Table of contents 目次

7×10117+1739

c117

name 名前KTakahashi
date 日付January 8, 2015 13:52:26 UTC 2015 年 1 月 8 日 (木) 22 時 52 分 26 秒 (日本時間)
composite number 合成数
777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797<117>
prime factors 素因数
13934559223903724526879143501803909016482095539671<50>
55816460734800744634084625927474842132632412537349256844750540623107<68>
factorization results 素因数分解の結果
Number: 77797_117
N=777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797
  ( 117 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=13934559223903724526879143501803909016482095539671 (pp50)
 r2=55816460734800744634084625927474842132632412537349256844750540623107 (pp68)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.81 hours.
Scaled time: 3.76 units (timescale=2.075).
Factorization parameters were as follows:
n: 777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797
m: 100000000000000000000000
c5: 700
c0: 173
skew: 0.76
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 108298 x 108524
Total sieving time: 1.75 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.81 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
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10128+1739

c97

name 名前KTakahashi
date 日付January 8, 2015 14:38:46 UTC 2015 年 1 月 8 日 (木) 23 時 38 分 46 秒 (日本時間)
composite number 合成数
7479151794407286621381483292558380561324946134480114799309843118875983935745540328792857868515131<97>
prime factors 素因数
901042408307487865651299214241<30>
8300554696927169241407648828612255289333714823204534017224507731291<67>
factorization results 素因数分解の結果
Input number is 7479151794407286621381483292558380561324946134480114799309843118875983935745540328792857868515131 (97 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3254374106
Step 1 took 3214ms
Step 2 took 1903ms
********** Factor found in step 2: 901042408307487865651299214241
Found probable prime factor of 30 digits: 901042408307487865651299214241
Probable prime cofactor 8300554696927169241407648828612255289333714823204534017224507731291 has 67 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10129+1739

c104

name 名前KTakahashi
date 日付January 8, 2015 14:51:41 UTC 2015 年 1 月 8 日 (木) 23 時 51 分 41 秒 (日本時間)
composite number 合成数
15546864690193892558369290735826376434537883299643324630085241183857365669124454940861022724988239483083<104>
prime factors 素因数
4836793629267341643160399160231<31>
3214291508349689522163933296430138236870219286756760501191144484693253693<73>
factorization results 素因数分解の結果
Input number is 15546864690193892558369290735826376434537883299643324630085241183857365669124454940861022724988239483083 (104 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1045563762
Step 1 took 2683ms
********** Factor found in step 1: 4836793629267341643160399160231
Found probable prime factor of 31 digits: 4836793629267341643160399160231
Probable prime cofactor 3214291508349689522163933296430138236870219286756760501191144484693253693 has 73 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10130+1739

c127

name 名前KTakahashi
date 日付January 8, 2015 14:58:57 UTC 2015 年 1 月 8 日 (木) 23 時 58 分 57 秒 (日本時間)
composite number 合成数
2755146219545794466092021883732829535167473530916676506474593615932616995316251426772149407643562797654189790215294997441649939<127>
prime factors 素因数
57454471465048781454483565476094725210861467129404933<53>
47953556081737340230159499723338186617713857850027428560945031589038678583<74>
factorization results 素因数分解の結果
Number: 77797_130
N=2755146219545794466092021883732829535167473530916676506474593615932616995316251426772149407643562797654189790215294997441649939
  ( 127 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=57454471465048781454483565476094725210861467129404933 (pp53)
 r2=47953556081737340230159499723338186617713857850027428560945031589038678583 (pp74)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.08 hours.
Scaled time: 6.36 units (timescale=2.068).
Factorization parameters were as follows:
n: 2755146219545794466092021883732829535167473530916676506474593615932616995316251426772149407643562797654189790215294997441649939
m: 100000000000000000000000000
c5: 7
c0: 173
skew: 1.90
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 117635 x 117883
Total sieving time: 3.02 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.08 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:58:25 UTC 2015 年 1 月 8 日 (木) 23 時 58 分 25 秒 (日本時間)

7×10131+1739

c115

name 名前KTakahashi
date 日付January 8, 2015 15:52:39 UTC 2015 年 1 月 9 日 (金) 0 時 52 分 39 秒 (日本時間)
composite number 合成数
6836736347903374416989753065775775716585685967876473615480998250434174301501425126471044957688975993458980636216943<115>
prime factors 素因数
9931197927112359657708665141427348838319<40>
688410038555263696809662291601704521436828065674081173667744370103793100097<75>
factorization results 素因数分解の結果
Number: 77797_131
N=6836736347903374416989753065775775716585685967876473615480998250434174301501425126471044957688975993458980636216943
  ( 115 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=9931197927112359657708665141427348838319 (pp40)
 r2=688410038555263696809662291601704521436828065674081173667744370103793100097 (pp75)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.28 hours.
Scaled time: 8.85 units (timescale=2.068).
Factorization parameters were as follows:
n: 6836736347903374416989753065775775716585685967876473615480998250434174301501425126471044957688975993458980636216943
m: 100000000000000000000000000
c5: 70
c0: 173
skew: 1.20
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 135944 x 136172
Total sieving time: 4.19 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.28 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:52:01 UTC 2015 年 1 月 9 日 (金) 0 時 52 分 1 秒 (日本時間)

7×10134+1739

c134

name 名前KTakahashi
date 日付January 8, 2015 15:53:26 UTC 2015 年 1 月 9 日 (金) 0 時 53 分 26 秒 (日本時間)
composite number 合成数
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797<134>
prime factors 素因数
56650914801524618154356560950320869511394631528079778954661<59>
1372930658759363631154647116268988240512500115665823453260595196687444634977<76>
factorization results 素因数分解の結果
Number: 77797_134
N=77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797
  ( 134 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=56650914801524618154356560950320869511394631528079778954661 (pp59)
 r2=1372930658759363631154647116268988240512500115665823453260595196687444634977 (pp76)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.45 hours.
Scaled time: 13.37 units (timescale=2.075).
Factorization parameters were as follows:
n: 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797
m: 500000000000000000000000000
c5: 112
c0: 865
skew: 1.51
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1775001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 151415 x 151640
Total sieving time: 6.35 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 6.45 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:52:51 UTC 2015 年 1 月 9 日 (金) 0 時 52 分 51 秒 (日本時間)

7×10137+1739

c115

name 名前KTakahashi
date 日付January 8, 2015 15:54:25 UTC 2015 年 1 月 9 日 (金) 0 時 54 分 25 秒 (日本時間)
composite number 合成数
3416249128618456765240568704310348515192543122179168260866518038673621475662364848009657529597593569616083328981293<115>
prime factors 素因数
84039819962719239811716725103117274529737<41>
40650362294135484505976648309646192180186375881004678653892261977656453189<74>
factorization results 素因数分解の結果
Input number is 3416249128618456765240568704310348515192543122179168260866518038673621475662364848009657529597593569616083328981293 (115 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2155356900
Step 1 took 2605ms
********** Factor found in step 1: 84039819962719239811716725103117274529737
Found probable prime factor of 41 digits: 84039819962719239811716725103117274529737
Probable prime cofactor 40650362294135484505976648309646192180186375881004678653892261977656453189 has 74 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10138+1739

c112

name 名前Pierre Jammes
date 日付January 10, 2015 09:32:14 UTC 2015 年 1 月 10 日 (土) 18 時 32 分 14 秒 (日本時間)
composite number 合成数
8252742146717690294748572332602787831710464411796815860630149027276720420259239004515814737014591412029813046209<112>
prime factors 素因数
983687277826222733124345483512873<33>
8389599350064596382819708864633924122026483461210091201840073607357830011151833<79>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=386428863
Step 1 took 55404ms
Step 2 took 46680ms
********** Factor found in step 2: 983687277826222733124345483512873
Found probable prime factor of 33 digits: 983687277826222733124345483512873
Probable prime cofactor 8389599350064596382819708864633924122026483461210091201840073607357830011151833 has 79 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:54:48 UTC 2015 年 1 月 9 日 (金) 0 時 54 分 48 秒 (日本時間)

7×10141+1739

c118

name 名前Jo Yeong Uk
date 日付January 13, 2015 21:28:56 UTC 2015 年 1 月 14 日 (水) 6 時 28 分 56 秒 (日本時間)
composite number 合成数
2322475706067892238049124760264207939126766032419662854303757244283985333380503051417738021549522839251556694721382923<118>
prime factors 素因数
1362168494093457095387348189089918906211587<43>
1704984160284468722081235724841943304516516844591141393143723230496230128729<76>
factorization results 素因数分解の結果
Number: 77797_141
N=2322475706067892238049124760264207939126766032419662854303757244283985333380503051417738021549522839251556694721382923
  ( 118 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=1362168494093457095387348189089918906211587
 r2=1704984160284468722081235724841943304516516844591141393143723230496230128729
Version: 
Total time: 2.68 hours.
Scaled time: 14.02 units (timescale=5.240).
Factorization parameters were as follows:
n: 2322475706067892238049124760264207939126766032419662854303757244283985333380503051417738021549522839251556694721382923
m: 10000000000000000000000000000
deg: 5
c5: 70
c0: 173
skew: 1.20
# Murphy_E = 2.22e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [1000000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4373003
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 299862 x 300110
Total sieving time: 2.38 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,48,48,2.3,2.3,50000
total time: 2.68 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:55:17 UTC 2015 年 1 月 9 日 (金) 0 時 55 分 17 秒 (日本時間)
403e60--
4511e6642 / 4439Pierre JammesJanuary 11, 2015 08:24:08 UTC 2015 年 1 月 11 日 (日) 17 時 24 分 8 秒 (日本時間)

7×10142+1739

c104

name 名前Dmitry Domanov
date 日付January 12, 2015 16:13:05 UTC 2015 年 1 月 13 日 (火) 1 時 13 分 5 秒 (日本時間)
composite number 合成数
23062337837298008239704953994491402551578341138811974284140350029194074856517279275323050856269176387437<104>
prime factors 素因数
1646900147377012263509652624888638257832796085099<49>
14003482769753206843123730548717170450459869715385353863<56>
factorization results 素因数分解の結果
N=23062337837298008239704953994491402551578341138811974284140350029194074856517279275323050856269176387437
  ( 104 digits)
Divisors found:
 r1=1646900147377012263509652624888638257832796085099 (pp49)
 r2=14003482769753206843123730548717170450459869715385353863 (pp56)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 5.29 hours.
Scaled time: 9.71 units (timescale=1.835).
Factorization parameters were as follows:
n: 23062337837298008239704953994491402551578341138811974284140350029194074856517279275323050856269176387437
skew: 773239.37
c0: 2342596531140346340509171200
c1: 11779965259984069897656
c2: -6781822533009107
c3: -48129237296
c4: 14952
Y0: -6266888057917199012501519
Y1: 16619735718695
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1780001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 270597 x 270824
Total sieving time: 5.07 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 5.29 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:55:29 UTC 2015 年 1 月 9 日 (金) 0 時 55 分 29 秒 (日本時間)
403e60--
4511e6610 / 4439Pierre JammesJanuary 10, 2015 20:16:04 UTC 2015 年 1 月 11 日 (日) 5 時 16 分 4 秒 (日本時間)

7×10146+1739

c144

name 名前Cyp
date 日付January 13, 2015 22:36:36 UTC 2015 年 1 月 14 日 (水) 7 時 36 分 36 秒 (日本時間)
composite number 合成数
515084621044885945548197203826342899190581309786607799852832965415746872700515084621044885945548197203826342899190581309786607799852832965415747<144>
prime factors 素因数
245366762689625562879022493369201206519<39>
2099243660382957063419946452258994803262944731041018431628889727189677302000555967633483009605748693749013<106>
factorization results 素因数分解の結果
01/13/15 22:15:13 v1.34.3, 
01/13/15 22:15:13 v1.34.3, ****************************
01/13/15 22:15:13 v1.34.3, Starting factorization of 515084621044885945548197203826342899190581309786607799852832965415746872700515084621044885945548197203826342899190581309786607799852832965415747
01/13/15 22:15:13 v1.34.3, using pretesting plan: none
01/13/15 22:15:13 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/13/15 22:15:13 v1.34.3, ****************************
01/13/15 22:15:13 v1.34.3, nfs: commencing nfs on c144: 515084621044885945548197203826342899190581309786607799852832965415746872700515084621044885945548197203826342899190581309786607799852832965415747
01/13/15 22:15:13 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/13/15 22:15:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 22:19:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
[16 lines snipped]
01/13/15 23:25:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 23:29:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 23:33:29 v1.34.3, nfs: commencing msieve filtering
01/13/15 23:34:19 v1.34.3, nfs: commencing msieve linear algebra
01/13/15 23:36:17 v1.34.3, nfs: commencing msieve sqrt
01/13/15 23:36:36 v1.34.3, prp106 = 2099243660382957063419946452258994803262944731041018431628889727189677302000555967633483009605748693749013
01/13/15 23:36:36 v1.34.3, prp39 = 245366762689625562879022493369201206519
01/13/15 23:36:36 v1.34.3, NFS elapsed time = 4882.9139 seconds.
01/13/15 23:36:36 v1.34.3, 
01/13/15 23:36:36 v1.34.3, 
01/13/15 23:36:36 v1.34.3, Total factoring time = 4882.9148 seconds
--
Tue Jan 13 23:33:29 2015  
Tue Jan 13 23:33:29 2015  commencing relation filtering
Tue Jan 13 23:33:29 2015  estimated available RAM is 15987.3 MB
Tue Jan 13 23:33:29 2015  commencing duplicate removal, pass 1
Tue Jan 13 23:33:42 2015  found 592962 hash collisions in 4696047 relations
Tue Jan 13 23:33:47 2015  added 186328 free relations
Tue Jan 13 23:33:47 2015  commencing duplicate removal, pass 2
Tue Jan 13 23:33:51 2015  found 389568 duplicates and 4492807 unique relations
Tue Jan 13 23:33:51 2015  memory use: 20.6 MB
Tue Jan 13 23:33:51 2015  reading ideals above 100000
Tue Jan 13 23:33:51 2015  commencing singleton removal, initial pass
Tue Jan 13 23:34:09 2015  memory use: 94.1 MB
Tue Jan 13 23:34:09 2015  reading all ideals from disk
Tue Jan 13 23:34:09 2015  memory use: 149.1 MB
Tue Jan 13 23:34:09 2015  keeping 4825366 ideals with weight <= 200, target excess is 24829
Tue Jan 13 23:34:09 2015  commencing in-memory singleton removal
Tue Jan 13 23:34:09 2015  begin with 4492807 relations and 4825366 unique ideals
Tue Jan 13 23:34:10 2015  reduce to 1983742 relations and 1705073 ideals in 12 passes
Tue Jan 13 23:34:10 2015  max relations containing the same ideal: 114
Tue Jan 13 23:34:11 2015  removing 483117 relations and 358183 ideals in 124934 cliques
Tue Jan 13 23:34:11 2015  commencing in-memory singleton removal
Tue Jan 13 23:34:11 2015  begin with 1500625 relations and 1705073 unique ideals
Tue Jan 13 23:34:11 2015  reduce to 1414635 relations and 1254356 ideals in 8 passes
Tue Jan 13 23:34:11 2015  max relations containing the same ideal: 92
Tue Jan 13 23:34:12 2015  removing 400290 relations and 275356 ideals in 124934 cliques
Tue Jan 13 23:34:12 2015  commencing in-memory singleton removal
Tue Jan 13 23:34:12 2015  begin with 1014345 relations and 1254356 unique ideals
Tue Jan 13 23:34:12 2015  reduce to 936887 relations and 894807 ideals in 8 passes
Tue Jan 13 23:34:12 2015  max relations containing the same ideal: 67
Tue Jan 13 23:34:12 2015  removing 69446 relations and 56168 ideals in 13278 cliques
Tue Jan 13 23:34:12 2015  commencing in-memory singleton removal
Tue Jan 13 23:34:12 2015  begin with 867441 relations and 894807 unique ideals
Tue Jan 13 23:34:12 2015  reduce to 863852 relations and 835005 ideals in 6 passes
Tue Jan 13 23:34:12 2015  max relations containing the same ideal: 63
Tue Jan 13 23:34:12 2015  relations with 0 large ideals: 591
Tue Jan 13 23:34:12 2015  relations with 1 large ideals: 140
Tue Jan 13 23:34:12 2015  relations with 2 large ideals: 2218
Tue Jan 13 23:34:12 2015  relations with 3 large ideals: 17843
Tue Jan 13 23:34:12 2015  relations with 4 large ideals: 74349
Tue Jan 13 23:34:12 2015  relations with 5 large ideals: 175602
Tue Jan 13 23:34:12 2015  relations with 6 large ideals: 254339
Tue Jan 13 23:34:12 2015  relations with 7+ large ideals: 338770
Tue Jan 13 23:34:12 2015  commencing 2-way merge
Tue Jan 13 23:34:12 2015  reduce to 536343 relation sets and 507496 unique ideals
Tue Jan 13 23:34:12 2015  commencing full merge
Tue Jan 13 23:34:17 2015  memory use: 67.1 MB
Tue Jan 13 23:34:17 2015  found 273417 cycles, need 269696
Tue Jan 13 23:34:17 2015  weight of 269696 cycles is about 19259634 (71.41/cycle)
Tue Jan 13 23:34:17 2015  distribution of cycle lengths:
Tue Jan 13 23:34:17 2015  1 relations: 24111
Tue Jan 13 23:34:17 2015  2 relations: 25903
Tue Jan 13 23:34:17 2015  3 relations: 27963
Tue Jan 13 23:34:17 2015  4 relations: 27538
Tue Jan 13 23:34:17 2015  5 relations: 26955
Tue Jan 13 23:34:17 2015  6 relations: 25250
Tue Jan 13 23:34:17 2015  7 relations: 22635
Tue Jan 13 23:34:17 2015  8 relations: 19495
Tue Jan 13 23:34:17 2015  9 relations: 16653
Tue Jan 13 23:34:17 2015  10+ relations: 53193
Tue Jan 13 23:34:17 2015  heaviest cycle: 21 relations
Tue Jan 13 23:34:17 2015  commencing cycle optimization
Tue Jan 13 23:34:18 2015  start with 1674308 relations
Tue Jan 13 23:34:19 2015  pruned 50490 relations
Tue Jan 13 23:34:19 2015  memory use: 52.6 MB
Tue Jan 13 23:34:19 2015  distribution of cycle lengths:
Tue Jan 13 23:34:19 2015  1 relations: 24111
Tue Jan 13 23:34:19 2015  2 relations: 26486
Tue Jan 13 23:34:19 2015  3 relations: 28978
Tue Jan 13 23:34:19 2015  4 relations: 28288
Tue Jan 13 23:34:19 2015  5 relations: 28065
Tue Jan 13 23:34:19 2015  6 relations: 25963
Tue Jan 13 23:34:19 2015  7 relations: 23161
Tue Jan 13 23:34:19 2015  8 relations: 19912
Tue Jan 13 23:34:19 2015  9 relations: 16803
Tue Jan 13 23:34:19 2015  10+ relations: 47929
Tue Jan 13 23:34:19 2015  heaviest cycle: 21 relations
Tue Jan 13 23:34:19 2015  RelProcTime: 50
Tue Jan 13 23:34:19 2015  
Tue Jan 13 23:34:19 2015  commencing linear algebra
Tue Jan 13 23:34:19 2015  read 269696 cycles
Tue Jan 13 23:34:19 2015  cycles contain 846672 unique relations
Tue Jan 13 23:34:24 2015  read 846672 relations
Tue Jan 13 23:34:24 2015  using 20 quadratic characters above 67108722
Tue Jan 13 23:34:27 2015  building initial matrix
Tue Jan 13 23:34:31 2015  memory use: 103.1 MB
Tue Jan 13 23:34:31 2015  read 269696 cycles
Tue Jan 13 23:34:31 2015  matrix is 269519 x 269696 (81.2 MB) with weight 24118392 (89.43/col)
Tue Jan 13 23:34:31 2015  sparse part has weight 18329059 (67.96/col)
Tue Jan 13 23:34:32 2015  filtering completed in 2 passes
Tue Jan 13 23:34:32 2015  matrix is 269465 x 269642 (81.2 MB) with weight 24116706 (89.44/col)
Tue Jan 13 23:34:32 2015  sparse part has weight 18328523 (67.97/col)
Tue Jan 13 23:34:32 2015  matrix starts at (0, 0)
Tue Jan 13 23:34:32 2015  matrix is 269465 x 269642 (81.2 MB) with weight 24116706 (89.44/col)
Tue Jan 13 23:34:32 2015  sparse part has weight 18328523 (67.97/col)
Tue Jan 13 23:34:32 2015  saving the first 48 matrix rows for later
Tue Jan 13 23:34:32 2015  matrix includes 64 packed rows
Tue Jan 13 23:34:32 2015  matrix is 269417 x 269642 (76.3 MB) with weight 19019956 (70.54/col)
Tue Jan 13 23:34:32 2015  sparse part has weight 17294668 (64.14/col)
Tue Jan 13 23:34:32 2015  using block size 65536 for processor cache size 8192 kB
Tue Jan 13 23:34:33 2015  commencing Lanczos iteration (8 threads)
Tue Jan 13 23:34:33 2015  memory use: 73.0 MB
Tue Jan 13 23:34:38 2015  linear algebra at 4.5%, ETA 0h 1m
Tue Jan 13 23:36:17 2015  lanczos halted after 4262 iterations (dim = 269415)
Tue Jan 13 23:36:17 2015  recovered 35 nontrivial dependencies
Tue Jan 13 23:36:17 2015  BLanczosTime: 118
Tue Jan 13 23:36:17 2015  
Tue Jan 13 23:36:17 2015  commencing square root phase
Tue Jan 13 23:36:17 2015  reading relations for dependency 1
Tue Jan 13 23:36:17 2015  read 135138 cycles
Tue Jan 13 23:36:17 2015  cycles contain 424476 unique relations
Tue Jan 13 23:36:21 2015  read 424476 relations
Tue Jan 13 23:36:22 2015  multiplying 424476 relations
Tue Jan 13 23:36:28 2015  multiply complete, coefficients have about 11.52 million bits
Tue Jan 13 23:36:28 2015  initial square root is modulo 4171481
Tue Jan 13 23:36:36 2015  sqrtTime: 19
--
n: 515084621044885945548197203826342899190581309786607799852832965415746872700515084621044885945548197203826342899190581309786607799852832965415747
m: 100000000000000000000000000000
deg: 5
c5: 70
c0: 173
skew: 1.20
# Murphy_E = 1.445e-09
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:55:48 UTC 2015 年 1 月 9 日 (金) 0 時 55 分 48 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:08:33 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 33 秒 (日本時間)

7×10152+1739

c105

name 名前Cyp
date 日付January 9, 2015 10:38:15 UTC 2015 年 1 月 9 日 (金) 19 時 38 分 15 秒 (日本時間)
composite number 合成数
140018079796126328058885569499571849436587056492333544456108193774262700257157178925602365781615489503027<105>
prime factors 素因数
48363096077731871128565179724965788835213<41>
2895143015060107903626922946125726416863055382812191579281772479<64>
factorization results 素因数分解の結果
01/09/15 10:46:57 v1.34.3, 
01/09/15 10:46:57 v1.34.3, ****************************
01/09/15 10:46:57 v1.34.3, Starting factorization of 140018079796126328058885569499571849436587056492333544456108193774262700257157178925602365781615489503027
01/09/15 10:46:57 v1.34.3, using pretesting plan: none
01/09/15 10:46:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 10:46:57 v1.34.3, ****************************
01/09/15 10:46:57 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C105
01/09/15 10:46:57 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C105
01/09/15 10:46:57 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C105
01/09/15 10:46:57 v1.34.3, final ECM pretested depth: 0.00
01/09/15 10:46:57 v1.34.3, scheduler: switching to sieve method
01/09/15 10:46:57 v1.34.3, nfs: commencing nfs on c105: 140018079796126328058885569499571849436587056492333544456108193774262700257157178925602365781615489503027
01/09/15 10:46:57 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 10:46:57 v1.34.3, nfs: setting deadline of 216 seconds
01/09/15 10:51:02 v1.34.3, nfs: completed 64 ranges of size 250 in 245.6760 seconds
01/09/15 10:51:02 v1.34.3, nfs: best poly = # norm 2.386437e-14 alpha -5.458466 e 5.781e-09 rroots 2
01/09/15 10:51:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 10:52:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
[21 lines snipped]
01/09/15 11:20:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 11:21:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 11:22:51 v1.34.3, nfs: commencing msieve filtering
01/09/15 11:23:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 11:24:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 11:26:07 v1.34.3, nfs: commencing msieve filtering
01/09/15 11:26:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 11:28:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 11:29:27 v1.34.3, nfs: commencing msieve filtering
01/09/15 11:30:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 11:31:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 11:32:55 v1.34.3, nfs: commencing msieve filtering
01/09/15 11:33:56 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 11:37:07 v1.34.3, nfs: commencing msieve sqrt
01/09/15 11:38:14 v1.34.3, prp41 = 48363096077731871128565179724965788835213
01/09/15 11:38:14 v1.34.3, prp64 = 2895143015060107903626922946125726416863055382812191579281772479
01/09/15 11:38:14 v1.34.3, NFS elapsed time = 3077.4810 seconds.
01/09/15 11:38:14 v1.34.3, 
01/09/15 11:38:14 v1.34.3, 
01/09/15 11:38:14 v1.34.3, Total factoring time = 3077.5026 seconds
--
Fri Jan  9 11:22:51 2015  
Fri Jan  9 11:22:51 2015  commencing relation filtering
Fri Jan  9 11:22:51 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 11:22:51 2015  commencing duplicate removal, pass 1
Fri Jan  9 11:23:04 2015  found 443875 hash collisions in 4472114 relations
Fri Jan  9 11:23:08 2015  added 158578 free relations
Fri Jan  9 11:23:08 2015  commencing duplicate removal, pass 2
Fri Jan  9 11:23:11 2015  found 223851 duplicates and 4406841 unique relations
Fri Jan  9 11:23:11 2015  memory use: 20.6 MB
Fri Jan  9 11:23:11 2015  reading ideals above 100000
Fri Jan  9 11:23:11 2015  commencing singleton removal, initial pass
Fri Jan  9 11:23:29 2015  memory use: 172.2 MB
Fri Jan  9 11:23:29 2015  reading all ideals from disk
Fri Jan  9 11:23:29 2015  memory use: 141.6 MB
Fri Jan  9 11:23:29 2015  keeping 5447708 ideals with weight <= 200, target excess is 21058
Fri Jan  9 11:23:29 2015  commencing in-memory singleton removal
Fri Jan  9 11:23:29 2015  begin with 4406841 relations and 5447708 unique ideals
Fri Jan  9 11:23:31 2015  reduce to 392 relations and 1 ideals in 64 passes
Fri Jan  9 11:23:31 2015  max relations containing the same ideal: 2
Fri Jan  9 11:26:07 2015  
Fri Jan  9 11:26:07 2015  commencing relation filtering
Fri Jan  9 11:26:07 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 11:26:07 2015  commencing duplicate removal, pass 1
Fri Jan  9 11:26:22 2015  found 527353 hash collisions in 4994027 relations
Fri Jan  9 11:26:25 2015  added 1272 free relations
Fri Jan  9 11:26:25 2015  commencing duplicate removal, pass 2
Fri Jan  9 11:26:29 2015  found 257454 duplicates and 4737845 unique relations
Fri Jan  9 11:26:29 2015  memory use: 20.6 MB
Fri Jan  9 11:26:29 2015  reading ideals above 100000
Fri Jan  9 11:26:29 2015  commencing singleton removal, initial pass
Fri Jan  9 11:26:48 2015  memory use: 172.2 MB
Fri Jan  9 11:26:48 2015  reading all ideals from disk
Fri Jan  9 11:26:48 2015  memory use: 152.4 MB
Fri Jan  9 11:26:48 2015  keeping 5607527 ideals with weight <= 200, target excess is 22378
Fri Jan  9 11:26:48 2015  commencing in-memory singleton removal
Fri Jan  9 11:26:48 2015  begin with 4737845 relations and 5607527 unique ideals
Fri Jan  9 11:26:50 2015  reduce to 1182857 relations and 1260184 ideals in 27 passes
Fri Jan  9 11:26:50 2015  max relations containing the same ideal: 77
Fri Jan  9 11:29:27 2015  
Fri Jan  9 11:29:27 2015  commencing relation filtering
Fri Jan  9 11:29:27 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 11:29:27 2015  commencing duplicate removal, pass 1
Fri Jan  9 11:29:43 2015  found 599110 hash collisions in 5366244 relations
Fri Jan  9 11:29:46 2015  added 1085 free relations
Fri Jan  9 11:29:46 2015  commencing duplicate removal, pass 2
Fri Jan  9 11:29:50 2015  found 294046 duplicates and 5073283 unique relations
Fri Jan  9 11:29:50 2015  memory use: 20.6 MB
Fri Jan  9 11:29:50 2015  reading ideals above 100000
Fri Jan  9 11:29:50 2015  commencing singleton removal, initial pass
Fri Jan  9 11:30:10 2015  memory use: 172.2 MB
Fri Jan  9 11:30:10 2015  reading all ideals from disk
Fri Jan  9 11:30:10 2015  memory use: 163.3 MB
Fri Jan  9 11:30:10 2015  keeping 5756109 ideals with weight <= 200, target excess is 23942
Fri Jan  9 11:30:11 2015  commencing in-memory singleton removal
Fri Jan  9 11:30:11 2015  begin with 5073283 relations and 5756109 unique ideals
Fri Jan  9 11:30:12 2015  reduce to 1660220 relations and 1640812 ideals in 21 passes
Fri Jan  9 11:30:12 2015  max relations containing the same ideal: 94
Fri Jan  9 11:32:55 2015  
Fri Jan  9 11:32:55 2015  commencing relation filtering
Fri Jan  9 11:32:55 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 11:32:55 2015  commencing duplicate removal, pass 1
Fri Jan  9 11:33:12 2015  found 672474 hash collisions in 5729764 relations
Fri Jan  9 11:33:16 2015  added 781 free relations
Fri Jan  9 11:33:16 2015  commencing duplicate removal, pass 2
Fri Jan  9 11:33:20 2015  found 331109 duplicates and 5399436 unique relations
Fri Jan  9 11:33:20 2015  memory use: 20.6 MB
Fri Jan  9 11:33:20 2015  reading ideals above 100000
Fri Jan  9 11:33:20 2015  commencing singleton removal, initial pass
Fri Jan  9 11:33:42 2015  memory use: 172.2 MB
Fri Jan  9 11:33:42 2015  reading all ideals from disk
Fri Jan  9 11:33:42 2015  memory use: 173.8 MB
Fri Jan  9 11:33:42 2015  keeping 5888206 ideals with weight <= 200, target excess is 25503
Fri Jan  9 11:33:42 2015  commencing in-memory singleton removal
Fri Jan  9 11:33:42 2015  begin with 5399436 relations and 5888206 unique ideals
Fri Jan  9 11:33:44 2015  reduce to 2108897 relations and 1971842 ideals in 19 passes
Fri Jan  9 11:33:44 2015  max relations containing the same ideal: 111
Fri Jan  9 11:33:44 2015  removing 403964 relations and 350228 ideals in 53736 cliques
Fri Jan  9 11:33:45 2015  commencing in-memory singleton removal
Fri Jan  9 11:33:45 2015  begin with 1704933 relations and 1971842 unique ideals
Fri Jan  9 11:33:45 2015  reduce to 1638379 relations and 1552786 ideals in 10 passes
Fri Jan  9 11:33:45 2015  max relations containing the same ideal: 93
Fri Jan  9 11:33:45 2015  removing 302808 relations and 249072 ideals in 53736 cliques
Fri Jan  9 11:33:45 2015  commencing in-memory singleton removal
Fri Jan  9 11:33:46 2015  begin with 1335571 relations and 1552786 unique ideals
Fri Jan  9 11:33:46 2015  reduce to 1285918 relations and 1252311 ideals in 11 passes
Fri Jan  9 11:33:46 2015  max relations containing the same ideal: 79
Fri Jan  9 11:33:46 2015  relations with 0 large ideals: 464
Fri Jan  9 11:33:46 2015  relations with 1 large ideals: 214
Fri Jan  9 11:33:46 2015  relations with 2 large ideals: 3533
Fri Jan  9 11:33:46 2015  relations with 3 large ideals: 28540
Fri Jan  9 11:33:46 2015  relations with 4 large ideals: 122335
Fri Jan  9 11:33:46 2015  relations with 5 large ideals: 305151
Fri Jan  9 11:33:46 2015  relations with 6 large ideals: 392299
Fri Jan  9 11:33:46 2015  relations with 7+ large ideals: 433382
Fri Jan  9 11:33:46 2015  commencing 2-way merge
Fri Jan  9 11:33:47 2015  reduce to 732759 relation sets and 699154 unique ideals
Fri Jan  9 11:33:47 2015  ignored 2 oversize relation sets
Fri Jan  9 11:33:47 2015  commencing full merge
Fri Jan  9 11:33:53 2015  memory use: 79.0 MB
Fri Jan  9 11:33:53 2015  found 347380 cycles, need 341354
Fri Jan  9 11:33:53 2015  weight of 341354 cycles is about 24109099 (70.63/cycle)
Fri Jan  9 11:33:53 2015  distribution of cycle lengths:
Fri Jan  9 11:33:53 2015  1 relations: 35895
Fri Jan  9 11:33:53 2015  2 relations: 34899
Fri Jan  9 11:33:53 2015  3 relations: 34542
Fri Jan  9 11:33:53 2015  4 relations: 31802
Fri Jan  9 11:33:53 2015  5 relations: 28910
Fri Jan  9 11:33:53 2015  6 relations: 26298
Fri Jan  9 11:33:53 2015  7 relations: 23159
Fri Jan  9 11:33:53 2015  8 relations: 20977
Fri Jan  9 11:33:53 2015  9 relations: 18461
Fri Jan  9 11:33:53 2015  10+ relations: 86411
Fri Jan  9 11:33:53 2015  heaviest cycle: 24 relations
Fri Jan  9 11:33:53 2015  commencing cycle optimization
Fri Jan  9 11:33:54 2015  start with 2289977 relations
Fri Jan  9 11:33:56 2015  pruned 53284 relations
Fri Jan  9 11:33:56 2015  memory use: 74.1 MB
Fri Jan  9 11:33:56 2015  distribution of cycle lengths:
Fri Jan  9 11:33:56 2015  1 relations: 35895
Fri Jan  9 11:33:56 2015  2 relations: 35605
Fri Jan  9 11:33:56 2015  3 relations: 35627
Fri Jan  9 11:33:56 2015  4 relations: 32514
Fri Jan  9 11:33:56 2015  5 relations: 29573
Fri Jan  9 11:33:56 2015  6 relations: 26747
Fri Jan  9 11:33:56 2015  7 relations: 23599
Fri Jan  9 11:33:56 2015  8 relations: 21032
Fri Jan  9 11:33:56 2015  9 relations: 18671
Fri Jan  9 11:33:56 2015  10+ relations: 82091
Fri Jan  9 11:33:56 2015  heaviest cycle: 24 relations
Fri Jan  9 11:33:56 2015  RelProcTime: 61
Fri Jan  9 11:33:56 2015  
Fri Jan  9 11:33:56 2015  commencing linear algebra
Fri Jan  9 11:33:56 2015  read 341354 cycles
Fri Jan  9 11:33:56 2015  cycles contain 1224042 unique relations
Fri Jan  9 11:34:02 2015  read 1224042 relations
Fri Jan  9 11:34:03 2015  using 20 quadratic characters above 67106822
Fri Jan  9 11:34:07 2015  building initial matrix
Fri Jan  9 11:34:13 2015  memory use: 153.0 MB
Fri Jan  9 11:34:13 2015  read 341354 cycles
Fri Jan  9 11:34:13 2015  matrix is 341179 x 341354 (102.3 MB) with weight 32878049 (96.32/col)
Fri Jan  9 11:34:13 2015  sparse part has weight 23067299 (67.58/col)
Fri Jan  9 11:34:14 2015  filtering completed in 2 passes
Fri Jan  9 11:34:14 2015  matrix is 340376 x 340553 (102.2 MB) with weight 32841350 (96.44/col)
Fri Jan  9 11:34:14 2015  sparse part has weight 23055272 (67.70/col)
Fri Jan  9 11:34:15 2015  matrix starts at (0, 0)
Fri Jan  9 11:34:15 2015  matrix is 340376 x 340553 (102.2 MB) with weight 32841350 (96.44/col)
Fri Jan  9 11:34:15 2015  sparse part has weight 23055272 (67.70/col)
Fri Jan  9 11:34:15 2015  saving the first 48 matrix rows for later
Fri Jan  9 11:34:15 2015  matrix includes 64 packed rows
Fri Jan  9 11:34:15 2015  matrix is 340328 x 340553 (98.8 MB) with weight 25926236 (76.13/col)
Fri Jan  9 11:34:15 2015  sparse part has weight 22484373 (66.02/col)
Fri Jan  9 11:34:15 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 11:34:16 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 11:34:16 2015  memory use: 93.6 MB
Fri Jan  9 11:34:22 2015  linear algebra at 3.6%, ETA 0h 2m
Fri Jan  9 11:37:07 2015  lanczos halted after 5383 iterations (dim = 340324)
Fri Jan  9 11:37:07 2015  recovered 32 nontrivial dependencies
Fri Jan  9 11:37:07 2015  BLanczosTime: 191
Fri Jan  9 11:37:07 2015  
Fri Jan  9 11:37:07 2015  commencing square root phase
Fri Jan  9 11:37:07 2015  reading relations for dependency 1
Fri Jan  9 11:37:07 2015  read 169503 cycles
Fri Jan  9 11:37:07 2015  cycles contain 610022 unique relations
Fri Jan  9 11:37:12 2015  read 610022 relations
Fri Jan  9 11:37:13 2015  multiplying 610022 relations
Fri Jan  9 11:37:25 2015  multiply complete, coefficients have about 26.27 million bits
Fri Jan  9 11:37:25 2015  initial square root is modulo 35015609
Fri Jan  9 11:37:41 2015  GCD is N, no factor found
Fri Jan  9 11:37:41 2015  reading relations for dependency 2
Fri Jan  9 11:37:41 2015  read 170098 cycles
Fri Jan  9 11:37:42 2015  cycles contain 611866 unique relations
Fri Jan  9 11:37:46 2015  read 611866 relations
Fri Jan  9 11:37:47 2015  multiplying 611866 relations
Fri Jan  9 11:37:59 2015  multiply complete, coefficients have about 26.35 million bits
Fri Jan  9 11:37:59 2015  initial square root is modulo 36871201
Fri Jan  9 11:38:14 2015  sqrtTime: 67
--
n: 140018079796126328058885569499571849436587056492333544456108193774262700257157178925602365781615489503027
skew: 3356651.96
c0: -151701912722882675126307666038
c1: 118698187987917140768059
c2: -21356925099494026
c3: 8509942484
c4: 4872
Y0: -13020244077370252123324395
Y1: 5758068147007
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10153+1739

c138

name 名前Serge Batalov
date 日付January 9, 2015 03:54:49 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 49 秒 (日本時間)
composite number 合成数
520377574065432901697984653739322499422703882969672467745448125775207052226401811454808921390961609254419600729426660061546772351412495039<138>
prime factors 素因数
4968585402965344582298928970403<31>
composite cofactor 合成数の残り
104733547249658191399157966184080513034550260152180497182521017458108896324431403283617921686826847211746613<108>
factorization results 素因数分解の結果
Input number is 520377574065432901697984653739322499422703882969672467745448125775207052226401811454808921390961609254419600729426660061546772351412495039 (138 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=728039289
Step 1 took 9132ms
Step 2 took 7488ms
********** Factor found in step 2: 4968585402965344582298928970403
Found probable prime factor of 31 digits: 4968585402965344582298928970403
Composite cofactor 104733547249658191399157966184080513034550260152180497182521017458108896324431403283617921686826847211746613 has 108 digits

c108

name 名前Cyp
date 日付January 10, 2015 03:06:51 UTC 2015 年 1 月 10 日 (土) 12 時 6 分 51 秒 (日本時間)
composite number 合成数
104733547249658191399157966184080513034550260152180497182521017458108896324431403283617921686826847211746613<108>
prime factors 素因数
80505444512026516322229006966148370815109<41>
1300949865993377585802746189701400351160505513275179839628347580657<67>
factorization results 素因数分解の結果
01/10/15 02:57:05 v1.34.3, 
01/10/15 02:57:05 v1.34.3, ****************************
01/10/15 02:57:05 v1.34.3, Starting factorization of 104733547249658191399157966184080513034550260152180497182521017458108896324431403283617921686826847211746613
01/10/15 02:57:05 v1.34.3, using pretesting plan: none
01/10/15 02:57:05 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/10/15 02:57:05 v1.34.3, ****************************
01/10/15 02:57:05 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C108
01/10/15 02:57:05 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C108
01/10/15 02:57:05 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C108
01/10/15 02:57:05 v1.34.3, final ECM pretested depth: 0.00
01/10/15 02:57:05 v1.34.3, scheduler: switching to sieve method
01/10/15 02:57:05 v1.34.3, nfs: commencing nfs on c108: 104733547249658191399157966184080513034550260152180497182521017458108896324431403283617921686826847211746613
01/10/15 02:57:05 v1.34.3, nfs: commencing poly selection with 8 threads
01/10/15 02:57:05 v1.34.3, nfs: setting deadline of 330 seconds
01/10/15 03:03:11 v1.34.3, nfs: completed 65 ranges of size 250 in 366.4977 seconds
01/10/15 03:03:11 v1.34.3, nfs: best poly = # norm 1.069238e-14 alpha -5.916995 e 4.074e-09 rroots 2
01/10/15 03:03:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 03:07:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
[6 lines snipped]
01/10/15 03:41:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 03:45:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 03:50:52 v1.34.3, nfs: commencing msieve filtering
01/10/15 03:51:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 03:56:22 v1.34.3, nfs: commencing msieve filtering
01/10/15 03:57:24 v1.34.3, nfs: commencing msieve linear algebra
01/10/15 04:03:28 v1.34.3, nfs: commencing msieve sqrt
01/10/15 04:06:50 v1.34.3, prp41 = 80505444512026516322229006966148370815109
01/10/15 04:06:50 v1.34.3, prp67 = 1300949865993377585802746189701400351160505513275179839628347580657
01/10/15 04:06:50 v1.34.3, NFS elapsed time = 4185.4418 seconds.
01/10/15 04:06:50 v1.34.3, 
01/10/15 04:06:50 v1.34.3, 
01/10/15 04:06:50 v1.34.3, Total factoring time = 4185.4641 seconds
--
Sat Jan 10 03:50:52 2015  
Sat Jan 10 03:50:52 2015  commencing relation filtering
Sat Jan 10 03:50:52 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 03:50:52 2015  commencing duplicate removal, pass 1
Sat Jan 10 03:51:08 2015  found 433228 hash collisions in 4862729 relations
Sat Jan 10 03:51:11 2015  added 160922 free relations
Sat Jan 10 03:51:11 2015  commencing duplicate removal, pass 2
Sat Jan 10 03:51:15 2015  found 150424 duplicates and 4873227 unique relations
Sat Jan 10 03:51:15 2015  memory use: 20.6 MB
Sat Jan 10 03:51:15 2015  reading ideals above 100000
Sat Jan 10 03:51:15 2015  commencing singleton removal, initial pass
Sat Jan 10 03:51:35 2015  memory use: 172.2 MB
Sat Jan 10 03:51:35 2015  reading all ideals from disk
Sat Jan 10 03:51:35 2015  memory use: 161.5 MB
Sat Jan 10 03:51:35 2015  keeping 5727589 ideals with weight <= 200, target excess is 45085
Sat Jan 10 03:51:35 2015  commencing in-memory singleton removal
Sat Jan 10 03:51:36 2015  begin with 4873227 relations and 5727589 unique ideals
Sat Jan 10 03:51:37 2015  reduce to 1242897 relations and 1325117 ideals in 34 passes
Sat Jan 10 03:51:37 2015  max relations containing the same ideal: 77
Sat Jan 10 03:56:22 2015  
Sat Jan 10 03:56:22 2015  commencing relation filtering
Sat Jan 10 03:56:22 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 03:56:22 2015  commencing duplicate removal, pass 1
Sat Jan 10 03:56:39 2015  found 536416 hash collisions in 5509969 relations
Sat Jan 10 03:56:42 2015  added 1060 free relations
Sat Jan 10 03:56:42 2015  commencing duplicate removal, pass 2
Sat Jan 10 03:56:46 2015  found 179912 duplicates and 5331117 unique relations
Sat Jan 10 03:56:46 2015  memory use: 20.6 MB
Sat Jan 10 03:56:46 2015  reading ideals above 100000
Sat Jan 10 03:56:46 2015  commencing singleton removal, initial pass
Sat Jan 10 03:57:08 2015  memory use: 172.2 MB
Sat Jan 10 03:57:08 2015  reading all ideals from disk
Sat Jan 10 03:57:09 2015  memory use: 176.8 MB
Sat Jan 10 03:57:09 2015  keeping 5914593 ideals with weight <= 200, target excess is 49884
Sat Jan 10 03:57:09 2015  commencing in-memory singleton removal
Sat Jan 10 03:57:09 2015  begin with 5331117 relations and 5914593 unique ideals
Sat Jan 10 03:57:11 2015  reduce to 1938237 relations and 1873064 ideals in 19 passes
Sat Jan 10 03:57:11 2015  max relations containing the same ideal: 100
Sat Jan 10 03:57:11 2015  relations with 0 large ideals: 635
Sat Jan 10 03:57:11 2015  relations with 1 large ideals: 3638
Sat Jan 10 03:57:11 2015  relations with 2 large ideals: 26493
Sat Jan 10 03:57:11 2015  relations with 3 large ideals: 129099
Sat Jan 10 03:57:11 2015  relations with 4 large ideals: 359441
Sat Jan 10 03:57:11 2015  relations with 5 large ideals: 590242
Sat Jan 10 03:57:11 2015  relations with 6 large ideals: 505307
Sat Jan 10 03:57:11 2015  relations with 7+ large ideals: 323382
Sat Jan 10 03:57:11 2015  commencing 2-way merge
Sat Jan 10 03:57:12 2015  reduce to 1067599 relation sets and 1002843 unique ideals
Sat Jan 10 03:57:12 2015  ignored 418 oversize relation sets
Sat Jan 10 03:57:12 2015  commencing full merge
Sat Jan 10 03:57:20 2015  memory use: 94.5 MB
Sat Jan 10 03:57:20 2015  found 476478 cycles, need 473043
Sat Jan 10 03:57:20 2015  weight of 473043 cycles is about 33348607 (70.50/cycle)
Sat Jan 10 03:57:20 2015  distribution of cycle lengths:
Sat Jan 10 03:57:20 2015  1 relations: 55297
Sat Jan 10 03:57:20 2015  2 relations: 56244
Sat Jan 10 03:57:20 2015  3 relations: 54543
Sat Jan 10 03:57:20 2015  4 relations: 48184
Sat Jan 10 03:57:20 2015  5 relations: 42262
Sat Jan 10 03:57:20 2015  6 relations: 35187
Sat Jan 10 03:57:20 2015  7 relations: 30326
Sat Jan 10 03:57:20 2015  8 relations: 25558
Sat Jan 10 03:57:20 2015  9 relations: 21315
Sat Jan 10 03:57:20 2015  10+ relations: 104127
Sat Jan 10 03:57:20 2015  heaviest cycle: 28 relations
Sat Jan 10 03:57:20 2015  commencing cycle optimization
Sat Jan 10 03:57:21 2015  start with 3057509 relations
Sat Jan 10 03:57:23 2015  pruned 65788 relations
Sat Jan 10 03:57:23 2015  memory use: 102.3 MB
Sat Jan 10 03:57:23 2015  distribution of cycle lengths:
Sat Jan 10 03:57:23 2015  1 relations: 55297
Sat Jan 10 03:57:23 2015  2 relations: 57487
Sat Jan 10 03:57:23 2015  3 relations: 56356
Sat Jan 10 03:57:23 2015  4 relations: 49145
Sat Jan 10 03:57:23 2015  5 relations: 42974
Sat Jan 10 03:57:23 2015  6 relations: 35495
Sat Jan 10 03:57:23 2015  7 relations: 30308
Sat Jan 10 03:57:23 2015  8 relations: 25401
Sat Jan 10 03:57:23 2015  9 relations: 20975
Sat Jan 10 03:57:23 2015  10+ relations: 99605
Sat Jan 10 03:57:23 2015  heaviest cycle: 28 relations
Sat Jan 10 03:57:24 2015  RelProcTime: 62
Sat Jan 10 03:57:24 2015  
Sat Jan 10 03:57:24 2015  commencing linear algebra
Sat Jan 10 03:57:24 2015  read 473043 cycles
Sat Jan 10 03:57:24 2015  cycles contain 1726291 unique relations
Sat Jan 10 03:57:32 2015  read 1726291 relations
Sat Jan 10 03:57:33 2015  using 20 quadratic characters above 67108758
Sat Jan 10 03:57:38 2015  building initial matrix
Sat Jan 10 03:57:46 2015  memory use: 211.1 MB
Sat Jan 10 03:57:46 2015  read 473043 cycles
Sat Jan 10 03:57:46 2015  matrix is 472830 x 473043 (142.6 MB) with weight 44903609 (94.93/col)
Sat Jan 10 03:57:46 2015  sparse part has weight 32186555 (68.04/col)
Sat Jan 10 03:57:49 2015  filtering completed in 3 passes
Sat Jan 10 03:57:49 2015  matrix is 470391 x 470591 (142.2 MB) with weight 44751386 (95.10/col)
Sat Jan 10 03:57:49 2015  sparse part has weight 32112846 (68.24/col)
Sat Jan 10 03:57:50 2015  matrix starts at (0, 0)
Sat Jan 10 03:57:50 2015  matrix is 470391 x 470591 (142.2 MB) with weight 44751386 (95.10/col)
Sat Jan 10 03:57:50 2015  sparse part has weight 32112846 (68.24/col)
Sat Jan 10 03:57:50 2015  saving the first 48 matrix rows for later
Sat Jan 10 03:57:50 2015  matrix includes 64 packed rows
Sat Jan 10 03:57:50 2015  matrix is 470343 x 470591 (137.1 MB) with weight 35630984 (75.72/col)
Sat Jan 10 03:57:50 2015  sparse part has weight 31224693 (66.35/col)
Sat Jan 10 03:57:50 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 10 03:57:51 2015  commencing Lanczos iteration (8 threads)
Sat Jan 10 03:57:51 2015  memory use: 130.4 MB
Sat Jan 10 03:58:00 2015  linear algebra at 2.6%, ETA 0h 5m
Sat Jan 10 04:03:28 2015  lanczos halted after 7439 iterations (dim = 470343)
Sat Jan 10 04:03:28 2015  recovered 32 nontrivial dependencies
Sat Jan 10 04:03:28 2015  BLanczosTime: 364
Sat Jan 10 04:03:28 2015  
Sat Jan 10 04:03:28 2015  commencing square root phase
Sat Jan 10 04:03:28 2015  reading relations for dependency 1
Sat Jan 10 04:03:29 2015  read 235742 cycles
Sat Jan 10 04:03:29 2015  cycles contain 862740 unique relations
Sat Jan 10 04:03:34 2015  read 862740 relations
Sat Jan 10 04:03:36 2015  multiplying 862740 relations
Sat Jan 10 04:03:54 2015  multiply complete, coefficients have about 38.79 million bits
Sat Jan 10 04:03:54 2015  initial square root is modulo 371029
Sat Jan 10 04:04:21 2015  GCD is N, no factor found
Sat Jan 10 04:04:21 2015  reading relations for dependency 2
Sat Jan 10 04:04:21 2015  read 235076 cycles
Sat Jan 10 04:04:21 2015  cycles contain 860876 unique relations
Sat Jan 10 04:04:27 2015  read 860876 relations
Sat Jan 10 04:04:28 2015  multiplying 860876 relations
Sat Jan 10 04:04:46 2015  multiply complete, coefficients have about 38.70 million bits
Sat Jan 10 04:04:46 2015  initial square root is modulo 360497
Sat Jan 10 04:05:11 2015  GCD is N, no factor found
Sat Jan 10 04:05:11 2015  reading relations for dependency 3
Sat Jan 10 04:05:11 2015  read 235075 cycles
Sat Jan 10 04:05:11 2015  cycles contain 862214 unique relations
Sat Jan 10 04:05:16 2015  read 862214 relations
Sat Jan 10 04:05:18 2015  multiplying 862214 relations
Sat Jan 10 04:05:36 2015  multiply complete, coefficients have about 38.76 million bits
Sat Jan 10 04:05:36 2015  initial square root is modulo 367721
Sat Jan 10 04:06:00 2015  GCD is N, no factor found
Sat Jan 10 04:06:00 2015  reading relations for dependency 4
Sat Jan 10 04:06:00 2015  read 235284 cycles
Sat Jan 10 04:06:00 2015  cycles contain 861330 unique relations
Sat Jan 10 04:06:06 2015  read 861330 relations
Sat Jan 10 04:06:08 2015  multiplying 861330 relations
Sat Jan 10 04:06:25 2015  multiply complete, coefficients have about 38.72 million bits
Sat Jan 10 04:06:25 2015  initial square root is modulo 363173
Sat Jan 10 04:06:50 2015  sqrtTime: 202
--
n: 104733547249658191399157966184080513034550260152180497182521017458108896324431403283617921686826847211746613
skew: 6653134.48
c0: -826809884116586349568163851800
c1: 70726754033709165614150
c2: -243377506808545987
c3: -27422418862
c4: 4560
Y0: -69227856471315181750023899
Y1: 68068740936553
rlim: 2920000
alim: 2920000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:34 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 34 秒 (日本時間)

7×10154+1739

c132

name 名前Cyp
date 日付January 16, 2015 14:23:57 UTC 2015 年 1 月 16 日 (金) 23 時 23 分 57 秒 (日本時間)
composite number 合成数
379912240314340474915514107747773239507437617607339599970185602755135504300810194554834019862048433912205775480993540553694804751457<132>
prime factors 素因数
521588361830837960732517686915822795741837720195171<51>
728375608268564048526292184203960113932691786908137559714409862448054165524425067<81>
factorization results 素因数分解の結果
01/16/15 12:48:00 v1.34.3, 
01/16/15 12:48:00 v1.34.3, ****************************
01/16/15 12:48:00 v1.34.3, Starting factorization of 379912240314340474915514107747773239507437617607339599970185602755135504300810194554834019862048433912205775480993540553694804751457
01/16/15 12:48:00 v1.34.3, using pretesting plan: none
01/16/15 12:48:00 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/16/15 12:48:00 v1.34.3, ****************************
01/16/15 12:48:00 v1.34.3, nfs: commencing nfs on c132: 379912240314340474915514107747773239507437617607339599970185602755135504300810194554834019862048433912205775480993540553694804751457
01/16/15 12:48:00 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/16/15 12:48:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 12:48:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
[156 lines snipped]
01/16/15 15:14:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 15:14:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 15:15:49 v1.34.3, nfs: commencing msieve filtering
01/16/15 15:17:32 v1.34.3, nfs: commencing msieve linear algebra
01/16/15 15:22:44 v1.34.3, nfs: commencing msieve sqrt
01/16/15 15:23:56 v1.34.3, prp51 = 521588361830837960732517686915822795741837720195171
01/16/15 15:23:56 v1.34.3, prp81 = 728375608268564048526292184203960113932691786908137559714409862448054165524425067
01/16/15 15:23:56 v1.34.3, NFS elapsed time = 9356.2250 seconds.
01/16/15 15:23:56 v1.34.3, 
01/16/15 15:23:56 v1.34.3, 
01/16/15 15:23:56 v1.34.3, Total factoring time = 9356.2257 seconds
--
Fri Jan 16 15:15:49 2015  
Fri Jan 16 15:15:49 2015  commencing relation filtering
Fri Jan 16 15:15:49 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 15:15:49 2015  commencing duplicate removal, pass 1
Fri Jan 16 15:16:17 2015  found 1730617 hash collisions in 10067074 relations
Fri Jan 16 15:16:25 2015  added 356930 free relations
Fri Jan 16 15:16:25 2015  commencing duplicate removal, pass 2
Fri Jan 16 15:16:33 2015  found 1432578 duplicates and 8991426 unique relations
Fri Jan 16 15:16:33 2015  memory use: 45.3 MB
Fri Jan 16 15:16:33 2015  reading ideals above 100000
Fri Jan 16 15:16:33 2015  commencing singleton removal, initial pass
Fri Jan 16 15:17:12 2015  memory use: 188.2 MB
Fri Jan 16 15:17:12 2015  reading all ideals from disk
Fri Jan 16 15:17:12 2015  memory use: 304.4 MB
Fri Jan 16 15:17:12 2015  keeping 9499030 ideals with weight <= 200, target excess is 46003
Fri Jan 16 15:17:13 2015  commencing in-memory singleton removal
Fri Jan 16 15:17:13 2015  begin with 8991426 relations and 9499030 unique ideals
Fri Jan 16 15:17:16 2015  reduce to 4041022 relations and 3364659 ideals in 14 passes
Fri Jan 16 15:17:16 2015  max relations containing the same ideal: 119
Fri Jan 16 15:17:17 2015  removing 1120506 relations and 809006 ideals in 311500 cliques
Fri Jan 16 15:17:17 2015  commencing in-memory singleton removal
Fri Jan 16 15:17:17 2015  begin with 2920516 relations and 3364659 unique ideals
Fri Jan 16 15:17:18 2015  reduce to 2701470 relations and 2315538 ideals in 8 passes
Fri Jan 16 15:17:18 2015  max relations containing the same ideal: 94
Fri Jan 16 15:17:18 2015  removing 929316 relations and 617816 ideals in 311500 cliques
Fri Jan 16 15:17:19 2015  commencing in-memory singleton removal
Fri Jan 16 15:17:19 2015  begin with 1772154 relations and 2315538 unique ideals
Fri Jan 16 15:17:19 2015  reduce to 1584580 relations and 1487610 ideals in 8 passes
Fri Jan 16 15:17:19 2015  max relations containing the same ideal: 63
Fri Jan 16 15:17:19 2015  removing 191884 relations and 148278 ideals in 43606 cliques
Fri Jan 16 15:17:19 2015  commencing in-memory singleton removal
Fri Jan 16 15:17:19 2015  begin with 1392696 relations and 1487610 unique ideals
Fri Jan 16 15:17:20 2015  reduce to 1376577 relations and 1322779 ideals in 7 passes
Fri Jan 16 15:17:20 2015  max relations containing the same ideal: 56
Fri Jan 16 15:17:20 2015  relations with 0 large ideals: 1071
Fri Jan 16 15:17:20 2015  relations with 1 large ideals: 716
Fri Jan 16 15:17:20 2015  relations with 2 large ideals: 10291
Fri Jan 16 15:17:20 2015  relations with 3 large ideals: 64272
Fri Jan 16 15:17:20 2015  relations with 4 large ideals: 204512
Fri Jan 16 15:17:20 2015  relations with 5 large ideals: 366788
Fri Jan 16 15:17:20 2015  relations with 6 large ideals: 393828
Fri Jan 16 15:17:20 2015  relations with 7+ large ideals: 335099
Fri Jan 16 15:17:20 2015  commencing 2-way merge
Fri Jan 16 15:17:21 2015  reduce to 866648 relation sets and 812850 unique ideals
Fri Jan 16 15:17:21 2015  commencing full merge
Fri Jan 16 15:17:28 2015  memory use: 103.5 MB
Fri Jan 16 15:17:28 2015  found 450450 cycles, need 443050
Fri Jan 16 15:17:28 2015  weight of 443050 cycles is about 31198517 (70.42/cycle)
Fri Jan 16 15:17:28 2015  distribution of cycle lengths:
Fri Jan 16 15:17:28 2015  1 relations: 30919
Fri Jan 16 15:17:28 2015  2 relations: 42723
Fri Jan 16 15:17:28 2015  3 relations: 48285
Fri Jan 16 15:17:28 2015  4 relations: 47972
Fri Jan 16 15:17:28 2015  5 relations: 46555
Fri Jan 16 15:17:28 2015  6 relations: 43091
Fri Jan 16 15:17:28 2015  7 relations: 38540
Fri Jan 16 15:17:28 2015  8 relations: 33586
Fri Jan 16 15:17:28 2015  9 relations: 28105
Fri Jan 16 15:17:28 2015  10+ relations: 83274
Fri Jan 16 15:17:28 2015  heaviest cycle: 20 relations
Fri Jan 16 15:17:29 2015  commencing cycle optimization
Fri Jan 16 15:17:29 2015  start with 2742916 relations
Fri Jan 16 15:17:31 2015  pruned 81351 relations
Fri Jan 16 15:17:31 2015  memory use: 85.1 MB
Fri Jan 16 15:17:31 2015  distribution of cycle lengths:
Fri Jan 16 15:17:31 2015  1 relations: 30919
Fri Jan 16 15:17:31 2015  2 relations: 43599
Fri Jan 16 15:17:31 2015  3 relations: 50080
Fri Jan 16 15:17:31 2015  4 relations: 49472
Fri Jan 16 15:17:31 2015  5 relations: 48315
Fri Jan 16 15:17:31 2015  6 relations: 44269
Fri Jan 16 15:17:31 2015  7 relations: 39669
Fri Jan 16 15:17:31 2015  8 relations: 34112
Fri Jan 16 15:17:31 2015  9 relations: 28057
Fri Jan 16 15:17:31 2015  10+ relations: 74558
Fri Jan 16 15:17:31 2015  heaviest cycle: 20 relations
Fri Jan 16 15:17:32 2015  RelProcTime: 103
Fri Jan 16 15:17:32 2015  
Fri Jan 16 15:17:32 2015  commencing linear algebra
Fri Jan 16 15:17:32 2015  read 443050 cycles
Fri Jan 16 15:17:32 2015  cycles contain 1342897 unique relations
Fri Jan 16 15:17:41 2015  read 1342897 relations
Fri Jan 16 15:17:42 2015  using 20 quadratic characters above 134216190
Fri Jan 16 15:17:46 2015  building initial matrix
Fri Jan 16 15:17:53 2015  memory use: 165.5 MB
Fri Jan 16 15:17:53 2015  read 443050 cycles
Fri Jan 16 15:17:53 2015  matrix is 442878 x 443050 (132.2 MB) with weight 39277367 (88.65/col)
Fri Jan 16 15:17:53 2015  sparse part has weight 29794605 (67.25/col)
Fri Jan 16 15:17:55 2015  filtering completed in 2 passes
Fri Jan 16 15:17:55 2015  matrix is 442779 x 442955 (132.2 MB) with weight 39273246 (88.66/col)
Fri Jan 16 15:17:55 2015  sparse part has weight 29792588 (67.26/col)
Fri Jan 16 15:17:56 2015  matrix starts at (0, 0)
Fri Jan 16 15:17:56 2015  matrix is 442779 x 442955 (132.2 MB) with weight 39273246 (88.66/col)
Fri Jan 16 15:17:56 2015  sparse part has weight 29792588 (67.26/col)
Fri Jan 16 15:17:56 2015  saving the first 48 matrix rows for later
Fri Jan 16 15:17:56 2015  matrix includes 64 packed rows
Fri Jan 16 15:17:56 2015  matrix is 442731 x 442955 (124.1 MB) with weight 30910004 (69.78/col)
Fri Jan 16 15:17:56 2015  sparse part has weight 28105206 (63.45/col)
Fri Jan 16 15:17:56 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan 16 15:17:57 2015  commencing Lanczos iteration (8 threads)
Fri Jan 16 15:17:57 2015  memory use: 119.5 MB
Fri Jan 16 15:18:05 2015  linear algebra at 2.7%, ETA 0h 4m
Fri Jan 16 15:22:44 2015  lanczos halted after 7004 iterations (dim = 442730)
Fri Jan 16 15:22:44 2015  recovered 39 nontrivial dependencies
Fri Jan 16 15:22:44 2015  BLanczosTime: 312
Fri Jan 16 15:22:44 2015  
Fri Jan 16 15:22:44 2015  commencing square root phase
Fri Jan 16 15:22:44 2015  reading relations for dependency 1
Fri Jan 16 15:22:44 2015  read 221033 cycles
Fri Jan 16 15:22:45 2015  cycles contain 670246 unique relations
Fri Jan 16 15:22:52 2015  read 670246 relations
Fri Jan 16 15:22:53 2015  multiplying 670246 relations
Fri Jan 16 15:23:05 2015  multiply complete, coefficients have about 18.51 million bits
Fri Jan 16 15:23:05 2015  initial square root is modulo 207721
Fri Jan 16 15:23:19 2015  GCD is 1, no factor found
Fri Jan 16 15:23:19 2015  reading relations for dependency 2
Fri Jan 16 15:23:19 2015  read 221356 cycles
Fri Jan 16 15:23:20 2015  cycles contain 671144 unique relations
Fri Jan 16 15:23:27 2015  read 671144 relations
Fri Jan 16 15:23:29 2015  multiplying 671144 relations
Fri Jan 16 15:23:41 2015  multiply complete, coefficients have about 18.54 million bits
Fri Jan 16 15:23:41 2015  initial square root is modulo 211501
Fri Jan 16 15:23:56 2015  sqrtTime: 72
--
n: 379912240314340474915514107747773239507437617607339599970185602755135504300810194554834019862048433912205775480993540553694804751457
m: 5000000000000000000000000000000
deg: 5
c5: 112
c0: 865
skew: 1.51
# Murphy_E = 6.616e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:34 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 34 秒 (日本時間)

7×10155+1739

c146

name 名前Cyp
date 日付January 13, 2015 10:57:39 UTC 2015 年 1 月 13 日 (火) 19 時 57 分 39 秒 (日本時間)
composite number 合成数
55937099836550891292986648463219283548862347216075504085308031843878268122530792225351047120449745361428042508017853881742772955049240720582701391<146>
prime factors 素因数
49420224744683960743300553426271661440897395058623<50>
1131866561221333546561515082740977216043078077911710891304256197194141710719439049902174883797617<97>
factorization results 素因数分解の結果
01/13/15 09:36:32 v1.34.3, 
01/13/15 09:36:32 v1.34.3, ****************************
01/13/15 09:36:32 v1.34.3, Starting factorization of 55937099836550891292986648463219283548862347216075504085308031843878268122530792225351047120449745361428042508017853881742772955049240720582701391
01/13/15 09:36:32 v1.34.3, using pretesting plan: none
01/13/15 09:36:32 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/13/15 09:36:32 v1.34.3, ****************************
01/13/15 09:36:32 v1.34.3, nfs: commencing nfs on c146: 55937099836550891292986648463219283548862347216075504085308031843878268122530792225351047120449745361428042508017853881742772955049240720582701391
01/13/15 09:36:32 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/13/15 09:36:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 09:40:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
[27 lines snipped]
01/13/15 11:42:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 11:47:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 11:51:31 v1.34.3, nfs: commencing msieve filtering
01/13/15 11:53:17 v1.34.3, nfs: commencing msieve linear algebra
01/13/15 11:56:44 v1.34.3, nfs: commencing msieve sqrt
01/13/15 11:57:38 v1.34.3, prp97 = 1131866561221333546561515082740977216043078077911710891304256197194141710719439049902174883797617
01/13/15 11:57:38 v1.34.3, prp50 = 49420224744683960743300553426271661440897395058623
01/13/15 11:57:38 v1.34.3, NFS elapsed time = 8465.8786 seconds.
01/13/15 11:57:38 v1.34.3, 
01/13/15 11:57:38 v1.34.3, 
01/13/15 11:57:38 v1.34.3, Total factoring time = 8465.8795 seconds
--
Tue Jan 13 11:51:31 2015  
Tue Jan 13 11:51:31 2015  commencing relation filtering
Tue Jan 13 11:51:31 2015  estimated available RAM is 15987.3 MB
Tue Jan 13 11:51:31 2015  commencing duplicate removal, pass 1
Tue Jan 13 11:51:58 2015  found 1273679 hash collisions in 10166677 relations
Tue Jan 13 11:52:08 2015  added 359709 free relations
Tue Jan 13 11:52:08 2015  commencing duplicate removal, pass 2
Tue Jan 13 11:52:16 2015  found 782806 duplicates and 9743580 unique relations
Tue Jan 13 11:52:16 2015  memory use: 41.3 MB
Tue Jan 13 11:52:16 2015  reading ideals above 100000
Tue Jan 13 11:52:16 2015  commencing singleton removal, initial pass
Tue Jan 13 11:52:56 2015  memory use: 188.2 MB
Tue Jan 13 11:52:56 2015  reading all ideals from disk
Tue Jan 13 11:52:57 2015  memory use: 335.5 MB
Tue Jan 13 11:52:57 2015  keeping 9771090 ideals with weight <= 200, target excess is 51975
Tue Jan 13 11:52:57 2015  commencing in-memory singleton removal
Tue Jan 13 11:52:58 2015  begin with 9743580 relations and 9771090 unique ideals
Tue Jan 13 11:53:00 2015  reduce to 4845209 relations and 3783696 ideals in 12 passes
Tue Jan 13 11:53:00 2015  max relations containing the same ideal: 129
Tue Jan 13 11:53:02 2015  removing 1287138 relations and 887138 ideals in 400000 cliques
Tue Jan 13 11:53:02 2015  commencing in-memory singleton removal
Tue Jan 13 11:53:02 2015  begin with 3558071 relations and 3783696 unique ideals
Tue Jan 13 11:53:03 2015  reduce to 3340032 relations and 2657093 ideals in 7 passes
Tue Jan 13 11:53:03 2015  max relations containing the same ideal: 97
Tue Jan 13 11:53:04 2015  removing 1090557 relations and 690557 ideals in 400000 cliques
Tue Jan 13 11:53:04 2015  commencing in-memory singleton removal
Tue Jan 13 11:53:04 2015  begin with 2249475 relations and 2657093 unique ideals
Tue Jan 13 11:53:05 2015  reduce to 2059859 relations and 1755353 ideals in 8 passes
Tue Jan 13 11:53:05 2015  max relations containing the same ideal: 70
Tue Jan 13 11:53:06 2015  removing 685988 relations and 441773 ideals in 244215 cliques
Tue Jan 13 11:53:06 2015  commencing in-memory singleton removal
Tue Jan 13 11:53:06 2015  begin with 1373871 relations and 1755353 unique ideals
Tue Jan 13 11:53:07 2015  reduce to 1233516 relations and 1157540 ideals in 9 passes
Tue Jan 13 11:53:07 2015  max relations containing the same ideal: 50
Tue Jan 13 11:53:07 2015  removing 82018 relations and 66333 ideals in 15685 cliques
Tue Jan 13 11:53:07 2015  commencing in-memory singleton removal
Tue Jan 13 11:53:07 2015  begin with 1151498 relations and 1157540 unique ideals
Tue Jan 13 11:53:07 2015  reduce to 1146890 relations and 1086533 ideals in 6 passes
Tue Jan 13 11:53:07 2015  max relations containing the same ideal: 50
Tue Jan 13 11:53:07 2015  relations with 0 large ideals: 1163
Tue Jan 13 11:53:07 2015  relations with 1 large ideals: 709
Tue Jan 13 11:53:07 2015  relations with 2 large ideals: 10435
Tue Jan 13 11:53:07 2015  relations with 3 large ideals: 62880
Tue Jan 13 11:53:07 2015  relations with 4 large ideals: 189666
Tue Jan 13 11:53:07 2015  relations with 5 large ideals: 315827
Tue Jan 13 11:53:07 2015  relations with 6 large ideals: 317672
Tue Jan 13 11:53:07 2015  relations with 7+ large ideals: 248538
Tue Jan 13 11:53:07 2015  commencing 2-way merge
Tue Jan 13 11:53:08 2015  reduce to 716120 relation sets and 655763 unique ideals
Tue Jan 13 11:53:08 2015  commencing full merge
Tue Jan 13 11:53:14 2015  memory use: 83.9 MB
Tue Jan 13 11:53:14 2015  found 365957 cycles, need 357963
Tue Jan 13 11:53:14 2015  weight of 357963 cycles is about 25446943 (71.09/cycle)
Tue Jan 13 11:53:14 2015  distribution of cycle lengths:
Tue Jan 13 11:53:14 2015  1 relations: 30580
Tue Jan 13 11:53:14 2015  2 relations: 34219
Tue Jan 13 11:53:14 2015  3 relations: 37246
Tue Jan 13 11:53:14 2015  4 relations: 38025
Tue Jan 13 11:53:14 2015  5 relations: 37233
Tue Jan 13 11:53:14 2015  6 relations: 34464
Tue Jan 13 11:53:14 2015  7 relations: 30922
Tue Jan 13 11:53:14 2015  8 relations: 26100
Tue Jan 13 11:53:14 2015  9 relations: 21634
Tue Jan 13 11:53:14 2015  10+ relations: 67540
Tue Jan 13 11:53:14 2015  heaviest cycle: 20 relations
Tue Jan 13 11:53:14 2015  commencing cycle optimization
Tue Jan 13 11:53:14 2015  start with 2196283 relations
Tue Jan 13 11:53:16 2015  pruned 69951 relations
Tue Jan 13 11:53:16 2015  memory use: 69.2 MB
Tue Jan 13 11:53:16 2015  distribution of cycle lengths:
Tue Jan 13 11:53:16 2015  1 relations: 30580
Tue Jan 13 11:53:16 2015  2 relations: 34926
Tue Jan 13 11:53:16 2015  3 relations: 38604
Tue Jan 13 11:53:16 2015  4 relations: 39413
Tue Jan 13 11:53:16 2015  5 relations: 38846
Tue Jan 13 11:53:16 2015  6 relations: 35558
Tue Jan 13 11:53:16 2015  7 relations: 31954
Tue Jan 13 11:53:16 2015  8 relations: 26507
Tue Jan 13 11:53:16 2015  9 relations: 21694
Tue Jan 13 11:53:16 2015  10+ relations: 59881
Tue Jan 13 11:53:16 2015  heaviest cycle: 19 relations
Tue Jan 13 11:53:17 2015  RelProcTime: 106
Tue Jan 13 11:53:17 2015  
Tue Jan 13 11:53:17 2015  commencing linear algebra
Tue Jan 13 11:53:17 2015  read 357963 cycles
Tue Jan 13 11:53:17 2015  cycles contain 1111482 unique relations
Tue Jan 13 11:53:25 2015  read 1111482 relations
Tue Jan 13 11:53:26 2015  using 20 quadratic characters above 134216010
Tue Jan 13 11:53:30 2015  building initial matrix
Tue Jan 13 11:53:35 2015  memory use: 138.7 MB
Tue Jan 13 11:53:35 2015  read 357963 cycles
Tue Jan 13 11:53:35 2015  matrix is 357789 x 357963 (107.4 MB) with weight 32098556 (89.67/col)
Tue Jan 13 11:53:35 2015  sparse part has weight 24221083 (67.66/col)
Tue Jan 13 11:53:36 2015  filtering completed in 2 passes
Tue Jan 13 11:53:37 2015  matrix is 357675 x 357849 (107.4 MB) with weight 32094354 (89.69/col)
Tue Jan 13 11:53:37 2015  sparse part has weight 24219374 (67.68/col)
Tue Jan 13 11:53:37 2015  matrix starts at (0, 0)
Tue Jan 13 11:53:37 2015  matrix is 357675 x 357849 (107.4 MB) with weight 32094354 (89.69/col)
Tue Jan 13 11:53:37 2015  sparse part has weight 24219374 (67.68/col)
Tue Jan 13 11:53:37 2015  saving the first 48 matrix rows for later
Tue Jan 13 11:53:37 2015  matrix includes 64 packed rows
Tue Jan 13 11:53:37 2015  matrix is 357627 x 357849 (101.6 MB) with weight 25353705 (70.85/col)
Tue Jan 13 11:53:37 2015  sparse part has weight 23057161 (64.43/col)
Tue Jan 13 11:53:37 2015  using block size 65536 for processor cache size 8192 kB
Tue Jan 13 11:53:38 2015  commencing Lanczos iteration (8 threads)
Tue Jan 13 11:53:38 2015  memory use: 97.6 MB
Tue Jan 13 11:53:44 2015  linear algebra at 3.4%, ETA 0h 2m
Tue Jan 13 11:56:44 2015  lanczos halted after 5657 iterations (dim = 357623)
Tue Jan 13 11:56:44 2015  recovered 35 nontrivial dependencies
Tue Jan 13 11:56:44 2015  BLanczosTime: 207
Tue Jan 13 11:56:44 2015  
Tue Jan 13 11:56:44 2015  commencing square root phase
Tue Jan 13 11:56:44 2015  reading relations for dependency 1
Tue Jan 13 11:56:44 2015  read 179153 cycles
Tue Jan 13 11:56:44 2015  cycles contain 555840 unique relations
Tue Jan 13 11:56:52 2015  read 555840 relations
Tue Jan 13 11:56:53 2015  multiplying 555840 relations
Tue Jan 13 11:57:01 2015  multiply complete, coefficients have about 13.59 million bits
Tue Jan 13 11:57:01 2015  initial square root is modulo 64745501
Tue Jan 13 11:57:12 2015  Newton iteration failed to converge
Tue Jan 13 11:57:12 2015  algebraic square root failed
Tue Jan 13 11:57:12 2015  reading relations for dependency 2
Tue Jan 13 11:57:12 2015  read 178895 cycles
Tue Jan 13 11:57:12 2015  cycles contain 555226 unique relations
Tue Jan 13 11:57:19 2015  read 555226 relations
Tue Jan 13 11:57:21 2015  multiplying 555226 relations
Tue Jan 13 11:57:28 2015  multiply complete, coefficients have about 13.58 million bits
Tue Jan 13 11:57:28 2015  initial square root is modulo 63297701
Tue Jan 13 11:57:38 2015  sqrtTime: 54
--
n: 55937099836550891292986648463219283548862347216075504085308031843878268122530792225351047120449745361428042508017853881742772955049240720582701391
m: 10000000000000000000000000000000
deg: 5
c5: 7
c0: 173
skew: 1.90
# Murphy_E = 8.472e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:35 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 35 秒 (日本時間)

7×10156+1739

c122

name 名前Serge Batalov
date 日付January 11, 2015 00:21:06 UTC 2015 年 1 月 11 日 (日) 9 時 21 分 6 秒 (日本時間)
composite number 合成数
12000736092393260835082092647121153003509960502979315591413584316202745837560576481812952498968516550496025310985411435949<122>
prime factors 素因数
6954007245177096374303732026371313<34>
20268864532219932593087070595882056441893<41>
85141897819600313311011063512698666996802871161<47>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3664541761
Step 1 took 7587ms
Step 2 took 6612ms
********** Factor found in step 2: 6954007245177096374303732026371313
Found probable prime factor of 34 digits: 6954007245177096374303732026371313

PRP41 = 20268864532219932593087070595882056441893
PRP47 = 85141897819600313311011063512698666996802871161

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 11, 2015 00:11:11 UTC 2015 年 1 月 11 日 (日) 9 時 11 分 11 秒 (日本時間)

7×10158+1739

c107

name 名前Cyp
date 日付January 9, 2015 19:42:53 UTC 2015 年 1 月 10 日 (土) 4 時 42 分 53 秒 (日本時間)
composite number 合成数
97528066975142492466249360476027405746101939566103045756895489803710664828103478135165153406752000413740661<107>
prime factors 素因数
35512947476312324935938978351606318138763<41>
2746267879910424040258422378516616387738682515722424893078494747647<67>
factorization results 素因数分解の結果
01/09/15 19:46:28 v1.34.3, 
01/09/15 19:46:28 v1.34.3, ****************************
01/09/15 19:46:28 v1.34.3, Starting factorization of 97528066975142492466249360476027405746101939566103045756895489803710664828103478135165153406752000413740661
01/09/15 19:46:28 v1.34.3, using pretesting plan: none
01/09/15 19:46:28 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 19:46:28 v1.34.3, ****************************
01/09/15 19:46:28 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107
01/09/15 19:46:28 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107
01/09/15 19:46:28 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107
01/09/15 19:46:28 v1.34.3, final ECM pretested depth: 0.00
01/09/15 19:46:28 v1.34.3, scheduler: switching to sieve method
01/09/15 19:46:28 v1.34.3, nfs: commencing nfs on c107: 97528066975142492466249360476027405746101939566103045756895489803710664828103478135165153406752000413740661
01/09/15 19:46:28 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 19:46:28 v1.34.3, nfs: setting deadline of 330 seconds
01/09/15 19:52:22 v1.34.3, nfs: completed 65 ranges of size 250 in 353.6893 seconds
01/09/15 19:52:22 v1.34.3, nfs: best poly = # norm 1.451933e-14 alpha -4.659546 e 4.694e-09 rroots 4
01/09/15 19:52:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 19:54:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
[16 lines snipped]
01/09/15 20:24:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 20:26:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 20:27:56 v1.34.3, nfs: commencing msieve filtering
01/09/15 20:28:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 20:30:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 20:32:07 v1.34.3, nfs: commencing msieve filtering
01/09/15 20:32:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 20:34:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 20:36:40 v1.34.3, nfs: commencing msieve filtering
01/09/15 20:37:42 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 20:42:13 v1.34.3, nfs: commencing msieve sqrt
01/09/15 20:42:52 v1.34.3, prp41 = 35512947476312324935938978351606318138763
01/09/15 20:42:52 v1.34.3, prp67 = 2746267879910424040258422378516616387738682515722424893078494747647
01/09/15 20:42:52 v1.34.3, NFS elapsed time = 3383.7464 seconds.
01/09/15 20:42:52 v1.34.3, 
01/09/15 20:42:52 v1.34.3, 
01/09/15 20:42:52 v1.34.3, Total factoring time = 3383.7687 seconds
--
Fri Jan  9 20:27:56 2015  
Fri Jan  9 20:27:56 2015  commencing relation filtering
Fri Jan  9 20:27:56 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 20:27:56 2015  commencing duplicate removal, pass 1
Fri Jan  9 20:28:09 2015  found 461450 hash collisions in 4574346 relations
Fri Jan  9 20:28:12 2015  added 159585 free relations
Fri Jan  9 20:28:12 2015  commencing duplicate removal, pass 2
Fri Jan  9 20:28:16 2015  found 231989 duplicates and 4501942 unique relations
Fri Jan  9 20:28:16 2015  memory use: 20.6 MB
Fri Jan  9 20:28:16 2015  reading ideals above 100000
Fri Jan  9 20:28:16 2015  commencing singleton removal, initial pass
Fri Jan  9 20:28:34 2015  memory use: 172.2 MB
Fri Jan  9 20:28:34 2015  reading all ideals from disk
Fri Jan  9 20:28:34 2015  memory use: 145.7 MB
Fri Jan  9 20:28:34 2015  keeping 5539224 ideals with weight <= 200, target excess is 21495
Fri Jan  9 20:28:34 2015  commencing in-memory singleton removal
Fri Jan  9 20:28:34 2015  begin with 4501942 relations and 5539224 unique ideals
Fri Jan  9 20:28:37 2015  reduce to 607635 relations and 758034 ideals in 128 passes
Fri Jan  9 20:28:37 2015  max relations containing the same ideal: 49
Fri Jan  9 20:32:07 2015  
Fri Jan  9 20:32:07 2015  commencing relation filtering
Fri Jan  9 20:32:07 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 20:32:07 2015  commencing duplicate removal, pass 1
Fri Jan  9 20:32:22 2015  found 561467 hash collisions in 5175834 relations
Fri Jan  9 20:32:26 2015  added 1321 free relations
Fri Jan  9 20:32:26 2015  commencing duplicate removal, pass 2
Fri Jan  9 20:32:29 2015  found 273516 duplicates and 4903639 unique relations
Fri Jan  9 20:32:29 2015  memory use: 20.6 MB
Fri Jan  9 20:32:29 2015  reading ideals above 100000
Fri Jan  9 20:32:29 2015  commencing singleton removal, initial pass
Fri Jan  9 20:32:49 2015  memory use: 172.2 MB
Fri Jan  9 20:32:49 2015  reading all ideals from disk
Fri Jan  9 20:32:49 2015  memory use: 158.8 MB
Fri Jan  9 20:32:50 2015  keeping 5725627 ideals with weight <= 200, target excess is 23226
Fri Jan  9 20:32:50 2015  commencing in-memory singleton removal
Fri Jan  9 20:32:50 2015  begin with 4903639 relations and 5725627 unique ideals
Fri Jan  9 20:32:52 2015  reduce to 1363347 relations and 1426398 ideals in 26 passes
Fri Jan  9 20:32:52 2015  max relations containing the same ideal: 87
Fri Jan  9 20:36:40 2015  
Fri Jan  9 20:36:40 2015  commencing relation filtering
Fri Jan  9 20:36:40 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 20:36:40 2015  commencing duplicate removal, pass 1
Fri Jan  9 20:36:58 2015  found 652627 hash collisions in 5637912 relations
Fri Jan  9 20:37:01 2015  added 1056 free relations
Fri Jan  9 20:37:01 2015  commencing duplicate removal, pass 2
Fri Jan  9 20:37:05 2015  found 319817 duplicates and 5319151 unique relations
Fri Jan  9 20:37:05 2015  memory use: 20.6 MB
Fri Jan  9 20:37:05 2015  reading ideals above 100000
Fri Jan  9 20:37:05 2015  commencing singleton removal, initial pass
Fri Jan  9 20:37:26 2015  memory use: 172.2 MB
Fri Jan  9 20:37:27 2015  reading all ideals from disk
Fri Jan  9 20:37:27 2015  memory use: 172.4 MB
Fri Jan  9 20:37:27 2015  keeping 5899475 ideals with weight <= 200, target excess is 25260
Fri Jan  9 20:37:27 2015  commencing in-memory singleton removal
Fri Jan  9 20:37:27 2015  begin with 5319151 relations and 5899475 unique ideals
Fri Jan  9 20:37:29 2015  reduce to 1957560 relations and 1885441 ideals in 20 passes
Fri Jan  9 20:37:29 2015  max relations containing the same ideal: 100
Fri Jan  9 20:37:29 2015  removing 237358 relations and 215949 ideals in 21409 cliques
Fri Jan  9 20:37:29 2015  commencing in-memory singleton removal
Fri Jan  9 20:37:29 2015  begin with 1720202 relations and 1885441 unique ideals
Fri Jan  9 20:37:30 2015  reduce to 1693872 relations and 1642714 ideals in 9 passes
Fri Jan  9 20:37:30 2015  max relations containing the same ideal: 90
Fri Jan  9 20:37:30 2015  removing 174343 relations and 152934 ideals in 21409 cliques
Fri Jan  9 20:37:30 2015  commencing in-memory singleton removal
Fri Jan  9 20:37:30 2015  begin with 1519529 relations and 1642714 unique ideals
Fri Jan  9 20:37:31 2015  reduce to 1503171 relations and 1473194 ideals in 9 passes
Fri Jan  9 20:37:31 2015  max relations containing the same ideal: 84
Fri Jan  9 20:37:31 2015  relations with 0 large ideals: 477
Fri Jan  9 20:37:31 2015  relations with 1 large ideals: 163
Fri Jan  9 20:37:31 2015  relations with 2 large ideals: 2943
Fri Jan  9 20:37:31 2015  relations with 3 large ideals: 26651
Fri Jan  9 20:37:31 2015  relations with 4 large ideals: 122689
Fri Jan  9 20:37:31 2015  relations with 5 large ideals: 329691
Fri Jan  9 20:37:31 2015  relations with 6 large ideals: 454244
Fri Jan  9 20:37:31 2015  relations with 7+ large ideals: 566313
Fri Jan  9 20:37:31 2015  commencing 2-way merge
Fri Jan  9 20:37:32 2015  reduce to 848522 relation sets and 818545 unique ideals
Fri Jan  9 20:37:32 2015  commencing full merge
Fri Jan  9 20:37:39 2015  memory use: 90.7 MB
Fri Jan  9 20:37:39 2015  found 407415 cycles, need 404745
Fri Jan  9 20:37:39 2015  weight of 404745 cycles is about 28649166 (70.78/cycle)
Fri Jan  9 20:37:39 2015  distribution of cycle lengths:
Fri Jan  9 20:37:39 2015  1 relations: 47082
Fri Jan  9 20:37:39 2015  2 relations: 45062
Fri Jan  9 20:37:39 2015  3 relations: 43532
Fri Jan  9 20:37:39 2015  4 relations: 38617
Fri Jan  9 20:37:39 2015  5 relations: 34906
Fri Jan  9 20:37:39 2015  6 relations: 29725
Fri Jan  9 20:37:39 2015  7 relations: 26571
Fri Jan  9 20:37:39 2015  8 relations: 22792
Fri Jan  9 20:37:39 2015  9 relations: 19593
Fri Jan  9 20:37:39 2015  10+ relations: 96865
Fri Jan  9 20:37:39 2015  heaviest cycle: 27 relations
Fri Jan  9 20:37:39 2015  commencing cycle optimization
Fri Jan  9 20:37:40 2015  start with 2664304 relations
Fri Jan  9 20:37:42 2015  pruned 57155 relations
Fri Jan  9 20:37:42 2015  memory use: 87.5 MB
Fri Jan  9 20:37:42 2015  distribution of cycle lengths:
Fri Jan  9 20:37:42 2015  1 relations: 47082
Fri Jan  9 20:37:42 2015  2 relations: 45964
Fri Jan  9 20:37:42 2015  3 relations: 44853
Fri Jan  9 20:37:42 2015  4 relations: 39416
Fri Jan  9 20:37:42 2015  5 relations: 35590
Fri Jan  9 20:37:42 2015  6 relations: 30125
Fri Jan  9 20:37:42 2015  7 relations: 26745
Fri Jan  9 20:37:42 2015  8 relations: 22790
Fri Jan  9 20:37:42 2015  9 relations: 19400
Fri Jan  9 20:37:42 2015  10+ relations: 92780
Fri Jan  9 20:37:42 2015  heaviest cycle: 26 relations
Fri Jan  9 20:37:42 2015  RelProcTime: 62
Fri Jan  9 20:37:42 2015  
Fri Jan  9 20:37:42 2015  commencing linear algebra
Fri Jan  9 20:37:42 2015  read 404745 cycles
Fri Jan  9 20:37:43 2015  cycles contain 1460992 unique relations
Fri Jan  9 20:37:49 2015  read 1460992 relations
Fri Jan  9 20:37:50 2015  using 20 quadratic characters above 67108748
Fri Jan  9 20:37:54 2015  building initial matrix
Fri Jan  9 20:38:02 2015  memory use: 177.1 MB
Fri Jan  9 20:38:02 2015  read 404745 cycles
Fri Jan  9 20:38:02 2015  matrix is 404576 x 404745 (122.1 MB) with weight 38231586 (94.46/col)
Fri Jan  9 20:38:02 2015  sparse part has weight 27558198 (68.09/col)
Fri Jan  9 20:38:03 2015  filtering completed in 2 passes
Fri Jan  9 20:38:03 2015  matrix is 403975 x 404148 (122.1 MB) with weight 38207066 (94.54/col)
Fri Jan  9 20:38:03 2015  sparse part has weight 27550542 (68.17/col)
Fri Jan  9 20:38:04 2015  matrix starts at (0, 0)
Fri Jan  9 20:38:04 2015  matrix is 403975 x 404148 (122.1 MB) with weight 38207066 (94.54/col)
Fri Jan  9 20:38:04 2015  sparse part has weight 27550542 (68.17/col)
Fri Jan  9 20:38:04 2015  saving the first 48 matrix rows for later
Fri Jan  9 20:38:04 2015  matrix includes 64 packed rows
Fri Jan  9 20:38:04 2015  matrix is 403927 x 404148 (117.1 MB) with weight 30241142 (74.83/col)
Fri Jan  9 20:38:04 2015  sparse part has weight 26666201 (65.98/col)
Fri Jan  9 20:38:04 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 20:38:05 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 20:38:05 2015  memory use: 111.0 MB
Fri Jan  9 20:38:13 2015  linear algebra at 3.0%, ETA 0h 4m
Fri Jan  9 20:42:12 2015  lanczos halted after 6389 iterations (dim = 403922)
Fri Jan  9 20:42:13 2015  recovered 30 nontrivial dependencies
Fri Jan  9 20:42:13 2015  BLanczosTime: 271
Fri Jan  9 20:42:13 2015  
Fri Jan  9 20:42:13 2015  commencing square root phase
Fri Jan  9 20:42:13 2015  reading relations for dependency 1
Fri Jan  9 20:42:13 2015  read 202089 cycles
Fri Jan  9 20:42:13 2015  cycles contain 729584 unique relations
Fri Jan  9 20:42:18 2015  read 729584 relations
Fri Jan  9 20:42:19 2015  multiplying 729584 relations
Fri Jan  9 20:42:32 2015  multiply complete, coefficients have about 31.81 million bits
Fri Jan  9 20:42:32 2015  initial square root is modulo 1362054013
Fri Jan  9 20:42:52 2015  sqrtTime: 39
--
n: 97528066975142492466249360476027405746101939566103045756895489803710664828103478135165153406752000413740661
skew: 1403592.45
c0: 422028641076395302874384100
c1: -14751572035489869438336
c2: -37599953117695431
c3: 20200586524
c4: 5124
Y0: -66051075545245352290306319
Y1: 35491630448579
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10159+1739

c142

name 名前Jo Yeong Uk
date 日付January 22, 2015 11:38:38 UTC 2015 年 1 月 22 日 (木) 20 時 38 分 38 秒 (日本時間)
composite number 合成数
6535337530628559486938139591755563908506086149894306195270048305121917720075102921371295406999528662703978285246747824449485039567037454841217<142>
prime factors 素因数
809027827404748244308961457260269251685794948937537407017388779<63>
8078013276246674511324091227903592678495359367168702140457016000051488315526723<79>
factorization results 素因数分解の結果
Number: 77797_159
N=6535337530628559486938139591755563908506086149894306195270048305121917720075102921371295406999528662703978285246747824449485039567037454841217
  ( 142 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=809027827404748244308961457260269251685794948937537407017388779
 r2=8078013276246674511324091227903592678495359367168702140457016000051488315526723
Version: 
Total time: 10.78 hours.
Scaled time: 56.69 units (timescale=5.258).
Factorization parameters were as follows:
n: 6535337530628559486938139591755563908506086149894306195270048305121917720075102921371295406999528662703978285246747824449485039567037454841217
m: 100000000000000000000000000000000
deg: 5
c5: 7
c0: 1730
skew: 3.01
# Murphy_E = 4.248e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3225001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9249132
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 709906 x 710154
Total sieving time: 9.82 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,75000
total time: 10.78 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:36 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 36 秒 (日本時間)

7×10161+1739

c119

name 名前Maksym Voznyy
date 日付January 30, 2015 22:15:15 UTC 2015 年 1 月 31 日 (土) 7 時 15 分 15 秒 (日本時間)
composite number 合成数
83097480261607759730885272968171132035680858108949876704909596012051499694047175488664820455394715260538068428945944069<119>
prime factors 素因数
137265855947159454687150161329767763585487791785281468593<57>
605376185419308990342466924072496479200183728776675868959088533<63>
factorization results 素因数分解の結果
Number: example2
N = 83097480261607759730885272968171132035680858108949876704909596012051499694047175488664820455394715260538068428945944069 (119 digits)
SNFS difficulty: 162 digits.
Divisors found:
r1=137265855947159454687150161329767763585487791785281468593 (pp57)
r2=605376185419308990342466924072496479200183728776675868959088533 (pp63)
Version: Msieve v. 1.51 (SVN 845)
Total time: 8.56 hours.
Factorization parameters were as follows:
n: 83097480261607759730885272968171132035680858108949876704909596012051499694047175488664820455394715260538068428945944069
m: 100000000000000000000000000000000
deg: 5
c5: 70
c0: 173
skew: 1.20
# Murphy_E = 3.86e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 9721512
Relations: 1119626 relations
Pruned matrix : 664871 x 665097
Polynomial selection time: 0.00 hours.
Total sieving time: 7.67 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.69 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 8.56 hours.
x86 Family 6 Model 15 Stepping 6, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 4, speed: 2.66GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 13, 2015 14:42:45 UTC 2015 年 1 月 13 日 (火) 23 時 42 分 45 秒 (日本時間)
403e6110Ignacio SantosJanuary 13, 2015 14:42:45 UTC 2015 年 1 月 13 日 (火) 23 時 42 分 45 秒 (日本時間)
4511e6632 / 443732Ignacio SantosJanuary 13, 2015 14:42:45 UTC 2015 年 1 月 13 日 (火) 23 時 42 分 45 秒 (日本時間)
600Pierre JammesJanuary 25, 2015 07:24:59 UTC 2015 年 1 月 25 日 (日) 16 時 24 分 59 秒 (日本時間)

7×10165+1739

c135

name 名前Cyp
date 日付February 25, 2015 19:47:39 UTC 2015 年 2 月 26 日 (木) 4 時 47 分 39 秒 (日本時間)
composite number 合成数
408601423647579713004897245199365534387672796918419825856753577037033586911747512764272512225784682001401516744835114657340946325873691<135>
prime factors 素因数
322023470812005921036931528014173700158632348337390890624729661<63>
1268856032814195503875352349563745200243395515789620406082617909314002231<73>
factorization results 素因数分解の結果
02/25/15 15:47:02 v1.34.3, 
02/25/15 15:47:02 v1.34.3, ****************************
02/25/15 15:47:02 v1.34.3, Starting factorization of 408601423647579713004897245199365534387672796918419825856753577037033586911747512764272512225784682001401516744835114657340946325873691
02/25/15 15:47:02 v1.34.3, using pretesting plan: none
02/25/15 15:47:02 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/25/15 15:47:02 v1.34.3, ****************************
02/25/15 15:47:02 v1.34.3, nfs: commencing nfs on c135: 408601423647579713004897245199365534387672796918419825856753577037033586911747512764272512225784682001401516744835114657340946325873691
02/25/15 15:47:02 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/25/15 15:47:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/25/15 15:48:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
[240 lines snipped]
02/25/15 20:20:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/25/15 20:22:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/25/15 20:23:16 v1.34.3, nfs: commencing msieve filtering
02/25/15 20:25:16 v1.34.3, nfs: commencing msieve linear algebra
02/25/15 20:46:29 v1.34.3, nfs: commencing msieve sqrt
02/25/15 20:47:37 v1.34.3, prp63 = 322023470812005921036931528014173700158632348337390890624729661
02/25/15 20:47:37 v1.34.3, prp73 = 1268856032814195503875352349563745200243395515789620406082617909314002231
02/25/15 20:47:38 v1.34.3, NFS elapsed time = 18035.4487 seconds.
02/25/15 20:47:38 v1.34.3, 
02/25/15 20:47:38 v1.34.3, 
02/25/15 20:47:38 v1.34.3, Total factoring time = 18035.4493 seconds
--
Wed Feb 25 20:23:16 2015  
Wed Feb 25 20:23:16 2015  commencing relation filtering
Wed Feb 25 20:23:16 2015  estimated available RAM is 15987.3 MB
Wed Feb 25 20:23:16 2015  commencing duplicate removal, pass 1
Wed Feb 25 20:23:44 2015  found 1761427 hash collisions in 10072868 relations
Wed Feb 25 20:23:52 2015  added 362548 free relations
Wed Feb 25 20:23:52 2015  commencing duplicate removal, pass 2
Wed Feb 25 20:24:00 2015  found 1481010 duplicates and 8954406 unique relations
Wed Feb 25 20:24:00 2015  memory use: 45.3 MB
Wed Feb 25 20:24:00 2015  reading ideals above 100000
Wed Feb 25 20:24:00 2015  commencing singleton removal, initial pass
Wed Feb 25 20:24:40 2015  memory use: 188.2 MB
Wed Feb 25 20:24:40 2015  reading all ideals from disk
Wed Feb 25 20:24:40 2015  memory use: 315.3 MB
Wed Feb 25 20:24:41 2015  keeping 10131053 ideals with weight <= 200, target excess is 44882
Wed Feb 25 20:24:41 2015  commencing in-memory singleton removal
Wed Feb 25 20:24:41 2015  begin with 8954406 relations and 10131053 unique ideals
Wed Feb 25 20:24:44 2015  reduce to 3401527 relations and 3293349 ideals in 17 passes
Wed Feb 25 20:24:44 2015  max relations containing the same ideal: 108
Wed Feb 25 20:24:45 2015  removing 292230 relations and 264173 ideals in 28057 cliques
Wed Feb 25 20:24:45 2015  commencing in-memory singleton removal
Wed Feb 25 20:24:46 2015  begin with 3109297 relations and 3293349 unique ideals
Wed Feb 25 20:24:47 2015  reduce to 3087953 relations and 3007584 ideals in 10 passes
Wed Feb 25 20:24:47 2015  max relations containing the same ideal: 98
Wed Feb 25 20:24:48 2015  removing 214635 relations and 186578 ideals in 28057 cliques
Wed Feb 25 20:24:48 2015  commencing in-memory singleton removal
Wed Feb 25 20:24:48 2015  begin with 2873318 relations and 3007584 unique ideals
Wed Feb 25 20:24:49 2015  reduce to 2861281 relations and 2808858 ideals in 9 passes
Wed Feb 25 20:24:49 2015  max relations containing the same ideal: 97
Wed Feb 25 20:24:50 2015  relations with 0 large ideals: 987
Wed Feb 25 20:24:50 2015  relations with 1 large ideals: 303
Wed Feb 25 20:24:50 2015  relations with 2 large ideals: 5416
Wed Feb 25 20:24:50 2015  relations with 3 large ideals: 45284
Wed Feb 25 20:24:50 2015  relations with 4 large ideals: 205408
Wed Feb 25 20:24:50 2015  relations with 5 large ideals: 534951
Wed Feb 25 20:24:50 2015  relations with 6 large ideals: 849977
Wed Feb 25 20:24:50 2015  relations with 7+ large ideals: 1218955
Wed Feb 25 20:24:50 2015  commencing 2-way merge
Wed Feb 25 20:24:51 2015  reduce to 1690974 relation sets and 1638551 unique ideals
Wed Feb 25 20:24:51 2015  commencing full merge
Wed Feb 25 20:25:09 2015  memory use: 204.7 MB
Wed Feb 25 20:25:09 2015  found 856237 cycles, need 850751
Wed Feb 25 20:25:09 2015  weight of 850751 cycles is about 59570724 (70.02/cycle)
Wed Feb 25 20:25:09 2015  distribution of cycle lengths:
Wed Feb 25 20:25:09 2015  1 relations: 108619
Wed Feb 25 20:25:09 2015  2 relations: 101984
Wed Feb 25 20:25:09 2015  3 relations: 96287
Wed Feb 25 20:25:09 2015  4 relations: 85042
Wed Feb 25 20:25:09 2015  5 relations: 75045
Wed Feb 25 20:25:09 2015  6 relations: 63965
Wed Feb 25 20:25:09 2015  7 relations: 54325
Wed Feb 25 20:25:09 2015  8 relations: 46542
Wed Feb 25 20:25:09 2015  9 relations: 39093
Wed Feb 25 20:25:09 2015  10+ relations: 179849
Wed Feb 25 20:25:09 2015  heaviest cycle: 26 relations
Wed Feb 25 20:25:09 2015  commencing cycle optimization
Wed Feb 25 20:25:10 2015  start with 5248640 relations
Wed Feb 25 20:25:15 2015  pruned 125347 relations
Wed Feb 25 20:25:15 2015  memory use: 169.7 MB
Wed Feb 25 20:25:15 2015  distribution of cycle lengths:
Wed Feb 25 20:25:15 2015  1 relations: 108619
Wed Feb 25 20:25:15 2015  2 relations: 103976
Wed Feb 25 20:25:15 2015  3 relations: 99531
Wed Feb 25 20:25:15 2015  4 relations: 86778
Wed Feb 25 20:25:15 2015  5 relations: 76792
Wed Feb 25 20:25:15 2015  6 relations: 64595
Wed Feb 25 20:25:15 2015  7 relations: 54859
Wed Feb 25 20:25:15 2015  8 relations: 46483
Wed Feb 25 20:25:15 2015  9 relations: 38853
Wed Feb 25 20:25:15 2015  10+ relations: 170265
Wed Feb 25 20:25:15 2015  heaviest cycle: 25 relations
Wed Feb 25 20:25:16 2015  RelProcTime: 120
Wed Feb 25 20:25:16 2015  
Wed Feb 25 20:25:16 2015  commencing linear algebra
Wed Feb 25 20:25:16 2015  read 850751 cycles
Wed Feb 25 20:25:17 2015  cycles contain 2805815 unique relations
Wed Feb 25 20:25:29 2015  read 2805815 relations
Wed Feb 25 20:25:31 2015  using 20 quadratic characters above 134217324
Wed Feb 25 20:25:40 2015  building initial matrix
Wed Feb 25 20:25:55 2015  memory use: 340.3 MB
Wed Feb 25 20:25:55 2015  read 850751 cycles
Wed Feb 25 20:25:55 2015  matrix is 850573 x 850751 (254.1 MB) with weight 75539162 (88.79/col)
Wed Feb 25 20:25:55 2015  sparse part has weight 57241720 (67.28/col)
Wed Feb 25 20:26:00 2015  filtering completed in 2 passes
Wed Feb 25 20:26:00 2015  matrix is 850040 x 850217 (254.0 MB) with weight 75521815 (88.83/col)
Wed Feb 25 20:26:00 2015  sparse part has weight 57236389 (67.32/col)
Wed Feb 25 20:26:02 2015  matrix starts at (0, 0)
Wed Feb 25 20:26:02 2015  matrix is 850040 x 850217 (254.0 MB) with weight 75521815 (88.83/col)
Wed Feb 25 20:26:02 2015  sparse part has weight 57236389 (67.32/col)
Wed Feb 25 20:26:02 2015  saving the first 48 matrix rows for later
Wed Feb 25 20:26:02 2015  matrix includes 64 packed rows
Wed Feb 25 20:26:02 2015  matrix is 849992 x 850217 (240.8 MB) with weight 59789972 (70.32/col)
Wed Feb 25 20:26:02 2015  sparse part has weight 54631160 (64.26/col)
Wed Feb 25 20:26:02 2015  using block size 65536 for processor cache size 8192 kB
Wed Feb 25 20:26:04 2015  commencing Lanczos iteration (8 threads)
Wed Feb 25 20:26:04 2015  memory use: 234.1 MB
Wed Feb 25 20:26:09 2015  linear algebra at 0.4%, ETA 0h23m
Wed Feb 25 20:46:28 2015  lanczos halted after 13443 iterations (dim = 849986)
Wed Feb 25 20:46:29 2015  recovered 34 nontrivial dependencies
Wed Feb 25 20:46:29 2015  BLanczosTime: 1273
Wed Feb 25 20:46:29 2015  
Wed Feb 25 20:46:29 2015  commencing square root phase
Wed Feb 25 20:46:29 2015  reading relations for dependency 1
Wed Feb 25 20:46:29 2015  read 424699 cycles
Wed Feb 25 20:46:29 2015  cycles contain 1402586 unique relations
Wed Feb 25 20:46:39 2015  read 1402586 relations
Wed Feb 25 20:46:42 2015  multiplying 1402586 relations
Wed Feb 25 20:47:06 2015  multiply complete, coefficients have about 33.93 million bits
Wed Feb 25 20:47:06 2015  initial square root is modulo 74551
Wed Feb 25 20:47:37 2015  sqrtTime: 68
--
n: 408601423647579713004897245199365534387672796918419825856753577037033586911747512764272512225784682001401516744835114657340946325873691
m: 1000000000000000000000000000000000
deg: 5
c5: 7
c0: 173
skew: 1.90
# Murphy_E = 3.466e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:36 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 36 秒 (日本時間)
4511e6667 / 4409Pierre JammesFebruary 8, 2015 09:25:41 UTC 2015 年 2 月 8 日 (日) 18 時 25 分 41 秒 (日本時間)

7×10166+1739

c140

name 名前Cyp
date 日付February 27, 2015 12:58:50 UTC 2015 年 2 月 27 日 (金) 21 時 58 分 50 秒 (日本時間)
composite number 合成数
23325339870608007441710454561584639914033712478327617391841877000971684632409328527845356665795210558244415451348082472955802880662114909449<140>
prime factors 素因数
56549111958356397653151404421146002671899408921<47>
412479331024422323009875499584316024088818604096256350639607161654512434756283156839951865969<93>
factorization results 素因数分解の結果
02/27/15 08:17:26 v1.34.3, 
02/27/15 08:17:26 v1.34.3, ****************************
02/27/15 08:17:26 v1.34.3, Starting factorization of 23325339870608007441710454561584639914033712478327617391841877000971684632409328527845356665795210558244415451348082472955802880662114909449
02/27/15 08:17:26 v1.34.3, using pretesting plan: none
02/27/15 08:17:26 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/27/15 08:17:26 v1.34.3, ****************************
02/27/15 08:17:26 v1.34.3, nfs: commencing nfs on c140: 23325339870608007441710454561584639914033712478327617391841877000971684632409328527845356665795210558244415451348082472955802880662114909449
02/27/15 08:17:26 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/27/15 08:17:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/27/15 08:21:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
[83 lines snipped]
02/27/15 13:27:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/27/15 13:31:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/27/15 13:34:56 v1.34.3, nfs: commencing msieve filtering
02/27/15 13:36:55 v1.34.3, nfs: commencing msieve linear algebra
02/27/15 13:56:34 v1.34.3, nfs: commencing msieve sqrt
02/27/15 13:58:49 v1.34.3, prp47 = 56549111958356397653151404421146002671899408921
02/27/15 13:58:49 v1.34.3, prp93 = 412479331024422323009875499584316024088818604096256350639607161654512434756283156839951865969
02/27/15 13:58:49 v1.34.3, NFS elapsed time = 20483.0876 seconds.
02/27/15 13:58:49 v1.34.3, 
02/27/15 13:58:49 v1.34.3, 
02/27/15 13:58:49 v1.34.3, Total factoring time = 20483.0883 seconds
--
Fri Feb 27 13:34:56 2015  
Fri Feb 27 13:34:56 2015  commencing relation filtering
Fri Feb 27 13:34:56 2015  estimated available RAM is 15987.3 MB
Fri Feb 27 13:34:56 2015  commencing duplicate removal, pass 1
Fri Feb 27 13:35:24 2015  found 1459650 hash collisions in 10099354 relations
Fri Feb 27 13:35:32 2015  added 365282 free relations
Fri Feb 27 13:35:32 2015  commencing duplicate removal, pass 2
Fri Feb 27 13:35:40 2015  found 1051793 duplicates and 9412843 unique relations
Fri Feb 27 13:35:40 2015  memory use: 41.3 MB
Fri Feb 27 13:35:40 2015  reading ideals above 100000
Fri Feb 27 13:35:40 2015  commencing singleton removal, initial pass
Fri Feb 27 13:36:22 2015  memory use: 344.5 MB
Fri Feb 27 13:36:22 2015  reading all ideals from disk
Fri Feb 27 13:36:23 2015  memory use: 339.9 MB
Fri Feb 27 13:36:23 2015  keeping 10338230 ideals with weight <= 200, target excess is 49882
Fri Feb 27 13:36:24 2015  commencing in-memory singleton removal
Fri Feb 27 13:36:24 2015  begin with 9412843 relations and 10338230 unique ideals
Fri Feb 27 13:36:28 2015  reduce to 3946152 relations and 3680627 ideals in 16 passes
Fri Feb 27 13:36:28 2015  max relations containing the same ideal: 113
Fri Feb 27 13:36:29 2015  removing 667493 relations and 563662 ideals in 103831 cliques
Fri Feb 27 13:36:29 2015  commencing in-memory singleton removal
Fri Feb 27 13:36:29 2015  begin with 3278659 relations and 3680627 unique ideals
Fri Feb 27 13:36:30 2015  reduce to 3182519 relations and 3017602 ideals in 10 passes
Fri Feb 27 13:36:30 2015  max relations containing the same ideal: 101
Fri Feb 27 13:36:31 2015  removing 521762 relations and 417931 ideals in 103831 cliques
Fri Feb 27 13:36:31 2015  commencing in-memory singleton removal
Fri Feb 27 13:36:31 2015  begin with 2660757 relations and 3017602 unique ideals
Fri Feb 27 13:36:32 2015  reduce to 2590120 relations and 2526750 ideals in 8 passes
Fri Feb 27 13:36:32 2015  max relations containing the same ideal: 90
Fri Feb 27 13:36:33 2015  relations with 0 large ideals: 1156
Fri Feb 27 13:36:33 2015  relations with 1 large ideals: 296
Fri Feb 27 13:36:33 2015  relations with 2 large ideals: 4725
Fri Feb 27 13:36:33 2015  relations with 3 large ideals: 40302
Fri Feb 27 13:36:33 2015  relations with 4 large ideals: 182186
Fri Feb 27 13:36:33 2015  relations with 5 large ideals: 473592
Fri Feb 27 13:36:33 2015  relations with 6 large ideals: 751200
Fri Feb 27 13:36:33 2015  relations with 7+ large ideals: 1136663
Fri Feb 27 13:36:33 2015  commencing 2-way merge
Fri Feb 27 13:36:34 2015  reduce to 1542276 relation sets and 1478906 unique ideals
Fri Feb 27 13:36:34 2015  commencing full merge
Fri Feb 27 13:36:49 2015  memory use: 186.8 MB
Fri Feb 27 13:36:49 2015  found 781222 cycles, need 769106
Fri Feb 27 13:36:49 2015  weight of 769106 cycles is about 53984013 (70.19/cycle)
Fri Feb 27 13:36:49 2015  distribution of cycle lengths:
Fri Feb 27 13:36:49 2015  1 relations: 93886
Fri Feb 27 13:36:49 2015  2 relations: 86227
Fri Feb 27 13:36:49 2015  3 relations: 84816
Fri Feb 27 13:36:49 2015  4 relations: 78606
Fri Feb 27 13:36:49 2015  5 relations: 71787
Fri Feb 27 13:36:49 2015  6 relations: 63725
Fri Feb 27 13:36:49 2015  7 relations: 55246
Fri Feb 27 13:36:49 2015  8 relations: 47988
Fri Feb 27 13:36:49 2015  9 relations: 41015
Fri Feb 27 13:36:49 2015  10+ relations: 145810
Fri Feb 27 13:36:49 2015  heaviest cycle: 22 relations
Fri Feb 27 13:36:50 2015  commencing cycle optimization
Fri Feb 27 13:36:50 2015  start with 4551174 relations
Fri Feb 27 13:36:54 2015  pruned 108287 relations
Fri Feb 27 13:36:54 2015  memory use: 150.1 MB
Fri Feb 27 13:36:54 2015  distribution of cycle lengths:
Fri Feb 27 13:36:54 2015  1 relations: 93886
Fri Feb 27 13:36:54 2015  2 relations: 88029
Fri Feb 27 13:36:54 2015  3 relations: 87624
Fri Feb 27 13:36:54 2015  4 relations: 80273
Fri Feb 27 13:36:54 2015  5 relations: 73759
Fri Feb 27 13:36:54 2015  6 relations: 64614
Fri Feb 27 13:36:54 2015  7 relations: 56113
Fri Feb 27 13:36:54 2015  8 relations: 48207
Fri Feb 27 13:36:54 2015  9 relations: 40738
Fri Feb 27 13:36:54 2015  10+ relations: 135863
Fri Feb 27 13:36:54 2015  heaviest cycle: 21 relations
Fri Feb 27 13:36:55 2015  RelProcTime: 119
Fri Feb 27 13:36:55 2015  
Fri Feb 27 13:36:55 2015  commencing linear algebra
Fri Feb 27 13:36:55 2015  read 769106 cycles
Fri Feb 27 13:36:56 2015  cycles contain 2501212 unique relations
Fri Feb 27 13:37:07 2015  read 2501212 relations
Fri Feb 27 13:37:09 2015  using 20 quadratic characters above 134217048
Fri Feb 27 13:37:17 2015  building initial matrix
Fri Feb 27 13:37:30 2015  memory use: 309.3 MB
Fri Feb 27 13:37:30 2015  read 769106 cycles
Fri Feb 27 13:37:30 2015  matrix is 768930 x 769106 (230.3 MB) with weight 68015760 (88.43/col)
Fri Feb 27 13:37:30 2015  sparse part has weight 51913822 (67.50/col)
Fri Feb 27 13:37:34 2015  filtering completed in 2 passes
Fri Feb 27 13:37:34 2015  matrix is 767949 x 768127 (230.2 MB) with weight 67978745 (88.50/col)
Fri Feb 27 13:37:34 2015  sparse part has weight 51897718 (67.56/col)
Fri Feb 27 13:37:36 2015  matrix starts at (0, 0)
Fri Feb 27 13:37:36 2015  matrix is 767949 x 768127 (230.2 MB) with weight 67978745 (88.50/col)
Fri Feb 27 13:37:36 2015  sparse part has weight 51897718 (67.56/col)
Fri Feb 27 13:37:36 2015  saving the first 48 matrix rows for later
Fri Feb 27 13:37:36 2015  matrix includes 64 packed rows
Fri Feb 27 13:37:37 2015  matrix is 767901 x 768127 (217.4 MB) with weight 53718318 (69.93/col)
Fri Feb 27 13:37:37 2015  sparse part has weight 49309265 (64.19/col)
Fri Feb 27 13:37:37 2015  using block size 65536 for processor cache size 8192 kB
Fri Feb 27 13:37:38 2015  commencing Lanczos iteration (8 threads)
Fri Feb 27 13:37:38 2015  memory use: 211.7 MB
Fri Feb 27 13:37:43 2015  linear algebra at 0.4%, ETA 0h20m
Fri Feb 27 13:56:33 2015  lanczos halted after 12145 iterations (dim = 767901)
Fri Feb 27 13:56:34 2015  recovered 39 nontrivial dependencies
Fri Feb 27 13:56:34 2015  BLanczosTime: 1179
Fri Feb 27 13:56:34 2015  
Fri Feb 27 13:56:34 2015  commencing square root phase
Fri Feb 27 13:56:34 2015  reading relations for dependency 1
Fri Feb 27 13:56:34 2015  read 383879 cycles
Fri Feb 27 13:56:34 2015  cycles contain 1249998 unique relations
Fri Feb 27 13:56:43 2015  read 1249998 relations
Fri Feb 27 13:56:46 2015  multiplying 1249998 relations
Fri Feb 27 13:57:10 2015  multiply complete, coefficients have about 34.93 million bits
Fri Feb 27 13:57:10 2015  initial square root is modulo 103651
Fri Feb 27 13:57:41 2015  GCD is 1, no factor found
Fri Feb 27 13:57:41 2015  reading relations for dependency 2
Fri Feb 27 13:57:41 2015  read 383862 cycles
Fri Feb 27 13:57:41 2015  cycles contain 1251130 unique relations
Fri Feb 27 13:57:50 2015  read 1251130 relations
Fri Feb 27 13:57:53 2015  multiplying 1251130 relations
Fri Feb 27 13:58:18 2015  multiply complete, coefficients have about 34.96 million bits
Fri Feb 27 13:58:18 2015  initial square root is modulo 104681
Fri Feb 27 13:58:49 2015  sqrtTime: 135
--
n: 23325339870608007441710454561584639914033712478327617391841877000971684632409328527845356665795210558244415451348082472955802880662114909449
m: 1000000000000000000000000000000000
deg: 5
c5: 70
c0: 173
skew: 1.20
# Murphy_E = 2.461e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:08:37 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 37 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2015 10:04:14 UTC 2015 年 2 月 22 日 (日) 19 時 4 分 14 秒 (日本時間)

7×10168+1739

c141

name 名前Ignacio Santos
date 日付February 17, 2015 10:00:17 UTC 2015 年 2 月 17 日 (火) 19 時 0 分 17 秒 (日本時間)
composite number 合成数
431366567946077242041132128458312917472505821433503717575876660219828786195162384637175798161696312718111716103802913235556444489034778883431<141>
prime factors 素因数
5965338883426920248513094982538558713301713<43>
72312164719511998713143051228501147797515888678635628278497286246311088542762478909991332197128887<98>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:855862243
Step 1 took 10141ms
Step 2 took 6375ms
********** Factor found in step 2: 5965338883426920248513094982538558713301713
Found probable prime factor of 43 digits: 5965338883426920248513094982538558713301713
Probable prime cofactor 72312164719511998713143051228501147797515888678635628278497286246311088542762478909991332197128887 has 98 digits
 
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:37 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 37 秒 (日本時間)

7×10170+1739

c167

name 名前Cyp
date 日付February 18, 2015 12:37:28 UTC 2015 年 2 月 18 日 (水) 21 時 37 分 28 秒 (日本時間)
composite number 合成数
13109350712586849448470887877596119632189074292563252617188231548588872034009401277225312283461617693877933217221941307564095361162612131767702305372961027773095866809<167>
prime factors 素因数
1220949531115990812935337713579855996414876719119520729388173<61>
10737012774479254546895708899197621562420096665021046134094737693781203768430337433924922275649634573632733<107>
factorization results 素因数分解の結果
02/18/15 07:31:07 v1.34.3, 
02/18/15 07:31:07 v1.34.3, ****************************
02/18/15 07:31:07 v1.34.3, Starting factorization of 13109350712586849448470887877596119632189074292563252617188231548588872034009401277225312283461617693877933217221941307564095361162612131767702305372961027773095866809
02/18/15 07:31:07 v1.34.3, using pretesting plan: none
02/18/15 07:31:07 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/18/15 07:31:07 v1.34.3, ****************************
02/18/15 07:31:07 v1.34.3, nfs: commencing nfs on c167: 13109350712586849448470887877596119632189074292563252617188231548588872034009401277225312283461617693877933217221941307564095361162612131767702305372961027773095866809
02/18/15 07:31:07 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/18/15 07:31:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 07:35:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
[61 lines snipped]
02/18/15 12:36:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 12:41:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 12:45:57 v1.34.3, nfs: commencing msieve filtering
02/18/15 12:47:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 12:52:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 12:57:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 13:02:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 13:07:02 v1.34.3, nfs: commencing msieve filtering
02/18/15 13:09:10 v1.34.3, nfs: commencing msieve linear algebra
02/18/15 13:36:10 v1.34.3, nfs: commencing msieve sqrt
02/18/15 13:37:26 v1.34.3, prp61 = 1220949531115990812935337713579855996414876719119520729388173
02/18/15 13:37:26 v1.34.3, prp107 = 10737012774479254546895708899197621562420096665021046134094737693781203768430337433924922275649634573632733
02/18/15 13:37:26 v1.34.3, NFS elapsed time = 21979.3368 seconds.
02/18/15 13:37:26 v1.34.3, 
02/18/15 13:37:26 v1.34.3, 
02/18/15 13:37:26 v1.34.3, Total factoring time = 21979.3380 seconds
--
Wed Feb 18 12:45:57 2015  
Wed Feb 18 12:45:57 2015  commencing relation filtering
Wed Feb 18 12:45:57 2015  estimated available RAM is 15987.3 MB
Wed Feb 18 12:45:57 2015  commencing duplicate removal, pass 1
Wed Feb 18 12:46:26 2015  found 1337017 hash collisions in 10099140 relations
Wed Feb 18 12:46:35 2015  added 370854 free relations
Wed Feb 18 12:46:35 2015  commencing duplicate removal, pass 2
Wed Feb 18 12:46:43 2015  found 885494 duplicates and 9584500 unique relations
Wed Feb 18 12:46:43 2015  memory use: 41.3 MB
Wed Feb 18 12:46:43 2015  reading ideals above 100000
Wed Feb 18 12:46:43 2015  commencing singleton removal, initial pass
Wed Feb 18 12:47:26 2015  memory use: 344.5 MB
Wed Feb 18 12:47:26 2015  reading all ideals from disk
Wed Feb 18 12:47:26 2015  memory use: 348.3 MB
Wed Feb 18 12:47:27 2015  keeping 10900575 ideals with weight <= 200, target excess is 49232
Wed Feb 18 12:47:27 2015  commencing in-memory singleton removal
Wed Feb 18 12:47:28 2015  begin with 9584500 relations and 10900575 unique ideals
Wed Feb 18 12:47:31 2015  reduce to 3497525 relations and 3511587 ideals in 20 passes
Wed Feb 18 12:47:31 2015  max relations containing the same ideal: 101
Wed Feb 18 13:07:02 2015  
Wed Feb 18 13:07:02 2015  commencing relation filtering
Wed Feb 18 13:07:02 2015  estimated available RAM is 15987.3 MB
Wed Feb 18 13:07:02 2015  commencing duplicate removal, pass 1
Wed Feb 18 13:07:36 2015  found 1513157 hash collisions in 11057526 relations
Wed Feb 18 13:07:44 2015  added 1343 free relations
Wed Feb 18 13:07:44 2015  commencing duplicate removal, pass 2
Wed Feb 18 13:07:53 2015  found 976837 duplicates and 10082032 unique relations
Wed Feb 18 13:07:53 2015  memory use: 41.3 MB
Wed Feb 18 13:07:53 2015  reading ideals above 720000
Wed Feb 18 13:07:53 2015  commencing singleton removal, initial pass
Wed Feb 18 13:08:35 2015  memory use: 344.5 MB
Wed Feb 18 13:08:35 2015  reading all ideals from disk
Wed Feb 18 13:08:36 2015  memory use: 295.3 MB
Wed Feb 18 13:08:36 2015  commencing in-memory singleton removal
Wed Feb 18 13:08:37 2015  begin with 10082032 relations and 11029846 unique ideals
Wed Feb 18 13:08:40 2015  reduce to 4191656 relations and 3947722 ideals in 16 passes
Wed Feb 18 13:08:40 2015  max relations containing the same ideal: 72
Wed Feb 18 13:08:41 2015  removing 499459 relations and 444816 ideals in 54643 cliques
Wed Feb 18 13:08:41 2015  commencing in-memory singleton removal
Wed Feb 18 13:08:41 2015  begin with 3692197 relations and 3947722 unique ideals
Wed Feb 18 13:08:43 2015  reduce to 3638675 relations and 3448417 ideals in 10 passes
Wed Feb 18 13:08:43 2015  max relations containing the same ideal: 66
Wed Feb 18 13:08:44 2015  removing 372229 relations and 317586 ideals in 54643 cliques
Wed Feb 18 13:08:44 2015  commencing in-memory singleton removal
Wed Feb 18 13:08:44 2015  begin with 3266446 relations and 3448417 unique ideals
Wed Feb 18 13:08:45 2015  reduce to 3232610 relations and 3096440 ideals in 11 passes
Wed Feb 18 13:08:45 2015  max relations containing the same ideal: 61
Wed Feb 18 13:08:46 2015  relations with 0 large ideals: 2897
Wed Feb 18 13:08:46 2015  relations with 1 large ideals: 2373
Wed Feb 18 13:08:46 2015  relations with 2 large ideals: 32616
Wed Feb 18 13:08:46 2015  relations with 3 large ideals: 183558
Wed Feb 18 13:08:46 2015  relations with 4 large ideals: 544590
Wed Feb 18 13:08:46 2015  relations with 5 large ideals: 912267
Wed Feb 18 13:08:46 2015  relations with 6 large ideals: 902994
Wed Feb 18 13:08:46 2015  relations with 7+ large ideals: 651315
Wed Feb 18 13:08:46 2015  commencing 2-way merge
Wed Feb 18 13:08:47 2015  reduce to 1893660 relation sets and 1757490 unique ideals
Wed Feb 18 13:08:47 2015  commencing full merge
Wed Feb 18 13:09:03 2015  memory use: 202.0 MB
Wed Feb 18 13:09:04 2015  found 939698 cycles, need 921690
Wed Feb 18 13:09:04 2015  weight of 921690 cycles is about 64716488 (70.22/cycle)
Wed Feb 18 13:09:04 2015  distribution of cycle lengths:
Wed Feb 18 13:09:04 2015  1 relations: 118767
Wed Feb 18 13:09:04 2015  2 relations: 105870
Wed Feb 18 13:09:04 2015  3 relations: 102874
Wed Feb 18 13:09:04 2015  4 relations: 92382
Wed Feb 18 13:09:04 2015  5 relations: 83714
Wed Feb 18 13:09:04 2015  6 relations: 70836
Wed Feb 18 13:09:04 2015  7 relations: 62272
Wed Feb 18 13:09:04 2015  8 relations: 53630
Wed Feb 18 13:09:04 2015  9 relations: 46267
Wed Feb 18 13:09:04 2015  10+ relations: 185078
Wed Feb 18 13:09:04 2015  heaviest cycle: 22 relations
Wed Feb 18 13:09:04 2015  commencing cycle optimization
Wed Feb 18 13:09:05 2015  start with 5510571 relations
Wed Feb 18 13:09:09 2015  pruned 123703 relations
Wed Feb 18 13:09:09 2015  memory use: 183.8 MB
Wed Feb 18 13:09:09 2015  distribution of cycle lengths:
Wed Feb 18 13:09:09 2015  1 relations: 118767
Wed Feb 18 13:09:09 2015  2 relations: 108068
Wed Feb 18 13:09:09 2015  3 relations: 106269
Wed Feb 18 13:09:09 2015  4 relations: 94643
Wed Feb 18 13:09:09 2015  5 relations: 85303
Wed Feb 18 13:09:09 2015  6 relations: 71705
Wed Feb 18 13:09:09 2015  7 relations: 62832
Wed Feb 18 13:09:09 2015  8 relations: 53547
Wed Feb 18 13:09:09 2015  9 relations: 45956
Wed Feb 18 13:09:09 2015  10+ relations: 174600
Wed Feb 18 13:09:09 2015  heaviest cycle: 22 relations
Wed Feb 18 13:09:10 2015  RelProcTime: 128
Wed Feb 18 13:09:10 2015  
Wed Feb 18 13:09:10 2015  commencing linear algebra
Wed Feb 18 13:09:10 2015  read 921690 cycles
Wed Feb 18 13:09:11 2015  cycles contain 3092007 unique relations
Wed Feb 18 13:09:25 2015  read 3092007 relations
Wed Feb 18 13:09:27 2015  using 20 quadratic characters above 134216900
Wed Feb 18 13:09:37 2015  building initial matrix
Wed Feb 18 13:09:53 2015  memory use: 377.1 MB
Wed Feb 18 13:09:53 2015  read 921690 cycles
Wed Feb 18 13:09:53 2015  matrix is 921507 x 921690 (276.6 MB) with weight 82256277 (89.25/col)
Wed Feb 18 13:09:53 2015  sparse part has weight 62361961 (67.66/col)
Wed Feb 18 13:09:58 2015  filtering completed in 2 passes
Wed Feb 18 13:09:58 2015  matrix is 919066 x 919250 (276.3 MB) with weight 82164249 (89.38/col)
Wed Feb 18 13:09:58 2015  sparse part has weight 62324257 (67.80/col)
Wed Feb 18 13:10:00 2015  matrix starts at (0, 0)
Wed Feb 18 13:10:01 2015  matrix is 919066 x 919250 (276.3 MB) with weight 82164249 (89.38/col)
Wed Feb 18 13:10:01 2015  sparse part has weight 62324257 (67.80/col)
Wed Feb 18 13:10:01 2015  saving the first 48 matrix rows for later
Wed Feb 18 13:10:01 2015  matrix includes 64 packed rows
Wed Feb 18 13:10:01 2015  matrix is 919018 x 919250 (262.0 MB) with weight 65037653 (70.75/col)
Wed Feb 18 13:10:01 2015  sparse part has weight 59490878 (64.72/col)
Wed Feb 18 13:10:01 2015  using block size 65536 for processor cache size 8192 kB
Wed Feb 18 13:10:03 2015  commencing Lanczos iteration (8 threads)
Wed Feb 18 13:10:03 2015  memory use: 255.2 MB
Wed Feb 18 13:10:08 2015  linear algebra at 0.3%, ETA 0h25m
Wed Feb 18 13:36:09 2015  lanczos halted after 14533 iterations (dim = 919014)
Wed Feb 18 13:36:10 2015  recovered 32 nontrivial dependencies
Wed Feb 18 13:36:10 2015  BLanczosTime: 1620
Wed Feb 18 13:36:10 2015  
Wed Feb 18 13:36:10 2015  commencing square root phase
Wed Feb 18 13:36:10 2015  reading relations for dependency 1
Wed Feb 18 13:36:10 2015  read 460147 cycles
Wed Feb 18 13:36:11 2015  cycles contain 1545442 unique relations
Wed Feb 18 13:36:21 2015  read 1545442 relations
Wed Feb 18 13:36:24 2015  multiplying 1545442 relations
Wed Feb 18 13:36:52 2015  multiply complete, coefficients have about 38.73 million bits
Wed Feb 18 13:36:52 2015  initial square root is modulo 363361
Wed Feb 18 13:37:26 2015  sqrtTime: 76
--
n: 13109350712586849448470887877596119632189074292563252617188231548588872034009401277225312283461617693877933217221941307564095361162612131767702305372961027773095866809
m: 10000000000000000000000000000000000
deg: 5
c5: 7
c0: 173
skew: 1.90
# Murphy_E = 2.201e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:08:38 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 38 秒 (日本時間)
1CypJanuary 9, 2015 01:07:30 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 30 秒 (日本時間)
2350Ignacio SantosFebruary 8, 2015 10:19:59 UTC 2015 年 2 月 8 日 (日) 19 時 19 分 59 秒 (日本時間)

7×10171+1739

c147

name 名前Daniel Morel
date 日付April 22, 2015 00:35:38 UTC 2015 年 4 月 22 日 (水) 9 時 35 分 38 秒 (日本時間)
composite number 合成数
418093998766071911170613083929959312780936300937871060910730861374782753369120338889395392205084330052921722912199770499066719759163137653424222187<147>
prime factors 素因数
1445375538699693141425110695187466001686748649812463<52>
289263231299875791978170717305184853216435157966917592863541403821147925474694823698716393860549<96>
factorization results 素因数分解の結果
Polynomial: 70 X^5 + 173 ; m = 10^34
rlim = alim = 6000000
lpbr = lpba = 27
mfbr = mfba = 48
rlambda = alambda = 2.6
skew = 1
qIntSize = 100000

Initial matrix: 826382 x 1010302
Pruned matrix: 67069 x 677264

time: 4 days 12 hours or so

p52 = 1445375538699693141425110695187466001686748649812463
p96 = 289263231299875791978170717305184853216435157966917592863541403821147925474694823698716393860549
software ソフトウェア
GGNFS-0.77.1
execution environment 実行環境
Windows 7, Intel Core I5 3.2 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:08:38 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 38 秒 (日本時間)
1CypJanuary 9, 2015 00:55:20 UTC 2015 年 1 月 9 日 (金) 9 時 55 分 20 秒 (日本時間)
2350Ignacio SantosFebruary 15, 2015 18:50:00 UTC 2015 年 2 月 16 日 (月) 3 時 50 分 0 秒 (日本時間)

7×10172+1739

c121

name 名前Cyp
date 日付January 9, 2015 01:21:35 UTC 2015 年 1 月 9 日 (金) 10 時 21 分 35 秒 (日本時間)
composite number 合成数
2255126940061631637086636814395205352691924340229110854096819449506354261592542015306283491407645358464982416864264528201<121>
prime factors 素因数
70197697012653184608458895409<29>
32125369293171304591448685832960320991170504140628204583677551557441273959905511929071195289<92>
factorization results 素因数分解の結果
Input number is 2255126940061631637086636814395205352691924340229110854096819449506354261592542015306283491407645358464982416864264528201 (121 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2136242536
Step 1 took 6516ms
********** Factor found in step 1: 70197697012653184608458895409
Found probable prime factor of 29 digits: 70197697012653184608458895409
Probable prime cofactor 32125369293171304591448685832960320991170504140628204583677551557441273959905511929071195289 has 92 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 902Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e61 / 2318CypJanuary 9, 2015 01:21:34 UTC 2015 年 1 月 9 日 (金) 10 時 21 分 34 秒 (日本時間)

7×10175+1739

c148

name 名前Jo Yeong Uk
date 日付May 21, 2015 12:45:55 UTC 2015 年 5 月 21 日 (木) 21 時 45 分 55 秒 (日本時間)
composite number 合成数
1966983239402659124907631549864645296757007252597132168026982192290056042041286053491299506241962356868065310159336776695669814869167409924874772407<148>
prime factors 素因数
56179998088049722060746417684012301719702377145431078020542484159823<68>
35012162804275071730077448681506431237746965578898170039559098329124651021258009<80>
factorization results 素因数分解の結果
Number: 77797_175
N=1966983239402659124907631549864645296757007252597132168026982192290056042041286053491299506241962356868065310159336776695669814869167409924874772407
  ( 148 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=56179998088049722060746417684012301719702377145431078020542484159823
 r2=35012162804275071730077448681506431237746965578898170039559098329124651021258009
Version: 
Total time: 32.65 hours.
Scaled time: 170.22 units (timescale=5.214).
Factorization parameters were as follows:
n: 1966983239402659124907631549864645296757007252597132168026982192290056042041286053491299506241962356868065310159336776695669814869167409924874772407
m: 100000000000000000000000000000000000
deg: 5
c5: 7
c0: 173
skew: 1.90
# Murphy_E = 1.391e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3700000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16408537
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1195626 x 1195874
Total sieving time: 29.39 hours.
Total relation processing time: 1.52 hours.
Matrix solve time: 1.59 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,52,52,2.5,2.5,100000
total time: 32.65 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:39 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 39 秒 (日本時間)
1CypJanuary 9, 2015 00:15:00 UTC 2015 年 1 月 9 日 (金) 9 時 15 分 0 秒 (日本時間)
4511e6585 / 4409CypFebruary 6, 2015 09:07:35 UTC 2015 年 2 月 6 日 (金) 18 時 7 分 35 秒 (日本時間)

7×10179+1739

c151

name 名前Jo Yeong Uk
date 日付December 14, 2015 08:30:52 UTC 2015 年 12 月 14 日 (月) 17 時 30 分 52 秒 (日本時間)
composite number 合成数
2904174928905186767441379956330556250266982489169979740865694944926658306879188363370271386198197885931418736607447653848580301684856525755977376168931<151>
prime factors 素因数
19322795360021148435818464058417528584565861<44>
150297867094008710893137061714736198316558804819942765487852445121731060942116241783326372718917694512264871<108>
factorization results 素因数分解の結果
Number: 77797_179
N=2904174928905186767441379956330556250266982489169979740865694944926658306879188363370271386198197885931418736607447653848580301684856525755977376168931
  ( 151 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=19322795360021148435818464058417528584565861
 r2=150297867094008710893137061714736198316558804819942765487852445121731060942116241783326372718917694512264871
Version: 
Total time: 60.63 hours.
Scaled time: 318.27 units (timescale=5.249).
Factorization parameters were as follows:
n: 2904174928905186767441379956330556250266982489169979740865694944926658306879188363370271386198197885931418736607447653848580301684856525755977376168931
m: 1000000000000000000000000000000000000
deg: 5
c5: 7
c0: 1730
skew: 3.01
# Murphy_E = 6.874e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2900000, 5800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18252625
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1375836 x 1376084
Total sieving time: 56.90 hours.
Total relation processing time: 1.36 hours.
Matrix solve time: 2.20 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000
total time: 60.63 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:40 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 40 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 10, 2015 06:57:22 UTC 2015 年 5 月 10 日 (日) 15 時 57 分 22 秒 (日本時間)

7×10181+1739

c116

name 名前Cyp
date 日付January 11, 2015 17:39:39 UTC 2015 年 1 月 12 日 (月) 2 時 39 分 39 秒 (日本時間)
composite number 合成数
45584316764998100220663638113465080746330998074485526631980363651288296628269929740726454517522684633032125288491167<116>
prime factors 素因数
1679862561694451657657217997363890788052800937864053904239<58>
27135741818674676286762436946251667088045917712566730073553<59>
factorization results 素因数分解の結果
01/11/15 14:45:52 v1.34.3, 
01/11/15 14:45:52 v1.34.3, ****************************
01/11/15 14:45:52 v1.34.3, Starting factorization of 45584316764998100220663638113465080746330998074485526631980363651288296628269929740726454517522684633032125288491167
01/11/15 14:45:52 v1.34.3, using pretesting plan: none
01/11/15 14:45:52 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/11/15 14:45:52 v1.34.3, ****************************
01/11/15 14:45:52 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C116
01/11/15 14:45:52 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C116
01/11/15 14:45:52 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C116
01/11/15 14:45:52 v1.34.3, final ECM pretested depth: 0.00
01/11/15 14:45:52 v1.34.3, scheduler: switching to sieve method
01/11/15 14:45:52 v1.34.3, nfs: commencing nfs on c116: 45584316764998100220663638113465080746330998074485526631980363651288296628269929740726454517522684633032125288491167
01/11/15 14:45:52 v1.34.3, nfs: commencing poly selection with 8 threads
01/11/15 14:45:52 v1.34.3, nfs: setting deadline of 1012 seconds
01/11/15 15:03:17 v1.34.3, nfs: completed 158 ranges of size 250 in 1045.2631 seconds
01/11/15 15:03:17 v1.34.3, nfs: best poly = # norm 5.160449e-11 alpha -7.055285 e 4.860e-10 rroots 5
01/11/15 15:03:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 15:09:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
[24 lines snipped]
01/11/15 17:43:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 17:57:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 18:08:32 v1.34.3, nfs: commencing msieve filtering
01/11/15 18:12:34 v1.34.3, nfs: commencing msieve linear algebra
01/11/15 18:34:07 v1.34.3, nfs: commencing msieve sqrt
01/11/15 18:39:38 v1.34.3, prp59 = 27135741818674676286762436946251667088045917712566730073553
01/11/15 18:39:38 v1.34.3, prp58 = 1679862561694451657657217997363890788052800937864053904239
01/11/15 18:39:38 v1.34.3, NFS elapsed time = 14025.7543 seconds.
01/11/15 18:39:38 v1.34.3, 
01/11/15 18:39:38 v1.34.3, 
01/11/15 18:39:38 v1.34.3, Total factoring time = 14025.7911 seconds
--
Sun Jan 11 18:08:32 2015  
Sun Jan 11 18:08:32 2015  commencing relation filtering
Sun Jan 11 18:08:32 2015  estimated available RAM is 15987.3 MB
Sun Jan 11 18:08:32 2015  commencing duplicate removal, pass 1
Sun Jan 11 18:09:39 2015  found 1554584 hash collisions in 10260212 relations
Sun Jan 11 18:09:58 2015  added 62647 free relations
Sun Jan 11 18:09:58 2015  commencing duplicate removal, pass 2
Sun Jan 11 18:10:12 2015  found 477384 duplicates and 9845475 unique relations
Sun Jan 11 18:10:12 2015  memory use: 66.6 MB
Sun Jan 11 18:10:12 2015  reading ideals above 100000
Sun Jan 11 18:10:13 2015  commencing singleton removal, initial pass
Sun Jan 11 18:11:44 2015  memory use: 344.5 MB
Sun Jan 11 18:11:44 2015  reading all ideals from disk
Sun Jan 11 18:11:44 2015  memory use: 342.0 MB
Sun Jan 11 18:11:45 2015  keeping 10707671 ideals with weight <= 200, target excess is 50430
Sun Jan 11 18:11:46 2015  commencing in-memory singleton removal
Sun Jan 11 18:11:47 2015  begin with 9845475 relations and 10707671 unique ideals
Sun Jan 11 18:11:57 2015  reduce to 3657090 relations and 3383557 ideals in 20 passes
Sun Jan 11 18:11:57 2015  max relations containing the same ideal: 104
Sun Jan 11 18:11:59 2015  removing 763810 relations and 656293 ideals in 107517 cliques
Sun Jan 11 18:11:59 2015  commencing in-memory singleton removal
Sun Jan 11 18:11:59 2015  begin with 2893280 relations and 3383557 unique ideals
Sun Jan 11 18:12:03 2015  reduce to 2761144 relations and 2589825 ideals in 11 passes
Sun Jan 11 18:12:03 2015  max relations containing the same ideal: 85
Sun Jan 11 18:12:04 2015  removing 574081 relations and 466564 ideals in 107517 cliques
Sun Jan 11 18:12:05 2015  commencing in-memory singleton removal
Sun Jan 11 18:12:05 2015  begin with 2187063 relations and 2589825 unique ideals
Sun Jan 11 18:12:07 2015  reduce to 2084115 relations and 2016075 ideals in 9 passes
Sun Jan 11 18:12:07 2015  max relations containing the same ideal: 72
Sun Jan 11 18:12:08 2015  removing 85050 relations and 75509 ideals in 9541 cliques
Sun Jan 11 18:12:08 2015  commencing in-memory singleton removal
Sun Jan 11 18:12:08 2015  begin with 1999065 relations and 2016075 unique ideals
Sun Jan 11 18:12:09 2015  reduce to 1996395 relations and 1937883 ideals in 6 passes
Sun Jan 11 18:12:09 2015  max relations containing the same ideal: 69
Sun Jan 11 18:12:10 2015  relations with 0 large ideals: 152
Sun Jan 11 18:12:10 2015  relations with 1 large ideals: 585
Sun Jan 11 18:12:10 2015  relations with 2 large ideals: 8930
Sun Jan 11 18:12:10 2015  relations with 3 large ideals: 63945
Sun Jan 11 18:12:10 2015  relations with 4 large ideals: 238407
Sun Jan 11 18:12:10 2015  relations with 5 large ideals: 494999
Sun Jan 11 18:12:10 2015  relations with 6 large ideals: 591726
Sun Jan 11 18:12:10 2015  relations with 7+ large ideals: 597651
Sun Jan 11 18:12:10 2015  commencing 2-way merge
Sun Jan 11 18:12:11 2015  reduce to 1123662 relation sets and 1065149 unique ideals
Sun Jan 11 18:12:11 2015  commencing full merge
Sun Jan 11 18:12:27 2015  memory use: 121.6 MB
Sun Jan 11 18:12:27 2015  found 564921 cycles, need 557349
Sun Jan 11 18:12:28 2015  weight of 557349 cycles is about 39139310 (70.22/cycle)
Sun Jan 11 18:12:28 2015  distribution of cycle lengths:
Sun Jan 11 18:12:28 2015  1 relations: 64161
Sun Jan 11 18:12:28 2015  2 relations: 62143
Sun Jan 11 18:12:28 2015  3 relations: 61592
Sun Jan 11 18:12:28 2015  4 relations: 56039
Sun Jan 11 18:12:28 2015  5 relations: 51886
Sun Jan 11 18:12:28 2015  6 relations: 44638
Sun Jan 11 18:12:28 2015  7 relations: 40134
Sun Jan 11 18:12:28 2015  8 relations: 34873
Sun Jan 11 18:12:28 2015  9 relations: 30022
Sun Jan 11 18:12:28 2015  10+ relations: 111861
Sun Jan 11 18:12:28 2015  heaviest cycle: 21 relations
Sun Jan 11 18:12:28 2015  commencing cycle optimization
Sun Jan 11 18:12:29 2015  start with 3368433 relations
Sun Jan 11 18:12:33 2015  pruned 65607 relations
Sun Jan 11 18:12:33 2015  memory use: 114.8 MB
Sun Jan 11 18:12:33 2015  distribution of cycle lengths:
Sun Jan 11 18:12:33 2015  1 relations: 64161
Sun Jan 11 18:12:33 2015  2 relations: 63341
Sun Jan 11 18:12:33 2015  3 relations: 63438
Sun Jan 11 18:12:33 2015  4 relations: 57072
Sun Jan 11 18:12:33 2015  5 relations: 52734
Sun Jan 11 18:12:33 2015  6 relations: 45317
Sun Jan 11 18:12:33 2015  7 relations: 40509
Sun Jan 11 18:12:33 2015  8 relations: 34814
Sun Jan 11 18:12:33 2015  9 relations: 29921
Sun Jan 11 18:12:33 2015  10+ relations: 106042
Sun Jan 11 18:12:33 2015  heaviest cycle: 21 relations
Sun Jan 11 18:12:34 2015  RelProcTime: 242
Sun Jan 11 18:12:34 2015  
Sun Jan 11 18:12:34 2015  commencing linear algebra
Sun Jan 11 18:12:34 2015  read 557349 cycles
Sun Jan 11 18:12:35 2015  cycles contain 1944028 unique relations
Sun Jan 11 18:12:52 2015  read 1944028 relations
Sun Jan 11 18:12:54 2015  using 20 quadratic characters above 134216574
Sun Jan 11 18:13:04 2015  building initial matrix
Sun Jan 11 18:13:27 2015  memory use: 245.4 MB
Sun Jan 11 18:13:28 2015  read 557349 cycles
Sun Jan 11 18:13:28 2015  matrix is 557172 x 557349 (169.3 MB) with weight 53883917 (96.68/col)
Sun Jan 11 18:13:28 2015  sparse part has weight 37685478 (67.62/col)
Sun Jan 11 18:13:32 2015  filtering completed in 2 passes
Sun Jan 11 18:13:32 2015  matrix is 556451 x 556628 (169.2 MB) with weight 53853946 (96.75/col)
Sun Jan 11 18:13:32 2015  sparse part has weight 37677267 (67.69/col)
Sun Jan 11 18:13:34 2015  matrix starts at (0, 0)
Sun Jan 11 18:13:34 2015  matrix is 556451 x 556628 (169.2 MB) with weight 53853946 (96.75/col)
Sun Jan 11 18:13:34 2015  sparse part has weight 37677267 (67.69/col)
Sun Jan 11 18:13:34 2015  saving the first 48 matrix rows for later
Sun Jan 11 18:13:34 2015  matrix includes 64 packed rows
Sun Jan 11 18:13:34 2015  matrix is 556403 x 556628 (162.6 MB) with weight 42827255 (76.94/col)
Sun Jan 11 18:13:34 2015  sparse part has weight 37047304 (66.56/col)
Sun Jan 11 18:13:34 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 11 18:13:37 2015  commencing Lanczos iteration (8 threads)
Sun Jan 11 18:13:37 2015  memory use: 154.2 MB
Sun Jan 11 18:13:44 2015  linear algebra at 0.5%, ETA 0h21m
Sun Jan 11 18:34:06 2015  lanczos halted after 8799 iterations (dim = 556402)
Sun Jan 11 18:34:07 2015  recovered 30 nontrivial dependencies
Sun Jan 11 18:34:07 2015  BLanczosTime: 1293
Sun Jan 11 18:34:07 2015  
Sun Jan 11 18:34:07 2015  commencing square root phase
Sun Jan 11 18:34:07 2015  reading relations for dependency 1
Sun Jan 11 18:34:07 2015  read 278179 cycles
Sun Jan 11 18:34:07 2015  cycles contain 970466 unique relations
Sun Jan 11 18:34:23 2015  read 970466 relations
Sun Jan 11 18:34:28 2015  multiplying 970466 relations
Sun Jan 11 18:35:33 2015  multiply complete, coefficients have about 41.90 million bits
Sun Jan 11 18:35:33 2015  initial square root is modulo 1036619
Sun Jan 11 18:36:47 2015  GCD is N, no factor found
Sun Jan 11 18:36:47 2015  reading relations for dependency 2
Sun Jan 11 18:36:47 2015  read 278911 cycles
Sun Jan 11 18:36:47 2015  cycles contain 972370 unique relations
Sun Jan 11 18:37:03 2015  read 972370 relations
Sun Jan 11 18:37:08 2015  multiplying 972370 relations
Sun Jan 11 18:38:14 2015  multiply complete, coefficients have about 41.98 million bits
Sun Jan 11 18:38:15 2015  initial square root is modulo 1065137
Sun Jan 11 18:39:38 2015  sqrtTime: 331
--
n: 45584316764998100220663638113465080746330998074485526631980363651288296628269929740726454517522684633032125288491167
skew: 140369.91
c0: 10428522995594447725350313700
c1: 1945185677398295405784810
c2: -67175973534508760928
c3: -42859388284161
c4: 2814547294
c5: 4200
Y0: -25533644888245596800241
Y1: 183272678963
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 10, 2015 13:08:35 UTC 2015 年 1 月 10 日 (土) 22 時 8 分 35 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 10, 2015 13:08:35 UTC 2015 年 1 月 10 日 (土) 22 時 8 分 35 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 10, 2015 13:08:35 UTC 2015 年 1 月 10 日 (土) 22 時 8 分 35 秒 (日本時間)

7×10184+1739

c184

name 名前Cyp
date 日付March 3, 2015 10:10:36 UTC 2015 年 3 月 3 日 (火) 19 時 10 分 36 秒 (日本時間)
composite number 合成数
2592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592599<184>
prime factors 素因数
35180801810225065793305667859321654023390303<44>
73693391258611758485887339357876588769172724702259856512254596320274750535692785626060081295808311379226182628438199196420048742380212484233<140>
factorization results 素因数分解の結果
03/02/15 08:13:10 v1.34.3, 
03/02/15 08:13:10 v1.34.3, ****************************
03/02/15 08:13:10 v1.34.3, Starting factorization of 2592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592599
03/02/15 08:13:10 v1.34.3, using pretesting plan: none
03/02/15 08:13:10 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/02/15 08:13:10 v1.34.3, ****************************
03/02/15 08:13:10 v1.34.3, nfs: commencing nfs on c184: 2592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592599
03/02/15 08:13:10 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/02/15 08:13:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/02/15 08:41:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
[49 lines snipped]
03/03/15 08:49:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/03/15 09:18:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/03/15 09:48:03 v1.34.3, nfs: commencing msieve filtering
03/03/15 09:52:23 v1.34.3, nfs: commencing msieve linear algebra
03/03/15 11:02:16 v1.34.3, nfs: commencing msieve sqrt
03/03/15 11:10:35 v1.34.3, prp140 = 73693391258611758485887339357876588769172724702259856512254596320274750535692785626060081295808311379226182628438199196420048742380212484233
03/03/15 11:10:35 v1.34.3, prp44 = 35180801810225065793305667859321654023390303
03/03/15 11:10:35 v1.34.3, NFS elapsed time = 97045.0138 seconds.
03/03/15 11:10:35 v1.34.3, 
03/03/15 11:10:35 v1.34.3, 
03/03/15 11:10:35 v1.34.3, Total factoring time = 97045.0159 seconds
--
Tue Mar  3 09:48:03 2015  
Tue Mar  3 09:48:03 2015  commencing relation filtering
Tue Mar  3 09:48:03 2015  estimated available RAM is 15987.3 MB
Tue Mar  3 09:48:03 2015  commencing duplicate removal, pass 1
Tue Mar  3 09:49:07 2015  found 2756801 hash collisions in 21299296 relations
Tue Mar  3 09:49:26 2015  added 719476 free relations
Tue Mar  3 09:49:26 2015  commencing duplicate removal, pass 2
Tue Mar  3 09:49:44 2015  found 1705318 duplicates and 20313454 unique relations
Tue Mar  3 09:49:44 2015  memory use: 82.6 MB
Tue Mar  3 09:49:44 2015  reading ideals above 720000
Tue Mar  3 09:49:44 2015  commencing singleton removal, initial pass
Tue Mar  3 09:51:15 2015  memory use: 689.0 MB
Tue Mar  3 09:51:15 2015  reading all ideals from disk
Tue Mar  3 09:51:15 2015  memory use: 650.7 MB
Tue Mar  3 09:51:16 2015  keeping 21672716 ideals with weight <= 200, target excess is 117202
Tue Mar  3 09:51:17 2015  commencing in-memory singleton removal
Tue Mar  3 09:51:18 2015  begin with 20313454 relations and 21672716 unique ideals
Tue Mar  3 09:51:27 2015  reduce to 9226204 relations and 8443452 ideals in 17 passes
Tue Mar  3 09:51:27 2015  max relations containing the same ideal: 118
Tue Mar  3 09:51:30 2015  removing 1876552 relations and 1553153 ideals in 323399 cliques
Tue Mar  3 09:51:30 2015  commencing in-memory singleton removal
Tue Mar  3 09:51:31 2015  begin with 7349652 relations and 8443452 unique ideals
Tue Mar  3 09:51:34 2015  reduce to 7016751 relations and 6542318 ideals in 9 passes
Tue Mar  3 09:51:34 2015  max relations containing the same ideal: 98
Tue Mar  3 09:51:36 2015  removing 1476284 relations and 1152885 ideals in 323399 cliques
Tue Mar  3 09:51:36 2015  commencing in-memory singleton removal
Tue Mar  3 09:51:36 2015  begin with 5540467 relations and 6542318 unique ideals
Tue Mar  3 09:51:39 2015  reduce to 5273188 relations and 5109634 ideals in 12 passes
Tue Mar  3 09:51:39 2015  max relations containing the same ideal: 83
Tue Mar  3 09:51:41 2015  removing 215538 relations and 187939 ideals in 27599 cliques
Tue Mar  3 09:51:41 2015  commencing in-memory singleton removal
Tue Mar  3 09:51:41 2015  begin with 5057650 relations and 5109634 unique ideals
Tue Mar  3 09:51:43 2015  reduce to 5051737 relations and 4915758 ideals in 6 passes
Tue Mar  3 09:51:43 2015  max relations containing the same ideal: 79
Tue Mar  3 09:51:43 2015  relations with 0 large ideals: 2901
Tue Mar  3 09:51:43 2015  relations with 1 large ideals: 741
Tue Mar  3 09:51:43 2015  relations with 2 large ideals: 14120
Tue Mar  3 09:51:43 2015  relations with 3 large ideals: 108745
Tue Mar  3 09:51:43 2015  relations with 4 large ideals: 441418
Tue Mar  3 09:51:43 2015  relations with 5 large ideals: 1029922
Tue Mar  3 09:51:43 2015  relations with 6 large ideals: 1478790
Tue Mar  3 09:51:43 2015  relations with 7+ large ideals: 1975100
Tue Mar  3 09:51:43 2015  commencing 2-way merge
Tue Mar  3 09:51:45 2015  reduce to 2984898 relation sets and 2848919 unique ideals
Tue Mar  3 09:51:45 2015  commencing full merge
Tue Mar  3 09:52:12 2015  memory use: 345.5 MB
Tue Mar  3 09:52:12 2015  found 1549442 cycles, need 1531119
Tue Mar  3 09:52:13 2015  weight of 1531119 cycles is about 107350722 (70.11/cycle)
Tue Mar  3 09:52:13 2015  distribution of cycle lengths:
Tue Mar  3 09:52:13 2015  1 relations: 189944
Tue Mar  3 09:52:13 2015  2 relations: 179054
Tue Mar  3 09:52:13 2015  3 relations: 179151
Tue Mar  3 09:52:13 2015  4 relations: 165495
Tue Mar  3 09:52:13 2015  5 relations: 150706
Tue Mar  3 09:52:13 2015  6 relations: 132484
Tue Mar  3 09:52:13 2015  7 relations: 114582
Tue Mar  3 09:52:13 2015  8 relations: 97175
Tue Mar  3 09:52:13 2015  9 relations: 79529
Tue Mar  3 09:52:13 2015  10+ relations: 242999
Tue Mar  3 09:52:13 2015  heaviest cycle: 20 relations
Tue Mar  3 09:52:13 2015  commencing cycle optimization
Tue Mar  3 09:52:14 2015  start with 8540214 relations
Tue Mar  3 09:52:21 2015  pruned 173439 relations
Tue Mar  3 09:52:21 2015  memory use: 292.0 MB
Tue Mar  3 09:52:21 2015  distribution of cycle lengths:
Tue Mar  3 09:52:21 2015  1 relations: 189944
Tue Mar  3 09:52:21 2015  2 relations: 182533
Tue Mar  3 09:52:21 2015  3 relations: 184662
Tue Mar  3 09:52:21 2015  4 relations: 168841
Tue Mar  3 09:52:21 2015  5 relations: 153683
Tue Mar  3 09:52:21 2015  6 relations: 134115
Tue Mar  3 09:52:21 2015  7 relations: 115325
Tue Mar  3 09:52:21 2015  8 relations: 97066
Tue Mar  3 09:52:21 2015  9 relations: 78722
Tue Mar  3 09:52:21 2015  10+ relations: 226228
Tue Mar  3 09:52:21 2015  heaviest cycle: 20 relations
Tue Mar  3 09:52:22 2015  RelProcTime: 259
Tue Mar  3 09:52:23 2015  
Tue Mar  3 09:52:23 2015  commencing linear algebra
Tue Mar  3 09:52:23 2015  read 1531119 cycles
Tue Mar  3 09:52:24 2015  cycles contain 4941640 unique relations
Tue Mar  3 09:52:50 2015  read 4941640 relations
Tue Mar  3 09:52:54 2015  using 20 quadratic characters above 268434374
Tue Mar  3 09:53:09 2015  building initial matrix
Tue Mar  3 09:53:36 2015  memory use: 619.4 MB
Tue Mar  3 09:53:37 2015  read 1531119 cycles
Tue Mar  3 09:53:37 2015  matrix is 1530971 x 1531119 (460.9 MB) with weight 134957763 (88.14/col)
Tue Mar  3 09:53:37 2015  sparse part has weight 103969033 (67.90/col)
Tue Mar  3 09:53:45 2015  filtering completed in 2 passes
Tue Mar  3 09:53:45 2015  matrix is 1529472 x 1529643 (460.7 MB) with weight 134914018 (88.20/col)
Tue Mar  3 09:53:45 2015  sparse part has weight 103954884 (67.96/col)
Tue Mar  3 09:53:49 2015  matrix starts at (0, 0)
Tue Mar  3 09:53:49 2015  matrix is 1529472 x 1529643 (460.7 MB) with weight 134914018 (88.20/col)
Tue Mar  3 09:53:49 2015  sparse part has weight 103954884 (67.96/col)
Tue Mar  3 09:53:49 2015  saving the first 48 matrix rows for later
Tue Mar  3 09:53:50 2015  matrix includes 64 packed rows
Tue Mar  3 09:53:50 2015  matrix is 1529424 x 1529643 (436.1 MB) with weight 107388178 (70.20/col)
Tue Mar  3 09:53:50 2015  sparse part has weight 99017345 (64.73/col)
Tue Mar  3 09:53:50 2015  using block size 65536 for processor cache size 8192 kB
Tue Mar  3 09:53:53 2015  commencing Lanczos iteration (8 threads)
Tue Mar  3 09:53:53 2015  memory use: 428.8 MB
Tue Mar  3 09:53:57 2015  linear algebra at 0.1%, ETA 1h 7m
Tue Mar  3 09:53:59 2015  checkpointing every 1220000 dimensions
Tue Mar  3 11:02:14 2015  lanczos halted after 24191 iterations (dim = 1529424)
Tue Mar  3 11:02:16 2015  recovered 38 nontrivial dependencies
Tue Mar  3 11:02:16 2015  BLanczosTime: 4193
Tue Mar  3 11:02:16 2015  
Tue Mar  3 11:02:16 2015  commencing square root phase
Tue Mar  3 11:02:16 2015  reading relations for dependency 1
Tue Mar  3 11:02:16 2015  read 764547 cycles
Tue Mar  3 11:02:16 2015  cycles contain 2470614 unique relations
Tue Mar  3 11:02:37 2015  read 2470614 relations
Tue Mar  3 11:02:43 2015  multiplying 2470614 relations
Tue Mar  3 11:03:45 2015  multiply complete, coefficients have about 74.76 million bits
Tue Mar  3 11:03:45 2015  initial square root is modulo 232621
Tue Mar  3 11:05:02 2015  GCD is N, no factor found
Tue Mar  3 11:05:02 2015  reading relations for dependency 2
Tue Mar  3 11:05:02 2015  read 765841 cycles
Tue Mar  3 11:05:02 2015  cycles contain 2471978 unique relations
Tue Mar  3 11:05:23 2015  read 2471978 relations
Tue Mar  3 11:05:30 2015  multiplying 2471978 relations
Tue Mar  3 11:06:31 2015  multiply complete, coefficients have about 74.81 million bits
Tue Mar  3 11:06:31 2015  initial square root is modulo 234331
Tue Mar  3 11:07:49 2015  GCD is N, no factor found
Tue Mar  3 11:07:49 2015  reading relations for dependency 3
Tue Mar  3 11:07:49 2015  read 764957 cycles
Tue Mar  3 11:07:49 2015  cycles contain 2470826 unique relations
Tue Mar  3 11:08:10 2015  read 2470826 relations
Tue Mar  3 11:08:16 2015  multiplying 2470826 relations
Tue Mar  3 11:09:17 2015  multiply complete, coefficients have about 74.77 million bits
Tue Mar  3 11:09:18 2015  initial square root is modulo 233021
Tue Mar  3 11:10:34 2015  sqrtTime: 498
--
n: 2592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592599
m: 5000000000000000000000000000000000000
deg: 5
c5: 112
c0: 865
skew: 1.51
# Murphy_E = 4.311e-11
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:08:40 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 40 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:47 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 47 秒 (日本時間)
4511e6436KTakahashiFebruary 18, 2015 09:17:43 UTC 2015 年 2 月 18 日 (水) 18 時 17 分 43 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:47 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 47 秒 (日本時間)

7×10186+1739

c140

name 名前Erik Branger
date 日付January 12, 2017 16:26:03 UTC 2017 年 1 月 13 日 (金) 1 時 26 分 3 秒 (日本時間)
composite number 合成数
98122031079512116074547857472353246194451409089929645488712197624346485162150881139149790114178886060658377551984132700205784965868603649211<140>
prime factors 素因数
44806686569622453054109355433772940509201640190932374595333<59>
2189897057597555467276738724789787888843027537539784460694321774656451456622514367<82>
factorization results 素因数分解の結果
Number: 77797_186
N = 98122031079512116074547857472353246194451409089929645488712197624346485162150881139149790114178886060658377551984132700205784965868603649211 (140 digits)
SNFS difficulty: 187 digits.
Divisors found:
r1=44806686569622453054109355433772940509201640190932374595333 (pp59)
r2=2189897057597555467276738724789787888843027537539784460694321774656451456622514367 (pp82)
Version: Msieve v. 1.51 (SVN 845)
Total time: 205.23 hours.
Factorization parameters were as follows:
n: 98122031079512116074547857472353246194451409089929645488712197624346485162150881139149790114178886060658377551984132700205784965868603649211
m: 10000000000000000000000000000000000000
deg: 5
c5: 70
c0: 173
skew: 1.20
# Murphy_E = 3.885e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 25778478
Relations: 3415586 relations
Pruned matrix : 2080126 x 2080350
Polynomial selection time: 0.00 hours.
Total sieving time: 200.49 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 4.25 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 205.23 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:41 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 41 秒 (日本時間)
4511e6641 / 4409Pierre JammesMarch 24, 2015 06:44:41 UTC 2015 年 3 月 24 日 (火) 15 時 44 分 41 秒 (日本時間)

7×10187+1739

c141

name 名前LegionMammal978
date 日付January 30, 2017 23:29:23 UTC 2017 年 1 月 31 日 (火) 8 時 29 分 23 秒 (日本時間)
composite number 合成数
371313943010738756204278270263297889692062500945560397206955389081461589339278742095201657955032975547015402983069728579939424021647411015429<141>
prime factors 素因数
1116145324863630670181878064839417290290858533024703<52>
332675266149688401280699378127552139979964620934530234683425207570712211434395380169424443<90>
factorization results 素因数分解の結果
Mon Jan 30 09:27:17 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Jan 30 09:27:17 2017  random seeds: 5d03bd42 142aa0a0
Mon Jan 30 09:27:17 2017  factoring 371313943010738756204278270263297889692062500945560397206955389081461589339278742095201657955032975547015402983069728579939424021647411015429 (141 digits)
Mon Jan 30 09:27:18 2017  no P-1/P+1/ECM available, skipping
Mon Jan 30 09:27:18 2017  commencing number field sieve (141-digit input)
Mon Jan 30 09:27:18 2017  R0: -10000000000000000000000000000000000000
Mon Jan 30 09:27:18 2017  R1: 1
Mon Jan 30 09:27:18 2017  A0: 173
Mon Jan 30 09:27:18 2017  A1: 0
Mon Jan 30 09:27:18 2017  A2: 0
Mon Jan 30 09:27:18 2017  A3: 0
Mon Jan 30 09:27:18 2017  A4: 0
Mon Jan 30 09:27:18 2017  A5: 700
Mon Jan 30 09:27:18 2017  skew 0.76, size 2.596e-13, alpha 0.118, combined = 3.730e-11 rroots = 1
Mon Jan 30 09:27:18 2017  
Mon Jan 30 09:27:18 2017  commencing relation filtering
Mon Jan 30 09:27:18 2017  estimated available RAM is 15929.4 MB
Mon Jan 30 09:27:18 2017  commencing duplicate removal, pass 1
Mon Jan 30 09:29:56 2017  found 3343318 hash collisions in 22229200 relations
Mon Jan 30 09:30:15 2017  added 364 free relations
Mon Jan 30 09:30:15 2017  commencing duplicate removal, pass 2
Mon Jan 30 09:30:20 2017  found 3039608 duplicates and 19189956 unique relations
Mon Jan 30 09:30:20 2017  memory use: 98.6 MB
Mon Jan 30 09:30:20 2017  reading ideals above 720000
Mon Jan 30 09:30:20 2017  commencing singleton removal, initial pass
Mon Jan 30 09:32:18 2017  memory use: 689.0 MB
Mon Jan 30 09:32:18 2017  reading all ideals from disk
Mon Jan 30 09:32:18 2017  memory use: 611.8 MB
Mon Jan 30 09:32:19 2017  keeping 21378401 ideals with weight <= 200, target excess is 116067
Mon Jan 30 09:32:19 2017  commencing in-memory singleton removal
Mon Jan 30 09:32:20 2017  begin with 19189956 relations and 21378401 unique ideals
Mon Jan 30 09:32:28 2017  reduce to 7716903 relations and 7549870 ideals in 18 passes
Mon Jan 30 09:32:28 2017  max relations containing the same ideal: 104
Mon Jan 30 09:32:30 2017  removing 272674 relations and 256476 ideals in 16198 cliques
Mon Jan 30 09:32:30 2017  commencing in-memory singleton removal
Mon Jan 30 09:32:30 2017  begin with 7444229 relations and 7549870 unique ideals
Mon Jan 30 09:32:34 2017  reduce to 7435490 relations and 7284620 ideals in 10 passes
Mon Jan 30 09:32:34 2017  max relations containing the same ideal: 103
Mon Jan 30 09:32:36 2017  removing 196012 relations and 179814 ideals in 16198 cliques
Mon Jan 30 09:32:36 2017  commencing in-memory singleton removal
Mon Jan 30 09:32:36 2017  begin with 7239478 relations and 7284620 unique ideals
Mon Jan 30 09:32:39 2017  reduce to 7234811 relations and 7100122 ideals in 9 passes
Mon Jan 30 09:32:39 2017  max relations containing the same ideal: 99
Mon Jan 30 09:32:40 2017  relations with 0 large ideals: 2879
Mon Jan 30 09:32:40 2017  relations with 1 large ideals: 839
Mon Jan 30 09:32:40 2017  relations with 2 large ideals: 16333
Mon Jan 30 09:32:40 2017  relations with 3 large ideals: 129591
Mon Jan 30 09:32:40 2017  relations with 4 large ideals: 554370
Mon Jan 30 09:32:40 2017  relations with 5 large ideals: 1377436
Mon Jan 30 09:32:40 2017  relations with 6 large ideals: 2129654
Mon Jan 30 09:32:40 2017  relations with 7+ large ideals: 3023709
Mon Jan 30 09:32:40 2017  commencing 2-way merge
Mon Jan 30 09:32:43 2017  reduce to 4202840 relation sets and 4068154 unique ideals
Mon Jan 30 09:32:43 2017  ignored 3 oversize relation sets
Mon Jan 30 09:32:43 2017  commencing full merge
Mon Jan 30 09:33:27 2017  memory use: 489.6 MB
Mon Jan 30 09:33:27 2017  found 2142374 cycles, need 2132354
Mon Jan 30 09:33:28 2017  weight of 2132354 cycles is about 149466655 (70.09/cycle)
Mon Jan 30 09:33:28 2017  distribution of cycle lengths:
Mon Jan 30 09:33:28 2017  1 relations: 322646
Mon Jan 30 09:33:28 2017  2 relations: 280496
Mon Jan 30 09:33:28 2017  3 relations: 258011
Mon Jan 30 09:33:28 2017  4 relations: 220856
Mon Jan 30 09:33:28 2017  5 relations: 189359
Mon Jan 30 09:33:28 2017  6 relations: 155357
Mon Jan 30 09:33:28 2017  7 relations: 129886
Mon Jan 30 09:33:28 2017  8 relations: 106456
Mon Jan 30 09:33:28 2017  9 relations: 86537
Mon Jan 30 09:33:28 2017  10+ relations: 382750
Mon Jan 30 09:33:28 2017  heaviest cycle: 28 relations
Mon Jan 30 09:33:28 2017  commencing cycle optimization
Mon Jan 30 09:33:30 2017  start with 12320728 relations
Mon Jan 30 09:33:41 2017  pruned 261472 relations
Mon Jan 30 09:33:42 2017  memory use: 415.1 MB
Mon Jan 30 09:33:42 2017  distribution of cycle lengths:
Mon Jan 30 09:33:42 2017  1 relations: 322646
Mon Jan 30 09:33:42 2017  2 relations: 286298
Mon Jan 30 09:33:42 2017  3 relations: 266127
Mon Jan 30 09:33:42 2017  4 relations: 224951
Mon Jan 30 09:33:42 2017  5 relations: 192443
Mon Jan 30 09:33:42 2017  6 relations: 155925
Mon Jan 30 09:33:42 2017  7 relations: 129767
Mon Jan 30 09:33:42 2017  8 relations: 104850
Mon Jan 30 09:33:42 2017  9 relations: 85166
Mon Jan 30 09:33:42 2017  10+ relations: 364181
Mon Jan 30 09:33:42 2017  heaviest cycle: 28 relations
Mon Jan 30 09:33:44 2017  RelProcTime: 386
Mon Jan 30 09:33:44 2017  elapsed time 00:06:27
Mon Jan 30 09:33:44 2017 LatSieveTime: 1142.28
Mon Jan 30 09:33:44 2017 -> Running matrix solving step ...
Mon Jan 30 09:33:44 2017 -> ./msieve -s 77797_187/77797_187.dat -l 77797_187/77797_187.log -i 77797_187/77797_187.ini -nf 77797_187/77797_187.fb -t 6 -nc2
Mon Jan 30 09:33:44 2017  
Mon Jan 30 09:33:44 2017  
Mon Jan 30 09:33:44 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Jan 30 09:33:44 2017  random seeds: 00a0efb0 ee3d199d
Mon Jan 30 09:33:44 2017  factoring 371313943010738756204278270263297889692062500945560397206955389081461589339278742095201657955032975547015402983069728579939424021647411015429 (141 digits)
Mon Jan 30 09:33:45 2017  no P-1/P+1/ECM available, skipping
Mon Jan 30 09:33:45 2017  commencing number field sieve (141-digit input)
Mon Jan 30 09:33:45 2017  R0: -10000000000000000000000000000000000000
Mon Jan 30 09:33:45 2017  R1: 1
Mon Jan 30 09:33:45 2017  A0: 173
Mon Jan 30 09:33:45 2017  A1: 0
Mon Jan 30 09:33:45 2017  A2: 0
Mon Jan 30 09:33:45 2017  A3: 0
Mon Jan 30 09:33:45 2017  A4: 0
Mon Jan 30 09:33:45 2017  A5: 700
Mon Jan 30 09:33:45 2017  skew 0.76, size 2.596e-13, alpha 0.118, combined = 3.730e-11 rroots = 1
Mon Jan 30 09:33:45 2017  
Mon Jan 30 09:33:45 2017  commencing linear algebra
Mon Jan 30 09:33:45 2017  read 2132354 cycles
Mon Jan 30 09:33:47 2017  cycles contain 7054419 unique relations
Mon Jan 30 09:34:21 2017  read 7054419 relations
Mon Jan 30 09:34:25 2017  using 20 quadratic characters above 4294917295
Mon Jan 30 09:34:52 2017  building initial matrix
Mon Jan 30 09:35:32 2017  memory use: 857.4 MB
Mon Jan 30 09:35:33 2017  read 2132354 cycles
Mon Jan 30 09:35:33 2017  matrix is 2132177 x 2132354 (640.5 MB) with weight 189773973 (89.00/col)
Mon Jan 30 09:35:33 2017  sparse part has weight 144448685 (67.74/col)
Mon Jan 30 09:35:45 2017  filtering completed in 2 passes
Mon Jan 30 09:35:45 2017  matrix is 2129492 x 2129669 (640.3 MB) with weight 189679315 (89.07/col)
Mon Jan 30 09:35:45 2017  sparse part has weight 144415761 (67.81/col)
Mon Jan 30 09:35:49 2017  matrix starts at (0, 0)
Mon Jan 30 09:35:50 2017  matrix is 2129492 x 2129669 (640.3 MB) with weight 189679315 (89.07/col)
Mon Jan 30 09:35:50 2017  sparse part has weight 144415761 (67.81/col)
Mon Jan 30 09:35:50 2017  saving the first 48 matrix rows for later
Mon Jan 30 09:35:50 2017  matrix includes 64 packed rows
Mon Jan 30 09:35:50 2017  matrix is 2129444 x 2129669 (610.8 MB) with weight 152526156 (71.62/col)
Mon Jan 30 09:35:50 2017  sparse part has weight 138823199 (65.19/col)
Mon Jan 30 09:35:50 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Mon Jan 30 09:35:55 2017  commencing Lanczos iteration (6 threads)
Mon Jan 30 09:35:55 2017  memory use: 491.0 MB
Mon Jan 30 09:36:00 2017  linear algebra at 0.1%, ETA 1h57m
Mon Jan 30 09:36:02 2017  checkpointing every 1040000 dimensions
Mon Jan 30 11:30:16 2017  lanczos halted after 33677 iterations (dim = 2129443)
Mon Jan 30 11:30:18 2017  recovered 40 nontrivial dependencies
Mon Jan 30 11:30:18 2017  BLanczosTime: 6993
Mon Jan 30 11:30:18 2017  elapsed time 01:56:34
Mon Jan 30 11:30:18 2017 -> Running square root step ...
Mon Jan 30 11:30:18 2017 -> ./msieve -s 77797_187/77797_187.dat -l 77797_187/77797_187.log -i 77797_187/77797_187.ini -nf 77797_187/77797_187.fb -t 6 -nc3
Mon Jan 30 11:30:18 2017  
Mon Jan 30 11:30:18 2017  
Mon Jan 30 11:30:18 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Jan 30 11:30:18 2017  random seeds: ee31f582 618bc343
Mon Jan 30 11:30:18 2017  factoring 371313943010738756204278270263297889692062500945560397206955389081461589339278742095201657955032975547015402983069728579939424021647411015429 (141 digits)
Mon Jan 30 11:30:18 2017  no P-1/P+1/ECM available, skipping
Mon Jan 30 11:30:18 2017  commencing number field sieve (141-digit input)
Mon Jan 30 11:30:18 2017  R0: -10000000000000000000000000000000000000
Mon Jan 30 11:30:18 2017  R1: 1
Mon Jan 30 11:30:18 2017  A0: 173
Mon Jan 30 11:30:18 2017  A1: 0
Mon Jan 30 11:30:18 2017  A2: 0
Mon Jan 30 11:30:18 2017  A3: 0
Mon Jan 30 11:30:18 2017  A4: 0
Mon Jan 30 11:30:18 2017  A5: 700
Mon Jan 30 11:30:18 2017  skew 0.76, size 2.596e-13, alpha 0.118, combined = 3.730e-11 rroots = 1
Mon Jan 30 11:30:18 2017  
Mon Jan 30 11:30:18 2017  commencing square root phase
Mon Jan 30 11:30:18 2017  reading relations for dependency 1
Mon Jan 30 11:30:18 2017  read 1063399 cycles
Mon Jan 30 11:30:19 2017  cycles contain 3520844 unique relations
Mon Jan 30 11:30:37 2017  read 3520844 relations
Mon Jan 30 11:30:46 2017  multiplying 3520844 relations
Mon Jan 30 11:32:28 2017  multiply complete, coefficients have about 112.03 million bits
Mon Jan 30 11:32:28 2017  initial square root is modulo 110049661
Mon Jan 30 11:34:41 2017  sqrtTime: 263
Mon Jan 30 11:34:41 2017  p52 factor: 1116145324863630670181878064839417290290858533024703
Mon Jan 30 11:34:41 2017  p90 factor: 332675266149688401280699378127552139979964620934530234683425207570712211434395380169424443
Mon Jan 30 11:34:41 2017  elapsed time 00:04:23
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:41 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 41 秒 (日本時間)
1CypJanuary 9, 2015 00:36:45 UTC 2015 年 1 月 9 日 (金) 9 時 36 分 45 秒 (日本時間)
4511e6600 / 4409KTakahashiJune 17, 2015 21:18:53 UTC 2015 年 6 月 18 日 (木) 6 時 18 分 53 秒 (日本時間)

7×10188+1739

c186

name 名前Serge Batalov
date 日付January 10, 2015 20:49:04 UTC 2015 年 1 月 11 日 (日) 5 時 49 分 4 秒 (日本時間)
composite number 合成数
755124056094929881337648327939590075512405609492988133764832793959007551240560949298813376483279395900755124056094929881337648327939590075512405609492988133764832793959007551240560949299<186>
prime factors 素因数
9457163110917527221665829645207346857151<40>
composite cofactor 合成数の残り
79846783569081138947444514724339711374339495483437821618426852669437609955132005642962168833912560755460779243409905987027591859874433373943063949<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1035288763
Step 1 took 15127ms
Step 2 took 11728ms
********** Factor found in step 2: 9457163110917527221665829645207346857151
Found probable prime factor of 40 digits: 9457163110917527221665829645207346857151
Composite cofactor 

c146

name 名前Jason Parker-Burlingham
date 日付May 1, 2018 17:51:55 UTC 2018 年 5 月 2 日 (水) 2 時 51 分 55 秒 (日本時間)
composite number 合成数
79846783569081138947444514724339711374339495483437821618426852669437609955132005642962168833912560755460779243409905987027591859874433373943063949<146>
prime factors 素因数
972257675176224188058615119416652864192502389987<48>
82125125476236230679467660298770742623037523274012127202087187795397690280595293598351674260958927<98>
factorization results 素因数分解の結果
n: 79846783569081138947444514724339711374339495483437821618426852669437609955132005642962168833912560755460779243409905987027591859874433373943063949
skew: 437246.493
c0: 162661163843864953685839705119000
c1: 46124417846795701086682768690
c2: 39523103891021728881211
c3: -261045583123220081
c4: -308054081912
c5: 357600
Y0: -15504128151570291821627747123
Y1: 54327690958734431219
# MurphyE (Bf=2.000e+07,Bg=1.000e+07,area=6.711e+14) = 2.71e-10
# f(x) = 357600*x^5-308054081912*x^4-261045583123220081*x^3+39523103891021728881211*x^2+46124417846795701086682768690*x+162661163843864953685839705119000
# g(x) = 54327690958734431219*x-15504128151570291821627747123

Info:Square Root: Total cpu/real time for sqrt: 3707.36/660.468
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 71.71/9.88283
Info:Generate Free Relations: Total cpu/real time for freerel: 1804.78/232.271
Warning:Lattice Sieving: some stats could not be displayed for sieving (see log
file for debug info)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 72811546
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 403.71/822.707
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 822.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2:
1332.56/755.772
Warning:Filtering - Duplicate Removal, removal pass: some stats could not be displayed for duplicates2 (see log file for debug info)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2245.08/2007.87
Info:Filtering - Merging: Total cpu/real time for merge: 1282.64/1352.9
Info:Filtering - Merging: Total cpu/real time for replay: 168.33/245.487
Info:Linear Algebra: Total cpu/real time for bwc: 643730/86028.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 51793.68, iteration CPU time 0.74, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (69000 iterations)
Info:Linear Algebra: Lingen CPU time 1206.37, WCT time 1209.37
Info:Linear Algebra: Mksol: WCT time 33012.85, iteration CPU time 0.92, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (35000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 179.8/37.0749
Info:Square Root: Total cpu/real time for sqrt: 3707.36/660.468
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 116429/86860.2

82125125476236230679467660298770742623037523274012127202087187795397690280595293598351674260958927 972257675176224188058615119416652864192502389987
software ソフトウェア
CADO-NFS
execution environment 実行環境
19 days, 14 hours on a 4-core 3.7GHz Intel Xeon E5 and a 4-core 2.6GHz Intel Core i7 running macos.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:08:42 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 42 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:50 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 50 秒 (日本時間)

7×10189+1739

c189

name 名前Serge Batalov
date 日付January 8, 2015 23:42:33 UTC 2015 年 1 月 9 日 (金) 8 時 42 分 33 秒 (日本時間)
composite number 合成数
777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797<189>
prime factors 素因数
3579763474100065507831457851<28>
217270717298803432931604882361466491594206218375286869571560334469881232171450635242608820895033147483542287866252245917538285397694172138208399358854177610678847<162>
factorization results 素因数分解の結果
Step 1 took 13730ms
Step 2 took 9904ms
********** Factor found in step 2: 3579763474100065507831457851
Found probable prime factor of 28 digits: 3579763474100065507831457851
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10190+1739

c166

composite cofactor 合成数の残り
1680558800851859946755031865095045921151704098695189900736995475704564379184833885454286249868310790850974301962966520330797930389301959356410612848067541756188099693<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:43 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 43 秒 (日本時間)
1CypJanuary 9, 2015 00:53:34 UTC 2015 年 1 月 9 日 (金) 9 時 53 分 34 秒 (日本時間)
4511e6585 / 4409CypAugust 4, 2015 06:53:23 UTC 2015 年 8 月 4 日 (火) 15 時 53 分 23 秒 (日本時間)

7×10192+1739

c155

composite cofactor 合成数の残り
10538542711862262549425953733258842194626930636178324697377588590389121804097902235066109587716320946762024230794673892153621024047310486909681055991586801<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:43 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 43 秒 (日本時間)
4511e6585 / 4409CypJune 18, 2015 06:03:45 UTC 2015 年 6 月 18 日 (木) 15 時 3 分 45 秒 (日本時間)

7×10195+1739

c157

composite cofactor 合成数の残り
9773442675514183974670372534862793429586942531334747085831484187482962330549756295973101425892161231280671284160499722314189212479304589815954323745119393097<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:44 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 44 秒 (日本時間)
1CypJanuary 9, 2015 00:20:24 UTC 2015 年 1 月 9 日 (金) 9 時 20 分 24 秒 (日本時間)
4511e6585 / 4409CypAugust 4, 2015 05:50:06 UTC 2015 年 8 月 4 日 (火) 14 時 50 分 6 秒 (日本時間)

7×10196+1739

c194

name 名前Ben Meekins
date 日付November 15, 2015 21:53:48 UTC 2015 年 11 月 16 日 (月) 6 時 53 分 48 秒 (日本時間)
composite number 合成数
60292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060293<194>
prime factors 素因数
211727373937826312096333635392845452258028686508334948602497042322081833851142080701537<87>
284766442190089171144324243382145245363796927678792167822270258028295044697970151693584573022043464107415589<108>
factorization results 素因数分解の結果
Number: 77797_196
N = 60292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060293 (194 digits)
SNFS difficulty: 197 digits.
Divisors found:
r1=211727373937826312096333635392845452258028686508334948602497042322081833851142080701537 (pp87)
r2=284766442190089171144324243382145245363796927678792167822270258028295044697970151693584573022043464107415589 (pp108)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 78.96 hours.
Factorization parameters were as follows:
n: 60292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060293
m: 1000000000000000000000000000000000000000
deg: 5
c5: 70
c0: 173
skew: 1.20
# Murphy_E = 1.504e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 26394664
Relations: 3159484 relations
Pruned matrix : 2117446 x 2117672
Polynomial selection time: 0.00 hours.
Total sieving time: 75.12 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.37 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,200000
total time: 78.96 hours.
x86_64
Linux-3.13.0-66-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 0.80GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:08:44 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 44 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:54 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 54 秒 (日本時間)

7×10197+1739

c197

name 名前Jo Yeong Uk
date 日付May 31, 2015 10:45:22 UTC 2015 年 5 月 31 日 (日) 19 時 45 分 22 秒 (日本時間)
composite number 合成数
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797<197>
prime factors 素因数
25277197734918186654733027637421271930493690091489391<53>
121458072036153515374841586597611200767635407394355735467603<60>
25333793237006870804492490361448163413362924608762778122010664834196101345011097826089<86>
factorization results 素因数分解の結果
Number: 77797_197
N=77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797
  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=25277197734918186654733027637421271930493690091489391
 r2=121458072036153515374841586597611200767635407394355735467603
 r3=25333793237006870804492490361448163413362924608762778122010664834196101345011097826089
Version: 
Total time: 217.27 hours.
Scaled time: 1140.45 units (timescale=5.249).
Factorization parameters were as follows:
n: 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797
m: 1000000000000000000000000000000000000000
deg: 5
c5: 700
c0: 173
skew: 0.76
# Murphy_E = 1.442e-11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [7500000, 15900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 35100628
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2941804 x 2942051
Total sieving time: 197.03 hours.
Total relation processing time: 3.88 hours.
Matrix solve time: 15.12 hours.
Time per square root: 1.23 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,55,55,2.5,2.5,100000
total time: 217.27 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:08:45 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 45 秒 (日本時間)
1CypJanuary 9, 2015 01:02:04 UTC 2015 年 1 月 9 日 (金) 10 時 2 分 4 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:55 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 55 秒 (日本時間)
4511e6436KTakahashiMarch 8, 2015 01:22:49 UTC 2015 年 3 月 8 日 (日) 10 時 22 分 49 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:41 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 41 秒 (日本時間)

7×10198+1739

c194

composite cofactor 合成数の残り
29819337414322653750633660920054356392200965294551155073334270512509212045308353248390820755962802506528304941064209553263726479997614453006854187699949307126395651488623922776435907594133258359<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:08:46 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 46 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:56 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 56 秒 (日本時間)

7×10199+1739

c191

name 名前Cyp
date 日付January 30, 2015 18:05:39 UTC 2015 年 1 月 31 日 (土) 3 時 5 分 39 秒 (日本時間)
composite number 合成数
19304729984296321948421499429248901358784737882236421849455994212053649853421405273186221522659623306147455606403745505035306085593323387211022832704413222303436393920586093102576537971096811<191>
prime factors 素因数
92869811848140161669072400751864427573<38>
207868731508396225776160139015429926260669730526750186740509555789014699464219835721665955095396758964760130127561972294393512777040579890708729807720607<153>
factorization results 素因数分解の結果
Run 555 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3390067678
Step 1 took 59010ms
Step 2 took 19426ms
********** Factor found in step 2: 92869811848140161669072400751864427573
Found probable prime factor of 38 digits: 92869811848140161669072400751864427573
Probable prime cofactor 207868731508396225776160139015429926260669730526750186740509555789014699464219835721665955095396758964760130127561972294393512777040579890708729807720607 has 153 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 403Serge BatalovJanuary 9, 2015 00:08:46 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 46 秒 (日本時間)
4511e6555 / 4409CypJanuary 30, 2015 18:05:39 UTC 2015 年 1 月 31 日 (土) 3 時 5 分 39 秒 (日本時間)

7×10200+1739

c182

composite cofactor 合成数の残り
64126561622709022463489675685103390465967556792006047590790904951086410948681548976925622433664457943596428716002733552937837983586003999565202917348825675906366911968737907995841511<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:47 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 47 秒 (日本時間)
4511e6585 / 4409CypJune 12, 2015 22:43:10 UTC 2015 年 6 月 13 日 (土) 7 時 43 分 10 秒 (日本時間)

7×10201+1739

c150

name 名前Serge Batalov
date 日付January 9, 2015 03:54:54 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 54 秒 (日本時間)
composite number 合成数
251819154380721831249703262931050983762080649754001304337136509438097507682336010235785341080742896457715886279724040690618335225838491732304380887739<150>
prime factors 素因数
2273432771842070263637780755642166527<37>
composite cofactor 合成数の残り
110766043975288961556592988139890148456603309068883521489790070150916107715100788096368782813163687731623706009157<114>
factorization results 素因数分解の結果
Input number is 251819154380721831249703262931050983762080649754001304337136509438097507682336010235785341080742896457715886279724040690618335225838491732304380887739 (150 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1832528492
Step 1 took 9866ms
Step 2 took 8999ms
********** Factor found in step 2: 2273432771842070263637780755642166527
Found probable prime factor of 37 digits: 2273432771842070263637780755642166527
Composite cofactor 110766043975288961556592988139890148456603309068883521489790070150916107715100788096368782813163687731623706009157 has 114 digits

c114

name 名前Cyp
date 日付January 11, 2015 04:57:09 UTC 2015 年 1 月 11 日 (日) 13 時 57 分 9 秒 (日本時間)
composite number 合成数
110766043975288961556592988139890148456603309068883521489790070150916107715100788096368782813163687731623706009157<114>
prime factors 素因数
27609594422257789618285401991435316454983904421<47>
4011867841346979409720235644869291781547822930520172862008922954017<67>
factorization results 素因数分解の結果
01/11/15 03:35:42 v1.34.3, 
01/11/15 03:35:42 v1.34.3, ****************************
01/11/15 03:35:42 v1.34.3, Starting factorization of 110766043975288961556592988139890148456603309068883521489790070150916107715100788096368782813163687731623706009157
01/11/15 03:35:42 v1.34.3, using pretesting plan: none
01/11/15 03:35:42 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/11/15 03:35:42 v1.34.3, ****************************
01/11/15 03:35:42 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C114
01/11/15 03:35:42 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C114
01/11/15 03:35:42 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C114
01/11/15 03:35:42 v1.34.3, final ECM pretested depth: 0.00
01/11/15 03:35:42 v1.34.3, scheduler: switching to sieve method
01/11/15 03:35:42 v1.34.3, nfs: commencing nfs on c114: 110766043975288961556592988139890148456603309068883521489790070150916107715100788096368782813163687731623706009157
01/11/15 03:35:42 v1.34.3, nfs: commencing poly selection with 8 threads
01/11/15 03:35:42 v1.34.3, nfs: setting deadline of 725 seconds
01/11/15 03:48:05 v1.34.3, nfs: completed 143 ranges of size 250 in 742.5221 seconds
01/11/15 03:48:05 v1.34.3, nfs: best poly = # norm 9.571006e-11 alpha -7.016923 e 6.874e-10 rroots 3
01/11/15 03:48:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 03:53:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
[17 lines snipped]
01/11/15 05:37:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 05:42:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 05:48:14 v1.34.3, nfs: commencing msieve filtering
01/11/15 05:50:02 v1.34.3, nfs: commencing msieve linear algebra
01/11/15 05:55:17 v1.34.3, nfs: commencing msieve sqrt
01/11/15 05:57:08 v1.34.3, prp47 = 27609594422257789618285401991435316454983904421
01/11/15 05:57:08 v1.34.3, prp67 = 4011867841346979409720235644869291781547822930520172862008922954017
01/11/15 05:57:08 v1.34.3, NFS elapsed time = 8485.8523 seconds.
01/11/15 05:57:08 v1.34.3, 
01/11/15 05:57:08 v1.34.3, 
01/11/15 05:57:08 v1.34.3, Total factoring time = 8485.8751 seconds
--
Sun Jan 11 05:48:14 2015  
Sun Jan 11 05:48:14 2015  commencing relation filtering
Sun Jan 11 05:48:14 2015  estimated available RAM is 15987.3 MB
Sun Jan 11 05:48:14 2015  commencing duplicate removal, pass 1
Sun Jan 11 05:48:46 2015  found 1019725 hash collisions in 10359318 relations
Sun Jan 11 05:48:56 2015  added 62576 free relations
Sun Jan 11 05:48:56 2015  commencing duplicate removal, pass 2
Sun Jan 11 05:49:04 2015  found 403931 duplicates and 10017963 unique relations
Sun Jan 11 05:49:04 2015  memory use: 41.3 MB
Sun Jan 11 05:49:04 2015  reading ideals above 720000
Sun Jan 11 05:49:04 2015  commencing singleton removal, initial pass
Sun Jan 11 05:49:46 2015  memory use: 344.5 MB
Sun Jan 11 05:49:46 2015  reading all ideals from disk
Sun Jan 11 05:49:46 2015  memory use: 273.7 MB
Sun Jan 11 05:49:46 2015  keeping 10560454 ideals with weight <= 200, target excess is 147774
Sun Jan 11 05:49:46 2015  commencing in-memory singleton removal
Sun Jan 11 05:49:47 2015  begin with 10017963 relations and 10560454 unique ideals
Sun Jan 11 05:49:49 2015  reduce to 3978827 relations and 3431708 ideals in 16 passes
Sun Jan 11 05:49:49 2015  max relations containing the same ideal: 108
Sun Jan 11 05:49:50 2015  removing 1008277 relations and 820426 ideals in 187851 cliques
Sun Jan 11 05:49:50 2015  commencing in-memory singleton removal
Sun Jan 11 05:49:50 2015  begin with 2970550 relations and 3431708 unique ideals
Sun Jan 11 05:49:51 2015  reduce to 2761461 relations and 2388999 ideals in 12 passes
Sun Jan 11 05:49:51 2015  max relations containing the same ideal: 78
Sun Jan 11 05:49:52 2015  removing 766864 relations and 579013 ideals in 187851 cliques
Sun Jan 11 05:49:52 2015  commencing in-memory singleton removal
Sun Jan 11 05:49:52 2015  begin with 1994597 relations and 2388999 unique ideals
Sun Jan 11 05:49:53 2015  reduce to 1817313 relations and 1619596 ideals in 10 passes
Sun Jan 11 05:49:53 2015  max relations containing the same ideal: 58
Sun Jan 11 05:49:53 2015  removing 169487 relations and 143188 ideals in 26299 cliques
Sun Jan 11 05:49:53 2015  commencing in-memory singleton removal
Sun Jan 11 05:49:53 2015  begin with 1647826 relations and 1619596 unique ideals
Sun Jan 11 05:49:53 2015  reduce to 1636124 relations and 1464534 ideals in 7 passes
Sun Jan 11 05:49:53 2015  max relations containing the same ideal: 56
Sun Jan 11 05:49:54 2015  relations with 0 large ideals: 4673
Sun Jan 11 05:49:54 2015  relations with 1 large ideals: 44328
Sun Jan 11 05:49:54 2015  relations with 2 large ideals: 188303
Sun Jan 11 05:49:54 2015  relations with 3 large ideals: 402306
Sun Jan 11 05:49:54 2015  relations with 4 large ideals: 480153
Sun Jan 11 05:49:54 2015  relations with 5 large ideals: 334665
Sun Jan 11 05:49:54 2015  relations with 6 large ideals: 141560
Sun Jan 11 05:49:54 2015  relations with 7+ large ideals: 40136
Sun Jan 11 05:49:54 2015  commencing 2-way merge
Sun Jan 11 05:49:54 2015  reduce to 924102 relation sets and 752512 unique ideals
Sun Jan 11 05:49:54 2015  commencing full merge
Sun Jan 11 05:49:59 2015  memory use: 75.2 MB
Sun Jan 11 05:49:59 2015  found 459882 cycles, need 436712
Sun Jan 11 05:49:59 2015  weight of 436712 cycles is about 30661780 (70.21/cycle)
Sun Jan 11 05:49:59 2015  distribution of cycle lengths:
Sun Jan 11 05:49:59 2015  1 relations: 46319
Sun Jan 11 05:49:59 2015  2 relations: 44945
Sun Jan 11 05:49:59 2015  3 relations: 46045
Sun Jan 11 05:49:59 2015  4 relations: 43742
Sun Jan 11 05:49:59 2015  5 relations: 40915
Sun Jan 11 05:49:59 2015  6 relations: 37836
Sun Jan 11 05:49:59 2015  7 relations: 33880
Sun Jan 11 05:49:59 2015  8 relations: 30322
Sun Jan 11 05:49:59 2015  9 relations: 26526
Sun Jan 11 05:49:59 2015  10+ relations: 86182
Sun Jan 11 05:49:59 2015  heaviest cycle: 17 relations
Sun Jan 11 05:49:59 2015  commencing cycle optimization
Sun Jan 11 05:50:00 2015  start with 2624462 relations
Sun Jan 11 05:50:02 2015  pruned 60214 relations
Sun Jan 11 05:50:02 2015  memory use: 89.1 MB
Sun Jan 11 05:50:02 2015  distribution of cycle lengths:
Sun Jan 11 05:50:02 2015  1 relations: 46319
Sun Jan 11 05:50:02 2015  2 relations: 45951
Sun Jan 11 05:50:02 2015  3 relations: 47629
Sun Jan 11 05:50:02 2015  4 relations: 44742
Sun Jan 11 05:50:02 2015  5 relations: 42132
Sun Jan 11 05:50:02 2015  6 relations: 38567
Sun Jan 11 05:50:02 2015  7 relations: 34610
Sun Jan 11 05:50:02 2015  8 relations: 30627
Sun Jan 11 05:50:02 2015  9 relations: 26511
Sun Jan 11 05:50:02 2015  10+ relations: 79624
Sun Jan 11 05:50:02 2015  heaviest cycle: 17 relations
Sun Jan 11 05:50:02 2015  RelProcTime: 108
Sun Jan 11 05:50:02 2015  
Sun Jan 11 05:50:02 2015  commencing linear algebra
Sun Jan 11 05:50:02 2015  read 436712 cycles
Sun Jan 11 05:50:03 2015  cycles contain 1501566 unique relations
Sun Jan 11 05:50:13 2015  read 1501566 relations
Sun Jan 11 05:50:14 2015  using 20 quadratic characters above 134212572
Sun Jan 11 05:50:18 2015  building initial matrix
Sun Jan 11 05:50:28 2015  memory use: 192.8 MB
Sun Jan 11 05:50:28 2015  read 436712 cycles
Sun Jan 11 05:50:28 2015  matrix is 436523 x 436712 (130.4 MB) with weight 42034832 (96.25/col)
Sun Jan 11 05:50:28 2015  sparse part has weight 29385938 (67.29/col)
Sun Jan 11 05:50:30 2015  filtering completed in 2 passes
Sun Jan 11 05:50:30 2015  matrix is 435085 x 435273 (130.3 MB) with weight 41961733 (96.40/col)
Sun Jan 11 05:50:30 2015  sparse part has weight 29356379 (67.44/col)
Sun Jan 11 05:50:30 2015  matrix starts at (0, 0)
Sun Jan 11 05:50:31 2015  matrix is 435085 x 435273 (130.3 MB) with weight 41961733 (96.40/col)
Sun Jan 11 05:50:31 2015  sparse part has weight 29356379 (67.44/col)
Sun Jan 11 05:50:31 2015  saving the first 48 matrix rows for later
Sun Jan 11 05:50:31 2015  matrix includes 64 packed rows
Sun Jan 11 05:50:31 2015  matrix is 435037 x 435273 (126.0 MB) with weight 33275261 (76.45/col)
Sun Jan 11 05:50:31 2015  sparse part has weight 28676774 (65.88/col)
Sun Jan 11 05:50:31 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 11 05:50:32 2015  commencing Lanczos iteration (8 threads)
Sun Jan 11 05:50:32 2015  memory use: 119.1 MB
Sun Jan 11 05:50:40 2015  linear algebra at 2.8%, ETA 0h 4m
Sun Jan 11 05:55:17 2015  lanczos halted after 6881 iterations (dim = 435037)
Sun Jan 11 05:55:17 2015  recovered 32 nontrivial dependencies
Sun Jan 11 05:55:17 2015  BLanczosTime: 315
Sun Jan 11 05:55:17 2015  
Sun Jan 11 05:55:17 2015  commencing square root phase
Sun Jan 11 05:55:17 2015  reading relations for dependency 1
Sun Jan 11 05:55:17 2015  read 217364 cycles
Sun Jan 11 05:55:17 2015  cycles contain 748232 unique relations
Sun Jan 11 05:55:26 2015  read 748232 relations
Sun Jan 11 05:55:28 2015  multiplying 748232 relations
Sun Jan 11 05:55:48 2015  multiply complete, coefficients have about 31.81 million bits
Sun Jan 11 05:55:48 2015  initial square root is modulo 1369085297
Sun Jan 11 05:56:13 2015  GCD is N, no factor found
Sun Jan 11 05:56:13 2015  reading relations for dependency 2
Sun Jan 11 05:56:13 2015  read 217735 cycles
Sun Jan 11 05:56:13 2015  cycles contain 751656 unique relations
Sun Jan 11 05:56:21 2015  read 751656 relations
Sun Jan 11 05:56:23 2015  multiplying 751656 relations
Sun Jan 11 05:56:43 2015  multiply complete, coefficients have about 31.96 million bits
Sun Jan 11 05:56:43 2015  initial square root is modulo 1508432197
Sun Jan 11 05:57:08 2015  sqrtTime: 111
--
n: 110766043975288961556592988139890148456603309068883521489790070150916107715100788096368782813163687731623706009157
skew: 93170.77
c0: -11350206360758321607476165175
c1: 102952718584661384276225
c2: 1675003943532710653
c3: -131304086445561
c4: 606471642
c5: 7176
Y0: -6881842441190178390538
Y1: 110365370399
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:08:47 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 47 秒 (日本時間)
1CypJanuary 9, 2015 00:57:55 UTC 2015 年 1 月 9 日 (金) 9 時 57 分 55 秒 (日本時間)

7×10202+1739

c193

composite cofactor 合成数の残り
6504720685671758689419011377311331914393748810058340588004174886964455565535664871458633418690852181618052394685270720914795341065658173805144472471083566429046627423261175426941112618949040603<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:48 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 48 秒 (日本時間)
4511e6585 / 4409CypAugust 4, 2015 09:55:16 UTC 2015 年 8 月 4 日 (火) 18 時 55 分 16 秒 (日本時間)

7×10203+1739

c203

name 名前Serge Batalov
date 日付January 9, 2015 00:38:10 UTC 2015 年 1 月 9 日 (金) 9 時 38 分 10 秒 (日本時間)
composite number 合成数
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797<203>
prime factors 素因数
2002666228680614719867956154517<31>
composite cofactor 合成数の残り
38837114574513445043806666818638006279969884243588159959043927875579891521574137761414174949150877426304493480014300293113467555097766569053094917715868224560492763999137841<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4119459013
Step 1 took 16647ms
Step 2 took 11164ms
********** Factor found in step 2: 2002666228680614719867956154517
Found probable prime factor of 31 digits: 2002666228680614719867956154517
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:48 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 48 秒 (日本時間)
4511e6585 / 4409CypAugust 4, 2015 04:21:59 UTC 2015 年 8 月 4 日 (火) 13 時 21 分 59 秒 (日本時間)

7×10206+1739

c135

name 名前Erik Branger
date 日付April 16, 2015 15:26:42 UTC 2015 年 4 月 17 日 (金) 0 時 26 分 42 秒 (日本時間)
composite number 合成数
638053366577868186423902964344854956287490931202895585375382133416481962293401891382606004024150905258669982829911111225788351413557849<135>
prime factors 素因数
1253310507442536538226570607004324458083318928575454401240263<61>
509094404609962558127100314245334773043062429972026563436045254493497798623<75>
factorization results 素因数分解の結果
Number: 77797_206
N = 638053366577868186423902964344854956287490931202895585375382133416481962293401891382606004024150905258669982829911111225788351413557849 (135 digits)
Divisors found:
r1=1253310507442536538226570607004324458083318928575454401240263 (pp61)
r2=509094404609962558127100314245334773043062429972026563436045254493497798623 (pp75)
Version: Msieve v. 1.52 (SVN 958)
Total time: 99.07 hours.
Factorization parameters were as follows:
# Murphy_E = 4.067e-11, selected by Erik Branger
# expecting poly E from 4.25e-011 to > 4.88e-011
n: 638053366577868186423902964344854956287490931202895585375382133416481962293401891382606004024150905258669982829911111225788351413557849
Y0: -148350574861784459717426461
Y1: 306438800969443
c0: -11728374876652723923794970021712320
c1: 51334665964855947299925889016
c2: 41899299973140503716338
c3: -54966348764019921
c4: -21074688568
c5: 8880
skew: 1478890.62
type: gnfs
# selected mechanically
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21151416
Relations: 2955942 relations
Pruned matrix : 1814255 x 1814480
Polynomial selection time: 0.00 hours.
Total sieving time: 97.44 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.37 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,13200000,13200000,28,28,54,54,2.6,2.6,100000
total time: 99.07 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:08:49 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 49 秒 (日本時間)
2350Ignacio SantosFebruary 6, 2015 13:11:40 UTC 2015 年 2 月 6 日 (金) 22 時 11 分 40 秒 (日本時間)

7×10207+1739

c180

name 名前Cyp
date 日付February 8, 2015 09:50:01 UTC 2015 年 2 月 8 日 (日) 18 時 50 分 1 秒 (日本時間)
composite number 合成数
357069777602709563457489523194060199965230744604538394877560567169678704503548027868347911858133532479607039669630500967743738061528848594418361697997474803919497100811909060671199<180>
prime factors 素因数
366505049124182028871816844283879733408849<42>
974256094031939148155832771570392316128116222186805190036066556634221789762155766208266665388871412030448811701513766595813902248496815151<138>
factorization results 素因数分解の結果
Run 218 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3686975191
Step 1 took 59815ms
Step 2 took 18665ms
********** Factor found in step 2: 366505049124182028871816844283879733408849
Found probable prime factor of 42 digits: 366505049124182028871816844283879733408849
Probable prime cofactor 974256094031939148155832771570392316128116222186805190036066556634221789762155766208266665388871412030448811701513766595813902248496815151 has 138 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 1566Serge BatalovJanuary 9, 2015 00:08:49 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 49 秒 (日本時間)
4511e6218 / 4409CypFebruary 8, 2015 09:50:01 UTC 2015 年 2 月 8 日 (日) 18 時 50 分 1 秒 (日本時間)

7×10208+1739

c167

name 名前Serge Batalov
date 日付January 9, 2015 03:54:58 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 58 秒 (日本時間)
composite number 合成数
11011387625597948471874626969809556287179206025799000049531255033926595394346597465586443309466190321557236277246857704653508279154997853455505914055362684618494516109<167>
prime factors 素因数
874090021934006130199243638360817321<36>
composite cofactor 合成数の残り
12597544130791266667784188814809314134820713409303185758992570900315128006395151343801830464431561563632329790994349153714582517829<131>
factorization results 素因数分解の結果
Input number is 11011387625597948471874626969809556287179206025799000049531255033926595394346597465586443309466190321557236277246857704653508279154997853455505914055362684618494516109 (167 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3189685547
Step 1 took 10964ms
Step 2 took 8788ms
********** Factor found in step 2: 874090021934006130199243638360817321
Found probable prime factor of 36 digits: 874090021934006130199243638360817321
Composite cofactor 12597544130791266667784188814809314134820713409303185758992570900315128006395151343801830464431561563632329790994349153714582517829 has 131 digits

c131

name 名前Erik Branger
date 日付February 27, 2015 07:39:54 UTC 2015 年 2 月 27 日 (金) 16 時 39 分 54 秒 (日本時間)
composite number 合成数
12597544130791266667784188814809314134820713409303185758992570900315128006395151343801830464431561563632329790994349153714582517829<131>
prime factors 素因数
171790263954548491682559153150064711466819491409<48>
73330955089074600775636180571620527345703922565522025271184418087060252424825299381<83>
factorization results 素因数分解の結果
Number: 77797_208
N = 12597544130791266667784188814809314134820713409303185758992570900315128006395151343801830464431561563632329790994349153714582517829 (131 digits)
Divisors found:
r1=171790263954548491682559153150064711466819491409 (pp48)
r2=73330955089074600775636180571620527345703922565522025271184418087060252424825299381 (pp83)
Version: Msieve v. 1.52 (SVN 958)
Total time: 47.17 hours.
Factorization parameters were as follows:
# Murphy_E = 7.75e-11, selected by Erik Branger
# expecting poly E from 8.20e-011 to > 9.43e-011
n: 12597544130791266667784188814809314134820713409303185758992570900315128006395151343801830464431561563632329790994349153714582517829
Y0: -18825408185765805825296985
Y1: 31853121662387
c0: -105293096875624262602574327202368
c1: -1837621536802775867794673092
c2: 969222897524193400364
c3: 6702341288988991
c4: -2436292158
c5: 5328
skew: 615804.67
type: gnfs
# selected mechanically
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18878348
Relations: 2470774 relations
Pruned matrix : 1432688 x 1432915
Polynomial selection time: 0.00 hours.
Total sieving time: 46.16 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.80 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,9800000,9800000,28,28,54,54,2.6,2.6,100000
total time: 47.17 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62931300Serge BatalovJanuary 9, 2015 00:08:50 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 50 秒 (日本時間)
281CypJanuary 9, 2015 01:04:50 UTC 2015 年 1 月 9 日 (金) 10 時 4 分 50 秒 (日本時間)
2350Ignacio SantosFebruary 3, 2015 23:21:51 UTC 2015 年 2 月 4 日 (水) 8 時 21 分 51 秒 (日本時間)

7×10212+1739

c184

composite cofactor 合成数の残り
1071347147127375514350943355366646588719088550771993047384640559138293927152712349563629051906947828234681467036483433448343446582643331839855072303969890663746772359948225317119355243<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:50 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 50 秒 (日本時間)
4511e6585 / 4409CypAugust 3, 2015 19:47:43 UTC 2015 年 8 月 4 日 (火) 4 時 47 分 43 秒 (日本時間)

7×10213+1739

c159

name 名前Cyp
date 日付May 26, 2015 16:50:08 UTC 2015 年 5 月 27 日 (水) 1 時 50 分 8 秒 (日本時間)
composite number 合成数
771982829951688782473454550059911805030565189419764591009997201390413721399725196264919775496280177366183892991224101611294863403595634637573284328866683692539<159>
prime factors 素因数
2532917990942177096020396264243462042657<40>
304780033428769644315462842769683094071924253050176844993348390154398096935003006654804396151717346559353387395784054427<120>
factorization results 素因数分解の結果
Run 152 out of 504:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=803875248
Step 1 took 49859ms
Step 2 took 16872ms
********** Factor found in step 2: 2532917990942177096020396264243462042657
Found probable prime factor of 40 digits: 2532917990942177096020396264243462042657
Probable prime cofactor 304780033428769644315462842769683094071924253050176844993348390154398096935003006654804396151717346559353387395784054427 has 120 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6581 / 1794300Serge BatalovJanuary 9, 2015 00:08:51 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 51 秒 (日本時間)
281CypJanuary 9, 2015 01:28:26 UTC 2015 年 1 月 9 日 (金) 10 時 28 分 26 秒 (日本時間)
4511e6152 / 4347CypMay 26, 2015 16:50:08 UTC 2015 年 5 月 27 日 (水) 1 時 50 分 8 秒 (日本時間)

7×10214+1739

c161

name 名前Serge Batalov
date 日付January 9, 2015 03:55:02 UTC 2015 年 1 月 9 日 (金) 12 時 55 分 2 秒 (日本時間)
composite number 合成数
15977567699965397671869191915332650672194994146793448489635471003592595900377684571540671936213966521922733110170607848568149331462245318479771408077281765863257<161>
prime factors 素因数
2554371091294700521982613389241101<34>
6254990809446977340274290730428561192853957147318748815227566333246984515634555932292271372998175588960662509272580642431570557<127>
factorization results 素因数分解の結果
Input number is 15977567699965397671869191915332650672194994146793448489635471003592595900377684571540671936213966521922733110170607848568149331462245318479771408077281765863257 (161 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3862291215
Step 1 took 11885ms
Step 2 took 9934ms
********** Factor found in step 2: 2554371091294700521982613389241101
Found probable prime factor of 34 digits: 2554371091294700521982613389241101
Probable prime cofactor 6254990809446977340274290730428561192853957147318748815227566333246984515634555932292271372998175588960662509272580642431570557 has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:08:52 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 52 秒 (日本時間)
1CypJanuary 9, 2015 00:34:58 UTC 2015 年 1 月 9 日 (金) 9 時 34 分 58 秒 (日本時間)

7×10215+1739

c192

composite cofactor 合成数の残り
610860429459360962632535977087884231182408926992813666040160784954432516975350142374523444099560323896331312938310692470596524184743878284798134240577533477264617423362204749058099487196355483<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:52 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 52 秒 (日本時間)
4511e6585 / 4409CypAugust 3, 2015 18:50:52 UTC 2015 年 8 月 4 日 (火) 3 時 50 分 52 秒 (日本時間)

7×10217+1739

c193

composite cofactor 合成数の残り
2262260735721968705575717869448187318530914431532823522248982570502625516444737642331550052830718418856806881655132942622738222436469159519707119420388711470206663683909218519380864351540494627<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:53 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 53 秒 (日本時間)
1CypJanuary 9, 2015 00:40:30 UTC 2015 年 1 月 9 日 (金) 9 時 40 分 30 秒 (日本時間)
4511e6585 / 4409CypJune 18, 2015 19:18:30 UTC 2015 年 6 月 19 日 (金) 4 時 18 分 30 秒 (日本時間)

7×10218+1739

c197

name 名前Serge Batalov
date 日付January 9, 2015 03:55:07 UTC 2015 年 1 月 9 日 (金) 12 時 55 分 7 秒 (日本時間)
composite number 合成数
54763578711307197689532820003471953042106333607268931958906604366852779687992261729928843560348605138096767957066609001321295501952327447297297281092360629495600829933529438606922906740642009632997<197>
prime factors 素因数
32372731558762345538491701561947<32>
composite cofactor 合成数の残り
1691657641305350672627607951641594327610168190673775112323120069572849177476099129724343048206408535405717358178805405578446106560977577539815422278912280025712457151<166>
factorization results 素因数分解の結果
Input number is 54763578711307197689532820003471953042106333607268931958906604366852779687992261729928843560348605138096767957066609001321295501952327447297297281092360629495600829933529438606922906740642009632997 (197 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=792399442
Step 1 took 16413ms
********** Factor found in step 1: 32372731558762345538491701561947
Found probable prime factor of 32 digits: 32372731558762345538491701561947
Composite cofactor 1691657641305350672627607951641594327610168190673775112323120069572849177476099129724343048206408535405717358178805405578446106560977577539815422278912280025712457151 has 166 digits

c166

name 名前Cyp
date 日付June 12, 2015 19:55:28 UTC 2015 年 6 月 13 日 (土) 4 時 55 分 28 秒 (日本時間)
composite number 合成数
1691657641305350672627607951641594327610168190673775112323120069572849177476099129724343048206408535405717358178805405578446106560977577539815422278912280025712457151<166>
prime factors 素因数
69486274916617563156931320312604546813806371<44>
composite cofactor 合成数の残り
24345205486051932291662811605193127569228974335183313485906534936841130051488949439031984973227196112213208816799378624181<122>
factorization results 素因数分解の結果
Run 484 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=158137936
Step 1 took 50002ms
Step 2 took 17515ms
********** Factor found in step 2: 69486274916617563156931320312604546813806371
Found probable prime factor of 44 digits: 69486274916617563156931320312604546813806371
Composite cofactor 24345205486051932291662811605193127569228974335183313485906534936841130051488949439031984973227196112213208816799378624181 has 122 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c122

name 名前Jo Yeong Uk
date 日付June 15, 2015 18:21:26 UTC 2015 年 6 月 16 日 (火) 3 時 21 分 26 秒 (日本時間)
composite number 合成数
24345205486051932291662811605193127569228974335183313485906534936841130051488949439031984973227196112213208816799378624181<122>
prime factors 素因数
6011581302750460410929682880148232815085667150610287<52>
4049717413771538757968997694100427549260527236205596599855566101070363<70>
factorization results 素因数分解の結果
Number: 77797_218
N=24345205486051932291662811605193127569228974335183313485906534936841130051488949439031984973227196112213208816799378624181
  ( 122 digits)
Divisors found:
 r1=6011581302750460410929682880148232815085667150610287
 r2=4049717413771538757968997694100427549260527236205596599855566101070363
Version: 
Total time: 22.99 hours.
Scaled time: 119.37 units (timescale=5.193).
Factorization parameters were as follows:
name: 77797_218
n: 24345205486051932291662811605193127569228974335183313485906534936841130051488949439031984973227196112213208816799378624181
skew: 46539.46
# norm 4.77e+16
c5: 40320
c4: 47691581982
c3: -1845965899715
c2: -104979668596527572932
c1: -1134001997926437080268314
c0: 2760704162164746014053997784
# alpha -6.30
Y1: 13253274935737
Y0: -227076707265029419930753
# Murphy_E 2.36e-10
# M 10223783623457731337690165952144167989041506997361136369618762046278572236942266106112797524846214367463828680402728460076
type: gnfs
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [2800000, 5000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17352100
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 866381 x 866629
Polynomial selection time: 3.49 hours.
Total sieving time: 17.60 hours.
Total relation processing time: 0.92 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5600000,5600000,28,28,54,54,2.5,2.5,100000
total time: 22.99 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.89 BogoMIPS (lpj=3399945)
Total of 12 processors activated (81598.68 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:53 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 53 秒 (日本時間)
4511e6585 / 4409CypJune 12, 2015 19:55:28 UTC 2015 年 6 月 13 日 (土) 4 時 55 分 28 秒 (日本時間)

7×10219+1739

c195

composite cofactor 合成数の残り
322228224569455106730370867561938322849375567577748372247769210410523022443376571128239955568851184568901813360621743655513344928072107634186354379995161662468474305096575179848802692314113390783<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:54 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 54 秒 (日本時間)
1CypJanuary 9, 2015 00:39:31 UTC 2015 年 1 月 9 日 (金) 9 時 39 分 31 秒 (日本時間)
4511e6585 / 4409CypMay 17, 2015 18:30:49 UTC 2015 年 5 月 18 日 (月) 3 時 30 分 49 秒 (日本時間)

7×10220+1739

c184

name 名前Serge Batalov
date 日付January 9, 2015 03:55:11 UTC 2015 年 1 月 9 日 (金) 12 時 55 分 11 秒 (日本時間)
composite number 合成数
4600637665040074803794313266787080235136903861707106156077168750940585141457398060423099968402988803009777293839020295872503069742775885311056480563052067890589359530049233083505591283<184>
prime factors 素因数
10416100935543318074135567472859<32>
441685203850235083139987641650387256962315850752953876309698432100536187101284179290421047679684938064147941083982988045517196058666732115639095112974537<153>
factorization results 素因数分解の結果
Input number is 4600637665040074803794313266787080235136903861707106156077168750940585141457398060423099968402988803009777293839020295872503069742775885311056480563052067890589359530049233083505591283 (184 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3060647706
Step 1 took 15165ms
Step 2 took 11678ms
********** Factor found in step 2: 10416100935543318074135567472859
Found probable prime factor of 32 digits: 10416100935543318074135567472859
Probable prime cofactor 441685203850235083139987641650387256962315850752953876309698432100536187101284179290421047679684938064147941083982988045517196058666732115639095112974537 has 153 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:54 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 54 秒 (日本時間)

7×10221+1739

c198

name 名前Cyp
date 日付June 20, 2015 06:56:14 UTC 2015 年 6 月 20 日 (土) 15 時 56 分 14 秒 (日本時間)
composite number 合成数
259738058723984083375214747665420811413758648537717243408130479473445905775331999481217668608871289934383638698168432418703223248491772877893719283349335561407377852038328732507300242840548455561613<198>
prime factors 素因数
3978314068223498977614432657296278901<37>
103232279128717765382502002927380945313057<42>
632442445191380540579294594415784312096306321926955739551373325915835678207813094207025487134717447747415219528229421209<120>
factorization results 素因数分解の結果
Run 184 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=79202378
Step 1 took 69743ms
Step 2 took 20794ms
********** Factor found in step 2: 103232279128717765382502002927380945313057
Found probable prime factor of 42 digits: 103232279128717765382502002927380945313057
Composite cofactor 2516054677046538396828297966703744470953282975833765098908879834033339858071561671809283216044756467035147380534032421657018689054610999804515573704668611309 has 157 digits
--
Run 356 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=423294195
Step 1 took 48349ms
Step 2 took 14252ms
********** Factor found in step 2: 3978314068223498977614432657296278901
Found probable prime factor of 37 digits: 3978314068223498977614432657296278901
Probable prime cofactor 632442445191380540579294594415784312096306321926955739551373325915835678207813094207025487134717447747415219528229421209 has 120 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 1090Serge BatalovJanuary 9, 2015 00:08:55 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 55 秒 (日本時間)
4511e6356 / 4409CypJune 20, 2015 06:56:13 UTC 2015 年 6 月 20 日 (土) 15 時 56 分 13 秒 (日本時間)

7×10223+1739

c154

name 名前Serge Batalov
date 日付January 9, 2015 03:55:15 UTC 2015 年 1 月 9 日 (金) 12 時 55 分 15 秒 (日本時間)
composite number 合成数
1767414675619399959683674066539835129459432331952342336268226945793958024284272484526552500211069062547481028053051474695890339456743515378448122247855159<154>
prime factors 素因数
16987546745166833764390688466871<32>
104041784380799493549325974347536645987432479617942979926227880241216365586037069127359558273287330052166918141115010092929<123>
factorization results 素因数分解の結果
Input number is 1767414675619399959683674066539835129459432331952342336268226945793958024284272484526552500211069062547481028053051474695890339456743515378448122247855159 (154 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3373049120
Step 1 took 9267ms
Step 2 took 7759ms
********** Factor found in step 2: 16987546745166833764390688466871
Found probable prime factor of 32 digits: 16987546745166833764390688466871
Probable prime cofactor 104041784380799493549325974347536645987432479617942979926227880241216365586037069127359558273287330052166918141115010092929 has 123 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:55 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 55 秒 (日本時間)

7×10224+1739

c223

name 名前Bob Backstrom
date 日付September 1, 2018 14:13:20 UTC 2018 年 9 月 1 日 (土) 23 時 13 分 20 秒 (日本時間)
composite number 合成数
3381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990339<223>
prime factors 素因数
7430141921845567865248979760769543256429756554380951100673155002846374843585053536777771730261759<97>
455124888279029106015720626637093600450667326071539305109634465540867832529450738848161852760044925345203864136096894758882621<126>
factorization results 素因数分解の結果
Number: n
N=3381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990339
  ( 223 digits)
SNFS difficulty: 224 digits.
Divisors found:

Sun Sep  2 00:03:49 2018  p97 factor: 7430141921845567865248979760769543256429756554380951100673155002846374843585053536777771730261759
Sun Sep  2 00:03:49 2018  p126 factor: 455124888279029106015720626637093600450667326071539305109634465540867832529450738848161852760044925345203864136096894758882621
Sun Sep  2 00:03:49 2018  elapsed time 10:53:34 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 7x10^224+173 = 7(222)97
#
n: 3381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990339
m: 10000000000000000000000000000000000000
deg: 6
c6: 700
c0: 173
skew: 0.79
# Murphy_E = 1.496e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 203500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 21649591 hash collisions in 100590862 relations (79222473 unique)
Msieve: matrix is 4856367 x 4856614 (1619.0 MB)

Sieving start time: 2018/08/27 15:20:51
Sieving end time  : 2018/09/01 13:03:33

Total sieving time: 117hrs 42min 42secs.

Total relation processing time: 9hrs 53min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 25sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285192K/16703460K available (12300K kernel code, 2470K rwdata, 4244K rodata, 2408K init, 2416K bss, 418268K reserved, 0K cma-reserved)
[    0.076560] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.34 BogoMIPS (lpj=11976684)
[    0.074216] smpboot: Total of 16 processors activated (95813.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:08:56 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 56 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:49 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 49 秒 (日本時間)

7×10225+1739

c187

composite cofactor 合成数の残り
3886456951968482433488977750205085586833980471723374499723777131369662614076955825833951425753009579200203050662699975925236192001410013407036046644345163646748527761154815853283705696793<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:56 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 56 秒 (日本時間)
1CypJanuary 9, 2015 00:15:28 UTC 2015 年 1 月 9 日 (金) 9 時 15 分 28 秒 (日本時間)
4511e6585 / 4409CypJanuary 24, 2015 23:16:38 UTC 2015 年 1 月 25 日 (日) 8 時 16 分 38 秒 (日本時間)

7×10227+1739

c177

composite cofactor 合成数の残り
364448526551569833011239066207253795385167538626894442746035628840294001690356536895606540250310672101355180611404990884546224564432004865880729918322606074507834190977195561811<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e61900300Serge BatalovJanuary 9, 2015 00:08:57 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 57 秒 (日本時間)
1600Serge BatalovJune 18, 2015 05:37:32 UTC 2015 年 6 月 18 日 (木) 14 時 37 分 32 秒 (日本時間)
4511e6200 / 4055Serge BatalovJune 18, 2015 05:37:21 UTC 2015 年 6 月 18 日 (木) 14 時 37 分 21 秒 (日本時間)

7×10230+1739

c218

composite cofactor 合成数の残り
51255654285963469814665415478180922502934942564750582443506716563273345732460447828230876549165598180350861219866590396247118577942809825021795338776763327298695299904446362401945366955629236451450481232244648841829931<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:57 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 57 秒 (日本時間)
4511e6585 / 4409CypAugust 3, 2015 22:55:49 UTC 2015 年 8 月 4 日 (火) 7 時 55 分 49 秒 (日本時間)

7×10231+1739

c210

composite cofactor 合成数の残り
403584705170378361659925752436756531320371780553099362270161492695098138046069370513625674679806079478938103195041977454026858475950134332676999296921428991613652754371079727004634919289742082058126591182101403<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:58 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 58 秒 (日本時間)
4511e6585 / 4409CypJune 28, 2015 21:34:40 UTC 2015 年 6 月 29 日 (月) 6 時 34 分 40 秒 (日本時間)

7×10232+1739

c224

composite cofactor 合成数の残り
24390180870393200102311791342663279256605489113967680035441525132476687254498478531283879256957334894580866513488874373874135531545910287102230161240032781420508781911625282743999264026989098195769575601762286316767382765269<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:59 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 59 秒 (日本時間)
4511e6585 / 4409CypAugust 3, 2015 23:00:53 UTC 2015 年 8 月 4 日 (火) 8 時 0 分 53 秒 (日本時間)

7×10233+1739

c183

composite cofactor 合成数の残り
184005496704050029594938891850757127864857513376625118923863098818004486864817740886189094933710436935578205068679880325203866467709740922449351177699821233009684052400022942056104873<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:59 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 59 秒 (日本時間)
4511e6585 / 4409CypAugust 3, 2015 18:49:00 UTC 2015 年 8 月 4 日 (火) 3 時 49 分 0 秒 (日本時間)

7×10234+1739

c175

name 名前Cyp
date 日付May 23, 2015 12:57:52 UTC 2015 年 5 月 23 日 (土) 21 時 57 分 52 秒 (日本時間)
composite number 合成数
1363764895697081319959072439641783431928451748899563649535955479643217375703919550296741941606541668491496520704608072076841626423363292022401015799966353494467233357271736921<175>
prime factors 素因数
878806411683353844895304545429593892177<39>
composite cofactor 合成数の残り
1551837671603680506622203510231311484804031610249732530763344735615246264912351855954147075098729176226311358940239389956702741225704073<136>
factorization results 素因数分解の結果
Run 440 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3100152284
Step 1 took 60872ms
Step 2 took 18899ms
********** Factor found in step 2: 878806411683353844895304545429593892177
Found probable prime factor of 39 digits: 878806411683353844895304545429593892177
Composite cofactor 1551837671603680506622203510231311484804031610249732530763344735615246264912351855954147075098729176226311358940239389956702741225704073 has 136 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c136

name 名前Erik Branger
date 日付May 28, 2015 20:48:46 UTC 2015 年 5 月 29 日 (金) 5 時 48 分 46 秒 (日本時間)
composite number 合成数
1551837671603680506622203510231311484804031610249732530763344735615246264912351855954147075098729176226311358940239389956702741225704073<136>
prime factors 素因数
1964578180811302531814709999567290481702606383558451199998611<61>
789908839852240171448540043614359747533858378977047492455227731513045625843<75>
factorization results 素因数分解の結果
Number: 77797_234
N = 1551837671603680506622203510231311484804031610249732530763344735615246264912351855954147075098729176226311358940239389956702741225704073 (136 digits)
Divisors found:
r1=1964578180811302531814709999567290481702606383558451199998611 (pp61)
r2=789908839852240171448540043614359747533858378977047492455227731513045625843 (pp75)
Version: Msieve v. 1.51 (SVN 845)
Total time: 174.72 hours.
Factorization parameters were as follows:
# Murphy_E = 3.794e-11, selected by Erik Branger
# expecting poly E from 4.02e-011 to > 4.63e-011
n: 1551837671603680506622203510231311484804031610249732530763344735615246264912351855954147075098729176226311358940239389956702741225704073
Y0: -341115527299283368402776655
Y1: 41254549775813
c0: 521809896593782171814812527411936
c1: 4926815841571999987523021560
c2: -11240027751891552042172
c3: -7291458426740621
c4: -2750468344
c5: 336
skew: 1804086.41
type: gnfs
# selected mechanically
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22125975
Relations: 3663306 relations
Pruned matrix : 2155821 x 2156058
Polynomial selection time: 0.00 hours.
Total sieving time: 170.18 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.82 hours.
time per square root: 0.58 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,13500000,13500000,28,28,55,55,2.6,2.6,100000
total time: 174.72 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:09:00 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 0 秒 (日本時間)
4511e6585 / 4409CypMay 23, 2015 12:57:52 UTC 2015 年 5 月 23 日 (土) 21 時 57 分 52 秒 (日本時間)

7×10238+1739

c235

name 名前Serge Batalov
date 日付January 9, 2015 21:38:15 UTC 2015 年 1 月 10 日 (土) 6 時 38 分 15 秒 (日本時間)
composite number 合成数
1021912728652973036102716827982890261171695937166965941108629323055811033737718798814581234762551278120848479539847297040832712886319508313989985255259200864246193375085767675440517379815763733777135432634053051869370355771617103899327<235>
prime factors 素因数
436630343889533882229900334208790373<36>
composite cofactor 合成数の残り
2340452840610440430656267083378619324196055625574512537223330827550412153443138337905102804735472653355429822065579816522103690999660116168443804518176077722211985510866615293834539250611653077698899<199>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4255170289
Step 1 took 22792ms
Step 2 took 15456ms
********** Factor found in step 2: 436630343889533882229900334208790373
Found probable prime factor of 36 digits: 436630343889533882229900334208790373
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:09:00 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 0 秒 (日本時間)
1CypJanuary 9, 2015 01:01:04 UTC 2015 年 1 月 9 日 (金) 10 時 1 分 4 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 21:35:08 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 8 秒 (日本時間)

7×10239+1739

c236

composite cofactor 合成数の残り
18514110396995424369859028273691449125869501970430320823084450792139437700018514110396995424369859028273691449125869501970430320823084450792139437700018514110396995424369859028273691449125869501970430320823084450792139437700018514110397<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:09:01 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 1 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 21:35:10 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 10 秒 (日本時間)

7×10240+1739

c222

composite cofactor 合成数の残り
186050606086341094402175103709938700387721958568902080789691988563824690834574050650832029825137362637518443015507000703604432008426647322062443965645348597421682961587332581268630366215856009525035453924850037678419400409<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:09:01 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 1 秒 (日本時間)
4511e6585 / 4409CypJune 24, 2015 06:04:43 UTC 2015 年 6 月 24 日 (水) 15 時 4 分 43 秒 (日本時間)

7×10243+1739

c213

composite cofactor 合成数の残り
712317481230887575920242247644649692073869815853037348350595638708684415844733134310815100838642659872114959078272007921662562481092151504728573734529156028077458993445397214121931321076545557053112989112939771299<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6581300Serge BatalovJanuary 9, 2015 00:09:02 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 2 秒 (日本時間)
281CypJanuary 9, 2015 00:53:53 UTC 2015 年 1 月 9 日 (金) 9 時 53 分 53 秒 (日本時間)
4511e6504 / 4347CypAugust 3, 2015 20:42:54 UTC 2015 年 8 月 4 日 (火) 5 時 42 分 54 秒 (日本時間)

7×10244+1739

c219

composite cofactor 合成数の残り
964844242470568159571499994231308120235392312501056492396653069984101246344570992463777758832772389887984487280380913601690113506444462191777774241218081434691517415132200502787704262429330842785678825925884665248490013<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:09:02 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 2 秒 (日本時間)
4511e6585 / 4409CypAugust 3, 2015 22:55:26 UTC 2015 年 8 月 4 日 (火) 7 時 55 分 26 秒 (日本時間)

7×10245+1739

c245

composite cofactor 合成数の残り
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:09:03 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 3 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 18:41:17 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 17 秒 (日本時間)
4511e62100Serge BatalovJanuary 9, 2015 20:57:04 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 4 秒 (日本時間)
5043e670001000Serge BatalovJanuary 11, 2015 21:22:46 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 46 秒 (日本時間)
3000Dmitry DomanovApril 26, 2017 15:42:43 UTC 2017 年 4 月 27 日 (木) 0 時 42 分 43 秒 (日本時間)
1200Dmitry DomanovMay 1, 2017 17:58:02 UTC 2017 年 5 月 2 日 (火) 2 時 58 分 2 秒 (日本時間)
1800Dmitry DomanovMay 2, 2017 13:34:59 UTC 2017 年 5 月 2 日 (火) 22 時 34 分 59 秒 (日本時間)

7×10246+1739

c236

name 名前Serge Batalov
date 日付January 9, 2015 03:55:20 UTC 2015 年 1 月 9 日 (金) 12 時 55 分 20 秒 (日本時間)
composite number 合成数
40560939953437795599715796370563909471943622520932477627079771223094570106790544588507274571352547616785232047140455739021116107719028761821374906613297999886393987401894787866519789497758387302667044404372946400120790706322601494547609<236>
prime factors 素因数
2614404613613570134678179555397967663143<40>
15514408038538225364605285725007377124047631769642393713725758897002912172572537414104077799971690265147134207389235977461230537616712709834962843941637586449925066210054250753606214729329339987263<197>
factorization results 素因数分解の結果
Input number is 40560939953437795599715796370563909471943622520932477627079771223094570106790544588507274571352547616785232047140455739021116107719028761821374906613297999886393987401894787866519789497758387302667044404372946400120790706322601494547609 (236 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1100064635
Step 1 took 22960ms
Step 2 took 15445ms
********** Factor found in step 2: 2614404613613570134678179555397967663143
Found probable prime factor of 40 digits: 2614404613613570134678179555397967663143
Probable prime cofactor 15514408038538225364605285725007377124047631769642393713725758897002912172572537414104077799971690265147134207389235977461230537616712709834962843941637586449925066210054250753606214729329339987263 has 197 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:09:04 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 4 秒 (日本時間)

7×10249+1739

c244

composite cofactor 合成数の残り
1103454711775264738489903310569062629409621778286628036293571288612836047280196944596957649250525677942870366298097029294988597371917676603591618977718569550671665001238233822999243502976884357788569564858939866920209032155143210293403878769421<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:09:04 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 4 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 18:41:19 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 19 秒 (日本時間)
4511e639502100Serge BatalovJanuary 9, 2015 20:57:05 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 5 秒 (日本時間)
1850Serge BatalovMarch 18, 2015 22:33:20 UTC 2015 年 3 月 19 日 (木) 7 時 33 分 20 秒 (日本時間)

7×10250+1739

c224

name 名前Dmitry Domanov
date 日付April 21, 2015 14:23:14 UTC 2015 年 4 月 21 日 (火) 23 時 23 分 14 秒 (日本時間)
composite number 合成数
50031334481908365071768763543902854627435220584079176074223373142430848063759623072371702610292777707881757743594120820546338670676646009126907870825829107307209573623046759195667005897067879597046804058993472544161069866609<224>
prime factors 素因数
682515134131949751078640035400219<33>
composite cofactor 合成数の残り
73304359097531562041333770370998929633845439125967967405668222256141696018762106919432000596535874007427022606544861142224475560900362691293918122047269072314306567375370295457758437876531811<191>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2433544730
Step 1 took 132924ms
Step 2 took 39395ms
********** Factor found in step 2: 682515134131949751078640035400219
Found probable prime factor of 33 digits: 682515134131949751078640035400219
Composite cofactor 73304359097531562041333770370998929633845439125967967405668222256141696018762106919432000596535874007427022606544861142224475560900362691293918122047269072314306567375370295457758437876531811 has 191 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:09:05 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 5 秒 (日本時間)
4511e6600 / 2725Dmitry DomanovApril 21, 2015 10:57:46 UTC 2015 年 4 月 21 日 (火) 19 時 57 分 46 秒 (日本時間)
5043e6480 / 7407Dmitry DomanovJune 7, 2015 21:06:59 UTC 2015 年 6 月 8 日 (月) 6 時 6 分 59 秒 (日本時間)

7×10251+1739

c241

composite cofactor 合成数の残り
4464836946557527505270391774075175970531741774703052276898362441077604141597534064058716354167144860669796876428390735604223185145199836147660967813407027932236526904169578630851605319261258432907037335785889342107770943508184411082001128777<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10253+1739

c249

composite cofactor 合成数の残り
848083936078702189268103563164080010661626624989398950799016222634148705460448999866729667187632513115012297217073141181744387501665879160154593586062346284786585735228195156229176510498067580174220671440167678309647560547135293618774155247822241607<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10254+1739

c252

composite cofactor 合成数の残り
121338186860807765643959091697001213381868608077656439590916970012133818686080776564395909169700121338186860807765643959091697001213381868608077656439590916970012133818686080776564395909169700121338186860807765643959091697001213381868608077656439590917<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10255+1739

c255

name 名前Dmitry Domanov
date 日付November 5, 2018 21:37:02 UTC 2018 年 11 月 6 日 (火) 6 時 37 分 2 秒 (日本時間)
composite number 合成数
777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797<255>
prime factors 素因数
52343966112403769219565991641167968943763025849<47>
14858976794146106150414592872410620527419467874055582442195701010289802656730097268974252113975021846731944258173902117475624719612276741181741121763658081023476686079136253162108898110504440830179615710462253<209>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4151607578
Step 1 took 133874ms
Step 2 took 40006ms
********** Factor found in step 2: 52343966112403769219565991641167968943763025849
Found probable prime factor of 47 digits: 52343966112403769219565991641167968943763025849
Probable prime cofactor 14858976794146106150414592872410620527419467874055582442195701010289802656730097268974252113975021846731944258173902117475624719612276741181741121763658081023476686079136253162108898110504440830179615710462253 has 209 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400 / 3928Dmitry DomanovNovember 4, 2018 17:19:32 UTC 2018 年 11 月 5 日 (月) 2 時 19 分 32 秒 (日本時間)

7×10256+1739

c180

composite cofactor 合成数の残り
107292603968110206070385098310141709975715429011555869367347350620200179985481301601676415612244265949439830675750825803151329930354364827729839304116010124599658643454265096087459<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10257+1739

c257

composite cofactor 合成数の残り
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400 / 3928Dmitry DomanovNovember 5, 2018 21:34:06 UTC 2018 年 11 月 6 日 (火) 6 時 34 分 6 秒 (日本時間)

7×10258+1739

c201

composite cofactor 合成数の残り
168005106663836006751912698684827403132987342139417090570355684713424746988675051121085501047822417336203957336093514310790215588730498321053995235020334448726476022578516599177804948800056212222851501<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10260+1739

c253

composite cofactor 合成数の残り
5294238377938539595083186363385162338781838254407319202874965057081305895292504666133718378752642193656478366263382596145808074616572159595541969934821950641407189804125810556404259783527517299358783780937364115336132669438866018913575846813239471327339<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10261+1739

c252

composite cofactor 合成数の残り
870351810760408431650390696768812051639873283425841118741872120923535384279005308978565082906537330607096537103859312718613281520166041570608812582415221557553319076416134638415876956339328473393512936449831554615915285812456940206743441242891739002361<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10262+1739

c249

composite cofactor 合成数の残り
286516598681848219770391199698938052186301102242104721909228094835829767389446491346778632779259033332204217623641420067503914786964619061124116625072239773540125650202387837644312271572919689835299986134681901017869468288710634178517992577660265597<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10263+1739

c263

composite cofactor 合成数の残り
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400 / 3928Dmitry DomanovNovember 5, 2018 21:39:33 UTC 2018 年 11 月 6 日 (火) 6 時 39 分 33 秒 (日本時間)

7×10264+1739

c186

composite cofactor 合成数の残り
104783813504733047334803077150213082522318538604569172432578531816028672133611395594686648668539526572133812226300935900020828019631937816390842254960733724588588353435431343104099246271<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10265+1739

c250

composite cofactor 合成数の残り
1646530746365855503345865300714400373571851654617565776052195087416222591725404861133735622561431655848480492081002051351536348269486531929634277956404488118699561519754319261871962883303719022044532975548211957651903772650187057488775190127502065991<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10266+1739

c196

composite cofactor 合成数の残り
5898121384781859471695099896286175086069325070640754635210792389673840048651162338108143613107449392026040147885596635878840570460332471772201769456715994173731363767689527550311079755930342709097<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10267+1739

c251

composite cofactor 合成数の残り
58631426722488887872176865057946729788644085667170083887679782710930857338073226953458435702963975654028862886192505767316636998775753717002087704931676884465988127939300608795870519100629858045517745533777497914603253727878957454077464564489645394593<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10268+1739

c254

composite cofactor 合成数の残り
87119271593621614397741422490574397765497145780971838749321565863493145882883577338469237934166719078995096818892859226200113590734833923806032695255352014317887038766526820251048655945103525792735863550255296191655629231781195070676113067899413964748527<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10269+1739

c222

composite cofactor 合成数の残り
695642851409984154314841232613243357362553342021345293398738717591251716517285379515407059964694995310668341830074126812409137236714795284787232628665299066976749015582077468859915514983189970679173537449709774218557397287<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10271+1739

c216

composite cofactor 合成数の残り
104165716881140278234069300075082480712494279623834891618937965349415489274325062820923406591232978823300318308484130223770930458196468878036527800676522745713669341662788840147728221295453711863263833067014111988613<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10272+1739

c238

composite cofactor 合成数の残り
2979648089630125668387037062751574266675030341155884995231623331190641058657652029334584013710544143342885226341643559972475484630720300288127343889730010368964817255278220280242981366936605173792456605612575425533506699727690253128542811<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10273+1739

c233

composite cofactor 合成数の残り
29526196313853208704855768566252297062032930429968977586614121723588604910801243352469022688688711488763668102140343226515794272096832576222115008201393411901676531613529690243606905484910904195102897339644515606949539481331692089959<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10276+1739

c274

composite cofactor 合成数の残り
1202129486518976472608620985746178945560707539069208311866735359780182036750815730722995019749270135668899192855916194401511248497338141851279409239223767817276318049115576163489610166580800274772454061480336596256225313412330413876008930104756998110939378327322685900738451<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10277+1739

c244

composite cofactor 合成数の残り
5041159800803718326571853995579636395648181715319853564396812435078027405688073799772400483899014301665213566076831159464836820936629452108749495923215882204453369438709144295951588153656780964940569368434009795741877924715573365567028028695307<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10279+1739

c238

composite cofactor 合成数の残り
1363809000762821908531719789427102345338625893835198476761440257126884097519205209694624919629020325861693769215519526081481891857851734432893845691142786894194533080533370089009537187270422918672103661621373485943425074928685072968160833<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10280+1739

c261

composite cofactor 合成数の残り
837770445762689172539928239705699871189050964019471495679292364600793703113663122959217747761245338127025067451730453033128704922917807849127993912598668821790706876105111475785674019182662864394005170588364444174287651546141734179810342030342080881178130834693<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10281+1739

c266

composite cofactor 合成数の残り
40362518591502595290110195533195240592011578525496265868874017727935858445312886001498773400948477265444953023682649616854857066383821406410049855103214010587279508858847518461232869794341236108838944533634551640571158747914213866735507359699199309389710471901980989<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10282+1739

c230

composite cofactor 合成数の残り
19900364898777653003608248494392443278281788862026262815251066411418463573489514393074443513046108214764960385467951000122528825529269557677529919052527901185459306807575465149344482212984651119343677934404122080965121489398843943<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10283+1739

c210

composite cofactor 合成数の残り
258618639248518782154361103814064268314779638879990442109063346548389713044346831816064870975123129521775886953543276877366405094465611748713376713292500660651415100111994297158942987716104708793766370498701639<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10284+1739

c267

composite cofactor 合成数の残り
272034713706304942351923095621660093117453027096046826147095563829114184087822639557137476033061322722865786478394609671461720524787134062386914098778074682386534321875562903104142626653827082202553130581472077804971326674168982424358167467394080714599914410359525781<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10285+1739

c268

composite cofactor 合成数の残り
4021990763689550561980543435892900529702105225919586451338029634567120719760514310231609939816297904861690191356297268833521013705820266489984264717285463913036923343509588486704958296470636808641717900230142012062123196221525395078653051484041425238920950530502766501<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10287+1739

c248

composite cofactor 合成数の残り
16700337467617942818316966034538902815111148452453709705114967250717226680433668010679054730088630050431611354772911618100739974340033088607376571873119149595972042252609205711249102656763888533128044267394668871743897500126461174091618714384402799<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10288+1739

c266

composite cofactor 合成数の残り
20419634652339625300816026500313454689249339283647019363250159529306078027673741292582427911948667101073629268123832346278050762591527724576051678821481317868775448079727004551926198763262104382841161987017630855867059748155573920484663267975876226327422453943332761<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10290+1739

c274

composite cofactor 合成数の残り
7398388442280256511674737415739827516052864917188872401726172944309763221186006159551616572908320612713496247647278707341244933950629249449332146480449749394696323187439447312775301076679924505391481488456217241323396365717862235891278463664391767303433874398771906898092907<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10291+1739

c279

composite cofactor 合成数の残り
149286141583772838403071809047805920053994037453024345500190035037898491564742015635324131096503505108467999857202118455577871276708776023891471709913423393042281658187396532498166201903035384265977089709934164221748858788185072307721546716967536592844582185247782728003908348723<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10292+1739

c292

composite cofactor 合成数の残り
2592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592599<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10293+1739

c237

composite cofactor 合成数の残り
858571611091597989213171349610902041569994231418412982010231907518492066268068248628949233706892985127329832028211474187452204657640708797094854358861854530879003638795031648446948156542875969887146178808628336251032650508010643251291271<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10294+1739

c281

composite cofactor 合成数の残り
34076208114989020431712906428708746842234108631731977810356119717253583194094808097909003240899040379955676673837825719733669693527764566285764297085454735817662496403716759967650838949956048864903768186060749088601157631362998072037159052586400356161180891389688000184992385584869<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10295+1739

c235

composite cofactor 合成数の残り
2451067521205067594507494400761822425084932879023351125079560197066596303518569436889378938712962569225540169888456506243628215268897792053728801487872322191634511568245861185398708288398697584490557731749736787775093029010748372008117<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10297+1739

c264

composite cofactor 合成数の残り
134274824406425416038822158615808620710578668649403769937096216744186725319687114527702540822135328109112681215097398410674536191547961200390504235619594118849908047527218831160543761773936497817379043087367160566394373940135715531501958497215292999321709062257293<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10298+1739

c287

composite cofactor 合成数の残り
25187992547337329333385025667386867458244471724254938211404718520883068162103296472043870239086100516308538087884245549091144623837868797620035373487591329680152430531247054617814300363992037215426141966703659985221328511002744211372444785484042950142658923630594321216977686674526411219<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10300+1739

c247

composite cofactor 合成数の残り
1266399787328099833296424281773370570906331105585037005872638887761915190211406938049082739519811048441400922230721050345935699753939501268740854545811040469148839320487209512876299872293054814597464192784302288327028958866596778724838533438010837<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000800Dmitry DomanovOctober 25, 2018 08:18:36 UTC 2018 年 10 月 25 日 (木) 17 時 18 分 36 秒 (日本時間)
1200Dmitry DomanovOctober 29, 2018 15:17:42 UTC 2018 年 10 月 30 日 (火) 0 時 17 分 42 秒 (日本時間)
5043e6560 / 7010Dmitry DomanovNovember 4, 2018 17:14:32 UTC 2018 年 11 月 5 日 (月) 2 時 14 分 32 秒 (日本時間)