936
# Murphy_E 7.55e-010
# M 1907449802102492470588219400247055954751799605254586842573274650345131418013743453796202936420222481907727438553
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 364394 x 364642
Polynomial selection time: 2.11 hours.
Total sieving time: 19.77 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 22.41 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM 6.2.3/GGNFS/msieve 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6400Dmitry DomanovMay 11, 2009 20:52:59 UTC 2009 年 5 月 12 日 (火) 5 時 52 分 59 秒 (日本時間)
4511e62812 / 4392300Dmitry DomanovMay 20, 2009 06:53:14 UTC 2009 年 5 月 20 日 (水) 15 時 53 分 14 秒 (日本時間)
300Dmitry DomanovMay 21, 2009 01:46:49 UTC 2009 年 5 月 21 日 (木) 10 時 46 分 49 秒 (日本時間)
600Dmitry DomanovMay 23, 2009 13:39:22 UTC 2009 年 5 月 23 日 (土) 22 時 39 分 22 秒 (日本時間)
600Dmitry DomanovMay 25, 2009 20:49:12 UTC 2009 年 5 月 26 日 (火) 5 時 49 分 12 秒 (日本時間)
1012Dmitry DomanovJune 4, 2009 18:54:26 UTC 2009 年 6 月 5 日 (金) 3 時 54 分 26 秒 (日本時間)

16×10199-79

c188

name 名前Dmitry Domanov
date 日付May 21, 2009 06:44:59 UTC 2009 年 5 月 21 日 (木) 15 時 44 分 59 秒 (日本時間)
composite number 合成数
10599157595003500809481007094640175982704970980378497906979396496457977625155678339392093145758812850047647240927000657286065187545702521474904907678175844372240973797211623035418258955307<188>
prime factors 素因数
23291472982858333436228811919662999043691<41>
composite cofactor 合成数の残り
455066006465288415070009733577160112444400511082951782000226631417419627374631140800240793491446540584054470178200734178991550975951296244405242177<147>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4270917581
Step 1 took 211781ms
Step 2 took 52875ms
********** Factor found in step 2: 23291472982858333436228811919662999043691
Found probable prime factor of 41 digits: 23291472982858333436228811919662999043691
Composite cofactor 455066006465288415070009733577160112444400511082951782000226631417419627374631140800240793491446540584054470178200734178991550975951296244405242177 has 147 digits
software ソフトウェア
GMP-ECM 6.2.3

c147

name 名前Dmitry Domanov
date 日付June 3, 2009 00:43:23 UTC 2009 年 6 月 3 日 (水) 9 時 43 分 23 秒 (日本時間)
composite number 合成数
455066006465288415070009733577160112444400511082951782000226631417419627374631140800240793491446540584054470178200734178991550975951296244405242177<147>
prime factors 素因数
1502739138045835488243594532007091714625588183<46>
composite cofactor 合成数の残り
302824352506754444443578645843911185284478634106196572443295670733987494299384968724155242087323594919<102>
factorization results 素因数分解の結果
[2009-06-02 23:45:23 GMT] a: Factor found!  test61 / (probable) 1502739138045835488243594532007091714625588183  B1: 11000000 sigma: 540716867 (found in step 2)
[2009-06-02 23:45:23 GMT] a:    Co-factor:  test61 / (Composite) 302824352506754444443578645843911185284478634106196572443295670733987494299384968724155242087323594919
software ソフトウェア
ECMNET/ECM-GMP 6.2.3

c102

name 名前Andreas Tete
date 日付June 14, 2009 20:41:09 UTC 2009 年 6 月 15 日 (月) 5 時 41 分 9 秒 (日本時間)
composite number 合成数
302824352506754444443578645843911185284478634106196572443295670733987494299384968724155242087323594919<102>
prime factors 素因数
452241368214969009042683359968470074470559<42>
669607810762702090792985421889647833991658340054391761378041<60>
factorization results 素因数分解の結果
Sun Jun 14 14:08:47 2009  Msieve v. 1.42
Sun Jun 14 14:08:47 2009  random seeds: c7bcd9dc 96bf054c
Sun Jun 14 14:08:47 2009  factoring 302824352506754444443578645843911185284478634106196572443295670733987494299384968724155242087323594919 (102 digits)
Sun Jun 14 14:08:48 2009  searching for 15-digit factors
Sun Jun 14 14:08:49 2009  commencing quadratic sieve (102-digit input)
Sun Jun 14 14:08:49 2009  using multiplier of 1
Sun Jun 14 14:08:49 2009  using 32kb Intel Core sieve core
Sun Jun 14 14:08:49 2009  sieve interval: 36 blocks of size 32768
Sun Jun 14 14:08:49 2009  processing polynomials in batches of 6
Sun Jun 14 14:08:49 2009  using a sieve bound of 3198347 (114987 primes)
Sun Jun 14 14:08:49 2009  using large prime bound of 479752050 (28 bits)
Sun Jun 14 14:08:49 2009  using double large prime bound of 4225034777495250 (44-52 bits)
Sun Jun 14 14:08:49 2009  using trial factoring cutoff of 52 bits
Sun Jun 14 14:08:49 2009  polynomial 'A' values have 13 factors
Sun Jun 14 14:08:59 2009  restarting with 17685 full and 1114340 partial relations
Sun Jun 14 18:09:23 2009  115177 relations (27268 full + 87909 combined from 1713973 partial), need 115083
Sun Jun 14 18:09:39 2009  begin with 1741241 relations
Sun Jun 14 18:09:40 2009  reduce to 304006 relations in 15 passes
Sun Jun 14 18:09:40 2009  attempting to read 304006 relations
Sun Jun 14 18:09:48 2009  recovered 304006 relations
Sun Jun 14 18:09:48 2009  recovered 294904 polynomials
Sun Jun 14 18:09:48 2009  attempting to build 115177 cycles
Sun Jun 14 18:09:48 2009  found 115177 cycles in 6 passes
Sun Jun 14 18:09:48 2009  distribution of cycle lengths:
Sun Jun 14 18:09:48 2009     length 1 : 27268
Sun Jun 14 18:09:48 2009     length 2 : 19448
Sun Jun 14 18:09:48 2009     length 3 : 19360
Sun Jun 14 18:09:48 2009     length 4 : 15827
Sun Jun 14 18:09:49 2009     length 5 : 12078
Sun Jun 14 18:09:49 2009     length 6 : 8314
Sun Jun 14 18:09:49 2009     length 7 : 5356
Sun Jun 14 18:09:49 2009     length 9+: 7526
Sun Jun 14 18:09:49 2009  largest cycle: 20 relations
Sun Jun 14 18:09:49 2009  matrix is 114987 x 115177 (32.8 MB) with weight 8128071 (70.57/col)
Sun Jun 14 18:09:49 2009  sparse part has weight 8128071 (70.57/col)
Sun Jun 14 18:09:50 2009  filtering completed in 3 passes
Sun Jun 14 18:09:50 2009  matrix is 110432 x 110496 (31.6 MB) with weight 7844676 (71.00/col)
Sun Jun 14 18:09:50 2009  sparse part has weight 7844676 (71.00/col)
Sun Jun 14 18:09:50 2009  saving the first 48 matrix rows for later
Sun Jun 14 18:09:50 2009  matrix is 110384 x 110496 (20.4 MB) with weight 6291124 (56.94/col)
Sun Jun 14 18:09:50 2009  sparse part has weight 4671682 (42.28/col)
Sun Jun 14 18:09:50 2009  matrix includes 64 packed rows
Sun Jun 14 18:09:50 2009  using block size 44198 for processor cache size 2048 kB
Sun Jun 14 18:09:51 2009  commencing Lanczos iteration
Sun Jun 14 18:09:51 2009  memory use: 19.2 MB
Sun Jun 14 18:10:58 2009  lanczos halted after 1747 iterations (dim = 110382)
Sun Jun 14 18:10:58 2009  recovered 17 nontrivial dependencies
Sun Jun 14 18:10:59 2009  prp42 factor: 452241368214969009042683359968470074470559
Sun Jun 14 18:10:59 2009  prp60 factor: 669607810762702090792985421889647833991658340054391761378041
Sun Jun 14 18:10:59 2009  elapsed time 04:02:12
total time 11:33:01
software ソフトウェア
Msieve v. 1.42
execution environment 実行環境
Intel Core 2 Duo / Windows Vista 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6400Dmitry DomanovMay 11, 2009 11:51:44 UTC 2009 年 5 月 11 日 (月) 20 時 51 分 44 秒 (日本時間)
4511e61267 / 3340577Dmitry DomanovMay 21, 2009 06:44:04 UTC 2009 年 5 月 21 日 (木) 15 時 44 分 4 秒 (日本時間)
600Dmitry DomanovJune 3, 2009 00:41:57 UTC 2009 年 6 月 3 日 (水) 9 時 41 分 57 秒 (日本時間)
90Andreas TeteJune 13, 2009 15:23:50 UTC 2009 年 6 月 14 日 (日) 0 時 23 分 50 秒 (日本時間)
5043e6300 / 7254Dmitry DomanovMay 23, 2009 13:56:51 UTC 2009 年 5 月 23 日 (土) 22 時 56 分 51 秒 (日本時間)

16×10200-79

c187

name 名前Serge Batalov
date 日付October 6, 2008 17:44:04 UTC 2008 年 10 月 7 日 (火) 2 時 44 分 4 秒 (日本時間)
composite number 合成数
5726911542324921192631401226810819483123729198168648417957770351959246453686352203386766836899598789539503531547835112533261478958972334777139783788954298178993671293788512901970527302159<187>
prime factors 素因数
73650921956704125918421412553905053<35>
77757499705047821516199564486492518620219929342504211246580583218570399145822019564955875866277439662266095840431970859014732292772322991513398308879003<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=437088288
Step 1 took 28010ms
Step 2 took 10289ms
********** Factor found in step 2: 73650921956704125918421412553905053
Found probable prime factor of 35 digits: 73650921956704125918421412553905053
Probable prime cofactor 77757499705047821516199564486492518620219929342504211246580583218570399145822019564955875866277439662266095840431970859014732292772322991513398308879003 has 152 digits
software ソフトウェア
GMP-ECM 6.2.1

16×10201-79

c154

name 名前Dmitry Domanov
date 日付September 15, 2009 22:04:20 UTC 2009 年 9 月 16 日 (水) 7 時 4 分 20 秒 (日本時間)
composite number 合成数
1651079715410025838144100574994609822134467419182606088142026532699619912566779531562727883567857863668652903030680602805075459914289735091963017083799241<154>
prime factors 素因数
444230759317260795175403240257992335842297058029<48>
3716716325424141693210925501479496473096886450257293112197934420640713023480015000833716684844466642631629<106>
factorization results 素因数分解の結果
Run 250 out of 800:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=315076985
Step 1 took 758047ms
Step 2 took 166062ms
********** Factor found in step 2: 444230759317260795175403240257992335842297058029
Found probable prime factor of 48 digits: 444230759317260795175403240257992335842297058029
Probable prime cofactor 3716716325424141693210925501479496473096886450257293112197934420640713023480015000833716684844466642631629 has 106 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:43:39 UTC 2009 年 7 月 4 日 (土) 23 時 43 分 39 秒 (日本時間)
403e62500Dmitry DomanovJuly 11, 2009 20:18:14 UTC 2009 年 7 月 12 日 (日) 5 時 18 分 14 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:41:31 UTC 2009 年 9 月 2 日 (水) 3 時 41 分 31 秒 (日本時間)

16×10202-79

c137

name 名前Dmitry Domanov
date 日付August 30, 2009 21:23:09 UTC 2009 年 8 月 31 日 (月) 6 時 23 分 9 秒 (日本時間)
composite number 合成数
16803699901191332856731624940085075709418965141403433009136434244527057083294180228918835965492442107538029009528292583619187682264261947<137>
prime factors 素因数
1081532647714971214037755172969779401345844853<46>
15536932645254557221822951817675878742208962257314811273026340883379604360838433963316815599<92>
factorization results 素因数分解の結果
Sieving ~ 18.5 cpu-days

Sun Aug 30 11:15:50 2009  Msieve v. 1.42
Sun Aug 30 11:15:50 2009  random seeds: bee3af00 d09e99d0
Sun Aug 30 11:15:50 2009  factoring 16803699901191332856731624940085075709418965141403433009136434244527057083294180228918835965492442107538029009528292583619187682264261947 (137 digits)
Sun Aug 30 11:15:52 2009  searching for 15-digit factors
Sun Aug 30 11:15:53 2009  commencing number field sieve (137-digit input)
Sun Aug 30 11:15:53 2009  R0: -291093131217969603025891500
Sun Aug 30 11:15:53 2009  R1:  926622307161661
Sun Aug 30 11:15:53 2009  A0: -30036619351616900804396764665813653
Sun Aug 30 11:15:53 2009  A1:  42857501262580016590013505029
Sun Aug 30 11:15:53 2009  A2:  97333981214042173293399
Sun Aug 30 11:15:53 2009  A3: -72897361794663101
Sun Aug 30 11:15:53 2009  A4: -63509433778
Sun Aug 30 11:15:53 2009  A5:  8040
Sun Aug 30 11:15:53 2009  skew 1401827.32, size 3.338525e-013, alpha -6.680700, combined = 3.197034e-011
Sun Aug 30 11:15:53 2009  
Sun Aug 30 11:15:53 2009  commencing relation filtering
Sun Aug 30 11:15:53 2009  estimated available RAM is 4094.1 MB
Sun Aug 30 11:15:53 2009  commencing duplicate removal, pass 1
Sun Aug 30 11:18:03 2009  error -6 reading relation 8603340
Sun Aug 30 11:21:44 2009  found 3672019 hash collisions in 23132690 relations
Sun Aug 30 11:23:26 2009  added 121221 free relations
Sun Aug 30 11:23:26 2009  commencing duplicate removal, pass 2
Sun Aug 30 11:24:44 2009  found 3326171 duplicates and 19927739 unique relations
Sun Aug 30 11:24:44 2009  memory use: 106.6 MB
Sun Aug 30 11:24:44 2009  reading ideals above 19595264
Sun Aug 30 11:24:59 2009  commencing singleton removal, initial pass
Sun Aug 30 11:30:51 2009  memory use: 298.4 MB
Sun Aug 30 11:30:51 2009  reading all ideals from disk
Sun Aug 30 11:30:51 2009  memory use: 326.5 MB
Sun Aug 30 11:30:53 2009  commencing in-memory singleton removal
Sun Aug 30 11:30:56 2009  begin with 19927739 relations and 19184707 unique ideals
Sun Aug 30 11:31:18 2009  reduce to 8405921 relations and 5821694 ideals in 19 passes
Sun Aug 30 11:31:18 2009  max relations containing the same ideal: 28
Sun Aug 30 11:31:20 2009  reading ideals above 100000
Sun Aug 30 11:31:20 2009  commencing singleton removal, initial pass
Sun Aug 30 11:34:58 2009  memory use: 149.2 MB
Sun Aug 30 11:34:58 2009  reading all ideals from disk
Sun Aug 30 11:34:59 2009  memory use: 326.5 MB
Sun Aug 30 11:35:01 2009  keeping 8264605 ideals with weight <= 200, target excess is 44720
Sun Aug 30 11:35:04 2009  commencing in-memory singleton removal
Sun Aug 30 11:35:06 2009  begin with 8407054 relations and 8264605 unique ideals
Sun Aug 30 11:35:35 2009  reduce to 8284360 relations and 8136440 ideals in 13 passes
Sun Aug 30 11:35:35 2009  max relations containing the same ideal: 200
Sun Aug 30 11:35:45 2009  removing 604136 relations and 556114 ideals in 48022 cliques
Sun Aug 30 11:35:46 2009  commencing in-memory singleton removal
Sun Aug 30 11:35:48 2009  begin with 7680224 relations and 8136440 unique ideals
Sun Aug 30 11:36:08 2009  reduce to 7647797 relations and 7547616 ideals in 10 passes
Sun Aug 30 11:36:08 2009  max relations containing the same ideal: 195
Sun Aug 30 11:36:18 2009  removing 436373 relations and 388351 ideals in 48022 cliques
Sun Aug 30 11:36:18 2009  commencing in-memory singleton removal
Sun Aug 30 11:36:20 2009  begin with 7211424 relations and 7547616 unique ideals
Sun Aug 30 11:36:36 2009  reduce to 7192976 relations and 7140672 ideals in 8 passes
Sun Aug 30 11:36:36 2009  max relations containing the same ideal: 186
Sun Aug 30 11:36:48 2009  relations with 0 large ideals: 129
Sun Aug 30 11:36:48 2009  relations with 1 large ideals: 111
Sun Aug 30 11:36:48 2009  relations with 2 large ideals: 1351
Sun Aug 30 11:36:48 2009  relations with 3 large ideals: 17575
Sun Aug 30 11:36:48 2009  relations with 4 large ideals: 127018
Sun Aug 30 11:36:48 2009  relations with 5 large ideals: 533702
Sun Aug 30 11:36:48 2009  relations with 6 large ideals: 1356073
Sun Aug 30 11:36:48 2009  relations with 7+ large ideals: 5157017
Sun Aug 30 11:36:48 2009  commencing 2-way merge
Sun Aug 30 11:37:02 2009  reduce to 4228031 relation sets and 4175727 unique ideals
Sun Aug 30 11:37:02 2009  commencing full merge
Sun Aug 30 11:39:22 2009  memory use: 438.0 MB
Sun Aug 30 11:39:23 2009  found 2185706 cycles, need 2181927
Sun Aug 30 11:39:24 2009  weight of 2181927 cycles is about 153056632 (70.15/cycle)
Sun Aug 30 11:39:24 2009  distribution of cycle lengths:
Sun Aug 30 11:39:24 2009  1 relations: 318590
Sun Aug 30 11:39:24 2009  2 relations: 287686
Sun Aug 30 11:39:24 2009  3 relations: 265305
Sun Aug 30 11:39:24 2009  4 relations: 224441
Sun Aug 30 11:39:24 2009  5 relations: 193393
Sun Aug 30 11:39:24 2009  6 relations: 158988
Sun Aug 30 11:39:24 2009  7 relations: 134476
Sun Aug 30 11:39:24 2009  8 relations: 111474
Sun Aug 30 11:39:24 2009  9 relations: 91852
Sun Aug 30 11:39:24 2009  10+ relations: 395722
Sun Aug 30 11:39:24 2009  heaviest cycle: 28 relations
Sun Aug 30 11:39:25 2009  commencing cycle optimization
Sun Aug 30 11:39:32 2009  start with 12568120 relations
Sun Aug 30 11:40:11 2009  pruned 267617 relations
Sun Aug 30 11:40:11 2009  memory use: 335.1 MB
Sun Aug 30 11:40:11 2009  distribution of cycle lengths:
Sun Aug 30 11:40:11 2009  1 relations: 318590
Sun Aug 30 11:40:11 2009  2 relations: 293890
Sun Aug 30 11:40:11 2009  3 relations: 273827
Sun Aug 30 11:40:11 2009  4 relations: 228287
Sun Aug 30 11:40:11 2009  5 relations: 196248
Sun Aug 30 11:40:11 2009  6 relations: 159693
Sun Aug 30 11:40:11 2009  7 relations: 134312
Sun Aug 30 11:40:11 2009  8 relations: 110397
Sun Aug 30 11:40:11 2009  9 relations: 90366
Sun Aug 30 11:40:11 2009  10+ relations: 376317
Sun Aug 30 11:40:11 2009  heaviest cycle: 28 relations
Sun Aug 30 11:40:24 2009  RelProcTime: 1471
Sun Aug 30 11:40:24 2009  
Sun Aug 30 11:40:24 2009  commencing linear algebra
Sun Aug 30 11:40:26 2009  read 2181927 cycles
Sun Aug 30 11:40:33 2009  cycles contain 7124612 unique relations
Sun Aug 30 11:47:52 2009  read 7124612 relations
Sun Aug 30 11:48:08 2009  using 20 quadratic characters above 268435034
Sun Aug 30 11:49:08 2009  building initial matrix
Sun Aug 30 11:51:23 2009  memory use: 814.7 MB
Sun Aug 30 11:51:31 2009  read 2181927 cycles
Sun Aug 30 11:55:11 2009  matrix is 2181750 x 2181927 (629.4 MB) with weight 206833828 (94.79/col)
Sun Aug 30 11:55:11 2009  sparse part has weight 147540980 (67.62/col)
Sun Aug 30 11:55:51 2009  filtering completed in 2 passes
Sun Aug 30 11:55:52 2009  matrix is 2180999 x 2181176 (629.4 MB) with weight 206805813 (94.81/col)
Sun Aug 30 11:55:52 2009  sparse part has weight 147535633 (67.64/col)
Sun Aug 30 11:56:09 2009  read 2181176 cycles
Sun Aug 30 12:02:33 2009  matrix is 2180999 x 2181176 (629.4 MB) with weight 206805813 (94.81/col)
Sun Aug 30 12:02:33 2009  sparse part has weight 147535633 (67.64/col)
Sun Aug 30 12:02:33 2009  saving the first 48 matrix rows for later
Sun Aug 30 12:02:35 2009  matrix is 2180951 x 2181176 (604.3 MB) with weight 164620917 (75.47/col)
Sun Aug 30 12:02:35 2009  sparse part has weight 145323930 (66.63/col)
Sun Aug 30 12:02:35 2009  matrix includes 64 packed rows
Sun Aug 30 12:02:35 2009  using block size 65536 for processor cache size 4096 kB
Sun Aug 30 12:02:59 2009  commencing Lanczos iteration (4 threads)
Sun Aug 30 12:02:59 2009  memory use: 673.2 MB
Sun Aug 30 20:35:43 2009  lanczos halted after 34495 iterations (dim = 2180951)
Sun Aug 30 20:35:49 2009  recovered 28 nontrivial dependencies
Sun Aug 30 20:35:52 2009  BLanczosTime: 32128
Sun Aug 30 20:35:52 2009  
Sun Aug 30 20:35:52 2009  commencing square root phase
Sun Aug 30 20:35:52 2009  reading relations for dependency 1
Sun Aug 30 20:35:54 2009  read 1092247 cycles
Sun Aug 30 20:35:57 2009  cycles contain 4349405 unique relations
Sun Aug 30 20:41:33 2009  read 4349405 relations
Sun Aug 30 20:42:16 2009  multiplying 3565232 relations
Sun Aug 30 21:00:27 2009  multiply complete, coefficients have about 168.77 million bits
Sun Aug 30 21:00:37 2009  initial square root is modulo 1139683
Sun Aug 30 21:22:39 2009  reading relations for dependency 2
Sun Aug 30 21:22:40 2009  read 1091237 cycles
Sun Aug 30 21:22:44 2009  cycles contain 4347764 unique relations
Sun Aug 30 21:29:18 2009  read 4347764 relations
Sun Aug 30 21:29:59 2009  multiplying 3563378 relations
Sun Aug 30 21:48:03 2009  multiply complete, coefficients have about 168.68 million bits
Sun Aug 30 21:48:13 2009  initial square root is modulo 1131341
Sun Aug 30 22:10:07 2009  reading relations for dependency 3
Sun Aug 30 22:10:08 2009  read 1090577 cycles
Sun Aug 30 22:10:12 2009  cycles contain 4345517 unique relations
Sun Aug 30 22:15:38 2009  read 4345517 relations
Sun Aug 30 22:16:19 2009  multiplying 3563306 relations
Sun Aug 30 22:34:24 2009  multiply complete, coefficients have about 168.68 million bits
Sun Aug 30 22:34:35 2009  initial square root is modulo 1131191
Sun Aug 30 22:56:32 2009  reading relations for dependency 4
Sun Aug 30 22:56:33 2009  read 1090876 cycles
Sun Aug 30 22:56:37 2009  cycles contain 4348230 unique relations
Sun Aug 30 23:02:54 2009  read 4348230 relations
Sun Aug 30 23:03:36 2009  multiplying 3564124 relations
Sun Aug 30 23:21:43 2009  multiply complete, coefficients have about 168.72 million bits
Sun Aug 30 23:21:53 2009  initial square root is modulo 1135019
Sun Aug 30 23:43:48 2009  sqrtTime: 11276
Sun Aug 30 23:43:48 2009  prp46 factor: 1081532647714971214037755172969779401345844853
Sun Aug 30 23:43:48 2009  prp92 factor: 15536932645254557221822951817675878742208962257314811273026340883379604360838433963316815599
Sun Aug 30 23:43:48 2009  elapsed time 12:27:58
software ソフトウェア
GGNFS/msieve 1.42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:43:54 UTC 2009 年 7 月 4 日 (土) 23 時 43 分 54 秒 (日本時間)
403e62500Dmitry DomanovJuly 11, 2009 20:18:04 UTC 2009 年 7 月 12 日 (日) 5 時 18 分 4 秒 (日本時間)

16×10203-79

c151

name 名前Dmitry Domanov
date 日付July 10, 2009 17:52:27 UTC 2009 年 7 月 11 日 (土) 2 時 52 分 27 秒 (日本時間)
composite number 合成数
2888893038960371690043079992589694586781998084061063695981839088511502295695751426056528372457623150374409276845110964295920629086324889462382674456037<151>
prime factors 素因数
1984302645679619731376987460864431244810793<43>
1455873198199023485232568455687174282481878946320103856260317493093157285145974619345505379447385520317097309<109>
factorization results 素因数分解の結果
C151=P43*P109
C151=1984302645679619731376987460864431244810793<43>*1455873198199023485232568455687174282481878946320103856260317493093157285145974619345505379447385520317097309<109>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61243118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1125Dmitry DomanovJuly 4, 2009 14:44:03 UTC 2009 年 7 月 4 日 (土) 23 時 44 分 3 秒 (日本時間)

16×10204-79

c175

name 名前Serge Batalov
date 日付July 7, 2009 01:06:44 UTC 2009 年 7 月 7 日 (火) 10 時 6 分 44 秒 (日本時間)
composite number 合成数
2493196331677329962113092906640041324893120029255972940868216553579922413989171909519886049482189251776021820481748159425816092600350275875830705445156042290525820126211600363<175>
prime factors 素因数
92895077195030726821601908997157473833<38>
26838842347296090104640832675754230252174815008475997450915157004722749871051392000924279403189951850376102607159797256027317218632935411<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3235440799
Step 1 took 13861ms
Step 2 took 12025ms
********** Factor found in step 2: 92895077195030726821601908997157473833
Found probable prime factor of 38 digits: 92895077195030726821601908997157473833
Probable prime cofactor has 137 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:44:23 UTC 2009 年 7 月 4 日 (土) 23 時 44 分 23 秒 (日本時間)

16×10205-79

c176

composite cofactor 合成数の残り
72900379267880442760064071630305333297158065301565123007083617569636604056207887271681972761221891388948896179324588564923126341258335345031062103919457904878644991327450894219<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:44:30 UTC 2009 年 7 月 4 日 (土) 23 時 44 分 30 秒 (日本時間)
403e62550Dmitry DomanovJuly 11, 2009 20:17:38 UTC 2009 年 7 月 12 日 (日) 5 時 17 分 38 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:41:44 UTC 2009 年 9 月 2 日 (水) 3 時 41 分 44 秒 (日本時間)
5043e60--
5511e72686 / 174672685yoyo@homeJuly 2, 2010 23:41:26 UTC 2010 年 7 月 3 日 (土) 8 時 41 分 26 秒 (日本時間)
1KTakahashiMarch 23, 2014 00:49:54 UTC 2014 年 3 月 23 日 (日) 9 時 49 分 54 秒 (日本時間)

16×10206-79

c183

composite cofactor 合成数の残り
316410746687615247757847018101461251624618034797309519118121407755499925752411267922844404223577779764459766377592882345296555627649898796678972130917949555164224619241346415991003591<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:44:36 UTC 2009 年 7 月 4 日 (土) 23 時 44 分 36 秒 (日本時間)
403e62500Dmitry DomanovJuly 11, 2009 20:17:52 UTC 2009 年 7 月 12 日 (日) 5 時 17 分 52 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:41:51 UTC 2009 年 9 月 2 日 (水) 3 時 41 分 51 秒 (日本時間)
5043e60--
5511e72686 / 174672685yoyo@homeJuly 10, 2010 03:21:27 UTC 2010 年 7 月 10 日 (土) 12 時 21 分 27 秒 (日本時間)
1KTakahashiMarch 23, 2014 01:04:00 UTC 2014 年 3 月 23 日 (日) 10 時 4 分 0 秒 (日本時間)

16×10208-79

c181

name 名前Dmitry Domanov
date 日付August 23, 2009 18:10:16 UTC 2009 年 8 月 24 日 (月) 3 時 10 分 16 秒 (日本時間)
composite number 合成数
1519711130164514276750903917378822321385745167563954331852079081877121449324114104562097093652000559070974213907036223426957287580238402851260621922492191771439984059643217699691471<181>
prime factors 素因数
33196494245589085028001912695928770935280171<44>
45779265693588795907442339030823949447819912433245685072037175910245588951267538385400947054816041565951371323741983261114872494043160301<137>
factorization results 素因数分解の結果
C181=P44*P137
C181=33196494245589085028001912695928770935280171<44>*45779265693588795907442339030823949447819912433245685072037175910245588951267538385400947054816041565951371323741983261114872494043160301<137>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:45:11 UTC 2009 年 7 月 4 日 (土) 23 時 45 分 11 秒 (日本時間)
403e62520Dmitry DomanovJuly 11, 2009 20:19:00 UTC 2009 年 7 月 12 日 (日) 5 時 19 分 0 秒 (日本時間)

16×10209-79

c172

composite cofactor 合成数の残り
1279016406686192411387753419385944360122566462526296152588925446172946588086648032011886832913973217706118540094359562898713499221302183067927697658984589251028515191942353<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:45:20 UTC 2009 年 7 月 4 日 (土) 23 時 45 分 20 秒 (日本時間)
403e62520Dmitry DomanovJuly 11, 2009 20:19:09 UTC 2009 年 7 月 12 日 (日) 5 時 19 分 9 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:41:56 UTC 2009 年 9 月 2 日 (水) 3 時 41 分 56 秒 (日本時間)
5043e60--
5511e72686 / 174672685yoyo@homeJuly 10, 2010 05:00:51 UTC 2010 年 7 月 10 日 (土) 14 時 0 分 51 秒 (日本時間)
1KTakahashiMarch 23, 2014 00:36:13 UTC 2014 年 3 月 23 日 (日) 9 時 36 分 13 秒 (日本時間)

16×10210-79

c190

name 名前Dmitry Domanov
date 日付July 6, 2009 18:15:50 UTC 2009 年 7 月 7 日 (火) 3 時 15 分 50 秒 (日本時間)
composite number 合成数
1088536981004767681079788316243363762924252966380003076829398681164240721389042840308672156952194257419048558561428552461792026823492381523404712869850482800145582439838121784940373063549419<190>
prime factors 素因数
34982088008588268790615606126668383363<38>
composite cofactor 合成数の残り
31116981374511626666850275119962721699651581221812870177327853705301792800990178959233683888734687635721087961901222646746337176618805370691748725153913<152>
factorization results 素因数分解の結果
C190=P38*C152
C190=34982088008588268790615606126668383363<38>*31116981374511626666850275119962721699651581221812870177327853705301792800990178959233683888734687635721087961901222646746337176618805370691748725153913<152>
software ソフトウェア
ECMNET

c152

name 名前Dmitry Domanov
date 日付August 13, 2009 08:12:58 UTC 2009 年 8 月 13 日 (木) 17 時 12 分 58 秒 (日本時間)
composite number 合成数
31116981374511626666850275119962721699651581221812870177327853705301792800990178959233683888734687635721087961901222646746337176618805370691748725153913<152>
prime factors 素因数
1742276401997614863682400832116335307416429<43>
17859956858070459648332660652295189478614882396823687035320140864284662019894144474128047165289895725299940797<110>
factorization results 素因数分解の結果
C152=P43*P110
C152=1742276401997614863682400832116335307416429<43>*17859956858070459648332660652295189478614882396823687035320140864284662019894144474128047165289895725299940797<110>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61275118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1157Dmitry DomanovJuly 4, 2009 14:45:26 UTC 2009 年 7 月 4 日 (土) 23 時 45 分 26 秒 (日本時間)
403e62520Dmitry DomanovJuly 11, 2009 20:19:25 UTC 2009 年 7 月 12 日 (日) 5 時 19 分 25 秒 (日本時間)

16×10212-79

c199

name 名前matsui
date 日付September 21, 2011 10:16:59 UTC 2011 年 9 月 21 日 (水) 19 時 16 分 59 秒 (日本時間)
composite number 合成数
1658320710578251959609155863020212839986768073059968718124202957537408351130782833236092191897020929189373848718325500810977662969514111737300630560271244400040047233797399984643027229624102233498441<199>
prime factors 素因数
10451763501887822600782540635006624555834473200077475854798917388022025321<74>
158664201527208503524881322672278359985895119261915957455246601366090994958414719025461293673612486055829034938110997910602721<126>
factorization results 素因数分解の結果
N=1658320710578251959609155863020212839986768073059968718124202957537408351130782833236092191897020929189373848718325500810977662969514111737300630560271244400040047233797399984643027229624102233498441
  ( 199 digits)
SNFS difficulty: 213 digits.
Divisors found:
 r1=10451763501887822600782540635006624555834473200077475854798917388022025321 (pp74)
 r2=158664201527208503524881322672278359985895119261915957455246601366090994958414719025461293673612486055829034938110997910602721 (pp126)
Version: Msieve v. 1.50
Total time:
Scaled time: 227.56 units (timescale=1.676).
Factorization parameters were as follows:
n: 1658320710578251959609155863020212839986768073059968718124202957537408351130782833236092191897020929189373848718325500810977662969514111737300630560271244400040047233797399984643027229624102233498441
m: 200000000000000000000000000000000000
deg: 6
c6: 25
c0: -7
skew: 0.81
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [12500000, 34260001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4676505 x 4676732
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,213.000,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time:
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:45:38 UTC 2009 年 7 月 4 日 (土) 23 時 45 分 38 秒 (日本時間)
403e62637Dmitry DomanovJuly 11, 2009 20:20:14 UTC 2009 年 7 月 12 日 (日) 5 時 20 分 14 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:42:04 UTC 2009 年 9 月 2 日 (水) 3 時 42 分 4 秒 (日本時間)
5043e60--
5511e72680 / 17466yoyo@homeJuly 10, 2010 07:00:56 UTC 2010 年 7 月 10 日 (土) 16 時 0 分 56 秒 (日本時間)

16×10213-79

c214

name 名前Jo Yeong Uk
date 日付July 7, 2009 23:55:52 UTC 2009 年 7 月 8 日 (水) 8 時 55 分 52 秒 (日本時間)
composite number 合成数
1777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<214>
prime factors 素因数
8468548142759467301501936286449486551<37>
composite cofactor 合成数の残り
209927102947128172255527477476720550184027075544562096491537855794730425872278030664899902187563513228333907561760924717146946260073314975849230630876994684540632973031211495927<177>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 1777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (214 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=623747480
Step 1 took 23282ms
Step 2 took 8537ms
********** Factor found in step 2: 8468548142759467301501936286449486551
Found probable prime factor of 37 digits: 8468548142759467301501936286449486551
Composite cofactor 209927102947128172255527477476720550184027075544562096491537855794730425872278030664899902187563513228333907561760924717146946260073314975849230630876994684540632973031211495927 has 177 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
786Jo Yeong UkJuly 3, 2009 05:26:56 UTC 2009 年 7 月 3 日 (金) 14 時 26 分 56 秒 (日本時間)
403e62800300Serge BatalovJuly 7, 2009 01:45:04 UTC 2009 年 7 月 7 日 (火) 10 時 45 分 4 秒 (日本時間)
2500Dmitry DomanovJuly 8, 2009 15:39:14 UTC 2009 年 7 月 9 日 (木) 0 時 39 分 14 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:38:27 UTC 2009 年 9 月 2 日 (水) 3 時 38 分 27 秒 (日本時間)
5043e6500Dmitry DomanovSeptember 1, 2009 18:38:27 UTC 2009 年 9 月 2 日 (水) 3 時 38 分 27 秒 (日本時間)
5511e72505 / 172862475yoyo@homeJuly 10, 2010 08:41:14 UTC 2010 年 7 月 10 日 (土) 17 時 41 分 14 秒 (日本時間)
30KTakahashiApril 21, 2014 20:19:40 UTC 2014 年 4 月 22 日 (火) 5 時 19 分 40 秒 (日本時間)

16×10215-79

c194

composite cofactor 合成数の残り
21375846674072666961850102431811109810604246423911652820381501525693657799001282984714713553321668953046987643833269888500893096790870996941901010458360477070678255479652613284425235610265523559<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:47:12 UTC 2009 年 7 月 4 日 (土) 23 時 47 分 12 秒 (日本時間)
403e62530Dmitry DomanovJuly 11, 2009 20:20:56 UTC 2009 年 7 月 12 日 (日) 5 時 20 分 56 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:42:11 UTC 2009 年 9 月 2 日 (水) 3 時 42 分 11 秒 (日本時間)
5043e60--
5511e72686 / 174672685yoyo@homeJuly 10, 2010 11:07:40 UTC 2010 年 7 月 10 日 (土) 20 時 7 分 40 秒 (日本時間)
1KTakahashiMarch 23, 2014 02:14:43 UTC 2014 年 3 月 23 日 (日) 11 時 14 分 43 秒 (日本時間)

16×10217-79

c211

name 名前RSALS + Lionel Debroux
date 日付November 3, 2009 07:47:55 UTC 2009 年 11 月 3 日 (火) 16 時 47 分 55 秒 (日本時間)
composite number 合成数
8500001089062639536150690569307229192488740287619849351293198134441010975254531204486810574872604905552503523914514001547106448223013678573627567246032053397856841600407830052253225444944510133515360856655609759<211>
prime factors 素因数
7897261403265468514843287619013563217249733055445218350552148477846264432526263073<82>
1076322620591986724257847200110126010314558644320810310385662610774870419875504652264090292435220197925549910589490097242891233983<130>
factorization results 素因数分解の結果
Fri Oct 29 15:12:53 2009  Msieve v. 1.43
Fri Oct 29 15:12:53 2009  random seeds: 1be0c4fb f4fd774d
Fri Oct 29 15:12:53 2009  factoring 8500001089062639536150690569307229192488740287619849351293198134441010975254531204486810574872604905552503523914514001547106448223013678573627567246032053397856841600407830052253225444944510133515360856655609759 (211 digits)
Fri Oct 29 15:12:56 2009  searching for 15-digit factors
Fri Oct 29 15:12:57 2009  commencing number field sieve (211-digit input)
Fri Oct 29 15:12:57 2009  R0: -2000000000000000000000000000000000000
Fri Oct 29 15:12:57 2009  R1:  1
Fri Oct 29 15:12:57 2009  A0: -14
Fri Oct 29 15:12:57 2009  A1:  0
Fri Oct 29 15:12:57 2009  A2:  0
Fri Oct 29 15:12:57 2009  A3:  0
Fri Oct 29 15:12:57 2009  A4:  0
Fri Oct 29 15:12:57 2009  A5:  0
Fri Oct 29 15:12:57 2009  A6:  5
Fri Oct 29 15:12:57 2009  skew 1.19, size 9.452967e-11, alpha 0.913323, combined = 3.206796e-12
Fri Oct 29 15:12:57 2009  
Fri Oct 29 15:12:57 2009  commencing relation filtering
Fri Oct 29 15:12:57 2009  estimated available RAM is 1280.0 MB
Fri Oct 29 15:12:57 2009  commencing duplicate removal, pass 1
Fri Oct 29 15:21:42 2009  found 8759283 hash collisions in 53865618 relations
Fri Oct 29 15:22:15 2009  added 1218610 free relations
Fri Oct 29 15:22:15 2009  commencing duplicate removal, pass 2
Fri Oct 29 15:24:28 2009  found 7936035 duplicates and 47148193 unique relations
Fri Oct 29 15:24:28 2009  memory use: 330.4 MB
Fri Oct 29 15:24:28 2009  reading ideals above 44892160
Fri Oct 29 15:24:28 2009  commencing singleton removal, initial pass
Fri Oct 29 15:34:08 2009  memory use: 1065.5 MB
Fri Oct 29 15:34:08 2009  removing singletons from LP file
Fri Oct 29 15:34:08 2009  start with 47148193 relations and 41210405 ideals
Fri Oct 29 15:34:39 2009  pass 1: found 13606580 singletons
Fri Oct 29 15:35:08 2009  pruned dataset has 33541613 relations and 25481673 large ideals
Fri Oct 29 15:35:10 2009  reading all ideals from disk
Fri Oct 29 15:35:18 2009  memory use: 542.1 MB
Fri Oct 29 15:35:23 2009  commencing in-memory singleton removal
Fri Oct 29 15:35:27 2009  begin with 33541613 relations and 25481673 unique ideals
Fri Oct 29 15:36:24 2009  reduce to 27492294 relations and 19190861 ideals in 15 passes
Fri Oct 29 15:36:24 2009  max relations containing the same ideal: 34
Fri Oct 29 15:36:29 2009  reading ideals above 720000
Fri Oct 29 15:36:29 2009  commencing singleton removal, initial pass
Fri Oct 29 15:43:46 2009  memory use: 532.8 MB
Fri Oct 29 15:43:46 2009  reading large ideals from disk
Fri Oct 29 15:44:15 2009  keeping 21950765 ideals with weight <= 20, target excess is 2659545
Fri Oct 29 15:44:53 2009  memory use: 698.7 MB
Fri Oct 29 15:44:53 2009  commencing in-memory singleton removal
Fri Oct 29 15:44:58 2009  begin with 27492304 relations and 21950765 unique ideals
Fri Oct 29 15:45:44 2009  reduce to 27467887 relations and 21926298 ideals in 10 passes
Fri Oct 29 15:45:44 2009  max relations containing the same ideal: 20
Fri Oct 29 15:46:07 2009  removing 2899482 relations and 2499482 ideals in 400000 cliques
Fri Oct 29 15:46:09 2009  commencing in-memory singleton removal
Fri Oct 29 15:46:13 2009  begin with 24568405 relations and 21926298 unique ideals
Fri Oct 29 15:46:50 2009  reduce to 24338001 relations and 19191920 ideals in 9 passes
Fri Oct 29 15:46:50 2009  max relations containing the same ideal: 20
Fri Oct 29 15:47:10 2009  removing 2148119 relations and 1748119 ideals in 400000 cliques
Fri Oct 29 15:47:11 2009  commencing in-memory singleton removal
Fri Oct 29 15:47:15 2009  begin with 22189882 relations and 19191920 unique ideals
Fri Oct 29 15:47:48 2009  reduce to 22052686 relations and 17304302 ideals in 9 passes
Fri Oct 29 15:47:48 2009  max relations containing the same ideal: 20
Fri Oct 29 15:48:06 2009  removing 1906876 relations and 1506876 ideals in 400000 cliques
Fri Oct 29 15:48:07 2009  commencing in-memory singleton removal
Fri Oct 29 15:48:11 2009  begin with 20145810 relations and 17304302 unique ideals
Fri Oct 29 15:48:34 2009  reduce to 20026245 relations and 15675818 ideals in 7 passes
Fri Oct 29 15:48:34 2009  max relations containing the same ideal: 20
Fri Oct 29 15:48:50 2009  removing 1784485 relations and 1384485 ideals in 400000 cliques
Fri Oct 29 15:48:51 2009  commencing in-memory singleton removal
Fri Oct 29 15:48:54 2009  begin with 18241760 relations and 15675818 unique ideals
Fri Oct 29 15:49:18 2009  reduce to 18128520 relations and 14176097 ideals in 8 passes
Fri Oct 29 15:49:18 2009  max relations containing the same ideal: 20
Fri Oct 29 15:49:32 2009  removing 1699578 relations and 1299578 ideals in 400000 cliques
Fri Oct 29 15:49:34 2009  commencing in-memory singleton removal
Fri Oct 29 15:49:36 2009  begin with 16428942 relations and 14176097 unique ideals
Fri Oct 29 15:49:55 2009  reduce to 16315703 relations and 12761159 ideals in 7 passes
Fri Oct 29 15:49:55 2009  max relations containing the same ideal: 20
Fri Oct 29 15:50:08 2009  removing 1641895 relations and 1241895 ideals in 400000 cliques
Fri Oct 29 15:50:09 2009  commencing in-memory singleton removal
Fri Oct 29 15:50:11 2009  begin with 14673808 relations and 12761159 unique ideals
Fri Oct 29 15:50:27 2009  reduce to 14553594 relations and 11396492 ideals in 7 passes
Fri Oct 29 15:50:27 2009  max relations containing the same ideal: 20
Fri Oct 29 15:50:39 2009  removing 403128 relations and 331099 ideals in 72029 cliques
Fri Oct 29 15:50:39 2009  commencing in-memory singleton removal
Fri Oct 29 15:50:42 2009  begin with 14150466 relations and 11396492 unique ideals
Fri Oct 29 15:50:55 2009  reduce to 14143576 relations and 11058472 ideals in 6 passes
Fri Oct 29 15:50:55 2009  max relations containing the same ideal: 19
Fri Oct 29 15:50:59 2009  relations with 0 large ideals: 292627
Fri Oct 29 15:50:59 2009  relations with 1 large ideals: 1412588
Fri Oct 29 15:50:59 2009  relations with 2 large ideals: 3397450
Fri Oct 29 15:50:59 2009  relations with 3 large ideals: 4284035
Fri Oct 29 15:50:59 2009  relations with 4 large ideals: 3066394
Fri Oct 29 15:50:59 2009  relations with 5 large ideals: 1284602
Fri Oct 29 15:50:59 2009  relations with 6 large ideals: 317678
Fri Oct 29 15:50:59 2009  relations with 7+ large ideals: 88202
Fri Oct 29 15:50:59 2009  commencing 2-way merge
Fri Oct 29 15:51:14 2009  reduce to 9477159 relation sets and 6392055 unique ideals
Fri Oct 29 15:51:14 2009  commencing full merge
Fri Oct 29 15:53:33 2009  memory use: 619.5 MB
Fri Oct 29 15:53:34 2009  found 4822262 cycles, need 4400255
Fri Oct 29 15:53:37 2009  weight of 4400255 cycles is about 308133690 (70.03/cycle)
Fri Oct 29 15:53:37 2009  distribution of cycle lengths:
Fri Oct 29 15:53:37 2009  1 relations: 568844
Fri Oct 29 15:53:37 2009  2 relations: 499899
Fri Oct 29 15:53:37 2009  3 relations: 498118
Fri Oct 29 15:53:37 2009  4 relations: 463201
Fri Oct 29 15:53:37 2009  5 relations: 432873
Fri Oct 29 15:53:37 2009  6 relations: 389387
Fri Oct 29 15:53:37 2009  7 relations: 346960
Fri Oct 29 15:53:37 2009  8 relations: 302531
Fri Oct 29 15:53:37 2009  9 relations: 258712
Fri Oct 29 15:53:37 2009  10+ relations: 639730
Fri Oct 29 15:53:37 2009  heaviest cycle: 16 relations
Fri Oct 29 15:53:38 2009  commencing cycle optimization
Fri Oct 29 15:53:49 2009  start with 23784516 relations
Fri Oct 29 15:54:49 2009  pruned 791684 relations
Fri Oct 29 15:54:49 2009  memory use: 766.7 MB
Fri Oct 29 15:54:49 2009  distribution of cycle lengths:
Fri Oct 29 15:54:49 2009  1 relations: 568844
Fri Oct 29 15:54:49 2009  2 relations: 514768
Fri Oct 29 15:54:49 2009  3 relations: 523157
Fri Oct 29 15:54:49 2009  4 relations: 482746
Fri Oct 29 15:54:49 2009  5 relations: 451923
Fri Oct 29 15:54:49 2009  6 relations: 401981
Fri Oct 29 15:54:49 2009  7 relations: 356417
Fri Oct 29 15:54:49 2009  8 relations: 305132
Fri Oct 29 15:54:49 2009  9 relations: 255583
Fri Oct 29 15:54:49 2009  10+ relations: 539704
Fri Oct 29 15:54:49 2009  heaviest cycle: 16 relations
Fri Oct 29 15:55:03 2009  RelProcTime: 2526
Fri Oct 29 15:55:03 2009  elapsed time 00:42:10
Fri Oct 29 15:55:57 2009  
Fri Oct 29 15:55:57 2009  
Fri Oct 29 15:55:57 2009  Msieve v. 1.43
Fri Oct 29 15:55:57 2009  random seeds: 06696a6a 921726f3
Fri Oct 29 15:55:57 2009  factoring 8500001089062639536150690569307229192488740287619849351293198134441010975254531204486810574872604905552503523914514001547106448223013678573627567246032053397856841600407830052253225444944510133515360856655609759 (211 digits)
Fri Oct 29 15:56:00 2009  searching for 15-digit factors
Fri Oct 29 15:56:01 2009  commencing number field sieve (211-digit input)
Fri Oct 29 15:56:01 2009  R0: -2000000000000000000000000000000000000
Fri Oct 29 15:56:01 2009  R1:  1
Fri Oct 29 15:56:01 2009  A0: -14
Fri Oct 29 15:56:01 2009  A1:  0
Fri Oct 29 15:56:01 2009  A2:  0
Fri Oct 29 15:56:01 2009  A3:  0
Fri Oct 29 15:56:01 2009  A4:  0
Fri Oct 29 15:56:01 2009  A5:  0
Fri Oct 29 15:56:01 2009  A6:  5
Fri Oct 29 15:56:01 2009  skew 1.19, size 9.452967e-11, alpha 0.913323, combined = 3.206796e-12
Fri Oct 29 15:56:01 2009  
Fri Oct 29 15:56:01 2009  commencing linear algebra
Fri Oct 29 15:56:02 2009  read 4400255 cycles
Fri Oct 29 15:56:15 2009  cycles contain 12582213 unique relations
Fri Oct 29 16:00:54 2009  read 12582213 relations
Fri Oct 29 16:04:52 2009  using 20 quadratic characters above 536870870
Fri Oct 29 16:06:32 2009  building initial matrix
Fri Oct 29 16:13:53 2009  memory use: 1588.0 MB
Fri Oct 29 16:14:05 2009  read 4400255 cycles
Fri Oct 29 16:14:32 2009  matrix is 4399717 x 4400255 (1290.6 MB) with weight 382534401 (86.93/col)
Fri Oct 29 16:14:32 2009  sparse part has weight 294330484 (66.89/col)
Fri Oct 29 16:16:46 2009  filtering completed in 3 passes
Fri Oct 29 16:16:47 2009  matrix is 4384355 x 4384555 (1288.1 MB) with weight 381708992 (87.06/col)
Fri Oct 29 16:16:47 2009  sparse part has weight 293829804 (67.01/col)
Fri Oct 29 16:17:32 2009  read 4384555 cycles
Fri Oct 29 16:18:02 2009  matrix is 4384355 x 4384555 (1288.1 MB) with weight 381708992 (87.06/col)
Fri Oct 29 16:18:02 2009  sparse part has weight 293829804 (67.01/col)
Fri Oct 29 16:18:02 2009  saving the first 48 matrix rows for later
Fri Oct 29 16:18:05 2009  matrix is 4384307 x 4384555 (1242.3 MB) with weight 301340925 (68.73/col)
Fri Oct 29 16:18:05 2009  sparse part has weight 281805898 (64.27/col)
Fri Oct 29 16:18:05 2009  matrix includes 64 packed rows
Fri Oct 29 16:18:05 2009  using block size 65536 for processor cache size 4096 kB
Fri Oct 29 16:18:30 2009  commencing Lanczos iteration (2 threads)
Fri Oct 29 16:18:30 2009  memory use: 1280.3 MB
Fri Oct 29 16:47:22 2009  lanczos halted after 378 iterations (dim = 23886)
Fri Oct 29 16:47:22 2009  BLanczosTime: 3081
Fri Oct 29 16:47:22 2009  elapsed time 00:51:25
Fri Oct 29 17:03:15 2009  
Fri Oct 29 17:03:15 2009  
Fri Oct 29 17:03:15 2009  Msieve v. 1.43
Fri Oct 29 17:03:15 2009  random seeds: 9d027af2 4992c51d
Fri Oct 29 17:03:15 2009  factoring 8500001089062639536150690569307229192488740287619849351293198134441010975254531204486810574872604905552503523914514001547106448223013678573627567246032053397856841600407830052253225444944510133515360856655609759 (211 digits)
Fri Oct 29 17:03:18 2009  searching for 15-digit factors
Fri Oct 29 17:03:19 2009  commencing number field sieve (211-digit input)
Fri Oct 29 17:03:19 2009  R0: -2000000000000000000000000000000000000
Fri Oct 29 17:03:19 2009  R1:  1
Fri Oct 29 17:03:19 2009  A0: -14
Fri Oct 29 17:03:19 2009  A1:  0
Fri Oct 29 17:03:19 2009  A2:  0
Fri Oct 29 17:03:19 2009  A3:  0
Fri Oct 29 17:03:19 2009  A4:  0
Fri Oct 29 17:03:19 2009  A5:  0
Fri Oct 29 17:03:19 2009  A6:  5
Fri Oct 29 17:03:19 2009  skew 1.19, size 9.452967e-11, alpha 0.913323, combined = 3.206796e-12
Fri Oct 29 17:03:19 2009  
Fri Oct 29 17:03:19 2009  commencing linear algebra
Fri Oct 29 17:03:21 2009  read 4384555 cycles
Fri Oct 29 17:03:50 2009  matrix is 4384355 x 4384555 (1288.1 MB) with weight 381708992 (87.06/col)
Fri Oct 29 17:03:51 2009  sparse part has weight 293829804 (67.01/col)
Fri Oct 29 17:03:51 2009  saving the first 48 matrix rows for later
Fri Oct 29 17:03:54 2009  matrix is 4384307 x 4384555 (1242.3 MB) with weight 301340925 (68.73/col)
Fri Oct 29 17:03:54 2009  sparse part has weight 281805898 (64.27/col)
Fri Oct 29 17:03:54 2009  matrix includes 64 packed rows
Fri Oct 29 17:03:54 2009  using block size 65536 for processor cache size 4096 kB
Fri Oct 29 17:04:19 2009  commencing Lanczos iteration (2 threads)
Fri Oct 29 17:04:19 2009  memory use: 1280.3 MB
Fri Oct 29 17:04:23 2009  restarting at iteration 378 (dim = 23886)
Fri Oct 29 17:09:53 2009  lanczos halted after 455 iterations (dim = 28764)
Fri Oct 29 17:09:53 2009  BLanczosTime: 394
Fri Oct 29 17:09:53 2009  elapsed time 00:06:38
Fri Oct 30 11:29:31 2009  
Fri Oct 30 11:29:32 2009  
Fri Oct 30 11:29:32 2009  Msieve v. 1.44
Fri Oct 30 11:29:32 2009  random seeds: dbcaf00b 6da27e00
Fri Oct 30 11:29:32 2009  factoring 8500001089062639536150690569307229192488740287619849351293198134441010975254531204486810574872604905552503523914514001547106448223013678573627567246032053397856841600407830052253225444944510133515360856655609759 (211 digits)
Fri Oct 30 11:29:34 2009  no P-1/P+1/ECM available, skipping
Fri Oct 30 11:29:34 2009  commencing number field sieve (211-digit input)
Fri Oct 30 11:29:34 2009  R0: -2000000000000000000000000000000000000
Fri Oct 30 11:29:34 2009  R1:  1
Fri Oct 30 11:29:34 2009  A0: -14
Fri Oct 30 11:29:34 2009  A1:  0
Fri Oct 30 11:29:34 2009  A2:  0
Fri Oct 30 11:29:34 2009  A3:  0
Fri Oct 30 11:29:34 2009  A4:  0
Fri Oct 30 11:29:34 2009  A5:  0
Fri Oct 30 11:29:34 2009  A6:  5
Fri Oct 30 11:29:34 2009  skew 1.19, size 9.452967e-11, alpha 0.913323, combined = 3.206796e-12
Fri Oct 30 11:29:34 2009  
Fri Oct 30 11:29:34 2009  commencing linear algebra
Fri Oct 30 11:29:37 2009  read 4384555 cycles
Fri Oct 30 11:31:33 2009  matrix is 4384355 x 4384555 (1288.1 MB) with weight 381708992 (87.06/col)
Fri Oct 30 11:31:33 2009  sparse part has weight 293829804 (67.01/col)
Fri Oct 30 11:31:36 2009  saving the first 48 matrix rows for later
Fri Oct 30 11:31:38 2009  matrix is 4384307 x 4384555 (1242.3 MB) with weight 301340925 (68.73/col)
Fri Oct 30 11:31:39 2009  sparse part has weight 281805898 (64.27/col)
Fri Oct 30 11:31:39 2009  matrix includes 64 packed rows
Fri Oct 30 11:31:39 2009  using block size 65536 for processor cache size 4096 kB
Fri Oct 30 11:32:12 2009  commencing Lanczos iteration (2 threads)
Fri Oct 30 11:32:12 2009  memory use: 1280.3 MB
Fri Oct 30 11:32:29 2009  restarting at iteration 455 (dim = 28764)
Fri Oct 30 11:36:05 2009  linear algebra at 0.7%, ETA 346h33m
Sat Oct 31 08:13:02 2009  
Sat Oct 31 08:13:02 2009  
Sat Oct 31 08:13:02 2009  Msieve v. 1.44
Sat Oct 31 08:13:02 2009  random seeds: 5697b0eb 2dd51323
Sat Oct 31 08:13:02 2009  factoring 8500001089062639536150690569307229192488740287619849351293198134441010975254531204486810574872604905552503523914514001547106448223013678573627567246032053397856841600407830052253225444944510133515360856655609759 (211 digits)
Sat Oct 31 08:13:05 2009  no P-1/P+1/ECM available, skipping
Sat Oct 31 08:13:05 2009  commencing number field sieve (211-digit input)
Sat Oct 31 08:13:05 2009  R0: -2000000000000000000000000000000000000
Sat Oct 31 08:13:05 2009  R1:  1
Sat Oct 31 08:13:05 2009  A0: -14
Sat Oct 31 08:13:05 2009  A1:  0
Sat Oct 31 08:13:05 2009  A2:  0
Sat Oct 31 08:13:05 2009  A3:  0
Sat Oct 31 08:13:05 2009  A4:  0
Sat Oct 31 08:13:05 2009  A5:  0
Sat Oct 31 08:13:05 2009  A6:  5
Sat Oct 31 08:13:05 2009  skew 1.19, size 9.452967e-11, alpha 0.913323, combined = 3.206796e-12
Sat Oct 31 08:13:05 2009  
Sat Oct 31 08:13:05 2009  commencing linear algebra
Sat Oct 31 08:13:07 2009  read 4384555 cycles
Sat Oct 31 08:14:44 2009  matrix is 4384355 x 4384555 (1288.1 MB) with weight 381708992 (87.06/col)
Sat Oct 31 08:14:44 2009  sparse part has weight 293829804 (67.01/col)
Sat Oct 31 08:14:54 2009  saving the first 48 matrix rows for later
Sat Oct 31 08:15:00 2009  matrix is 4384307 x 4384555 (1242.3 MB) with weight 301340925 (68.73/col)
Sat Oct 31 08:15:00 2009  sparse part has weight 281805898 (64.27/col)
Sat Oct 31 08:15:00 2009  matrix includes 64 packed rows
Sat Oct 31 08:15:00 2009  using block size 65536 for processor cache size 4096 kB
Sat Oct 31 08:15:26 2009  commencing Lanczos iteration (2 threads)
Sat Oct 31 08:15:26 2009  memory use: 1280.3 MB
Sat Oct 31 08:15:30 2009  restarting at iteration 17397 (dim = 1100025)
Sat Oct 31 08:16:20 2009  linear algebra at 25.1%, ETA 60h 0m
Sat Oct 31 16:27:58 2009  lanczos halted after 24801 iterations (dim = 1568121)
Sat Oct 31 16:27:58 2009  BLanczosTime: 29693
Sat Oct 31 16:27:58 2009  elapsed time 08:14:56
Sat Oct 31 16:31:56 2009  
Sat Oct 31 16:31:56 2009  
Sat Oct 31 16:31:56 2009  Msieve v. 1.44
Sat Oct 31 16:31:56 2009  random seeds: 9ab3ec5e 2d1353ca
Sat Oct 31 16:31:56 2009  factoring 8500001089062639536150690569307229192488740287619849351293198134441010975254531204486810574872604905552503523914514001547106448223013678573627567246032053397856841600407830052253225444944510133515360856655609759 (211 digits)
Sat Oct 31 16:31:58 2009  no P-1/P+1/ECM available, skipping
Sat Oct 31 16:31:58 2009  commencing number field sieve (211-digit input)
Sat Oct 31 16:31:58 2009  R0: -2000000000000000000000000000000000000
Sat Oct 31 16:31:58 2009  R1:  1
Sat Oct 31 16:31:58 2009  A0: -14
Sat Oct 31 16:31:58 2009  A1:  0
Sat Oct 31 16:31:58 2009  A2:  0
Sat Oct 31 16:31:58 2009  A3:  0
Sat Oct 31 16:31:58 2009  A4:  0
Sat Oct 31 16:31:58 2009  A5:  0
Sat Oct 31 16:31:58 2009  A6:  5
Sat Oct 31 16:31:58 2009  skew 1.19, size 9.452967e-11, alpha 0.913323, combined = 3.206796e-12
Sat Oct 31 16:31:58 2009  
Sat Oct 31 16:31:58 2009  commencing linear algebra
Sat Oct 31 16:32:01 2009  read 4384555 cycles
Sat Oct 31 16:32:28 2009  matrix is 4384355 x 4384555 (1288.1 MB) with weight 381708992 (87.06/col)
Sat Oct 31 16:32:28 2009  sparse part has weight 293829804 (67.01/col)
Sat Oct 31 16:32:28 2009  saving the first 48 matrix rows for later
Sat Oct 31 16:32:31 2009  matrix is 4384307 x 4384555 (1242.3 MB) with weight 301340925 (68.73/col)
Sat Oct 31 16:32:31 2009  sparse part has weight 281805898 (64.27/col)
Sat Oct 31 16:32:31 2009  matrix includes 64 packed rows
Sat Oct 31 16:32:31 2009  using block size 65536 for processor cache size 4096 kB
Sat Oct 31 16:32:55 2009  commencing Lanczos iteration (2 threads)
Sat Oct 31 16:32:55 2009  memory use: 1280.3 MB
Sat Oct 31 16:32:59 2009  restarting at iteration 24801 (dim = 1568121)
Sat Oct 31 16:33:46 2009  linear algebra at 35.8%, ETA 48h22m
Sun Nov  1 12:19:24 2009  lanczos halted after 43056 iterations (dim = 2722803)
Sun Nov  1 12:19:24 2009  BLanczosTime: 71246
Sun Nov  1 12:19:24 2009  elapsed time 19:47:28
Sun Nov  1 19:00:07 2009  
Sun Nov  1 19:00:07 2009  
Sun Nov  1 19:00:07 2009  Msieve v. 1.44
Sun Nov  1 19:00:07 2009  random seeds: 14e84e25 6a7484ee
Sun Nov  1 19:00:07 2009  factoring 8500001089062639536150690569307229192488740287619849351293198134441010975254531204486810574872604905552503523914514001547106448223013678573627567246032053397856841600407830052253225444944510133515360856655609759 (211 digits)
Sun Nov  1 19:00:10 2009  no P-1/P+1/ECM available, skipping
Sun Nov  1 19:00:10 2009  commencing number field sieve (211-digit input)
Sun Nov  1 19:00:10 2009  R0: -2000000000000000000000000000000000000
Sun Nov  1 19:00:10 2009  R1:  1
Sun Nov  1 19:00:10 2009  A0: -14
Sun Nov  1 19:00:10 2009  A1:  0
Sun Nov  1 19:00:10 2009  A2:  0
Sun Nov  1 19:00:10 2009  A3:  0
Sun Nov  1 19:00:10 2009  A4:  0
Sun Nov  1 19:00:10 2009  A5:  0
Sun Nov  1 19:00:10 2009  A6:  5
Sun Nov  1 19:00:10 2009  skew 1.19, size 9.452967e-11, alpha 0.913323, combined = 3.206796e-12
Sun Nov  1 19:00:10 2009  
Sun Nov  1 19:00:10 2009  commencing linear algebra
Sun Nov  1 19:00:12 2009  read 4384555 cycles
Sun Nov  1 19:00:58 2009  matrix is 4384355 x 4384555 (1288.1 MB) with weight 381708992 (87.06/col)
Sun Nov  1 19:00:58 2009  sparse part has weight 293829804 (67.01/col)
Sun Nov  1 19:00:58 2009  saving the first 48 matrix rows for later
Sun Nov  1 19:01:01 2009  matrix is 4384307 x 4384555 (1242.3 MB) with weight 301340925 (68.73/col)
Sun Nov  1 19:01:01 2009  sparse part has weight 281805898 (64.27/col)
Sun Nov  1 19:01:01 2009  matrix includes 64 packed rows
Sun Nov  1 19:01:01 2009  using block size 65536 for processor cache size 4096 kB
Sun Nov  1 19:01:25 2009  commencing Lanczos iteration (2 threads)
Sun Nov  1 19:01:25 2009  memory use: 1280.3 MB
Sun Nov  1 19:01:28 2009  restarting at iteration 43056 (dim = 2722803)
Sun Nov  1 19:02:13 2009  linear algebra at 62.1%, ETA 27h16m
Mon Nov  2 22:49:52 2009  lanczos halted after 69333 iterations (dim = 4384301)
Mon Nov  2 22:50:08 2009  recovered 29 nontrivial dependencies
Mon Nov  2 22:50:08 2009  BLanczosTime: 100198
Mon Nov  2 22:50:08 2009  elapsed time 27:50:01
Tue Nov  3 07:13:41 2009  
Tue Nov  3 07:13:41 2009  
Tue Nov  3 07:13:41 2009  Msieve v. 1.44
Tue Nov  3 07:13:41 2009  random seeds: 1e73deaa db0725d4
Tue Nov  3 07:13:41 2009  factoring 8500001089062639536150690569307229192488740287619849351293198134441010975254531204486810574872604905552503523914514001547106448223013678573627567246032053397856841600407830052253225444944510133515360856655609759 (211 digits)
Tue Nov  3 07:13:44 2009  no P-1/P+1/ECM available, skipping
Tue Nov  3 07:13:44 2009  commencing number field sieve (211-digit input)
Tue Nov  3 07:13:44 2009  R0: -2000000000000000000000000000000000000
Tue Nov  3 07:13:44 2009  R1:  1
Tue Nov  3 07:13:44 2009  A0: -14
Tue Nov  3 07:13:44 2009  A1:  0
Tue Nov  3 07:13:44 2009  A2:  0
Tue Nov  3 07:13:44 2009  A3:  0
Tue Nov  3 07:13:44 2009  A4:  0
Tue Nov  3 07:13:44 2009  A5:  0
Tue Nov  3 07:13:44 2009  A6:  5
Tue Nov  3 07:13:44 2009  skew 1.19, size 9.452967e-11, alpha 0.913323, combined = 3.206796e-12
Tue Nov  3 07:13:44 2009  
Tue Nov  3 07:13:44 2009  commencing square root phase
Tue Nov  3 07:13:44 2009  reading relations for dependency 1
Tue Nov  3 07:13:55 2009  read 2192196 cycles
Tue Nov  3 07:14:01 2009  cycles contain 6282928 unique relations
Tue Nov  3 07:16:39 2009  read 6282928 relations
Tue Nov  3 07:17:34 2009  multiplying 6282928 relations
Tue Nov  3 07:43:49 2009  multiply complete, coefficients have about 166.71 million bits
Tue Nov  3 07:43:51 2009  initial square root is modulo 961063
Tue Nov  3 08:32:47 2009  sqrtTime: 4743
Tue Nov  3 08:32:47 2009  prp82 factor: 7897261403265468514843287619013563217249733055445218350552148477846264432526263073
Tue Nov  3 08:32:47 2009  prp130 factor: 1076322620591986724257847200110126010314558644320810310385662610774870419875504652264090292435220197925549910589490097242891233983
Tue Nov  3 08:32:47 2009  elapsed time 01:19:06
software ソフトウェア
GGNFS (gnfs-lasieve4I14e) + msieve 1.43 SVN + msieve 1.44 SVN.
execution environment 実行環境
Sieving: gnfs-lasieve4I14e running on dozens of heterogeneous computers attached to the RSALS BOINC grid.
Post-processing: Core 2 Duo T7200, 2 GB RAM.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61198118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1080Dmitry DomanovJuly 4, 2009 14:47:22 UTC 2009 年 7 月 4 日 (土) 23 時 47 分 22 秒 (日本時間)
403e62520Dmitry DomanovJuly 11, 2009 20:21:02 UTC 2009 年 7 月 12 日 (日) 5 時 21 分 2 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:42:17 UTC 2009 年 9 月 2 日 (水) 3 時 42 分 17 秒 (日本時間)
5043e61800 / 6441Dmitry DomanovOctober 1, 2009 13:26:37 UTC 2009 年 10 月 1 日 (木) 22 時 26 分 37 秒 (日本時間)

16×10218-79

c193

name 名前RSALS + Lionel Debroux + Jeff Gilchrist
date 日付November 10, 2009 14:36:41 UTC 2009 年 11 月 10 日 (火) 23 時 36 分 41 秒 (日本時間)
composite number 合成数
9519324776528409561729990009646664138683276667349926474618191233610006802875690133653956702500176615466439936026117646551454778085624851090212971043848299225331138444034552307364883241094262769<193>
prime factors 素因数
268323355950355689735829355470693132255531404134917945907444149722706588875965691187<84>
35477063645140320608508880041657003639745603152097560923338385031351604960423622458603280891900739184876928587<110>
factorization results 素因数分解の結果
* Sieving with ggnfs-lasieve4I14e on the RSALS grid
* Relation filtering and matrix creation by Lionel Debroux
* Lanczos iteration and square root phase by Jeff Gilchrist:

Msieve v. 1.43
Sat Nov  7 06:20:12 2009
random seeds: 0a61ba43 4d857a70
factoring 9519324776528409561729990009646664138683276667349926474618191233610006802875690133653956702500176615466439936026117646551454778085624851090212971043848299225331138444034552307364883241094262769
(193 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (193-digit input)
R0: -2000000000000000000000000000000000000
R1:  1
A0: -7
A1:  0
A2:  0
A3:  0
A4:  0
A5:  0
A6:  25
skew 0.81, size 8.982341e-11, alpha 0.442034, combined = 3.092508e-12

commencing square root phase
reading relations for dependency 1
read 2344667 cycles
cycles contain 6788734 unique relations
read 6788734 relations
multiplying 6788734 relations
multiply complete, coefficients have about 194.54 million bits
initial square root is modulo 9585991
reading relations for dependency 2
read 2347128 cycles
cycles contain 6786766 unique relations
read 6786766 relations
multiplying 6786766 relations
multiply complete, coefficients have about 194.49 million bits
initial square root is modulo 9541993
reading relations for dependency 3
read 2345872 cycles
cycles contain 6789410 unique relations
read 6789410 relations
multiplying 6789410 relations
multiply complete, coefficients have about 194.56 million bits
initial square root is modulo 9600571
reading relations for dependency 4
read 2346398 cycles
cycles contain 6788602 unique relations
read 6788602 relations
multiplying 6788602 relations
multiply complete, coefficients have about 194.54 million bits
initial square root is modulo 9582763
reading relations for dependency 5
read 2346536 cycles
cycles contain 6786192 unique relations
read 6786192 relations
multiplying 6786192 relations
multiply complete, coefficients have about 194.48 million bits
initial square root is modulo 9533137
sqrtTime: 9409
prp84 factor: 268323355950355689735829355470693132255531404134917945907444149722706588875965691187
prp110 factor: 35477063645140320608508880041657003639745603152097560923338385031351604960423622458603280891900739184876928587
elapsed time 02:36:51
software ソフトウェア
ggnfs + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:47:33 UTC 2009 年 7 月 4 日 (土) 23 時 47 分 33 秒 (日本時間)
403e62525Dmitry DomanovJuly 11, 2009 20:21:09 UTC 2009 年 7 月 12 日 (日) 5 時 21 分 9 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:42:23 UTC 2009 年 9 月 2 日 (水) 3 時 42 分 23 秒 (日本時間)

16×10220-79

c186

name 名前Erik Branger
date 日付July 12, 2017 14:57:30 UTC 2017 年 7 月 12 日 (水) 23 時 57 分 30 秒 (日本時間)
composite number 合成数
704310941802372718202088027554645390633956239357289629672137188709341432039088596361783465148742247067036382583126674698370207051891346658858324040517341935530041478194319265216223417421<186>
prime factors 素因数
340418466914757940258454566643203747915168145827591<51>
2068956329501168975195682412445257187506614565284237543232908450537380258707319865415915676639766053149205408414507653539350154154533131<136>
factorization results 素因数分解の結果
Number: 17777_220
N = 704310941802372718202088027554645390633956239357289629672137188709341432039088596361783465148742247067036382583126674698370207051891346658858324040517341935530041478194319265216223417421 (186 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=340418466914757940258454566643203747915168145827591 (pp51)
r2=2068956329501168975195682412445257187506614565284237543232908450537380258707319865415915676639766053149205408414507653539350154154533131 (pp136)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 105.49 hours.
Factorization parameters were as follows:
n: 704310941802372718202088027554645390633956239357289629672137188709341432039088596361783465148742247067036382583126674698370207051891346658858324040517341935530041478194319265216223417421
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 16
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 23546099
Relations: 8789666 relations
Total pre-computation time approximately 700 CPU-days.
Pre-computation saved approximately 13 G rational relations.
Total batch smoothness checking time: 52.77 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 7376327 x 7376552
Matrix solve time: 51.75 hours.
time per square root: 0.68 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 105.49 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_Factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:47:40 UTC 2009 年 7 月 4 日 (土) 23 時 47 分 40 秒 (日本時間)
403e62530Dmitry DomanovJuly 11, 2009 20:21:48 UTC 2009 年 7 月 12 日 (日) 5 時 21 分 48 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:42:31 UTC 2009 年 9 月 2 日 (水) 3 時 42 分 31 秒 (日本時間)
5043e60--
5511e72686 / 174672685yoyo@homeJuly 10, 2010 13:31:11 UTC 2010 年 7 月 10 日 (土) 22 時 31 分 11 秒 (日本時間)
1KTakahashiMarch 23, 2014 01:17:58 UTC 2014 年 3 月 23 日 (日) 10 時 17 分 58 秒 (日本時間)

16×10221-79

c193

composite cofactor 合成数の残り
6085476790705247003577571722046306629197440098706501318731712270192779067167796770813668386620188701406440511970060988837373832623176490005480333071884302565442911451338300035021455337942640971<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61490118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1372Dmitry DomanovJuly 4, 2009 14:47:57 UTC 2009 年 7 月 4 日 (土) 23 時 47 分 57 秒 (日本時間)
403e62630Dmitry DomanovJuly 11, 2009 20:21:56 UTC 2009 年 7 月 12 日 (日) 5 時 21 分 56 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:42:37 UTC 2009 年 9 月 2 日 (水) 3 時 42 分 37 秒 (日本時間)
5043e60--
5511e72685 / 174662680yoyo@homeJuly 10, 2010 16:11:04 UTC 2010 年 7 月 11 日 (日) 1 時 11 分 4 秒 (日本時間)
5KTakahashiMarch 23, 2014 08:16:53 UTC 2014 年 3 月 23 日 (日) 17 時 16 分 53 秒 (日本時間)

16×10222-79

c208

name 名前Dmitry Domanov
date 日付July 7, 2009 00:43:45 UTC 2009 年 7 月 7 日 (火) 9 時 43 分 45 秒 (日本時間)
composite number 合成数
7469183574902272589883224867402192140778010471880265615381663020804090948259885516233736992106438211320510005449065963054057377376720051762979875846374106349702205223089377950783494028406078501308408284007983<208>
prime factors 素因数
54361144210102643223435316458471837889181<41>
composite cofactor 合成数の残り
137399307601663329338762819303363451250324761459293058906011655115908353350470871508735481361435253702571547696510840260773732323164290945411600641942028811070410077243<168>
factorization results 素因数分解の結果
C208=P41*C168
C208=54361144210102643223435316458471837889181<41>*137399307601663329338762819303363451250324761459293058906011655115908353350470871508735481361435253702571547696510840260773732323164290945411600641942028811070410077243<168>
software ソフトウェア
ECMNET

c168

name 名前Dmitry Domanov
date 日付July 7, 2009 17:17:18 UTC 2009 年 7 月 8 日 (水) 2 時 17 分 18 秒 (日本時間)
composite number 合成数
137399307601663329338762819303363451250324761459293058906011655115908353350470871508735481361435253702571547696510840260773732323164290945411600641942028811070410077243<168>
prime factors 素因数
2235567584419681037453681562092795977<37>
61460592182154974496730933652470829014663740816329411758327108206469005324682537072299516656101839833858534462709909285629495029859<131>
factorization results 素因数分解の結果
C168=P37*P131
C168=2235567584419681037453681562092795977<37>*61460592182154974496730933652470829014663740816329411758327108206469005324682537072299516656101839833858534462709909285629495029859<131>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:49:06 UTC 2009 年 7 月 4 日 (土) 23 時 49 分 6 秒 (日本時間)

16×10223-79

c160

composite cofactor 合成数の残り
9930700500906866026178237291189484233235211570630830163173215005458405507561840829675901715458655309826969809371740476434002800262698128139911069712814371471679<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:48:56 UTC 2009 年 7 月 4 日 (土) 23 時 48 分 56 秒 (日本時間)
403e62525Dmitry DomanovJuly 11, 2009 20:22:04 UTC 2009 年 7 月 12 日 (日) 5 時 22 分 4 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:42:43 UTC 2009 年 9 月 2 日 (水) 3 時 42 分 43 秒 (日本時間)
5043e61300600Dmitry DomanovSeptember 18, 2009 20:41:00 UTC 2009 年 9 月 19 日 (土) 5 時 41 分 0 秒 (日本時間)
700Dmitry DomanovOctober 25, 2009 09:31:13 UTC 2009 年 10 月 25 日 (日) 18 時 31 分 13 秒 (日本時間)
5511e72222 / 170032145yoyo@homeJuly 10, 2010 19:11:47 UTC 2010 年 7 月 11 日 (日) 4 時 11 分 47 秒 (日本時間)
77KTakahashiSeptember 3, 2014 10:09:08 UTC 2014 年 9 月 3 日 (水) 19 時 9 分 8 秒 (日本時間)

16×10225-79

c134

name 名前Jo Yeong Uk
date 日付July 3, 2009 14:27:40 UTC 2009 年 7 月 3 日 (金) 23 時 27 分 40 秒 (日本時間)
composite number 合成数
77068511565977660174709421461132555031362999146292468101240450879997543709927873527529777203465840908885241587100820037642140078980217<134>
prime factors 素因数
41233351031948151692868641186159<32>
1869081935791828972707833126568044399578183366750010335624802395418611310169927142305210058932642675863<103>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 77068511565977660174709421461132555031362999146292468101240450879997543709927873527529777203465840908885241587100820037642140078980217 (134 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5175414927
Step 1 took 4227ms
Step 2 took 5835ms
********** Factor found in step 2: 41233351031948151692868641186159
Found probable prime factor of 32 digits: 41233351031948151692868641186159
Probable prime cofactor 1869081935791828972707833126568044399578183366750010335624802395418611310169927142305210058932642675863 has 103 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)

16×10226-79

c207

name 名前Dmitry Domanov
date 日付July 3, 2009 10:57:08 UTC 2009 年 7 月 3 日 (金) 19 時 57 分 8 秒 (日本時間)
composite number 合成数
165366927868958710517405139442080170372070247518654054695901789938206400111678123114200343893547623066958912870299897258434902317827670729707130421622598615968898610439921133603460843217673241136863124998783<207>
prime factors 素因数
12500755410149652578208142530844687751<38>
13228554790752363275540751728437998199424055178673431699716124390155931820330522849342635457892494755615875231329856621245128124011040693202135088807739033447001924553033<170>
factorization results 素因数分解の結果
C207=P38*P170
C207=12500755410149652578208142530844687751<38>*13228554790752363275540751728437998199424055178673431699716124390155931820330522849342635457892494755615875231329856621245128124011040693202135088807739033447001924553033<170>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)

16×10227-79

c205

name 名前RSALS + Jeff Gilchrist
date 日付December 3, 2009 20:48:52 UTC 2009 年 12 月 4 日 (金) 5 時 48 分 52 秒 (日本時間)
composite number 合成数
8500620332853352373100619494859864036219623065828944278551768110817378446210927884562453439711314210424131541144585190430418520177440149893041637577056204111557942429485079430082059275669583801816757447529<205>
prime factors 素因数
43313501227448011000083463763352610564812589301818962273432249121716141326899324578414523<89>
196257981736799913361304440989775990019643124662452497442014310394640589026238986779888915065494733438722007484724523<117>
factorization results 素因数分解の結果
Thu Nov 26 22:27:46 2009  
Thu Nov 26 22:27:46 2009  
Thu Nov 26 22:27:46 2009  Msieve v. 1.43
Thu Nov 26 22:27:46 2009  random seeds: fb9cbe1d ae67a796
Thu Nov 26 22:27:46 2009  factoring 8500620332853352373100619494859864036219623065828944278551768110817378446210927884562453439711314210424131541144585190430418520177440149893041637577056204111557942429485079430082059275669583801816757447529 (205 digits)
Thu Nov 26 22:27:49 2009  no P-1/P+1/ECM available, skipping
Thu Nov 26 22:27:49 2009  commencing number field sieve (205-digit input)
Thu Nov 26 22:27:49 2009  R0: -100000000000000000000000000000000000000
Thu Nov 26 22:27:49 2009  R1:  1
Thu Nov 26 22:27:49 2009  A0: -35
Thu Nov 26 22:27:49 2009  A1:  0
Thu Nov 26 22:27:49 2009  A2:  0
Thu Nov 26 22:27:49 2009  A3:  0
Thu Nov 26 22:27:49 2009  A4:  0
Thu Nov 26 22:27:49 2009  A5:  0
Thu Nov 26 22:27:49 2009  A6:  8
Thu Nov 26 22:27:49 2009  skew 1.28, size 3.592136e-11, alpha -0.268121, combined = 1.602160e-12
Thu Nov 26 22:27:49 2009  
Thu Nov 26 22:27:49 2009  commencing relation filtering
Thu Nov 26 22:27:49 2009  estimated available RAM is 32159.4 MB
Thu Nov 26 22:27:49 2009  commencing duplicate removal, pass 1
Thu Nov 26 22:28:01 2009  error -9 reading relation 1291015
Thu Nov 26 22:28:01 2009  error -9 reading relation 1342830
Thu Nov 26 22:28:02 2009  error -9 reading relation 1370248
Thu Nov 26 22:28:13 2009  error -1 reading relation 2599430
Thu Nov 26 22:28:13 2009  error -15 reading relation 2626748
Thu Nov 26 22:28:16 2009  error -9 reading relation 2946812
Thu Nov 26 22:28:18 2009  error -1 reading relation 3185545
Thu Nov 26 22:28:19 2009  error -15 reading relation 3219303
Thu Nov 26 22:29:16 2009  error -9 reading relation 9486483
Thu Nov 26 22:29:16 2009  error -9 reading relation 9514482
Thu Nov 26 22:29:17 2009  error -9 reading relation 9556054
Thu Nov 26 22:29:24 2009  error -15 reading relation 10391075
Thu Nov 26 22:29:24 2009  error -1 reading relation 10399383
Thu Nov 26 22:29:27 2009  error -9 reading relation 10711737
Thu Nov 26 22:29:42 2009  error -9 reading relation 12335275
Thu Nov 26 22:29:59 2009  error -15 reading relation 14104824
Thu Nov 26 22:30:04 2009  error -15 reading relation 14711253
Thu Nov 26 22:30:56 2009  error -9 reading relation 20330305
Thu Nov 26 22:30:58 2009  error -15 reading relation 20604086
Thu Nov 26 22:31:59 2009  error -15 reading relation 27248323
Thu Nov 26 22:32:04 2009  error -1 reading relation 27748892
Thu Nov 26 22:32:11 2009  error -9 reading relation 28487866
Thu Nov 26 22:32:16 2009  error -9 reading relation 29006216
Thu Nov 26 22:36:02 2009  error -9 reading relation 51061370
Thu Nov 26 22:36:03 2009  error -15 reading relation 51120025
Thu Nov 26 22:36:46 2009  error -9 reading relation 55851497
Thu Nov 26 22:38:02 2009  error -11 reading relation 64156490
Thu Nov 26 22:38:02 2009  error -15 reading relation 64158279
Thu Nov 26 22:38:07 2009  error -11 reading relation 64707825
Thu Nov 26 22:38:07 2009  error -1 reading relation 64751839
Thu Nov 26 22:38:07 2009  error -15 reading relation 64756725
Thu Nov 26 22:38:12 2009  error -11 reading relation 65315616
Thu Nov 26 22:38:16 2009  error -15 reading relation 65761982
Thu Nov 26 22:38:16 2009  error -11 reading relation 65765885
Thu Nov 26 22:38:27 2009  error -11 reading relation 66855238
Thu Nov 26 22:38:40 2009  error -15 reading relation 68327551
Thu Nov 26 22:39:21 2009  error -15 reading relation 72782069
Thu Nov 26 22:39:23 2009  error -15 reading relation 72922516
Thu Nov 26 22:39:34 2009  error -9 reading relation 74169831
Thu Nov 26 22:39:47 2009  error -15 reading relation 75577775
Thu Nov 26 22:39:58 2009  error -15 reading relation 76730474
Thu Nov 26 22:40:06 2009  error -15 reading relation 77615673
Thu Nov 26 22:40:18 2009  error -11 reading relation 78886058
Thu Nov 26 22:40:29 2009  error -15 reading relation 80065667
Thu Nov 26 22:40:31 2009  error -15 reading relation 80257632
Thu Nov 26 22:40:31 2009  error -15 reading relation 80289278
Thu Nov 26 22:40:35 2009  error -5 reading relation 80739459
Thu Nov 26 22:40:36 2009  error -15 reading relation 80813499
Thu Nov 26 22:40:38 2009  error -9 reading relation 81009455
Thu Nov 26 22:40:38 2009  error -11 reading relation 81009466
Thu Nov 26 22:40:53 2009  error -15 reading relation 82668862
Thu Nov 26 22:40:53 2009  error -9 reading relation 82683063
Thu Nov 26 22:40:58 2009  error -9 reading relation 83225110
Thu Nov 26 22:41:02 2009  error -15 reading relation 83629496
Thu Nov 26 22:41:06 2009  error -9 reading relation 84004849
Thu Nov 26 22:41:06 2009  error -15 reading relation 84019522
Thu Nov 26 22:41:13 2009  error -9 reading relation 84820494
Thu Nov 26 22:41:27 2009  error -9 reading relation 86279356
Thu Nov 26 22:41:27 2009  error -9 reading relation 86286930
Thu Nov 26 22:41:45 2009  error -9 reading relation 88229805
Thu Nov 26 22:41:45 2009  error -5 reading relation 88237485
Thu Nov 26 22:42:04 2009  error -9 reading relation 90292083
Thu Nov 26 22:42:53 2009  error -15 reading relation 95546114
Thu Nov 26 22:42:54 2009  error -11 reading relation 95663440
Thu Nov 26 22:43:11 2009  error -15 reading relation 97555771
Thu Nov 26 22:43:18 2009  found 18531139 hash collisions in 98264717 relations
Thu Nov 26 22:43:41 2009  added 1 free relations
Thu Nov 26 22:43:41 2009  commencing duplicate removal, pass 2
Thu Nov 26 22:44:56 2009  found 18305751 duplicates and 79958967 unique relations
Thu Nov 26 22:44:56 2009  memory use: 660.8 MB
Thu Nov 26 22:44:56 2009  reading ideals above 720000
Thu Nov 26 22:44:57 2009  commencing singleton removal, initial pass
Thu Nov 26 23:03:20 2009  memory use: 2756.0 MB
Thu Nov 26 23:03:21 2009  reading all ideals from disk
Thu Nov 26 23:03:27 2009  memory use: 2944.2 MB
Thu Nov 26 23:03:48 2009  keeping 81907235 ideals with weight <= 200, target excess is 420496
Thu Nov 26 23:04:11 2009  commencing in-memory singleton removal
Thu Nov 26 23:04:29 2009  begin with 79958967 relations and 81907235 unique ideals
Thu Nov 26 23:07:40 2009  reduce to 39200401 relations and 35596299 ideals in 19 passes
Thu Nov 26 23:07:40 2009  max relations containing the same ideal: 134
Thu Nov 26 23:08:24 2009  removing 3629644 relations and 3229644 ideals in 400000 cliques
Thu Nov 26 23:08:28 2009  commencing in-memory singleton removal
Thu Nov 26 23:08:36 2009  begin with 35570757 relations and 35596299 unique ideals
Thu Nov 26 23:09:49 2009  reduce to 35317319 relations and 32109565 ideals in 9 passes
Thu Nov 26 23:09:49 2009  max relations containing the same ideal: 128
Thu Nov 26 23:10:28 2009  removing 2673168 relations and 2273168 ideals in 400000 cliques
Thu Nov 26 23:10:31 2009  commencing in-memory singleton removal
Thu Nov 26 23:10:38 2009  begin with 32644151 relations and 32109565 unique ideals
Thu Nov 26 23:11:45 2009  reduce to 32491803 relations and 29682207 ideals in 9 passes
Thu Nov 26 23:11:45 2009  max relations containing the same ideal: 118
Thu Nov 26 23:12:21 2009  removing 2366440 relations and 1966440 ideals in 400000 cliques
Thu Nov 26 23:12:24 2009  commencing in-memory singleton removal
Thu Nov 26 23:12:30 2009  begin with 30125363 relations and 29682207 unique ideals
Thu Nov 26 23:13:25 2009  reduce to 29993353 relations and 27582220 ideals in 8 passes
Thu Nov 26 23:13:25 2009  max relations containing the same ideal: 110
Thu Nov 26 23:13:58 2009  removing 2206498 relations and 1806498 ideals in 400000 cliques
Thu Nov 26 23:14:01 2009  commencing in-memory singleton removal
Thu Nov 26 23:14:07 2009  begin with 27786855 relations and 27582220 unique ideals
Thu Nov 26 23:15:04 2009  reduce to 27665060 relations and 25652382 ideals in 9 passes
Thu Nov 26 23:15:04 2009  max relations containing the same ideal: 102
Thu Nov 26 23:15:35 2009  removing 2096725 relations and 1696725 ideals in 400000 cliques
Thu Nov 26 23:15:37 2009  commencing in-memory singleton removal
Thu Nov 26 23:15:43 2009  begin with 25568335 relations and 25652382 unique ideals
Thu Nov 26 23:16:29 2009  reduce to 25446757 relations and 23832524 ideals in 8 passes
Thu Nov 26 23:16:29 2009  max relations containing the same ideal: 97
Thu Nov 26 23:16:57 2009  removing 2022002 relations and 1622002 ideals in 400000 cliques
Thu Nov 26 23:17:00 2009  commencing in-memory singleton removal
Thu Nov 26 23:17:05 2009  begin with 23424755 relations and 23832524 unique ideals
Thu Nov 26 23:17:47 2009  reduce to 23300592 relations and 22084668 ideals in 8 passes
Thu Nov 26 23:17:47 2009  max relations containing the same ideal: 89
Thu Nov 26 23:18:13 2009  removing 1974033 relations and 1574033 ideals in 400000 cliques
Thu Nov 26 23:18:15 2009  commencing in-memory singleton removal
Thu Nov 26 23:18:20 2009  begin with 21326559 relations and 22084668 unique ideals
Thu Nov 26 23:18:58 2009  reduce to 21196656 relations and 20378855 ideals in 8 passes
Thu Nov 26 23:18:58 2009  max relations containing the same ideal: 83
Thu Nov 26 23:19:22 2009  removing 1656990 relations and 1326965 ideals in 330025 cliques
Thu Nov 26 23:19:24 2009  commencing in-memory singleton removal
Thu Nov 26 23:19:28 2009  begin with 19539666 relations and 20378855 unique ideals
Thu Nov 26 23:19:59 2009  reduce to 19437929 relations and 18948678 ideals in 7 passes
Thu Nov 26 23:19:59 2009  max relations containing the same ideal: 78
Thu Nov 26 23:20:28 2009  relations with 0 large ideals: 14445
Thu Nov 26 23:20:28 2009  relations with 1 large ideals: 6220
Thu Nov 26 23:20:28 2009  relations with 2 large ideals: 86100
Thu Nov 26 23:20:28 2009  relations with 3 large ideals: 559802
Thu Nov 26 23:20:28 2009  relations with 4 large ideals: 1973251
Thu Nov 26 23:20:28 2009  relations with 5 large ideals: 4114171
Thu Nov 26 23:20:28 2009  relations with 6 large ideals: 5298159
Thu Nov 26 23:20:28 2009  relations with 7+ large ideals: 7385781
Thu Nov 26 23:20:28 2009  commencing 2-way merge
Thu Nov 26 23:20:57 2009  reduce to 12106757 relation sets and 11617506 unique ideals
Thu Nov 26 23:20:57 2009  commencing full merge
Thu Nov 26 23:26:40 2009  memory use: 1424.6 MB
Thu Nov 26 23:26:43 2009  found 6358076 cycles, need 6291706
Thu Nov 26 23:26:47 2009  weight of 6291706 cycles is about 440672317 (70.04/cycle)
Thu Nov 26 23:26:47 2009  distribution of cycle lengths:
Thu Nov 26 23:26:47 2009  1 relations: 826579
Thu Nov 26 23:26:47 2009  2 relations: 770877
Thu Nov 26 23:26:47 2009  3 relations: 748633
Thu Nov 26 23:26:47 2009  4 relations: 676227
Thu Nov 26 23:26:47 2009  5 relations: 612398
Thu Nov 26 23:26:47 2009  6 relations: 533265
Thu Nov 26 23:26:47 2009  7 relations: 463017
Thu Nov 26 23:26:47 2009  8 relations: 390741
Thu Nov 26 23:26:47 2009  9 relations: 318530
Thu Nov 26 23:26:47 2009  10+ relations: 951439
Thu Nov 26 23:26:47 2009  heaviest cycle: 21 relations
Thu Nov 26 23:26:49 2009  commencing cycle optimization
Thu Nov 26 23:27:06 2009  start with 34372455 relations
Thu Nov 26 23:28:31 2009  pruned 753746 relations
Thu Nov 26 23:28:32 2009  memory use: 1143.5 MB
Thu Nov 26 23:28:32 2009  distribution of cycle lengths:
Thu Nov 26 23:28:32 2009  1 relations: 826579
Thu Nov 26 23:28:32 2009  2 relations: 785791
Thu Nov 26 23:28:32 2009  3 relations: 771707
Thu Nov 26 23:28:32 2009  4 relations: 690566
Thu Nov 26 23:28:32 2009  5 relations: 625482
Thu Nov 26 23:28:32 2009  6 relations: 539725
Thu Nov 26 23:28:32 2009  7 relations: 467763
Thu Nov 26 23:28:32 2009  8 relations: 390486
Thu Nov 26 23:28:32 2009  9 relations: 314993
Thu Nov 26 23:28:32 2009  10+ relations: 878614
Thu Nov 26 23:28:32 2009  heaviest cycle: 21 relations
Thu Nov 26 23:28:48 2009  RelProcTime: 3659
Thu Nov 26 23:28:52 2009  elapsed time 01:01:06
Fri Nov 27 06:31:15 2009  
Fri Nov 27 06:31:15 2009  
Fri Nov 27 06:31:15 2009  Msieve v. 1.43
Fri Nov 27 06:31:15 2009  random seeds: a6634281 eaabb899
Fri Nov 27 06:31:15 2009  factoring 8500620332853352373100619494859864036219623065828944278551768110817378446210927884562453439711314210424131541144585190430418520177440149893041637577056204111557942429485079430082059275669583801816757447529 (205 digits)
Fri Nov 27 06:31:18 2009  no P-1/P+1/ECM available, skipping
Fri Nov 27 06:31:18 2009  commencing number field sieve (205-digit input)
Fri Nov 27 06:31:18 2009  R0: -100000000000000000000000000000000000000
Fri Nov 27 06:31:18 2009  R1:  1
Fri Nov 27 06:31:18 2009  A0: -35
Fri Nov 27 06:31:18 2009  A1:  0
Fri Nov 27 06:31:18 2009  A2:  0
Fri Nov 27 06:31:18 2009  A3:  0
Fri Nov 27 06:31:18 2009  A4:  0
Fri Nov 27 06:31:18 2009  A5:  0
Fri Nov 27 06:31:18 2009  A6:  8
Fri Nov 27 06:31:18 2009  skew 1.28, size 3.592136e-11, alpha -0.268121, combined = 1.602160e-12
Fri Nov 27 06:31:18 2009  
Fri Nov 27 06:31:18 2009  commencing linear algebra
Fri Nov 27 06:31:19 2009  read 6291706 cycles
Fri Nov 27 06:31:36 2009  cycles contain 19079877 unique relations
Fri Nov 27 06:34:56 2009  read 19079877 relations
Fri Nov 27 06:35:41 2009  using 20 quadratic characters above 1073739740
Fri Nov 27 06:37:59 2009  building initial matrix
Fri Nov 27 06:44:18 2009  memory use: 2469.6 MB
Fri Nov 27 06:44:25 2009  read 6291706 cycles
Fri Nov 27 06:44:33 2009  matrix is 6291525 x 6291706 (1892.8 MB) with weight 559610983 (88.94/col)
Fri Nov 27 06:44:33 2009  sparse part has weight 426984476 (67.86/col)
Fri Nov 27 06:47:09 2009  filtering completed in 2 passes
Fri Nov 27 06:47:11 2009  matrix is 6285857 x 6286038 (1892.4 MB) with weight 559440693 (89.00/col)
Fri Nov 27 06:47:11 2009  sparse part has weight 426933495 (67.92/col)
Fri Nov 27 06:47:59 2009  read 6286038 cycles
Fri Nov 27 06:48:07 2009  matrix is 6285857 x 6286038 (1892.4 MB) with weight 559440693 (89.00/col)
Fri Nov 27 06:48:07 2009  sparse part has weight 426933495 (67.92/col)
Fri Nov 27 06:48:07 2009  saving the first 48 matrix rows for later
Fri Nov 27 06:48:13 2009  matrix is 6285809 x 6286038 (1807.3 MB) with weight 443908792 (70.62/col)
Fri Nov 27 06:48:13 2009  sparse part has weight 410917321 (65.37/col)
Fri Nov 27 06:48:13 2009  matrix includes 64 packed rows
Fri Nov 27 06:48:13 2009  using block size 65536 for processor cache size 6144 kB
Fri Nov 27 06:48:50 2009  commencing Lanczos iteration (4 threads)
Fri Nov 27 06:48:50 2009  memory use: 1958.3 MB
Fri Nov 27 06:49:32 2009  linear algebra at 0.0%, ETA 90h 4m
Tue Dec  1 00:58:29 2009  lanczos halted after 99407 iterations (dim = 6285808)
Tue Dec  1 00:58:46 2009  recovered 35 nontrivial dependencies
Tue Dec  1 00:58:47 2009  BLanczosTime: 325649
Tue Dec  1 00:58:47 2009  elapsed time 90:27:32
Tue Dec  1 05:38:10 2009  
Tue Dec  1 05:38:10 2009  
Tue Dec  1 05:38:10 2009  Msieve v. 1.43
Tue Dec  1 05:38:10 2009  random seeds: 505cf7ae 6f367940
Tue Dec  1 05:38:10 2009  factoring 8500620332853352373100619494859864036219623065828944278551768110817378446210927884562453439711314210424131541144585190430418520177440149893041637577056204111557942429485079430082059275669583801816757447529 (205 digits)
Tue Dec  1 05:38:13 2009  no P-1/P+1/ECM available, skipping
Tue Dec  1 05:38:13 2009  commencing number field sieve (205-digit input)
Tue Dec  1 05:38:13 2009  R0: -100000000000000000000000000000000000000
Tue Dec  1 05:38:13 2009  R1:  1
Tue Dec  1 05:38:13 2009  A0: -35
Tue Dec  1 05:38:13 2009  A1:  0
Tue Dec  1 05:38:13 2009  A2:  0
Tue Dec  1 05:38:13 2009  A3:  0
Tue Dec  1 05:38:13 2009  A4:  0
Tue Dec  1 05:38:13 2009  A5:  0
Tue Dec  1 05:38:13 2009  A6:  8
Tue Dec  1 05:38:13 2009  skew 1.28, size 3.592136e-11, alpha -0.268121, combined = 1.602160e-12
Tue Dec  1 05:38:13 2009  
Tue Dec  1 05:38:13 2009  commencing square root phase
Tue Dec  1 05:38:13 2009  reading relations for dependency 1
Tue Dec  1 05:38:14 2009  read 3143635 cycles
Tue Dec  1 05:38:23 2009  cycles contain 9541566 unique relations
Tue Dec  1 05:40:18 2009  read 9541566 relations
Tue Dec  1 05:41:36 2009  multiplying 9541566 relations
Tue Dec  1 05:55:44 2009  multiply complete, coefficients have about 259.73 million bits
Tue Dec  1 05:55:47 2009  initial square root is modulo 2093935903
Tue Dec  1 06:21:29 2009  reading relations for dependency 2
Tue Dec  1 06:21:31 2009  read 3142476 cycles
Tue Dec  1 06:21:39 2009  cycles contain 9540940 unique relations
Tue Dec  1 06:23:34 2009  read 9540940 relations
Tue Dec  1 06:24:53 2009  multiplying 9540940 relations
Tue Dec  1 06:39:00 2009  multiply complete, coefficients have about 259.72 million bits
Tue Dec  1 06:39:03 2009  initial square root is modulo 2091413101
Tue Dec  1 07:04:46 2009  sqrtTime: 5193
Tue Dec  1 07:04:46 2009  prp89 factor: 43313501227448011000083463763352610564812589301818962273432249121716141326899324578414523
Tue Dec  1 07:04:46 2009  prp117 factor: 196257981736799913361304440989775990019643124662452497442014310394640589026238986779888915065494733438722007484724523
Tue Dec  1 07:04:46 2009  elapsed time 01:26:36
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:48:46 UTC 2009 年 7 月 4 日 (土) 23 時 48 分 46 秒 (日本時間)
403e62570Dmitry DomanovJuly 11, 2009 20:22:39 UTC 2009 年 7 月 12 日 (日) 5 時 22 分 39 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:42:49 UTC 2009 年 9 月 2 日 (水) 3 時 42 分 49 秒 (日本時間)

16×10228-79

c217

name 名前RSALS + Lionel Debroux + Jeff Gilchrist
date 日付March 10, 2010 12:54:50 UTC 2010 年 3 月 10 日 (水) 21 時 54 分 50 秒 (日本時間)
composite number 合成数
4975034666209873565441882737027213303911130167863740458175940026420234767120978148057720884698958692213521332195548015775496113009394851549251261933724306651360828575881510525417782278930155897335159296460287429417581<217>
prime factors 素因数
275841557196554659897554169263263927106145002500207627152941393339306364373098802794288867045492713984331<105>
18035841722952734165507884895674386602961587644406099091437599331567822531281291789159712935538438667459067635751<113>
factorization results 素因数分解の結果
<sieving by the RSALS grid>

<filtering by Lionel Debroux>
Wed Feb 24 14:53:30 2010  
Wed Feb 24 14:53:30 2010  
Wed Feb 24 14:53:30 2010  Msieve v. 1.45
Wed Feb 24 14:53:30 2010  random seeds: 46392a55 b5682a86
Wed Feb 24 14:53:30 2010  factoring 4975034666209873565441882737027213303911130167863740458175940026420234767120978148057720884698958692213521332195548015775496113009394851549251261933724306651360828575881510525417782278930155897335159296460287429417581 (217 digits)
Wed Feb 24 14:53:33 2010  searching for 15-digit factors
Wed Feb 24 14:53:33 2010  commencing number field sieve (217-digit input)
Wed Feb 24 14:53:34 2010  R0: -100000000000000000000000000000000000000
Wed Feb 24 14:53:34 2010  R1:  1
Wed Feb 24 14:53:34 2010  A0: -7
Wed Feb 24 14:53:34 2010  A1:  0
Wed Feb 24 14:53:34 2010  A2:  0
Wed Feb 24 14:53:34 2010  A3:  0
Wed Feb 24 14:53:34 2010  A4:  0
Wed Feb 24 14:53:34 2010  A5:  0
Wed Feb 24 14:53:34 2010  A6:  16
Wed Feb 24 14:53:34 2010  skew 0.87, size 2.687292e-11, alpha 1.013889, combined = 1.307278e-12
Wed Feb 24 14:53:34 2010  
Wed Feb 24 14:53:34 2010  commencing relation filtering
Wed Feb 24 14:53:34 2010  estimated available RAM is 768.0 MB
Wed Feb 24 14:53:34 2010  commencing duplicate removal, pass 1
[snip errors reading relations]
Wed Feb 24 15:10:44 2010  found 22321539 hash collisions in 114585317 relations
Wed Feb 24 15:11:12 2010  added 1218828 free relations
Wed Feb 24 15:11:12 2010  commencing duplicate removal, pass 2
Wed Feb 24 15:17:38 2010  found 22028251 duplicates and 93775894 unique relations
Wed Feb 24 15:17:38 2010  memory use: 660.8 MB
Wed Feb 24 15:17:39 2010  reading ideals above 84869120
Wed Feb 24 15:17:39 2010  commencing singleton removal, initial pass
Wed Feb 24 15:35:14 2010  memory use: 1506.0 MB
Wed Feb 24 15:35:15 2010  removing singletons from LP file
Wed Feb 24 15:35:15 2010  start with 93775894 relations and 77504414 ideals
Wed Feb 24 15:36:27 2010  pass 1: found 27420687 singletons
Wed Feb 24 15:37:03 2010  pass 2: found 6207056 singletons
Wed Feb 24 15:37:39 2010  pass 3: found 1542684 singletons
Wed Feb 24 15:38:15 2010  pass 4: found 383616 singletons
Wed Feb 24 15:39:20 2010  pruned dataset has 58221851 relations and 38203077 large ideals
Wed Feb 24 15:39:21 2010  reading all ideals from disk
Wed Feb 24 15:39:47 2010  memory use: 905.3 MB
Wed Feb 24 15:39:55 2010  commencing in-memory singleton removal
Wed Feb 24 15:40:03 2010  begin with 58221851 relations and 38203077 unique ideals
Wed Feb 24 15:41:11 2010  reduce to 58094616 relations and 38075774 ideals in 9 passes
Wed Feb 24 15:41:11 2010  max relations containing the same ideal: 34
Wed Feb 24 15:41:21 2010  reading ideals above 720000
Wed Feb 24 15:41:22 2010  commencing singleton removal, initial pass
Wed Feb 24 15:57:43 2010  memory use: 1378.0 MB
Wed Feb 24 15:57:43 2010  reading large ideals from disk
Wed Feb 24 15:58:52 2010  keeping 42674194 ideals with weight <= 20, target excess is 5269855
Wed Feb 24 16:00:15 2010  memory use: 1368.8 MB
Wed Feb 24 16:00:15 2010  commencing in-memory singleton removal
Wed Feb 24 16:00:25 2010  begin with 58094617 relations and 42674194 unique ideals
Wed Feb 24 16:02:10 2010  reduce to 58068859 relations and 42648431 ideals in 11 passes
Wed Feb 24 16:02:10 2010  max relations containing the same ideal: 20
Wed Feb 24 16:02:57 2010  removing 2959135 relations and 2559135 ideals in 400000 cliques
Wed Feb 24 16:03:00 2010  commencing in-memory singleton removal
Wed Feb 24 16:03:10 2010  begin with 55109724 relations and 42648431 unique ideals
Wed Feb 24 16:04:14 2010  reduce to 55020150 relations and 39998986 ideals in 7 passes
Wed Feb 24 16:04:14 2010  max relations containing the same ideal: 20
Wed Feb 24 16:04:57 2010  removing 2218109 relations and 1818109 ideals in 400000 cliques
Wed Feb 24 16:04:59 2010  commencing in-memory singleton removal
Wed Feb 24 16:05:08 2010  begin with 52802041 relations and 39998986 unique ideals
Wed Feb 24 16:06:09 2010  reduce to 52746871 relations and 38125280 ideals in 7 passes
Wed Feb 24 16:06:09 2010  max relations containing the same ideal: 20
Wed Feb 24 16:06:52 2010  removing 1979038 relations and 1579038 ideals in 400000 cliques
Wed Feb 24 16:06:53 2010  commencing in-memory singleton removal
Wed Feb 24 16:07:02 2010  begin with 50767833 relations and 38125280 unique ideals
Wed Feb 24 16:07:51 2010  reduce to 50721897 relations and 36499950 ideals in 6 passes
Wed Feb 24 16:07:51 2010  max relations containing the same ideal: 20
Wed Feb 24 16:08:29 2010  removing 1841388 relations and 1441388 ideals in 400000 cliques
Wed Feb 24 16:08:31 2010  commencing in-memory singleton removal
Wed Feb 24 16:08:39 2010  begin with 48880509 relations and 36499950 unique ideals
Wed Feb 24 16:09:34 2010  reduce to 48837234 relations and 35014981 ideals in 7 passes
Wed Feb 24 16:09:34 2010  max relations containing the same ideal: 20
Wed Feb 24 16:10:12 2010  removing 1744998 relations and 1344998 ideals in 400000 cliques
Wed Feb 24 16:10:14 2010  commencing in-memory singleton removal
Wed Feb 24 16:10:21 2010  begin with 47092236 relations and 35014981 unique ideals
Wed Feb 24 16:10:59 2010  reduce to 47052417 relations and 33629900 ideals in 5 passes
Wed Feb 24 16:10:59 2010  max relations containing the same ideal: 20
Wed Feb 24 16:11:35 2010  removing 1681747 relations and 1281747 ideals in 400000 cliques
Wed Feb 24 16:11:37 2010  commencing in-memory singleton removal
Wed Feb 24 16:11:45 2010  begin with 45370670 relations and 33629900 unique ideals
Wed Feb 24 16:12:27 2010  reduce to 45332532 relations and 32309739 ideals in 6 passes
Wed Feb 24 16:12:27 2010  max relations containing the same ideal: 20
Wed Feb 24 16:13:02 2010  removing 1622119 relations and 1222119 ideals in 400000 cliques
Wed Feb 24 16:13:04 2010  commencing in-memory singleton removal
Wed Feb 24 16:13:12 2010  begin with 43710413 relations and 32309739 unique ideals
Wed Feb 24 16:13:53 2010  reduce to 43673161 relations and 31050101 ideals in 6 passes
Wed Feb 24 16:13:53 2010  max relations containing the same ideal: 20
Wed Feb 24 16:14:26 2010  removing 1578472 relations and 1178472 ideals in 400000 cliques
Wed Feb 24 16:14:28 2010  commencing in-memory singleton removal
Wed Feb 24 16:14:35 2010  begin with 42094689 relations and 31050101 unique ideals
Wed Feb 24 16:15:15 2010  reduce to 42057599 relations and 29834232 ideals in 6 passes
Wed Feb 24 16:15:15 2010  max relations containing the same ideal: 20
Wed Feb 24 16:15:48 2010  removing 1549954 relations and 1149954 ideals in 400000 cliques
Wed Feb 24 16:15:49 2010  commencing in-memory singleton removal
Wed Feb 24 16:15:56 2010  begin with 40507645 relations and 29834232 unique ideals
Wed Feb 24 16:16:34 2010  reduce to 40472033 relations and 28648350 ideals in 6 passes
Wed Feb 24 16:16:34 2010  max relations containing the same ideal: 20
Wed Feb 24 16:17:05 2010  removing 1515898 relations and 1115898 ideals in 400000 cliques
Wed Feb 24 16:17:06 2010  commencing in-memory singleton removal
Wed Feb 24 16:17:12 2010  begin with 38956135 relations and 28648350 unique ideals
Wed Feb 24 16:17:42 2010  reduce to 38918585 relations and 27494583 ideals in 5 passes
Wed Feb 24 16:17:42 2010  max relations containing the same ideal: 20
Wed Feb 24 16:18:13 2010  removing 1481557 relations and 1081557 ideals in 400000 cliques
Wed Feb 24 16:18:14 2010  commencing in-memory singleton removal
Wed Feb 24 16:18:21 2010  begin with 37437028 relations and 27494583 unique ideals
Wed Feb 24 16:18:57 2010  reduce to 37398987 relations and 26374621 ideals in 6 passes
Wed Feb 24 16:18:57 2010  max relations containing the same ideal: 20
Wed Feb 24 16:19:26 2010  removing 1463935 relations and 1063935 ideals in 400000 cliques
Wed Feb 24 16:19:27 2010  commencing in-memory singleton removal
Wed Feb 24 16:19:33 2010  begin with 35935052 relations and 26374621 unique ideals
Wed Feb 24 16:20:02 2010  reduce to 35898622 relations and 25273906 ideals in 5 passes
Wed Feb 24 16:20:02 2010  max relations containing the same ideal: 20
Wed Feb 24 16:20:29 2010  removing 1440507 relations and 1040507 ideals in 400000 cliques
Wed Feb 24 16:20:31 2010  commencing in-memory singleton removal
Wed Feb 24 16:20:36 2010  begin with 34458115 relations and 25273906 unique ideals
Wed Feb 24 16:21:08 2010  reduce to 34419627 relations and 24194526 ideals in 6 passes
Wed Feb 24 16:21:08 2010  max relations containing the same ideal: 20
Wed Feb 24 16:21:32 2010  removing 1423824 relations and 1023824 ideals in 400000 cliques
Wed Feb 24 16:21:34 2010  commencing in-memory singleton removal
Wed Feb 24 16:21:39 2010  begin with 32995803 relations and 24194526 unique ideals
Wed Feb 24 16:22:03 2010  reduce to 32954781 relations and 23129257 ideals in 5 passes
Wed Feb 24 16:22:03 2010  max relations containing the same ideal: 20
Wed Feb 24 16:22:27 2010  removing 1419969 relations and 1019969 ideals in 400000 cliques
Wed Feb 24 16:22:28 2010  commencing in-memory singleton removal
Wed Feb 24 16:22:33 2010  begin with 31534812 relations and 23129257 unique ideals
Wed Feb 24 16:22:55 2010  reduce to 31495099 relations and 22069140 ideals in 5 passes
Wed Feb 24 16:22:55 2010  max relations containing the same ideal: 20
Wed Feb 24 16:23:18 2010  removing 1398386 relations and 998386 ideals in 400000 cliques
Wed Feb 24 16:23:20 2010  commencing in-memory singleton removal
Wed Feb 24 16:23:24 2010  begin with 30096713 relations and 22069140 unique ideals
Wed Feb 24 16:23:46 2010  reduce to 30054807 relations and 21028392 ideals in 5 passes
Wed Feb 24 16:23:46 2010  max relations containing the same ideal: 20
Wed Feb 24 16:24:07 2010  removing 1391942 relations and 991942 ideals in 400000 cliques
Wed Feb 24 16:24:09 2010  commencing in-memory singleton removal
Wed Feb 24 16:24:13 2010  begin with 28662865 relations and 21028392 unique ideals
Wed Feb 24 16:24:37 2010  reduce to 28619286 relations and 19992353 ideals in 6 passes
Wed Feb 24 16:24:37 2010  max relations containing the same ideal: 19
Wed Feb 24 16:24:58 2010  removing 1383086 relations and 983086 ideals in 400000 cliques
Wed Feb 24 16:24:59 2010  commencing in-memory singleton removal
Wed Feb 24 16:25:03 2010  begin with 27236200 relations and 19992353 unique ideals
Wed Feb 24 16:25:26 2010  reduce to 27190536 relations and 18962995 ideals in 6 passes
Wed Feb 24 16:25:26 2010  max relations containing the same ideal: 19
Wed Feb 24 16:25:46 2010  removing 1370463 relations and 970463 ideals in 400000 cliques
Wed Feb 24 16:25:47 2010  commencing in-memory singleton removal
Wed Feb 24 16:25:51 2010  begin with 25820073 relations and 18962995 unique ideals
Wed Feb 24 16:26:12 2010  reduce to 25771258 relations and 17943054 ideals in 6 passes
Wed Feb 24 16:26:12 2010  max relations containing the same ideal: 19
Wed Feb 24 16:26:30 2010  removing 1360290 relations and 960290 ideals in 400000 cliques
Wed Feb 24 16:26:31 2010  commencing in-memory singleton removal
Wed Feb 24 16:26:35 2010  begin with 24410968 relations and 17943054 unique ideals
Wed Feb 24 16:26:56 2010  reduce to 24359151 relations and 16930149 ideals in 6 passes
Wed Feb 24 16:26:56 2010  max relations containing the same ideal: 19
Wed Feb 24 16:27:13 2010  removing 1361437 relations and 961437 ideals in 400000 cliques
Wed Feb 24 16:27:14 2010  commencing in-memory singleton removal
Wed Feb 24 16:27:17 2010  begin with 22997714 relations and 16930149 unique ideals
Wed Feb 24 16:27:33 2010  reduce to 22947582 relations and 15917819 ideals in 5 passes
Wed Feb 24 16:27:33 2010  max relations containing the same ideal: 19
Wed Feb 24 16:27:48 2010  removing 1347446 relations and 947446 ideals in 400000 cliques
Wed Feb 24 16:27:49 2010  commencing in-memory singleton removal
Wed Feb 24 16:27:52 2010  begin with 21600136 relations and 15917819 unique ideals
Wed Feb 24 16:28:10 2010  reduce to 21547168 relations and 14916500 ideals in 6 passes
Wed Feb 24 16:28:10 2010  max relations containing the same ideal: 19
Wed Feb 24 16:28:26 2010  removing 1341397 relations and 941397 ideals in 400000 cliques
Wed Feb 24 16:28:27 2010  commencing in-memory singleton removal
Wed Feb 24 16:28:30 2010  begin with 20205771 relations and 14916500 unique ideals
Wed Feb 24 16:28:47 2010  reduce to 20149142 relations and 13917484 ideals in 6 passes
Wed Feb 24 16:28:47 2010  max relations containing the same ideal: 18
Wed Feb 24 16:29:01 2010  removing 494849 relations and 376223 ideals in 118626 cliques
Wed Feb 24 16:29:02 2010  commencing in-memory singleton removal
Wed Feb 24 16:29:05 2010  begin with 19654293 relations and 13917484 unique ideals
Wed Feb 24 16:29:21 2010  reduce to 19647206 relations and 13534146 ideals in 6 passes
Wed Feb 24 16:29:21 2010  max relations containing the same ideal: 18
Wed Feb 24 16:29:25 2010  relations with 0 large ideals: 941516
Wed Feb 24 16:29:25 2010  relations with 1 large ideals: 3638227
Wed Feb 24 16:29:25 2010  relations with 2 large ideals: 6406863
Wed Feb 24 16:29:25 2010  relations with 3 large ideals: 5459446
Wed Feb 24 16:29:25 2010  relations with 4 large ideals: 2462751
Wed Feb 24 16:29:25 2010  relations with 5 large ideals: 609330
Wed Feb 24 16:29:25 2010  relations with 6 large ideals: 99777
Wed Feb 24 16:29:25 2010  relations with 7+ large ideals: 29296
Wed Feb 24 16:29:25 2010  commencing 2-way merge
Wed Feb 24 16:29:43 2010  reduce to 13844765 relation sets and 7731705 unique ideals
Wed Feb 24 16:29:44 2010  commencing full merge
Wed Feb 24 16:32:23 2010  memory use: 716.1 MB
Wed Feb 24 16:32:25 2010  found 6994278 cycles, need 6177905
Wed Feb 24 16:32:29 2010  weight of 6177905 cycles is about 494743549 (80.08/cycle)
Wed Feb 24 16:32:29 2010  distribution of cycle lengths:
Wed Feb 24 16:32:29 2010  1 relations: 989042
Wed Feb 24 16:32:29 2010  2 relations: 543537
Wed Feb 24 16:32:29 2010  3 relations: 535587
Wed Feb 24 16:32:29 2010  4 relations: 522355
Wed Feb 24 16:32:29 2010  5 relations: 518370
Wed Feb 24 16:32:29 2010  6 relations: 493913
Wed Feb 24 16:32:29 2010  7 relations: 469038
Wed Feb 24 16:32:29 2010  8 relations: 429337
Wed Feb 24 16:32:29 2010  9 relations: 388564
Wed Feb 24 16:32:29 2010  10+ relations: 1288162
Wed Feb 24 16:32:29 2010  heaviest cycle: 18 relations
Wed Feb 24 16:32:29 2010  commencing cycle optimization
Wed Feb 24 16:32:46 2010  start with 36635187 relations
Wed Feb 24 16:34:23 2010  pruned 2044264 relations
Wed Feb 24 16:34:23 2010  memory use: 1076.0 MB
Wed Feb 24 16:34:23 2010  distribution of cycle lengths:
Wed Feb 24 16:34:23 2010  1 relations: 989042
Wed Feb 24 16:34:23 2010  2 relations: 567648
Wed Feb 24 16:34:23 2010  3 relations: 573150
Wed Feb 24 16:34:23 2010  4 relations: 562311
Wed Feb 24 16:34:23 2010  5 relations: 564408
Wed Feb 24 16:34:23 2010  6 relations: 537165
Wed Feb 24 16:34:23 2010  7 relations: 506819
Wed Feb 24 16:34:23 2010  8 relations: 453847
Wed Feb 24 16:34:23 2010  9 relations: 398425
Wed Feb 24 16:34:23 2010  10+ relations: 1025090
Wed Feb 24 16:34:23 2010  heaviest cycle: 17 relations
Wed Feb 24 16:34:30 2010  RelProcTime: 6056
Wed Feb 24 16:34:30 2010  elapsed time 01:41:00

<linear algebra by Jeff Gilchrist>
Tue Mar  2 08:59:48 2010
Tue Mar  2 08:59:48 2010
Tue Mar  2 08:59:48 2010  Msieve v. 1.44
Tue Mar  2 08:59:48 2010  random seeds: bdfc66ef 2ec74554
Tue Mar  2 08:59:48 2010  factoring
4975034666209873565441882737027213303911130167863740458175940026420234767120978148057720884698958692213521332195548015775496113009394851549251261933724306651360828575881510525417782278930155897335159296460287429417581
(217 digits)
Tue Mar  2 08:59:51 2010  no P-1/P+1/ECM available, skipping
Tue Mar  2 08:59:51 2010  commencing number field sieve (217-digit input)
Tue Mar  2 08:59:51 2010  R0: -100000000000000000000000000000000000000
Tue Mar  2 08:59:51 2010  R1:  1
Tue Mar  2 08:59:51 2010  A0: -7
Tue Mar  2 08:59:51 2010  A1:  0
Tue Mar  2 08:59:51 2010  A2:  0
Tue Mar  2 08:59:51 2010  A3:  0
Tue Mar  2 08:59:51 2010  A4:  0
Tue Mar  2 08:59:51 2010  A5:  0
Tue Mar  2 08:59:51 2010  A6:  16
Tue Mar  2 08:59:51 2010  skew 0.87, size 2.687292e-11, alpha
1.013889, combined = 1.307278e-12
Tue Mar  2 08:59:51 2010
Tue Mar  2 08:59:51 2010  commencing linear algebra
Tue Mar  2 08:59:53 2010  read 6167665 cycles
Tue Mar  2 09:00:00 2010  matrix is 6167465 x 6167665 (1974.8 MB) with
weight 573020090 (92.91/col)
Tue Mar  2 09:00:00 2010  sparse part has weight 455999090 (73.93/col)
Tue Mar  2 09:00:01 2010  saving the first 48 matrix rows for later
Tue Mar  2 09:00:06 2010  matrix is 6167417 x 6167665 (1899.6 MB) with
weight 465756980 (75.52/col)
Tue Mar  2 09:00:07 2010  sparse part has weight 436295292 (70.74/col)
Tue Mar  2 09:00:07 2010  matrix includes 64 packed rows
Tue Mar  2 09:00:07 2010  using block size 65536 for processor cache
size 6144 kB
Tue Mar  2 09:00:45 2010  commencing Lanczos iteration (8 threads)
Tue Mar  2 09:00:45 2010  memory use: 2223.0 MB
Tue Mar  2 09:00:45 2010  restarting at iteration 85 (dim = 5366)
Tue Mar  2 09:01:21 2010  linear algebra at 0.1%, ETA 81h30m
Mon Mar  8 12:44:47 2010  lanczos halted after 97533 iterations (dim = 6167415)
Mon Mar  8 12:45:09 2010  recovered 35 nontrivial dependencies
Mon Mar  8 12:45:10 2010  BLanczosTime: 531919
Mon Mar  8 12:45:10 2010  elapsed time 147:45:22

<square root by Lionel Debroux>
Msieve v. 1.45
Wed Mar 10 10:34:19 2010
random seeds: 47320949 3d3bdbc8
factoring 4975034666209873565441882737027213303911130167863740458175940026420234767120978148057720884698958692213521332195548015775496113009394851549251261933724306651360828575881510525417782278930155897335159296460287429417581 (217 digits)
searching for 15-digit factors
commencing number field sieve (217-digit input)
R0: -100000000000000000000000000000000000000
R1:  1
A0: -7
A1:  0
A2:  0
A3:  0
A4:  0
A5:  0
A6:  16
skew 0.87, size 2.687292e-11, alpha 1.013889, combined = 1.307278e-12

commencing square root phase
reading relations for dependency 1
read 3082048 cycles
cycles contain 8597682 unique relations
read 8597682 relations
multiplying 8597682 relations
multiply complete, coefficients have about 244.13 million bits
initial square root is modulo 576966727
reading relations for dependency 2
read 3081905 cycles
cycles contain 8598196 unique relations
read 8598196 relations
multiplying 8598196 relations
multiply complete, coefficients have about 244.15 million bits
initial square root is modulo 577864117
reading relations for dependency 3
read 3084432 cycles
cycles contain 8598942 unique relations
read 8598942 relations
multiplying 8598942 relations
multiply complete, coefficients have about 244.17 million bits
initial square root is modulo 578944441
sqrtTime: 8889
prp105 factor: 275841557196554659897554169263263927106145002500207627152941393339306364373098802794288867045492713984331
prp113 factor: 18035841722952734165507884895674386602961587644406099091437599331567822531281291789159712935538438667459067635751
elapsed time 02:28:12

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 4, 2009 14:48:39 UTC 2009 年 7 月 4 日 (土) 23 時 48 分 39 秒 (日本時間)
403e62580Dmitry DomanovJuly 11, 2009 20:22:46 UTC 2009 年 7 月 12 日 (日) 5 時 22 分 46 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:42:55 UTC 2009 年 9 月 2 日 (水) 3 時 42 分 55 秒 (日本時間)

16×10229-79

c185

name 名前Dmitry Domanov
date 日付July 10, 2009 17:53:51 UTC 2009 年 7 月 11 日 (土) 2 時 53 分 51 秒 (日本時間)
composite number 合成数
15777298152870878641237523865394511452339641546080356575256995777203073155199809321207989144325772479878634941346719784942588143805307515700525131154021119079416723427541934362198651393<185>
prime factors 素因数
7535122564049591986328629082758999170461<40>
2093834309762269347842472452170929506605387419506516970926981601603119887876945670672882976345795440384666710964898063989946892665696919631391413<145>
factorization results 素因数分解の結果
C185=P40*P145
C185=7535122564049591986328629082758999170461<40>*2093834309762269347842472452170929506605387419506516970926981601603119887876945670672882976345795440384666710964898063989946892665696919631391413<145>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61379118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1261Dmitry DomanovJuly 4, 2009 14:50:17 UTC 2009 年 7 月 4 日 (土) 23 時 50 分 17 秒 (日本時間)

16×10230-79

c219

name 名前Dmitry Domanov
date 日付August 11, 2009 23:48:10 UTC 2009 年 8 月 12 日 (水) 8 時 48 分 10 秒 (日本時間)
composite number 合成数
100130343538240279564309086350667158847648423506774270684382943404583831162077109656262734874601520965979188229595210256839253184630726762977074908740711208153530529175311242244028936055702842368336165005124010403323469<219>
prime factors 素因数
3944281709221934348316789231845083597207091<43>
25386204870744998992688276663987897077304779888008176579483498199145614420279845835462036189475927778331120836559408570910727745551926370892296621414363814700980634305953356159<176>
factorization results 素因数分解の結果
C219=P43*P176
C219=3944281709221934348316789231845083597207091<43>*25386204870744998992688276663987897077304779888008176579483498199145614420279845835462036189475927778331120836559408570910727745551926370892296621414363814700980634305953356159<176>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61241118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1123Dmitry DomanovJuly 4, 2009 14:50:28 UTC 2009 年 7 月 4 日 (土) 23 時 50 分 28 秒 (日本時間)
403e62500Dmitry DomanovJuly 11, 2009 20:22:53 UTC 2009 年 7 月 12 日 (日) 5 時 22 分 53 秒 (日本時間)

16×10231-79

c228

name 名前RSALS + Jeff Gilchrist
date 日付March 17, 2010 11:42:22 UTC 2010 年 3 月 17 日 (水) 20 時 42 分 22 秒 (日本時間)
composite number 合成数
293896144449954997152881100641060965081464337539721900773314230083944086258518396061791664370603038151393251409783067908377876967726529637589316875149244135853492771991697433919288771330431108906890027736448632464502856303153873<228>
prime factors 素因数
53260345292403350551483098948638476566412004546604077<53>
5518104376463254017266001041441332789623836174428403854953749570973068259258119718074346140671845248937457714387185895960748855472174982396871929647926619154345769663539303349<175>
factorization results 素因数分解の結果
Thu Mar 11 20:27:14 2010  found 18053232 hash collisions in 105971939 relations
Thu Mar 11 20:27:44 2010  added 1218746 free relations
Thu Mar 11 20:27:45 2010  commencing duplicate removal, pass 2
Thu Mar 11 20:29:05 2010  found 16808728 duplicates and 90381957
unique relations
Thu Mar 11 20:29:05 2010  memory use: 660.8 MB
Thu Mar 11 20:29:05 2010  reading ideals above 720000
Thu Mar 11 20:29:06 2010  commencing singleton removal, initial pass
Thu Mar 11 20:50:10 2010  memory use: 2756.0 MB
Thu Mar 11 20:50:10 2010  reading all ideals from disk
Thu Mar 11 20:50:17 2010  memory use: 3416.2 MB
Thu Mar 11 20:50:42 2010  keeping 87762523 ideals with weight <= 200,
target excess is 473757
Thu Mar 11 20:51:11 2010  commencing in-memory singleton removal
Thu Mar 11 20:51:32 2010  begin with 90381957 relations and 87762523
unique ideals
Thu Mar 11 20:55:10 2010  reduce to 52250283 relations and 45064630
ideals in 16 passes
Thu Mar 11 20:55:10 2010  max relations containing the same ideal: 146
Thu Mar 11 20:56:07 2010  removing 3294799 relations and 2894799
ideals in 400000 cliques
Thu Mar 11 20:56:12 2010  commencing in-memory singleton removal
Thu Mar 11 20:56:23 2010  begin with 48955484 relations and 45064630
unique ideals
Thu Mar 11 20:57:56 2010  reduce to 48819800 relations and 42032754
ideals in 8 passes
Thu Mar 11 20:57:56 2010  max relations containing the same ideal: 141
Thu Mar 11 20:58:49 2010  removing 2436152 relations and 2036153
ideals in 400000 cliques
Thu Mar 11 20:58:53 2010  commencing in-memory singleton removal
Thu Mar 11 20:59:04 2010  begin with 46383648 relations and 42032754
unique ideals
Thu Mar 11 21:00:21 2010  reduce to 46301875 relations and 39914144
ideals in 7 passes
Thu Mar 11 21:00:21 2010  max relations containing the same ideal: 134
Thu Mar 11 21:01:11 2010  removing 2159537 relations and 1759537
ideals in 400000 cliques
Thu Mar 11 21:01:15 2010  commencing in-memory singleton removal
Thu Mar 11 21:01:25 2010  begin with 44142338 relations and 39914144
unique ideals
Thu Mar 11 21:02:38 2010  reduce to 44074387 relations and 38086112
ideals in 7 passes
Thu Mar 11 21:02:38 2010  max relations containing the same ideal: 130
Thu Mar 11 21:03:26 2010  removing 2003207 relations and 1603207
ideals in 400000 cliques
Thu Mar 11 21:03:30 2010  commencing in-memory singleton removal
Thu Mar 11 21:03:39 2010  begin with 42071180 relations and 38086112
unique ideals
Thu Mar 11 21:04:39 2010  reduce to 42010400 relations and 36421599
ideals in 6 passes
Thu Mar 11 21:04:39 2010  max relations containing the same ideal: 125
Thu Mar 11 21:05:24 2010  removing 1897709 relations and 1497709
ideals in 400000 cliques
Thu Mar 11 21:05:28 2010  commencing in-memory singleton removal
Thu Mar 11 21:05:37 2010  begin with 40112691 relations and 36421599
unique ideals
Thu Mar 11 21:06:34 2010  reduce to 40054940 relations and 34865680
ideals in 6 passes
Thu Mar 11 21:06:34 2010  max relations containing the same ideal: 121
Thu Mar 11 21:07:17 2010  removing 1815994 relations and 1415994
ideals in 400000 cliques
Thu Mar 11 21:07:21 2010  commencing in-memory singleton removal
Thu Mar 11 21:07:29 2010  begin with 38238946 relations and 34865680
unique ideals
Thu Mar 11 21:08:32 2010  reduce to 38183494 relations and 33393714
ideals in 7 passes
Thu Mar 11 21:08:32 2010  max relations containing the same ideal: 118
Thu Mar 11 21:09:14 2010  removing 1757164 relations and 1357164
ideals in 400000 cliques
Thu Mar 11 21:09:17 2010  commencing in-memory singleton removal
Thu Mar 11 21:09:25 2010  begin with 36426330 relations and 33393714
unique ideals
Thu Mar 11 21:10:16 2010  reduce to 36372000 relations and 31981699
ideals in 6 passes
Thu Mar 11 21:10:16 2010  max relations containing the same ideal: 113
Thu Mar 11 21:10:56 2010  removing 1709750 relations and 1309750
ideals in 400000 cliques
Thu Mar 11 21:10:59 2010  commencing in-memory singleton removal
Thu Mar 11 21:11:07 2010  begin with 34662250 relations and 31981699
unique ideals
Thu Mar 11 21:11:55 2010  reduce to 34606827 relations and 30616001
ideals in 6 passes
Thu Mar 11 21:11:55 2010  max relations containing the same ideal: 112
Thu Mar 11 21:12:33 2010  removing 1667307 relations and 1267307
ideals in 400000 cliques
Thu Mar 11 21:12:36 2010  commencing in-memory singleton removal
Thu Mar 11 21:12:43 2010  begin with 32939520 relations and 30616001
unique ideals
Thu Mar 11 21:13:30 2010  reduce to 32887571 relations and 29296233
ideals in 6 passes
Thu Mar 11 21:13:30 2010  max relations containing the same ideal: 108
Thu Mar 11 21:14:05 2010  removing 1627869 relations and 1227869
ideals in 400000 cliques
Thu Mar 11 21:14:08 2010  commencing in-memory singleton removal
Thu Mar 11 21:14:15 2010  begin with 31259702 relations and 29296233
unique ideals
Thu Mar 11 21:15:07 2010  reduce to 31206309 relations and 28014396
ideals in 7 passes
Thu Mar 11 21:15:07 2010  max relations containing the same ideal: 107
Thu Mar 11 21:15:41 2010  removing 1604660 relations and 1204660
ideals in 400000 cliques
Thu Mar 11 21:15:43 2010  commencing in-memory singleton removal
Thu Mar 11 21:15:50 2010  begin with 29601649 relations and 28014396
unique ideals
Thu Mar 11 21:16:32 2010  reduce to 29547904 relations and 26755396
ideals in 6 passes
Thu Mar 11 21:16:32 2010  max relations containing the same ideal: 103
Thu Mar 11 21:17:04 2010  removing 1574046 relations and 1174046
ideals in 400000 cliques
Thu Mar 11 21:17:06 2010  commencing in-memory singleton removal
Thu Mar 11 21:17:13 2010  begin with 27973858 relations and 26755396
unique ideals
Thu Mar 11 21:17:58 2010  reduce to 27916957 relations and 25523745
ideals in 7 passes
Thu Mar 11 21:17:58 2010  max relations containing the same ideal: 101
Thu Mar 11 21:18:29 2010  removing 1547715 relations and 1147715
ideals in 400000 cliques
Thu Mar 11 21:18:31 2010  commencing in-memory singleton removal
Thu Mar 11 21:18:37 2010  begin with 26369242 relations and 25523745
unique ideals
Thu Mar 11 21:19:14 2010  reduce to 26308267 relations and 24314286
ideals in 6 passes
Thu Mar 11 21:19:14 2010  max relations containing the same ideal: 97
Thu Mar 11 21:19:42 2010  removing 1533915 relations and 1133915
ideals in 400000 cliques
Thu Mar 11 21:19:45 2010  commencing in-memory singleton removal
Thu Mar 11 21:19:50 2010  begin with 24774352 relations and 24314286
unique ideals
Thu Mar 11 21:20:25 2010  reduce to 24716106 relations and 23121336
ideals in 6 passes
Thu Mar 11 21:20:25 2010  max relations containing the same ideal: 93
Thu Mar 11 21:20:52 2010  removing 1506128 relations and 1106128
ideals in 400000 cliques
Thu Mar 11 21:20:54 2010  commencing in-memory singleton removal
Thu Mar 11 21:20:59 2010  begin with 23209978 relations and 23121336
unique ideals
Thu Mar 11 21:21:32 2010  reduce to 23148662 relations and 21953039
ideals in 6 passes
Thu Mar 11 21:21:32 2010  max relations containing the same ideal: 87
Thu Mar 11 21:21:57 2010  removing 1491587 relations and 1091587
ideals in 400000 cliques
Thu Mar 11 21:21:59 2010  commencing in-memory singleton removal
Thu Mar 11 21:22:04 2010  begin with 21657075 relations and 21953039
unique ideals
Thu Mar 11 21:22:34 2010  reduce to 21591412 relations and 20794815
ideals in 6 passes
Thu Mar 11 21:22:34 2010  max relations containing the same ideal: 79
Thu Mar 11 21:22:57 2010  removing 1005327 relations and 758289 ideals
in 247038 cliques
Thu Mar 11 21:22:59 2010  commencing in-memory singleton removal
Thu Mar 11 21:23:04 2010  begin with 20586085 relations and 20794815
unique ideals
Thu Mar 11 21:23:32 2010  reduce to 20556260 relations and 20006374
ideals in 6 passes
Thu Mar 11 21:23:32 2010  max relations containing the same ideal: 77
Thu Mar 11 21:24:02 2010  relations with 0 large ideals: 15907
Thu Mar 11 21:24:02 2010  relations with 1 large ideals: 6157
Thu Mar 11 21:24:02 2010  relations with 2 large ideals: 83589
Thu Mar 11 21:24:02 2010  relations with 3 large ideals: 542649
Thu Mar 11 21:24:02 2010  relations with 4 large ideals: 1920812
Thu Mar 11 21:24:02 2010  relations with 5 large ideals: 4089712
Thu Mar 11 21:24:02 2010  relations with 6 large ideals: 5457341
Thu Mar 11 21:24:02 2010  relations with 7+ large ideals: 8440093
Thu Mar 11 21:24:02 2010  commencing 2-way merge
Thu Mar 11 21:24:34 2010  reduce to 14110743 relation sets and
13560857 unique ideals
Thu Mar 11 21:24:34 2010  commencing full merge
Thu Mar 11 21:31:29 2010  memory use: 1694.8 MB
Thu Mar 11 21:31:32 2010  found 7536669 cycles, need 7461057
Thu Mar 11 21:31:37 2010  weight of 7461057 cycles is about 522359718
(70.01/cycle)
Thu Mar 11 21:31:37 2010  distribution of cycle lengths:
Thu Mar 11 21:31:37 2010  1 relations: 727116
Thu Mar 11 21:31:37 2010  2 relations: 897669
Thu Mar 11 21:31:37 2010  3 relations: 941915
Thu Mar 11 21:31:37 2010  4 relations: 890760
Thu Mar 11 21:31:37 2010  5 relations: 823615
Thu Mar 11 21:31:37 2010  6 relations: 719975
Thu Mar 11 21:31:38 2010  7 relations: 610927
Thu Mar 11 21:31:38 2010  8 relations: 501184
Thu Mar 11 21:31:38 2010  9 relations: 396136
Thu Mar 11 21:31:38 2010  10+ relations: 951760
Thu Mar 11 21:31:38 2010  heaviest cycle: 19 relations
Thu Mar 11 21:31:41 2010  commencing cycle optimization
Thu Mar 11 21:32:01 2010  start with 40311752 relations
Thu Mar 11 21:33:53 2010  pruned 1122399 relations
Thu Mar 11 21:33:54 2010  memory use: 1273.5 MB
Thu Mar 11 21:33:54 2010  distribution of cycle lengths:
Thu Mar 11 21:33:54 2010  1 relations: 727116
Thu Mar 11 21:33:54 2010  2 relations: 916360
Thu Mar 11 21:33:54 2010  3 relations: 977404
Thu Mar 11 21:33:54 2010  4 relations: 917084
Thu Mar 11 21:33:54 2010  5 relations: 850386
Thu Mar 11 21:33:54 2010  6 relations: 734199
Thu Mar 11 21:33:54 2010  7 relations: 620309
Thu Mar 11 21:33:54 2010  8 relations: 499242
Thu Mar 11 21:33:54 2010  9 relations: 388814
Thu Mar 11 21:33:54 2010  10+ relations: 830143
Thu Mar 11 21:33:54 2010  heaviest cycle: 19 relations
Thu Mar 11 21:34:18 2010  RelProcTime: 5002
Thu Mar 11 21:34:23 2010
Thu Mar 11 21:34:23 2010  commencing linear algebra
Thu Mar 11 21:34:25 2010  read 7461057 cycles
Thu Mar 11 21:34:44 2010  cycles contain 20303762 unique relations
Thu Mar 11 21:38:21 2010  read 20303762 relations
Thu Mar 11 21:39:11 2010  using 20 quadratic characters above 1073739740
Thu Mar 11 21:41:37 2010  building initial matrix
Thu Mar 11 21:49:06 2010  memory use: 2679.0 MB
Thu Mar 11 21:49:15 2010  read 7461057 cycles
Thu Mar 11 21:49:24 2010  matrix is 7460879 x 7461057 (2248.7 MB) with
weight 663246862 (88.89/col)
Thu Mar 11 21:49:24 2010  sparse part has weight 507415742 (68.01/col)
Thu Mar 11 21:52:04 2010  filtering completed in 2 passes
Thu Mar 11 21:52:07 2010  matrix is 7459814 x 7459992 (2248.6 MB) with
weight 663216567 (88.90/col)
Thu Mar 11 21:52:07 2010  sparse part has weight 507407480 (68.02/col)
Thu Mar 11 21:53:01 2010  read 7459992 cycles
Thu Mar 11 21:53:09 2010  matrix is 7459814 x 7459992 (2248.6 MB) with
weight 663216567 (88.90/col)
Thu Mar 11 21:53:09 2010  sparse part has weight 507407480 (68.02/col)
Thu Mar 11 21:53:10 2010  saving the first 48 matrix rows for later
Thu Mar 11 21:53:17 2010  matrix is 7459766 x 7459992 (2141.1 MB) with
weight 525277291 (70.41/col)
Thu Mar 11 21:53:17 2010  sparse part has weight 486685369 (65.24/col)
Thu Mar 11 21:53:17 2010  matrix includes 64 packed rows
Thu Mar 11 21:53:17 2010  using block size 65536 for processor cache
size 6144 kB
Thu Mar 11 21:54:01 2010  commencing Lanczos iteration (8 threads)
Thu Mar 11 21:54:01 2010  memory use: 2553.7 MB
Thu Mar 11 21:54:49 2010  linear algebra at 0.0%, ETA 123h20m
Wed Mar 17 00:57:31 2010  lanczos halted after 117971 iterations (dim = 7459763)
Wed Mar 17 00:57:55 2010  recovered 32 nontrivial dependencies
Wed Mar 17 00:57:56 2010  BLanczosTime: 440613
Wed Mar 17 00:57:56 2010
Wed Mar 17 00:57:56 2010  commencing square root phase
Wed Mar 17 00:57:56 2010  reading relations for dependency 1
Wed Mar 17 00:57:59 2010  read 3729216 cycles
Wed Mar 17 00:58:09 2010  cycles contain 10148814 unique relations
Wed Mar 17 01:02:16 2010  read 10148814 relations
Wed Mar 17 01:03:43 2010  multiplying 10148814 relations
Wed Mar 17 01:22:49 2010  multiply complete, coefficients have about
327.25 million bits
Wed Mar 17 01:22:52 2010  initial square root is modulo 744721
Wed Mar 17 01:58:21 2010  sqrtTime: 3625
Wed Mar 17 01:58:21 2010  prp53 factor:
53260345292403350551483098948638476566412004546604077
Wed Mar 17 01:58:21 2010  prp175 factor:
5518104376463254017266001041441332789623836174428403854953749570973068259258119718074346140671845248937457714387185895960748855472174982396871929647926619154345769663539303349
Wed Mar 17 01:58:21 2010  elapsed time 124:47:29
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJuly 4, 2009 14:50:44 UTC 2009 年 7 月 4 日 (土) 23 時 50 分 44 秒 (日本時間)
403e62625Dmitry DomanovJuly 11, 2009 20:23:54 UTC 2009 年 7 月 12 日 (日) 5 時 23 分 54 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:43:01 UTC 2009 年 9 月 2 日 (水) 3 時 43 分 1 秒 (日本時間)

16×10232-79

c169

name 名前Dmitry Domanov
date 日付July 5, 2009 20:45:20 UTC 2009 年 7 月 6 日 (月) 5 時 45 分 20 秒 (日本時間)
composite number 合成数
9513488666392482322467298831884792512710973769632803943151806139956484353979465735833455702566651598026552119662274094897388593088217714560813632143498607696537928156597<169>
prime factors 素因数
56772616833085221976414195028964401<35>
composite cofactor 合成数の残り
167571783671037912466408452319759362185008616848696629101669918550562953076710717850252795352341060164798120833972449628332765915929797<135>
factorization results 素因数分解の結果
C169=P35*C135
C169=56772616833085221976414195028964401<35>*167571783671037912466408452319759362185008616848696629101669918550562953076710717850252795352341060164798120833972449628332765915929797<135>
software ソフトウェア
ECMNET

c135

name 名前Dmitry Domanov
date 日付September 4, 2009 03:31:16 UTC 2009 年 9 月 4 日 (金) 12 時 31 分 16 秒 (日本時間)
composite number 合成数
167571783671037912466408452319759362185008616848696629101669918550562953076710717850252795352341060164798120833972449628332765915929797<135>
prime factors 素因数
991707038199261642635694918632181570921619177195911067<54>
168973070893309583226946762274636602940726732619466985073885282922429123577148191<81>
factorization results 素因数分解の結果
Sieving ~14.5 cpu-days

Thu Sep 03 23:17:11 2009  Msieve v. 1.42
Thu Sep 03 23:17:11 2009  random seeds: c59a8090 61a115f0
Thu Sep 03 23:17:11 2009  factoring 167571783671037912466408452319759362185008616848696629101669918550562953076710717850252795352341060164798120833972449628332765915929797 (135 digits)
Thu Sep 03 23:17:13 2009  searching for 15-digit factors
Thu Sep 03 23:17:14 2009  commencing number field sieve (135-digit input)
Thu Sep 03 23:17:14 2009  R0: -88241649868393719374997646
Thu Sep 03 23:17:14 2009  R1:  726831347675741
Thu Sep 03 23:17:14 2009  A0: -170933990638688721822011537328945
Thu Sep 03 23:17:14 2009  A1:  3795778977486688813543737737
Thu Sep 03 23:17:14 2009  A2: -29194701397701178266901
Thu Sep 03 23:17:14 2009  A3:  19617994558279607
Thu Sep 03 23:17:14 2009  A4:  96670755294
Thu Sep 03 23:17:14 2009  A5:  31320
Thu Sep 03 23:17:14 2009  skew 568986.10, size 6.136336e-013, alpha -6.764677, combined = 4.549516e-011
Thu Sep 03 23:17:14 2009  
Thu Sep 03 23:17:14 2009  commencing relation filtering
Thu Sep 03 23:17:14 2009  estimated available RAM is 4094.1 MB
Thu Sep 03 23:17:14 2009  commencing duplicate removal, pass 1
Thu Sep 03 23:21:44 2009  error -15 reading relation 18121325
Thu Sep 03 23:22:30 2009  found 3394543 hash collisions in 21168001 relations
Thu Sep 03 23:24:05 2009  added 120075 free relations
Thu Sep 03 23:24:05 2009  commencing duplicate removal, pass 2
Thu Sep 03 23:25:11 2009  found 3004998 duplicates and 18283077 unique relations
Thu Sep 03 23:25:11 2009  memory use: 106.6 MB
Thu Sep 03 23:25:11 2009  reading ideals above 17235968
Thu Sep 03 23:25:24 2009  commencing singleton removal, initial pass
Thu Sep 03 23:30:40 2009  memory use: 298.4 MB
Thu Sep 03 23:30:40 2009  reading all ideals from disk
Thu Sep 03 23:30:41 2009  memory use: 296.1 MB
Thu Sep 03 23:30:43 2009  commencing in-memory singleton removal
Thu Sep 03 23:30:45 2009  begin with 18283077 relations and 17750433 unique ideals
Thu Sep 03 23:31:03 2009  reduce to 7274205 relations and 4928931 ideals in 19 passes
Thu Sep 03 23:31:03 2009  max relations containing the same ideal: 25
Thu Sep 03 23:31:05 2009  reading ideals above 100000
Thu Sep 03 23:31:05 2009  commencing singleton removal, initial pass
Thu Sep 03 23:33:56 2009  memory use: 149.2 MB
Thu Sep 03 23:33:56 2009  reading all ideals from disk
Thu Sep 03 23:33:57 2009  memory use: 277.9 MB
Thu Sep 03 23:33:59 2009  keeping 7146032 ideals with weight <= 200, target excess is 40579
Thu Sep 03 23:34:01 2009  commencing in-memory singleton removal
Thu Sep 03 23:34:03 2009  begin with 7284313 relations and 7146032 unique ideals
Thu Sep 03 23:34:31 2009  reduce to 7162150 relations and 6975502 ideals in 16 passes
Thu Sep 03 23:34:31 2009  max relations containing the same ideal: 200
Thu Sep 03 23:34:40 2009  removing 731699 relations and 661911 ideals in 69788 cliques
Thu Sep 03 23:34:41 2009  commencing in-memory singleton removal
Thu Sep 03 23:34:42 2009  begin with 6430451 relations and 6975502 unique ideals
Thu Sep 03 23:34:58 2009  reduce to 6377992 relations and 6260433 ideals in 10 passes
Thu Sep 03 23:34:58 2009  max relations containing the same ideal: 191
Thu Sep 03 23:35:06 2009  removing 531862 relations and 462074 ideals in 69788 cliques
Thu Sep 03 23:35:06 2009  commencing in-memory singleton removal
Thu Sep 03 23:35:08 2009  begin with 5846130 relations and 6260433 unique ideals
Thu Sep 03 23:35:20 2009  reduce to 5814049 relations and 5765944 ideals in 8 passes
Thu Sep 03 23:35:20 2009  max relations containing the same ideal: 178
Thu Sep 03 23:35:29 2009  relations with 0 large ideals: 126
Thu Sep 03 23:35:29 2009  relations with 1 large ideals: 107
Thu Sep 03 23:35:29 2009  relations with 2 large ideals: 1356
Thu Sep 03 23:35:29 2009  relations with 3 large ideals: 17628
Thu Sep 03 23:35:29 2009  relations with 4 large ideals: 124254
Thu Sep 03 23:35:29 2009  relations with 5 large ideals: 498727
Thu Sep 03 23:35:29 2009  relations with 6 large ideals: 1196711
Thu Sep 03 23:35:29 2009  relations with 7+ large ideals: 3975140
Thu Sep 03 23:35:29 2009  commencing 2-way merge
Thu Sep 03 23:35:40 2009  reduce to 3432549 relation sets and 3384445 unique ideals
Thu Sep 03 23:35:40 2009  ignored 1 oversize relation sets
Thu Sep 03 23:35:40 2009  commencing full merge
Thu Sep 03 23:37:25 2009  memory use: 348.3 MB
Thu Sep 03 23:37:26 2009  found 1791693 cycles, need 1786645
Thu Sep 03 23:37:26 2009  weight of 1786645 cycles is about 125238188 (70.10/cycle)
Thu Sep 03 23:37:26 2009  distribution of cycle lengths:
Thu Sep 03 23:37:26 2009  1 relations: 240311
Thu Sep 03 23:37:26 2009  2 relations: 234300
Thu Sep 03 23:37:26 2009  3 relations: 219512
Thu Sep 03 23:37:26 2009  4 relations: 187773
Thu Sep 03 23:37:26 2009  5 relations: 163477
Thu Sep 03 23:37:26 2009  6 relations: 134470
Thu Sep 03 23:37:26 2009  7 relations: 116196
Thu Sep 03 23:37:26 2009  8 relations: 95886
Thu Sep 03 23:37:26 2009  9 relations: 78945
Thu Sep 03 23:37:26 2009  10+ relations: 315775
Thu Sep 03 23:37:26 2009  heaviest cycle: 26 relations
Thu Sep 03 23:37:28 2009  commencing cycle optimization
Thu Sep 03 23:37:33 2009  start with 10207707 relations
Thu Sep 03 23:38:04 2009  pruned 213384 relations
Thu Sep 03 23:38:04 2009  memory use: 272.2 MB
Thu Sep 03 23:38:04 2009  distribution of cycle lengths:
Thu Sep 03 23:38:04 2009  1 relations: 240311
Thu Sep 03 23:38:04 2009  2 relations: 239131
Thu Sep 03 23:38:04 2009  3 relations: 226170
Thu Sep 03 23:38:04 2009  4 relations: 191236
Thu Sep 03 23:38:04 2009  5 relations: 165968
Thu Sep 03 23:38:04 2009  6 relations: 135445
Thu Sep 03 23:38:04 2009  7 relations: 116170
Thu Sep 03 23:38:04 2009  8 relations: 94947
Thu Sep 03 23:38:04 2009  9 relations: 77934
Thu Sep 03 23:38:04 2009  10+ relations: 299333
Thu Sep 03 23:38:04 2009  heaviest cycle: 26 relations
Thu Sep 03 23:38:12 2009  RelProcTime: 1258
Thu Sep 03 23:38:12 2009  
Thu Sep 03 23:38:12 2009  commencing linear algebra
Thu Sep 03 23:38:13 2009  read 1786645 cycles
Thu Sep 03 23:38:19 2009  cycles contain 5751378 unique relations
Thu Sep 03 23:42:39 2009  read 5751378 relations
Thu Sep 03 23:42:51 2009  using 20 quadratic characters above 268434582
Thu Sep 03 23:43:40 2009  building initial matrix
Thu Sep 03 23:45:27 2009  memory use: 662.0 MB
Thu Sep 03 23:45:33 2009  read 1786645 cycles
Thu Sep 03 23:47:26 2009  matrix is 1786468 x 1786645 (509.3 MB) with weight 167615762 (93.82/col)
Thu Sep 03 23:47:26 2009  sparse part has weight 120993610 (67.72/col)
Thu Sep 03 23:47:56 2009  filtering completed in 2 passes
Thu Sep 03 23:47:57 2009  matrix is 1785630 x 1785807 (509.2 MB) with weight 167585845 (93.84/col)
Thu Sep 03 23:47:57 2009  sparse part has weight 120987158 (67.75/col)
Thu Sep 03 23:48:16 2009  read 1785807 cycles
Thu Sep 03 23:53:35 2009  matrix is 1785630 x 1785807 (509.2 MB) with weight 167585845 (93.84/col)
Thu Sep 03 23:53:35 2009  sparse part has weight 120987158 (67.75/col)
Thu Sep 03 23:53:36 2009  saving the first 48 matrix rows for later
Thu Sep 03 23:53:37 2009  matrix is 1785582 x 1785807 (490.6 MB) with weight 133642017 (74.84/col)
Thu Sep 03 23:53:37 2009  sparse part has weight 117896943 (66.02/col)
Thu Sep 03 23:53:37 2009  matrix includes 64 packed rows
Thu Sep 03 23:53:37 2009  using block size 65536 for processor cache size 4096 kB
Thu Sep 03 23:53:57 2009  commencing Lanczos iteration (4 threads)
Thu Sep 03 23:53:57 2009  memory use: 546.0 MB
Fri Sep 04 05:07:20 2009  lanczos halted after 28239 iterations (dim = 1785582)
Fri Sep 04 05:07:25 2009  recovered 30 nontrivial dependencies
Fri Sep 04 05:07:35 2009  BLanczosTime: 19763
Fri Sep 04 05:07:35 2009  
Fri Sep 04 05:07:35 2009  commencing square root phase
Fri Sep 04 05:07:35 2009  reading relations for dependency 1
Fri Sep 04 05:07:36 2009  read 893981 cycles
Fri Sep 04 05:07:39 2009  cycles contain 3510263 unique relations
Fri Sep 04 05:11:33 2009  read 3510263 relations
Fri Sep 04 05:12:04 2009  multiplying 2876640 relations
Fri Sep 04 05:22:21 2009  multiply complete, coefficients have about 138.34 million bits
Fri Sep 04 05:22:29 2009  initial square root is modulo 92221
Fri Sep 04 05:38:01 2009  reading relations for dependency 2
Fri Sep 04 05:38:02 2009  read 893689 cycles
Fri Sep 04 05:38:05 2009  cycles contain 3510081 unique relations
Fri Sep 04 05:42:07 2009  read 3510081 relations
Fri Sep 04 05:42:38 2009  multiplying 2877082 relations
Fri Sep 04 05:52:54 2009  multiply complete, coefficients have about 138.36 million bits
Fri Sep 04 05:53:02 2009  initial square root is modulo 92431
Fri Sep 04 06:08:37 2009  sqrtTime: 3662
Fri Sep 04 06:08:37 2009  prp54 factor: 991707038199261642635694918632181570921619177195911067
Fri Sep 04 06:08:37 2009  prp81 factor: 168973070893309583226946762274636602940726732619466985073885282922429123577148191
Fri Sep 04 06:08:37 2009  elapsed time 06:51:26
software ソフトウェア
GGNFS/msieve 1.42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61196118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1078Dmitry DomanovJuly 4, 2009 14:50:54 UTC 2009 年 7 月 4 日 (土) 23 時 50 分 54 秒 (日本時間)
403e62610Dmitry DomanovJuly 11, 2009 20:24:19 UTC 2009 年 7 月 12 日 (日) 5 時 24 分 19 秒 (日本時間)

16×10234-79

c164

composite cofactor 合成数の残り
10679369021899796558786754357678893471446641067500493811560880828594753330662092669466538163791588705818162323076203196402645162047599785956803686004655362408866483<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61392118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1274Dmitry DomanovJuly 4, 2009 14:51:07 UTC 2009 年 7 月 4 日 (土) 23 時 51 分 7 秒 (日本時間)
403e62580Dmitry DomanovJuly 11, 2009 20:24:28 UTC 2009 年 7 月 12 日 (日) 5 時 24 分 28 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:39:23 UTC 2009 年 9 月 2 日 (水) 3 時 39 分 23 秒 (日本時間)
5043e61200500Dmitry DomanovSeptember 1, 2009 18:39:23 UTC 2009 年 9 月 2 日 (水) 3 時 39 分 23 秒 (日本時間)
700Dmitry DomanovOctober 25, 2009 09:30:48 UTC 2009 年 10 月 25 日 (日) 18 時 30 分 48 秒 (日本時間)
5511e72257 / 170382185yoyo@homeJuly 10, 2010 21:56:29 UTC 2010 年 7 月 11 日 (日) 6 時 56 分 29 秒 (日本時間)
72KTakahashiSeptember 2, 2014 08:59:18 UTC 2014 年 9 月 2 日 (火) 17 時 59 分 18 秒 (日本時間)

16×10235-79

c236

name 名前Dmitry Domanov
date 日付July 21, 2011 19:54:24 UTC 2011 年 7 月 22 日 (金) 4 時 54 分 24 秒 (日本時間)
composite number 合成数
17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<236>
prime factors 素因数
90384278795954422421083912613893089459049691886374840170357<59>
9829716895220975554343492389822584105667842801117630061355911<61>
20009837708930260071796139659999757059784199958307125682345489096688286880829911998032872214212090612649120644600651<116>
factorization results 素因数分解の結果
Sieving q in [12M-92M] took ~220 days by lasieve14e 64bit
Postprocessing done by Dual Xeon E5405 with 8Gb RAM running Centos 5.5 x86_64

Msieve v. 1.48
Tue Jul 12 22:13:24 2011
random seeds: 649f6b13 ad83e6e1
factoring 17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (236 digits)
searching for 15-digit factors
commencing number field sieve (236-digit input)
R0: -1000000000000000000000000000000000000000
R1:  1
A0: -7
A1:  0
A2:  0
A3:  0
A4:  0
A5:  0
A6:  160
skew 0.59, size 1.271e-11, alpha -0.011, combined = 7.608e-13 rroots = 2

commencing relation filtering
estimated available RAM is 7972.4 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
error -9 reading relation 25266558
read 30M relations
read 40M relations
read 50M relations
read 60M relations
read 70M relations
read 80M relations
read 90M relations
skipped 27 relations with b > 2^32
found 19542542 hash collisions in 99360885 relations
added 1218617 free relations
commencing duplicate removal, pass 2
found 19595461 duplicates and 80984041 unique relations
memory use: 660.8 MB
reading ideals above 81985536
commencing singleton removal, initial pass
memory use: 1506.0 MB
reading all ideals from disk
memory use: 1394.5 MB
commencing in-memory singleton removal
begin with 80984041 relations and 76125326 unique ideals
reduce to 39156756 relations and 28408349 ideals in 19 passes
max relations containing the same ideal: 31
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1475.1 MB
keeping 37751001 ideals with weight <= 200, target excess is 206358
commencing in-memory singleton removal
begin with 39156762 relations and 37751001 unique ideals
reduce to 39089358 relations and 37683465 ideals in 12 passes
max relations containing the same ideal: 200
removing 3851659 relations and 3451659 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 35237699 relations and 37683465 unique ideals
reduce to 34943149 relations and 33932997 ideals in 11 passes
max relations containing the same ideal: 194
removing 2825519 relations and 2425519 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 32117630 relations and 33932997 unique ideals
reduce to 31938379 relations and 31325989 ideals in 9 passes
max relations containing the same ideal: 187
removing 2354915 relations and 1981901 ideals in 373014 cliques
commencing in-memory singleton removal
begin with 29583464 relations and 31325989 unique ideals
reduce to 29447528 relations and 29206558 ideals in 9 passes
max relations containing the same ideal: 172
relations with 0 large ideals: 7849
relations with 1 large ideals: 929
relations with 2 large ideals: 10494
relations with 3 large ideals: 109745
relations with 4 large ideals: 661115
relations with 5 large ideals: 2395094
relations with 6 large ideals: 5444963
relations with 7+ large ideals: 20817339
commencing 2-way merge
reduce to 18342431 relation sets and 18101461 unique ideals
commencing full merge
memory use: 2234.5 MB
found 9798507 cycles, need 9769661
weight of 9769661 cycles is about 684042916 (70.02/cycle)
distribution of cycle lengths:
1 relations: 1451656
2 relations: 1328739
3 relations: 1238209
4 relations: 1061494
5 relations: 896552
6 relations: 750812
7 relations: 628184
8 relations: 516258
9 relations: 421699
10+ relations: 1476058
heaviest cycle: 25 relations
commencing cycle optimization
start with 52223732 relations
pruned 1121405 relations
memory use: 1740.6 MB
distribution of cycle lengths:
1 relations: 1451656
2 relations: 1354500
3 relations: 1276579
4 relations: 1079886
5 relations: 911950
6 relations: 755168
7 relations: 628727
8 relations: 511785
9 relations: 415416
10+ relations: 1383994
heaviest cycle: 25 relations
RelProcTime: 5870
elapsed time 01:37:53

Wed Jul 13 00:21:48 2011  Msieve v. 1.48
Wed Jul 13 00:21:48 2011  random seeds: 4060d266 ef635be2
Wed Jul 13 00:21:48 2011  factoring 17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (236 digits)
Wed Jul 13 00:21:51 2011  searching for 15-digit factors
Wed Jul 13 00:21:51 2011  commencing number field sieve (236-digit input)
Wed Jul 13 00:21:51 2011  R0: -1000000000000000000000000000000000000000
Wed Jul 13 00:21:51 2011  R1:  1
Wed Jul 13 00:21:51 2011  A0: -7
Wed Jul 13 00:21:51 2011  A1:  0
Wed Jul 13 00:21:51 2011  A2:  0
Wed Jul 13 00:21:51 2011  A3:  0
Wed Jul 13 00:21:51 2011  A4:  0
Wed Jul 13 00:21:51 2011  A5:  0
Wed Jul 13 00:21:51 2011  A6:  160
Wed Jul 13 00:21:51 2011  skew 0.59, size 1.271e-11, alpha -0.011, combined = 7.608e-13 rroots = 2
Wed Jul 13 00:21:51 2011
Wed Jul 13 00:21:51 2011  commencing linear algebra
Wed Jul 13 00:21:53 2011  read 9769661 cycles
Wed Jul 13 00:22:18 2011  cycles contain 29196658 unique relations
Wed Jul 13 00:34:30 2011  read 29196658 relations
Wed Jul 13 00:35:39 2011  using 20 quadratic characters above 1073741562
Wed Jul 13 00:39:02 2011  building initial matrix
Wed Jul 13 00:47:37 2011  memory use: 3688.3 MB
Wed Jul 13 00:47:48 2011  read 9769661 cycles
Wed Jul 13 00:47:51 2011  matrix is 9769483 x 9769661 (2904.1 MB) with weight 856187175 (87.64/col)
Wed Jul 13 00:47:51 2011  sparse part has weight 663590526 (67.92/col)
Wed Jul 13 00:50:58 2011  filtering completed in 2 passes
Wed Jul 13 00:51:01 2011  matrix is 9765171 x 9765349 (2903.8 MB) with weight 856070394 (87.66/col)
Wed Jul 13 00:51:01 2011  sparse part has weight 663561745 (67.95/col)
Wed Jul 13 00:51:58 2011  matrix starts at (0, 0)
Wed Jul 13 00:52:01 2011  matrix is 9765171 x 9765349 (2903.8 MB) with weight 856070394 (87.66/col)
Wed Jul 13 00:52:01 2011  sparse part has weight 663561745 (67.95/col)
Wed Jul 13 00:52:01 2011  saving the first 48 matrix rows for later
Wed Jul 13 00:52:04 2011  matrix includes 64 packed rows
Wed Jul 13 00:52:07 2011  matrix is 9765123 x 9765349 (2806.1 MB) with weight 679431115 (69.58/col)
Wed Jul 13 00:52:07 2011  sparse part has weight 637952758 (65.33/col)
Wed Jul 13 00:52:07 2011  using block size 262144 for processor cache size 6144 kB
Wed Jul 13 00:52:36 2011  commencing Lanczos iteration (8 threads)
Wed Jul 13 00:52:36 2011  memory use: 3758.0 MB
Wed Jul 13 00:54:19 2011  linear algebra at 0.0%, ETA 175h40m
Wed Jul 13 00:54:52 2011  checkpointing every 60000 dimensions
Wed Jul 20 10:02:03 2011  lanczos halted after 154435 iterations (dim = 9765123)
Wed Jul 20 10:02:20 2011  recovered 35 nontrivial dependencies
Wed Jul 20 10:02:21 2011  BLanczosTime: 639630
Wed Jul 20 10:02:21 2011  elapsed time 177:40:33
Msieve v. 1.48
Wed Jul 20 12:25:49 2011
random seeds: f2960802 88ff8685
factoring 17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (236 digits)
searching for 15-digit factors
commencing number field sieve (236-digit input)
R0: -1000000000000000000000000000000000000000
R1:  1
A0: -7
A1:  0
A2:  0
A3:  0
A4:  0
A5:  0
A6:  160
skew 0.59, size 1.271e-11, alpha -0.011, combined = 7.608e-13 rroots = 2

commencing square root phase
reading relations for dependency 1
read 4887056 cycles
cycles contain 14609034 unique relations
read 14609034 relations
multiplying 14609034 relations
multiply complete, coefficients have about 459.62 million bits
initial square root is modulo 176639641
reading relations for dependency 2
read 4881593 cycles
cycles contain 14593428 unique relations
read 14593428 relations
multiplying 14593428 relations
multiply complete, coefficients have about 459.13 million bits
initial square root is modulo 173114413
reading relations for dependency 3
read 4880263 cycles
cycles contain 14598682 unique relations
read 14598682 relations
multiplying 14598682 relations
multiply complete, coefficients have about 459.30 million bits
initial square root is modulo 174282811
reading relations for dependency 4
read 4884923 cycles
cycles contain 14605380 unique relations
read 14605380 relations
multiplying 14605380 relations
multiply complete, coefficients have about 459.51 million bits
initial square root is modulo 175830007
reading relations for dependency 5
read 4881032 cycles
cycles contain 14594232 unique relations
read 14594232 relations
multiplying 14594232 relations
multiply complete, coefficients have about 459.16 million bits
initial square root is modulo 173272459
reading relations for dependency 6
read 4881827 cycles
cycles contain 14596068 unique relations
read 14596068 relations
multiplying 14596068 relations
multiply complete, coefficients have about 459.21 million bits
initial square root is modulo 173636509
sqrtTime: 26522
prp59 factor: 90384278795954422421083912613893089459049691886374840170357
prp61 factor: 9829716895220975554343492389822584105667842801117630061355911
prp116 factor: 20009837708930260071796139659999757059784199958307125682345489096688286880829911998032872214212090612649120644600651
elapsed time 07:22:06
software ソフトウェア
ggnfs+msieve v1.48

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
786Jo Yeong UkJuly 3, 2009 05:27:06 UTC 2009 年 7 月 3 日 (金) 14 時 27 分 6 秒 (日本時間)
403e62800300Serge BatalovJuly 7, 2009 01:45:28 UTC 2009 年 7 月 7 日 (火) 10 時 45 分 28 秒 (日本時間)
2500Dmitry DomanovJuly 8, 2009 01:41:53 UTC 2009 年 7 月 8 日 (水) 10 時 41 分 53 秒 (日本時間)
4511e63820Jo Yeong UkAugust 5, 2009 12:03:42 UTC 2009 年 8 月 5 日 (水) 21 時 3 分 42 秒 (日本時間)
5043e63000 / 65851900Dmitry DomanovAugust 11, 2009 21:18:55 UTC 2009 年 8 月 12 日 (水) 6 時 18 分 55 秒 (日本時間)
1100Dmitry DomanovAugust 24, 2009 21:55:18 UTC 2009 年 8 月 25 日 (火) 6 時 55 分 18 秒 (日本時間)

16×10237-79

c230

name 名前RSALS + Michael Rao
date 日付March 29, 2010 12:24:01 UTC 2010 年 3 月 29 日 (月) 21 時 24 分 1 秒 (日本時間)
composite number 合成数
35368215071869970384226163359901030184810838417972931453854889744264749375180138885100621477675316279765914672761989483937665492713819433948650307686781748781703700492564510303509309235836621986022671507752999005244635455795172339<230>
prime factors 素因数
45239307117506293525158467696947703371081866313541189632849100582979046978730876229673627227593085923266349<107>
781802757942406722337000067607530554554443843569617504633085815197556448207038541435908636283074915712317385779527352132511<123>
factorization results 素因数分解の結果
<sieving by the RSALS grid>

<filtering + linear algebra + square root by Michael Rao>
Fri Mar 12 12:15:04 2010  
Fri Mar 12 12:15:04 2010  
Fri Mar 12 12:15:04 2010  Msieve v. 1.44
Fri Mar 12 12:15:04 2010  random seeds: c294a0df 68cbe10b
Fri Mar 12 12:15:04 2010  factoring 35368215071869970384226163359901030184810838417972931453854889744264749375180138885100621477675316279765914672761989483937665492713819433948650307686781748781703700492564510303509309235836621986022671507752999005244635455795172339 (230 digits)
Fri Mar 12 12:15:08 2010  searching for 15-digit factors
Fri Mar 12 12:15:09 2010  commencing number field sieve (230-digit input)
Fri Mar 12 12:15:09 2010  R0: -2000000000000000000000000000000000000000
Fri Mar 12 12:15:09 2010  R1:  1
Fri Mar 12 12:15:09 2010  A0: -7
Fri Mar 12 12:15:09 2010  A1:  0
Fri Mar 12 12:15:09 2010  A2:  0
Fri Mar 12 12:15:09 2010  A3:  0
Fri Mar 12 12:15:09 2010  A4:  0
Fri Mar 12 12:15:09 2010  A5:  0
Fri Mar 12 12:15:09 2010  A6:  250
Fri Mar 12 12:15:09 2010  skew 0.55, size 1.026711e-11, alpha -0.217744, combined = 6.515103e-13
Fri Mar 12 12:15:09 2010  
Fri Mar 12 12:15:09 2010  commencing relation filtering
Fri Mar 12 12:15:09 2010  estimated available RAM is 32237.1 MB
Fri Mar 12 12:15:09 2010  commencing duplicate removal, pass 1
[snip errors reading relations]
Fri Mar 12 12:31:29 2010  found 17610054 hash collisions in 98528715 relations
Fri Mar 12 12:32:01 2010  added 1218746 free relations
Fri Mar 12 12:32:01 2010  commencing duplicate removal, pass 2
Fri Mar 12 12:33:08 2010  found 16967869 duplicates and 82779592 unique relations
Fri Mar 12 12:33:08 2010  memory use: 426.4 MB
Fri Mar 12 12:33:08 2010  reading ideals above 720000
Fri Mar 12 12:33:09 2010  commencing singleton removal, initial pass
Fri Mar 12 12:54:41 2010  memory use: 2756.0 MB
Fri Mar 12 12:54:42 2010  reading all ideals from disk
Fri Mar 12 12:54:46 2010  memory use: 3183.4 MB
Fri Mar 12 12:55:15 2010  keeping 86341241 ideals with weight <= 200, target excess is 432293
Fri Mar 12 12:55:44 2010  commencing in-memory singleton removal
Fri Mar 12 12:56:08 2010  begin with 82779592 relations and 86341241 unique ideals
Fri Mar 12 13:00:33 2010  reduce to 41993085 relations and 40033822 ideals in 19 passes
Fri Mar 12 13:00:33 2010  max relations containing the same ideal: 134
Fri Mar 12 13:01:29 2010  removing 3705006 relations and 3305006 ideals in 400000 cliques
Fri Mar 12 13:01:32 2010  commencing in-memory singleton removal
Fri Mar 12 13:01:42 2010  begin with 38288079 relations and 40033822 unique ideals
Fri Mar 12 13:03:18 2010  reduce to 38048803 relations and 36486258 ideals in 9 passes
Fri Mar 12 13:03:18 2010  max relations containing the same ideal: 122
Fri Mar 12 13:04:07 2010  removing 2703129 relations and 2303129 ideals in 400000 cliques
Fri Mar 12 13:04:09 2010  commencing in-memory singleton removal
Fri Mar 12 13:04:19 2010  begin with 35345674 relations and 36486258 unique ideals
Fri Mar 12 13:05:48 2010  reduce to 35204051 relations and 34039830 ideals in 9 passes
Fri Mar 12 13:05:48 2010  max relations containing the same ideal: 115
Fri Mar 12 13:06:33 2010  removing 2377596 relations and 1977596 ideals in 400000 cliques
Fri Mar 12 13:06:35 2010  commencing in-memory singleton removal
Fri Mar 12 13:06:44 2010  begin with 32826455 relations and 34039830 unique ideals
Fri Mar 12 13:07:56 2010  reduce to 32708846 relations and 31943345 ideals in 8 passes
Fri Mar 12 13:07:56 2010  max relations containing the same ideal: 112
Fri Mar 12 13:08:38 2010  removing 1546986 relations and 1282945 ideals in 264041 cliques
Fri Mar 12 13:08:39 2010  commencing in-memory singleton removal
Fri Mar 12 13:08:48 2010  begin with 31161860 relations and 31943345 unique ideals
Fri Mar 12 13:09:48 2010  reduce to 31108888 relations and 30607037 ideals in 7 passes
Fri Mar 12 13:09:48 2010  max relations containing the same ideal: 108
Fri Mar 12 13:10:40 2010  relations with 0 large ideals: 14435
Fri Mar 12 13:10:40 2010  relations with 1 large ideals: 3447
Fri Mar 12 13:10:40 2010  relations with 2 large ideals: 52629
Fri Mar 12 13:10:40 2010  relations with 3 large ideals: 411126
Fri Mar 12 13:10:40 2010  relations with 4 large ideals: 1790989
Fri Mar 12 13:10:40 2010  relations with 5 large ideals: 4703980
Fri Mar 12 13:10:40 2010  relations with 6 large ideals: 7729430
Fri Mar 12 13:10:40 2010  relations with 7+ large ideals: 16402852
Fri Mar 12 13:10:40 2010  commencing 2-way merge
Fri Mar 12 13:11:34 2010  reduce to 20106366 relation sets and 19604515 unique ideals
Fri Mar 12 13:11:34 2010  commencing full merge
Fri Mar 12 13:24:10 2010  memory use: 2456.3 MB
Fri Mar 12 13:24:14 2010  found 10756894 cycles, need 10690715
Fri Mar 12 13:24:21 2010  weight of 10690715 cycles is about 748664050 (70.03/cycle)
Fri Mar 12 13:24:21 2010  distribution of cycle lengths:
Fri Mar 12 13:24:21 2010  1 relations: 1371707
Fri Mar 12 13:24:21 2010  2 relations: 1455988
Fri Mar 12 13:24:21 2010  3 relations: 1378338
Fri Mar 12 13:24:21 2010  4 relations: 1194962
Fri Mar 12 13:24:21 2010  5 relations: 1026446
Fri Mar 12 13:24:21 2010  6 relations: 849926
Fri Mar 12 13:24:21 2010  7 relations: 715555
Fri Mar 12 13:24:21 2010  8 relations: 592336
Fri Mar 12 13:24:21 2010  9 relations: 486124
Fri Mar 12 13:24:21 2010  10+ relations: 1619333
Fri Mar 12 13:24:21 2010  heaviest cycle: 23 relations
Fri Mar 12 13:24:26 2010  commencing cycle optimization
Fri Mar 12 13:25:00 2010  start with 57754322 relations
Fri Mar 12 13:27:57 2010  pruned 1369720 relations
Fri Mar 12 13:27:58 2010  memory use: 1875.3 MB
Fri Mar 12 13:27:58 2010  distribution of cycle lengths:
Fri Mar 12 13:27:58 2010  1 relations: 1371707
Fri Mar 12 13:27:58 2010  2 relations: 1485709
Fri Mar 12 13:27:58 2010  3 relations: 1425874
Fri Mar 12 13:27:58 2010  4 relations: 1221033
Fri Mar 12 13:27:58 2010  5 relations: 1045766
Fri Mar 12 13:27:58 2010  6 relations: 856639
Fri Mar 12 13:27:58 2010  7 relations: 717144
Fri Mar 12 13:27:58 2010  8 relations: 587200
Fri Mar 12 13:27:58 2010  9 relations: 478351
Fri Mar 12 13:27:58 2010  10+ relations: 1501292
Fri Mar 12 13:27:58 2010  heaviest cycle: 23 relations
Fri Mar 12 13:28:26 2010  RelProcTime: 4397
Fri Mar 12 13:28:26 2010  
Fri Mar 12 13:28:26 2010  commencing linear algebra
Fri Mar 12 13:28:37 2010  read 10690715 cycles
Fri Mar 12 13:29:08 2010  cycles contain 30746526 unique relations
Fri Mar 12 13:34:25 2010  read 30746526 relations
Fri Mar 12 13:35:56 2010  using 20 quadratic characters above 1073741664
Fri Mar 12 13:39:48 2010  building initial matrix
Fri Mar 12 13:51:00 2010  memory use: 4080.2 MB
Fri Mar 12 13:51:06 2010  read 10690715 cycles
Fri Mar 12 13:51:15 2010  matrix is 10690536 x 10690715 (3233.9 MB) with weight 949276981 (88.79/col)
Fri Mar 12 13:51:15 2010  sparse part has weight 730139890 (68.30/col)
Fri Mar 12 13:56:26 2010  filtering completed in 2 passes
Fri Mar 12 13:56:29 2010  matrix is 10685766 x 10685944 (3233.5 MB) with weight 949140348 (88.82/col)
Fri Mar 12 13:56:29 2010  sparse part has weight 730103260 (68.32/col)
Fri Mar 12 13:57:09 2010  read 10685944 cycles
Fri Mar 12 13:57:17 2010  matrix is 10685766 x 10685944 (3233.5 MB) with weight 949140348 (88.82/col)
Fri Mar 12 13:57:17 2010  sparse part has weight 730103260 (68.32/col)
Fri Mar 12 13:57:18 2010  saving the first 48 matrix rows for later
Fri Mar 12 13:57:24 2010  matrix is 10685718 x 10685944 (3084.5 MB) with weight 755174265 (70.67/col)
Fri Mar 12 13:57:24 2010  sparse part has weight 701714624 (65.67/col)
Fri Mar 12 13:57:24 2010  matrix includes 64 packed rows
Fri Mar 12 13:57:24 2010  using block size 65536 for processor cache size 4096 kB
Fri Mar 12 13:58:24 2010  commencing Lanczos iteration (4 threads)
Fri Mar 12 13:58:24 2010  memory use: 3356.8 MB
Fri Mar 12 14:00:10 2010  linear algebra at 0.0%, ETA 381h43m
Fri Mar 12 15:43:04 2010  lanczos halted after 647 iterations (dim = 40903)
Fri Mar 12 15:43:05 2010  BLanczosTime: 8079
Fri Mar 12 15:43:05 2010  
Fri Mar 12 15:43:05 2010  commencing square root phase
Fri Mar 12 15:43:05 2010  reading relations for dependency 1
Fri Mar 12 15:43:05 2010  error: read_cycles can't open dependency file
Fri Mar 12 15:43:24 2010  
Fri Mar 12 15:43:24 2010  
Fri Mar 12 15:43:24 2010  Msieve v. 1.44
Fri Mar 12 15:43:24 2010  random seeds: 09d68cc6 1e5baf57
Fri Mar 12 15:43:24 2010  factoring 35368215071869970384226163359901030184810838417972931453854889744264749375180138885100621477675316279765914672761989483937665492713819433948650307686781748781703700492564510303509309235836621986022671507752999005244635455795172339 (230 digits)
Fri Mar 12 15:43:27 2010  searching for 15-digit factors
Fri Mar 12 15:43:28 2010  commencing number field sieve (230-digit input)
Fri Mar 12 15:43:28 2010  R0: -2000000000000000000000000000000000000000
Fri Mar 12 15:43:28 2010  R1:  1
Fri Mar 12 15:43:28 2010  A0: -7
Fri Mar 12 15:43:28 2010  A1:  0
Fri Mar 12 15:43:28 2010  A2:  0
Fri Mar 12 15:43:28 2010  A3:  0
Fri Mar 12 15:43:28 2010  A4:  0
Fri Mar 12 15:43:28 2010  A5:  0
Fri Mar 12 15:43:28 2010  A6:  250
Fri Mar 12 15:43:28 2010  skew 0.55, size 1.026711e-11, alpha -0.217744, combined = 6.515103e-13
Fri Mar 12 15:43:28 2010  
Fri Mar 12 15:43:28 2010  commencing linear algebra
Fri Mar 12 15:43:31 2010  read 10685944 cycles
Fri Mar 12 15:45:35 2010  
Fri Mar 12 15:45:35 2010  
Fri Mar 12 15:45:35 2010  Msieve v. 1.44
Fri Mar 12 15:45:35 2010  random seeds: 88f98432 951fbec5
Fri Mar 12 15:45:35 2010  factoring 35368215071869970384226163359901030184810838417972931453854889744264749375180138885100621477675316279765914672761989483937665492713819433948650307686781748781703700492564510303509309235836621986022671507752999005244635455795172339 (230 digits)
Fri Mar 12 15:45:38 2010  searching for 15-digit factors
Fri Mar 12 15:45:39 2010  commencing number field sieve (230-digit input)
Fri Mar 12 15:45:39 2010  R0: -2000000000000000000000000000000000000000
Fri Mar 12 15:45:39 2010  R1:  1
Fri Mar 12 15:45:39 2010  A0: -7
Fri Mar 12 15:45:39 2010  A1:  0
Fri Mar 12 15:45:39 2010  A2:  0
Fri Mar 12 15:45:39 2010  A3:  0
Fri Mar 12 15:45:39 2010  A4:  0
Fri Mar 12 15:45:39 2010  A5:  0
Fri Mar 12 15:45:39 2010  A6:  250
Fri Mar 12 15:45:39 2010  skew 0.55, size 1.026711e-11, alpha -0.217744, combined = 6.515103e-13
Fri Mar 12 15:45:39 2010  
Fri Mar 12 15:45:39 2010  commencing linear algebra
Fri Mar 12 15:45:41 2010  read 10685944 cycles
Fri Mar 12 15:46:12 2010  cycles contain 30746094 unique relations
Fri Mar 12 15:51:26 2010  read 30746094 relations
Fri Mar 12 15:52:58 2010  using 20 quadratic characters above 1073741664
Fri Mar 12 15:56:50 2010  building initial matrix
Fri Mar 12 16:07:45 2010  memory use: 4080.0 MB
Fri Mar 12 16:07:50 2010  read 10685944 cycles
Fri Mar 12 16:07:59 2010  matrix is 10685766 x 10685944 (3233.5 MB) with weight 949140348 (88.82/col)
Fri Mar 12 16:07:59 2010  sparse part has weight 730103260 (68.32/col)
Fri Mar 12 16:10:24 2010  filtering completed in 1 passes
Fri Mar 12 16:10:28 2010  matrix is 10685766 x 10685944 (3233.5 MB) with weight 949140348 (88.82/col)
Fri Mar 12 16:10:28 2010  sparse part has weight 730103260 (68.32/col)
Fri Mar 12 16:10:59 2010  read 10685944 cycles
Fri Mar 12 16:11:08 2010  matrix is 10685766 x 10685944 (3233.5 MB) with weight 949140348 (88.82/col)
Fri Mar 12 16:11:08 2010  sparse part has weight 730103260 (68.32/col)
Fri Mar 12 16:11:08 2010  saving the first 48 matrix rows for later
Fri Mar 12 16:11:14 2010  matrix is 10685718 x 10685944 (3084.5 MB) with weight 755174265 (70.67/col)
Fri Mar 12 16:11:14 2010  sparse part has weight 701714624 (65.67/col)
Fri Mar 12 16:11:14 2010  matrix includes 64 packed rows
Fri Mar 12 16:11:14 2010  using block size 65536 for processor cache size 4096 kB
Fri Mar 12 16:12:14 2010  commencing Lanczos iteration (8 threads)
Fri Mar 12 16:12:14 2010  memory use: 3683.0 MB
Fri Mar 12 16:13:54 2010  linear algebra at 0.0%, ETA 360h43m
Fri Mar 12 22:33:09 2010  
Fri Mar 12 22:33:09 2010  
Fri Mar 12 22:33:09 2010  Msieve v. 1.44
Fri Mar 12 22:33:09 2010  random seeds: c2714178 e24ad3b5
Fri Mar 12 22:33:09 2010  factoring 35368215071869970384226163359901030184810838417972931453854889744264749375180138885100621477675316279765914672761989483937665492713819433948650307686781748781703700492564510303509309235836621986022671507752999005244635455795172339 (230 digits)
Fri Mar 12 22:33:12 2010  searching for 15-digit factors
Fri Mar 12 22:33:12 2010  commencing number field sieve (230-digit input)
Fri Mar 12 22:33:12 2010  R0: -2000000000000000000000000000000000000000
Fri Mar 12 22:33:12 2010  R1:  1
Fri Mar 12 22:33:12 2010  A0: -7
Fri Mar 12 22:33:12 2010  A1:  0
Fri Mar 12 22:33:12 2010  A2:  0
Fri Mar 12 22:33:12 2010  A3:  0
Fri Mar 12 22:33:12 2010  A4:  0
Fri Mar 12 22:33:12 2010  A5:  0
Fri Mar 12 22:33:12 2010  A6:  250
Fri Mar 12 22:33:12 2010  skew 0.55, size 1.026711e-11, alpha -0.217744, combined = 6.515103e-13
Fri Mar 12 22:33:12 2010  
Fri Mar 12 22:33:12 2010  commencing linear algebra
Fri Mar 12 22:33:19 2010  read 10685944 cycles
Fri Mar 12 22:34:29 2010  matrix is 10685766 x 10685944 (3233.5 MB) with weight 949140348 (88.82/col)
Fri Mar 12 22:34:29 2010  sparse part has weight 730103260 (68.32/col)
Fri Mar 12 22:34:29 2010  saving the first 48 matrix rows for later
Fri Mar 12 22:34:35 2010  matrix is 10685718 x 10685944 (3084.5 MB) with weight 755174265 (70.67/col)
Fri Mar 12 22:34:35 2010  sparse part has weight 701714624 (65.67/col)
Fri Mar 12 22:34:35 2010  matrix includes 64 packed rows
Fri Mar 12 22:34:35 2010  using block size 65536 for processor cache size 4096 kB
Fri Mar 12 22:35:35 2010  commencing Lanczos iteration (8 threads)
Fri Mar 12 22:35:35 2010  memory use: 3683.0 MB
Fri Mar 12 22:35:36 2010  restarting at iteration 1581 (dim = 100047)
Fri Mar 12 22:37:06 2010  linear algebra at 0.9%, ETA 351h53m
Sun Mar 14 00:07:57 2010  
Sun Mar 14 00:07:57 2010  
Sun Mar 14 00:07:57 2010  Msieve v. 1.44
Sun Mar 14 00:07:57 2010  random seeds: 0a304759 6a7ab166
Sun Mar 14 00:07:57 2010  factoring 35368215071869970384226163359901030184810838417972931453854889744264749375180138885100621477675316279765914672761989483937665492713819433948650307686781748781703700492564510303509309235836621986022671507752999005244635455795172339 (230 digits)
Sun Mar 14 00:08:00 2010  searching for 15-digit factors
Sun Mar 14 00:08:01 2010  commencing number field sieve (230-digit input)
Sun Mar 14 00:08:01 2010  R0: -2000000000000000000000000000000000000000
Sun Mar 14 00:08:01 2010  R1:  1
Sun Mar 14 00:08:01 2010  A0: -7
Sun Mar 14 00:08:01 2010  A1:  0
Sun Mar 14 00:08:01 2010  A2:  0
Sun Mar 14 00:08:01 2010  A3:  0
Sun Mar 14 00:08:01 2010  A4:  0
Sun Mar 14 00:08:01 2010  A5:  0
Sun Mar 14 00:08:01 2010  A6:  250
Sun Mar 14 00:08:01 2010  skew 0.55, size 1.026711e-11, alpha -0.217744, combined = 6.515103e-13
Sun Mar 14 00:08:01 2010  
Sun Mar 14 00:08:01 2010  commencing linear algebra
Sun Mar 14 00:08:08 2010  read 10685944 cycles
Sun Mar 14 00:09:17 2010  matrix is 10685766 x 10685944 (3233.5 MB) with weight 949140348 (88.82/col)
Sun Mar 14 00:09:17 2010  sparse part has weight 730103260 (68.32/col)
Sun Mar 14 00:09:18 2010  saving the first 48 matrix rows for later
Sun Mar 14 00:09:24 2010  matrix is 10685718 x 10685944 (3084.5 MB) with weight 755174265 (70.67/col)
Sun Mar 14 00:09:24 2010  sparse part has weight 701714624 (65.67/col)
Sun Mar 14 00:09:24 2010  matrix includes 64 packed rows
Sun Mar 14 00:09:24 2010  using block size 65536 for processor cache size 4096 kB
Sun Mar 14 00:10:24 2010  commencing Lanczos iteration (8 threads)
Sun Mar 14 00:10:24 2010  memory use: 3683.0 MB
Sun Mar 14 00:10:24 2010  restarting at iteration 11070 (dim = 700047)
Sun Mar 14 00:11:54 2010  linear algebra at 6.6%, ETA 331h 4m
Tue Mar 16 21:32:12 2010  lanczos halted after 44740 iterations (dim = 2829085)
Tue Mar 16 21:32:12 2010  BLanczosTime: 249851
Tue Mar 16 21:32:12 2010  elapsed time 69:24:15
Wed Mar 17 10:44:04 2010  
Wed Mar 17 10:44:04 2010  
Wed Mar 17 10:44:04 2010  Msieve v. 1.44
Wed Mar 17 10:44:04 2010  random seeds: ee48a716 2398e4e1
Wed Mar 17 10:44:04 2010  factoring 35368215071869970384226163359901030184810838417972931453854889744264749375180138885100621477675316279765914672761989483937665492713819433948650307686781748781703700492564510303509309235836621986022671507752999005244635455795172339 (230 digits)
Wed Mar 17 10:44:07 2010  searching for 15-digit factors
Wed Mar 17 10:44:07 2010  commencing number field sieve (230-digit input)
Wed Mar 17 10:44:07 2010  R0: -2000000000000000000000000000000000000000
Wed Mar 17 10:44:07 2010  R1:  1
Wed Mar 17 10:44:07 2010  A0: -7
Wed Mar 17 10:44:07 2010  A1:  0
Wed Mar 17 10:44:07 2010  A2:  0
Wed Mar 17 10:44:07 2010  A3:  0
Wed Mar 17 10:44:07 2010  A4:  0
Wed Mar 17 10:44:07 2010  A5:  0
Wed Mar 17 10:44:07 2010  A6:  250
Wed Mar 17 10:44:07 2010  skew 0.55, size 1.026711e-11, alpha -0.217744, combined = 6.515103e-13
Wed Mar 17 10:44:07 2010  
Wed Mar 17 10:44:07 2010  commencing linear algebra
Wed Mar 17 10:44:24 2010  read 10685944 cycles
Wed Mar 17 10:45:41 2010  matrix is 10685766 x 10685944 (3233.5 MB) with weight 949140348 (88.82/col)
Wed Mar 17 10:45:41 2010  sparse part has weight 730103260 (68.32/col)
Wed Mar 17 10:45:42 2010  saving the first 48 matrix rows for later
Wed Mar 17 10:45:48 2010  matrix is 10685718 x 10685944 (3084.5 MB) with weight 755174265 (70.67/col)
Wed Mar 17 10:45:48 2010  sparse part has weight 701714624 (65.67/col)
Wed Mar 17 10:45:48 2010  matrix includes 64 packed rows
Wed Mar 17 10:45:48 2010  using block size 65536 for processor cache size 4096 kB
Wed Mar 17 10:46:48 2010  commencing Lanczos iteration (8 threads)
Wed Mar 17 10:46:48 2010  memory use: 3683.0 MB
Wed Mar 17 10:46:48 2010  restarting at iteration 44740 (dim = 2829085)
Wed Mar 17 10:48:18 2010  linear algebra at 26.5%, ETA 259h47m
Wed Mar 17 23:03:06 2010  lanczos halted after 50684 iterations (dim = 3204984)
Wed Mar 17 23:03:06 2010  BLanczosTime: 44339
Wed Mar 17 23:03:06 2010  elapsed time 12:19:02
Thu Mar 18 11:15:44 2010  
Thu Mar 18 11:15:44 2010  
Thu Mar 18 11:15:44 2010  Msieve v. 1.44
Thu Mar 18 11:15:44 2010  random seeds: 8e82f80b 998cf58d
Thu Mar 18 11:15:44 2010  factoring 35368215071869970384226163359901030184810838417972931453854889744264749375180138885100621477675316279765914672761989483937665492713819433948650307686781748781703700492564510303509309235836621986022671507752999005244635455795172339 (230 digits)
Thu Mar 18 11:15:47 2010  searching for 15-digit factors
Thu Mar 18 11:15:48 2010  commencing number field sieve (230-digit input)
Thu Mar 18 11:15:48 2010  R0: -2000000000000000000000000000000000000000
Thu Mar 18 11:15:48 2010  R1:  1
Thu Mar 18 11:15:48 2010  A0: -7
Thu Mar 18 11:15:48 2010  A1:  0
Thu Mar 18 11:15:48 2010  A2:  0
Thu Mar 18 11:15:48 2010  A3:  0
Thu Mar 18 11:15:48 2010  A4:  0
Thu Mar 18 11:15:48 2010  A5:  0
Thu Mar 18 11:15:48 2010  A6:  250
Thu Mar 18 11:15:48 2010  skew 0.55, size 1.026711e-11, alpha -0.217744, combined = 6.515103e-13
Thu Mar 18 11:15:48 2010  
Thu Mar 18 11:15:48 2010  commencing linear algebra
Thu Mar 18 11:15:54 2010  read 10685944 cycles
Thu Mar 18 11:17:27 2010  matrix is 10685766 x 10685944 (3233.5 MB) with weight 949140348 (88.82/col)
Thu Mar 18 11:17:27 2010  sparse part has weight 730103260 (68.32/col)
Thu Mar 18 11:17:27 2010  saving the first 48 matrix rows for later
Thu Mar 18 11:17:33 2010  matrix is 10685718 x 10685944 (3084.5 MB) with weight 755174265 (70.67/col)
Thu Mar 18 11:17:33 2010  sparse part has weight 701714624 (65.67/col)
Thu Mar 18 11:17:33 2010  matrix includes 64 packed rows
Thu Mar 18 11:17:33 2010  using block size 65536 for processor cache size 4096 kB
Thu Mar 18 11:18:33 2010  commencing Lanczos iteration (8 threads)
Thu Mar 18 11:18:33 2010  memory use: 3683.0 MB
Thu Mar 18 11:18:34 2010  restarting at iteration 50684 (dim = 3204984)
Thu Mar 18 11:20:04 2010  linear algebra at 30.0%, ETA 246h23m
Thu Mar 18 21:43:32 2010  lanczos halted after 55736 iterations (dim = 3524446)
Thu Mar 18 21:43:32 2010  BLanczosTime: 37664
Thu Mar 18 21:43:32 2010  elapsed time 10:27:48
Fri Mar 19 11:36:58 2010  
Fri Mar 19 11:36:58 2010  
Fri Mar 19 11:36:58 2010  Msieve v. 1.44
Fri Mar 19 11:36:58 2010  random seeds: 978f98d3 42bd7e15
Fri Mar 19 11:36:58 2010  factoring 35368215071869970384226163359901030184810838417972931453854889744264749375180138885100621477675316279765914672761989483937665492713819433948650307686781748781703700492564510303509309235836621986022671507752999005244635455795172339 (230 digits)
Fri Mar 19 11:37:01 2010  searching for 15-digit factors
Fri Mar 19 11:37:01 2010  commencing number field sieve (230-digit input)
Fri Mar 19 11:37:02 2010  R0: -2000000000000000000000000000000000000000
Fri Mar 19 11:37:02 2010  R1:  1
Fri Mar 19 11:37:02 2010  A0: -7
Fri Mar 19 11:37:02 2010  A1:  0
Fri Mar 19 11:37:02 2010  A2:  0
Fri Mar 19 11:37:02 2010  A3:  0
Fri Mar 19 11:37:02 2010  A4:  0
Fri Mar 19 11:37:02 2010  A5:  0
Fri Mar 19 11:37:02 2010  A6:  250
Fri Mar 19 11:37:02 2010  skew 0.55, size 1.026711e-11, alpha -0.217744, combined = 6.515103e-13
Fri Mar 19 11:37:02 2010  
Fri Mar 19 11:37:02 2010  commencing linear algebra
Fri Mar 19 11:37:08 2010  read 10685944 cycles
Fri Mar 19 11:38:42 2010  matrix is 10685766 x 10685944 (3233.5 MB) with weight 949140348 (88.82/col)
Fri Mar 19 11:38:42 2010  sparse part has weight 730103260 (68.32/col)
Fri Mar 19 11:38:42 2010  saving the first 48 matrix rows for later
Fri Mar 19 11:38:48 2010  matrix is 10685718 x 10685944 (3084.5 MB) with weight 755174265 (70.67/col)
Fri Mar 19 11:38:48 2010  sparse part has weight 701714624 (65.67/col)
Fri Mar 19 11:38:48 2010  matrix includes 64 packed rows
Fri Mar 19 11:38:48 2010  using block size 65536 for processor cache size 4096 kB
Fri Mar 19 11:39:48 2010  commencing Lanczos iteration (8 threads)
Fri Mar 19 11:39:48 2010  memory use: 3683.0 MB
Fri Mar 19 11:39:49 2010  restarting at iteration 55736 (dim = 3524446)
Fri Mar 19 11:41:16 2010  linear algebra at 33.0%, ETA 227h 6m
Fri Mar 19 21:50:07 2010  lanczos halted after 60775 iterations (dim = 3843120)
Fri Mar 19 21:50:07 2010  BLanczosTime: 36785
Fri Mar 19 21:50:07 2010  elapsed time 10:13:09
Sat Mar 20 05:17:11 2010  
Sat Mar 20 05:17:11 2010  
Sat Mar 20 05:17:11 2010  Msieve v. 1.44
Sat Mar 20 05:17:11 2010  random seeds: 1479d2e1 48dd4404
Sat Mar 20 05:17:11 2010  factoring 35368215071869970384226163359901030184810838417972931453854889744264749375180138885100621477675316279765914672761989483937665492713819433948650307686781748781703700492564510303509309235836621986022671507752999005244635455795172339 (230 digits)
Sat Mar 20 05:17:14 2010  searching for 15-digit factors
Sat Mar 20 05:17:15 2010  commencing number field sieve (230-digit input)
Sat Mar 20 05:17:15 2010  R0: -2000000000000000000000000000000000000000
Sat Mar 20 05:17:15 2010  R1:  1
Sat Mar 20 05:17:15 2010  A0: -7
Sat Mar 20 05:17:15 2010  A1:  0
Sat Mar 20 05:17:15 2010  A2:  0
Sat Mar 20 05:17:15 2010  A3:  0
Sat Mar 20 05:17:15 2010  A4:  0
Sat Mar 20 05:17:15 2010  A5:  0
Sat Mar 20 05:17:15 2010  A6:  250
Sat Mar 20 05:17:15 2010  skew 0.55, size 1.026711e-11, alpha -0.217744, combined = 6.515103e-13
Sat Mar 20 05:17:15 2010  
Sat Mar 20 05:17:15 2010  commencing linear algebra
Sat Mar 20 05:17:21 2010  read 10685944 cycles
Sat Mar 20 05:18:54 2010  matrix is 10685766 x 10685944 (3233.5 MB) with weight 949140348 (88.82/col)
Sat Mar 20 05:18:54 2010  sparse part has weight 730103260 (68.32/col)
Sat Mar 20 05:18:54 2010  saving the first 48 matrix rows for later
Sat Mar 20 05:19:00 2010  matrix is 10685718 x 10685944 (3084.5 MB) with weight 755174265 (70.67/col)
Sat Mar 20 05:19:00 2010  sparse part has weight 701714624 (65.67/col)
Sat Mar 20 05:19:00 2010  matrix includes 64 packed rows
Sat Mar 20 05:19:00 2010  using block size 65536 for processor cache size 4096 kB
Sat Mar 20 05:20:00 2010  commencing Lanczos iteration (8 threads)
Sat Mar 20 05:20:00 2010  memory use: 3683.0 MB
Sat Mar 20 05:20:01 2010  restarting at iteration 60775 (dim = 3843120)
Sat Mar 20 05:21:28 2010  linear algebra at 36.0%, ETA 217h33m
Mon Mar 29 09:03:14 2010  lanczos halted after 168987 iterations (dim = 10685716)
Mon Mar 29 09:03:38 2010  recovered 34 nontrivial dependencies
Mon Mar 29 09:03:38 2010  BLanczosTime: 787583
Mon Mar 29 09:03:38 2010  elapsed time 218:46:27
Mon Mar 29 11:42:03 2010  
Mon Mar 29 11:42:03 2010  
Mon Mar 29 11:42:03 2010  Msieve v. 1.44
Mon Mar 29 11:42:03 2010  random seeds: 96ffd2c1 6939fb96
Mon Mar 29 11:42:03 2010  factoring 35368215071869970384226163359901030184810838417972931453854889744264749375180138885100621477675316279765914672761989483937665492713819433948650307686781748781703700492564510303509309235836621986022671507752999005244635455795172339 (230 digits)
Mon Mar 29 11:42:06 2010  searching for 15-digit factors
Mon Mar 29 11:42:06 2010  commencing number field sieve (230-digit input)
Mon Mar 29 11:42:06 2010  R0: -2000000000000000000000000000000000000000
Mon Mar 29 11:42:06 2010  R1:  1
Mon Mar 29 11:42:06 2010  A0: -7
Mon Mar 29 11:42:06 2010  A1:  0
Mon Mar 29 11:42:06 2010  A2:  0
Mon Mar 29 11:42:06 2010  A3:  0
Mon Mar 29 11:42:06 2010  A4:  0
Mon Mar 29 11:42:06 2010  A5:  0
Mon Mar 29 11:42:06 2010  A6:  250
Mon Mar 29 11:42:06 2010  skew 0.55, size 1.026711e-11, alpha -0.217744, combined = 6.515103e-13
Mon Mar 29 11:42:06 2010  
Mon Mar 29 11:42:06 2010  commencing square root phase
Mon Mar 29 11:42:06 2010  reading relations for dependency 1
Mon Mar 29 11:42:08 2010  read 5342831 cycles
Mon Mar 29 11:42:24 2010  cycles contain 15370834 unique relations
Mon Mar 29 11:47:30 2010  read 15370834 relations
Mon Mar 29 11:49:59 2010  multiplying 15370834 relations
Mon Mar 29 12:40:01 2010  multiply complete, coefficients have about 498.99 million bits
Mon Mar 29 12:40:07 2010  initial square root is modulo 898352251
Mon Mar 29 14:09:09 2010  sqrtTime: 8823
Mon Mar 29 14:09:09 2010  prp107 factor: 45239307117506293525158467696947703371081866313541189632849100582979046978730876229673627227593085923266349
Mon Mar 29 14:09:09 2010  prp123 factor: 781802757942406722337000067607530554554443843569617504633085815197556448207038541435908636283074915712317385779527352132511
Mon Mar 29 14:09:09 2010  elapsed time 02:27:06
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61438118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1320Dmitry DomanovJuly 4, 2009 14:51:44 UTC 2009 年 7 月 4 日 (土) 23 時 51 分 44 秒 (日本時間)
403e62550Dmitry DomanovJuly 11, 2009 20:25:02 UTC 2009 年 7 月 12 日 (日) 5 時 25 分 2 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:43:07 UTC 2009 年 9 月 2 日 (水) 3 時 43 分 7 秒 (日本時間)
5043e61331 / 6439Wataru SakaiOctober 15, 2009 07:54:02 UTC 2009 年 10 月 15 日 (木) 16 時 54 分 2 秒 (日本時間)

16×10238-79

c190

composite cofactor 合成数の残り
2145680592866556409997535985694997319574732920214480357061247632916293854163181389588538081611667449347084182543255973640996940282189888119976966090966455971546853722398426695746834849557537<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61479118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1361Dmitry DomanovJuly 4, 2009 14:51:59 UTC 2009 年 7 月 4 日 (土) 23 時 51 分 59 秒 (日本時間)
403e62530Dmitry DomanovJuly 11, 2009 20:25:17 UTC 2009 年 7 月 12 日 (日) 5 時 25 分 17 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:43:13 UTC 2009 年 9 月 2 日 (水) 3 時 43 分 13 秒 (日本時間)
5043e60--
5511e72685 / 17466yoyo@homeJuly 11, 2010 01:13:10 UTC 2010 年 7 月 11 日 (日) 10 時 13 分 10 秒 (日本時間)

16×10239-79

c115

name 名前Dmitry Domanov
date 日付July 3, 2009 15:02:15 UTC 2009 年 7 月 4 日 (土) 0 時 2 分 15 秒 (日本時間)
composite number 合成数
4633934183029379848911059683421025765683695811198960419440580945122087499442227338278163891999244250812708844890927<115>
prime factors 素因数
1242805601725594914246288145126368484394847860891111<52>
3728607415830210175214413350865767470697342530579606832265121657<64>
factorization results 素因数分解の結果
N=4633934183029379848911059683421025765683695811198960419440580945122087499442227338278163891999244250812708844890927
  ( 115 digits)
Divisors found:
 r1=1242805601725594914246288145126368484394847860891111 (pp52)
 r2=3728607415830210175214413350865767470697342530579606832265121657 (pp64)
Version: Msieve v. 1.41
Total time: 33.30 hours.
Scaled time: 65.56 units (timescale=1.969).
Factorization parameters were as follows:
name: 0024
n: 4633934183029379848911059683421025765683695811198960419440580945122087499442227338278163891999244250812708844890927
skew: 52277.85
# norm 1.53e+016
c5: 49140
c4: 2023517382
c3: -770576692952680
c2: -6669643093844814455
c1: 675255332437029036418800
c0: -3360776601203873812598149827
# alpha -6.82
Y1: 530957486939
Y0: -9883317554939838314860
# Murphy_E 5.71e-010
# M 453967889756118697662348222666525420739985869353770678696114680314130139019054861861552037690994500371427353763936
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 527177 x 527424
Polynomial selection time: 2.72 hours.
Total sieving time: 29.25 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.00 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 33.30 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)

16×10240-79

c211

composite cofactor 合成数の残り
2166004988958189883190393134036989085577139350353818201910584557972751217274085520360072306147358576374538080264992064863981003105920566571983007436016858718965772493609946075188210716467752822204056249398780427<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61176118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1058Dmitry DomanovJuly 4, 2009 14:52:23 UTC 2009 年 7 月 4 日 (土) 23 時 52 分 23 秒 (日本時間)
403e62580Dmitry DomanovJuly 11, 2009 20:25:27 UTC 2009 年 7 月 12 日 (日) 5 時 25 分 27 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:43:19 UTC 2009 年 9 月 2 日 (水) 3 時 43 分 19 秒 (日本時間)
5043e60--
5511e72685 / 17466yoyo@homeJuly 11, 2010 03:51:23 UTC 2010 年 7 月 11 日 (日) 12 時 51 分 23 秒 (日本時間)

16×10241-79

c241

name 名前Robert Backstrom
date 日付January 2, 2010 15:54:44 UTC 2010 年 1 月 3 日 (日) 0 時 54 分 44 秒 (日本時間)
composite number 合成数
1045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281<241>
prime factors 素因数
27033786049800819408245926795520615358719149908036271396619108987<65>
122051692513357047795460444698080453043250398905366859681372244889<66>
316940598147621047292107747704251800926330158032587268989314536704792625367268739179292577795143793534075784267<111>
factorization results 素因数分解の結果
Sieving ~ 600 CPU days + 369 hrs Lanczos with Msieve 1.42

Fri Dec 18 17:34:06 2009  
Fri Dec 18 17:34:06 2009  
Fri Dec 18 17:34:06 2009  Msieve v. 1.42
Fri Dec 18 17:34:06 2009  random seeds: 4cd285f3 07267fd1
Fri Dec 18 17:34:06 2009  factoring 1045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281 (241 digits)
Fri Dec 18 17:34:08 2009  no P-1/P+1/ECM available, skipping
Fri Dec 18 17:34:08 2009  commencing number field sieve (241-digit input)
Fri Dec 18 17:34:08 2009  R0: -20000000000000000000000000000000000000000
Fri Dec 18 17:34:08 2009  R1:  1
Fri Dec 18 17:34:08 2009  A0: -14
Fri Dec 18 17:34:08 2009  A1:  0
Fri Dec 18 17:34:08 2009  A2:  0
Fri Dec 18 17:34:08 2009  A3:  0
Fri Dec 18 17:34:08 2009  A4:  0
Fri Dec 18 17:34:08 2009  A5:  0
Fri Dec 18 17:34:08 2009  A6:  5
Fri Dec 18 17:34:08 2009  skew 1.00, size 6.803165e-12, alpha 0.913323, combined = 4.764368e-13
Fri Dec 18 17:34:08 2009  
Fri Dec 18 17:34:08 2009  commencing relation filtering
Fri Dec 18 17:34:08 2009  estimated available RAM is 7923.9 MB
Fri Dec 18 17:34:08 2009  commencing duplicate removal, pass 1
Fri Dec 18 17:34:59 2009  error -11 reading relation 8477421
Fri Dec 18 17:35:07 2009  error -11 reading relation 10019114
Fri Dec 18 17:35:28 2009  error -11 reading relation 13694505
Fri Dec 18 17:35:47 2009  error -11 reading relation 17193760
Fri Dec 18 17:35:57 2009  error -6 reading relation 18961254
Fri Dec 18 17:36:13 2009  error -11 reading relation 21815839
Fri Dec 18 17:37:19 2009  error -6 reading relation 33500002
Fri Dec 18 17:37:31 2009  error -6 reading relation 35736931
Fri Dec 18 17:37:44 2009  error -11 reading relation 37952091
Fri Dec 18 17:37:46 2009  error -6 reading relation 38316959
Fri Dec 18 17:38:15 2009  error -11 reading relation 43534066
Fri Dec 18 17:38:51 2009  error -11 reading relation 49878595
Fri Dec 18 17:39:17 2009  error -11 reading relation 53870568
Fri Dec 18 17:39:39 2009  error -11 reading relation 57331716
Fri Dec 18 17:39:52 2009  error -11 reading relation 59374886
Fri Dec 18 17:40:23 2009  error -6 reading relation 64081474
Fri Dec 18 17:40:41 2009  error -11 reading relation 67055071
Fri Dec 18 17:42:00 2009  error -11 reading relation 81197834
Fri Dec 18 17:42:22 2009  error -11 reading relation 85095345
Fri Dec 18 17:42:59 2009  error -11 reading relation 88705616
Fri Dec 18 17:43:10 2009  error -11 reading relation 90626272
Fri Dec 18 17:43:17 2009  error -6 reading relation 91804421
Fri Dec 18 17:43:27 2009  error -6 reading relation 93597748
Fri Dec 18 17:43:33 2009  error -11 reading relation 94506855
Fri Dec 18 17:43:33 2009  error -6 reading relation 94506856
Fri Dec 18 17:43:34 2009  error -6 reading relation 94683180
Fri Dec 18 17:43:56 2009  error -11 reading relation 98391644
Fri Dec 18 17:44:05 2009  error -11 reading relation 99905260
Fri Dec 18 17:44:41 2009  error -11 reading relation 106075170
Fri Dec 18 17:44:47 2009  error -11 reading relation 107040787
Fri Dec 18 17:45:40 2009  found 23488388 hash collisions in 115930392 relations
Fri Dec 18 17:45:55 2009  commencing duplicate removal, pass 2
Fri Dec 18 17:47:58 2009  found 23586813 duplicates and 92343579 unique relations
Fri Dec 18 17:47:58 2009  memory use: 660.8 MB
Fri Dec 18 17:47:58 2009  reading ideals above 83951616
Fri Dec 18 17:47:58 2009  commencing singleton removal, initial pass
Fri Dec 18 17:59:12 2009  memory use: 1193.5 MB
Fri Dec 18 17:59:12 2009  reading all ideals from disk
Fri Dec 18 17:59:23 2009  memory use: 1766.4 MB
Fri Dec 18 17:59:33 2009  commencing in-memory singleton removal
Fri Dec 18 17:59:43 2009  begin with 92343579 relations and 80869479 unique ideals
Fri Dec 18 18:01:25 2009  reduce to 56465047 relations and 40981033 ideals in 14 passes
Fri Dec 18 18:01:25 2009  max relations containing the same ideal: 32
Fri Dec 18 18:01:33 2009  reading ideals above 720000
Fri Dec 18 18:01:33 2009  commencing singleton removal, initial pass
Fri Dec 18 18:11:06 2009  memory use: 1065.5 MB
Fri Dec 18 18:11:06 2009  reading all ideals from disk
Fri Dec 18 18:11:23 2009  memory use: 2185.3 MB
Fri Dec 18 18:11:39 2009  keeping 50453660 ideals with weight <= 200, target excess is 296998
Fri Dec 18 18:11:54 2009  commencing in-memory singleton removal
Fri Dec 18 18:12:09 2009  begin with 56465047 relations and 50453660 unique ideals
Fri Dec 18 18:13:47 2009  reduce to 56459562 relations and 50448175 ideals in 7 passes
Fri Dec 18 18:13:47 2009  max relations containing the same ideal: 200
Fri Dec 18 18:14:45 2009  removing 3121457 relations and 2721457 ideals in 400000 cliques
Fri Dec 18 18:14:47 2009  commencing in-memory singleton removal
Fri Dec 18 18:15:01 2009  begin with 53338105 relations and 50448175 unique ideals
Fri Dec 18 18:16:47 2009  reduce to 53236552 relations and 47624234 ideals in 8 passes
Fri Dec 18 18:16:47 2009  max relations containing the same ideal: 198
Fri Dec 18 18:17:42 2009  removing 2310414 relations and 1910414 ideals in 400000 cliques
Fri Dec 18 18:17:43 2009  commencing in-memory singleton removal
Fri Dec 18 18:17:57 2009  begin with 50926138 relations and 47624234 unique ideals
Fri Dec 18 18:19:26 2009  reduce to 50863357 relations and 45650545 ideals in 7 passes
Fri Dec 18 18:19:26 2009  max relations containing the same ideal: 194
Fri Dec 18 18:20:18 2009  removing 2052669 relations and 1652669 ideals in 400000 cliques
Fri Dec 18 18:20:19 2009  commencing in-memory singleton removal
Fri Dec 18 18:20:32 2009  begin with 48810688 relations and 45650545 unique ideals
Fri Dec 18 18:21:57 2009  reduce to 48758720 relations and 43945532 ideals in 7 passes
Fri Dec 18 18:21:57 2009  max relations containing the same ideal: 188
Fri Dec 18 18:22:47 2009  removing 1901761 relations and 1501761 ideals in 400000 cliques
Fri Dec 18 18:22:48 2009  commencing in-memory singleton removal
Fri Dec 18 18:23:00 2009  begin with 46856959 relations and 43945532 unique ideals
Fri Dec 18 18:24:10 2009  reduce to 46810047 relations and 42396531 ideals in 6 passes
Fri Dec 18 18:24:10 2009  max relations containing the same ideal: 184
Fri Dec 18 18:24:58 2009  removing 1795544 relations and 1395544 ideals in 400000 cliques
Fri Dec 18 18:25:00 2009  commencing in-memory singleton removal
Fri Dec 18 18:25:11 2009  begin with 45014503 relations and 42396531 unique ideals
Fri Dec 18 18:26:19 2009  reduce to 44968942 relations and 40955072 ideals in 6 passes
Fri Dec 18 18:26:19 2009  max relations containing the same ideal: 180
Fri Dec 18 18:27:04 2009  removing 1724843 relations and 1324843 ideals in 400000 cliques
Fri Dec 18 18:27:06 2009  commencing in-memory singleton removal
Fri Dec 18 18:27:17 2009  begin with 43244099 relations and 40955072 unique ideals
Fri Dec 18 18:28:21 2009  reduce to 43201520 relations and 39587327 ideals in 6 passes
Fri Dec 18 18:28:21 2009  max relations containing the same ideal: 175
Fri Dec 18 18:29:05 2009  removing 1664899 relations and 1264899 ideals in 400000 cliques
Fri Dec 18 18:29:06 2009  commencing in-memory singleton removal
Fri Dec 18 18:29:17 2009  begin with 41536621 relations and 39587327 unique ideals
Fri Dec 18 18:30:19 2009  reduce to 41493530 relations and 38279003 ideals in 6 passes
Fri Dec 18 18:30:19 2009  max relations containing the same ideal: 171
Fri Dec 18 18:31:01 2009  removing 1621676 relations and 1221676 ideals in 400000 cliques
Fri Dec 18 18:31:02 2009  commencing in-memory singleton removal
Fri Dec 18 18:31:13 2009  begin with 39871854 relations and 38279003 unique ideals
Fri Dec 18 18:32:02 2009  reduce to 39832169 relations and 37017308 ideals in 5 passes
Fri Dec 18 18:32:02 2009  max relations containing the same ideal: 165
Fri Dec 18 18:32:42 2009  removing 1578286 relations and 1178286 ideals in 400000 cliques
Fri Dec 18 18:32:44 2009  commencing in-memory singleton removal
Fri Dec 18 18:32:53 2009  begin with 38253883 relations and 37017308 unique ideals
Fri Dec 18 18:33:50 2009  reduce to 38212562 relations and 35797334 ideals in 6 passes
Fri Dec 18 18:33:50 2009  max relations containing the same ideal: 160
Fri Dec 18 18:34:29 2009  removing 1553938 relations and 1153938 ideals in 400000 cliques
Fri Dec 18 18:34:30 2009  commencing in-memory singleton removal
Fri Dec 18 18:34:39 2009  begin with 36658624 relations and 35797334 unique ideals
Fri Dec 18 18:35:25 2009  reduce to 36616917 relations and 34601335 ideals in 5 passes
Fri Dec 18 18:35:25 2009  max relations containing the same ideal: 157
Fri Dec 18 18:36:02 2009  removing 1520962 relations and 1120962 ideals in 400000 cliques
Fri Dec 18 18:36:03 2009  commencing in-memory singleton removal
Fri Dec 18 18:36:12 2009  begin with 35095955 relations and 34601335 unique ideals
Fri Dec 18 18:37:04 2009  reduce to 35051904 relations and 33435890 ideals in 6 passes
Fri Dec 18 18:37:04 2009  max relations containing the same ideal: 152
Fri Dec 18 18:37:39 2009  removing 1498950 relations and 1098950 ideals in 400000 cliques
Fri Dec 18 18:37:41 2009  commencing in-memory singleton removal
Fri Dec 18 18:37:49 2009  begin with 33552954 relations and 33435890 unique ideals
Fri Dec 18 18:38:31 2009  reduce to 33506466 relations and 32289928 ideals in 5 passes
Fri Dec 18 18:38:31 2009  max relations containing the same ideal: 150
Fri Dec 18 18:39:05 2009  removing 1483302 relations and 1083302 ideals in 400000 cliques
Fri Dec 18 18:39:06 2009  commencing in-memory singleton removal
Fri Dec 18 18:39:14 2009  begin with 32023164 relations and 32289928 unique ideals
Fri Dec 18 18:40:01 2009  reduce to 31975074 relations and 31157995 ideals in 6 passes
Fri Dec 18 18:40:01 2009  max relations containing the same ideal: 147
Fri Dec 18 18:40:33 2009  removing 1472759 relations and 1072759 ideals in 400000 cliques
Fri Dec 18 18:40:34 2009  commencing in-memory singleton removal
Fri Dec 18 18:40:42 2009  begin with 30502315 relations and 31157995 unique ideals
Fri Dec 18 18:41:27 2009  reduce to 30452769 relations and 30035065 ideals in 6 passes
Fri Dec 18 18:41:27 2009  max relations containing the same ideal: 144
Fri Dec 18 18:41:58 2009  removing 356807 relations and 283621 ideals in 73186 cliques
Fri Dec 18 18:41:59 2009  commencing in-memory singleton removal
Fri Dec 18 18:42:07 2009  begin with 30095962 relations and 30035065 unique ideals
Fri Dec 18 18:42:43 2009  reduce to 30093608 relations and 29749088 ideals in 5 passes
Fri Dec 18 18:42:43 2009  max relations containing the same ideal: 142
Fri Dec 18 18:42:58 2009  relations with 0 large ideals: 11238
Fri Dec 18 18:42:58 2009  relations with 1 large ideals: 1811
Fri Dec 18 18:42:58 2009  relations with 2 large ideals: 19579
Fri Dec 18 18:42:58 2009  relations with 3 large ideals: 180682
Fri Dec 18 18:42:58 2009  relations with 4 large ideals: 941191
Fri Dec 18 18:42:58 2009  relations with 5 large ideals: 3011032
Fri Dec 18 18:42:58 2009  relations with 6 large ideals: 6116709
Fri Dec 18 18:42:58 2009  relations with 7+ large ideals: 19811366
Fri Dec 18 18:42:58 2009  commencing 2-way merge
Fri Dec 18 18:43:41 2009  reduce to 21423559 relation sets and 21079039 unique ideals
Fri Dec 18 18:43:41 2009  commencing full merge
Fri Dec 18 18:52:38 2009  memory use: 2548.1 MB
Fri Dec 18 18:52:42 2009  found 11398480 cycles, need 11351239
Fri Dec 18 18:52:48 2009  weight of 11351239 cycles is about 794697939 (70.01/cycle)
Fri Dec 18 18:52:48 2009  distribution of cycle lengths:
Fri Dec 18 18:52:48 2009  1 relations: 1074355
Fri Dec 18 18:52:48 2009  2 relations: 1450886
Fri Dec 18 18:52:48 2009  3 relations: 1530459
Fri Dec 18 18:52:48 2009  4 relations: 1417248
Fri Dec 18 18:52:48 2009  5 relations: 1280130
Fri Dec 18 18:52:48 2009  6 relations: 1094340
Fri Dec 18 18:52:48 2009  7 relations: 914395
Fri Dec 18 18:52:48 2009  8 relations: 734026
Fri Dec 18 18:52:48 2009  9 relations: 566790
Fri Dec 18 18:52:48 2009  10+ relations: 1288610
Fri Dec 18 18:52:48 2009  heaviest cycle: 20 relations
Fri Dec 18 18:52:53 2009  commencing cycle optimization
Fri Dec 18 18:53:20 2009  start with 59604889 relations
Fri Dec 18 18:55:30 2009  pruned 1700278 relations
Fri Dec 18 18:55:30 2009  memory use: 1883.7 MB
Fri Dec 18 18:55:31 2009  distribution of cycle lengths:
Fri Dec 18 18:55:31 2009  1 relations: 1074355
Fri Dec 18 18:55:31 2009  2 relations: 1483238
Fri Dec 18 18:55:31 2009  3 relations: 1593208
Fri Dec 18 18:55:31 2009  4 relations: 1458615
Fri Dec 18 18:55:31 2009  5 relations: 1317151
Fri Dec 18 18:55:31 2009  6 relations: 1112619
Fri Dec 18 18:55:31 2009  7 relations: 922096
Fri Dec 18 18:55:31 2009  8 relations: 725995
Fri Dec 18 18:55:31 2009  9 relations: 549911
Fri Dec 18 18:55:31 2009  10+ relations: 1114051
Fri Dec 18 18:55:31 2009  heaviest cycle: 20 relations
Fri Dec 18 18:55:55 2009  RelProcTime: 4907
Fri Dec 18 18:55:55 2009  
Fri Dec 18 18:55:55 2009  commencing linear algebra
Fri Dec 18 18:56:05 2009  read 11351239 cycles
Fri Dec 18 18:56:27 2009  cycles contain 29955625 unique relations
Fri Dec 18 18:59:45 2009  read 29955625 relations
Fri Dec 18 19:00:46 2009  using 20 quadratic characters above 1073741312
Fri Dec 18 19:03:16 2009  building initial matrix
Fri Dec 18 19:10:23 2009  memory use: 3960.3 MB
Fri Dec 18 19:10:29 2009  read 11351239 cycles
Fri Dec 18 19:10:50 2009  matrix is 11351062 x 11351239 (3358.7 MB) with weight 994378415 (87.60/col)
Fri Dec 18 19:10:50 2009  sparse part has weight 766955413 (67.57/col)
Fri Dec 18 19:13:31 2009  filtering completed in 2 passes
Fri Dec 18 19:13:34 2009  matrix is 11350329 x 11350506 (3358.7 MB) with weight 994360249 (87.60/col)
Fri Dec 18 19:13:34 2009  sparse part has weight 766951701 (67.57/col)
Fri Dec 18 19:14:34 2009  read 11350506 cycles
Fri Dec 18 19:14:40 2009  matrix is 11350329 x 11350506 (3358.7 MB) with weight 994360249 (87.60/col)
Fri Dec 18 19:14:40 2009  sparse part has weight 766951701 (67.57/col)
Fri Dec 18 19:14:40 2009  saving the first 48 matrix rows for later
Fri Dec 18 19:14:45 2009  matrix is 11350281 x 11350506 (3247.5 MB) with weight 785399733 (69.20/col)
Fri Dec 18 19:14:45 2009  sparse part has weight 737805882 (65.00/col)
Fri Dec 18 19:14:45 2009  matrix includes 64 packed rows
Fri Dec 18 19:14:45 2009  using block size 65536 for processor cache size 6144 kB
Fri Dec 18 19:15:30 2009  commencing Lanczos iteration (4 threads)
Fri Dec 18 19:15:30 2009  memory use: 3541.8 MB
Sat Jan  2 16:37:56 2010  lanczos halted after 179493 iterations (dim = 11350281)
Sat Jan  2 16:38:14 2010  recovered 35 nontrivial dependencies
Sat Jan  2 16:38:15 2010  BLanczosTime: 1287740
Sat Jan  2 16:38:15 2010  
Sat Jan  2 16:38:15 2010  commencing square root phase
Sat Jan  2 16:38:15 2010  reading relations for dependency 1
Sat Jan  2 16:38:17 2010  read 5676999 cycles
Sat Jan  2 16:38:29 2010  cycles contain 18817862 unique relations
Sat Jan  2 16:40:55 2010  read 18817862 relations
Sat Jan  2 16:42:57 2010  multiplying 14978358 relations
Sat Jan  2 17:22:17 2010  multiply complete, coefficients have about 411.80 million bits
Sat Jan  2 17:22:20 2010  initial square root is modulo 24493387
Sat Jan  2 18:17:29 2010  reading relations for dependency 2
Sat Jan  2 18:17:31 2010  read 5677402 cycles
Sat Jan  2 18:17:43 2010  cycles contain 18816973 unique relations
Sat Jan  2 18:20:04 2010  read 18816973 relations
Sat Jan  2 18:22:06 2010  multiplying 14980752 relations
Sat Jan  2 19:01:25 2010  multiply complete, coefficients have about 411.87 million bits
Sat Jan  2 19:01:29 2010  initial square root is modulo 24558943
Sat Jan  2 19:56:35 2010  reading relations for dependency 3
Sat Jan  2 19:56:38 2010  read 5677929 cycles
Sat Jan  2 19:56:49 2010  cycles contain 18821126 unique relations
Sat Jan  2 19:59:11 2010  read 18821126 relations
Sat Jan  2 20:01:13 2010  multiplying 14982624 relations
Sat Jan  2 20:40:33 2010  multiply complete, coefficients have about 411.92 million bits
Sat Jan  2 20:40:37 2010  initial square root is modulo 24615379
Sat Jan  2 21:35:43 2010  reading relations for dependency 4
Sat Jan  2 21:35:46 2010  read 5674401 cycles
Sat Jan  2 21:35:57 2010  cycles contain 18816042 unique relations
Sat Jan  2 21:38:19 2010  read 18816042 relations
Sat Jan  2 21:40:21 2010  multiplying 14978142 relations
Sat Jan  2 22:19:40 2010  multiply complete, coefficients have about 411.81 million bits
Sat Jan  2 22:19:44 2010  initial square root is modulo 24497647
Sat Jan  2 23:14:48 2010  reading relations for dependency 5
Sat Jan  2 23:14:51 2010  read 5674639 cycles
Sat Jan  2 23:15:02 2010  cycles contain 18813471 unique relations
Sat Jan  2 23:17:24 2010  read 18813471 relations
Sat Jan  2 23:19:26 2010  multiplying 14976158 relations
Sat Jan  2 23:58:45 2010  multiply complete, coefficients have about 411.75 million bits
Sat Jan  2 23:58:49 2010  initial square root is modulo 24440041
Sun Jan  3 00:53:53 2010  reading relations for dependency 6
Sun Jan  3 00:53:56 2010  read 5673309 cycles
Sun Jan  3 00:54:07 2010  cycles contain 18813891 unique relations
Sun Jan  3 00:56:29 2010  read 18813891 relations
Sun Jan  3 00:58:31 2010  multiplying 14979628 relations
Sun Jan  3 01:37:51 2010  multiply complete, coefficients have about 411.83 million bits
Sun Jan  3 01:37:55 2010  initial square root is modulo 24523003
Sun Jan  3 02:33:01 2010  sqrtTime: 35686
Sun Jan  3 02:33:01 2010  prp65 factor: 27033786049800819408245926795520615358719149908036271396619108987
Sun Jan  3 02:33:01 2010  prp66 factor: 122051692513357047795460444698080453043250398905366859681372244889
Sun Jan  3 02:33:01 2010  prp111 factor: 316940598147621047292107747704251800926330158032587268989314536704792625367268739179292577795143793534075784267
Sun Jan  3 02:33:01 2010  elapsed time 368:58:55

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61225118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1107Dmitry DomanovJuly 4, 2009 14:52:33 UTC 2009 年 7 月 4 日 (土) 23 時 52 分 33 秒 (日本時間)
403e62500Dmitry DomanovJuly 11, 2009 20:26:10 UTC 2009 年 7 月 12 日 (日) 5 時 26 分 10 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:43:25 UTC 2009 年 9 月 2 日 (水) 3 時 43 分 25 秒 (日本時間)

16×10242-79

c213

name 名前Dmitry Domanov
date 日付July 5, 2009 20:47:07 UTC 2009 年 7 月 6 日 (月) 5 時 47 分 7 秒 (日本時間)
composite number 合成数
710561978448697295470178062615087982104591461557313809311723143563705129215445721455925366850497858383800455972552559629945768910825385700877895833816943839984971057996323111412738117936719226031694895998607890879<213>
prime factors 素因数
199420903525207265891662998119875755307<39>
composite cofactor 合成数の残り
3563126863272287848309474508421502859292999903007398926700694144385671714094680930698204166079585664849282637049457051242987232608454018562371651837455217182196840947072062397<175>
factorization results 素因数分解の結果
C213=P39*C175
C213=199420903525207265891662998119875755307<39>*3563126863272287848309474508421502859292999903007398926700694144385671714094680930698204166079585664849282637049457051242987232608454018562371651837455217182196840947072062397<175>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61176118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1058Dmitry DomanovJuly 4, 2009 14:53:12 UTC 2009 年 7 月 4 日 (土) 23 時 53 分 12 秒 (日本時間)
403e62500Dmitry DomanovJuly 11, 2009 20:26:03 UTC 2009 年 7 月 12 日 (日) 5 時 26 分 3 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:43:32 UTC 2009 年 9 月 2 日 (水) 3 時 43 分 32 秒 (日本時間)
5043e6700100Dmitry DomanovSeptember 18, 2009 20:41:31 UTC 2009 年 9 月 19 日 (土) 5 時 41 分 31 秒 (日本時間)
600Dmitry DomanovOctober 25, 2009 09:30:20 UTC 2009 年 10 月 25 日 (日) 18 時 30 分 20 秒 (日本時間)
5511e72436 / 172172395yoyo@homeJuly 11, 2010 06:27:09 UTC 2010 年 7 月 11 日 (日) 15 時 27 分 9 秒 (日本時間)
41KTakahashiMay 23, 2014 21:10:06 UTC 2014 年 5 月 24 日 (土) 6 時 10 分 6 秒 (日本時間)

16×10244-79

c211

name 名前Dmitry Domanov
date 日付August 24, 2009 19:35:16 UTC 2009 年 8 月 25 日 (火) 4 時 35 分 16 秒 (日本時間)
composite number 合成数
3495976451080493931930477141735285766452019885633910127319847410817767018195691566518600290408090386032998838252296631840171224209939623565286727335315466764387851674027123996327713815109099921629350918492669007<211>
prime factors 素因数
18626347316752091887613730912259192759279958920129<50>
187689856289552606645258672395266771629129914562572777562468039096119103199366120307762823572047220965155854278003711101806936593196982626950879534048742843552783<162>
factorization results 素因数分解の結果
C211=P50*P162
C211=18626347316752091887613730912259192759279958920129<50>*187689856289552606645258672395266771629129914562572777562468039096119103199366120307762823572047220965155854278003711101806936593196982626950879534048742843552783<162>
Method=ECM  B1=11000000  Sigma=1786901496
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61218118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1100Dmitry DomanovJuly 4, 2009 14:53:24 UTC 2009 年 7 月 4 日 (土) 23 時 53 分 24 秒 (日本時間)
403e62530Dmitry DomanovJuly 11, 2009 20:25:56 UTC 2009 年 7 月 12 日 (日) 5 時 25 分 56 秒 (日本時間)

16×10245-79

c227

composite cofactor 合成数の残り
14387124226171400517972404147483979421184033686975709835292057727746758259643887562640799462550635415939404240348122864282496822904124038973667070274110193583889860506097008340876036332635600270766329301733082782630435043134109<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61167118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1049Dmitry DomanovJuly 4, 2009 14:53:41 UTC 2009 年 7 月 4 日 (土) 23 時 53 分 41 秒 (日本時間)
403e62706Dmitry DomanovJuly 11, 2009 20:26:51 UTC 2009 年 7 月 12 日 (日) 5 時 26 分 51 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:43:38 UTC 2009 年 9 月 2 日 (水) 3 時 43 分 38 秒 (日本時間)
5043e60--
5511e72684 / 174652680yoyo@homeJuly 22, 2010 17:25:41 UTC 2010 年 7 月 23 日 (金) 2 時 25 分 41 秒 (日本時間)
4KTakahashiMarch 23, 2014 08:16:11 UTC 2014 年 3 月 23 日 (日) 17 時 16 分 11 秒 (日本時間)

16×10246-79

c243

name 名前RSALS + Jeff Gilchrist
date 日付March 18, 2010 10:01:33 UTC 2010 年 3 月 18 日 (木) 19 時 1 分 33 秒 (日本時間)
composite number 合成数
803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229<243>
prime factors 素因数
2435468240118378272873228683007545771982934505635701511939709817537210703337905556556201195493087929267549399939<112>
329847797718739151507532688618951927977905331529639648113533990518474728055639086395696863199836104478222195587283857696449248366111<132>
factorization results 素因数分解の結果
<sieving on the RSALS grid>

<filtering + linear algebra + square root by Jeff Gilchrist>
Fri Feb 05 05:36:56 2010  
Fri Feb 05 05:36:56 2010  
Fri Feb 05 05:36:56 2010  Msieve v. 1.43
Fri Feb 05 05:36:56 2010  random seeds: 3124b940 015a42ea
Fri Feb 05 05:36:56 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Fri Feb 05 05:36:58 2010  searching for 15-digit factors
Fri Feb 05 05:36:58 2010  commencing number field sieve (243-digit input)
Fri Feb 05 05:36:58 2010  R0: -100000000000000000000000000000000000000000
Fri Feb 05 05:36:58 2010  R1:  1
Fri Feb 05 05:36:58 2010  A0: -7
Fri Feb 05 05:36:58 2010  A1:  0
Fri Feb 05 05:36:58 2010  A2:  0
Fri Feb 05 05:36:58 2010  A3:  0
Fri Feb 05 05:36:58 2010  A4:  0
Fri Feb 05 05:36:58 2010  A5:  0
Fri Feb 05 05:36:58 2010  A6:  16
Fri Feb 05 05:36:58 2010  skew 0.87, size 3.733980e-012, alpha 1.013889, combined = 3.095226e-013
Fri Feb 05 05:36:58 2010  
Fri Feb 05 05:36:58 2010  commencing relation filtering
Fri Feb 05 05:36:58 2010  estimated available RAM is 8191.1 MB
Fri Feb 05 05:36:58 2010  commencing duplicate removal, pass 1
Fri Feb 05 05:36:59 2010  error -15 reading relation 53910
Fri Feb 05 05:37:07 2010  error -15 reading relation 1396558
Fri Feb 05 05:37:14 2010  error -6 reading relation 2424878
Fri Feb 05 05:37:19 2010  error -15 reading relation 3333504
Fri Feb 05 05:37:22 2010  error -15 reading relation 3749809
Fri Feb 05 05:37:25 2010  error -9 reading relation 4237545
Fri Feb 05 05:37:25 2010  error -15 reading relation 4258716
Fri Feb 05 05:37:28 2010  error -15 reading relation 4666501
Fri Feb 05 05:37:28 2010  error -9 reading relation 4667120
Fri Feb 05 05:37:29 2010  error -9 reading relation 4861674
Fri Feb 05 05:37:29 2010  error -15 reading relation 4862158
Fri Feb 05 05:37:29 2010  error -9 reading relation 4863198
Fri Feb 05 05:37:29 2010  error -15 reading relation 4867815
Fri Feb 05 05:37:33 2010  error -5 reading relation 5536197
Fri Feb 05 05:37:34 2010  error -6 reading relation 5688002
Fri Feb 05 05:37:34 2010  error -9 reading relation 5696376
Fri Feb 05 05:37:34 2010  error -9 reading relation 5698355
Fri Feb 05 05:37:34 2010  error -15 reading relation 5700312
Fri Feb 05 05:37:34 2010  error -9 reading relation 5702533
Fri Feb 05 05:37:36 2010  error -9 reading relation 5993145
Fri Feb 05 05:37:36 2010  error -15 reading relation 5994112
Fri Feb 05 05:37:36 2010  error -15 reading relation 5996026
Fri Feb 05 05:37:37 2010  error -9 reading relation 6220333
Fri Feb 05 05:37:37 2010  error -9 reading relation 6225583
Fri Feb 05 05:37:40 2010  error -9 reading relation 6573537
Fri Feb 05 05:37:42 2010  error -9 reading relation 6937960
Fri Feb 05 05:37:43 2010  error -9 reading relation 7169219
Fri Feb 05 05:37:46 2010  error -9 reading relation 7549577
Fri Feb 05 05:37:46 2010  error -9 reading relation 7623807
Fri Feb 05 05:37:47 2010  error -5 reading relation 7667684
Fri Feb 05 05:37:47 2010  error -9 reading relation 7831845
Fri Feb 05 05:37:47 2010  error -15 reading relation 7832108
Fri Feb 05 05:37:48 2010  error -15 reading relation 7872556
Fri Feb 05 05:37:54 2010  error -15 reading relation 8965160
Fri Feb 05 05:37:56 2010  error -9 reading relation 9200342
Fri Feb 05 05:37:56 2010  error -11 reading relation 9230655
Fri Feb 05 05:38:00 2010  error -9 reading relation 9949825
Fri Feb 05 05:38:02 2010  error -11 reading relation 10294123
Fri Feb 05 05:38:06 2010  error -9 reading relation 10900248
Fri Feb 05 05:38:09 2010  error -15 reading relation 11468632
Fri Feb 05 05:38:13 2010  error -11 reading relation 12163196
Fri Feb 05 05:38:17 2010  error -6 reading relation 12778558
Fri Feb 05 05:38:23 2010  error -11 reading relation 13662511
Fri Feb 05 05:38:24 2010  error -15 reading relation 13881372
Fri Feb 05 05:38:28 2010  error -11 reading relation 14589807
Fri Feb 05 05:38:32 2010  error -6 reading relation 15117506
Fri Feb 05 05:38:36 2010  error -9 reading relation 15693515
Fri Feb 05 05:38:38 2010  error -9 reading relation 16176399
Fri Feb 05 05:38:39 2010  error -15 reading relation 16224307
Fri Feb 05 05:38:40 2010  error -15 reading relation 16366284
Fri Feb 05 05:38:42 2010  error -15 reading relation 16640431
Fri Feb 05 05:38:42 2010  error -9 reading relation 16687525
Fri Feb 05 05:38:42 2010  error -15 reading relation 16742253
Fri Feb 05 05:38:42 2010  error -9 reading relation 16742361
Fri Feb 05 05:38:42 2010  error -11 reading relation 16781389
Fri Feb 05 05:38:54 2010  error -11 reading relation 18505925
Fri Feb 05 05:38:58 2010  error -9 reading relation 19202911
Fri Feb 05 05:39:00 2010  error -15 reading relation 19440536
Fri Feb 05 05:39:02 2010  error -9 reading relation 19851459
Fri Feb 05 05:39:03 2010  error -15 reading relation 19972544
Fri Feb 05 05:39:07 2010  error -15 reading relation 20549466
Fri Feb 05 05:39:07 2010  error -15 reading relation 20574603
Fri Feb 05 05:39:07 2010  error -9 reading relation 20585681
Fri Feb 05 05:39:07 2010  error -1 reading relation 20696521
Fri Feb 05 05:39:12 2010  error -6 reading relation 21344800
Fri Feb 05 05:39:14 2010  error -15 reading relation 21675746
Fri Feb 05 05:39:14 2010  error -9 reading relation 21688002
Fri Feb 05 05:39:16 2010  error -9 reading relation 22142632
Fri Feb 05 05:39:16 2010  error -15 reading relation 22142762
Fri Feb 05 05:39:17 2010  error -1 reading relation 22217286
Fri Feb 05 05:39:18 2010  error -15 reading relation 22528010
Fri Feb 05 05:39:20 2010  error -15 reading relation 22827134
Fri Feb 05 05:39:22 2010  error -9 reading relation 23107465
Fri Feb 05 05:39:24 2010  error -1 reading relation 23449287
Fri Feb 05 05:39:25 2010  error -11 reading relation 23589254
Fri Feb 05 05:39:31 2010  error -15 reading relation 24660614
Fri Feb 05 05:39:34 2010  error -11 reading relation 25052174
Fri Feb 05 05:39:34 2010  error -11 reading relation 25052179
Fri Feb 05 05:39:37 2010  error -6 reading relation 25618108
Fri Feb 05 05:39:38 2010  error -15 reading relation 25797236
Fri Feb 05 05:39:41 2010  error -11 reading relation 26167149
Fri Feb 05 05:39:42 2010  error -11 reading relation 26477571
Fri Feb 05 05:39:45 2010  error -15 reading relation 26764222
Fri Feb 05 05:39:45 2010  error -15 reading relation 26766833
Fri Feb 05 05:39:48 2010  error -6 reading relation 27217319
Fri Feb 05 05:40:04 2010  error -11 reading relation 29707078
Fri Feb 05 05:40:04 2010  error -6 reading relation 29707080
Fri Feb 05 05:40:08 2010  error -15 reading relation 30423635
Fri Feb 05 05:40:13 2010  error -15 reading relation 31241796
Fri Feb 05 05:40:17 2010  error -9 reading relation 31837677
Fri Feb 05 05:40:17 2010  error -11 reading relation 31858532
Fri Feb 05 05:40:21 2010  error -11 reading relation 32518739
Fri Feb 05 05:40:23 2010  error -6 reading relation 32738274
Fri Feb 05 05:40:25 2010  error -11 reading relation 33001200
Fri Feb 05 05:40:27 2010  error -9 reading relation 33368477
Fri Feb 05 05:40:27 2010  error -15 reading relation 33430410
Fri Feb 05 05:40:28 2010  error -9 reading relation 33625539
Fri Feb 05 05:40:33 2010  error -11 reading relation 34374259
Fri Feb 05 05:40:34 2010  error -9 reading relation 34488116
Fri Feb 05 05:40:35 2010  error -1 reading relation 34730587
Fri Feb 05 05:40:35 2010  error -11 reading relation 34733859
Fri Feb 05 05:40:35 2010  error -6 reading relation 34748809
Fri Feb 05 05:40:37 2010  error -6 reading relation 34953331
Fri Feb 05 05:40:37 2010  error -9 reading relation 34988565
Fri Feb 05 05:40:40 2010  error -11 reading relation 35552553
Fri Feb 05 05:40:44 2010  error -9 reading relation 36107916
Fri Feb 05 05:40:44 2010  error -9 reading relation 36111924
Fri Feb 05 05:40:45 2010  error -6 reading relation 36250684
Fri Feb 05 05:40:46 2010  error -11 reading relation 36488929
Fri Feb 05 05:40:46 2010  error -6 reading relation 36488941
Fri Feb 05 05:40:49 2010  error -15 reading relation 36911218
Fri Feb 05 05:40:49 2010  error -15 reading relation 36944487
Fri Feb 05 05:40:50 2010  error -9 reading relation 37088410
Fri Feb 05 05:40:51 2010  error -9 reading relation 37180868
Fri Feb 05 05:40:53 2010  error -5 reading relation 37591801
Fri Feb 05 05:40:54 2010  error -9 reading relation 37687668
Fri Feb 05 05:40:55 2010  error -6 reading relation 37769018
Fri Feb 05 05:40:55 2010  error -11 reading relation 37883363
Fri Feb 05 05:40:57 2010  error -11 reading relation 38117107
Fri Feb 05 05:41:05 2010  error -6 reading relation 39453359
Fri Feb 05 05:41:07 2010  error -9 reading relation 39837083
Fri Feb 05 05:41:10 2010  error -11 reading relation 40280736
Fri Feb 05 05:41:15 2010  error -15 reading relation 40904103
Fri Feb 05 05:41:17 2010  error -11 reading relation 41195044
Fri Feb 05 05:41:22 2010  error -6 reading relation 42090167
Fri Feb 05 05:41:26 2010  error -15 reading relation 42670402
Fri Feb 05 05:41:28 2010  error -15 reading relation 42956979
Fri Feb 05 05:41:28 2010  error -11 reading relation 43082579
Fri Feb 05 05:41:33 2010  error -9 reading relation 43848674
Fri Feb 05 05:41:33 2010  error -9 reading relation 43858586
Fri Feb 05 05:41:33 2010  error -9 reading relation 43873320
Fri Feb 05 05:41:34 2010  error -9 reading relation 43967106
Fri Feb 05 05:41:34 2010  error -15 reading relation 43985615
Fri Feb 05 05:41:34 2010  error -15 reading relation 44068859
Fri Feb 05 05:41:35 2010  error -15 reading relation 44259054
Fri Feb 05 05:41:40 2010  error -9 reading relation 44958546
Fri Feb 05 05:41:41 2010  error -11 reading relation 45222962
Fri Feb 05 05:41:44 2010  error -1 reading relation 45766240
Fri Feb 05 05:41:51 2010  error -11 reading relation 46825559
Fri Feb 05 05:41:53 2010  error -15 reading relation 47172494
Fri Feb 05 05:42:05 2010  error -6 reading relation 49266099
Fri Feb 05 05:42:14 2010  error -6 reading relation 50732509
Fri Feb 05 05:42:17 2010  error -1 reading relation 51297532
Fri Feb 05 05:42:20 2010  error -15 reading relation 51663777
Fri Feb 05 05:42:25 2010  error -9 reading relation 52527502
Fri Feb 05 05:42:25 2010  error -9 reading relation 52531443
Fri Feb 05 05:42:25 2010  error -9 reading relation 52603107
Fri Feb 05 05:42:26 2010  error -15 reading relation 52665736
Fri Feb 05 05:42:26 2010  error -15 reading relation 52754708
Fri Feb 05 05:42:26 2010  error -9 reading relation 52768174
Fri Feb 05 05:42:33 2010  error -11 reading relation 53957895
Fri Feb 05 05:42:36 2010  error -5 reading relation 54446449
Fri Feb 05 05:42:40 2010  error -6 reading relation 55088668
Fri Feb 05 05:42:41 2010  error -6 reading relation 55259068
Fri Feb 05 05:42:41 2010  error -11 reading relation 55259069
Fri Feb 05 05:42:43 2010  error -15 reading relation 55494302
Fri Feb 05 05:42:45 2010  error -15 reading relation 55768350
Fri Feb 05 05:42:46 2010  error -9 reading relation 55995404
Fri Feb 05 05:42:47 2010  error -9 reading relation 56096948
Fri Feb 05 05:42:47 2010  error -15 reading relation 56177018
Fri Feb 05 05:42:49 2010  error -15 reading relation 56435940
Fri Feb 05 05:42:50 2010  error -15 reading relation 56553861
Fri Feb 05 05:42:55 2010  error -11 reading relation 57423667
Fri Feb 05 05:42:56 2010  error -11 reading relation 57602031
Fri Feb 05 05:42:56 2010  error -15 reading relation 57707691
Fri Feb 05 05:42:57 2010  error -15 reading relation 57794892
Fri Feb 05 05:42:59 2010  error -9 reading relation 58181168
Fri Feb 05 05:43:00 2010  error -15 reading relation 58330019
Fri Feb 05 05:43:00 2010  error -15 reading relation 58333202
Fri Feb 05 05:43:00 2010  error -9 reading relation 58334940
Fri Feb 05 05:43:00 2010  error -9 reading relation 58380330
Fri Feb 05 05:43:00 2010  error -15 reading relation 58383911
Fri Feb 05 05:43:02 2010  error -15 reading relation 58698231
Fri Feb 05 05:43:03 2010  error -9 reading relation 58750312
Fri Feb 05 05:43:03 2010  error -15 reading relation 58830755
Fri Feb 05 05:43:04 2010  error -9 reading relation 58988541
Fri Feb 05 05:43:04 2010  error -11 reading relation 59051997
Fri Feb 05 05:43:04 2010  error -9 reading relation 59077152
Fri Feb 05 05:43:05 2010  error -15 reading relation 59140803
Fri Feb 05 05:43:07 2010  error -15 reading relation 59497922
Fri Feb 05 05:43:07 2010  error -6 reading relation 59584574
Fri Feb 05 05:43:09 2010  error -11 reading relation 59977558
Fri Feb 05 05:43:09 2010  error -5 reading relation 60010188
Fri Feb 05 05:43:11 2010  error -11 reading relation 60323721
Fri Feb 05 05:43:42 2010  error -5 reading relation 66551274
Fri Feb 05 05:43:42 2010  error -9 reading relation 66556461
Fri Feb 05 05:43:48 2010  error -9 reading relation 67402791
Fri Feb 05 05:43:50 2010  error -5 reading relation 67926435
Fri Feb 05 05:44:00 2010  error -15 reading relation 69643374
Fri Feb 05 05:44:00 2010  error -9 reading relation 69707182
Fri Feb 05 05:44:00 2010  error -9 reading relation 69713864
Fri Feb 05 05:44:01 2010  error -15 reading relation 69784377
Fri Feb 05 05:44:01 2010  error -15 reading relation 69789298
Fri Feb 05 05:44:01 2010  error -15 reading relation 69799176
Fri Feb 05 05:44:01 2010  error -15 reading relation 69811286
Fri Feb 05 05:44:04 2010  error -9 reading relation 70369747
Fri Feb 05 05:44:05 2010  error -15 reading relation 70539907
Fri Feb 05 05:44:05 2010  error -15 reading relation 70545720
Fri Feb 05 05:44:05 2010  error -15 reading relation 70551685
Fri Feb 05 05:44:05 2010  error -9 reading relation 70583004
Fri Feb 05 05:44:05 2010  error -15 reading relation 70583419
Fri Feb 05 05:44:05 2010  error -15 reading relation 70583642
Fri Feb 05 05:44:05 2010  error -15 reading relation 70584706
Fri Feb 05 05:44:05 2010  error -5 reading relation 70584728
Fri Feb 05 05:44:05 2010  error -15 reading relation 70585855
Fri Feb 05 05:44:05 2010  error -9 reading relation 70588588
Fri Feb 05 05:44:05 2010  error -1 reading relation 70593142
Fri Feb 05 05:44:06 2010  error -9 reading relation 70684791
Fri Feb 05 05:44:08 2010  error -9 reading relation 71092234
Fri Feb 05 05:44:10 2010  error -15 reading relation 71418616
Fri Feb 05 05:44:10 2010  error -15 reading relation 71431506
Fri Feb 05 05:44:10 2010  error -9 reading relation 71461847
Fri Feb 05 05:44:10 2010  error -1 reading relation 71469240
Fri Feb 05 05:44:47 2010  error -15 reading relation 78531289
Fri Feb 05 05:45:06 2010  error -6 reading relation 82269666
Fri Feb 05 05:45:06 2010  error -6 reading relation 82269725
Fri Feb 05 05:45:09 2010  error -15 reading relation 82909904
Fri Feb 05 05:45:11 2010  error -9 reading relation 83283343
Fri Feb 05 05:45:15 2010  error -15 reading relation 84006623
Fri Feb 05 05:45:21 2010  error -9 reading relation 85156015
Fri Feb 05 05:45:23 2010  error -1 reading relation 85496673
Fri Feb 05 05:45:29 2010  error -9 reading relation 86761221
Fri Feb 05 05:45:30 2010  error -15 reading relation 86924598
Fri Feb 05 05:45:34 2010  error -9 reading relation 87432002
Fri Feb 05 05:45:43 2010  error -15 reading relation 88744653
Fri Feb 05 05:45:49 2010  error -15 reading relation 89740413
Fri Feb 05 05:45:49 2010  error -9 reading relation 89746677
Fri Feb 05 05:45:49 2010  error -15 reading relation 89752197
Fri Feb 05 05:45:49 2010  error -15 reading relation 89757737
Fri Feb 05 05:45:50 2010  error -9 reading relation 89999560
Fri Feb 05 05:45:50 2010  error -9 reading relation 90004844
Fri Feb 05 05:45:56 2010  error -11 reading relation 91031732
Fri Feb 05 05:46:12 2010  error -9 reading relation 92725339
Fri Feb 05 05:46:13 2010  error -9 reading relation 92783299
Fri Feb 05 05:46:17 2010  error -6 reading relation 93155225
Fri Feb 05 05:46:39 2010  error -1 reading relation 96243141
Fri Feb 05 05:46:40 2010  error -6 reading relation 96286401
Fri Feb 05 05:46:47 2010  error -15 reading relation 97351078
Fri Feb 05 05:47:00 2010  error -9 reading relation 99074054
Fri Feb 05 05:47:01 2010  error -9 reading relation 99136150
Fri Feb 05 05:47:02 2010  error -9 reading relation 99268239
Fri Feb 05 05:47:02 2010  error -15 reading relation 99271377
Fri Feb 05 05:47:05 2010  error -9 reading relation 99692099
Fri Feb 05 05:47:11 2010  error -15 reading relation 100559751
Fri Feb 05 05:47:18 2010  error -5 reading relation 101468669
Fri Feb 05 05:47:26 2010  error -15 reading relation 102389320
Fri Feb 05 05:47:36 2010  error -1 reading relation 103643451
Fri Feb 05 05:47:45 2010  error -11 reading relation 104911278
Fri Feb 05 05:47:50 2010  error -1 reading relation 105623185
Fri Feb 05 05:47:58 2010  error -1 reading relation 106570013
Fri Feb 05 05:47:59 2010  error -15 reading relation 106774363
Fri Feb 05 05:48:05 2010  error -9 reading relation 107567036
Fri Feb 05 05:48:05 2010  error -15 reading relation 107670380
Fri Feb 05 05:48:07 2010  error -15 reading relation 107742023
Fri Feb 05 05:48:20 2010  error -9 reading relation 109545511
Fri Feb 05 05:48:23 2010  error -9 reading relation 109976761
Fri Feb 05 05:48:23 2010  error -9 reading relation 109987107
Fri Feb 05 05:48:24 2010  error -9 reading relation 109993358
Fri Feb 05 05:48:24 2010  error -15 reading relation 110040109
Fri Feb 05 05:48:24 2010  error -9 reading relation 110089511
Fri Feb 05 05:48:26 2010  error -11 reading relation 110331566
Fri Feb 05 05:49:06 2010  found 25588201 hash collisions in 113137459 relations
Fri Feb 05 05:49:28 2010  commencing duplicate removal, pass 2
Fri Feb 05 05:52:34 2010  found 27052190 duplicates and 86085269 unique relations
Fri Feb 05 05:52:34 2010  memory use: 660.8 MB
Fri Feb 05 05:52:35 2010  reading ideals above 90505216
Fri Feb 05 05:52:35 2010  commencing singleton removal, initial pass
Fri Feb 05 06:02:42 2010  memory use: 1506.0 MB
Fri Feb 05 06:02:42 2010  reading all ideals from disk
Fri Feb 05 06:02:52 2010  memory use: 1642.4 MB
Fri Feb 05 06:03:00 2010  commencing in-memory singleton removal
Fri Feb 05 06:03:07 2010  begin with 86085269 relations and 79213143 unique ideals
Fri Feb 05 06:04:28 2010  reduce to 48548256 relations and 37052243 ideals in 15 passes
Fri Feb 05 06:04:28 2010  max relations containing the same ideal: 27
Fri Feb 05 06:04:35 2010  reading ideals above 720000
Fri Feb 05 06:04:35 2010  commencing singleton removal, initial pass
Fri Feb 05 06:13:30 2010  memory use: 1378.0 MB
Fri Feb 05 06:13:30 2010  reading all ideals from disk
Fri Feb 05 06:13:33 2010  memory use: 1905.4 MB
Fri Feb 05 06:13:46 2010  keeping 47280668 ideals with weight <= 200, target excess is 256751
Fri Feb 05 06:13:57 2010  commencing in-memory singleton removal
Fri Feb 05 06:14:09 2010  begin with 48548257 relations and 47280668 unique ideals
Fri Feb 05 06:15:39 2010  reduce to 48537286 relations and 47269695 ideals in 9 passes
Fri Feb 05 06:15:39 2010  max relations containing the same ideal: 200
Fri Feb 05 06:16:26 2010  removing 3365926 relations and 2965926 ideals in 400000 cliques
Fri Feb 05 06:16:28 2010  commencing in-memory singleton removal
Fri Feb 05 06:16:38 2010  begin with 45171360 relations and 47269695 unique ideals
Fri Feb 05 06:17:57 2010  reduce to 45019650 relations and 44150323 ideals in 9 passes
Fri Feb 05 06:17:57 2010  max relations containing the same ideal: 197
Fri Feb 05 06:18:38 2010  removing 2477976 relations and 2077976 ideals in 400000 cliques
Fri Feb 05 06:18:39 2010  commencing in-memory singleton removal
Fri Feb 05 06:18:48 2010  begin with 42541674 relations and 44150323 unique ideals
Fri Feb 05 06:19:51 2010  reduce to 42449719 relations and 41979526 ideals in 7 passes
Fri Feb 05 06:19:51 2010  max relations containing the same ideal: 190
Fri Feb 05 06:20:29 2010  removing 1065783 relations and 893422 ideals in 172361 cliques
Fri Feb 05 06:20:30 2010  commencing in-memory singleton removal
Fri Feb 05 06:20:39 2010  begin with 41383936 relations and 41979526 unique ideals
Fri Feb 05 06:21:31 2010  reduce to 41365541 relations and 41067640 ideals in 6 passes
Fri Feb 05 06:21:31 2010  max relations containing the same ideal: 187
Fri Feb 05 06:21:47 2010  relations with 0 large ideals: 8719
Fri Feb 05 06:21:47 2010  relations with 1 large ideals: 766
Fri Feb 05 06:21:48 2010  relations with 2 large ideals: 10357
Fri Feb 05 06:21:48 2010  relations with 3 large ideals: 113460
Fri Feb 05 06:21:48 2010  relations with 4 large ideals: 709419
Fri Feb 05 06:21:48 2010  relations with 5 large ideals: 2718154
Fri Feb 05 06:21:48 2010  relations with 6 large ideals: 6634238
Fri Feb 05 06:21:48 2010  relations with 7+ large ideals: 31170428
Fri Feb 05 06:21:48 2010  commencing 2-way merge
Fri Feb 05 06:22:50 2010  reduce to 27986857 relation sets and 27688956 unique ideals
Fri Feb 05 06:22:50 2010  commencing full merge
Fri Feb 05 06:34:16 2010  memory use: 3353.0 MB
Fri Feb 05 06:34:22 2010  found 14940441 cycles, need 14901156
Fri Feb 05 06:34:24 2010  weight of 14901156 cycles is about 1043166892 (70.01/cycle)
Fri Feb 05 06:34:24 2010  distribution of cycle lengths:
Fri Feb 05 06:34:24 2010  1 relations: 1808676
Fri Feb 05 06:34:24 2010  2 relations: 2084908
Fri Feb 05 06:34:24 2010  3 relations: 2045965
Fri Feb 05 06:34:24 2010  4 relations: 1770344
Fri Feb 05 06:34:24 2010  5 relations: 1489729
Fri Feb 05 06:34:24 2010  6 relations: 1221862
Fri Feb 05 06:34:24 2010  7 relations: 995882
Fri Feb 05 06:34:24 2010  8 relations: 801144
Fri Feb 05 06:34:24 2010  9 relations: 639735
Fri Feb 05 06:34:24 2010  10+ relations: 2042911
Fri Feb 05 06:34:24 2010  heaviest cycle: 24 relations
Fri Feb 05 06:34:27 2010  commencing cycle optimization
Fri Feb 05 06:34:55 2010  start with 78600850 relations
Fri Feb 05 06:38:16 2010  pruned 2043416 relations
Fri Feb 05 06:38:17 2010  memory use: 2531.1 MB
Fri Feb 05 06:38:17 2010  distribution of cycle lengths:
Fri Feb 05 06:38:17 2010  1 relations: 1808676
Fri Feb 05 06:38:17 2010  2 relations: 2133080
Fri Feb 05 06:38:17 2010  3 relations: 2126812
Fri Feb 05 06:38:17 2010  4 relations: 1811563
Fri Feb 05 06:38:17 2010  5 relations: 1518847
Fri Feb 05 06:38:17 2010  6 relations: 1226762
Fri Feb 05 06:38:17 2010  7 relations: 993087
Fri Feb 05 06:38:17 2010  8 relations: 786165
Fri Feb 05 06:38:17 2010  9 relations: 623871
Fri Feb 05 06:38:17 2010  10+ relations: 1872293
Fri Feb 05 06:38:17 2010  heaviest cycle: 23 relations
Fri Feb 05 06:39:01 2010  RelProcTime: 3723
Fri Feb 05 06:39:01 2010  
Fri Feb 05 06:39:01 2010  commencing linear algebra
Fri Feb 05 06:39:05 2010  read 14901156 cycles
Fri Feb 05 06:39:40 2010  cycles contain 41158185 unique relations
Fri Feb 05 06:44:21 2010  read 41158185 relations
Fri Feb 05 06:45:44 2010  using 20 quadratic characters above 1073741622
Fri Feb 05 06:49:06 2010  building initial matrix
Fri Feb 05 06:59:33 2010  memory use: 5275.1 MB
Fri Feb 05 06:59:51 2010  read 14901156 cycles
Fri Feb 05 07:01:10 2010  matrix is 14900978 x 14901156 (4419.0 MB) with weight 1281762171 (86.02/col)
Fri Feb 05 07:01:10 2010  sparse part has weight 1009410815 (67.74/col)
Fri Feb 05 07:05:04 2010  filtering completed in 2 passes
Fri Feb 05 07:05:08 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Fri Feb 05 07:05:08 2010  sparse part has weight 1009397455 (67.75/col)
Fri Feb 05 07:06:56 2010  read 14898551 cycles
Fri Feb 05 07:07:57 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Fri Feb 05 07:07:57 2010  sparse part has weight 1009397455 (67.75/col)
Fri Feb 05 07:07:58 2010  saving the first 48 matrix rows for later
Fri Feb 05 07:08:07 2010  matrix is 14898326 x 14898551 (4262.8 MB) with weight 1031705332 (69.25/col)
Fri Feb 05 07:08:07 2010  sparse part has weight 968482725 (65.01/col)
Fri Feb 05 07:08:07 2010  matrix includes 64 packed rows
Fri Feb 05 07:08:07 2010  using block size 65536 for processor cache size 6144 kB
Fri Feb 05 07:11:03 2010  commencing Lanczos iteration (4 threads)
Fri Feb 05 07:11:03 2010  memory use: 4665.7 MB
Fri Feb 05 07:13:00 2010  linear algebra at 0.0%, ETA 570h59m
Fri Feb 05 08:46:20 2010  lanczos halted after 650 iterations (dim = 41132)
Fri Feb 05 08:46:37 2010  BLanczosTime: 7656
Fri Feb 05 08:46:37 2010  
Fri Feb 05 08:46:37 2010  commencing square root phase
Fri Feb 05 08:46:37 2010  reading relations for dependency 1
Fri Feb 05 08:46:37 2010  error: read_cycles can't open dependency file
Fri Feb 05 09:03:17 2010  
Fri Feb 05 09:03:17 2010  
Fri Feb 05 09:03:17 2010  Msieve v. 1.43
Fri Feb 05 09:03:17 2010  random seeds: 67784890 34511f00
Fri Feb 05 09:03:17 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Fri Feb 05 09:03:19 2010  searching for 15-digit factors
Fri Feb 05 09:03:20 2010  commencing number field sieve (243-digit input)
Fri Feb 05 09:03:20 2010  R0: -100000000000000000000000000000000000000000
Fri Feb 05 09:03:20 2010  R1:  1
Fri Feb 05 09:03:20 2010  A0: -7
Fri Feb 05 09:03:20 2010  A1:  0
Fri Feb 05 09:03:20 2010  A2:  0
Fri Feb 05 09:03:20 2010  A3:  0
Fri Feb 05 09:03:20 2010  A4:  0
Fri Feb 05 09:03:20 2010  A5:  0
Fri Feb 05 09:03:20 2010  A6:  16
Fri Feb 05 09:03:20 2010  skew 0.87, size 3.733980e-012, alpha 1.013889, combined = 3.095226e-013
Fri Feb 05 09:03:20 2010  
Fri Feb 05 09:03:20 2010  commencing linear algebra
Fri Feb 05 09:03:23 2010  read 14898551 cycles
Fri Feb 05 09:04:24 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Fri Feb 05 09:04:24 2010  sparse part has weight 1009397455 (67.75/col)
Fri Feb 05 09:04:24 2010  saving the first 48 matrix rows for later
Fri Feb 05 09:04:32 2010  matrix is 14898326 x 14898551 (4262.8 MB) with weight 1031705332 (69.25/col)
Fri Feb 05 09:04:32 2010  sparse part has weight 968482725 (65.01/col)
Fri Feb 05 09:04:32 2010  matrix includes 64 packed rows
Fri Feb 05 09:04:32 2010  using block size 65536 for processor cache size 6144 kB
Fri Feb 05 09:05:30 2010  commencing Lanczos iteration
Fri Feb 05 09:05:30 2010  memory use: 4324.6 MB
Fri Feb 05 09:05:36 2010  restarting at iteration 650 (dim = 41132)
Fri Feb 05 09:07:50 2010  linear algebra at 0.3%, ETA 728h35m
Fri Feb 05 09:08:21 2010  lanczos halted after 664 iterations (dim = 42018)
Fri Feb 05 09:08:23 2010  BLanczosTime: 303
Fri Feb 05 09:08:23 2010  elapsed time 00:05:06
Fri Feb 05 09:08:49 2010  
Fri Feb 05 09:08:49 2010  
Fri Feb 05 09:08:49 2010  Msieve v. 1.43
Fri Feb 05 09:08:49 2010  random seeds: a5994ac0 1158df1d
Fri Feb 05 09:08:49 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Fri Feb 05 09:08:50 2010  searching for 15-digit factors
Fri Feb 05 09:08:51 2010  commencing number field sieve (243-digit input)
Fri Feb 05 09:08:51 2010  R0: -100000000000000000000000000000000000000000
Fri Feb 05 09:08:51 2010  R1:  1
Fri Feb 05 09:08:51 2010  A0: -7
Fri Feb 05 09:08:51 2010  A1:  0
Fri Feb 05 09:08:51 2010  A2:  0
Fri Feb 05 09:08:51 2010  A3:  0
Fri Feb 05 09:08:51 2010  A4:  0
Fri Feb 05 09:08:51 2010  A5:  0
Fri Feb 05 09:08:51 2010  A6:  16
Fri Feb 05 09:08:51 2010  skew 0.87, size 3.733980e-012, alpha 1.013889, combined = 3.095226e-013
Fri Feb 05 09:08:51 2010  
Fri Feb 05 09:08:51 2010  commencing linear algebra
Fri Feb 05 09:08:58 2010  read 14898551 cycles
Fri Feb 05 09:10:10 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Fri Feb 05 09:10:10 2010  sparse part has weight 1009397455 (67.75/col)
Fri Feb 05 09:10:11 2010  saving the first 48 matrix rows for later
Fri Feb 05 09:10:18 2010  matrix is 14898326 x 14898551 (4262.8 MB) with weight 1031705332 (69.25/col)
Fri Feb 05 09:10:18 2010  sparse part has weight 968482725 (65.01/col)
Fri Feb 05 09:10:18 2010  matrix includes 64 packed rows
Fri Feb 05 09:10:18 2010  using block size 65536 for processor cache size 6144 kB
Fri Feb 05 09:11:16 2010  commencing Lanczos iteration (2 threads)
Fri Feb 05 09:11:16 2010  memory use: 4438.3 MB
Fri Feb 05 09:11:23 2010  restarting at iteration 664 (dim = 42018)
Fri Feb 05 09:13:09 2010  linear algebra at 0.3%, ETA 575h33m
Fri Feb 05 09:13:43 2010  lanczos halted after 679 iterations (dim = 42968)
Fri Feb 05 09:13:46 2010  BLanczosTime: 295
Fri Feb 05 09:13:46 2010  elapsed time 00:04:57
Fri Feb 05 09:14:08 2010  
Fri Feb 05 09:14:08 2010  
Fri Feb 05 09:14:08 2010  Msieve v. 1.43
Fri Feb 05 09:14:08 2010  random seeds: 69261528 2d142be5
Fri Feb 05 09:14:08 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Fri Feb 05 09:14:10 2010  searching for 15-digit factors
Fri Feb 05 09:14:10 2010  commencing number field sieve (243-digit input)
Fri Feb 05 09:14:10 2010  R0: -100000000000000000000000000000000000000000
Fri Feb 05 09:14:10 2010  R1:  1
Fri Feb 05 09:14:10 2010  A0: -7
Fri Feb 05 09:14:10 2010  A1:  0
Fri Feb 05 09:14:10 2010  A2:  0
Fri Feb 05 09:14:10 2010  A3:  0
Fri Feb 05 09:14:10 2010  A4:  0
Fri Feb 05 09:14:10 2010  A5:  0
Fri Feb 05 09:14:10 2010  A6:  16
Fri Feb 05 09:14:10 2010  skew 0.87, size 3.733980e-012, alpha 1.013889, combined = 3.095226e-013
Fri Feb 05 09:14:10 2010  
Fri Feb 05 09:14:10 2010  commencing linear algebra
Fri Feb 05 09:14:21 2010  read 14898551 cycles
Fri Feb 05 09:15:41 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Fri Feb 05 09:15:41 2010  sparse part has weight 1009397455 (67.75/col)
Fri Feb 05 09:15:42 2010  saving the first 48 matrix rows for later
Fri Feb 05 09:15:50 2010  matrix is 14898326 x 14898551 (4262.8 MB) with weight 1031705332 (69.25/col)
Fri Feb 05 09:15:50 2010  sparse part has weight 968482725 (65.01/col)
Fri Feb 05 09:15:50 2010  matrix includes 64 packed rows
Fri Feb 05 09:15:50 2010  using block size 65536 for processor cache size 6144 kB
Fri Feb 05 09:16:44 2010  commencing Lanczos iteration (4 threads)
Fri Feb 05 09:16:44 2010  memory use: 4665.7 MB
Fri Feb 05 09:16:51 2010  restarting at iteration 679 (dim = 42968)
Fri Feb 05 09:18:30 2010  linear algebra at 0.3%, ETA 539h38m
Fri Feb 05 09:19:02 2010  lanczos halted after 694 iterations (dim = 43917)
Fri Feb 05 09:19:04 2010  BLanczosTime: 294
Fri Feb 05 09:19:04 2010  elapsed time 00:04:56
Fri Feb  5 19:47:10 2010  
Fri Feb  5 19:47:10 2010  
Fri Feb  5 19:47:10 2010  Msieve v. 1.43
Fri Feb  5 19:47:10 2010  random seeds: a88fe1d0 f040b83e
Fri Feb  5 19:47:10 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Fri Feb  5 19:47:12 2010  no P-1/P+1/ECM available, skipping
Fri Feb  5 19:47:12 2010  commencing number field sieve (243-digit input)
Fri Feb  5 19:47:12 2010  R0: -100000000000000000000000000000000000000000
Fri Feb  5 19:47:12 2010  R1:  1
Fri Feb  5 19:47:12 2010  A0: -7
Fri Feb  5 19:47:12 2010  A1:  0
Fri Feb  5 19:47:12 2010  A2:  0
Fri Feb  5 19:47:12 2010  A3:  0
Fri Feb  5 19:47:12 2010  A4:  0
Fri Feb  5 19:47:12 2010  A5:  0
Fri Feb  5 19:47:12 2010  A6:  16
Fri Feb  5 19:47:12 2010  skew 0.87, size 3.733980e-12, alpha 1.013889, combined = 3.095226e-13
Fri Feb  5 19:47:12 2010  
Fri Feb  5 19:47:12 2010  commencing linear algebra
Fri Feb  5 19:47:15 2010  read 14898551 cycles
Fri Feb  5 19:47:55 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Fri Feb  5 19:47:55 2010  sparse part has weight 1009397455 (67.75/col)
Fri Feb  5 19:47:56 2010  saving the first 48 matrix rows for later
Fri Feb  5 19:48:03 2010  matrix is 14898326 x 14898551 (4262.8 MB) with weight 1031705332 (69.25/col)
Fri Feb  5 19:48:03 2010  sparse part has weight 968482725 (65.01/col)
Fri Feb  5 19:48:03 2010  matrix includes 64 packed rows
Fri Feb  5 19:48:03 2010  using block size 65536 for processor cache size 6144 kB
Fri Feb  5 19:49:06 2010  commencing Lanczos iteration (6 threads)
Fri Feb  5 19:49:06 2010  memory use: 4893.0 MB
Fri Feb  5 19:49:12 2010  restarting at iteration 650 (dim = 41132)
Fri Feb  5 19:51:12 2010  linear algebra at 0.3%, ETA 652h27m
Sat Feb  6 12:27:10 2010  
Sat Feb  6 12:27:10 2010  
Sat Feb  6 12:27:10 2010  Msieve v. 1.43
Sat Feb  6 12:27:10 2010  random seeds: 86682f53 5785c5a8
Sat Feb  6 12:27:10 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Sat Feb  6 12:27:13 2010  no P-1/P+1/ECM available, skipping
Sat Feb  6 12:27:13 2010  commencing number field sieve (243-digit input)
Sat Feb  6 12:27:13 2010  R0: -100000000000000000000000000000000000000000
Sat Feb  6 12:27:13 2010  R1:  1
Sat Feb  6 12:27:13 2010  A0: -7
Sat Feb  6 12:27:13 2010  A1:  0
Sat Feb  6 12:27:13 2010  A2:  0
Sat Feb  6 12:27:13 2010  A3:  0
Sat Feb  6 12:27:13 2010  A4:  0
Sat Feb  6 12:27:13 2010  A5:  0
Sat Feb  6 12:27:13 2010  A6:  16
Sat Feb  6 12:27:13 2010  skew 0.87, size 3.733980e-12, alpha 1.013889, combined = 3.095226e-13
Sat Feb  6 12:27:13 2010  
Sat Feb  6 12:27:13 2010  commencing linear algebra
Sat Feb  6 12:27:25 2010  read 14898551 cycles
Sat Feb  6 12:30:55 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Sat Feb  6 12:30:55 2010  sparse part has weight 1009397455 (67.75/col)
Sat Feb  6 12:30:55 2010  saving the first 48 matrix rows for later
Sat Feb  6 12:31:03 2010  matrix is 14898326 x 14898551 (4262.8 MB) with weight 1031705332 (69.25/col)
Sat Feb  6 12:31:03 2010  sparse part has weight 968482725 (65.01/col)
Sat Feb  6 12:31:03 2010  matrix includes 64 packed rows
Sat Feb  6 12:31:03 2010  using block size 65536 for processor cache size 6144 kB
Sat Feb  6 12:32:05 2010  commencing Lanczos iteration (6 threads)
Sat Feb  6 12:32:05 2010  memory use: 4893.0 MB
Sat Feb  6 12:32:11 2010  restarting at iteration 6167 (dim = 390027)
Sat Feb  6 12:34:13 2010  linear algebra at 2.6%, ETA 651h11m
Sat Feb  6 13:43:25 2010  
Sat Feb  6 13:43:25 2010  
Sat Feb  6 13:43:25 2010  Msieve v. 1.43
Sat Feb  6 13:43:25 2010  random seeds: e2179150 d67a21af
Sat Feb  6 13:43:25 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Sat Feb  6 13:43:27 2010  no P-1/P+1/ECM available, skipping
Sat Feb  6 13:43:27 2010  commencing number field sieve (243-digit input)
Sat Feb  6 13:43:27 2010  R0: -100000000000000000000000000000000000000000
Sat Feb  6 13:43:27 2010  R1:  1
Sat Feb  6 13:43:27 2010  A0: -7
Sat Feb  6 13:43:27 2010  A1:  0
Sat Feb  6 13:43:27 2010  A2:  0
Sat Feb  6 13:43:27 2010  A3:  0
Sat Feb  6 13:43:27 2010  A4:  0
Sat Feb  6 13:43:27 2010  A5:  0
Sat Feb  6 13:43:27 2010  A6:  16
Sat Feb  6 13:43:27 2010  skew 0.87, size 3.733980e-12, alpha 1.013889, combined = 3.095226e-13
Sat Feb  6 13:43:27 2010  
Sat Feb  6 13:43:27 2010  commencing linear algebra
Sat Feb  6 13:43:42 2010  read 14898551 cycles
Sat Feb  6 13:46:59 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Sat Feb  6 13:46:59 2010  sparse part has weight 1009397455 (67.75/col)
Sat Feb  6 13:46:59 2010  saving the first 48 matrix rows for later
Sat Feb  6 13:47:07 2010  matrix is 14898326 x 14898551 (4262.8 MB) with weight 1031705332 (69.25/col)
Sat Feb  6 13:47:07 2010  sparse part has weight 968482725 (65.01/col)
Sat Feb  6 13:47:07 2010  matrix includes 64 packed rows
Sat Feb  6 13:47:07 2010  using block size 65536 for processor cache size 6144 kB
Sat Feb  6 13:48:12 2010  commencing Lanczos iteration (8 threads)
Sat Feb  6 13:48:12 2010  memory use: 5120.4 MB
Sat Feb  6 13:48:20 2010  restarting at iteration 6167 (dim = 390027)
Sat Feb  6 13:50:21 2010  linear algebra at 2.6%, ETA 645h51m
Mon Feb  8 05:42:16 2010  
Mon Feb  8 05:42:16 2010  
Mon Feb  8 05:42:16 2010  Msieve v. 1.43
Mon Feb  8 05:42:16 2010  random seeds: d5d9a7e3 f495b463
Mon Feb  8 05:42:16 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Mon Feb  8 05:42:19 2010  no P-1/P+1/ECM available, skipping
Mon Feb  8 05:42:19 2010  commencing number field sieve (243-digit input)
Mon Feb  8 05:42:19 2010  R0: -100000000000000000000000000000000000000000
Mon Feb  8 05:42:19 2010  R1:  1
Mon Feb  8 05:42:19 2010  A0: -7
Mon Feb  8 05:42:19 2010  A1:  0
Mon Feb  8 05:42:19 2010  A2:  0
Mon Feb  8 05:42:19 2010  A3:  0
Mon Feb  8 05:42:19 2010  A4:  0
Mon Feb  8 05:42:19 2010  A5:  0
Mon Feb  8 05:42:19 2010  A6:  16
Mon Feb  8 05:42:19 2010  skew 0.87, size 3.733980e-12, alpha 1.013889, combined = 3.095226e-13
Mon Feb  8 05:42:19 2010  
Mon Feb  8 05:42:19 2010  commencing linear algebra
Mon Feb  8 05:42:27 2010  read 14898551 cycles
Mon Feb  8 05:43:59 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Mon Feb  8 05:43:59 2010  sparse part has weight 1009397455 (67.75/col)
Mon Feb  8 05:43:59 2010  saving the first 48 matrix rows for later
Mon Feb  8 05:44:07 2010  matrix is 14898326 x 14898551 (4262.8 MB) with weight 1031705332 (69.25/col)
Mon Feb  8 05:44:07 2010  sparse part has weight 968482725 (65.01/col)
Mon Feb  8 05:44:07 2010  matrix includes 64 packed rows
Mon Feb  8 05:44:07 2010  using block size 65536 for processor cache size 6144 kB
Mon Feb  8 05:45:12 2010  commencing Lanczos iteration (8 threads)
Mon Feb  8 05:45:12 2010  memory use: 5120.4 MB
Mon Feb  8 05:45:17 2010  restarting at iteration 20399 (dim = 1290008)
Mon Feb  8 05:47:17 2010  linear algebra at 8.7%, ETA 598h24m
Mon Feb 15 06:42:19 2010  
Mon Feb 15 06:42:19 2010  
Mon Feb 15 06:42:19 2010  Msieve v. 1.43
Mon Feb 15 06:42:19 2010  random seeds: c46eb4cc 33c76f8d
Mon Feb 15 06:42:19 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Mon Feb 15 06:42:21 2010  no P-1/P+1/ECM available, skipping
Mon Feb 15 06:42:21 2010  commencing number field sieve (243-digit input)
Mon Feb 15 06:42:21 2010  R0: -100000000000000000000000000000000000000000
Mon Feb 15 06:42:21 2010  R1:  1
Mon Feb 15 06:42:21 2010  A0: -7
Mon Feb 15 06:42:21 2010  A1:  0
Mon Feb 15 06:42:21 2010  A2:  0
Mon Feb 15 06:42:21 2010  A3:  0
Mon Feb 15 06:42:21 2010  A4:  0
Mon Feb 15 06:42:21 2010  A5:  0
Mon Feb 15 06:42:21 2010  A6:  16
Mon Feb 15 06:42:21 2010  skew 0.87, size 3.733980e-12, alpha 1.013889, combined = 3.095226e-13
Mon Feb 15 06:42:21 2010  
Mon Feb 15 06:42:21 2010  commencing linear algebra
Mon Feb 15 06:42:24 2010  read 14898551 cycles
Mon Feb 15 06:42:40 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Mon Feb 15 06:42:40 2010  sparse part has weight 1009397455 (67.75/col)
Mon Feb 15 06:42:41 2010  saving the first 48 matrix rows for later
Mon Feb 15 06:42:47 2010  matrix is 14898326 x 14898551 (4262.8 MB) with weight 1031705332 (69.25/col)
Mon Feb 15 06:42:48 2010  sparse part has weight 968482725 (65.01/col)
Mon Feb 15 06:42:48 2010  matrix includes 64 packed rows
Mon Feb 15 06:42:48 2010  using block size 65536 for processor cache size 6144 kB
Mon Feb 15 06:44:09 2010  commencing Lanczos iteration (8 threads)
Mon Feb 15 06:44:09 2010  memory use: 5120.4 MB
Mon Feb 15 06:44:12 2010  restarting at iteration 80173 (dim = 5070008)
Mon Feb 15 06:46:19 2010  linear algebra at 34.0%, ETA 456h11m
Mon Feb 22 05:47:33 2010  lanczos halted after 136955 iterations (dim = 8660858)
Mon Feb 22 05:47:33 2010  BLanczosTime: 601512
Mon Feb 22 05:47:33 2010  elapsed time 167:05:14
Wed Mar  3 10:39:31 2010  
Wed Mar  3 10:39:31 2010  
Wed Mar  3 10:39:31 2010  Msieve v. 1.44
Wed Mar  3 10:39:31 2010  random seeds: 8780c1a2 d3de9874
Wed Mar  3 10:39:31 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Wed Mar  3 10:39:34 2010  no P-1/P+1/ECM available, skipping
Wed Mar  3 10:39:34 2010  commencing number field sieve (243-digit input)
Wed Mar  3 10:39:34 2010  R0: -100000000000000000000000000000000000000000
Wed Mar  3 10:39:34 2010  R1:  1
Wed Mar  3 10:39:34 2010  A0: -7
Wed Mar  3 10:39:34 2010  A1:  0
Wed Mar  3 10:39:34 2010  A2:  0
Wed Mar  3 10:39:34 2010  A3:  0
Wed Mar  3 10:39:34 2010  A4:  0
Wed Mar  3 10:39:34 2010  A5:  0
Wed Mar  3 10:39:34 2010  A6:  16
Wed Mar  3 10:39:34 2010  skew 0.87, size 3.733980e-12, alpha 1.013889, combined = 3.095226e-13
Wed Mar  3 10:39:35 2010  
Wed Mar  3 10:39:35 2010  commencing linear algebra
Wed Mar  3 10:39:37 2010  read 14898551 cycles
Wed Mar  3 10:40:04 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Wed Mar  3 10:40:04 2010  sparse part has weight 1009397455 (67.75/col)
Wed Mar  3 10:40:04 2010  saving the first 48 matrix rows for later
Wed Mar  3 10:40:12 2010  matrix is 14898326 x 14898551 (4262.8 MB) with weight 1031705332 (69.25/col)
Wed Mar  3 10:40:12 2010  sparse part has weight 968482725 (65.01/col)
Wed Mar  3 10:40:12 2010  matrix includes 64 packed rows
Wed Mar  3 10:40:12 2010  using block size 65536 for processor cache size 6144 kB
Wed Mar  3 10:41:19 2010  commencing Lanczos iteration (8 threads)
Wed Mar  3 10:41:19 2010  memory use: 5120.4 MB
Wed Mar  3 10:41:28 2010  restarting at iteration 136955 (dim = 8660858)
Wed Mar  3 10:43:22 2010  linear algebra at 58.1%, ETA 258h30m
Mon Mar  8 09:21:14 2010  
Mon Mar  8 09:21:14 2010  
Mon Mar  8 09:21:14 2010  Msieve v. 1.44
Mon Mar  8 09:21:14 2010  random seeds: 8dabe93a 3a4c8b8c
Mon Mar  8 09:21:14 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Mon Mar  8 09:21:17 2010  no P-1/P+1/ECM available, skipping
Mon Mar  8 09:21:17 2010  commencing number field sieve (243-digit input)
Mon Mar  8 09:21:17 2010  R0: -100000000000000000000000000000000000000000
Mon Mar  8 09:21:17 2010  R1:  1
Mon Mar  8 09:21:17 2010  A0: -7
Mon Mar  8 09:21:17 2010  A1:  0
Mon Mar  8 09:21:17 2010  A2:  0
Mon Mar  8 09:21:17 2010  A3:  0
Mon Mar  8 09:21:17 2010  A4:  0
Mon Mar  8 09:21:17 2010  A5:  0
Mon Mar  8 09:21:17 2010  A6:  16
Mon Mar  8 09:21:17 2010  skew 0.87, size 3.733980e-12, alpha 1.013889, combined = 3.095226e-13
Mon Mar  8 09:21:17 2010  
Mon Mar  8 09:21:17 2010  commencing linear algebra
Mon Mar  8 09:21:23 2010  read 14898551 cycles
Mon Mar  8 09:23:36 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Mon Mar  8 09:23:36 2010  sparse part has weight 1009397455 (67.75/col)
Mon Mar  8 09:23:37 2010  saving the first 48 matrix rows for later
Mon Mar  8 09:23:44 2010  matrix is 14898326 x 14898551 (4262.8 MB) with weight 1031705332 (69.25/col)
Mon Mar  8 09:23:44 2010  sparse part has weight 968482725 (65.01/col)
Mon Mar  8 09:23:44 2010  matrix includes 64 packed rows
Mon Mar  8 09:23:44 2010  using block size 65536 for processor cache size 6144 kB
Mon Mar  8 09:24:52 2010  commencing Lanczos iteration (8 threads)
Mon Mar  8 09:24:52 2010  memory use: 5120.4 MB
Mon Mar  8 09:25:10 2010  restarting at iteration 158293 (dim = 10010012)
Mon Mar  8 09:27:04 2010  linear algebra at 67.2%, ETA 203h 7m
Mon Mar  8 19:12:56 2010  
Mon Mar  8 19:12:56 2010  
Mon Mar  8 19:12:56 2010  Msieve v. 1.44
Mon Mar  8 19:12:56 2010  random seeds: 5de40007 49b97333
Mon Mar  8 19:12:56 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Mon Mar  8 19:12:58 2010  no P-1/P+1/ECM available, skipping
Mon Mar  8 19:12:58 2010  commencing number field sieve (243-digit input)
Mon Mar  8 19:12:58 2010  R0: -100000000000000000000000000000000000000000
Mon Mar  8 19:12:58 2010  R1:  1
Mon Mar  8 19:12:58 2010  A0: -7
Mon Mar  8 19:12:58 2010  A1:  0
Mon Mar  8 19:12:58 2010  A2:  0
Mon Mar  8 19:12:59 2010  A3:  0
Mon Mar  8 19:12:59 2010  A4:  0
Mon Mar  8 19:12:59 2010  A5:  0
Mon Mar  8 19:12:59 2010  A6:  16
Mon Mar  8 19:12:59 2010  skew 0.87, size 3.733980e-12, alpha 1.013889, combined = 3.095226e-13
Mon Mar  8 19:12:59 2010  
Mon Mar  8 19:12:59 2010  commencing linear algebra
Mon Mar  8 19:13:05 2010  read 14898551 cycles
Mon Mar  8 19:14:24 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Mon Mar  8 19:14:24 2010  sparse part has weight 1009397455 (67.75/col)
Mon Mar  8 19:14:25 2010  saving the first 48 matrix rows for later
Mon Mar  8 19:14:32 2010  matrix is 14898326 x 14898551 (4262.8 MB) with weight 1031705332 (69.25/col)
Mon Mar  8 19:14:32 2010  sparse part has weight 968482725 (65.01/col)
Mon Mar  8 19:14:32 2010  matrix includes 64 packed rows
Mon Mar  8 19:14:33 2010  using block size 65536 for processor cache size 6144 kB
Mon Mar  8 19:15:40 2010  commencing Lanczos iteration (8 threads)
Mon Mar  8 19:15:40 2010  memory use: 5120.4 MB
Mon Mar  8 19:15:51 2010  restarting at iteration 159400 (dim = 10080044)
Mon Mar  8 19:17:45 2010  linear algebra at 67.7%, ETA 200h44m
Sat Mar 13 13:00:55 2010  
Sat Mar 13 13:00:55 2010  
Sat Mar 13 13:00:55 2010  Msieve v. 1.44
Sat Mar 13 13:00:55 2010  random seeds: fabe3420 8d6a42bc
Sat Mar 13 13:00:55 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Sat Mar 13 13:00:57 2010  no P-1/P+1/ECM available, skipping
Sat Mar 13 13:00:57 2010  commencing number field sieve (243-digit input)
Sat Mar 13 13:00:57 2010  R0: -100000000000000000000000000000000000000000
Sat Mar 13 13:00:57 2010  R1:  1
Sat Mar 13 13:00:57 2010  A0: -7
Sat Mar 13 13:00:57 2010  A1:  0
Sat Mar 13 13:00:57 2010  A2:  0
Sat Mar 13 13:00:58 2010  A3:  0
Sat Mar 13 13:00:58 2010  A4:  0
Sat Mar 13 13:00:58 2010  A5:  0
Sat Mar 13 13:00:58 2010  A6:  16
Sat Mar 13 13:00:58 2010  skew 0.87, size 3.733980e-12, alpha 1.013889, combined = 3.095226e-13
Sat Mar 13 13:00:58 2010  
Sat Mar 13 13:00:58 2010  commencing linear algebra
Sat Mar 13 13:01:03 2010  read 14898551 cycles
Sat Mar 13 13:02:21 2010  matrix is 14898374 x 14898551 (4418.9 MB) with weight 1281701616 (86.03/col)
Sat Mar 13 13:02:21 2010  sparse part has weight 1009397455 (67.75/col)
Sat Mar 13 13:02:22 2010  saving the first 48 matrix rows for later
Sat Mar 13 13:02:29 2010  matrix is 14898326 x 14898551 (4262.8 MB) with weight 1031705332 (69.25/col)
Sat Mar 13 13:02:29 2010  sparse part has weight 968482725 (65.01/col)
Sat Mar 13 13:02:29 2010  matrix includes 64 packed rows
Sat Mar 13 13:02:29 2010  using block size 65536 for processor cache size 6144 kB
Sat Mar 13 13:03:37 2010  commencing Lanczos iteration (8 threads)
Sat Mar 13 13:03:37 2010  memory use: 5120.4 MB
Sat Mar 13 13:03:49 2010  restarting at iteration 197040 (dim = 12460020)
Sat Mar 13 13:05:43 2010  linear algebra at 83.6%, ETA 101h50m
Wed Mar 17 19:52:39 2010  lanczos halted after 235602 iterations (dim = 14898324)
Wed Mar 17 19:53:17 2010  recovered 34 nontrivial dependencies
Wed Mar 17 19:53:18 2010  BLanczosTime: 366740
Wed Mar 17 19:53:18 2010  elapsed time 101:52:23
Wed Mar 17 21:32:51 2010  
Wed Mar 17 21:32:51 2010  
Wed Mar 17 21:32:51 2010  Msieve v. 1.44
Wed Mar 17 21:32:51 2010  random seeds: 82bc24d4 d0527730
Wed Mar 17 21:32:51 2010  factoring 803333835416980468946126424662348747301300396646081237134106542149922177034693980017070844002610834965105186524074910880152633428729226289099764020685846261987247075362755435055480243008485213636591856203243460360496058643369985439574233067229 (243 digits)
Wed Mar 17 21:32:53 2010  searching for 15-digit factors
Wed Mar 17 21:32:53 2010  commencing number field sieve (243-digit input)
Wed Mar 17 21:32:53 2010  R0: -100000000000000000000000000000000000000000
Wed Mar 17 21:32:53 2010  R1:  1
Wed Mar 17 21:32:53 2010  A0: -7
Wed Mar 17 21:32:53 2010  A1:  0
Wed Mar 17 21:32:53 2010  A2:  0
Wed Mar 17 21:32:53 2010  A3:  0
Wed Mar 17 21:32:53 2010  A4:  0
Wed Mar 17 21:32:53 2010  A5:  0
Wed Mar 17 21:32:53 2010  A6:  16
Wed Mar 17 21:32:53 2010  skew 0.87, size 3.733980e-012, alpha 1.013889, combined = 3.095226e-013
Wed Mar 17 21:32:53 2010  
Wed Mar 17 21:32:53 2010  commencing square root phase
Wed Mar 17 21:32:53 2010  reading relations for dependency 1
Wed Mar 17 21:32:59 2010  read 7450633 cycles
Wed Mar 17 21:33:14 2010  cycles contain 20584218 unique relations
Wed Mar 17 21:36:26 2010  read 20584218 relations
Wed Mar 17 21:38:40 2010  multiplying 20584218 relations
Wed Mar 17 22:08:38 2010  multiply complete, coefficients have about 599.96 million bits
Wed Mar 17 22:08:44 2010  initial square root is modulo 241321
Wed Mar 17 23:01:17 2010  sqrtTime: 5304
Wed Mar 17 23:01:17 2010  prp112 factor: 2435468240118378272873228683007545771982934505635701511939709817537210703337905556556201195493087929267549399939
Wed Mar 17 23:01:17 2010  prp132 factor: 329847797718739151507532688618951927977905331529639648113533990518474728055639086395696863199836104478222195587283857696449248366111
Wed Mar 17 23:01:17 2010  elapsed time 01:28:26
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61316118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1198Dmitry DomanovJuly 4, 2009 14:53:51 UTC 2009 年 7 月 4 日 (土) 23 時 53 分 51 秒 (日本時間)
403e62644Dmitry DomanovJuly 11, 2009 20:27:04 UTC 2009 年 7 月 12 日 (日) 5 時 27 分 4 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:43:45 UTC 2009 年 9 月 2 日 (水) 3 時 43 分 45 秒 (日本時間)

16×10248-79

c241

name 名前RSALS + Zeta-Flux
date 日付April 23, 2010 06:44:26 UTC 2010 年 4 月 23 日 (金) 15 時 44 分 26 秒 (日本時間)
composite number 合成数
6354742010362590418595633709985644200910077695816301184999324868237105321917309388252380056419067687776797916276917431101420447282408678852273699485068502986933288128876042619046390653292937350453310159495644144074853840635883128684625874553<241>
prime factors 素因数
28220606013264572316732097406716970350693523363177348174484390753364754555231654618223868298116899729323<104>
225180919480455587232921329092455649226793513032810624199089292067634362411203908970959705956739963931727784094275228339020101724513724011<138>
factorization results 素因数分解の結果
<sieving by the RSALS grid>

<filtering + linear algebra + square root by Pace Nielsen in less than 2 weeks>
Thu Apr  8 14:49:43 2010  
Thu Apr  8 14:49:43 2010  
Thu Apr  8 14:49:43 2010  Msieve v. 1.44
Thu Apr  8 14:49:43 2010  random seeds: 36f4b507 6f0f724a
Thu Apr  8 14:49:43 2010  factoring 6354742010362590418595633709985644200910077695816301184999324868237105321917309388252380056419067687776797916276917431101420447282408678852273699485068502986933288128876042619046390653292937350453310159495644144074853840635883128684625874553 (241 digits)
Thu Apr  8 14:49:45 2010  no P-1/P+1/ECM available, skipping
Thu Apr  8 14:49:45 2010  commencing number field sieve (241-digit input)
Thu Apr  8 14:49:45 2010  R0: -200000000000000000000000000000000000000000
Thu Apr  8 14:49:45 2010  R1:  1
Thu Apr  8 14:49:46 2010  A0: -7
Thu Apr  8 14:49:46 2010  A1:  0
Thu Apr  8 14:49:46 2010  A2:  0
Thu Apr  8 14:49:46 2010  A3:  0
Thu Apr  8 14:49:46 2010  A4:  0
Thu Apr  8 14:49:46 2010  A5:  0
Thu Apr  8 14:49:47 2010  A6:  25
Thu Apr  8 14:49:48 2010  skew 0.81, size 3.348252e-12, alpha 0.442034, combined = 2.843151e-13
Thu Apr  8 14:49:48 2010  
Thu Apr  8 14:49:48 2010  commencing relation filtering
Thu Apr  8 14:49:48 2010  estimated available RAM is 24097.4 MB
Thu Apr  8 14:49:48 2010  commencing duplicate removal, pass 1
<snip errors reading relations>
Thu Apr  8 15:56:27 2010  found 46860030 hash collisions in 224648040 relations
Thu Apr  8 15:56:45 2010  added 1218897 free relations
Thu Apr  8 15:56:45 2010  commencing duplicate removal, pass 2
Thu Apr  8 16:29:25 2010  found 47617955 duplicates and 178248982 unique relations
Thu Apr  8 16:29:25 2010  memory use: 1321.5 MB
Thu Apr  8 16:29:25 2010  reading ideals above 172818432
Thu Apr  8 16:29:25 2010  commencing singleton removal, initial pass
Thu Apr  8 17:18:09 2010  memory use: 3012.0 MB
Thu Apr  8 17:18:10 2010  reading all ideals from disk
Thu Apr  8 17:21:10 2010  memory use: 3039.7 MB
Thu Apr  8 17:21:19 2010  commencing in-memory singleton removal
Thu Apr  8 17:21:28 2010  begin with 178248982 relations and 151660813 unique ideals
Thu Apr  8 17:22:53 2010  reduce to 105079204 relations and 69876929 ideals in 15 passes
Thu Apr  8 17:22:53 2010  max relations containing the same ideal: 33
Thu Apr  8 17:23:06 2010  reading ideals above 720000
Thu Apr  8 17:23:06 2010  commencing singleton removal, initial pass
Thu Apr  8 18:01:04 2010  memory use: 2756.0 MB
Thu Apr  8 18:01:04 2010  reading all ideals from disk
Thu Apr  8 18:04:54 2010  memory use: 4148.9 MB
Thu Apr  8 18:05:08 2010  keeping 88621916 ideals with weight <= 200, target excess is 552062
Thu Apr  8 18:05:26 2010  commencing in-memory singleton removal
Thu Apr  8 18:05:37 2010  begin with 105079204 relations and 88621916 unique ideals
Thu Apr  8 18:08:22 2010  reduce to 105008414 relations and 88551115 ideals in 11 passes
Thu Apr  8 18:08:22 2010  max relations containing the same ideal: 200
Thu Apr  8 18:09:23 2010  removing 3730994 relations and 3330994 ideals in 400000 cliques
Thu Apr  8 18:09:26 2010  commencing in-memory singleton removal
Thu Apr  8 18:09:37 2010  begin with 101277420 relations and 88551115 unique ideals
Thu Apr  8 18:10:54 2010  reduce to 101206287 relations and 85148609 ideals in 7 passes
Thu Apr  8 18:10:54 2010  max relations containing the same ideal: 200
Thu Apr  8 18:11:49 2010  removing 2764511 relations and 2364511 ideals in 400000 cliques
Thu Apr  8 18:11:51 2010  commencing in-memory singleton removal
Thu Apr  8 18:12:04 2010  begin with 98441776 relations and 85148609 unique ideals
Thu Apr  8 18:13:23 2010  reduce to 98399188 relations and 82741348 ideals in 7 passes
Thu Apr  8 18:13:24 2010  max relations containing the same ideal: 198
Thu Apr  8 18:14:21 2010  removing 2447369 relations and 2047369 ideals in 400000 cliques
Thu Apr  8 18:14:23 2010  commencing in-memory singleton removal
Thu Apr  8 18:14:33 2010  begin with 95951819 relations and 82741348 unique ideals
Thu Apr  8 18:15:52 2010  reduce to 95916778 relations and 80658789 ideals in 7 passes
Thu Apr  8 18:15:52 2010  max relations containing the same ideal: 196
Thu Apr  8 18:16:48 2010  removing 2260975 relations and 1860975 ideals in 400000 cliques
Thu Apr  8 18:16:51 2010  commencing in-memory singleton removal
Thu Apr  8 18:17:01 2010  begin with 93655803 relations and 80658789 unique ideals
Thu Apr  8 18:18:11 2010  reduce to 93624788 relations and 78766669 ideals in 6 passes
Thu Apr  8 18:18:11 2010  max relations containing the same ideal: 195
Thu Apr  8 18:19:06 2010  removing 2136359 relations and 1736359 ideals in 400000 cliques
Thu Apr  8 18:19:08 2010  commencing in-memory singleton removal
Thu Apr  8 18:19:19 2010  begin with 91488429 relations and 78766669 unique ideals
Thu Apr  8 18:20:33 2010  reduce to 91460125 relations and 77001888 ideals in 7 passes
Thu Apr  8 18:20:33 2010  max relations containing the same ideal: 193
Thu Apr  8 18:21:25 2010  removing 2039149 relations and 1639149 ideals in 400000 cliques
Thu Apr  8 18:21:28 2010  commencing in-memory singleton removal
Thu Apr  8 18:21:39 2010  begin with 89420976 relations and 77001888 unique ideals
Thu Apr  8 18:22:52 2010  reduce to 89394069 relations and 75335721 ideals in 7 passes
Thu Apr  8 18:22:52 2010  max relations containing the same ideal: 189
Thu Apr  8 18:23:43 2010  removing 1959621 relations and 1559621 ideals in 400000 cliques
Thu Apr  8 18:23:45 2010  commencing in-memory singleton removal
Thu Apr  8 18:23:55 2010  begin with 87434448 relations and 75335721 unique ideals
Thu Apr  8 18:24:55 2010  reduce to 87408794 relations and 73750355 ideals in 6 passes
Thu Apr  8 18:24:55 2010  max relations containing the same ideal: 187
Thu Apr  8 18:25:44 2010  removing 1895768 relations and 1495768 ideals in 400000 cliques
Thu Apr  8 18:25:46 2010  commencing in-memory singleton removal
Thu Apr  8 18:25:56 2010  begin with 85513026 relations and 73750355 unique ideals
Thu Apr  8 18:26:47 2010  reduce to 85488278 relations and 72229743 ideals in 5 passes
Thu Apr  8 18:26:47 2010  max relations containing the same ideal: 183
Thu Apr  8 18:27:32 2010  removing 1845228 relations and 1445228 ideals in 400000 cliques
Thu Apr  8 18:27:34 2010  commencing in-memory singleton removal
Thu Apr  8 18:27:44 2010  begin with 83643050 relations and 72229743 unique ideals
Thu Apr  8 18:28:40 2010  reduce to 83618417 relations and 70759767 ideals in 6 passes
Thu Apr  8 18:28:40 2010  max relations containing the same ideal: 181
Thu Apr  8 18:29:26 2010  removing 1795340 relations and 1395340 ideals in 400000 cliques
Thu Apr  8 18:29:28 2010  commencing in-memory singleton removal
Thu Apr  8 18:29:36 2010  begin with 81823077 relations and 70759767 unique ideals
Thu Apr  8 18:30:32 2010  reduce to 81799939 relations and 69341192 ideals in 6 passes
Thu Apr  8 18:30:33 2010  max relations containing the same ideal: 178
Thu Apr  8 18:31:16 2010  removing 1756731 relations and 1356731 ideals in 400000 cliques
Thu Apr  8 18:31:17 2010  commencing in-memory singleton removal
Thu Apr  8 18:31:27 2010  begin with 80043208 relations and 69341192 unique ideals
Thu Apr  8 18:32:20 2010  reduce to 80020372 relations and 67961527 ideals in 6 passes
Thu Apr  8 18:32:20 2010  max relations containing the same ideal: 177
Thu Apr  8 18:33:03 2010  removing 1724387 relations and 1324387 ideals in 400000 cliques
Thu Apr  8 18:33:05 2010  commencing in-memory singleton removal
Thu Apr  8 18:33:14 2010  begin with 78295985 relations and 67961527 unique ideals
Thu Apr  8 18:34:18 2010  reduce to 78273369 relations and 66614402 ideals in 7 passes
Thu Apr  8 18:34:18 2010  max relations containing the same ideal: 173
Thu Apr  8 18:34:59 2010  removing 1693021 relations and 1293021 ideals in 400000 cliques
Thu Apr  8 18:35:01 2010  commencing in-memory singleton removal
Thu Apr  8 18:35:09 2010  begin with 76580348 relations and 66614402 unique ideals
Thu Apr  8 18:35:51 2010  reduce to 76557476 relations and 65298378 ideals in 5 passes
Thu Apr  8 18:35:52 2010  max relations containing the same ideal: 171
Thu Apr  8 18:36:31 2010  removing 1657496 relations and 1257496 ideals in 400000 cliques
Thu Apr  8 18:36:33 2010  commencing in-memory singleton removal
Thu Apr  8 18:36:41 2010  begin with 74899980 relations and 65298378 unique ideals
Thu Apr  8 18:37:30 2010  reduce to 74875350 relations and 64016122 ideals in 6 passes
Thu Apr  8 18:37:30 2010  max relations containing the same ideal: 169
Thu Apr  8 18:38:08 2010  removing 1652537 relations and 1252537 ideals in 400000 cliques
Thu Apr  8 18:38:10 2010  commencing in-memory singleton removal
Thu Apr  8 18:38:18 2010  begin with 73222813 relations and 64016122 unique ideals
Thu Apr  8 18:39:04 2010  reduce to 73203062 relations and 62743733 ideals in 6 passes
Thu Apr  8 18:39:04 2010  max relations containing the same ideal: 165
Thu Apr  8 18:39:42 2010  removing 1608894 relations and 1208894 ideals in 400000 cliques
Thu Apr  8 18:39:44 2010  commencing in-memory singleton removal
Thu Apr  8 18:39:51 2010  begin with 71594168 relations and 62743733 unique ideals
Thu Apr  8 18:40:39 2010  reduce to 71573127 relations and 61513708 ideals in 6 passes
Thu Apr  8 18:40:39 2010  max relations containing the same ideal: 163
Thu Apr  8 18:41:19 2010  removing 1587188 relations and 1187188 ideals in 400000 cliques
Thu Apr  8 18:41:20 2010  commencing in-memory singleton removal
Thu Apr  8 18:41:28 2010  begin with 69985939 relations and 61513708 unique ideals
Thu Apr  8 18:42:07 2010  reduce to 69963813 relations and 60304288 ideals in 5 passes
Thu Apr  8 18:42:07 2010  max relations containing the same ideal: 160
Thu Apr  8 18:42:44 2010  removing 1582704 relations and 1182704 ideals in 400000 cliques
Thu Apr  8 18:42:46 2010  commencing in-memory singleton removal
Thu Apr  8 18:42:53 2010  begin with 68381109 relations and 60304288 unique ideals
Thu Apr  8 18:43:31 2010  reduce to 68360000 relations and 59100359 ideals in 5 passes
Thu Apr  8 18:43:31 2010  max relations containing the same ideal: 158
Thu Apr  8 18:44:06 2010  removing 1555447 relations and 1155447 ideals in 400000 cliques
Thu Apr  8 18:44:08 2010  commencing in-memory singleton removal
Thu Apr  8 18:44:15 2010  begin with 66804553 relations and 59100359 unique ideals
Thu Apr  8 18:44:57 2010  reduce to 66782514 relations and 57922760 ideals in 5 passes
Thu Apr  8 18:44:57 2010  max relations containing the same ideal: 156
Thu Apr  8 18:45:31 2010  removing 1547930 relations and 1147930 ideals in 400000 cliques
Thu Apr  8 18:45:33 2010  commencing in-memory singleton removal
Thu Apr  8 18:45:40 2010  begin with 65234584 relations and 57922760 unique ideals
Thu Apr  8 18:46:22 2010  reduce to 65212571 relations and 56752697 ideals in 6 passes
Thu Apr  8 18:46:22 2010  max relations containing the same ideal: 154
Thu Apr  8 18:46:56 2010  removing 1521717 relations and 1121717 ideals in 400000 cliques
Thu Apr  8 18:46:58 2010  commencing in-memory singleton removal
Thu Apr  8 18:47:04 2010  begin with 63690854 relations and 56752697 unique ideals
Thu Apr  8 18:47:38 2010  reduce to 63666603 relations and 55606588 ideals in 5 passes
Thu Apr  8 18:47:38 2010  max relations containing the same ideal: 152
Thu Apr  8 18:48:14 2010  removing 1501399 relations and 1101399 ideals in 400000 cliques
Thu Apr  8 18:48:16 2010  commencing in-memory singleton removal
Thu Apr  8 18:48:23 2010  begin with 62165204 relations and 55606588 unique ideals
Thu Apr  8 18:49:04 2010  reduce to 62139400 relations and 54479219 ideals in 6 passes
Thu Apr  8 18:49:05 2010  max relations containing the same ideal: 152
Thu Apr  8 18:49:37 2010  removing 1504700 relations and 1104700 ideals in 400000 cliques
Thu Apr  8 18:49:38 2010  commencing in-memory singleton removal
Thu Apr  8 18:49:44 2010  begin with 60634700 relations and 54479219 unique ideals
Thu Apr  8 18:50:22 2010  reduce to 60612330 relations and 53352003 ideals in 6 passes
Thu Apr  8 18:50:22 2010  max relations containing the same ideal: 149
Thu Apr  8 18:50:53 2010  removing 1479521 relations and 1079521 ideals in 400000 cliques
Thu Apr  8 18:50:54 2010  commencing in-memory singleton removal
Thu Apr  8 18:51:02 2010  begin with 59132809 relations and 53352003 unique ideals
Thu Apr  8 18:51:45 2010  reduce to 59110172 relations and 52249700 ideals in 6 passes
Thu Apr  8 18:51:45 2010  max relations containing the same ideal: 146
Thu Apr  8 18:52:15 2010  removing 1463120 relations and 1063120 ideals in 400000 cliques
Thu Apr  8 18:52:16 2010  commencing in-memory singleton removal
Thu Apr  8 18:52:22 2010  begin with 57647052 relations and 52249700 unique ideals
Thu Apr  8 18:52:52 2010  reduce to 57623329 relations and 51162707 ideals in 5 passes
Thu Apr  8 18:52:52 2010  max relations containing the same ideal: 143
Thu Apr  8 18:53:21 2010  removing 1456346 relations and 1056346 ideals in 400000 cliques
Thu Apr  8 18:53:23 2010  commencing in-memory singleton removal
Thu Apr  8 18:53:28 2010  begin with 56166983 relations and 51162707 unique ideals
Thu Apr  8 18:53:57 2010  reduce to 56143138 relations and 50082357 ideals in 5 passes
Thu Apr  8 18:53:57 2010  max relations containing the same ideal: 138
Thu Apr  8 18:54:26 2010  removing 1447354 relations and 1047354 ideals in 400000 cliques
Thu Apr  8 18:54:27 2010  commencing in-memory singleton removal
Thu Apr  8 18:54:34 2010  begin with 54695784 relations and 50082357 unique ideals
Thu Apr  8 18:55:02 2010  reduce to 54670825 relations and 49009878 ideals in 5 passes
Thu Apr  8 18:55:02 2010  max relations containing the same ideal: 136
Thu Apr  8 18:55:32 2010  removing 1437691 relations and 1037691 ideals in 400000 cliques
Thu Apr  8 18:55:34 2010  commencing in-memory singleton removal
Thu Apr  8 18:55:39 2010  begin with 53233134 relations and 49009878 unique ideals
Thu Apr  8 18:56:07 2010  reduce to 53207601 relations and 47946462 ideals in 5 passes
Thu Apr  8 18:56:07 2010  max relations containing the same ideal: 135
Thu Apr  8 18:56:35 2010  removing 1429212 relations and 1029212 ideals in 400000 cliques
Thu Apr  8 18:56:36 2010  commencing in-memory singleton removal
Thu Apr  8 18:56:41 2010  begin with 51778389 relations and 47946462 unique ideals
Thu Apr  8 18:57:11 2010  reduce to 51751970 relations and 46890612 ideals in 5 passes
Thu Apr  8 18:57:11 2010  max relations containing the same ideal: 132
Thu Apr  8 18:57:38 2010  removing 1428211 relations and 1028211 ideals in 400000 cliques
Thu Apr  8 18:57:39 2010  commencing in-memory singleton removal
Thu Apr  8 18:57:44 2010  begin with 50323759 relations and 46890612 unique ideals
Thu Apr  8 18:58:10 2010  reduce to 50297101 relations and 45835525 ideals in 5 passes
Thu Apr  8 18:58:10 2010  max relations containing the same ideal: 131
Thu Apr  8 18:58:36 2010  removing 1421333 relations and 1021333 ideals in 400000 cliques
Thu Apr  8 18:58:38 2010  commencing in-memory singleton removal
Thu Apr  8 18:58:45 2010  begin with 48875768 relations and 45835525 unique ideals
Thu Apr  8 18:59:14 2010  reduce to 48848784 relations and 44786951 ideals in 5 passes
Thu Apr  8 18:59:14 2010  max relations containing the same ideal: 129
Thu Apr  8 18:59:39 2010  removing 1410898 relations and 1010898 ideals in 400000 cliques
Thu Apr  8 18:59:40 2010  commencing in-memory singleton removal
Thu Apr  8 18:59:45 2010  begin with 47437886 relations and 44786951 unique ideals
Thu Apr  8 19:00:09 2010  reduce to 47409413 relations and 43747341 ideals in 5 passes
Thu Apr  8 19:00:10 2010  max relations containing the same ideal: 127
Thu Apr  8 19:00:35 2010  removing 1407198 relations and 1007198 ideals in 400000 cliques
Thu Apr  8 19:00:37 2010  commencing in-memory singleton removal
Thu Apr  8 19:00:41 2010  begin with 46002215 relations and 43747341 unique ideals
Thu Apr  8 19:01:05 2010  reduce to 45972805 relations and 42710448 ideals in 5 passes
Thu Apr  8 19:01:05 2010  max relations containing the same ideal: 125
Thu Apr  8 19:01:30 2010  removing 1403129 relations and 1003129 ideals in 400000 cliques
Thu Apr  8 19:01:32 2010  commencing in-memory singleton removal
Thu Apr  8 19:01:36 2010  begin with 44569676 relations and 42710448 unique ideals
Thu Apr  8 19:02:04 2010  reduce to 44539315 relations and 41676653 ideals in 6 passes
Thu Apr  8 19:02:04 2010  max relations containing the same ideal: 123
Thu Apr  8 19:02:27 2010  removing 1399842 relations and 999842 ideals in 400000 cliques
Thu Apr  8 19:02:28 2010  commencing in-memory singleton removal
Thu Apr  8 19:02:32 2010  begin with 43139473 relations and 41676653 unique ideals
Thu Apr  8 19:03:00 2010  reduce to 43107400 relations and 40644389 ideals in 6 passes
Thu Apr  8 19:03:00 2010  max relations containing the same ideal: 122
Thu Apr  8 19:03:22 2010  removing 1397126 relations and 997126 ideals in 400000 cliques
Thu Apr  8 19:03:24 2010  commencing in-memory singleton removal
Thu Apr  8 19:03:28 2010  begin with 41710274 relations and 40644389 unique ideals
Thu Apr  8 19:03:49 2010  reduce to 41676913 relations and 39613549 ideals in 5 passes
Thu Apr  8 19:03:49 2010  max relations containing the same ideal: 117
Thu Apr  8 19:04:10 2010  removing 1396464 relations and 996464 ideals in 400000 cliques
Thu Apr  8 19:04:11 2010  commencing in-memory singleton removal
Thu Apr  8 19:04:15 2010  begin with 40280449 relations and 39613549 unique ideals
Thu Apr  8 19:04:39 2010  reduce to 40245377 relations and 38581628 ideals in 6 passes
Thu Apr  8 19:04:39 2010  max relations containing the same ideal: 111
Thu Apr  8 19:05:00 2010  removing 1395821 relations and 995821 ideals in 400000 cliques
Thu Apr  8 19:05:01 2010  commencing in-memory singleton removal
Thu Apr  8 19:05:05 2010  begin with 38849556 relations and 38581628 unique ideals
Thu Apr  8 19:05:24 2010  reduce to 38812836 relations and 37548661 ideals in 5 passes
Thu Apr  8 19:05:24 2010  max relations containing the same ideal: 111
Thu Apr  8 19:05:45 2010  removing 1398676 relations and 998676 ideals in 400000 cliques
Thu Apr  8 19:05:46 2010  commencing in-memory singleton removal
Thu Apr  8 19:05:50 2010  begin with 37414160 relations and 37548661 unique ideals
Thu Apr  8 19:06:09 2010  reduce to 37375323 relations and 36510694 ideals in 5 passes
Thu Apr  8 19:06:09 2010  max relations containing the same ideal: 107
Thu Apr  8 19:06:29 2010  removing 878404 relations and 654167 ideals in 224237 cliques
Thu Apr  8 19:06:30 2010  commencing in-memory singleton removal
Thu Apr  8 19:06:33 2010  begin with 36496919 relations and 36510694 unique ideals
Thu Apr  8 19:06:52 2010  reduce to 36484372 relations and 35843928 ideals in 5 passes
Thu Apr  8 19:06:52 2010  max relations containing the same ideal: 106
Thu Apr  8 19:07:03 2010  relations with 0 large ideals: 18314
Thu Apr  8 19:07:03 2010  relations with 1 large ideals: 4859
Thu Apr  8 19:07:03 2010  relations with 2 large ideals: 73566
Thu Apr  8 19:07:03 2010  relations with 3 large ideals: 551435
Thu Apr  8 19:07:03 2010  relations with 4 large ideals: 2269764
Thu Apr  8 19:07:03 2010  relations with 5 large ideals: 5667484
Thu Apr  8 19:07:03 2010  relations with 6 large ideals: 8986995
Thu Apr  8 19:07:03 2010  relations with 7+ large ideals: 18911955
Thu Apr  8 19:07:03 2010  commencing 2-way merge
Thu Apr  8 19:07:30 2010  reduce to 25709756 relation sets and 25069312 unique ideals
Thu Apr  8 19:07:30 2010  commencing full merge
Thu Apr  8 19:15:38 2010  memory use: 3012.4 MB
Thu Apr  8 19:15:41 2010  found 13691598 cycles, need 13603512
Thu Apr  8 19:15:46 2010  weight of 13603512 cycles is about 952610116 (70.03/cycle)
Thu Apr  8 19:15:46 2010  distribution of cycle lengths:
Thu Apr  8 19:15:46 2010  1 relations: 1276855
Thu Apr  8 19:15:46 2010  2 relations: 1628368
Thu Apr  8 19:15:46 2010  3 relations: 1764973
Thu Apr  8 19:15:46 2010  4 relations: 1707107
Thu Apr  8 19:15:46 2010  5 relations: 1585842
Thu Apr  8 19:15:46 2010  6 relations: 1383667
Thu Apr  8 19:15:46 2010  7 relations: 1160691
Thu Apr  8 19:15:46 2010  8 relations: 925828
Thu Apr  8 19:15:46 2010  9 relations: 705603
Thu Apr  8 19:15:46 2010  10+ relations: 1464578
Thu Apr  8 19:15:46 2010  heaviest cycle: 19 relations
Thu Apr  8 19:15:50 2010  commencing cycle optimization
Thu Apr  8 19:16:11 2010  start with 71588961 relations
Thu Apr  8 19:18:10 2010  pruned 2010965 relations
Thu Apr  8 19:18:11 2010  memory use: 2272.5 MB
Thu Apr  8 19:18:11 2010  distribution of cycle lengths:
Thu Apr  8 19:18:11 2010  1 relations: 1276855
Thu Apr  8 19:18:11 2010  2 relations: 1662218
Thu Apr  8 19:18:11 2010  3 relations: 1831615
Thu Apr  8 19:18:11 2010  4 relations: 1758121
Thu Apr  8 19:18:11 2010  5 relations: 1638676
Thu Apr  8 19:18:11 2010  6 relations: 1413900
Thu Apr  8 19:18:11 2010  7 relations: 1177125
Thu Apr  8 19:18:11 2010  8 relations: 918311
Thu Apr  8 19:18:11 2010  9 relations: 684099
Thu Apr  8 19:18:11 2010  10+ relations: 1242592
Thu Apr  8 19:18:11 2010  heaviest cycle: 18 relations
Thu Apr  8 19:18:37 2010  RelProcTime: 16129
Thu Apr  8 19:18:45 2010  
Thu Apr  8 19:18:45 2010  commencing linear algebra
Thu Apr  8 19:18:48 2010  read 13603512 cycles
Thu Apr  8 19:19:08 2010  cycles contain 36242714 unique relations
Thu Apr  8 19:36:51 2010  read 36242714 relations
Thu Apr  8 19:38:00 2010  using 20 quadratic characters above 2147482410
Thu Apr  8 19:40:39 2010  building initial matrix
Thu Apr  8 19:49:08 2010  memory use: 4804.3 MB
Thu Apr  8 19:49:23 2010  read 13603512 cycles
Thu Apr  8 19:51:34 2010  matrix is 13603335 x 13603512 (4079.3 MB) with weight 1192573648 (87.67/col)
Thu Apr  8 19:51:34 2010  sparse part has weight 919733490 (67.61/col)
Thu Apr  8 19:54:01 2010  filtering completed in 2 passes
Thu Apr  8 19:54:05 2010  matrix is 13602341 x 13602518 (4079.3 MB) with weight 1192550115 (87.67/col)
Thu Apr  8 19:54:05 2010  sparse part has weight 919728237 (67.61/col)
Thu Apr  8 19:55:40 2010  read 13602518 cycles
Thu Apr  8 19:57:54 2010  matrix is 13602341 x 13602518 (4079.3 MB) with weight 1192550115 (87.67/col)
Thu Apr  8 19:57:54 2010  sparse part has weight 919728237 (67.61/col)
Thu Apr  8 19:57:54 2010  saving the first 48 matrix rows for later
Thu Apr  8 19:58:01 2010  matrix is 13602293 x 13602518 (3897.7 MB) with weight 953343573 (70.09/col)
Thu Apr  8 19:58:01 2010  sparse part has weight 885733067 (65.12/col)
Thu Apr  8 19:58:01 2010  matrix includes 64 packed rows
Thu Apr  8 19:58:01 2010  using block size 65536 for processor cache size 8192 kB
Thu Apr  8 19:58:54 2010  commencing Lanczos iteration (4 threads)
Thu Apr  8 19:58:54 2010  memory use: 4258.3 MB
Thu Apr  8 19:59:43 2010  linear algebra at 0.0%, ETA 228h59m



prp104 factor: 28220606013264572316732097406716970350693523363177348174484390753364754555231654618223868298116899729323
prp138 factor: 225180919480455587232921329092455649226793513032810624199089292067634362411203908970959705956739963931727784094275228339020101724513724011
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61302118Makoto KamadaJuly 2, 2009 04:00:00 UTC 2009 年 7 月 2 日 (木) 13 時 0 分 0 秒 (日本時間)
1184Dmitry DomanovJuly 4, 2009 14:54:03 UTC 2009 年 7 月 4 日 (土) 23 時 54 分 3 秒 (日本時間)
403e62545Dmitry DomanovJuly 11, 2009 20:27:13 UTC 2009 年 7 月 12 日 (日) 5 時 27 分 13 秒 (日本時間)
4511e64500Dmitry DomanovSeptember 1, 2009 18:43:51 UTC 2009 年 9 月 2 日 (水) 3 時 43 分 51 秒 (日本時間)

16×10251-79

c195

name 名前KTakahashi
date 日付September 14, 2015 15:09:10 UTC 2015 年 9 月 15 日 (火) 0 時 9 分 10 秒 (日本時間)
composite number 合成数
546111169952425248527287913259819915185845384765885860592630325498488939082379024695324471117217172583830792760404369150537347550436550209974824865882934364721796999942085869699995225533440220869<195>
prime factors 素因数
36742549755458498608446591356385597463<38>
composite cofactor 合成数の残り
14863181069008271407321603848373522339881708107047362824904715512698487029667725874752149193652407888618308873949111035884467048618137224584297710498834328963<158>
factorization results 素因数分解の結果
Input number is 546111169952425248527287913259819915185845384765885860592630325498488939082379024695324471117217172583830792760404369150537347550436550209974824865882934364721796999942085869699995225533440220869 (195 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2770186786
Step 1 took 17659ms
Step 2 took 7582ms
********** Factor found in step 2: 36742549755458498608446591356385597463
Found probable prime factor of 38 digits: 36742549755458498608446591356385597463
Composite cofactor 14863181069008271407321603848373522339881708107047362824904715512698487029667725874752149193652407888618308873949111035884467048618137224584297710498834328963 has 158 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 15:07:42 UTC 2015 年 9 月 15 日 (火) 0 時 7 分 42 秒 (日本時間)
403e62104KTakahashiSeptember 14, 2015 15:07:42 UTC 2015 年 9 月 15 日 (火) 0 時 7 分 42 秒 (日本時間)
4511e63974KTakahashiSeptember 14, 2015 15:07:42 UTC 2015 年 9 月 15 日 (火) 0 時 7 分 42 秒 (日本時間)

16×10252-79

c214

name 名前KTakahashi
date 日付September 14, 2015 22:41:22 UTC 2015 年 9 月 15 日 (火) 7 時 41 分 22 秒 (日本時間)
composite number 合成数
6376576260893555569318445181175435952280845298718386676759407499828002641007018773862563125367481635691830084382339123214721960817016926193210589796854282511147635931799319869698723154596571574892420293807520707917<214>
prime factors 素因数
1370056539332335368735249324954311<34>
composite cofactor 合成数の残り
4654243148243377681848701116119478836657000914268226604500938519546541149447984806708457884725897711797591103282042999007193774059517326912791308618463176400926800167533221275542347<181>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 6376576260893555569318445181175435952280845298718386676759407499828002641007018773862563125367481635691830084382339123214721960817016926193210589796854282511147635931799319869698723154596571574892420293807520707917 (214 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1102447384
Step 1 took 7083ms
Step 2 took 3681ms
********** Factor found in step 2: 1370056539332335368735249324954311
Found probable prime factor of 34 digits: 1370056539332335368735249324954311
Composite cofactor 4654243148243377681848701116119478836657000914268226604500938519546541149447984806708457884725897711797591103282042999007193774059517326912791308618463176400926800167533221275542347 has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 22:40:15 UTC 2015 年 9 月 15 日 (火) 7 時 40 分 15 秒 (日本時間)
403e62104KTakahashiSeptember 14, 2015 22:40:15 UTC 2015 年 9 月 15 日 (火) 7 時 40 分 15 秒 (日本時間)
4511e6157474KTakahashiSeptember 14, 2015 22:40:15 UTC 2015 年 9 月 15 日 (火) 7 時 40 分 15 秒 (日本時間)
1500Dmitry DomanovSeptember 3, 2016 23:39:52 UTC 2016 年 9 月 4 日 (日) 8 時 39 分 52 秒 (日本時間)
5043e6720 / 7115Dmitry DomanovSeptember 19, 2016 23:59:07 UTC 2016 年 9 月 20 日 (火) 8 時 59 分 7 秒 (日本時間)

16×10253-79

c252

name 名前KTakahashi
date 日付September 14, 2015 14:43:13 UTC 2015 年 9 月 14 日 (月) 23 時 43 分 13 秒 (日本時間)
composite number 合成数
772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599<252>
prime factors 素因数
589751466273777250726526352125257<33>
1310631518709205800608114206270184484481901662161739613521071223431357402292551517647509829472265957622581411818993226028850719683533757475589160029083573031303589839418101377847867927863600880716500885871620311892177407<220>
factorization results 素因数分解の結果
Input number is 772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599 (252 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4160847280
Step 1 took 8923ms
Step 2 took 4477ms
********** Factor found in step 2: 589751466273777250726526352125257
Found probable prime factor of 33 digits: 589751466273777250726526352125257
Probable prime cofactor 1310631518709205800608114206270184484481901662161739613521071223431357402292551517647509829472265957622581411818993226028850719683533757475589160029083573031303589839418101377847867927863600880716500885871620311892177407 has 220 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)

16×10255-79

c249

name 名前KTakahashi
date 日付September 14, 2015 14:45:34 UTC 2015 年 9 月 14 日 (月) 23 時 45 分 34 秒 (日本時間)
composite number 合成数
427210864954880792014766757152597932016386420344358123819112404812412910728869529828543458465798739733288518913599566338250984300508025810264814397839210166144708442068511218997874919654319124540271045535311367699296738824450805080210041425836554303<249>
prime factors 素因数
221578995339934960625288849793271<33>
1928029614447326656316064291860021448641311954464267574760189452592139614541957537599348761956439721427080451130233066412935870139421868775237035603736441644225592507822828754096131291360721335570723811787798469843193<217>
factorization results 素因数分解の結果
Input number is 427210864954880792014766757152597932016386420344358123819112404812412910728869529828543458465798739733288518913599566338250984300508025810264814397839210166144708442068511218997874919654319124540271045535311367699296738824450805080210041425836554303 (249 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2898519859
Step 1 took 8331ms
Step 2 took 4399ms
********** Factor found in step 2: 221578995339934960625288849793271
Found probable prime factor of 33 digits: 221578995339934960625288849793271
Probable prime cofactor 1928029614447326656316064291860021448641311954464267574760189452592139614541957537599348761956439721427080451130233066412935870139421868775237035603736441644225592507822828754096131291360721335570723811787798469843193 has 217 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)

16×10256-79

c225

composite cofactor 合成数の残り
436707837449851715102194427931374735189995911309321972566562161107449693685503167830888936398377448962332846498528655837010937566576927936043617656793956541793191119213945997672076281604348773798678290463638195657889741415861<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovSeptember 15, 2015 07:36:32 UTC 2015 年 9 月 15 日 (火) 16 時 36 分 32 秒 (日本時間)
2018KTakahashiSeptember 15, 2015 10:01:39 UTC 2015 年 9 月 15 日 (火) 19 時 1 分 39 秒 (日本時間)
4511e6146363KTakahashiSeptember 15, 2015 10:01:50 UTC 2015 年 9 月 15 日 (火) 19 時 1 分 50 秒 (日本時間)
1400Dmitry DomanovSeptember 9, 2016 06:56:06 UTC 2016 年 9 月 9 日 (金) 15 時 56 分 6 秒 (日本時間)
5043e6720 / 7137Dmitry DomanovSeptember 26, 2016 00:07:27 UTC 2016 年 9 月 26 日 (月) 9 時 7 分 27 秒 (日本時間)

16×10258-79

c253

composite cofactor 合成数の残り
5458446382875216163005584331802580275835764900620454777283447227228641014015584546728906601547401318965337842010045588261883975945991402264641173675141245828979369460743024190810910206168931410186211486822798702390833630989237649497464722231603926942789<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 14:49:19 UTC 2015 年 9 月 14 日 (月) 23 時 49 分 19 秒 (日本時間)
403e62104KTakahashiSeptember 14, 2015 14:49:19 UTC 2015 年 9 月 14 日 (月) 23 時 49 分 19 秒 (日本時間)
4511e6147474KTakahashiSeptember 14, 2015 14:49:19 UTC 2015 年 9 月 14 日 (月) 23 時 49 分 19 秒 (日本時間)
1400Dmitry DomanovSeptember 6, 2016 14:38:56 UTC 2016 年 9 月 6 日 (火) 23 時 38 分 56 秒 (日本時間)
5043e6720 / 7138Dmitry DomanovSeptember 26, 2016 00:08:49 UTC 2016 年 9 月 26 日 (月) 9 時 8 分 49 秒 (日本時間)

16×10260-79

c211

name 名前KTakahashi
date 日付September 14, 2015 14:20:31 UTC 2015 年 9 月 14 日 (月) 23 時 20 分 31 秒 (日本時間)
composite number 合成数
3856866584378850811330620098221747312538684942115154918212967357135199917139026215762597298061732617545303904389780083830844745786191227107962602054390270898482997057292333397793569835168674844954711444909083999<211>
prime factors 素因数
616747409705991510213555873827791<33>
109372920606203455283867783476630433<36>
3282009815651961219991838830540185721<37>
17421181165634412842905476791288443121600681929954654557139986514210000761340220095197864790689539897141273<107>
factorization results 素因数分解の結果
Input number is 3856866584378850811330620098221747312538684942115154918212967357135199917139026215762597298061732617545303904389780083830844745786191227107962602054390270898482997057292333397793569835168674844954711444909083999 (211 digits)
Using B1=5000000, B2=298797622, polynomial x^1, x0=2270268000
Step 1 took 2979ms
Step 2 took 578ms
********** Factor found in step 2: 109372920606203455283867783476630433
Found probable prime factor of 36 digits: 109372920606203455283867783476630433
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2620653838
Step 1 took 16848ms
Step 2 took 7145ms
********** Factor found in step 2: 616747409705991510213555873827791
Found probable prime factor of 33 digits: 616747409705991510213555873827791
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1029002644
Step 1 took 11840ms
********** Factor found in step 1: 3282009815651961219991838830540185721
Found probable prime factor of 37 digits: 3282009815651961219991838830540185721
Probable prime cofactor 17421181165634412842905476791288443121600681929954654557139986514210000761340220095197864790689539897141273 has 107 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 14:16:23 UTC 2015 年 9 月 14 日 (月) 23 時 16 分 23 秒 (日本時間)

16×10261-79

c234

composite cofactor 合成数の残り
666451837799290840131004257806800329054937941235523478462430484741410238940021645538817526750604840035660110809976218416804619234499362413241193544547628895270130311793457396746975134199240706956288645824045535207510372543423085706109<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovSeptember 15, 2015 07:36:46 UTC 2015 年 9 月 15 日 (火) 16 時 36 分 46 秒 (日本時間)
2018KTakahashiSeptember 15, 2015 10:02:23 UTC 2015 年 9 月 15 日 (火) 19 時 2 分 23 秒 (日本時間)
4511e6146363KTakahashiSeptember 15, 2015 10:02:23 UTC 2015 年 9 月 15 日 (火) 19 時 2 分 23 秒 (日本時間)
1400Dmitry DomanovSeptember 9, 2016 06:56:41 UTC 2016 年 9 月 9 日 (金) 15 時 56 分 41 秒 (日本時間)
5043e6720 / 7137Dmitry DomanovOctober 5, 2016 20:42:23 UTC 2016 年 10 月 6 日 (木) 5 時 42 分 23 秒 (日本時間)

16×10264-79

c259

name 名前KTakahashi
date 日付September 14, 2015 14:50:58 UTC 2015 年 9 月 14 日 (月) 23 時 50 分 58 秒 (日本時間)
composite number 合成数
1360560530530170472282023109290681121261743019197764190880179770862898951424502623713430577696552314105126600582540998153124114838451719531671255582231045457262710377734971142085972289293604625701719723000080188036268121922210121737003819518584363979193968227<259>
prime factors 素因数
1019551213236953716496678800678172631293<40>
1334470022560762566502722225703154001905381745672715106181055469020326773401248635639557030400513971519826025459992901568460070302259624806707313450167515438516712134634447273117078000843583862976437697648358174711804639<220>
factorization results 素因数分解の結果
Input number is 1360560530530170472282023109290681121261743019197764190880179770862898951424502623713430577696552314105126600582540998153124114838451719531671255582231045457262710377734971142085972289293604625701719723000080188036268121922210121737003819518584363979193968227 (259 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3002958471
Step 1 took 7987ms
Step 2 took 4103ms
********** Factor found in step 2: 1019551213236953716496678800678172631293
Found probable prime factor of 40 digits: 1019551213236953716496678800678172631293
Probable prime cofactor 1334470022560762566502722225703154001905381745672715106181055469020326773401248635639557030400513971519826025459992901568460070302259624806707313450167515438516712134634447273117078000843583862976437697648358174711804639 has 220 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)

16×10265-79

c242

composite cofactor 合成数の残り
78024366966633770388473497060373759310660901397179288378338859759063221011261757381194506720819048008518982984770538046016304085311690544912162320509091529232774478894240625876864078456914114296359522860195172386832147443885795692166012733747<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovSeptember 15, 2015 07:36:59 UTC 2015 年 9 月 15 日 (火) 16 時 36 分 59 秒 (日本時間)
2018KTakahashiSeptember 15, 2015 10:02:42 UTC 2015 年 9 月 15 日 (火) 19 時 2 分 42 秒 (日本時間)
4511e6146363KTakahashiSeptember 15, 2015 10:02:42 UTC 2015 年 9 月 15 日 (火) 19 時 2 分 42 秒 (日本時間)
1400Dmitry DomanovSeptember 9, 2016 06:57:13 UTC 2016 年 9 月 9 日 (金) 15 時 57 分 13 秒 (日本時間)
5043e6720 / 7137Dmitry DomanovOctober 6, 2016 19:00:39 UTC 2016 年 10 月 7 日 (金) 4 時 0 分 39 秒 (日本時間)

16×10267-79

c260

name 名前KTakahashi
date 日付September 14, 2015 22:50:52 UTC 2015 年 9 月 15 日 (火) 7 時 50 分 52 秒 (日本時間)
composite number 合成数
13388566424848153720330029936357558281586503181660180379017579613639595016316683557305514824398545911648152283402138389529460247166040262085237807746125641960735838254951523435979698210483123833773754828198421891516431031537605835916780650854513662588121902017<260>
prime factors 素因数
27199928423112413485942142827497012590169511<44>
composite cofactor 合成数の残り
492228002095460538290996032629555013581205853289935908267601467641645836220367095279538984539139029842964665947435346292508982248351447047939118608485637311926347838137489662163646143200568888896302800757987020585047<216>
factorization results 素因数分解の結果
Input number is 13388566424848153720330029936357558281586503181660180379017579613639595016316683557305514824398545911648152283402138389529460247166040262085237807746125641960735838254951523435979698210483123833773754828198421891516431031537605835916780650854513662588121902017 (260 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1618539548
Step 1 took 24695ms
Step 2 took 10015ms
********** Factor found in step 2: 27199928423112413485942142827497012590169511
Found probable prime factor of 44 digits: 27199928423112413485942142827497012590169511
Composite cofactor 492228002095460538290996032629555013581205853289935908267601467641645836220367095279538984539139029842964665947435346292508982248351447047939118608485637311926347838137489662163646143200568888896302800757987020585047 has 216 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 22:50:01 UTC 2015 年 9 月 15 日 (火) 7 時 50 分 1 秒 (日本時間)
403e62104KTakahashiSeptember 14, 2015 22:50:01 UTC 2015 年 9 月 15 日 (火) 7 時 50 分 1 秒 (日本時間)
4511e6147474KTakahashiSeptember 14, 2015 22:50:01 UTC 2015 年 9 月 15 日 (火) 7 時 50 分 1 秒 (日本時間)
1400Dmitry DomanovSeptember 9, 2016 06:58:33 UTC 2016 年 9 月 9 日 (金) 15 時 58 分 33 秒 (日本時間)
5043e6720 / 7138Dmitry DomanovSeptember 25, 2016 23:16:18 UTC 2016 年 9 月 26 日 (月) 8 時 16 分 18 秒 (日本時間)

16×10268-79

c174

name 名前KTakahashi
date 日付September 14, 2015 14:32:13 UTC 2015 年 9 月 14 日 (月) 23 時 32 分 13 秒 (日本時間)
composite number 合成数
731954830925634265394474113712789595193184513026526779154763895083146668576708503765006651316826231607419851697143789439928584148749887534491181747168528514398559472327906811<174>
prime factors 素因数
9890436073877562899875428744160291<34>
74006325449982923096080796605691032273002500506197316055667462333765630773689037585096349110754638729813956840196488530891302648535569307721<140>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 731954830925634265394474113712789595193184513026526779154763895083146668576708503765006651316826231607419851697143789439928584148749887534491181747168528514398559472327906811 (174 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4146908610
Step 1 took 5601ms
Step 2 took 3042ms
********** Factor found in step 2: 9890436073877562899875428744160291
Found probable prime factor of 34 digits: 9890436073877562899875428744160291
Probable prime cofactor 74006325449982923096080796605691032273002500506197316055667462333765630773689037585096349110754638729813956840196488530891302648535569307721 has 140 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)

16×10269-79

c267

name 名前Serge Batalov
date 日付September 15, 2015 16:12:27 UTC 2015 年 9 月 16 日 (水) 1 時 12 分 27 秒 (日本時間)
composite number 合成数
190544241991187328807907586042634274145528164820769322377039418840061926878647135881862569965463856139097296653566750029772537811123020126235560319161605335238775753245206621412409193759676074788614981541026557103727521733952602119804692151959032987971894724306299869<267>
prime factors 素因数
102443042587930922188928593559611287662138030753<48>
1860001784187888178459889417797897821313709158447324173192102487223777108653645237935306597502998135835312649080144186493686907616539146562928442358375832351088895548289724850819313794987518721550666977869062687253693373<220>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=2450599263
Step 1 took 338272ms
Step 2 took 170626ms
********** Factor found in step 2: 102443042587930922188928593559611287662138030753
Found probable prime factor of 48 digits: 102443042587930922188928593559611287662138030753
Probable prime cofactor ((16*10^269-7)/9/3/311)/102443042587930922188928593559611287662138030753 has 220 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 14:52:52 UTC 2015 年 9 月 14 日 (月) 23 時 52 分 52 秒 (日本時間)
403e62104KTakahashiSeptember 14, 2015 14:52:52 UTC 2015 年 9 月 14 日 (月) 23 時 52 分 52 秒 (日本時間)
4511e6397474KTakahashiSeptember 14, 2015 14:52:52 UTC 2015 年 9 月 14 日 (月) 23 時 52 分 52 秒 (日本時間)
3900Serge BatalovSeptember 15, 2015 06:14:23 UTC 2015 年 9 月 15 日 (火) 15 時 14 分 23 秒 (日本時間)
5043e62000 / 6577Serge BatalovSeptember 15, 2015 16:12:12 UTC 2015 年 9 月 16 日 (水) 1 時 12 分 12 秒 (日本時間)

16×10271-79

c241

name 名前Dmitry Domanov
date 日付September 10, 2016 19:37:29 UTC 2016 年 9 月 11 日 (日) 4 時 37 分 29 秒 (日本時間)
composite number 合成数
2845756270253250398373913584716119112196414882262715014059044386259462850358738071966869667484525010471743196755896576743745579662305377373981533283744187255742450606291978111149903158564793982478394315035742756292303417657040133437473196691<241>
prime factors 素因数
166092045236020613650785030079424240903<39>
composite cofactor 合成数の残り
17133609657279885577961896982204589633449164764642120082023318774651855764415298766568512554581923947001430465869747881156819441932921199330985518187685466738377108969853396025532340323744696874454699797<203>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=76743336
Step 1 took 97618ms
Step 2 took 30102ms
********** Factor found in step 2: 166092045236020613650785030079424240903
Found probable prime factor of 39 digits: 166092045236020613650785030079424240903

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:03:38 UTC 2015 年 9 月 15 日 (火) 19 時 3 分 38 秒 (日本時間)
403e62104KTakahashiSeptember 15, 2015 10:03:38 UTC 2015 年 9 月 15 日 (火) 19 時 3 分 38 秒 (日本時間)
4511e6147474KTakahashiSeptember 15, 2015 10:03:38 UTC 2015 年 9 月 15 日 (火) 19 時 3 分 38 秒 (日本時間)
1400Dmitry DomanovSeptember 9, 2016 16:44:23 UTC 2016 年 9 月 10 日 (土) 1 時 44 分 23 秒 (日本時間)
5043e6720 / 7138Dmitry DomanovSeptember 22, 2016 00:51:16 UTC 2016 年 9 月 22 日 (木) 9 時 51 分 16 秒 (日本時間)

16×10272-79

c248

composite cofactor 合成数の残り
24574420340796744125476333430090122634529101942487813584170114637198775736333149028476283336265959752303367356428506253453110657957542641708497211277220191101998259400016692662340960005238779201495981181898458502176161536985745472208718445097851423<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:03:57 UTC 2015 年 9 月 15 日 (火) 19 時 3 分 57 秒 (日本時間)
403e62104KTakahashiSeptember 15, 2015 10:03:57 UTC 2015 年 9 月 15 日 (火) 19 時 3 分 57 秒 (日本時間)
4511e6147474KTakahashiSeptember 15, 2015 10:03:57 UTC 2015 年 9 月 15 日 (火) 19 時 3 分 57 秒 (日本時間)
1400Dmitry DomanovSeptember 9, 2016 16:44:59 UTC 2016 年 9 月 10 日 (土) 1 時 44 分 59 秒 (日本時間)
5043e6720 / 7138Dmitry DomanovOctober 2, 2016 20:19:56 UTC 2016 年 10 月 3 日 (月) 5 時 19 分 56 秒 (日本時間)

16×10273-79

c270

composite cofactor 合成数の残り
176349348058503896218408667570457075466499134786011087965259178432474732444973492488619956133099670447155815670843941848802477708340221979741868641779364921910304312843743455785911891456976269990851877569465110383670050369782539210175357382975674811802180118815373254417<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 14:54:59 UTC 2015 年 9 月 14 日 (月) 23 時 54 分 59 秒 (日本時間)
403e62104KTakahashiSeptember 14, 2015 14:54:59 UTC 2015 年 9 月 14 日 (月) 23 時 54 分 59 秒 (日本時間)
4511e6147474KTakahashiSeptember 14, 2015 14:54:59 UTC 2015 年 9 月 14 日 (月) 23 時 54 分 59 秒 (日本時間)
1400Dmitry DomanovSeptember 9, 2016 16:45:21 UTC 2016 年 9 月 10 日 (土) 1 時 45 分 21 秒 (日本時間)
5043e6720 / 7138Dmitry DomanovOctober 6, 2016 18:53:40 UTC 2016 年 10 月 7 日 (金) 3 時 53 分 40 秒 (日本時間)

16×10275-79

c213

composite cofactor 合成数の残り
149255005337533198839282845977584961596860145119756519095465193218434452838179743688467784343399225367737036965874976921166721054869663396531983116071862867209378503502048179137744751455037450109675604341734162193<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:04:32 UTC 2015 年 9 月 15 日 (火) 19 時 4 分 32 秒 (日本時間)
403e62104KTakahashiSeptember 15, 2015 10:04:32 UTC 2015 年 9 月 15 日 (火) 19 時 4 分 32 秒 (日本時間)
4511e6147474KTakahashiSeptember 15, 2015 10:04:32 UTC 2015 年 9 月 15 日 (火) 19 時 4 分 32 秒 (日本時間)
1400Dmitry DomanovSeptember 9, 2016 16:47:15 UTC 2016 年 9 月 10 日 (土) 1 時 47 分 15 秒 (日本時間)
5043e6720 / 7138Dmitry DomanovSeptember 21, 2016 06:39:02 UTC 2016 年 9 月 21 日 (水) 15 時 39 分 2 秒 (日本時間)

16×10277-79

c223

composite cofactor 合成数の残り
9398935521955118915819079275820396995348429767954419499666654632706978360014859746622859466549704719099433721960397647579876949205855201878570688516806927641975144814457486040416683666411818343220157574745880102032059709743<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:05:03 UTC 2015 年 9 月 15 日 (火) 19 時 5 分 3 秒 (日本時間)
403e62104KTakahashiSeptember 15, 2015 10:05:03 UTC 2015 年 9 月 15 日 (火) 19 時 5 分 3 秒 (日本時間)
4511e6147474KTakahashiSeptember 15, 2015 10:05:03 UTC 2015 年 9 月 15 日 (火) 19 時 5 分 3 秒 (日本時間)
1400Dmitry DomanovSeptember 9, 2016 16:47:39 UTC 2016 年 9 月 10 日 (土) 1 時 47 分 39 秒 (日本時間)
5043e6720 / 7138Dmitry DomanovSeptember 24, 2016 01:10:14 UTC 2016 年 9 月 24 日 (土) 10 時 10 分 14 秒 (日本時間)

16×10279-79

c263

composite cofactor 合成数の残り
41001066147049499869072826043155151633347081004535796459123091614730193272475952742480834173891822883878042076753190699315017379268717772163428104502166792160081782550652804464741332907039469567910965601296963437942179229978719926362439077590518139194733517071597<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:05:22 UTC 2015 年 9 月 15 日 (火) 19 時 5 分 22 秒 (日本時間)
403e62104KTakahashiSeptember 15, 2015 10:05:22 UTC 2015 年 9 月 15 日 (火) 19 時 5 分 22 秒 (日本時間)
4511e6147474KTakahashiSeptember 15, 2015 10:05:22 UTC 2015 年 9 月 15 日 (火) 19 時 5 分 22 秒 (日本時間)
1400Dmitry DomanovSeptember 5, 2016 19:37:11 UTC 2016 年 9 月 6 日 (火) 4 時 37 分 11 秒 (日本時間)
5043e6720 / 7138Dmitry DomanovOctober 2, 2016 01:25:56 UTC 2016 年 10 月 2 日 (日) 10 時 25 分 56 秒 (日本時間)

16×10280-79

c253

name 名前Dmitry Domanov
date 日付September 7, 2016 06:12:59 UTC 2016 年 9 月 7 日 (水) 15 時 12 分 59 秒 (日本時間)
composite number 合成数
1609838429506262159453228782539387778468151866336599289307927540869170620531793928869926643612489373709331803152223423675100488378924490141955471637487162317225406791550041130192845728096260933207875036073119029912904278401110832357279684393837977579837<253>
prime factors 素因数
1284750701611033944581457710244853605287624491<46>
1253035649241194571643354033627260167067834229759811432643303820975918234566088863486531321719478424409802168492605451444753425669008063626458323135462939035659424072507848897781611323426658252958916857732407<208>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2240572074
Step 1 took 180616ms
********** Factor found in step 1: 1284750701611033944581457710244853605287624491
Found probable prime factor of 46 digits: 1284750701611033944581457710244853605287624491

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:05:43 UTC 2015 年 9 月 15 日 (火) 19 時 5 分 43 秒 (日本時間)
403e62104KTakahashiSeptember 15, 2015 10:05:43 UTC 2015 年 9 月 15 日 (火) 19 時 5 分 43 秒 (日本時間)
4511e61474 / 397474KTakahashiSeptember 15, 2015 10:05:43 UTC 2015 年 9 月 15 日 (火) 19 時 5 分 43 秒 (日本時間)
1400Dmitry DomanovSeptember 6, 2016 14:39:43 UTC 2016 年 9 月 6 日 (火) 23 時 39 分 43 秒 (日本時間)

16×10281-79

c274

composite cofactor 合成数の残り
3598710645852704939705616157505452592058049110034246432611069632597126428199770122910880713108625837040696925763869237960717648669220082323160072981941865659002494853388314614516203252037402722268509513307425810538892052043086885733633860759690831259671914412242574302932953<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:06:00 UTC 2015 年 9 月 15 日 (火) 19 時 6 分 0 秒 (日本時間)
403e6604KTakahashiSeptember 15, 2015 10:06:00 UTC 2015 年 9 月 15 日 (火) 19 時 6 分 0 秒 (日本時間)
4511e61800Dmitry DomanovSeptember 5, 2016 19:24:12 UTC 2016 年 9 月 6 日 (火) 4 時 24 分 12 秒 (日本時間)
5043e6720 / 7121Dmitry DomanovSeptember 25, 2016 20:04:03 UTC 2016 年 9 月 26 日 (月) 5 時 4 分 3 秒 (日本時間)

16×10282-79

c280

name 名前Serge Batalov
date 日付September 17, 2015 06:17:15 UTC 2015 年 9 月 17 日 (木) 15 時 17 分 15 秒 (日本時間)
composite number 合成数
7972097658196312904833084205281514698555057299451918285999003487792725460886895864474339810662680617837568510214250124564025909317389138016940707523667164922770303936223218734429496761335326357747882411559541604384653712007972097658196312904833084205281514698555057299451918285999<280>
prime factors 素因数
38000986979604939268482137167769772815989<41>
composite cofactor 合成数の残り
209786594818574666147914661489791468532851842585628385769473382873459938979870614035957510114996033098994371082908317572075820797727727564230346891845527537654115100320216550432421655800164966171137244948638352789809672794881912113770179091<240>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1256853064
Step 1 took 26712ms
Step 2 took 15980ms
********** Factor found in step 2: 38000986979604939268482137167769772815989
Found probable prime factor of 41 digits: 38000986979604939268482137167769772815989
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 14:59:48 UTC 2015 年 9 月 14 日 (月) 23 時 59 分 48 秒 (日本時間)
403e63004604KTakahashiSeptember 14, 2015 14:59:48 UTC 2015 年 9 月 14 日 (月) 23 時 59 分 48 秒 (日本時間)
2400Serge BatalovSeptember 17, 2015 01:57:07 UTC 2015 年 9 月 17 日 (木) 10 時 57 分 7 秒 (日本時間)
4511e61200Dmitry DomanovSeptember 9, 2016 16:48:27 UTC 2016 年 9 月 10 日 (土) 1 時 48 分 27 秒 (日本時間)
5043e6740 / 7165Dmitry DomanovOctober 1, 2016 22:43:30 UTC 2016 年 10 月 2 日 (日) 7 時 43 分 30 秒 (日本時間)

16×10283-79

c266

name 名前KTakahashi
date 日付September 14, 2015 22:48:58 UTC 2015 年 9 月 15 日 (火) 7 時 48 分 58 秒 (日本時間)
composite number 合成数
26302432434755232869057810169140973663085694216606974266809856020858098449292899070588882985456465802145726912996208105997397994359131398885880283614510532412535384194241560237911260658698940114605572436416473594317935261508846517208574480812061230425244964965412569<266>
prime factors 素因数
43975144974567098346971650420697<32>
composite cofactor 合成数の残り
598120425753392531938468590097414043491346597036912516506928108714377116154407927202164208892622398529750612925132069391414304667631610094249701151709877659668206726966547038025358787766823228844408967323042668774706194288748612523777<234>
factorization results 素因数分解の結果
Input number is 26302432434755232869057810169140973663085694216606974266809856020858098449292899070588882985456465802145726912996208105997397994359131398885880283614510532412535384194241560237911260658698940114605572436416473594317935261508846517208574480812061230425244964965412569 (266 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2139439744
Step 1 took 24836ms
********** Factor found in step 1: 43975144974567098346971650420697
Found probable prime factor of 32 digits: 43975144974567098346971650420697
Composite cofactor 598120425753392531938468590097414043491346597036912516506928108714377116154407927202164208892622398529750612925132069391414304667631610094249701151709877659668206726966547038025358787766823228844408967323042668774706194288748612523777 has 234 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 22:48:18 UTC 2015 年 9 月 15 日 (火) 7 時 48 分 18 秒 (日本時間)
403e62104KTakahashiSeptember 14, 2015 22:48:18 UTC 2015 年 9 月 15 日 (火) 7 時 48 分 18 秒 (日本時間)
4511e6147474KTakahashiSeptember 14, 2015 22:48:18 UTC 2015 年 9 月 15 日 (火) 7 時 48 分 18 秒 (日本時間)
1400Dmitry DomanovSeptember 7, 2016 14:21:22 UTC 2016 年 9 月 7 日 (水) 23 時 21 分 22 秒 (日本時間)
5043e6720 / 7138Dmitry DomanovOctober 1, 2016 22:42:59 UTC 2016 年 10 月 2 日 (日) 7 時 42 分 59 秒 (日本時間)

16×10284-79

c271

composite cofactor 合成数の残り
3102233353138716531194470831035049119239697623393508770897844305504129607783953533997464307421358777803009158187882456622646456957003228761625800818925583179793478337109467000157048624255861664620070781685505451994970235759290966937330877105636984252903120807103138614551<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:06:39 UTC 2015 年 9 月 15 日 (火) 19 時 6 分 39 秒 (日本時間)
403e62104KTakahashiSeptember 15, 2015 10:06:39 UTC 2015 年 9 月 15 日 (火) 19 時 6 分 39 秒 (日本時間)
4511e6147474KTakahashiSeptember 15, 2015 10:06:39 UTC 2015 年 9 月 15 日 (火) 19 時 6 分 39 秒 (日本時間)
1400Dmitry DomanovSeptember 3, 2016 23:38:24 UTC 2016 年 9 月 4 日 (日) 8 時 38 分 24 秒 (日本時間)
5043e6720 / 7138Dmitry DomanovSeptember 25, 2016 20:06:41 UTC 2016 年 9 月 26 日 (月) 5 時 6 分 41 秒 (日本時間)

16×10285-79

c275

composite cofactor 合成数の残り
95758140106585761141717964344365573049458095731451487024097270785577700385355894096144208595055810894579293370799354650829584765026624876569707726605155990507547543964696347443357861968188648021991563522672336595819875819401433096554370160745284241332432561717681064136974813<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:06:55 UTC 2015 年 9 月 15 日 (火) 19 時 6 分 55 秒 (日本時間)
403e6604KTakahashiSeptember 15, 2015 10:06:55 UTC 2015 年 9 月 15 日 (火) 19 時 6 分 55 秒 (日本時間)
4511e61800Dmitry DomanovSeptember 3, 2016 21:00:20 UTC 2016 年 9 月 4 日 (日) 6 時 0 分 20 秒 (日本時間)
5043e6720 / 7121Dmitry DomanovSeptember 24, 2016 21:53:28 UTC 2016 年 9 月 25 日 (日) 6 時 53 分 28 秒 (日本時間)

16×10286-79

c279

composite cofactor 合成数の残り
211294174667277671313906400190746872651758254166985572304197693020738022740517060325475988362936353719115478794125075874582608001700094058790382871158822286574768412043312088852982613316805057814160204772474319084812349967022195659375053925409772994479122242479126806433299619631<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:07:09 UTC 2015 年 9 月 15 日 (火) 19 時 7 分 9 秒 (日本時間)
403e6604KTakahashiSeptember 15, 2015 10:07:09 UTC 2015 年 9 月 15 日 (火) 19 時 7 分 9 秒 (日本時間)
4511e61800Dmitry DomanovSeptember 2, 2016 23:46:37 UTC 2016 年 9 月 3 日 (土) 8 時 46 分 37 秒 (日本時間)
5043e6720 / 7121Dmitry DomanovSeptember 24, 2016 21:52:43 UTC 2016 年 9 月 25 日 (日) 6 時 52 分 43 秒 (日本時間)

16×10288-79

c253

name 名前KTakahashi
date 日付September 14, 2015 22:45:36 UTC 2015 年 9 月 15 日 (火) 7 時 45 分 36 秒 (日本時間)
composite number 合成数
7656732861518534952799008153511476740362285691033346100581699278201602685086152622710249090308318142557682843164364658937171652980344174912271338267764953061412227644677315015958159258096400133341861458081918998195693276714484493541143568351149759117367<253>
prime factors 素因数
30568488916409517418386179952791<32>
composite cofactor 合成数の残り
250477963842311892695706243323036107128345909034873683335105352896765844596873006415298986998321726452343037906517133216275831333696159562956348132159206251948995784027609194351600570837219997469173506139925489125506935137<222>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 7656732861518534952799008153511476740362285691033346100581699278201602685086152622710249090308318142557682843164364658937171652980344174912271338267764953061412227644677315015958159258096400133341861458081918998195693276714484493541143568351149759117367 (253 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=454077004
Step 1 took 8845ms
Step 2 took 4383ms
********** Factor found in step 2: 30568488916409517418386179952791
Found probable prime factor of 32 digits: 30568488916409517418386179952791
Composite cofactor 250477963842311892695706243323036107128345909034873683335105352896765844596873006415298986998321726452343037906517133216275831333696159562956348132159206251948995784027609194351600570837219997469173506139925489125506935137 has 222 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 22:43:56 UTC 2015 年 9 月 15 日 (火) 7 時 43 分 56 秒 (日本時間)
403e62104KTakahashiSeptember 14, 2015 22:43:56 UTC 2015 年 9 月 15 日 (火) 7 時 43 分 56 秒 (日本時間)
4511e6147474KTakahashiSeptember 14, 2015 22:43:56 UTC 2015 年 9 月 15 日 (火) 7 時 43 分 56 秒 (日本時間)
1400Dmitry DomanovSeptember 8, 2016 11:08:42 UTC 2016 年 9 月 8 日 (木) 20 時 8 分 42 秒 (日本時間)
5043e6720 / 7138Dmitry DomanovSeptember 21, 2016 06:38:04 UTC 2016 年 9 月 21 日 (水) 15 時 38 分 4 秒 (日本時間)

16×10290-79

c285

composite cofactor 合成数の残り
100014445836520512431514326850584481296017193483383756241292101627928883978179598315731728501535440525190857254444688854746457441446698957580685560270611586461019463498759102017797695654666120837828513855970071677227879601859993652833231099816979815022032244782355751508858560758369537<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 15:01:53 UTC 2015 年 9 月 15 日 (火) 0 時 1 分 53 秒 (日本時間)
403e63004604KTakahashiSeptember 14, 2015 15:01:53 UTC 2015 年 9 月 15 日 (火) 0 時 1 分 53 秒 (日本時間)
2400Serge BatalovSeptember 17, 2015 01:57:08 UTC 2015 年 9 月 17 日 (木) 10 時 57 分 8 秒 (日本時間)
4511e61200Dmitry DomanovSeptember 2, 2016 23:29:21 UTC 2016 年 9 月 3 日 (土) 8 時 29 分 21 秒 (日本時間)
5043e6750 / 7165Dmitry DomanovSeptember 24, 2016 01:09:31 UTC 2016 年 9 月 24 日 (土) 10 時 9 分 31 秒 (日本時間)

16×10291-79

c284

composite cofactor 合成数の残り
39275219710304359313981995645247098363337036029218534595747883557211536281810973409490635428943931587398116674173511238983371443920044165573692532906613962463833015040816047947070396680430937431278337730721940666763573361899378885229002993171858225990905385939259748464850100858641481<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 15:02:46 UTC 2015 年 9 月 15 日 (火) 0 時 2 分 46 秒 (日本時間)
403e63004604KTakahashiSeptember 14, 2015 15:02:46 UTC 2015 年 9 月 15 日 (火) 0 時 2 分 46 秒 (日本時間)
2400Serge BatalovSeptember 17, 2015 01:57:09 UTC 2015 年 9 月 17 日 (木) 10 時 57 分 9 秒 (日本時間)
4511e61200Dmitry DomanovSeptember 2, 2016 23:29:52 UTC 2016 年 9 月 3 日 (土) 8 時 29 分 52 秒 (日本時間)
5043e6750 / 7165Dmitry DomanovSeptember 24, 2016 01:09:01 UTC 2016 年 9 月 24 日 (土) 10 時 9 分 1 秒 (日本時間)

16×10292-79

c255

composite cofactor 合成数の残り
174859889582935573532663764345532721240458299765591157060947248337073000348881972420838941349960753855387756413473642078763377858873061711452056969078281432235917664610668175651441392669721651303289588611493840093360502011935556550319518872088983949927723<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 15, 2015 10:07:56 UTC 2015 年 9 月 15 日 (火) 19 時 7 分 56 秒 (日本時間)
403e62104KTakahashiSeptember 15, 2015 10:07:56 UTC 2015 年 9 月 15 日 (火) 19 時 7 分 56 秒 (日本時間)
4511e6147474KTakahashiSeptember 15, 2015 10:07:56 UTC 2015 年 9 月 15 日 (火) 19 時 7 分 56 秒 (日本時間)
1400Dmitry DomanovSeptember 9, 2016 16:49:10 UTC 2016 年 9 月 10 日 (土) 1 時 49 分 10 秒 (日本時間)
5043e6720 / 7138Dmitry DomanovSeptember 24, 2016 20:37:13 UTC 2016 年 9 月 25 日 (日) 5 時 37 分 13 秒 (日本時間)

16×10294-79

c295

composite cofactor 合成数の残り
1777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<295>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
786KTakahashiSeptember 14, 2015 15:05:30 UTC 2015 年 9 月 15 日 (火) 0 時 5 分 30 秒 (日本時間)
403e6604KTakahashiSeptember 14, 2015 15:05:30 UTC 2015 年 9 月 15 日 (火) 0 時 5 分 30 秒 (日本時間)
4511e64400Serge BatalovSeptember 15, 2015 05:57:02 UTC 2015 年 9 月 15 日 (火) 14 時 57 分 2 秒 (日本時間)
5043e644002000Serge BatalovSeptember 15, 2015 16:14:23 UTC 2015 年 9 月 16 日 (水) 1 時 14 分 23 秒 (日本時間)
2400Dmitry DomanovAugust 15, 2016 17:52:20 UTC 2016 年 8 月 16 日 (火) 2 時 52 分 20 秒 (日本時間)
5511e72400 / 15918Dmitry DomanovSeptember 2, 2016 11:39:26 UTC 2016 年 9 月 2 日 (金) 20 時 39 分 26 秒 (日本時間)

16×10295-79

c272

name 名前Dmitry Domanov
date 日付September 15, 2015 08:07:14 UTC 2015 年 9 月 15 日 (火) 17 時 7 分 14 秒 (日本時間)
composite number 合成数
80434659087701692177831401808112773728558167380145656195167926482629666122523357036525689513507121154087946043954906023507167561961372657951889182682077755415885751827206167853946530987905890539276623770964826463037684285171602915490429453562725047043926189739992777115827<272>
prime factors 素因数
1283246376110553827373132186222938832223<40>
composite cofactor 合成数の残り
62680604897942148097911949039427823463366120920669736365269350707974098173630449519975643656716611584288439312228895173979722042362534427662420845660822457481954006065275106558742174778330243576852962973675497040674786497418860290349<233>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3692562372
Step 1 took 33962ms
Step 2 took 10195ms
********** Factor found in step 2: 1283246376110553827373132186222938832223
Found probable prime factor of 40 digits: 1283246376110553827373132186222938832223

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
403e62318600Dmitry DomanovSeptember 14, 2015 22:40:09 UTC 2015 年 9 月 15 日 (火) 7 時 40 分 9 秒 (日本時間)
1718KTakahashiSeptember 15, 2015 14:07:03 UTC 2015 年 9 月 15 日 (火) 23 時 7 分 3 秒 (日本時間)
4511e6146363KTakahashiSeptember 15, 2015 14:07:13 UTC 2015 年 9 月 15 日 (火) 23 時 7 分 13 秒 (日本時間)
1400Dmitry DomanovSeptember 7, 2016 14:20:48 UTC 2016 年 9 月 7 日 (水) 23 時 20 分 48 秒 (日本時間)
5043e6720 / 7137Dmitry DomanovSeptember 23, 2016 17:08:53 UTC 2016 年 9 月 24 日 (土) 2 時 8 分 53 秒 (日本時間)

16×10297-79

c284

name 名前KTakahashi
date 日付September 14, 2015 22:47:26 UTC 2015 年 9 月 15 日 (火) 7 時 47 分 26 秒 (日本時間)
composite number 合成数
37844001495158759146640357460584234155232877621606102056310871653320128040838562594645187279921367806217414375559880900094245913948580540795337350805223221082604320021172411463663393434843059277151113406483501716862133376110037613825453529977429587610319510457513830435503668028291953<284>
prime factors 素因数
1786814506132724808952560298289450465443<40>
composite cofactor 合成数の残り
21179591594578033887171014485211470409764506340565602667666110836839734842600850025569041250827625326352910202416221365034582577948226529284034462996989876257086499467147236540696325207958257129047380749942635040793592243370772547925161056868571<245>
factorization results 素因数分解の結果
Input number is 37844001495158759146640357460584234155232877621606102056310871653320128040838562594645187279921367806217414375559880900094245913948580540795337350805223221082604320021172411463663393434843059277151113406483501716862133376110037613825453529977429587610319510457513830435503668028291953 (284 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1531411695
Step 1 took 9266ms
Step 2 took 4415ms
********** Factor found in step 2: 1786814506132724808952560298289450465443
Found probable prime factor of 40 digits: 1786814506132724808952560298289450465443
Composite cofactor 21179591594578033887171014485211470409764506340565602667666110836839734842600850025569041250827625326352910202416221365034582577948226529284034462996989876257086499467147236540696325207958257129047380749942635040793592243370772547925161056868571 has 245 digits
software ソフトウェア
GMP-ECM 6.4.4

c245

name 名前KTakahashi
date 日付September 15, 2015 13:59:03 UTC 2015 年 9 月 15 日 (火) 22 時 59 分 3 秒 (日本時間)
composite number 合成数
21179591594578033887171014485211470409764506340565602667666110836839734842600850025569041250827625326352910202416221365034582577948226529284034462996989876257086499467147236540696325207958257129047380749942635040793592243370772547925161056868571<245>
prime factors 素因数
30166316847360073321486720132938707<35>
composite cofactor 合成数の残り
702094050849681727149085108996529896120186301722061883800711875534721983532133697993435262780507114997767289014331277617654054577189141386755308995576249343302884478504845244818430018540969704941844930222715353<210>
factorization results 素因数分解の結果
Input number is 21179591594578033887171014485211470409764506340565602667666110836839734842600850025569041250827625326352910202416221365034582577948226529284034462996989876257086499467147236540696325207958257129047380749942635040793592243370772547925161056868571 (245 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2960988086
Step 1 took 22340ms
Step 2 took 9141ms
********** Factor found in step 2: 30166316847360073321486720132938707
Found probable prime factor of 35 digits: 30166316847360073321486720132938707
Composite cofactor 702094050849681727149085108996529896120186301722061883800711875534721983532133697993435262780507114997767289014331277617654054577189141386755308995576249343302884478504845244818430018540969704941844930222715353 has 210 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
403e62318600Dmitry DomanovSeptember 14, 2015 22:39:48 UTC 2015 年 9 月 15 日 (火) 7 時 39 分 48 秒 (日本時間)
1718KTakahashiSeptember 14, 2015 22:46:34 UTC 2015 年 9 月 15 日 (火) 7 時 46 分 34 秒 (日本時間)
4511e6146363KTakahashiSeptember 14, 2015 22:46:43 UTC 2015 年 9 月 15 日 (火) 7 時 46 分 43 秒 (日本時間)
1400Dmitry DomanovSeptember 7, 2016 06:44:12 UTC 2016 年 9 月 7 日 (水) 15 時 44 分 12 秒 (日本時間)
5043e6720 / 7137Dmitry DomanovSeptember 20, 2016 07:42:12 UTC 2016 年 9 月 20 日 (火) 16 時 42 分 12 秒 (日本時間)

16×10298-79

c285

name 名前Dmitry Domanov
date 日付September 3, 2016 09:11:39 UTC 2016 年 9 月 3 日 (土) 18 時 11 分 39 秒 (日本時間)
composite number 合成数
226424314825505353810130931940679316832548006464938743955630582330886532863290950041483142841693120044662081815280811902429076322673193098385792115923672170856140663521026409600861675388171687571348869674343015592937193808820544009878690525152174211546497082624260976220797672026141989<285>
prime factors 素因数
4679162788178338475744428343051076503724029999<46>
48389920392928968806344882096876427612967950874240762407041462323046107046367119007014765899594509855544885650450722578712118143079911773873121910856816907710607159395449281631642923889609502034955366722970298078946514245300013326578188011<239>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2186624126
Step 1 took 146748ms
Step 2 took 43873ms
********** Factor found in step 2: 4679162788178338475744428343051076503724029999
Found probable prime factor of 46 digits: 4679162788178338475744428343051076503724029999

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
403e6818600Dmitry DomanovSeptember 14, 2015 22:39:35 UTC 2015 年 9 月 15 日 (火) 7 時 39 分 35 秒 (日本時間)
218KTakahashiSeptember 15, 2015 10:08:57 UTC 2015 年 9 月 15 日 (火) 19 時 8 分 57 秒 (日本時間)
4511e61800 / 4294Dmitry DomanovSeptember 2, 2016 23:27:54 UTC 2016 年 9 月 3 日 (土) 8 時 27 分 54 秒 (日本時間)

16×10299-79

c291

composite cofactor 合成数の残り
818601545845419646205538377790485850500675303042928331246894503931681573766629077558095973918626193989127648406424354438887270641539244032595160259131368628125863194545289120035565535781882193742798164238349901600947689688715194329184451443968589830966603543943328350050376662387432202019397<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
403e6818600Dmitry DomanovSeptember 14, 2015 22:39:20 UTC 2015 年 9 月 15 日 (火) 7 時 39 分 20 秒 (日本時間)
218KTakahashiSeptember 15, 2015 10:09:19 UTC 2015 年 9 月 15 日 (火) 19 時 9 分 19 秒 (日本時間)
4511e61800Dmitry DomanovAugust 29, 2016 20:16:19 UTC 2016 年 8 月 30 日 (火) 5 時 16 分 19 秒 (日本時間)
5043e6720 / 7118Dmitry DomanovSeptember 19, 2016 13:39:44 UTC 2016 年 9 月 19 日 (月) 22 時 39 分 44 秒 (日本時間)

16×10300-79

c281

name 名前Dmitry Domanov
date 日付September 15, 2015 00:08:16 UTC 2015 年 9 月 15 日 (火) 9 時 8 分 16 秒 (日本時間)
composite number 合成数
56712601528287673823870295349700956410851329543475522739409517438938306927176091403231954122163121294089604818367577524964076930504929694216253385438029850297194225518693541225931305889987281861670944397543674395783830262218065240416481764374040814587278062585270896002791984002777<281>
prime factors 素因数
9693390799864302254268907<25>
composite cofactor 合成数の残り
5850646352675845210429177048617712588352757514406431911112348613062441947642655922248603705057580510674248480455743431041897767158805673446174535385833699167711121586018757632488551048834709991381359727397848127360603824838656764180178148622157671879726411<256>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3913975781
Step 1 took 41593ms
Step 2 took 12792ms
********** Factor found in step 2: 9693390799864302254268907
Found probable prime factor of 25 digits: 9693390799864302254268907

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 14, 2015 01:00:00 UTC 2015 年 9 月 14 日 (月) 10 時 0 分 0 秒 (日本時間)
403e623181200Dmitry DomanovSeptember 14, 2015 22:39:06 UTC 2015 年 9 月 15 日 (火) 7 時 39 分 6 秒 (日本時間)
1118KTakahashiSeptember 15, 2015 14:04:44 UTC 2015 年 9 月 15 日 (火) 23 時 4 分 44 秒 (日本時間)
4511e696363KTakahashiSeptember 15, 2015 14:04:53 UTC 2015 年 9 月 15 日 (火) 23 時 4 分 53 秒 (日本時間)
900Dmitry DomanovSeptember 15, 2015 20:58:15 UTC 2015 年 9 月 16 日 (水) 5 時 58 分 15 秒 (日本時間)
5043e6840 / 7230Dmitry DomanovSeptember 30, 2015 00:09:58 UTC 2015 年 9 月 30 日 (水) 9 時 9 分 58 秒 (日本時間)
5511e78 / 17391Dmitry DomanovSeptember 30, 2015 11:35:17 UTC 2015 年 9 月 30 日 (水) 20 時 35 分 17 秒 (日本時間)