Table of contents 目次

9×10155-1

c146

name 名前Robert Backstrom
date 日付April 4, 2007 14:12:52 UTC 2007 年 4 月 4 日 (水) 23 時 12 分 52 秒 (日本時間)
composite number 合成数
36351289845585703754357293351820365559093981716913508546008889472133037852153863056158211461589371839905909794802634372142747091837105359572325133<146>
prime factors 素因数
884030473598129112046273401306743817009226878392237244963203638811597<69>
41119951100362876196136581974904931337399314543041289673940222500296800769089<77>
factorization results 素因数分解の結果
Number: n
N=36351289845585703754357293351820365559093981716913508546008889472133037852153863056158211461589371839905909794802634372142747091837105359572325133
  ( 146 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=884030473598129112046273401306743817009226878392237244963203638811597 (pp69)
 r2=41119951100362876196136581974904931337399314543041289673940222500296800769089 (pp77)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 28.22 hours.
Scaled time: 29.07 units (timescale=1.030).
Factorization parameters were as follows:
name: KA_8_9_155
n: 36351289845585703754357293351820365559093981716913508546008889472133037852153863056158211461589371839905909794802634372142747091837105359572325133
type: snfs
skew: .68
deg: 5
c5: 9
c0: -1
m: 10000000000000000000000000000000
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, 1200001)
Primes: RFBsize:216816, AFBsize:216846, largePrimes:6333419 encountered
Relations: rels:5866544, finalFF:544993
Max relations in full relation-set: 48
Initial matrix: 433726 x 544993 with sparse part having weight 28008672.
Pruned matrix : 331320 x 333552 with weight 13763173.
Total sieving time: 26.29 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.64 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 28.22 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 3000+ stepping 00
Memory: 2076900k/2097088k available (1540k kernel code, 19412k reserved, 599k data, 144k init, 0k highmem)
Calibrating delay loop... 4292.60 BogoMIPS
x86info v1.12b.  Dave Jones 2001-2003
Feedback to <davej@redhat.com>.

Found 1 CPU
--------------------------------------------------------------------------
Family: 6 Model: 10 Stepping: 0
CPU Model : Athlon XP (Barton)
2.2Ghz processor (estimate).

9×10165-1

c139

name 名前Robert Backstrom
date 日付April 14, 2008 04:24:02 UTC 2008 年 4 月 14 日 (月) 13 時 24 分 2 秒 (日本時間)
composite number 合成数
2257140180752772341749697563476673520949004624616088331617541248692208685477716800333936267810500726303368685688650280142696027086834845763<139>
prime factors 素因数
107006813752674037531328510242074918993021462449577391740200262799<66>
21093424816570316132097077241926854067827836439105917046567434042812717837<74>
factorization results 素因数分解の結果
Number: n
N=2257140180752772341749697563476673520949004624616088331617541248692208685477716800333936267810500726303368685688650280142696027086834845763
  ( 139 digits)
SNFS difficulty: 165 digits.
Divisors found:

Mon Apr 14 14:15:03 2008  prp66 factor: 107006813752674037531328510242074918993021462449577391740200262799
Mon Apr 14 14:15:03 2008  prp74 factor: 21093424816570316132097077241926854067827836439105917046567434042812717837
Mon Apr 14 14:15:03 2008  elapsed time 00:46:12 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 38.69 hours.
Scaled time: 32.38 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_8_9_165
n: 2257140180752772341749697563476673520949004624616088331617541248692208685477716800333936267810500726303368685688650280142696027086834845763
type: snfs
deg: 5
c5: 9
c0: -1
skew: 0.72
m: 1000000000000000000000000000000000
rlim: 3200000
alim: 3200000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2500363)
Primes: RFBsize:230209, AFBsize:230192, largePrimes:5532216 encountered
Relations: rels:5417337, finalFF:495898
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 38.51 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,48,48,2.5,2.5,100000
total time: 38.69 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).

9×10171-1

c147

name 名前matsui
date 日付May 28, 2009 17:01:15 UTC 2009 年 5 月 29 日 (金) 2 時 1 分 15 秒 (日本時間)
composite number 合成数
153038947651244726688666449207685636156794373899467047177951914194053059387772278586968400747355401308035645995849761200170389692110687828408878351<147>
prime factors 素因数
42679129855580064934964485511968838445123658843<47>
3585802901069120875169780945172816193378262142753545298800676974244410697305766876766285241909080157<100>
factorization results 素因数分解の結果
N=153038947651244726688666449207685636156794373899467047177951914194053059387772278586968400747355401308035645995849761200170389692110687828408878351
  ( 147 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=42679129855580064934964485511968838445123658843 (pp47)
 r2=3585802901069120875169780945172816193378262142753545298800676974244410697305766876766285241909080157 (pp100)
Version: Msieve v. 1.41
Total time: 78.73 hours.
Scaled time: 174.07 units (timescale=2.211).
Factorization parameters were as follows:
n: 153038947651244726688666449207685636156794373899467047177951914194053059387772278586968400747355401308035645995849761200170389692110687828408878351
m: 30000000000000000000000000000000000
deg: 5
c5: 10
c0: -27
skew: 1.22
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 300000

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, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 945937 x 946185
Total sieving time: 76.03 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.28 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 78.73 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Andreas TeteMay 18, 2009 12:00:25 UTC 2009 年 5 月 18 日 (月) 21 時 0 分 25 秒 (日本時間)
255e4221Andreas TeteMay 18, 2009 12:04:03 UTC 2009 年 5 月 18 日 (月) 21 時 4 分 3 秒 (日本時間)
3025e4401Andreas TeteMay 18, 2009 12:43:24 UTC 2009 年 5 月 18 日 (月) 21 時 43 分 24 秒 (日本時間)
351e6125 / 828Andreas TeteMay 18, 2009 13:36:39 UTC 2009 年 5 月 18 日 (月) 22 時 36 分 39 秒 (日本時間)

9×10173-1

c152

name 名前Serge Batalov
date 日付October 7, 2008 17:21:08 UTC 2008 年 10 月 8 日 (水) 2 時 21 分 8 秒 (日本時間)
composite number 合成数
10085137911059899814189806692481744412911545555803075485333634280013678423569068540994799208916444935039759847996393359202808120784082348266403890225923<152>
prime factors 素因数
3806940299291622726460350337947914704889277467532053374128676991<64>
2649145276309295977725794028033536754856664922424512618104600287851523960480215455939453<88>
factorization results 素因数分解の結果
SNFS difficulty: 173 digits.
Divisors found:
 r1=3806940299291622726460350337947914704889277467532053374128676991
 r2=2649145276309295977725794028033536754856664922424512618104600287851523960480215455939453
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.729).
Factorization parameters were as follows:
n: 10085137911059899814189806692481744412911545555803075485333634280013678423569068540994799208916444935039759847996393359202808120784082348266403890225923
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 9000
c0: -1
skew: 0.16
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8000001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1301900 x 1302148
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,173,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,54,54,2.6,2.6,100000
total time: 20.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

9×10177-1

c174

name 名前Serge Batalov
date 日付August 20, 2008 17:52:11 UTC 2008 年 8 月 21 日 (木) 2 時 52 分 11 秒 (日本時間)
composite number 合成数
133584670416932599112404078785270063675359565404538910245944220978730351921392842830213883900078666528134415863921749068617992370831045077404895136033722707909696762798153563<174>
prime factors 素因数
2795376519729848150784923706882701877318922481507609115407740172075186231071<76>
47787719999108578060151819968036562451065721814882830579492456551763376466710619837746260674550853<98>
factorization results 素因数分解の結果
Number: 89999_177
N=133584670416932599112404078785270063675359565404538910245944220978730351921392842830213883900078666528134415863921749068617992370831045077404895136033722707909696762798153563
  ( 174 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=2795376519729848150784923706882701877318922481507609115407740172075186231071
 r2=47787719999108578060151819968036562451065721814882830579492456551763376466710619837746260674550853
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.651).
Factorization parameters were as follows:
n: 133584670416932599112404078785270063675359565404538910245944220978730351921392842830213883900078666528134415863921749068617992370831045077404895136033722707909696762798153563
Y1: 1
Y0: -100000000000000000000000000000000000
c5: 900
c0: -1
skew: 0.26
type: snfs
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [5700000, 9700001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1301455 x 1301703
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 7.00 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,11400000,11400000,27,27,52,52,2.6,2.6,100000

total time: 76.00 hours.
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

9×10181-1

c142

name 名前Jo Yeong Uk
date 日付July 3, 2010 15:00:21 UTC 2010 年 7 月 4 日 (日) 0 時 0 分 21 秒 (日本時間)
composite number 合成数
7678083141389664656001425818220694158822776458038611028631283111975249628251012772571482748321660481753969878560664066088398797796345069148879<142>
prime factors 素因数
17738923518084523699884246605505981299970476762186445669696079694627<68>
432838167071524524325390063835161654015589966865342977397547062601404043877<75>
factorization results 素因数分解の結果
Number: 89999_181
N=7678083141389664656001425818220694158822776458038611028631283111975249628251012772571482748321660481753969878560664066088398797796345069148879
  ( 142 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=17738923518084523699884246605505981299970476762186445669696079694627
 r2=432838167071524524325390063835161654015589966865342977397547062601404043877
Version: 
Total time: 87.33 hours.
Scaled time: 208.89 units (timescale=2.392).
Factorization parameters were as follows:
n: 7678083141389664656001425818220694158822776458038611028631283111975249628251012772571482748321660481753969878560664066088398797796345069148879
m: 1000000000000000000000000000000000000
deg: 5
c5: 90
c0: -1
skew: 0.41
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18391029
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1275297 x 1275545
Total sieving time: 81.36 hours.
Total relation processing time: 2.32 hours.
Matrix solve time: 3.49 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 87.33 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046580k/8912896k available (2573k kernel code, 339584k reserved, 1305k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.64 BogoMIPS (lpj=2672823)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
software ソフトウェア
GGNFS / Msieve v1.39
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
2011e374Jo Yeong UkFebruary 17, 2010 21:20:14 UTC 2010 年 2 月 18 日 (木) 6 時 20 分 14 秒 (日本時間)
255e4204Jo Yeong UkFebruary 17, 2010 21:20:21 UTC 2010 年 2 月 18 日 (木) 6 時 20 分 21 秒 (日本時間)
3025e4403Jo Yeong UkFebruary 17, 2010 21:20:27 UTC 2010 年 2 月 18 日 (木) 6 時 20 分 27 秒 (日本時間)
351e6828Jo Yeong UkJune 1, 2010 02:00:27 UTC 2010 年 6 月 1 日 (火) 11 時 0 分 27 秒 (日本時間)
403e62111Jo Yeong UkJune 30, 2010 06:57:00 UTC 2010 年 6 月 30 日 (水) 15 時 57 分 0 秒 (日本時間)

9×10185-1

c142

name 名前Jo Yeong Uk
date 日付February 17, 2010 21:19:55 UTC 2010 年 2 月 18 日 (木) 6 時 19 分 55 秒 (日本時間)
composite number 合成数
2627155446018583376056001129947388070101320462055070329967261485572839484407296033679509907414358095104997570766676583504598716504545452477747<142>
prime factors 素因数
13635914747983825156232567934596474089<38>
192664408261061364385641328101036179407234081077935012206807836686745494869074119500810375175750225723323<105>
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 2627155446018583376056001129947388070101320462055070329967261485572839484407296033679509907414358095104997570766676583504598716504545452477747 (142 digits)
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=7824051411
Step 1 took 1154ms
Step 2 took 1154ms
********** Factor found in step 2: 13635914747983825156232567934596474089
Found probable prime factor of 38 digits: 13635914747983825156232567934596474089
Probable prime cofactor 192664408261061364385641328101036179407234081077935012206807836686745494869074119500810375175750225723323 has 105 digits
execution environment 実行環境
Core 2 Quad Q6600

9×10187-1

c160

name 名前Jo Yeong Uk
date 日付July 7, 2010 06:22:09 UTC 2010 年 7 月 7 日 (水) 15 時 22 分 9 秒 (日本時間)
composite number 合成数
2270241721559984930272736143311910112693495887639753969987718778079115797333387754225729923122144151094026523595963349024633942322055857934743702122096103206951<160>
prime factors 素因数
386912236682092373627959407825258014879733519773<48>
5867588321910159709473080934766101502074837748466527042095982698923896594410077844851777703274075380367412867987<112>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 2270241721559984930272736143311910112693495887639753969987718778079115797333387754225729923122144151094026523595963349024633942322055857934743702122096103206951 (160 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=5073000498
Step 1 took 14882ms
Step 2 took 6118ms
********** Factor found in step 2: 386912236682092373627959407825258014879733519773
Found probable prime factor of 48 digits: 386912236682092373627959407825258014879733519773
Probable prime cofactor 5867588321910159709473080934766101502074837748466527042095982698923896594410077844851777703274075380367412867987 has 112 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
2011e374Jo Yeong UkFebruary 17, 2010 21:20:37 UTC 2010 年 2 月 18 日 (木) 6 時 20 分 37 秒 (日本時間)
255e4204Jo Yeong UkFebruary 17, 2010 21:20:42 UTC 2010 年 2 月 18 日 (木) 6 時 20 分 42 秒 (日本時間)
3025e4403Jo Yeong UkFebruary 17, 2010 21:20:47 UTC 2010 年 2 月 18 日 (木) 6 時 20 分 47 秒 (日本時間)
351e6828Jo Yeong UkJune 1, 2010 02:00:39 UTC 2010 年 6 月 1 日 (火) 11 時 0 分 39 秒 (日本時間)

9×10189-1

c129

name 名前Jo Yeong Uk
date 日付June 26, 2010 11:43:02 UTC 2010 年 6 月 26 日 (土) 20 時 43 分 2 秒 (日本時間)
composite number 合成数
385707683405733164444530365933755816046832242345670430607839333744882290009141947111896835408591178894659692587255754972460523547<129>
prime factors 素因数
691358354460421844467019209205871535890349373591<48>
557898347387098440001580823256703267645769945387362854355970765008372293831647517<81>
factorization results 素因数分解の結果
Number: 89999_189
N=385707683405733164444530365933755816046832242345670430607839333744882290009141947111896835408591178894659692587255754972460523547
  ( 129 digits)
Divisors found:
 r1=691358354460421844467019209205871535890349373591
 r2=557898347387098440001580823256703267645769945387362854355970765008372293831647517
Version: 
Total time: 83.91 hours.
Scaled time: 200.64 units (timescale=2.391).
Factorization parameters were as follows:
name: 89999_189
n: 385707683405733164444530365933755816046832242345670430607839333744882290009141947111896835408591178894659692587255754972460523547
skew: 56756.10
# norm 1.25e+17
c5: 249480
c4: -47907104931
c3: -4785884861656800
c2: 133442927869624597922
c1: 3900327010758526776140148
c0: -48054022836849767328649478043
# alpha -5.12
Y1: 44168649633439
Y0: -4343548553760156838701142
# Murphy_E 9.69e-11
# M 329477460672176946166473987765032007510276151047431668185955287498650302361325081192612926424245062650550920339627222414810931273
type: gnfs
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [4200000, 8900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19151117
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1382692 x 1382939
Polynomial selection time: 9.09 hours.
Total sieving time: 65.88 hours.
Total relation processing time: 4.44 hours.
Matrix solve time: 4.14 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8400000,8400000,28,28,54,54,2.6,2.6,100000
total time: 83.91 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046580k/8912896k available (2573k kernel code, 339584k reserved, 1305k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.64 BogoMIPS (lpj=2672823)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
software ソフトウェア
GGNFS / Msieve v1.39
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
351e6904Erik BrangerJanuary 28, 2009 14:39:06 UTC 2009 年 1 月 28 日 (水) 23 時 39 分 6 秒 (日本時間)
403e62104Wataru SakaiDecember 2, 2009 06:39:35 UTC 2009 年 12 月 2 日 (水) 15 時 39 分 35 秒 (日本時間)

9×10191-1

c177

name 名前Jo Yeong Uk
date 日付August 6, 2010 23:46:59 UTC 2010 年 8 月 7 日 (土) 8 時 46 分 59 秒 (日本時間)
composite number 合成数
200985056839070774211703719218863167187397355454176638538374940626274567941047076989756634924171661984503150725799055015559922208288911435130605435632537697415565069217878435147<177>
prime factors 素因数
55178925990231014652186549222321181933859304676047173<53>
3642424226862508398848580350600822774316487142753533424410444987210108318647092527767721916368395320150392755767831321109839<124>
factorization results 素因数分解の結果
Number: 89999_191
N=200985056839070774211703719218863167187397355454176638538374940626274567941047076989756634924171661984503150725799055015559922208288911435130605435632537697415565069217878435147
  ( 177 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=55178925990231014652186549222321181933859304676047173
 r2=3642424226862508398848580350600822774316487142753533424410444987210108318647092527767721916368395320150392755767831321109839
Version: 
Total time: 194.55 hours.
Scaled time: 464.58 units (timescale=2.388).
Factorization parameters were as follows:
n: 200985056839070774211703719218863167187397355454176638538374940626274567941047076989756634924171661984503150725799055015559922208288911435130605435632537697415565069217878435147
m: 100000000000000000000000000000000000000
deg: 5
c5: 90
c0: -1
skew: 0.41
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 10500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21398296
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2001591 x 2001838
Total sieving time: 178.71 hours.
Total relation processing time: 5.61 hours.
Matrix solve time: 9.66 hours.
Time per square root: 0.57 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 194.55 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046580k/8912896k available (2575k kernel code, 339584k reserved, 1303k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.58 BogoMIPS (lpj=2672793)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672383)
Calibrating delay using timer specific routine.. 5237.79 BogoMIPS (lpj=2618899)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
software ソフトウェア
GGNFS / Msieve v1.39
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
2011e374Andreas TeteMay 18, 2009 13:39:12 UTC 2009 年 5 月 18 日 (月) 22 時 39 分 12 秒 (日本時間)
255e4204Andreas TeteMay 18, 2009 13:45:24 UTC 2009 年 5 月 18 日 (月) 22 時 45 分 24 秒 (日本時間)
3025e4403Andreas TeteMay 18, 2009 15:32:40 UTC 2009 年 5 月 19 日 (火) 0 時 32 分 40 秒 (日本時間)
351e6984Andreas TeteMay 19, 2009 07:04:40 UTC 2009 年 5 月 19 日 (火) 16 時 4 分 40 秒 (日本時間)
403e62541Andreas TeteMay 22, 2009 08:38:41 UTC 2009 年 5 月 22 日 (金) 17 時 38 分 41 秒 (日本時間)
4511e6250125Andreas TeteMay 23, 2009 07:14:14 UTC 2009 年 5 月 23 日 (土) 16 時 14 分 14 秒 (日本時間)
125Andreas TeteMay 23, 2009 11:50:17 UTC 2009 年 5 月 23 日 (土) 20 時 50 分 17 秒 (日本時間)
5043e61045yoyo@homeFebruary 26, 2010 07:15:06 UTC 2010 年 2 月 26 日 (金) 16 時 15 分 6 秒 (日本時間)
5511e72645 / 17360yoyo@homeDecember 16, 2010 12:15:41 UTC 2010 年 12 月 16 日 (木) 21 時 15 分 41 秒 (日本時間)

9×10193-1

c193

name 名前Robert Backstrom
date 日付September 16, 2008 22:33:11 UTC 2008 年 9 月 17 日 (水) 7 時 33 分 11 秒 (日本時間)
composite number 合成数
2093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093<193>
prime factors 素因数
1821585162697457488304296102273254935173081<43>
577907847913674910737796883693373565504125011795363899114213268519<66>
1988227065562338941228938824773608620242017418041162968604820660552549013425070142387<85>
factorization results 素因数分解の結果
Number: n
N=2093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093
  ( 193 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Sep 17 08:14:24 2008  prp43 factor: 1821585162697457488304296102273254935173081
Wed Sep 17 08:14:24 2008  prp66 factor: 577907847913674910737796883693373565504125011795363899114213268519
Wed Sep 17 08:14:24 2008  prp85 factor: 1988227065562338941228938824773608620242017418041162968604820660552549013425070142387
Wed Sep 17 08:14:25 2008  elapsed time 09:59:33 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 161.42 hours.
Scaled time: 330.10 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_8_9_193
n: 2093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093
type: snfs
skew: 0.16
deg: 5
c5: 9000
c0: -1
m: 100000000000000000000000000000000000000
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 12100001)
Primes: RFBsize:633578, AFBsize:634548, largePrimes:15156746 encountered
Relations: rels:15251348, finalFF:1305201
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 160.82 hours.
Total relation processing time: 0.59 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,52,52,2.5,2.5,100000
total time: 161.42 hours.
 --------- CPU info (if available) ----------

9×10197-1

c172

name 名前Jo Yeong Uk
date 日付July 26, 2010 22:35:13 UTC 2010 年 7 月 27 日 (火) 7 時 35 分 13 秒 (日本時間)
composite number 合成数
3818112268196165689479781790439330543302891662224712896124961773277885163454921823655935042268853704582463791302464990137598241649983644542032759069272259846593508442000013<172>
prime factors 素因数
1489832074586813735513236513490350941226266664547<49>
composite cofactor 合成数の残り
2562780284653940815441410063187841739199489742517830703301923195319090484169381073716577127800342785537355595676331879206479<124>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 3818112268196165689479781790439330543302891662224712896124961773277885163454921823655935042268853704582463791302464990137598241649983644542032759069272259846593508442000013 (172 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4383276631
Step 1 took 54342ms
Step 2 took 20933ms
********** Factor found in step 2: 1489832074586813735513236513490350941226266664547
Found probable prime factor of 49 digits: 1489832074586813735513236513490350941226266664547
Composite cofactor 2562780284653940815441410063187841739199489742517830703301923195319090484169381073716577127800342785537355595676331879206479 has 124 digits
execution environment 実行環境
Core 2 Quad Q6700

c124

name 名前Jo Yeong Uk
date 日付July 29, 2010 14:41:57 UTC 2010 年 7 月 29 日 (木) 23 時 41 分 57 秒 (日本時間)
composite number 合成数
2562780284653940815441410063187841739199489742517830703301923195319090484169381073716577127800342785537355595676331879206479<124>
prime factors 素因数
249395759998680294566400124387703608743349127663629119243637<60>
10275957717434739278151927137269035074845167225336546287885244467<65>
factorization results 素因数分解の結果
Number: 89999_197
N=2562780284653940815441410063187841739199489742517830703301923195319090484169381073716577127800342785537355595676331879206479
  ( 124 digits)
Divisors found:
 r1=249395759998680294566400124387703608743349127663629119243637
 r2=10275957717434739278151927137269035074845167225336546287885244467
Version: 
Total time: 46.56 hours.
Scaled time: 111.00 units (timescale=2.384).
Factorization parameters were as follows:
name: 89999_197
n: 2562780284653940815441410063187841739199489742517830703301923195319090484169381073716577127800342785537355595676331879206479
skew: 95148.30
# norm 9.87e+16
c5: 95340
c4: -29669565589
c3: -3115118726271617
c2: 276121323283255635446
c1: 11713054565753040362082907
c0: -149520958180604786432501836827
# alpha -6.16
Y1: 47544048173413
Y0: -485165481614054430160370
# Murphy_E 1.75e-10
# M 165959622580232720045874726174664800676214470934385498707289166910877739764310711528608320518194230061294268409461261183855
type: gnfs
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [3400000, 6200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16220717
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1071625 x 1071873
Polynomial selection time: 4.54 hours.
Total sieving time: 36.99 hours.
Total relation processing time: 2.24 hours.
Matrix solve time: 2.52 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 46.56 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046580k/8912896k available (2575k kernel code, 339584k reserved, 1303k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.59 BogoMIPS (lpj=2672798)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672385)
Calibrating delay using timer specific routine.. 5237.79 BogoMIPS (lpj=2618899)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
software ソフトウェア
GGNFS / Msieve v1.39
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
2011e374Jo Yeong UkFebruary 20, 2010 16:04:29 UTC 2010 年 2 月 21 日 (日) 1 時 4 分 29 秒 (日本時間)
255e4204Jo Yeong UkFebruary 20, 2010 16:04:34 UTC 2010 年 2 月 21 日 (日) 1 時 4 分 34 秒 (日本時間)
3025e4403Jo Yeong UkFebruary 20, 2010 16:04:40 UTC 2010 年 2 月 21 日 (日) 1 時 4 分 40 秒 (日本時間)
351e6410Ignacio SantosMarch 27, 2010 01:01:50 UTC 2010 年 3 月 27 日 (土) 10 時 1 分 50 秒 (日本時間)
403e6950150Ignacio SantosMarch 27, 2010 01:01:50 UTC 2010 年 3 月 27 日 (土) 10 時 1 分 50 秒 (日本時間)
800Ignacio SantosApril 28, 2010 16:05:22 UTC 2010 年 4 月 29 日 (木) 1 時 5 分 22 秒 (日本時間)
4511e6230 / 4026Ignacio SantosApril 28, 2010 16:05:22 UTC 2010 年 4 月 29 日 (木) 1 時 5 分 22 秒 (日本時間)
5043e664 / 7463Ignacio SantosApril 28, 2010 16:05:22 UTC 2010 年 4 月 29 日 (木) 1 時 5 分 22 秒 (日本時間)

9×10199-1

c131

name 名前Robert Backstrom
date 日付February 5, 2008 06:05:05 UTC 2008 年 2 月 5 日 (火) 15 時 5 分 5 秒 (日本時間)
composite number 合成数
39301718485862350257708325333181729090996815780048171845715841482163767806759091111427975609647926520399156269244884232809787052921<131>
prime factors 素因数
653013029588688183402047290771742842951<39>
60185198005340312093913851920027593244762401225251579516624254991791230274129125334702673471<92>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 39301718485862350257708325333181729090996815780048171845715841482163767806759091111427975609647926520399156269244884232809787052921 (131 digits)
Using B1=1174000, B2=1055143576, polynomial Dickson(6), sigma=378789720
Step 1 took 14172ms
Step 2 took 8750ms
********** Factor found in step 2: 653013029588688183402047290771742842951
Found probable prime factor of 39 digits: 653013029588688183402047290771742842951
Probable prime cofactor 60185198005340312093913851920027593244762401225251579516624254991791230274129125334702673471 has 92 digits

9×10201-1

c177

name 名前KTakahashi
date 日付December 24, 2013 22:02:54 UTC 2013 年 12 月 25 日 (水) 7 時 2 分 54 秒 (日本時間)
composite number 合成数
314386559271698519584061601157869811128821047924431956774433715499124059666742739281031965973650393840664177630046844462551572393688094746377808784846090573075736991148271572677<177>
prime factors 素因数
21526411452773693247649336460817717544721<41>
14604689683713612675759350975639688928844629281874513442158803123780191746093165741470914570714379415687044636713755667697834509576658037<137>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 314386559271698519584061601157869811128821047924431956774433715499124059666742739281031965973650393840664177630046844462551572393688094746377808784846090573075736991148271572677 (177 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1051494959
Step 1 took 13011ms
Step 2 took 5616ms
********** Factor found in step 2: 21526411452773693247649336460817717544721
Found probable prime factor of 41 digits: 21526411452773693247649336460817717544721
Probable prime cofactor 14604689683713612675759350975639688928844629281874513442158803123780191746093165741470914570714379415687044636713755667697834509576658037 has 137 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 13:25:00 UTC 2010 年 9 月 14 日 (火) 22 時 25 分 0 秒 (日本時間)
403e6222 / 2144110Ignacio SantosSeptember 14, 2010 13:25:00 UTC 2010 年 9 月 14 日 (火) 22 時 25 分 0 秒 (日本時間)
112KTakahashiDecember 16, 2013 12:34:23 UTC 2013 年 12 月 16 日 (月) 21 時 34 分 23 秒 (日本時間)
4511e632 / 4416Ignacio SantosSeptember 14, 2010 13:25:00 UTC 2010 年 9 月 14 日 (火) 22 時 25 分 0 秒 (日本時間)

9×10203-1

c190

composite cofactor 合成数の残り
5792721746949381263246555450843623097856424498764256327126681154950325860138087923320433963121060453434022738399576909614780205538350127610792728900999389072499561154212711073600190303340321<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 13:25:24 UTC 2010 年 9 月 14 日 (火) 22 時 25 分 24 秒 (日本時間)
403e62144110Ignacio SantosSeptember 14, 2010 13:25:24 UTC 2010 年 9 月 14 日 (火) 22 時 25 分 24 秒 (日本時間)
80KTakahashiDecember 29, 2013 11:22:57 UTC 2013 年 12 月 29 日 (日) 20 時 22 分 57 秒 (日本時間)
1954KTakahashiJanuary 1, 2014 06:06:58 UTC 2014 年 1 月 1 日 (水) 15 時 6 分 58 秒 (日本時間)
4511e6491 / 399132Ignacio SantosSeptember 14, 2010 13:25:24 UTC 2010 年 9 月 14 日 (火) 22 時 25 分 24 秒 (日本時間)
59KTakahashiFebruary 8, 2014 22:45:10 UTC 2014 年 2 月 9 日 (日) 7 時 45 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:03 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 3 秒 (日本時間)
100KTakahashiSeptember 19, 2014 10:29:12 UTC 2014 年 9 月 19 日 (金) 19 時 29 分 12 秒 (日本時間)

9×10205-1

c159

name 名前Ignacio Santos
date 日付September 14, 2010 04:45:42 UTC 2010 年 9 月 14 日 (火) 13 時 45 分 42 秒 (日本時間)
composite number 合成数
271819476241130488854244811473304787120760686166422968499959671891667747982590140078636166672507855834935987267464074607706966958908419130245794145257266592933<159>
prime factors 素因数
23520974358253398538035066583893467<35>
composite cofactor 合成数の残り
11556471772851974630011226978980224021557475585506326135818944207546825550868272450496544484779973225377520117381428983779199<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=280799415
Step 1 took 20685ms
Step 2 took 11482ms
********** Factor found in step 2: 23520974358253398538035066583893467
Found probable prime factor of 35 digits: 23520974358253398538035066583893467
Composite cofactor 11556471772851974630011226978980224021557475585506326135818944207546825550868272450496544484779973225377520117381428983779199 has 125 digits
software ソフトウェア
GMP-ECM 6.3

c125

name 名前Dmitry Domanov
date 日付September 16, 2010 05:07:59 UTC 2010 年 9 月 16 日 (木) 14 時 7 分 59 秒 (日本時間)
composite number 合成数
11556471772851974630011226978980224021557475585506326135818944207546825550868272450496544484779973225377520117381428983779199<125>
prime factors 素因数
387368136607675618892389066306887433505264677<45>
29833305015885463901134120844847304459919707565722390106565865986739908090859987<80>
factorization results 素因数分解の結果
Number: 125g
N=11556471772851974630011226978980224021557475585506326135818944207546825550868272450496544484779973225377520117381428983779199
  ( 125 digits)
Divisors found:
 r1=387368136607675618892389066306887433505264677 (pp45)
 r2=29833305015885463901134120844847304459919707565722390106565865986739908090859987 (pp80)
Version: Msieve-1.40
Total time: 65.39 hours.
Scaled time: 122.40 units (timescale=1.872).
Factorization parameters were as follows:
name: 125g
n: 11556471772851974630011226978980224021557475585506326135818944207546825550868272450496544484779973225377520117381428983779199
skew: 59491.08
# norm 9.62e+016
c5: 352080
c4: -11302127720
c3: -5193052770118392
c2: 42215699102287199614
c1: 6506225482507086262389399
c0: -83794093663092177568991353280
# alpha -5.98
Y1: 8650865341393
Y0: -504936574236645634464231
# Murphy_E 1.67e-010
# M 3563458802186888640801403705848484475033833180074442747485359202490601781287451562162913252368078207820160104344945943461040
type: gnfs
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2750000, 6150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 762620 x 762846
Total sieving time: 64.43 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.71 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,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 65.39 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
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)

9×10207-1

c152

composite cofactor 合成数の残り
66346298944020392603484497612666103081441614843048626911193836751881822551731135061069119296731745472582789384820074691840937730214159201572718886363889<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 13:25:52 UTC 2010 年 9 月 14 日 (火) 22 時 25 分 52 秒 (日本時間)
403e62144110Ignacio SantosSeptember 14, 2010 13:25:52 UTC 2010 年 9 月 14 日 (火) 22 時 25 分 52 秒 (日本時間)
32Ignacio SantosDecember 13, 2010 02:10:56 UTC 2010 年 12 月 13 日 (月) 11 時 10 分 56 秒 (日本時間)
80KTakahashiDecember 15, 2013 21:58:33 UTC 2013 年 12 月 16 日 (月) 6 時 58 分 33 秒 (日本時間)
1922KTakahashiDecember 18, 2013 21:20:26 UTC 2013 年 12 月 19 日 (木) 6 時 20 分 26 秒 (日本時間)
4511e61491 / 399132Ignacio SantosSeptember 14, 2010 13:25:52 UTC 2010 年 9 月 14 日 (火) 22 時 25 分 52 秒 (日本時間)
59KTakahashiJanuary 1, 2014 07:03:02 UTC 2014 年 1 月 1 日 (水) 16 時 3 分 2 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:03 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 3 秒 (日本時間)
1100KTakahashiAugust 30, 2014 08:44:18 UTC 2014 年 8 月 30 日 (土) 17 時 44 分 18 秒 (日本時間)

9×10209-1

c173

name 名前Serge Batalov
date 日付May 27, 2014 15:51:34 UTC 2014 年 5 月 28 日 (水) 0 時 51 分 34 秒 (日本時間)
composite number 合成数
33135535049229488781040884212467119901094781857415840762237304072012875122435194733406492095949063832373172602677412408866006391964302517946107655743986314896662058905677489<173>
prime factors 素因数
99298829407375475835861241993546194794503260649<47>
335752786330490779746640797038024828325554318519<48>
993871491604682044116953573701678592826498177135926957901481761489225768438719<78>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3051180308
Step 1 took 44866ms
Step 2 took 26731ms
********** Factor found in step 2: 99298829407375475835861241993546194794503260649
Found probable prime factor of 47 digits: 99298829407375475835861241993546194794503260649

Divisors found:
 r1=335752786330490779746640797038024828325554318519 (pp48)
 r2=993871491604682044116953573701678592826498177135926957901481761489225768438719 (pp78)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 35.67 hours.
Scaled time: 85.62 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  333695122560712971184830403655609677294560061695841580143637151472292896048413639976048823668866130719025712120333262658337161
skew:  1526193.66
Y0:  -3147640562239480245570915
Y1:  12393250698457
c0:  654243281341487121421434837757888
c1:  -9643547202543551954305615132
c2:  -1188928028829003496396
c3:  2026949223126397
c4:  276127698
c5:  1080
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2500000, 5400001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 970949 x 971197
Total sieving time: 34.82 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,53,53,2.5,2.5,100000
total time: 35.67 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 13:26:20 UTC 2010 年 9 月 14 日 (火) 22 時 26 分 20 秒 (日本時間)
403e62144110Ignacio SantosSeptember 14, 2010 13:26:20 UTC 2010 年 9 月 14 日 (火) 22 時 26 分 20 秒 (日本時間)
112KTakahashiDecember 16, 2013 11:49:38 UTC 2013 年 12 月 16 日 (月) 20 時 49 分 38 秒 (日本時間)
1922KTakahashiDecember 23, 2013 11:06:04 UTC 2013 年 12 月 23 日 (月) 20 時 6 分 4 秒 (日本時間)
4511e6391 / 399132Ignacio SantosSeptember 14, 2010 13:26:20 UTC 2010 年 9 月 14 日 (火) 22 時 26 分 20 秒 (日本時間)
59KTakahashiJanuary 1, 2014 08:26:48 UTC 2014 年 1 月 1 日 (水) 17 時 26 分 48 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:04 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 4 秒 (日本時間)

9×10211-1

c194

composite cofactor 合成数の残り
97607607128221426357377013488961714417672649880576719570712379297973765260634609757666743202155071041935920974507857219886770282749305052414640900808516085867306486791876528928802932236198738551<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 13:26:48 UTC 2010 年 9 月 14 日 (火) 22 時 26 分 48 秒 (日本時間)
403e62144110Ignacio SantosSeptember 14, 2010 13:26:48 UTC 2010 年 9 月 14 日 (火) 22 時 26 分 48 秒 (日本時間)
2034KTakahashiJanuary 1, 2014 23:51:25 UTC 2014 年 1 月 2 日 (木) 8 時 51 分 25 秒 (日本時間)
4511e6491 / 399132Ignacio SantosSeptember 14, 2010 13:26:48 UTC 2010 年 9 月 14 日 (火) 22 時 26 分 48 秒 (日本時間)
59KTakahashiFebruary 8, 2014 22:45:31 UTC 2014 年 2 月 9 日 (日) 7 時 45 分 31 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:04 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 4 秒 (日本時間)
100KTakahashiSeptember 20, 2014 01:14:31 UTC 2014 年 9 月 20 日 (土) 10 時 14 分 31 秒 (日本時間)

9×10213-1

c138

name 名前Serge Batalov
date 日付November 23, 2008 07:01:24 UTC 2008 年 11 月 23 日 (日) 16 時 1 分 24 秒 (日本時間)
composite number 合成数
964535260551865362065602696869974814755026535743537339285727364007701450573255962086251922858742452494902832369638542383812031576022814387<138>
prime factors 素因数
179481389251375241524195452694409<33>
composite cofactor 合成数の残り
5374012673820858541660812441083032124477051306670520962378248708789456585274457770479061617280814335697243<106>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3144849970
Step 1 took 21095ms
Step 2 took 13861ms
********** Factor found in step 2: 179481389251375241524195452694409
Found probable prime factor of 33 digits: 179481389251375241524195452694409
Composite cofactor 5374012673820858541660812441083032124477051306670520962378248708789456585274457770479061617280814335697243 has 106 digits
software ソフトウェア
GMP-ECM 6.2.1

c106

name 名前Sinkiti Sibata
date 日付November 25, 2008 13:37:00 UTC 2008 年 11 月 25 日 (火) 22 時 37 分 0 秒 (日本時間)
composite number 合成数
5374012673820858541660812441083032124477051306670520962378248708789456585274457770479061617280814335697243<106>
prime factors 素因数
240517498236320119968635920027<30>
22343541377353884509643293353805591669647127166940550303134256458298751571009<77>
factorization results 素因数分解の結果
Mon Nov 24 00:11:51 2008  Msieve v. 1.38
Mon Nov 24 00:11:51 2008  random seeds: a24e6aa0 3eb03746
Mon Nov 24 00:11:51 2008  factoring 5374012673820858541660812441083032124477051306670520962378248708789456585274457770479061617280814335697243 (106 digits)
Mon Nov 24 00:11:52 2008  searching for 15-digit factors
Mon Nov 24 00:11:54 2008  commencing quadratic sieve (106-digit input)
Mon Nov 24 00:11:54 2008  using multiplier of 3
Mon Nov 24 00:11:54 2008  using 32kb Intel Core sieve core
Mon Nov 24 00:11:54 2008  sieve interval: 41 blocks of size 32768
Mon Nov 24 00:11:54 2008  processing polynomials in batches of 5
Mon Nov 24 00:11:54 2008  using a sieve bound of 4519019 (158667 primes)
Mon Nov 24 00:11:54 2008  using large prime bound of 677852850 (29 bits)
Mon Nov 24 00:11:54 2008  using double large prime bound of 7871251019049750 (45-53 bits)
Mon Nov 24 00:11:54 2008  using trial factoring cutoff of 53 bits
Mon Nov 24 00:11:54 2008  polynomial 'A' values have 14 factors
Tue Nov 25 22:27:00 2008  158913 relations (37698 full + 121215 combined from 2331858 partial), need 158763
Tue Nov 25 22:27:03 2008  begin with 2369556 relations
Tue Nov 25 22:27:06 2008  reduce to 417220 relations in 11 passes
Tue Nov 25 22:27:06 2008  attempting to read 417220 relations
Tue Nov 25 22:27:16 2008  recovered 417220 relations
Tue Nov 25 22:27:16 2008  recovered 409284 polynomials
Tue Nov 25 22:27:16 2008  attempting to build 158913 cycles
Tue Nov 25 22:27:16 2008  found 158913 cycles in 6 passes
Tue Nov 25 22:27:16 2008  distribution of cycle lengths:
Tue Nov 25 22:27:16 2008     length 1 : 37698
Tue Nov 25 22:27:16 2008     length 2 : 27255
Tue Nov 25 22:27:16 2008     length 3 : 26726
Tue Nov 25 22:27:16 2008     length 4 : 21725
Tue Nov 25 22:27:16 2008     length 5 : 16730
Tue Nov 25 22:27:16 2008     length 6 : 11228
Tue Nov 25 22:27:16 2008     length 7 : 7302
Tue Nov 25 22:27:16 2008     length 9+: 10249
Tue Nov 25 22:27:16 2008  largest cycle: 20 relations
Tue Nov 25 22:27:17 2008  matrix is 158667 x 158913 (42.9 MB) with weight 10612023 (66.78/col)
Tue Nov 25 22:27:17 2008  sparse part has weight 10612023 (66.78/col)
Tue Nov 25 22:27:20 2008  filtering completed in 3 passes
Tue Nov 25 22:27:20 2008  matrix is 152562 x 152626 (41.4 MB) with weight 10241543 (67.10/col)
Tue Nov 25 22:27:20 2008  sparse part has weight 10241543 (67.10/col)
Tue Nov 25 22:27:21 2008  saving the first 48 matrix rows for later
Tue Nov 25 22:27:21 2008  matrix is 152514 x 152626 (22.7 MB) with weight 7745078 (50.75/col)
Tue Nov 25 22:27:21 2008  sparse part has weight 5042413 (33.04/col)
Tue Nov 25 22:27:21 2008  matrix includes 64 packed rows
Tue Nov 25 22:27:21 2008  using block size 43690 for processor cache size 1024 kB
Tue Nov 25 22:27:22 2008  commencing Lanczos iteration
Tue Nov 25 22:27:22 2008  memory use: 24.2 MB
Tue Nov 25 22:30:07 2008  lanczos halted after 2415 iterations (dim = 152514)
Tue Nov 25 22:30:08 2008  recovered 18 nontrivial dependencies
Tue Nov 25 22:30:09 2008  prp30 factor: 240517498236320119968635920027
Tue Nov 25 22:30:09 2008  prp77 factor: 22343541377353884509643293353805591669647127166940550303134256458298751571009
Tue Nov 25 22:30:09 2008  elapsed time 46:18:18

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)

9×10215-1

c195

composite cofactor 合成数の残り
182932443168146329536107439965379476609018081738136475800750573255026519004566909056500589766164538310841930793505582466992062465914156687385003217573278263261011693459436670795419625561766346963<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 13:27:27 UTC 2010 年 9 月 14 日 (火) 22 時 27 分 27 秒 (日本時間)
403e62144110Ignacio SantosSeptember 14, 2010 13:27:27 UTC 2010 年 9 月 14 日 (火) 22 時 27 分 27 秒 (日本時間)
2034KTakahashiJanuary 2, 2014 07:33:02 UTC 2014 年 1 月 2 日 (木) 16 時 33 分 2 秒 (日本時間)
4511e6491 / 399132Ignacio SantosSeptember 14, 2010 13:27:27 UTC 2010 年 9 月 14 日 (火) 22 時 27 分 27 秒 (日本時間)
59KTakahashiFebruary 8, 2014 22:45:56 UTC 2014 年 2 月 9 日 (日) 7 時 45 分 56 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:04 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 4 秒 (日本時間)
100KTakahashiSeptember 20, 2014 01:15:23 UTC 2014 年 9 月 20 日 (土) 10 時 15 分 23 秒 (日本時間)

9×10217-1

c211

name 名前Dmitry Domanov
date 日付December 17, 2009 20:25:37 UTC 2009 年 12 月 18 日 (金) 5 時 25 分 37 秒 (日本時間)
composite number 合成数
2226693698068400121320169087202298165617568177835436499136747964820515746299525781043122372826162443589498526559668426505166387088778846785932174761510589994411246228259212184388744498798587415207194714541702769<211>
prime factors 素因数
1577290686429983687836459293964961<34>
composite cofactor 合成数の残り
1411720564399112483471084781044967565528016798392234290981345680970916119805289999619210137081639694786400613276406019352676005253348050274461896592584529492199240348443770814929<178>
factorization results 素因数分解の結果
Factor=1577290686429983687836459293964961  Method=ECM  B1=11000000  Sigma=421968920
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
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e60--
403e61922KTakahashiDecember 25, 2013 21:56:38 UTC 2013 年 12 月 26 日 (木) 6 時 56 分 38 秒 (日本時間)
4511e6554 / 4054120Dmitry DomanovDecember 18, 2009 18:13:38 UTC 2009 年 12 月 19 日 (土) 3 時 13 分 38 秒 (日本時間)
34KTakahashiJanuary 2, 2014 08:24:38 UTC 2014 年 1 月 2 日 (木) 17 時 24 分 38 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:05 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 5 秒 (日本時間)
100KTakahashiSeptember 19, 2014 05:56:13 UTC 2014 年 9 月 19 日 (金) 14 時 56 分 13 秒 (日本時間)

9×10219-1

c209

composite cofactor 合成数の残り
20123414623063055102118571087903749096571159337618260154664291160939792032690128124998976228268348411190796072598184524509069267467017885465416230112288285628875789971268498264586927034423866579944092570018561<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 13:27:56 UTC 2010 年 9 月 14 日 (火) 22 時 27 分 56 秒 (日本時間)
403e62144110Ignacio SantosSeptember 14, 2010 13:27:56 UTC 2010 年 9 月 14 日 (火) 22 時 27 分 56 秒 (日本時間)
534KTakahashiJanuary 8, 2014 21:59:47 UTC 2014 年 1 月 9 日 (木) 6 時 59 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:30 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 30 秒 (日本時間)
1200KTakahashiJanuary 12, 2014 14:57:59 UTC 2014 年 1 月 12 日 (日) 23 時 57 分 59 秒 (日本時間)
4511e6491 / 399132Ignacio SantosSeptember 14, 2010 13:27:56 UTC 2010 年 9 月 14 日 (火) 22 時 27 分 56 秒 (日本時間)
59KTakahashiFebruary 8, 2014 22:57:33 UTC 2014 年 2 月 9 日 (日) 7 時 57 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:05 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 5 秒 (日本時間)
100KTakahashiSeptember 20, 2014 01:17:13 UTC 2014 年 9 月 20 日 (土) 10 時 17 分 13 秒 (日本時間)

9×10221-1

c198

composite cofactor 合成数の残り
172335614263112567179081867466993970765225540021715938315260756668337285450737775572869450031393778581870591318194452990592879792164909246568202384476242199160419692269526807699774717892321366997121<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 13:28:26 UTC 2010 年 9 月 14 日 (火) 22 時 28 分 26 秒 (日本時間)
403e62144110Ignacio SantosSeptember 14, 2010 13:28:26 UTC 2010 年 9 月 14 日 (火) 22 時 28 分 26 秒 (日本時間)
2034KTakahashiJanuary 3, 2014 05:02:35 UTC 2014 年 1 月 3 日 (金) 14 時 2 分 35 秒 (日本時間)
4511e6491 / 399132Ignacio SantosSeptember 14, 2010 13:28:26 UTC 2010 年 9 月 14 日 (火) 22 時 28 分 26 秒 (日本時間)
59KTakahashiFebruary 8, 2014 22:46:14 UTC 2014 年 2 月 9 日 (日) 7 時 46 分 14 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:06 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 6 秒 (日本時間)
100KTakahashiSeptember 20, 2014 01:16:29 UTC 2014 年 9 月 20 日 (土) 10 時 16 分 29 秒 (日本時間)

9×10225-1

c155

name 名前NFS@Home + Dmitry Domanov
date 日付May 14, 2016 10:16:31 UTC 2016 年 5 月 14 日 (土) 19 時 16 分 31 秒 (日本時間)
composite number 合成数
27441694944874738547985333891331430219518293144909937468780274729274695337974413869161834959704177482590200454318554050429898051581550176667766086127396391<155>
prime factors 素因数
11463956154931965286797745710924129499153087417812847999013<59>
2393736906702047287437000757732253469057651184336837941798408040580556794719317538005566849654107<97>
factorization results 素因数分解の結果
prp59 factor: 11463956154931965286797745710924129499153087417812847999013
prp97 factor: 2393736906702047287437000757732253469057651184336837941798408040580556794719317538005566849654107
software ソフトウェア
ggfns-lasieve4I14e on the NFS@Home grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e60--
403e6590Serge BatalovNovember 19, 2008 19:39:54 UTC 2008 年 11 月 20 日 (木) 4 時 39 分 54 秒 (日本時間)
4511e625801200Serge BatalovJanuary 5, 2009 04:26:55 UTC 2009 年 1 月 5 日 (月) 13 時 26 分 55 秒 (日本時間)
1000Dmitry DomanovJune 19, 2009 18:39:46 UTC 2009 年 6 月 20 日 (土) 3 時 39 分 46 秒 (日本時間)
380Dmitry DomanovJune 22, 2009 07:44:44 UTC 2009 年 6 月 22 日 (月) 16 時 44 分 44 秒 (日本時間)
5043e61010yoyo@homeFebruary 26, 2010 08:15:12 UTC 2010 年 2 月 26 日 (金) 17 時 15 分 12 秒 (日本時間)
5511e72475 / 17243yoyo@homeDecember 16, 2010 15:55:12 UTC 2010 年 12 月 17 日 (金) 0 時 55 分 12 秒 (日本時間)

9×10229-1

c153

name 名前matsui
date 日付November 11, 2009 00:36:00 UTC 2009 年 11 月 11 日 (水) 9 時 36 分 0 秒 (日本時間)
composite number 合成数
240310297661166400485936362786332361583251738596432632828490772305058814102347092398830258825622814264893962996338765698926236641973725988355663176866797<153>
prime factors 素因数
67387210716432592896081650429078156564311<41>
6243050577365052581815882169888181821426803805681795893<55>
571212953652346708852367194795436478812329554530967996239<57>
factorization results 素因数分解の結果
N=240310297661166400485936362786332361583251738596432632828490772305058814102347092398830258825622814264893962996338765698926236641973725988355663176866797
  ( 153 digits)
Divisors found:
 r1=67387210716432592896081650429078156564311 (pp41)
 r2=6243050577365052581815882169888181821426803805681795893 (pp55)
 r3=571212953652346708852367194795436478812329554530967996239 (pp57)
Version: Msieve v. 1.43
Total time: 251.99 hours.
Scaled time: 435.68 units (timescale=1.729).
Factorization parameters were as follows:
name: 89999_229
n: 240310297661166400485936362786332361583251738596432632828490772305058814102347092398830258825622814264893962996338765698926236641973725988355663176866797
skew: 767614.43
# norm 1.10e+21
c5: 5687280
c4: -1576344828224
c3: -15992040188510426116
c2: 551458288805369004819659
c1: 3133393285152216531272566657368
c0: 15877934132636447372734593052780585
# alpha -6.25
Y1: 421186069282110373
Y0: -133405467847610273238880604564
# Murphy_E 3.57e-12
# M 94019805174926964203307818923509292211349668657206486672204198932322380976076648921267349291638710915588954585022947785470799284727337408767453363616776
type: gnfs
rlim: 24400000
alim: 24400000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 1600000
Factor base limits: 24400000/24400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved algebraic special-q in [12200000, 45800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4602695 x 4602923
Total sieving time: 218.64 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 28.28 hours.
Time per square root: 4.71 hours.
Prototype def-par.txt line would be:
gnfs,152,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,24400000,24400000,29,29,58,58,2.6,2.6,100000
total time: 251.99 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6825Serge BatalovNovember 2, 2008 05:04:05 UTC 2008 年 11 月 2 日 (日) 14 時 4 分 5 秒 (日本時間)
403e6400Markus TervoorenDecember 30, 2008 19:22:47 UTC 2008 年 12 月 31 日 (水) 4 時 22 分 47 秒 (日本時間)
4511e61000 / 4352Serge BatalovJanuary 5, 2009 04:25:37 UTC 2009 年 1 月 5 日 (月) 13 時 25 分 37 秒 (日本時間)

9×10231-1

c182

composite cofactor 合成数の残り
73495000374915762859216129340875350621606641556304628851630109938131596023912677555409049768864357258781866352609555924461782303651497588176040351979174743012122623433649443058580049<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 13:29:00 UTC 2010 年 9 月 14 日 (火) 22 時 29 分 0 秒 (日本時間)
403e62144110Ignacio SantosSeptember 14, 2010 13:29:00 UTC 2010 年 9 月 14 日 (火) 22 時 29 分 0 秒 (日本時間)
2034KTakahashiDecember 28, 2013 05:05:45 UTC 2013 年 12 月 28 日 (土) 14 時 5 分 45 秒 (日本時間)
4511e6491 / 399132Ignacio SantosSeptember 14, 2010 13:29:00 UTC 2010 年 9 月 14 日 (火) 22 時 29 分 0 秒 (日本時間)
59KTakahashiFebruary 8, 2014 13:01:40 UTC 2014 年 2 月 8 日 (土) 22 時 1 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:06 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 6 秒 (日本時間)
100KTakahashiSeptember 19, 2014 05:56:45 UTC 2014 年 9 月 19 日 (金) 14 時 56 分 45 秒 (日本時間)

9×10235-1

c220

name 名前Ignacio Santos
date 日付September 14, 2010 13:24:08 UTC 2010 年 9 月 14 日 (火) 22 時 24 分 8 秒 (日本時間)
composite number 合成数
1591225639153431768007566049477746705340043319419634665441039537722729376906742965530026725645981701242485147321836891990824496168048939599558565575212435906471000156733361990942820845793699204418087878684415916429628759<220>
prime factors 素因数
58191560460894047981383313738887921<35>
composite cofactor 合成数の残り
27344611942873895787917311852899786249261776955362309600956203248188072656297980109517084855872487166215533244863997401609896656699572113589466043017774649115656658703302995084579323079<185>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=623682320
Step 1 took 123912ms
Step 2 took 52806ms
********** Factor found in step 2: 58191560460894047981383313738887921
Found probable prime factor of 35 digits: 58191560460894047981383313738887921
Composite cofactor 27344611942873895787917311852899786249261776955362309600956203248188072656297980109517084855872487166215533244863997401609896656699572113589466043017774649115656658703302995084579323079 has 185 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 19:08:56 UTC 2010 年 9 月 15 日 (水) 4 時 8 分 56 秒 (日本時間)
403e62144110Ignacio SantosSeptember 14, 2010 19:08:56 UTC 2010 年 9 月 15 日 (水) 4 時 8 分 56 秒 (日本時間)
80KTakahashiDecember 29, 2013 10:45:22 UTC 2013 年 12 月 29 日 (日) 19 時 45 分 22 秒 (日本時間)
1954KTakahashiDecember 30, 2013 15:28:19 UTC 2013 年 12 月 31 日 (火) 0 時 28 分 19 秒 (日本時間)
4511e6491 / 399132Ignacio SantosSeptember 14, 2010 19:08:56 UTC 2010 年 9 月 15 日 (水) 4 時 8 分 56 秒 (日本時間)
59KTakahashiFebruary 8, 2014 14:21:27 UTC 2014 年 2 月 8 日 (土) 23 時 21 分 27 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:06 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 6 秒 (日本時間)
100KTakahashiSeptember 19, 2014 07:57:18 UTC 2014 年 9 月 19 日 (金) 16 時 57 分 18 秒 (日本時間)

9×10237-1

c201

name 名前KTakahashi
date 日付January 8, 2014 14:34:18 UTC 2014 年 1 月 8 日 (水) 23 時 34 分 18 秒 (日本時間)
composite number 合成数
268259492009414780158612424935774837377983696944818400310056859744318788116949812279242159327330296092443080358232178746828802771544827213961454818642680738119122592804385242229650438777035387599027373<201>
prime factors 素因数
2159354328505218434763566894890844831<37>
124231344744201153919364569063533864182777383411266889775463564074435226169459698293233029236580598968351185296036589989745373926734676124646349848201139449407154483<165>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 268259492009414780158612424935774837377983696944818400310056859744318788116949812279242159327330296092443080358232178746828802771544827213961454818642680738119122592804385242229650438777035387599027373 (201 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2019345652
Step 1 took 17581ms
Step 2 took 7192ms
********** Factor found in step 2: 2159354328505218434763566894890844831
Found probable prime factor of 37 digits: 2159354328505218434763566894890844831
Probable prime cofactor 124231344744201153919364569063533864182777383411266889775463564074435226169459698293233029236580598968351185296036589989745373926734676124646349848201139449407154483 has 165 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 13:29:54 UTC 2010 年 9 月 14 日 (火) 22 時 29 分 54 秒 (日本時間)
403e6110 / 2144Ignacio SantosSeptember 14, 2010 13:29:54 UTC 2010 年 9 月 14 日 (火) 22 時 29 分 54 秒 (日本時間)
4511e632 / 4441Ignacio SantosSeptember 14, 2010 13:29:54 UTC 2010 年 9 月 14 日 (火) 22 時 29 分 54 秒 (日本時間)

9×10241-1

c218

composite cofactor 合成数の残り
25235445794948821739748678732191479860646613915310649971905671891079318635081668702935911295793325871652144818294111071512155813738294274363970467769114647418288047846110437398740880356716473955611500403122023243195351<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 14:43:55 UTC 2010 年 9 月 14 日 (火) 23 時 43 分 55 秒 (日本時間)
403e61781110Ignacio SantosSeptember 14, 2010 14:43:55 UTC 2010 年 9 月 14 日 (火) 23 時 43 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:31 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 31 秒 (日本時間)
1371KTakahashiFebruary 8, 2014 11:12:09 UTC 2014 年 2 月 8 日 (土) 20 時 12 分 9 秒 (日本時間)
4511e6438 / 393832Ignacio SantosSeptember 14, 2010 14:43:55 UTC 2010 年 9 月 14 日 (火) 23 時 43 分 55 秒 (日本時間)
6KTakahashiFebruary 8, 2014 11:59:48 UTC 2014 年 2 月 8 日 (土) 20 時 59 分 48 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:07 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 7 秒 (日本時間)
100KTakahashiSeptember 20, 2014 08:52:42 UTC 2014 年 9 月 20 日 (土) 17 時 52 分 42 秒 (日本時間)
5043e638 / 7386CypJanuary 23, 2014 01:12:06 UTC 2014 年 1 月 23 日 (木) 10 時 12 分 6 秒 (日本時間)

9×10243-1

c237

name 名前RSALS + Tom Womack
date 日付May 28, 2010 17:56:28 UTC 2010 年 5 月 29 日 (土) 2 時 56 分 28 秒 (日本時間)
composite number 合成数
411438333096908676370424514300476431875115117016947739240076141692230320801668391583782033502874879637144305275174300135395212348123825200698476000413449809392049118788235478592612094430949013144586150409694291718281224592254325942636079<237>
prime factors 素因数
66131837310307559141778487480493107856542594017224928411277770245846665669403<77>
6221486500765650681748200556437692560926457434114322812952883282505160895367768897268883784861247071526097233574950034555916608119515375191331045259329450567293<160>
factorization results 素因数分解の結果
<sieving by the RSALS grid>

<entire post-processing by Tom Womack>
Sun May  9 10:11:20 2010  
Sun May  9 10:11:20 2010  
Sun May  9 10:11:20 2010  Msieve v. 1.46
Sun May  9 10:11:20 2010  random seeds: e22bd942 c38bbecf
Sun May  9 10:11:20 2010  factoring 411438333096908676370424514300476431875115117016947739240076141692230320801668391583782033502874879637144305275174300135395212348123825200698476000413449809392049118788235478592612094430949013144586150409694291718281224592254325942636079 (237 digits)
Sun May  9 10:11:23 2010  no P-1/P+1/ECM available, skipping
Sun May  9 10:11:23 2010  commencing number field sieve (237-digit input)
Sun May  9 10:11:23 2010  R0: -10000000000000000000000000000000000000000
Sun May  9 10:11:23 2010  R1:  1
Sun May  9 10:11:23 2010  A0: -1
Sun May  9 10:11:23 2010  A1:  0
Sun May  9 10:11:23 2010  A2:  0
Sun May  9 10:11:23 2010  A3:  0
Sun May  9 10:11:23 2010  A4:  0
Sun May  9 10:11:23 2010  A5:  0
Sun May  9 10:11:23 2010  A6:  9000
Sun May  9 10:11:23 2010  skew 0.22, size 3.111601e-12, alpha 1.071555, combined = 2.771837e-13
Sun May  9 10:11:23 2010  
Sun May  9 10:11:23 2010  commencing relation filtering
Sun May  9 10:11:23 2010  estimated available RAM is 32306.3 MB
Sun May  9 10:11:23 2010  commencing duplicate removal, pass 1
<snip errors reading relations>
Sun May  9 10:44:30 2010  skipped 1398 relations with b > 2^32
Sun May  9 10:44:30 2010  found 49544508 hash collisions in 226872088 relations
Sun May  9 10:45:22 2010  added 1218273 free relations
Sun May  9 10:45:23 2010  commencing duplicate removal, pass 2
Sun May  9 10:55:19 2010  found 51348017 duplicates and 176742344 unique relations
Sun May  9 10:55:19 2010  memory use: 1321.5 MB
Sun May  9 10:55:21 2010  reading ideals above 159842304
Sun May  9 10:55:21 2010  commencing singleton removal, initial pass
Sun May  9 11:24:25 2010  memory use: 3012.0 MB
Sun May  9 11:24:26 2010  reading all ideals from disk
Sun May  9 11:25:09 2010  memory use: 3113.5 MB
Sun May  9 11:25:36 2010  commencing in-memory singleton removal
Sun May  9 11:25:59 2010  begin with 176742344 relations and 152411156 unique ideals
Sun May  9 11:30:50 2010  reduce to 102939710 relations and 69772195 ideals in 15 passes
Sun May  9 11:30:52 2010  max relations containing the same ideal: 31
Sun May  9 11:31:38 2010  reading ideals above 720000
Sun May  9 11:31:39 2010  commencing singleton removal, initial pass
Sun May  9 11:57:01 2010  memory use: 2756.0 MB
Sun May  9 11:57:03 2010  reading all ideals from disk
Sun May  9 11:57:54 2010  memory use: 4065.0 MB
Sun May  9 11:58:31 2010  keeping 87142303 ideals with weight <= 200, target excess is 551729
Sun May  9 11:59:11 2010  commencing in-memory singleton removal
Sun May  9 11:59:41 2010  begin with 102939711 relations and 87142303 unique ideals
Sun May  9 12:05:47 2010  reduce to 102877335 relations and 87079921 ideals in 10 passes
Sun May  9 12:05:47 2010  max relations containing the same ideal: 200
Sun May  9 12:08:24 2010  removing 3739489 relations and 3339489 ideals in 400000 cliques
Sun May  9 12:08:28 2010  commencing in-memory singleton removal
Sun May  9 12:09:02 2010  begin with 99137846 relations and 87079921 unique ideals
Sun May  9 12:13:02 2010  reduce to 99065277 relations and 83667507 ideals in 7 passes
Sun May  9 12:13:02 2010  max relations containing the same ideal: 200
Sun May  9 12:15:31 2010  removing 2766426 relations and 2366426 ideals in 400000 cliques
Sun May  9 12:15:35 2010  commencing in-memory singleton removal
Sun May  9 12:16:08 2010  begin with 96298851 relations and 83667507 unique ideals
Sun May  9 12:19:59 2010  reduce to 96255861 relations and 81257897 ideals in 7 passes
Sun May  9 12:19:59 2010  max relations containing the same ideal: 198
Sun May  9 12:22:23 2010  removing 2447104 relations and 2047104 ideals in 400000 cliques
Sun May  9 12:22:27 2010  commencing in-memory singleton removal
Sun May  9 12:22:59 2010  begin with 93808757 relations and 81257897 unique ideals
Sun May  9 12:26:41 2010  reduce to 93773096 relations and 79174974 ideals in 7 passes
Sun May  9 12:26:41 2010  max relations containing the same ideal: 195
Sun May  9 12:29:01 2010  removing 2259040 relations and 1859040 ideals in 400000 cliques
Sun May  9 12:29:05 2010  commencing in-memory singleton removal
Sun May  9 12:29:36 2010  begin with 91514056 relations and 79174974 unique ideals
Sun May  9 12:33:12 2010  reduce to 91482755 relations and 77284501 ideals in 7 passes
Sun May  9 12:33:12 2010  max relations containing the same ideal: 194
Sun May  9 12:35:28 2010  removing 2129308 relations and 1729308 ideals in 400000 cliques
Sun May  9 12:35:31 2010  commencing in-memory singleton removal
Sun May  9 12:36:02 2010  begin with 89353447 relations and 77284501 unique ideals
Sun May  9 12:39:02 2010  reduce to 89325051 relations and 75526692 ideals in 6 passes
Sun May  9 12:39:02 2010  max relations containing the same ideal: 192
Sun May  9 12:41:15 2010  removing 2035060 relations and 1635060 ideals in 400000 cliques
Sun May  9 12:41:18 2010  commencing in-memory singleton removal
Sun May  9 12:41:48 2010  begin with 87289991 relations and 75526692 unique ideals
Sun May  9 12:44:15 2010  reduce to 87262583 relations and 73864116 ideals in 5 passes
Sun May  9 12:44:15 2010  max relations containing the same ideal: 187
Sun May  9 12:46:25 2010  removing 1952889 relations and 1552889 ideals in 400000 cliques
Sun May  9 12:46:28 2010  commencing in-memory singleton removal
Sun May  9 12:46:57 2010  begin with 85309694 relations and 73864116 unique ideals
Sun May  9 12:49:22 2010  reduce to 85284688 relations and 72286117 ideals in 5 passes
Sun May  9 12:49:22 2010  max relations containing the same ideal: 186
Sun May  9 12:51:28 2010  removing 1886767 relations and 1486767 ideals in 400000 cliques
Sun May  9 12:51:31 2010  commencing in-memory singleton removal
Sun May  9 12:51:59 2010  begin with 83397921 relations and 72286117 unique ideals
Sun May  9 12:54:47 2010  reduce to 83373337 relations and 70774675 ideals in 6 passes
Sun May  9 12:54:47 2010  max relations containing the same ideal: 183
Sun May  9 12:56:51 2010  removing 1829157 relations and 1429157 ideals in 400000 cliques
Sun May  9 12:56:54 2010  commencing in-memory singleton removal
Sun May  9 12:57:21 2010  begin with 81544180 relations and 70774675 unique ideals
Sun May  9 13:00:04 2010  reduce to 81518346 relations and 69319588 ideals in 6 passes
Sun May  9 13:00:04 2010  max relations containing the same ideal: 180
Sun May  9 13:02:04 2010  removing 1791668 relations and 1391668 ideals in 400000 cliques
Sun May  9 13:02:07 2010  commencing in-memory singleton removal
Sun May  9 13:02:34 2010  begin with 79726678 relations and 69319588 unique ideals
Sun May  9 13:05:13 2010  reduce to 79704770 relations and 67905930 ideals in 6 passes
Sun May  9 13:05:13 2010  max relations containing the same ideal: 178
Sun May  9 13:07:10 2010  removing 1736716 relations and 1336716 ideals in 400000 cliques
Sun May  9 13:07:13 2010  commencing in-memory singleton removal
Sun May  9 13:07:39 2010  begin with 77968054 relations and 67905930 unique ideals
Sun May  9 13:09:49 2010  reduce to 77944425 relations and 66545474 ideals in 5 passes
Sun May  9 13:09:49 2010  max relations containing the same ideal: 173
Sun May  9 13:11:43 2010  removing 1716436 relations and 1316436 ideals in 400000 cliques
Sun May  9 13:11:46 2010  commencing in-memory singleton removal
Sun May  9 13:12:11 2010  begin with 76227989 relations and 66545474 unique ideals
Sun May  9 13:14:42 2010  reduce to 76205469 relations and 65206426 ideals in 6 passes
Sun May  9 13:14:42 2010  max relations containing the same ideal: 173
Sun May  9 13:16:34 2010  removing 1682606 relations and 1282606 ideals in 400000 cliques
Sun May  9 13:16:37 2010  commencing in-memory singleton removal
Sun May  9 13:17:02 2010  begin with 74522863 relations and 65206426 unique ideals
Sun May  9 13:19:26 2010  reduce to 74500168 relations and 63901007 ideals in 6 passes
Sun May  9 13:19:26 2010  max relations containing the same ideal: 170
Sun May  9 13:21:05 2010  removing 1650804 relations and 1250804 ideals in 400000 cliques
Sun May  9 13:21:07 2010  commencing in-memory singleton removal
Sun May  9 13:21:28 2010  begin with 72849364 relations and 63901007 unique ideals
Sun May  9 13:23:14 2010  reduce to 72827615 relations and 62628355 ideals in 5 passes
Sun May  9 13:23:14 2010  max relations containing the same ideal: 167
Sun May  9 13:24:48 2010  removing 1625928 relations and 1225928 ideals in 400000 cliques
Sun May  9 13:24:50 2010  commencing in-memory singleton removal
Sun May  9 13:25:10 2010  begin with 71201687 relations and 62628355 unique ideals
Sun May  9 13:27:12 2010  reduce to 71181044 relations and 61381694 ideals in 6 passes
Sun May  9 13:27:12 2010  max relations containing the same ideal: 165
Sun May  9 13:28:41 2010  removing 1597382 relations and 1197382 ideals in 400000 cliques
Sun May  9 13:28:43 2010  commencing in-memory singleton removal
Sun May  9 13:29:03 2010  begin with 69583662 relations and 61381694 unique ideals
Sun May  9 13:31:02 2010  reduce to 69562492 relations and 60163034 ideals in 6 passes
Sun May  9 13:31:02 2010  max relations containing the same ideal: 163
Sun May  9 13:32:29 2010  removing 1577770 relations and 1177770 ideals in 400000 cliques
Sun May  9 13:32:31 2010  commencing in-memory singleton removal
Sun May  9 13:32:51 2010  begin with 67984722 relations and 60163034 unique ideals
Sun May  9 13:34:28 2010  reduce to 67962820 relations and 58963267 ideals in 5 passes
Sun May  9 13:34:28 2010  max relations containing the same ideal: 161
Sun May  9 13:35:53 2010  removing 1567171 relations and 1167171 ideals in 400000 cliques
Sun May  9 13:35:55 2010  commencing in-memory singleton removal
Sun May  9 13:36:14 2010  begin with 66395649 relations and 58963267 unique ideals
Sun May  9 13:38:09 2010  reduce to 66373789 relations and 57774109 ideals in 6 passes
Sun May  9 13:38:09 2010  max relations containing the same ideal: 157
Sun May  9 13:39:33 2010  removing 1540255 relations and 1140255 ideals in 400000 cliques
Sun May  9 13:39:35 2010  commencing in-memory singleton removal
Sun May  9 13:39:53 2010  begin with 64833534 relations and 57774109 unique ideals
Sun May  9 13:41:26 2010  reduce to 64811389 relations and 56611582 ideals in 5 passes
Sun May  9 13:41:26 2010  max relations containing the same ideal: 153
Sun May  9 13:42:47 2010  removing 1522511 relations and 1122511 ideals in 400000 cliques
Sun May  9 13:42:50 2010  commencing in-memory singleton removal
Sun May  9 13:43:07 2010  begin with 63288878 relations and 56611582 unique ideals
Sun May  9 13:44:38 2010  reduce to 63265804 relations and 55465856 ideals in 5 passes
Sun May  9 13:44:38 2010  max relations containing the same ideal: 151
Sun May  9 13:45:57 2010  removing 1500862 relations and 1100862 ideals in 400000 cliques
Sun May  9 13:45:59 2010  commencing in-memory singleton removal
Sun May  9 13:46:16 2010  begin with 61764942 relations and 55465856 unique ideals
Sun May  9 13:47:45 2010  reduce to 61740145 relations and 54340061 ideals in 5 passes
Sun May  9 13:47:45 2010  max relations containing the same ideal: 148
Sun May  9 13:49:03 2010  removing 1498435 relations and 1098435 ideals in 400000 cliques
Sun May  9 13:49:05 2010  commencing in-memory singleton removal
Sun May  9 13:49:22 2010  begin with 60241710 relations and 54340061 unique ideals
Sun May  9 13:51:05 2010  reduce to 60219114 relations and 53218886 ideals in 6 passes
Sun May  9 13:51:05 2010  max relations containing the same ideal: 148
Sun May  9 13:52:20 2010  removing 1473794 relations and 1073794 ideals in 400000 cliques
Sun May  9 13:52:22 2010  commencing in-memory singleton removal
Sun May  9 13:52:39 2010  begin with 58745320 relations and 53218886 unique ideals
Sun May  9 13:54:18 2010  reduce to 58722944 relations and 52122557 ideals in 6 passes
Sun May  9 13:54:18 2010  max relations containing the same ideal: 143
Sun May  9 13:55:32 2010  removing 1457966 relations and 1057966 ideals in 400000 cliques
Sun May  9 13:55:34 2010  commencing in-memory singleton removal
Sun May  9 13:55:50 2010  begin with 57264978 relations and 52122557 unique ideals
Sun May  9 13:57:12 2010  reduce to 57241142 relations and 51040625 ideals in 5 passes
Sun May  9 13:57:12 2010  max relations containing the same ideal: 142
Sun May  9 13:58:24 2010  removing 1456067 relations and 1056067 ideals in 400000 cliques
Sun May  9 13:58:26 2010  commencing in-memory singleton removal
Sun May  9 13:58:42 2010  begin with 55785075 relations and 51040625 unique ideals
Sun May  9 14:00:01 2010  reduce to 55761503 relations and 49960826 ideals in 5 passes
Sun May  9 14:00:01 2010  max relations containing the same ideal: 138
Sun May  9 14:01:12 2010  removing 1439754 relations and 1039754 ideals in 400000 cliques
Sun May  9 14:01:14 2010  commencing in-memory singleton removal
Sun May  9 14:01:29 2010  begin with 54321749 relations and 49960826 unique ideals
Sun May  9 14:02:46 2010  reduce to 54296601 relations and 48895738 ideals in 5 passes
Sun May  9 14:02:46 2010  max relations containing the same ideal: 138
Sun May  9 14:03:54 2010  removing 1436086 relations and 1036086 ideals in 400000 cliques
Sun May  9 14:03:56 2010  commencing in-memory singleton removal
Sun May  9 14:04:10 2010  begin with 52860515 relations and 48895738 unique ideals
Sun May  9 14:05:25 2010  reduce to 52835308 relations and 47834258 ideals in 5 passes
Sun May  9 14:05:25 2010  max relations containing the same ideal: 137
Sun May  9 14:06:32 2010  removing 1424668 relations and 1024668 ideals in 400000 cliques
Sun May  9 14:06:34 2010  commencing in-memory singleton removal
Sun May  9 14:06:48 2010  begin with 51410640 relations and 47834258 unique ideals
Sun May  9 14:08:01 2010  reduce to 51383726 relations and 46782472 ideals in 5 passes
Sun May  9 14:08:01 2010  max relations containing the same ideal: 135
Sun May  9 14:09:05 2010  removing 1416691 relations and 1016691 ideals in 400000 cliques
Sun May  9 14:09:07 2010  commencing in-memory singleton removal
Sun May  9 14:09:21 2010  begin with 49967035 relations and 46782472 unique ideals
Sun May  9 14:10:46 2010  reduce to 49938849 relations and 45737362 ideals in 6 passes
Sun May  9 14:10:46 2010  max relations containing the same ideal: 135
Sun May  9 14:11:49 2010  removing 1418690 relations and 1018690 ideals in 400000 cliques
Sun May  9 14:11:51 2010  commencing in-memory singleton removal
Sun May  9 14:12:04 2010  begin with 48520159 relations and 45737362 unique ideals
Sun May  9 14:13:25 2010  reduce to 48492423 relations and 44690696 ideals in 6 passes
Sun May  9 14:13:25 2010  max relations containing the same ideal: 133
Sun May  9 14:14:26 2010  removing 1410115 relations and 1010115 ideals in 400000 cliques
Sun May  9 14:14:27 2010  commencing in-memory singleton removal
Sun May  9 14:14:40 2010  begin with 47082308 relations and 44690696 unique ideals
Sun May  9 14:15:59 2010  reduce to 47053879 relations and 43651893 ideals in 6 passes
Sun May  9 14:15:59 2010  max relations containing the same ideal: 130
Sun May  9 14:16:57 2010  removing 1405135 relations and 1005135 ideals in 400000 cliques
Sun May  9 14:16:59 2010  commencing in-memory singleton removal
Sun May  9 14:17:11 2010  begin with 45648744 relations and 43651893 unique ideals
Sun May  9 14:18:15 2010  reduce to 45618912 relations and 42616650 ideals in 5 passes
Sun May  9 14:18:15 2010  max relations containing the same ideal: 128
Sun May  9 14:19:11 2010  removing 1401539 relations and 1001539 ideals in 400000 cliques
Sun May  9 14:19:13 2010  commencing in-memory singleton removal
Sun May  9 14:19:25 2010  begin with 44217373 relations and 42616650 unique ideals
Sun May  9 14:20:26 2010  reduce to 44185617 relations and 41583035 ideals in 5 passes
Sun May  9 14:20:27 2010  max relations containing the same ideal: 126
Sun May  9 14:21:21 2010  removing 1401007 relations and 1001007 ideals in 400000 cliques
Sun May  9 14:21:23 2010  commencing in-memory singleton removal
Sun May  9 14:21:35 2010  begin with 42784610 relations and 41583035 unique ideals
Sun May  9 14:22:34 2010  reduce to 42751563 relations and 40548647 ideals in 5 passes
Sun May  9 14:22:34 2010  max relations containing the same ideal: 119
Sun May  9 14:23:27 2010  removing 1400291 relations and 1000291 ideals in 400000 cliques
Sun May  9 14:23:28 2010  commencing in-memory singleton removal
Sun May  9 14:23:40 2010  begin with 41351272 relations and 40548647 unique ideals
Sun May  9 14:24:48 2010  reduce to 41316720 relations and 39513449 ideals in 6 passes
Sun May  9 14:24:48 2010  max relations containing the same ideal: 115
Sun May  9 14:25:40 2010  removing 1401481 relations and 1001481 ideals in 400000 cliques
Sun May  9 14:25:41 2010  commencing in-memory singleton removal
Sun May  9 14:25:52 2010  begin with 39915239 relations and 39513449 unique ideals
Sun May  9 14:26:47 2010  reduce to 39878478 relations and 38474828 ideals in 5 passes
Sun May  9 14:26:47 2010  max relations containing the same ideal: 112
Sun May  9 14:27:37 2010  removing 1404611 relations and 1004611 ideals in 400000 cliques
Sun May  9 14:27:38 2010  commencing in-memory singleton removal
Sun May  9 14:27:49 2010  begin with 38473867 relations and 38474828 unique ideals
Sun May  9 14:28:42 2010  reduce to 38435218 relations and 37431097 ideals in 5 passes
Sun May  9 14:28:42 2010  max relations containing the same ideal: 108
Sun May  9 14:29:30 2010  removing 1304373 relations and 940258 ideals in 364115 cliques
Sun May  9 14:29:31 2010  commencing in-memory singleton removal
Sun May  9 14:29:41 2010  begin with 37130845 relations and 37431097 unique ideals
Sun May  9 14:30:52 2010  reduce to 37096231 relations and 36455843 ideals in 7 passes
Sun May  9 14:30:52 2010  max relations containing the same ideal: 105
Sun May  9 14:31:49 2010  relations with 0 large ideals: 18775
Sun May  9 14:31:49 2010  relations with 1 large ideals: 4946
Sun May  9 14:31:49 2010  relations with 2 large ideals: 74848
Sun May  9 14:31:49 2010  relations with 3 large ideals: 562008
Sun May  9 14:31:49 2010  relations with 4 large ideals: 2318103
Sun May  9 14:31:49 2010  relations with 5 large ideals: 5788256
Sun May  9 14:31:49 2010  relations with 6 large ideals: 9158108
Sun May  9 14:31:49 2010  relations with 7+ large ideals: 19171187
Sun May  9 14:31:49 2010  commencing 2-way merge
Sun May  9 14:32:46 2010  reduce to 26117839 relation sets and 25477451 unique ideals
Sun May  9 14:32:46 2010  commencing full merge
Sun May  9 14:44:40 2010  memory use: 3011.3 MB
Sun May  9 14:44:46 2010  found 13871952 cycles, need 13783651
Sun May  9 14:44:56 2010  weight of 13783651 cycles is about 965071921 (70.02/cycle)
Sun May  9 14:44:56 2010  distribution of cycle lengths:
Sun May  9 14:44:57 2010  1 relations: 1247545
Sun May  9 14:44:58 2010  2 relations: 1664336
Sun May  9 14:44:58 2010  3 relations: 1839332
Sun May  9 14:44:59 2010  4 relations: 1772074
Sun May  9 14:45:00 2010  5 relations: 1639562
Sun May  9 14:45:01 2010  6 relations: 1420812
Sun May  9 14:45:01 2010  7 relations: 1176939
Sun May  9 14:45:02 2010  8 relations: 928615
Sun May  9 14:45:02 2010  9 relations: 697143
Sun May  9 14:45:02 2010  10+ relations: 1397293
Sun May  9 14:45:02 2010  heaviest cycle: 19 relations
Sun May  9 14:45:15 2010  commencing cycle optimization
Sun May  9 14:45:54 2010  start with 71832971 relations
Sun May  9 14:48:53 2010  pruned 1982431 relations
Sun May  9 14:48:54 2010  memory use: 2301.3 MB
Sun May  9 14:48:54 2010  distribution of cycle lengths:
Sun May  9 14:48:54 2010  1 relations: 1247545
Sun May  9 14:48:54 2010  2 relations: 1699350
Sun May  9 14:48:54 2010  3 relations: 1909133
Sun May  9 14:48:54 2010  4 relations: 1824123
Sun May  9 14:48:54 2010  5 relations: 1692290
Sun May  9 14:48:54 2010  6 relations: 1450123
Sun May  9 14:48:54 2010  7 relations: 1190131
Sun May  9 14:48:54 2010  8 relations: 918433
Sun May  9 14:48:54 2010  9 relations: 671942
Sun May  9 14:48:54 2010  10+ relations: 1180581
Sun May  9 14:48:54 2010  heaviest cycle: 18 relations
Sun May  9 14:49:38 2010  RelProcTime: 16695
Sun May  9 14:49:38 2010  
Sun May  9 14:49:38 2010  commencing linear algebra
Sun May  9 14:49:49 2010  read 13783651 cycles
Sun May  9 14:50:23 2010  cycles contain 36833598 unique relations
Sun May  9 14:58:38 2010  read 36833598 relations
Sun May  9 15:00:09 2010  using 20 quadratic characters above 2147482094
Sun May  9 15:04:41 2010  building initial matrix
Sun May  9 15:16:14 2010  memory use: 4846.8 MB
Sun May  9 15:16:33 2010  read 13783651 cycles
Sun May  9 15:17:18 2010  matrix is 13783474 x 13783651 (4137.6 MB) with weight 1192234977 (86.50/col)
Sun May  9 15:17:19 2010  sparse part has weight 933036935 (67.69/col)
Sun May  9 15:26:40 2010  filtering completed in 2 passes
Sun May  9 15:26:46 2010  matrix is 13782202 x 13782379 (4137.6 MB) with weight 1192205939 (86.50/col)
Sun May  9 15:26:46 2010  sparse part has weight 933029691 (67.70/col)
Sun May  9 15:29:31 2010  read 13782379 cycles
Sun May  9 15:30:10 2010  matrix is 13782202 x 13782379 (4137.6 MB) with weight 1192205939 (86.50/col)
Sun May  9 15:30:10 2010  sparse part has weight 933029691 (67.70/col)
Sun May  9 15:30:11 2010  saving the first 48 matrix rows for later
Sun May  9 15:30:25 2010  matrix is 13782154 x 13782379 (3951.9 MB) with weight 959447309 (69.61/col)
Sun May  9 15:30:25 2010  sparse part has weight 898135569 (65.17/col)
Sun May  9 15:30:25 2010  matrix includes 64 packed rows
Sun May  9 15:30:25 2010  using block size 65536 for processor cache size 6144 kB
Sun May  9 15:31:38 2010  commencing Lanczos iteration (4 threads)
Sun May  9 15:31:38 2010  memory use: 4313.8 MB
Sun May  9 15:36:05 2010  linear algebra at 0.0%, ETA 1240h46m
Thu May 13 20:00:16 2010  lanczos halted after 24897 iterations (dim = 1574451)
Thu May 13 20:00:17 2010  BLanczosTime: 364239

Thu May 13 20:05:12 2010  Msieve v. 1.46
Thu May 13 20:05:12 2010  random seeds: 9c80c70b 153127bb
Thu May 13 20:05:12 2010  factoring 411438333096908676370424514300476431875115117016947739240076141692230320801668391583782033502874879637144305275174300135395212348123825200698476000413449809392049118788235478592612094430949013144586150409694291718281224592254325942636079 (237 digits)
Thu May 13 20:05:14 2010  no P-1/P+1/ECM available, skipping
Thu May 13 20:05:14 2010  commencing number field sieve (237-digit input)
Thu May 13 20:05:14 2010  R0: -10000000000000000000000000000000000000000
Thu May 13 20:05:14 2010  R1:  1
Thu May 13 20:05:14 2010  A0: -1
Thu May 13 20:05:14 2010  A1:  0
Thu May 13 20:05:14 2010  A2:  0
Thu May 13 20:05:14 2010  A3:  0
Thu May 13 20:05:14 2010  A4:  0
Thu May 13 20:05:14 2010  A5:  0
Thu May 13 20:05:14 2010  A6:  9000
Thu May 13 20:05:14 2010  skew 0.22, size 3.111601e-12, alpha 1.071555, combined = 2.771837e-13
Thu May 13 20:05:14 2010  
Thu May 13 20:05:14 2010  commencing linear algebra
Thu May 13 20:05:21 2010  read 13782379 cycles
Thu May 13 20:06:00 2010  error -9 reading relation 25251008
Thu May 13 20:06:02 2010  error -9 reading relation 25295680
Thu May 13 20:06:13 2010  error -9 reading relation 26920932
Thu May 13 20:06:15 2010  error -9 reading relation 27029791
Thu May 13 20:06:16 2010  error -15 reading relation 27042134
Thu May 13 20:06:18 2010  error -9 reading relation 27092819
Thu May 13 20:06:26 2010  error -9 reading relation 28284798
Thu May 13 20:06:29 2010  error -9 reading relation 28509807
Thu May 13 20:06:32 2010  error -15 reading relation 28821883
Thu May 13 20:06:36 2010  error -1 reading relation 29137764
Thu May 13 20:06:37 2010  error -15 reading relation 29147206
Thu May 13 20:06:41 2010  matrix is 13782202 x 13782379 (4137.6 MB) with weight 1192205939 (86.50/col)
Thu May 13 20:06:42 2010  sparse part has weight 933029691 (67.70/col)
Thu May 13 20:06:42 2010  saving the first 48 matrix rows for later
Thu May 13 20:06:47 2010  error -9 reading relation 30549320
Thu May 13 20:06:48 2010  matrix is 13782154 x 13782379 (3951.9 MB) with weight 959447309 (69.61/col)
Thu May 13 20:06:48 2010  sparse part has weight 898135569 (65.17/col)
Thu May 13 20:06:48 2010  matrix includes 64 packed rows
Thu May 13 20:06:48 2010  using block size 65536 for processor cache size 8192 kB
Thu May 13 20:07:24 2010  error -15 reading relation 36733225
Thu May 13 20:07:27 2010  error -15 reading relation 37080370
Thu May 13 20:07:28 2010  error -9 reading relation 37160027
Thu May 13 20:07:28 2010  error -5 reading relation 37215881
Thu May 13 20:07:43 2010  commencing Lanczos iteration (4 threads)
Thu May 13 20:07:43 2010  memory use: 4313.8 MB
Thu May 13 20:07:51 2010  restarting at iteration 24897 (dim = 1574451)
Thu May 13 20:08:53 2010  linear algebra at 11.4%, ETA 278h27m
Wed May 26 17:41:22 2010  lanczos halted after 217964 iterations (dim = 13782151)
Wed May 26 17:41:45 2010  recovered 36 nontrivial dependencies
Wed May 26 17:41:49 2010  BLanczosTime: 1114595
Wed May 26 17:41:49 2010  elapsed time 309:36:37
Wed May 26 19:10:06 2010  
Wed May 26 19:10:06 2010  
Wed May 26 19:10:06 2010  Msieve v. 1.46
Wed May 26 19:10:06 2010  random seeds: 32da7306 2b29cc58
Wed May 26 19:10:06 2010  factoring 411438333096908676370424514300476431875115117016947739240076141692230320801668391583782033502874879637144305275174300135395212348123825200698476000413449809392049118788235478592612094430949013144586150409694291718281224592254325942636079 (237 digits)
Wed May 26 19:10:08 2010  no P-1/P+1/ECM available, skipping
Wed May 26 19:10:08 2010  commencing number field sieve (237-digit input)
Wed May 26 19:10:08 2010  R0: -10000000000000000000000000000000000000000
Wed May 26 19:10:08 2010  R1:  1
Wed May 26 19:10:08 2010  A0: -1
Wed May 26 19:10:08 2010  A1:  0
Wed May 26 19:10:08 2010  A2:  0
Wed May 26 19:10:08 2010  A3:  0
Wed May 26 19:10:08 2010  A4:  0
Wed May 26 19:10:08 2010  A5:  0
Wed May 26 19:10:08 2010  A6:  9000
Wed May 26 19:10:08 2010  skew 0.22, size 3.111601e-12, alpha 1.071555, combined = 2.771837e-13
Wed May 26 19:10:08 2010  
Wed May 26 19:10:08 2010  commencing square root phase
Wed May 26 19:10:08 2010  reading relations for dependency 1
Wed May 26 19:10:13 2010  read 6893601 cycles
Wed May 26 19:10:24 2010  cycles contain 18417680 unique relations
Wed May 26 19:17:36 2010  read 18417680 relations
Wed May 26 19:20:47 2010  multiplying 18417680 relations
Wed May 26 22:31:42 2010  multiply complete, coefficients have about 688.00 million bits
Wed May 26 22:31:48 2010  initial square root is modulo 1487251
Thu May 27 04:37:09 2010  reading relations for dependency 2
Thu May 27 04:37:15 2010  read 6886116 cycles
Thu May 27 04:37:37 2010  cycles contain 18401976 unique relations
Thu May 27 04:44:41 2010  read 18401976 relations
Thu May 27 04:47:55 2010  multiplying 18401976 relations
Thu May 27 07:58:16 2010  multiply complete, coefficients have about 687.41 million bits
Thu May 27 07:58:23 2010  initial square root is modulo 1469509
Thu May 27 13:49:09 2010  sqrtTime: 67141
Thu May 27 13:49:09 2010  prp77 factor: 66131837310307559141778487480493107856542594017224928411277770245846665669403
Thu May 27 13:49:09 2010  prp160 factor: 6221486500765650681748200556437692560926457434114322812952883282505160895367768897268883784861247071526097233574950034555916608119515375191331045259329450567293
Thu May 27 13:49:09 2010  elapsed time 18:39:03
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
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e60--
403e6300Serge BatalovNovember 13, 2008 21:53:51 UTC 2008 年 11 月 14 日 (金) 6 時 53 分 51 秒 (日本時間)
4511e644132200Serge BatalovDecember 31, 2008 23:54:37 UTC 2009 年 1 月 1 日 (木) 8 時 54 分 37 秒 (日本時間)
2213Jo Yeong UkMarch 4, 2009 02:53:47 UTC 2009 年 3 月 4 日 (水) 11 時 53 分 47 秒 (日本時間)

9×10245-1

c195

composite cofactor 合成数の残り
339532637756691064099979297959976382666189473964798133778656689443265687015691551665577564600322675698680258500385768470772877278355959799098195918708103977987748420059618510280852951228327296483<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 16:39:08 UTC 2010 年 9 月 15 日 (水) 1 時 39 分 8 秒 (日本時間)
403e62144110Ignacio SantosSeptember 14, 2010 16:39:08 UTC 2010 年 9 月 15 日 (水) 1 時 39 分 8 秒 (日本時間)
2034KTakahashiJanuary 2, 2014 22:23:02 UTC 2014 年 1 月 3 日 (金) 7 時 23 分 2 秒 (日本時間)
4511e6491 / 399132Ignacio SantosSeptember 14, 2010 16:39:08 UTC 2010 年 9 月 15 日 (水) 1 時 39 分 8 秒 (日本時間)
59KTakahashiFebruary 8, 2014 22:46:46 UTC 2014 年 2 月 9 日 (日) 7 時 46 分 46 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:07 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 7 秒 (日本時間)
100KTakahashiSeptember 20, 2014 01:15:48 UTC 2014 年 9 月 20 日 (土) 10 時 15 分 48 秒 (日本時間)

9×10247-1

c218

composite cofactor 合成数の残り
12630815039449560205963291928005946973269477358319164351123083186295835583586818232098279066553124847974445214981296311324549796426364058808409578975294269836041018310628409790287918526397585938651600317651381893456399<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 18:10:28 UTC 2010 年 9 月 15 日 (水) 3 時 10 分 28 秒 (日本時間)
403e61781110Ignacio SantosSeptember 14, 2010 18:10:28 UTC 2010 年 9 月 15 日 (水) 3 時 10 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:32 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 32 秒 (日本時間)
1371KTakahashiFebruary 8, 2014 11:12:32 UTC 2014 年 2 月 8 日 (土) 20 時 12 分 32 秒 (日本時間)
4511e6438 / 393832Ignacio SantosSeptember 14, 2010 18:10:28 UTC 2010 年 9 月 15 日 (水) 3 時 10 分 28 秒 (日本時間)
6KTakahashiFebruary 8, 2014 12:00:25 UTC 2014 年 2 月 8 日 (土) 21 時 0 分 25 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:08 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 8 秒 (日本時間)
100KTakahashiSeptember 20, 2014 06:39:11 UTC 2014 年 9 月 20 日 (土) 15 時 39 分 11 秒 (日本時間)
5043e638 / 7386KTakahashiFebruary 7, 2014 23:52:18 UTC 2014 年 2 月 8 日 (土) 8 時 52 分 18 秒 (日本時間)

9×10249-1

c172

name 名前Serge Batalov
date 日付November 2, 2008 03:17:24 UTC 2008 年 11 月 2 日 (日) 12 時 17 分 24 秒 (日本時間)
composite number 合成数
1406516687507491255844723603934043674212801705312913305620373091921812548654728457107268557100481692968055818939700958439740000235504711315308340895595758317274416361985237<172>
prime factors 素因数
173971508153106043979381596158458837<36>
composite cofactor 合成数の残り
8084753086520734729835410115388355154353484488692121661133313572891265091227154991684283911329904836521257457036748584838069340122707201<136>
factorization results 素因数分解の結果
# ain't no such thing as a GNFS-172 :-)
#
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2491863350
Step 1 took 21203ms
Step 2 took 14217ms
********** Factor found in step 2: 173971508153106043979381596158458837
Found probable prime factor of 36 digits: 173971508153106043979381596158458837
Composite cofactor 8084753086520734729835410115388355154353484488692121661133313572891265091227154991684283911329904836521257457036748584838069340122707201 has 136 digits
software ソフトウェア
GMP-ECM 6.2.1

c136

name 名前matsui
date 日付May 29, 2009 07:31:12 UTC 2009 年 5 月 29 日 (金) 16 時 31 分 12 秒 (日本時間)
composite number 合成数
8084753086520734729835410115388355154353484488692121661133313572891265091227154991684283911329904836521257457036748584838069340122707201<136>
prime factors 素因数
12401770836281816440614430558156356059434053950562553627081<59>
651903118776272291480393446015384353260696868728533727242356292283467348358521<78>
factorization results 素因数分解の結果
N=8084753086520734729835410115388355154353484488692121661133313572891265091227154991684283911329904836521257457036748584838069340122707201
  ( 136 digits)
Divisors found:
 r1=12401770836281816440614430558156356059434053950562553627081 (pp59)
 r2=651903118776272291480393446015384353260696868728533727242356292283467348358521 (pp78)
Version: Msieve v. 1.41
Total time: 226.30 hours.
Scaled time: 501.03 units (timescale=2.214).
Factorization parameters were as follows:
n: 8084753086520734729835410115388355154353484488692121661133313572891265091227154991684283911329904836521257457036748584838069340122707201
m: 
c5: 720360
c4: -1815557350383
c3: -23809703162461182
c2: 28998780185371742771312
c1: 325033929753928457456535728
c0: -26134567168271472059124246564480
Y1: 1303012087128367
Y0: -102335477824812549114012973
skew: 136467.92
type: gnfs
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [4900000, 9600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1702773 x 1703021
Total sieving time: 220.58 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 5.01 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,9800000,9800000,28,28,55,55,2.5,2.5,100000
total time: 226.30 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2007 08:00:00 UTC 2007 年 10 月 31 日 (水) 17 時 0 分 0 秒 (日本時間)
351e60--
403e6500 / 2336Erik BrangerMay 7, 2009 07:37:14 UTC 2009 年 5 月 7 日 (木) 16 時 37 分 14 秒 (日本時間)

9×10251-1

c242

composite cofactor 合成数の残り
35960677334488249856212720050527299269163598793324240696580212829398636161352849682680547863493975425635918090494800539022120335099729968409028033417599126806860559817779675426627557741778203687640423565639720597289060379209377280175524315397<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:47:35 UTC 2014 年 2 月 27 日 (木) 20 時 47 分 35 秒 (日本時間)
403e60--
4511e6939 / 4439610CypMarch 11, 2014 15:07:06 UTC 2014 年 3 月 12 日 (水) 0 時 7 分 6 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:08 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 8 秒 (日本時間)
29KTakahashiSeptember 19, 2014 03:08:58 UTC 2014 年 9 月 19 日 (金) 12 時 8 分 58 秒 (日本時間)

9×10253-1

c216

composite cofactor 合成数の残り
637214419813345381623582058351385514761429359247194690390141831026842106136135052779775418117358598715878326743941135487780505604548660909451539379907416495127711658001188361926870695446194999576762451263045305207991<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:47:59 UTC 2014 年 2 月 27 日 (木) 20 時 47 分 59 秒 (日本時間)
403e62104KTakahashiFebruary 27, 2014 11:47:59 UTC 2014 年 2 月 27 日 (木) 20 時 47 分 59 秒 (日本時間)
4511e6474 / 397474KTakahashiFebruary 27, 2014 11:47:59 UTC 2014 年 2 月 27 日 (木) 20 時 47 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:09 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 9 秒 (日本時間)
100KTakahashiSeptember 20, 2014 03:51:48 UTC 2014 年 9 月 20 日 (土) 12 時 51 分 48 秒 (日本時間)

9×10255-1

c229

name 名前KTakahashi
date 日付February 27, 2014 12:32:29 UTC 2014 年 2 月 27 日 (木) 21 時 32 分 29 秒 (日本時間)
composite number 合成数
1698638926931445414769221016623436135345428749600065394533996884640822655512257561955499017485352060420452248331044691919204833090787031501179214854244248923866972430014220460446921086426560368536212703115796647718625935000362671<229>
prime factors 素因数
321530786398558852998907635460027951<36>
288710858605506615195314701757164872079<39>
18298495829842078682637807148872885797179034186728330933469644452681342811521827144916564211949441219056503273481157035605485468948084125785526056633673199<155>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 1698638926931445414769221016623436135345428749600065394533996884640822655512257561955499017485352060420452248331044691919204833090787031501179214854244248923866972430014220460446921086426560368536212703115796647718625935000362671 (229 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1110199049
Step 1 took 5585ms
Step 2 took 3042ms
********** Factor found in step 2: 321530786398558852998907635460027951
Found probable prime factor of 36 digits: 321530786398558852998907635460027951
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2093494911
Step 1 took 15490ms
Step 2 took 6381ms
********** Factor found in step 2: 288710858605506615195314701757164872079
Found probable prime factor of 39 digits: 288710858605506615195314701757164872079
Probable prime cofactor 18298495829842078682637807148872885797179034186728330933469644452681342811521827144916564211949441219056503273481157035605485468948084125785526056633673199 has 155 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)

9×10257-1

c252

name 名前Serge Batalov
date 日付March 2, 2014 02:57:10 UTC 2014 年 3 月 2 日 (日) 11 時 57 分 10 秒 (日本時間)
composite number 合成数
517573637789316475001480835685897211025698681279879094798212415671439654076783774411504396788053020243455137579699151696807663310297472572910310814471128879861382278163625729850714510406968151393739544293664381099820977029506873090368932239834422442453<252>
prime factors 素因数
113169594233921775105667581270054668671<39>
composite cofactor 合成数の残り
4573433715062110605840328531636055663845343444149353909827869756842782418455462763272712593308922128566103142333063470783314468832603127823372633720269171838440887314100358711405038713473681724962205564602371497643<214>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=323121621
Step 1 took 188355ms
Step 2 took 86018ms
********** Factor found in step 2: 113169594233921775105667581270054668671
Found probable prime factor of 39 digits: 113169594233921775105667581270054668671
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:48:36 UTC 2014 年 2 月 27 日 (木) 20 時 48 分 36 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:01:18 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 18 秒 (日本時間)
4511e6651 / 4151KTakahashiSeptember 22, 2014 09:31:24 UTC 2014 年 9 月 22 日 (月) 18 時 31 分 24 秒 (日本時間)

9×10259-1

c239

name 名前Serge Batalov
date 日付May 26, 2014 19:36:38 UTC 2014 年 5 月 27 日 (火) 4 時 36 分 38 秒 (日本時間)
composite number 合成数
60902487050837135707978708821099803837161799251574248043647787631733575078801634083998846863224354440368943632696345908298114104892821582466285542824977908102319416094161299888206867372745173802969199008702955579327539083782171973150307191<239>
prime factors 素因数
29266833064460507783125316811706559201<38>
composite cofactor 合成数の残り
2080938751271747344012902297788097975110446888671819766716719703735632773822053903590186078565752693364322848743836819442044507596733781993537734315840506038439836443149250824112860940096462233181339991<202>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1850900544
Step 1 took 24517ms
Step 2 took 15777ms
********** Factor found in step 2: 29266833064460507783125316811706559201
Found probable prime factor of 38 digits: 29266833064460507783125316811706559201
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:48:51 UTC 2014 年 2 月 27 日 (木) 20 時 48 分 51 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:01:18 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 18 秒 (日本時間)
4511e6651 / 4151KTakahashiSeptember 20, 2014 01:12:38 UTC 2014 年 9 月 20 日 (土) 10 時 12 分 38 秒 (日本時間)

9×10263-1

c249

name 名前KTakahashi
date 日付February 27, 2014 11:50:37 UTC 2014 年 2 月 27 日 (木) 20 時 50 分 37 秒 (日本時間)
composite number 合成数
446257051116753127226016173175251249900739800616913059410671634173354031892060824757476449822206425795586245165059415970254895576613848522213286939886913935979237252868825213902671144100862925099504671247291759457751570283696335786701400176031528483<249>
prime factors 素因数
26925974600010539623523869081<29>
16573478128311777023144881398755941404840565198233369792725410145332307476430599690485167343154132962175643585155756781811649756897370352923840332726007284173002698877331639387326198268951835761356793664910816333105718043<221>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 446257051116753127226016173175251249900739800616913059410671634173354031892060824757476449822206425795586245165059415970254895576613848522213286939886913935979237252868825213902671144100862925099504671247291759457751570283696335786701400176031528483 (249 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3422898588
Step 1 took 7269ms
Step 2 took 3729ms
********** Factor found in step 2: 26925974600010539623523869081
Found probable prime factor of 29 digits: 26925974600010539623523869081
Probable prime cofactor 16573478128311777023144881398755941404840565198233369792725410145332307476430599690485167343154132962175643585155756781811649756897370352923840332726007284173002698877331639387326198268951835761356793664910816333105718043 has 221 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)

9×10267-1

c259

composite cofactor 合成数の残り
4390751154139798089034743506019158060108552960344464068180356693685913330995167276322545729184189473549858676380578482332950924439212616177122850820430562629550301964665655478952554054794805418810801161390172290679889760474079432539555012367382429047831135071<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 18:18:24 UTC 2014 年 2 月 28 日 (金) 3 時 18 分 24 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:01:19 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 19 秒 (日本時間)
4511e6651 / 4151KTakahashiOctober 1, 2014 09:31:10 UTC 2014 年 10 月 1 日 (水) 18 時 31 分 10 秒 (日本時間)

9×10269-1

c268

composite cofactor 合成数の残り
1502504173622704507512520868113522537562604340567612687813021702838063439065108514190317195325542570951585976627712854757929883138564273789649415692821368948247078464106844741235392320534223706176961602671118530884808013355592654424040066777963272120200333889816360601<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6204118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
86KTakahashiMarch 1, 2014 06:24:46 UTC 2014 年 3 月 1 日 (土) 15 時 24 分 46 秒 (日本時間)
403e688KTakahashiMarch 1, 2014 07:21:17 UTC 2014 年 3 月 1 日 (土) 16 時 21 分 17 秒 (日本時間)
4511e6308989KTakahashiMarch 1, 2014 06:24:46 UTC 2014 年 3 月 1 日 (土) 15 時 24 分 46 秒 (日本時間)
1000Serge BatalovMarch 2, 2014 03:23:07 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 7 秒 (日本時間)
2000Serge BatalovMay 18, 2014 20:07:31 UTC 2014 年 5 月 19 日 (月) 5 時 7 分 31 秒 (日本時間)
5043e61000Serge BatalovMay 18, 2014 20:16:45 UTC 2014 年 5 月 19 日 (月) 5 時 16 分 45 秒 (日本時間)
5511e78000 / 17218Serge BatalovMay 25, 2014 06:47:58 UTC 2014 年 5 月 25 日 (日) 15 時 47 分 58 秒 (日本時間)

9×10271-1

c263

composite cofactor 合成数の残り
20963271644411838927441728760084969087306909264366908202912611759763559507679065469536740702838697010884667064607483220739411108917610124394281376859696927725464778390159379470817290536546251956503016042608777591425188584095168458732479431249557865675843564222999<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e6975 / 4475672CypMarch 4, 2014 14:09:48 UTC 2014 年 3 月 4 日 (火) 23 時 9 分 48 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:09 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 9 秒 (日本時間)
3KTakahashiSeptember 18, 2014 01:49:15 UTC 2014 年 9 月 18 日 (木) 10 時 49 分 15 秒 (日本時間)

9×10279-1

c255

composite cofactor 合成数の残り
632317361770969431562065367045606333435582829491949146963959401360423465107007112921429708756171266859039368494651488506267368646315403931326683298670119974603371117573424996843672164935060690299048176029766066088373737878922423795924993624086981241542403<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:52:16 UTC 2014 年 2 月 27 日 (木) 20 時 52 分 16 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:01:19 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 19 秒 (日本時間)
4511e6651 / 4151KTakahashiSeptember 27, 2014 07:03:56 UTC 2014 年 9 月 27 日 (土) 16 時 3 分 56 秒 (日本時間)

9×10281-1

c212

composite cofactor 合成数の残り
49344771035846861855860960739394285052969137490941733916898179138172560555444499782875144143795614440409301727944141950743221032111825475182283488057991843331816120723558798322106281297308100180084168354493335711<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:52:39 UTC 2014 年 2 月 27 日 (木) 20 時 52 分 39 秒 (日本時間)
403e62104KTakahashiFebruary 27, 2014 11:52:39 UTC 2014 年 2 月 27 日 (木) 20 時 52 分 39 秒 (日本時間)
4511e6474 / 397474KTakahashiFebruary 27, 2014 11:52:39 UTC 2014 年 2 月 27 日 (木) 20 時 52 分 39 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:09 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 9 秒 (日本時間)
100KTakahashiSeptember 20, 2014 01:18:15 UTC 2014 年 9 月 20 日 (土) 10 時 18 分 15 秒 (日本時間)

9×10283-1

c256

composite cofactor 合成数の残り
6418451370813267448524277647696297398474009627636426333345782343860915871597598615147601129811338663102416694894416807207133716630586784518397412403890770756123503732260888347558733249474644576611122443913114640909775700194790825272340807209964739146367813<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:52:59 UTC 2014 年 2 月 27 日 (木) 20 時 52 分 59 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:01:20 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 20 秒 (日本時間)
4511e6651 / 4151KTakahashiSeptember 28, 2014 05:54:12 UTC 2014 年 9 月 28 日 (日) 14 時 54 分 12 秒 (日本時間)

9×10287-1

c247

composite cofactor 合成数の残り
1497933188329108508773131324355856824860834967482782098046300804961612760551924707848502945910421775684390461843887295591372802033093576101212834286745930385104334107311126715527272469034728820749193902559133227578312129578883080672006389406582547<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:53:23 UTC 2014 年 2 月 27 日 (木) 20 時 53 分 23 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:01:20 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 20 秒 (日本時間)
4511e6651 / 4151109CypMarch 11, 2014 17:53:26 UTC 2014 年 3 月 12 日 (水) 2 時 53 分 26 秒 (日本時間)
126KTakahashiJune 18, 2014 21:18:46 UTC 2014 年 6 月 19 日 (木) 6 時 18 分 46 秒 (日本時間)
416KTakahashiSeptember 19, 2014 01:13:36 UTC 2014 年 9 月 19 日 (金) 10 時 13 分 36 秒 (日本時間)

9×10289-1

c220

composite cofactor 合成数の残り
3063835292205742080634463277548004024647898602763269955423905521655591988702405161307010938063902328858820151492253313476664663225199088095769520300806078493049402447838138088358949303303135124340125725016755366580459369<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:53:37 UTC 2014 年 2 月 27 日 (木) 20 時 53 分 37 秒 (日本時間)
403e60--
4511e6939 / 4439610CypMarch 7, 2014 15:42:22 UTC 2014 年 3 月 8 日 (土) 0 時 42 分 22 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:10 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 10 秒 (日本時間)
29KTakahashiSeptember 19, 2014 02:44:41 UTC 2014 年 9 月 19 日 (金) 11 時 44 分 41 秒 (日本時間)

9×10291-1

c266

name 名前Serge Batalov
date 日付February 28, 2014 14:51:41 UTC 2014 年 2 月 28 日 (金) 23 時 51 分 41 秒 (日本時間)
composite number 合成数
21472686889400505661256263827886217308691030772211747079600554669038493379554936674200235408628888597990097190601308448246791955512899959331315399810789802022540655439508080976562332920250339340542706971471601290810779742761628700129078215057772574097342522584924929<266>
prime factors 素因数
3801150868583505451430911707427<31>
15435654256774777392802798353839<32>
365970636963182381920245893844044874346052564692282193625222042499960645560808671628406226445962642741667496404721477120689558268778923581587518194687754810687012055553357846166862445709026648899786161893<204>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3418511468
Step 1 took 26593ms
Step 2 took 18157ms
********** Factor found in step 2: 15435654256774777392802798353839
Found probable prime factor of 32 digits: 15435654256774777392802798353839

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1240117216
Step 1 took 27006ms
Step 2 took 18453ms
********** Factor found in step 2: 3801150868583505451430911707427
Found probable prime factor of 31 digits: 3801150868583505451430911707427

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)

9×10293-1

c281

composite cofactor 合成数の残り
10692092339193328223798093001974330417546533254540513658880065598074859517779319447464284099169756226446111168107563700050410125306398012967743210525864002104269878851516834196229296368729206291299062263564154246619638230441965109737418955687189027574553511004550155906115982361987<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e6975 / 4475672CypMarch 3, 2014 21:31:34 UTC 2014 年 3 月 4 日 (火) 6 時 31 分 34 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:10 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 10 秒 (日本時間)
3KTakahashiSeptember 18, 2014 01:49:36 UTC 2014 年 9 月 18 日 (木) 10 時 49 分 36 秒 (日本時間)

9×10295-1

c243

name 名前Serge Batalov
date 日付May 27, 2014 00:22:29 UTC 2014 年 5 月 27 日 (火) 9 時 22 分 29 秒 (日本時間)
composite number 合成数
165113621741461224721789873792335490861465637633472275072552621330092213461003795113810052877915268194164074737758997626602435097465382264668643884381687141936372470477472699033759837702759303776018005765316297376546650816005484380347656645197<243>
prime factors 素因数
170817465494572286559534373061975039<36>
966608544760943657203822452479774279633858548406331200434477660193332321843364655771133424343997568643698689199630918778933149756392441549750199250480543723364793255164542262416453461219451954746840988428723<207>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2225292069
Step 1 took 20966ms
Step 2 took 7201ms
********** Factor found in step 2: 170817465494572286559534373061975039
Found probable prime factor of 36 digits: 170817465494572286559534373061975039
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 14:10:55 UTC 2014 年 2 月 27 日 (木) 23 時 10 分 55 秒 (日本時間)
403e61300 / 2104Serge BatalovMay 26, 2014 18:01:21 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 21 秒 (日本時間)

9×10297-1

c259

composite cofactor 合成数の残り
2945886419244823256861693699607909778863624774158900448614345842561979447852102951601439857288447477492536291909679107892245085904124014097104672963132357471927026989830186237671597540047571052408944691621536868845801675322591529050747936876450870810300435723<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 18:17:40 UTC 2014 年 2 月 28 日 (金) 3 時 17 分 40 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:01:21 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 21 秒 (日本時間)
4511e6651 / 4151KTakahashiSeptember 30, 2014 09:33:35 UTC 2014 年 9 月 30 日 (火) 18 時 33 分 35 秒 (日本時間)