Table of contents 目次

646×10114-79

c109

name 名前KTakahashi
date 日付January 8, 2015 13:48:19 UTC 2015 年 1 月 8 日 (木) 22 時 48 分 19 秒 (日本時間)
composite number 合成数
1268614803796456661841276206226203174752535620764438098699657454168594897344937089794458734918897210118291791<109>
prime factors 素因数
1536377992126217400536487772931126135592637<43>
825717896440836738681985093102248007018138800819153707829445013243<66>
factorization results 素因数分解の結果
Number: 71777_114
N=1268614803796456661841276206226203174752535620764438098699657454168594897344937089794458734918897210118291791
  ( 109 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=1536377992126217400536487772931126135592637 (pp43)
 r2=825717896440836738681985093102248007018138800819153707829445013243 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.78 hours.
Scaled time: 3.69 units (timescale=2.068).
Factorization parameters were as follows:
n: 1268614803796456661841276206226203174752535620764438098699657454168594897344937089794458734918897210118291791
m: 100000000000000000000000
c5: 323
c0: -35
skew: 0.64
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, 650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123622 x 123870
Total sieving time: 1.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 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: 1.78 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)

646×10115-79

c98

name 名前KTakahashi
date 日付January 8, 2015 13:50:32 UTC 2015 年 1 月 8 日 (木) 22 時 50 分 32 秒 (日本時間)
composite number 合成数
84042783162126903854676795705255965384556143557785171768736915993601486713479357853958247799111357<98>
prime factors 素因数
79418468626146786015453822731989582698044809901<47>
1058227193447264026844719660738257534169991139647057<52>
factorization results 素因数分解の結果
Number: 71777_115
N=84042783162126903854676795705255965384556143557785171768736915993601486713479357853958247799111357
  ( 98 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=79418468626146786015453822731989582698044809901 (pp47)
 r2=1058227193447264026844719660738257534169991139647057 (pp52)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.71 hours.
Scaled time: 3.53 units (timescale=2.068).
Factorization parameters were as follows:
n: 84042783162126903854676795705255965384556143557785171768736915993601486713479357853958247799111357
m: 100000000000000000000000
c5: 646
c0: -7
skew: 0.40
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, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 103745 x 103970
Total sieving time: 1.64 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 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: 1.71 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)

646×10116-79

c106

name 名前KTakahashi
date 日付January 8, 2015 13:54:02 UTC 2015 年 1 月 8 日 (木) 22 時 54 分 2 秒 (日本時間)
composite number 合成数
1181910229908216531896873523007814583574778288807943103247317055182414633885194044156543125023099863733361<106>
prime factors 素因数
631910477271842388669602096567603<33>
45822119888241495019976876530999853<35>
40818191440963846146452833338359973079<38>
factorization results 素因数分解の結果
Number: 71777_116
N=1181910229908216531896873523007814583574778288807943103247317055182414633885194044156543125023099863733361
  ( 106 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=631910477271842388669602096567603 (pp33)
 r2=45822119888241495019976876530999853 (pp35)
 r3=40818191440963846146452833338359973079 (pp38)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.77 hours.
Scaled time: 3.15 units (timescale=1.781).
Factorization parameters were as follows:
n: 1181910229908216531896873523007814583574778288807943103247317055182414633885194044156543125023099863733361
m: 200000000000000000000000000000
c4: 323
c0: -56
skew: 0.65
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, 650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73220 x 73447
Total sieving time: 1.74 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119.000,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 1.77 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)

646×10122-79

c114

name 名前KTakahashi
date 日付January 8, 2015 14:14:49 UTC 2015 年 1 月 8 日 (木) 23 時 14 分 49 秒 (日本時間)
composite number 合成数
460174172518011909385985338017150498692222104136899318618373893885181848171386489622334567447897551479649115819771<114>
prime factors 素因数
317408559077141230423299295788685446327229<42>
1449785014795942252758739180131116751522015767062458431306665853539742999<73>
factorization results 素因数分解の結果
Number: 71777_122
N=460174172518011909385985338017150498692222104136899318618373893885181848171386489622334567447897551479649115819771
  ( 114 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=317408559077141230423299295788685446327229 (pp42)
 r2=1449785014795942252758739180131116751522015767062458431306665853539742999 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.64 hours.
Scaled time: 5.48 units (timescale=2.075).
Factorization parameters were as follows:
n: 460174172518011909385985338017150498692222104136899318618373893885181848171386489622334567447897551479649115819771
m: 5000000000000000000000000
c5: 2584
c0: -875
skew: 0.81
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 : 144015 x 144263
Total sieving time: 2.54 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,126.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.64 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 14:14:14 UTC 2015 年 1 月 8 日 (木) 23 時 14 分 14 秒 (日本時間)

646×10127-79

c125

name 名前KTakahashi
date 日付January 8, 2015 14:47:30 UTC 2015 年 1 月 8 日 (木) 23 時 47 分 30 秒 (日本時間)
composite number 合成数
34520164371556667040724175336785349770489000037405750867011868310382233337073908420034520164371556667040724175336785349770489<125>
prime factors 素因数
151648673111876891754536368890377645831<39>
227632485423000385300035453294423157884496496786536048329013269582273795496090379678719<87>
factorization results 素因数分解の結果
Number: 71777_127
N=34520164371556667040724175336785349770489000037405750867011868310382233337073908420034520164371556667040724175336785349770489
  ( 125 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=151648673111876891754536368890377645831 (pp39)
 r2=227632485423000385300035453294423157884496496786536048329013269582273795496090379678719 (pp87)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.38 hours.
Scaled time: 7.60 units (timescale=1.736).
Factorization parameters were as follows:
n: 34520164371556667040724175336785349770489000037405750867011868310382233337073908420034520164371556667040724175336785349770489
m: 50000000000000000000000000
c5: 2584
c0: -875
skew: 0.81
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, 1150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 122477 x 122702
Total sieving time: 4.30 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 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: 4.38 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 14:46:58 UTC 2015 年 1 月 8 日 (木) 23 時 46 分 58 秒 (日本時間)

646×10132-79

c115

name 名前KTakahashi
date 日付January 8, 2015 15:57:27 UTC 2015 年 1 月 9 日 (金) 0 時 57 分 27 秒 (日本時間)
composite number 合成数
6406624767937999595816311900652315547160287789395990363737835062017304271536075370743232682636380564961640240732759<115>
prime factors 素因数
181275619505142681325802605321681412137932617415817<51>
35341899729413129756588534776692063965347306289290174729185372127<65>
factorization results 素因数分解の結果
Number: 71777_132
N=6406624767937999595816311900652315547160287789395990363737835062017304271536075370743232682636380564961640240732759
  ( 115 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=181275619505142681325802605321681412137932617415817 (pp51)
 r2=35341899729413129756588534776692063965347306289290174729185372127 (pp65)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.77 hours.
Scaled time: 14.05 units (timescale=2.075).
Factorization parameters were as follows:
n: 6406624767937999595816311900652315547160287789395990363737835062017304271536075370743232682636380564961640240732759
m: 500000000000000000000000000
c5: 2584
c0: -875
skew: 0.81
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, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157255 x 157482
Total sieving time: 6.68 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,136.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 6.77 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 15:56:55 UTC 2015 年 1 月 9 日 (金) 0 時 56 分 55 秒 (日本時間)

646×10133-79

c121

name 名前KTakahashi
date 日付January 8, 2015 15:58:11 UTC 2015 年 1 月 9 日 (金) 0 時 58 分 11 秒 (日本時間)
composite number 合成数
5484463537751967463805053811635581199708761075304170441146814068987098558906962046890225549834603561953140810634284550329<121>
prime factors 素因数
43519838434412781494200080105692680079446552615379722267<56>
126022148405201679409434418312186201359533281971005106610442899387<66>
factorization results 素因数分解の結果
Number: 71777_133
N=5484463537751967463805053811635581199708761075304170441146814068987098558906962046890225549834603561953140810634284550329
  ( 121 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=43519838434412781494200080105692680079446552615379722267 (pp56)
 r2=126022148405201679409434418312186201359533281971005106610442899387 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 9.39 hours.
Scaled time: 19.49 units (timescale=2.075).
Factorization parameters were as follows:
n: 5484463537751967463805053811635581199708761075304170441146814068987098558906962046890225549834603561953140810634284550329
m: 1000000000000000000000000000
c5: 323
c0: -350
skew: 1.02
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, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 173836 x 174068
Total sieving time: 9.28 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 9.39 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 15:57:40 UTC 2015 年 1 月 9 日 (金) 0 時 57 分 40 秒 (日本時間)

646×10137-79

c133

name 名前Jo Yeong Uk
date 日付January 10, 2015 15:41:09 UTC 2015 年 1 月 11 日 (日) 0 時 41 分 9 秒 (日本時間)
composite number 合成数
1865776338992729739669036115971227418293798370287690869858143523083075828760664998500880481804680539666852637778845833644897764554449<133>
prime factors 素因数
86894169004909721616891817322816518727212843786204117<53>
21471824408463001231034270671614823716303641316894025206398183199438352208560397<80>
factorization results 素因数分解の結果
Number: 71777_137
N=1865776338992729739669036115971227418293798370287690869858143523083075828760664998500880481804680539666852637778845833644897764554449
  ( 133 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=86894169004909721616891817322816518727212843786204117
 r2=21471824408463001231034270671614823716303641316894025206398183199438352208560397
Version: 
Total time: 2.15 hours.
Scaled time: 11.28 units (timescale=5.255).
Factorization parameters were as follows:
n: 1865776338992729739669036115971227418293798370287690869858143523083075828760664998500880481804680539666852637778845833644897764554449
m: 2000000000000000000000000000
deg: 5
c5: 8075
c0: -28
skew: 0.32
# Murphy_E = 2.677e-09
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3840003
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 262005 x 262253
Total sieving time: 1.90 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,50000
total time: 2.15 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 15:58:50 UTC 2015 年 1 月 9 日 (金) 0 時 58 分 50 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:00:25 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 25 秒 (日本時間)

646×10138-79

c111

name 名前Jo Yeong Uk
date 日付January 11, 2015 11:56:40 UTC 2015 年 1 月 11 日 (日) 20 時 56 分 40 秒 (日本時間)
composite number 合成数
159823146075696170130918989044191117428666567577098761768229051943274336854798119989146343759242343667166788233<111>
prime factors 素因数
35299731547185878383336860306615953844287912128992259<53>
4527602309441285075766296105613614563364397569303478976387<58>
factorization results 素因数分解の結果
Number: 71777_138
N=159823146075696170130918989044191117428666567577098761768229051943274336854798119989146343759242343667166788233
  ( 111 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=35299731547185878383336860306615953844287912128992259
 r2=4527602309441285075766296105613614563364397569303478976387
Version: 
Total time: 3.02 hours.
Scaled time: 15.83 units (timescale=5.238).
Factorization parameters were as follows:
n: 159823146075696170130918989044191117428666567577098761768229051943274336854798119989146343759242343667166788233
m: 2000000000000000000000000000
deg: 5
c5: 40375
c0: -14
skew: 0.20
# Murphy_E = 1.883e-09
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [900000, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4269378
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 318483 x 318731
Total sieving time: 2.68 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,50000
total time: 3.02 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 15:59:05 UTC 2015 年 1 月 9 日 (金) 0 時 59 分 5 秒 (日本時間)

646×10140-79

c126

name 名前Jo Yeong Uk
date 日付January 12, 2015 12:27:24 UTC 2015 年 1 月 12 日 (月) 21 時 27 分 24 秒 (日本時間)
composite number 合成数
227098240851362935144199831313632967122592402762782391618447357957051457424313368228112371079492291418551069280941365427669991<126>
prime factors 素因数
16000594524638210998349016939878290903478407<44>
14193112668511787514774275613544892641385571904443012757790209562305172137443230113<83>
factorization results 素因数分解の結果
Number: 71777_140
N=227098240851362935144199831313632967122592402762782391618447357957051457424313368228112371079492291418551069280941365427669991
  ( 126 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=16000594524638210998349016939878290903478407
 r2=14193112668511787514774275613544892641385571904443012757790209562305172137443230113
Version: 
Total time: 2.29 hours.
Scaled time: 12.02 units (timescale=5.252).
Factorization parameters were as follows:
n: 227098240851362935144199831313632967122592402762782391618447357957051457424313368228112371079492291418551069280941365427669991
m: 10000000000000000000000000000
deg: 5
c5: 646
c0: -7
skew: 0.40
# Murphy_E = 2.456e-09
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [950000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4251489
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 271598 x 271846
Total sieving time: 2.04 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,48,48,2.3,2.3,50000
total time: 2.29 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 15:59:22 UTC 2015 年 1 月 9 日 (金) 0 時 59 分 22 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:00:26 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 26 秒 (日本時間)

646×10141-79

c137

name 名前KTakahashi
date 日付January 8, 2015 16:00:14 UTC 2015 年 1 月 9 日 (金) 1 時 0 分 14 秒 (日本時間)
composite number 合成数
40102207241626786387274712969693222460041968263510486385766224369118097213585659401028218110566503271899359103409004211911237054389829087<137>
prime factors 素因数
158593155208764947905181842332259<33>
252862156559266580237889146331908302657748606480024492663079656119621198233091004873400802263304253131093<105>
factorization results 素因数分解の結果
Input number is 40102207241626786387274712969693222460041968263510486385766224369118097213585659401028218110566503271899359103409004211911237054389829087 (137 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1706135355
Step 1 took 3744ms
Step 2 took 2184ms
********** Factor found in step 2: 158593155208764947905181842332259
Found probable prime factor of 33 digits: 158593155208764947905181842332259
Probable prime cofactor 252862156559266580237889146331908302657748606480024492663079656119621198233091004873400802263304253131093 has 105 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)

646×10142-79

c106

name 名前Dmitry Domanov
date 日付January 12, 2015 18:08:55 UTC 2015 年 1 月 13 日 (火) 3 時 8 分 55 秒 (日本時間)
composite number 合成数
1000228530171096801192302172336922974013606825329549399380778769496155344912166453723278411961476610481321<106>
prime factors 素因数
3767342342347682106407014926053600771373862887863<49>
265499771265222405813479690388207171764400145042640401567<57>
factorization results 素因数分解の結果
N=1000228530171096801192302172336922974013606825329549399380778769496155344912166453723278411961476610481321
  ( 106 digits)
Divisors found:
 r1=3767342342347682106407014926053600771373862887863 (pp49)
 r2=265499771265222405813479690388207171764400145042640401567 (pp57)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 6.51 hours.
Scaled time: 11.67 units (timescale=1.793).
Factorization parameters were as follows:
n: 1000228530171096801192302172336922974013606825329549399380778769496155344912166453723278411961476610481321
skew: 6179958.48
c0: 175349947955988111530955227105
c1: -140485984852034293003402
c2: -134990047465788425
c3: 9686935954
c4: 1128
Y0: -30686430424573068894490554
Y1: 38250463309201
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2640000/2640000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1320000, 2070001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 280501 x 280729
Total sieving time: 6.30 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,105,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2640000,2640000,26,26,52,52,2.5,2.5,150000
total time: 6.51 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 16:00:34 UTC 2015 年 1 月 9 日 (金) 1 時 0 分 34 秒 (日本時間)
403e60--
4511e6610 / 4439Pierre JammesJanuary 12, 2015 05:36:01 UTC 2015 年 1 月 12 日 (月) 14 時 36 分 1 秒 (日本時間)

646×10145-79

c139

name 名前Cyp
date 日付January 15, 2015 11:24:17 UTC 2015 年 1 月 15 日 (木) 20 時 24 分 17 秒 (日本時間)
composite number 合成数
6663828721504301443157018524260655140539214181573246632341573756879437363987168267578792561501395931310247955279718022171385461496613757383<139>
prime factors 素因数
111671171361038836754325793207522994314260330826191283033<57>
59673670834523520311254809449488766874766908233643607849777548373512516334450321951<83>
factorization results 素因数分解の結果
01/15/15 11:27:25 v1.34.3, 
01/15/15 11:27:25 v1.34.3, ****************************
01/15/15 11:27:25 v1.34.3, Starting factorization of 6663828721504301443157018524260655140539214181573246632341573756879437363987168267578792561501395931310247955279718022171385461496613757383
01/15/15 11:27:25 v1.34.3, using pretesting plan: none
01/15/15 11:27:25 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/15/15 11:27:25 v1.34.3, ****************************
01/15/15 11:27:25 v1.34.3, nfs: commencing nfs on c139: 6663828721504301443157018524260655140539214181573246632341573756879437363987168267578792561501395931310247955279718022171385461496613757383
01/15/15 11:27:25 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/15/15 11:27:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 11:28:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
[43 lines snipped]
01/15/15 12:18:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 12:19:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 12:20:34 v1.34.3, nfs: commencing msieve filtering
01/15/15 12:21:22 v1.34.3, nfs: commencing msieve linear algebra
01/15/15 12:23:54 v1.34.3, nfs: commencing msieve sqrt
01/15/15 12:24:17 v1.34.3, prp83 = 59673670834523520311254809449488766874766908233643607849777548373512516334450321951
01/15/15 12:24:17 v1.34.3, prp57 = 111671171361038836754325793207522994314260330826191283033
01/15/15 12:24:17 v1.34.3, NFS elapsed time = 3411.3933 seconds.
01/15/15 12:24:17 v1.34.3, 
01/15/15 12:24:17 v1.34.3, 
01/15/15 12:24:17 v1.34.3, Total factoring time = 3411.3940 seconds
--
Thu Jan 15 12:20:34 2015  
Thu Jan 15 12:20:34 2015  commencing relation filtering
Thu Jan 15 12:20:34 2015  estimated available RAM is 15987.3 MB
Thu Jan 15 12:20:34 2015  commencing duplicate removal, pass 1
Thu Jan 15 12:20:46 2015  found 654968 hash collisions in 4535261 relations
Thu Jan 15 12:20:50 2015  added 183479 free relations
Thu Jan 15 12:20:50 2015  commencing duplicate removal, pass 2
Thu Jan 15 12:20:53 2015  found 496737 duplicates and 4222003 unique relations
Thu Jan 15 12:20:53 2015  memory use: 20.6 MB
Thu Jan 15 12:20:53 2015  reading ideals above 100000
Thu Jan 15 12:20:53 2015  commencing singleton removal, initial pass
Thu Jan 15 12:21:10 2015  memory use: 94.1 MB
Thu Jan 15 12:21:10 2015  reading all ideals from disk
Thu Jan 15 12:21:10 2015  memory use: 136.6 MB
Thu Jan 15 12:21:10 2015  keeping 4754014 ideals with weight <= 200, target excess is 21741
Thu Jan 15 12:21:10 2015  commencing in-memory singleton removal
Thu Jan 15 12:21:11 2015  begin with 4222003 relations and 4754014 unique ideals
Thu Jan 15 12:21:12 2015  reduce to 1636426 relations and 1502891 ideals in 16 passes
Thu Jan 15 12:21:12 2015  max relations containing the same ideal: 103
Thu Jan 15 12:21:12 2015  removing 302234 relations and 248076 ideals in 54158 cliques
Thu Jan 15 12:21:12 2015  commencing in-memory singleton removal
Thu Jan 15 12:21:12 2015  begin with 1334192 relations and 1502891 unique ideals
Thu Jan 15 12:21:12 2015  reduce to 1290024 relations and 1208800 ideals in 8 passes
Thu Jan 15 12:21:12 2015  max relations containing the same ideal: 85
Thu Jan 15 12:21:13 2015  removing 238133 relations and 183975 ideals in 54158 cliques
Thu Jan 15 12:21:13 2015  commencing in-memory singleton removal
Thu Jan 15 12:21:13 2015  begin with 1051891 relations and 1208800 unique ideals
Thu Jan 15 12:21:13 2015  reduce to 1018449 relations and 990009 ideals in 9 passes
Thu Jan 15 12:21:13 2015  max relations containing the same ideal: 77
Thu Jan 15 12:21:13 2015  relations with 0 large ideals: 532
Thu Jan 15 12:21:13 2015  relations with 1 large ideals: 132
Thu Jan 15 12:21:13 2015  relations with 2 large ideals: 2364
Thu Jan 15 12:21:13 2015  relations with 3 large ideals: 19437
Thu Jan 15 12:21:13 2015  relations with 4 large ideals: 83425
Thu Jan 15 12:21:13 2015  relations with 5 large ideals: 203522
Thu Jan 15 12:21:13 2015  relations with 6 large ideals: 303013
Thu Jan 15 12:21:13 2015  relations with 7+ large ideals: 406024
Thu Jan 15 12:21:13 2015  commencing 2-way merge
Thu Jan 15 12:21:13 2015  reduce to 618808 relation sets and 590368 unique ideals
Thu Jan 15 12:21:13 2015  commencing full merge
Thu Jan 15 12:21:20 2015  memory use: 77.8 MB
Thu Jan 15 12:21:20 2015  found 310407 cycles, need 304568
Thu Jan 15 12:21:20 2015  weight of 304568 cycles is about 21496843 (70.58/cycle)
Thu Jan 15 12:21:20 2015  distribution of cycle lengths:
Thu Jan 15 12:21:20 2015  1 relations: 29751
Thu Jan 15 12:21:20 2015  2 relations: 31501
Thu Jan 15 12:21:20 2015  3 relations: 31835
Thu Jan 15 12:21:20 2015  4 relations: 29762
Thu Jan 15 12:21:20 2015  5 relations: 27694
Thu Jan 15 12:21:20 2015  6 relations: 25351
Thu Jan 15 12:21:20 2015  7 relations: 22981
Thu Jan 15 12:21:20 2015  8 relations: 19991
Thu Jan 15 12:21:20 2015  9 relations: 17153
Thu Jan 15 12:21:20 2015  10+ relations: 68549
Thu Jan 15 12:21:20 2015  heaviest cycle: 22 relations
Thu Jan 15 12:21:20 2015  commencing cycle optimization
Thu Jan 15 12:21:20 2015  start with 1950577 relations
Thu Jan 15 12:21:22 2015  pruned 55039 relations
Thu Jan 15 12:21:22 2015  memory use: 61.0 MB
Thu Jan 15 12:21:22 2015  distribution of cycle lengths:
Thu Jan 15 12:21:22 2015  1 relations: 29751
Thu Jan 15 12:21:22 2015  2 relations: 32149
Thu Jan 15 12:21:22 2015  3 relations: 32996
Thu Jan 15 12:21:22 2015  4 relations: 30566
Thu Jan 15 12:21:22 2015  5 relations: 28603
Thu Jan 15 12:21:22 2015  6 relations: 25914
Thu Jan 15 12:21:22 2015  7 relations: 23475
Thu Jan 15 12:21:22 2015  8 relations: 20343
Thu Jan 15 12:21:22 2015  9 relations: 17220
Thu Jan 15 12:21:22 2015  10+ relations: 63551
Thu Jan 15 12:21:22 2015  heaviest cycle: 22 relations
Thu Jan 15 12:21:22 2015  RelProcTime: 48
Thu Jan 15 12:21:22 2015  
Thu Jan 15 12:21:22 2015  commencing linear algebra
Thu Jan 15 12:21:22 2015  read 304568 cycles
Thu Jan 15 12:21:22 2015  cycles contain 981065 unique relations
Thu Jan 15 12:21:27 2015  read 981065 relations
Thu Jan 15 12:21:27 2015  using 20 quadratic characters above 67107644
Thu Jan 15 12:21:30 2015  building initial matrix
Thu Jan 15 12:21:37 2015  memory use: 117.9 MB
Thu Jan 15 12:21:37 2015  read 304568 cycles
Thu Jan 15 12:21:37 2015  matrix is 304397 x 304568 (90.9 MB) with weight 27556265 (90.48/col)
Thu Jan 15 12:21:37 2015  sparse part has weight 20476595 (67.23/col)
Thu Jan 15 12:21:38 2015  filtering completed in 2 passes
Thu Jan 15 12:21:38 2015  matrix is 304227 x 304400 (90.9 MB) with weight 27548517 (90.50/col)
Thu Jan 15 12:21:38 2015  sparse part has weight 20472826 (67.26/col)
Thu Jan 15 12:21:39 2015  matrix starts at (0, 0)
Thu Jan 15 12:21:39 2015  matrix is 304227 x 304400 (90.9 MB) with weight 27548517 (90.50/col)
Thu Jan 15 12:21:39 2015  sparse part has weight 20472826 (67.26/col)
Thu Jan 15 12:21:39 2015  saving the first 48 matrix rows for later
Thu Jan 15 12:21:39 2015  matrix includes 64 packed rows
Thu Jan 15 12:21:39 2015  matrix is 304179 x 304400 (85.9 MB) with weight 21733857 (71.40/col)
Thu Jan 15 12:21:39 2015  sparse part has weight 19470780 (63.96/col)
Thu Jan 15 12:21:39 2015  using block size 65536 for processor cache size 8192 kB
Thu Jan 15 12:21:39 2015  commencing Lanczos iteration (8 threads)
Thu Jan 15 12:21:39 2015  memory use: 82.0 MB
Thu Jan 15 12:21:45 2015  linear algebra at 4.0%, ETA 0h 2m
Thu Jan 15 12:23:53 2015  lanczos halted after 4812 iterations (dim = 304173)
Thu Jan 15 12:23:54 2015  recovered 34 nontrivial dependencies
Thu Jan 15 12:23:54 2015  BLanczosTime: 152
Thu Jan 15 12:23:54 2015  
Thu Jan 15 12:23:54 2015  commencing square root phase
Thu Jan 15 12:23:54 2015  reading relations for dependency 1
Thu Jan 15 12:23:54 2015  read 152407 cycles
Thu Jan 15 12:23:54 2015  cycles contain 491644 unique relations
Thu Jan 15 12:23:57 2015  read 491644 relations
Thu Jan 15 12:23:58 2015  multiplying 491644 relations
Thu Jan 15 12:24:06 2015  multiply complete, coefficients have about 14.16 million bits
Thu Jan 15 12:24:06 2015  initial square root is modulo 136644881
Thu Jan 15 12:24:17 2015  sqrtTime: 23
--
n: 6663828721504301443157018524260655140539214181573246632341573756879437363987168267578792561501395931310247955279718022171385461496613757383
m: 100000000000000000000000000000
deg: 5
c5: 646
c0: -7
skew: 0.40
# Murphy_E = 1.596e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
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 16:00:52 UTC 2015 年 1 月 9 日 (金) 1 時 0 分 52 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:00:27 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 27 秒 (日本時間)

646×10146-79

c108

name 名前KTakahashi
date 日付January 8, 2015 16:01:38 UTC 2015 年 1 月 9 日 (金) 1 時 1 分 38 秒 (日本時間)
composite number 合成数
457409829390364414353631609167183687276669569770563679143165214296181649807229560355364546966870010326110221<108>
prime factors 素因数
186717314219099802524065937246666953<36>
2449745120335362912589131658763904187314690650589092605634949199766936357<73>
factorization results 素因数分解の結果
Input number is 457409829390364414353631609167183687276669569770563679143165214296181649807229560355364546966870010326110221 (108 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2058661742
Step 1 took 2995ms
Step 2 took 1950ms
********** Factor found in step 2: 186717314219099802524065937246666953
Found probable prime factor of 36 digits: 186717314219099802524065937246666953
Probable prime cofactor 2449745120335362912589131658763904187314690650589092605634949199766936357 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)

646×10150-79

c143

name 名前Cyp
date 日付January 14, 2015 22:18:17 UTC 2015 年 1 月 15 日 (木) 7 時 18 分 17 秒 (日本時間)
composite number 合成数
15881730697035769732127867795878498233317223773554962424001074502435827612761040917540533926339240214933805364763807249316277412592831897494567<143>
prime factors 素因数
726487743525048854844246647733553516452905151471883861<54>
21860975410231648777049643251426978561529463041748779402323179835093334240945721823147147<89>
factorization results 素因数分解の結果
01/14/15 21:10:13 v1.34.3, 
01/14/15 21:10:13 v1.34.3, ****************************
01/14/15 21:10:13 v1.34.3, Starting factorization of 15881730697035769732127867795878498233317223773554962424001074502435827612761040917540533926339240214933805364763807249316277412592831897494567
01/14/15 21:10:13 v1.34.3, using pretesting plan: none
01/14/15 21:10:13 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/14/15 21:10:13 v1.34.3, ****************************
01/14/15 21:10:13 v1.34.3, nfs: commencing nfs on c143: 15881730697035769732127867795878498233317223773554962424001074502435827612761040917540533926339240214933805364763807249316277412592831897494567
01/14/15 21:10:13 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/14/15 21:10:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 21:14:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
[22 lines snipped]
01/14/15 23:02:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 23:07:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 23:11:50 v1.34.3, nfs: commencing msieve filtering
01/14/15 23:13:34 v1.34.3, nfs: commencing msieve linear algebra
01/14/15 23:16:27 v1.34.3, nfs: commencing msieve sqrt
01/14/15 23:18:15 v1.34.3, prp89 = 21860975410231648777049643251426978561529463041748779402323179835093334240945721823147147
01/14/15 23:18:15 v1.34.3, prp54 = 726487743525048854844246647733553516452905151471883861
01/14/15 23:18:15 v1.34.3, NFS elapsed time = 7682.0739 seconds.
01/14/15 23:18:15 v1.34.3, 
01/14/15 23:18:15 v1.34.3, 
01/14/15 23:18:15 v1.34.3, Total factoring time = 7682.0746 seconds
--
Wed Jan 14 23:11:50 2015  
Wed Jan 14 23:11:50 2015  commencing relation filtering
Wed Jan 14 23:11:50 2015  estimated available RAM is 15987.3 MB
Wed Jan 14 23:11:50 2015  commencing duplicate removal, pass 1
Wed Jan 14 23:12:19 2015  found 1283058 hash collisions in 10424026 relations
Wed Jan 14 23:12:28 2015  added 361243 free relations
Wed Jan 14 23:12:28 2015  commencing duplicate removal, pass 2
Wed Jan 14 23:12:36 2015  found 755129 duplicates and 10030140 unique relations
Wed Jan 14 23:12:36 2015  memory use: 41.3 MB
Wed Jan 14 23:12:36 2015  reading ideals above 720000
Wed Jan 14 23:12:36 2015  commencing singleton removal, initial pass
Wed Jan 14 23:13:16 2015  memory use: 188.2 MB
Wed Jan 14 23:13:16 2015  reading all ideals from disk
Wed Jan 14 23:13:16 2015  memory use: 267.7 MB
Wed Jan 14 23:13:17 2015  keeping 9730651 ideals with weight <= 200, target excess is 117236
Wed Jan 14 23:13:17 2015  commencing in-memory singleton removal
Wed Jan 14 23:13:18 2015  begin with 10030140 relations and 9730651 unique ideals
Wed Jan 14 23:13:20 2015  reduce to 5177644 relations and 3816239 ideals in 12 passes
Wed Jan 14 23:13:20 2015  max relations containing the same ideal: 130
Wed Jan 14 23:13:22 2015  removing 1248211 relations and 848211 ideals in 400000 cliques
Wed Jan 14 23:13:22 2015  commencing in-memory singleton removal
Wed Jan 14 23:13:22 2015  begin with 3929433 relations and 3816239 unique ideals
Wed Jan 14 23:13:23 2015  reduce to 3737479 relations and 2758516 ideals in 8 passes
Wed Jan 14 23:13:23 2015  max relations containing the same ideal: 103
Wed Jan 14 23:13:24 2015  removing 1062619 relations and 662619 ideals in 400000 cliques
Wed Jan 14 23:13:24 2015  commencing in-memory singleton removal
Wed Jan 14 23:13:24 2015  begin with 2674860 relations and 2758516 unique ideals
Wed Jan 14 23:13:25 2015  reduce to 2522914 relations and 1928954 ideals in 8 passes
Wed Jan 14 23:13:25 2015  max relations containing the same ideal: 76
Wed Jan 14 23:13:26 2015  removing 1011509 relations and 611509 ideals in 400000 cliques
Wed Jan 14 23:13:26 2015  commencing in-memory singleton removal
Wed Jan 14 23:13:26 2015  begin with 1511405 relations and 1928954 unique ideals
Wed Jan 14 23:13:26 2015  reduce to 1335760 relations and 1118616 ideals in 11 passes
Wed Jan 14 23:13:26 2015  max relations containing the same ideal: 45
Wed Jan 14 23:13:27 2015  removing 263838 relations and 182688 ideals in 81150 cliques
Wed Jan 14 23:13:27 2015  commencing in-memory singleton removal
Wed Jan 14 23:13:27 2015  begin with 1071922 relations and 1118616 unique ideals
Wed Jan 14 23:13:27 2015  reduce to 1019158 relations and 879604 ideals in 7 passes
Wed Jan 14 23:13:27 2015  max relations containing the same ideal: 39
Wed Jan 14 23:13:27 2015  relations with 0 large ideals: 3083
Wed Jan 14 23:13:27 2015  relations with 1 large ideals: 9166
Wed Jan 14 23:13:27 2015  relations with 2 large ideals: 72285
Wed Jan 14 23:13:27 2015  relations with 3 large ideals: 222350
Wed Jan 14 23:13:27 2015  relations with 4 large ideals: 321105
Wed Jan 14 23:13:27 2015  relations with 5 large ideals: 247434
Wed Jan 14 23:13:27 2015  relations with 6 large ideals: 113439
Wed Jan 14 23:13:27 2015  relations with 7+ large ideals: 30296
Wed Jan 14 23:13:27 2015  commencing 2-way merge
Wed Jan 14 23:13:27 2015  reduce to 643676 relation sets and 504122 unique ideals
Wed Jan 14 23:13:27 2015  commencing full merge
Wed Jan 14 23:13:32 2015  memory use: 58.0 MB
Wed Jan 14 23:13:32 2015  found 323727 cycles, need 302322
Wed Jan 14 23:13:32 2015  weight of 302322 cycles is about 21339160 (70.58/cycle)
Wed Jan 14 23:13:32 2015  distribution of cycle lengths:
Wed Jan 14 23:13:32 2015  1 relations: 28050
Wed Jan 14 23:13:32 2015  2 relations: 27206
Wed Jan 14 23:13:32 2015  3 relations: 30741
Wed Jan 14 23:13:32 2015  4 relations: 31432
Wed Jan 14 23:13:32 2015  5 relations: 31371
Wed Jan 14 23:13:32 2015  6 relations: 29338
Wed Jan 14 23:13:32 2015  7 relations: 26772
Wed Jan 14 23:13:32 2015  8 relations: 23051
Wed Jan 14 23:13:32 2015  9 relations: 19484
Wed Jan 14 23:13:32 2015  10+ relations: 54877
Wed Jan 14 23:13:32 2015  heaviest cycle: 17 relations
Wed Jan 14 23:13:32 2015  commencing cycle optimization
Wed Jan 14 23:13:32 2015  start with 1817577 relations
Wed Jan 14 23:13:33 2015  pruned 66280 relations
Wed Jan 14 23:13:33 2015  memory use: 57.4 MB
Wed Jan 14 23:13:33 2015  distribution of cycle lengths:
Wed Jan 14 23:13:33 2015  1 relations: 28050
Wed Jan 14 23:13:33 2015  2 relations: 27944
Wed Jan 14 23:13:33 2015  3 relations: 32121
Wed Jan 14 23:13:33 2015  4 relations: 32863
Wed Jan 14 23:13:33 2015  5 relations: 33228
Wed Jan 14 23:13:33 2015  6 relations: 30648
Wed Jan 14 23:13:33 2015  7 relations: 27784
Wed Jan 14 23:13:33 2015  8 relations: 23686
Wed Jan 14 23:13:33 2015  9 relations: 19404
Wed Jan 14 23:13:33 2015  10+ relations: 46594
Wed Jan 14 23:13:33 2015  heaviest cycle: 17 relations
Wed Jan 14 23:13:34 2015  RelProcTime: 104
Wed Jan 14 23:13:34 2015  
Wed Jan 14 23:13:34 2015  commencing linear algebra
Wed Jan 14 23:13:34 2015  read 302322 cycles
Wed Jan 14 23:13:34 2015  cycles contain 926461 unique relations
Wed Jan 14 23:13:43 2015  read 926461 relations
Wed Jan 14 23:13:43 2015  using 20 quadratic characters above 134211140
Wed Jan 14 23:13:46 2015  building initial matrix
Wed Jan 14 23:13:51 2015  memory use: 113.6 MB
Wed Jan 14 23:13:51 2015  read 302322 cycles
Wed Jan 14 23:13:51 2015  matrix is 302193 x 302322 (89.6 MB) with weight 27041807 (89.45/col)
Wed Jan 14 23:13:51 2015  sparse part has weight 20171153 (66.72/col)
Wed Jan 14 23:13:52 2015  filtering completed in 2 passes
Wed Jan 14 23:13:53 2015  matrix is 301739 x 301910 (89.6 MB) with weight 27021109 (89.50/col)
Wed Jan 14 23:13:53 2015  sparse part has weight 20159600 (66.77/col)
Wed Jan 14 23:13:53 2015  matrix starts at (0, 0)
Wed Jan 14 23:13:53 2015  matrix is 301739 x 301910 (89.6 MB) with weight 27021109 (89.50/col)
Wed Jan 14 23:13:53 2015  sparse part has weight 20159600 (66.77/col)
Wed Jan 14 23:13:53 2015  saving the first 48 matrix rows for later
Wed Jan 14 23:13:53 2015  matrix includes 64 packed rows
Wed Jan 14 23:13:53 2015  matrix is 301691 x 301910 (85.0 MB) with weight 21313199 (70.59/col)
Wed Jan 14 23:13:53 2015  sparse part has weight 19271767 (63.83/col)
Wed Jan 14 23:13:53 2015  using block size 65536 for processor cache size 8192 kB
Wed Jan 14 23:13:54 2015  commencing Lanczos iteration (8 threads)
Wed Jan 14 23:13:54 2015  memory use: 81.3 MB
Wed Jan 14 23:14:00 2015  linear algebra at 4.0%, ETA 0h 2m
Wed Jan 14 23:16:26 2015  lanczos halted after 4771 iterations (dim = 301683)
Wed Jan 14 23:16:27 2015  recovered 34 nontrivial dependencies
Wed Jan 14 23:16:27 2015  BLanczosTime: 173
Wed Jan 14 23:16:27 2015  
Wed Jan 14 23:16:27 2015  commencing square root phase
Wed Jan 14 23:16:27 2015  reading relations for dependency 1
Wed Jan 14 23:16:27 2015  read 150968 cycles
Wed Jan 14 23:16:27 2015  cycles contain 463452 unique relations
Wed Jan 14 23:16:34 2015  read 463452 relations
Wed Jan 14 23:16:35 2015  multiplying 463452 relations
Wed Jan 14 23:16:43 2015  multiply complete, coefficients have about 13.80 million bits
Wed Jan 14 23:16:43 2015  initial square root is modulo 84585541
Wed Jan 14 23:16:54 2015  GCD is 1, no factor found
Wed Jan 14 23:16:54 2015  reading relations for dependency 2
Wed Jan 14 23:16:54 2015  read 150889 cycles
Wed Jan 14 23:16:54 2015  cycles contain 462456 unique relations
Wed Jan 14 23:17:01 2015  read 462456 relations
Wed Jan 14 23:17:02 2015  multiplying 462456 relations
Wed Jan 14 23:17:10 2015  multiply complete, coefficients have about 13.77 million bits
Wed Jan 14 23:17:10 2015  initial square root is modulo 81302141
Wed Jan 14 23:17:21 2015  GCD is 1, no factor found
Wed Jan 14 23:17:21 2015  reading relations for dependency 3
Wed Jan 14 23:17:21 2015  read 151253 cycles
Wed Jan 14 23:17:21 2015  cycles contain 463458 unique relations
Wed Jan 14 23:17:28 2015  read 463458 relations
Wed Jan 14 23:17:29 2015  multiplying 463458 relations
Wed Jan 14 23:17:37 2015  multiply complete, coefficients have about 13.80 million bits
Wed Jan 14 23:17:37 2015  initial square root is modulo 84563371
Wed Jan 14 23:17:48 2015  GCD is N, no factor found
Wed Jan 14 23:17:48 2015  reading relations for dependency 4
Wed Jan 14 23:17:48 2015  read 151332 cycles
Wed Jan 14 23:17:48 2015  cycles contain 463100 unique relations
Wed Jan 14 23:17:56 2015  read 463100 relations
Wed Jan 14 23:17:57 2015  multiplying 463100 relations
Wed Jan 14 23:18:05 2015  multiply complete, coefficients have about 13.79 million bits
Wed Jan 14 23:18:05 2015  initial square root is modulo 83373701
Wed Jan 14 23:18:15 2015  sqrtTime: 108
--
n: 15881730697035769732127867795878498233317223773554962424001074502435827612761040917540533926339240214933805364763807249316277412592831897494567
m: 1000000000000000000000000000000
deg: 5
c5: 646
c0: -7
skew: 0.40
# Murphy_E = 1.032e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
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
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 16:01:56 UTC 2015 年 1 月 9 日 (金) 1 時 1 分 56 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:00:28 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 28 秒 (日本時間)

646×10152-79

c117

name 名前Ignacio Santos
date 日付January 9, 2015 21:50:58 UTC 2015 年 1 月 10 日 (土) 6 時 50 分 58 秒 (日本時間)
composite number 合成数
207607550288060450936518905745784268491477472005954924164256464631088655918396435048956843665355591582293835965818081<117>
prime factors 素因数
134068910336505622223494500445403267<36>
1548513743917041393251290472044800526045271101185133620601353227156207131350992843<82>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3692848104
Step 1 took 5531ms
Step 2 took 2094ms
********** Factor found in step 2: 134068910336505622223494500445403267
Found probable prime factor of 36 digits: 134068910336505622223494500445403267
Probable prime cofactor 1548513743917041393251290472044800526045271101185133620601353227156207131350992843 has 82 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
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)

646×10154-79

c145

name 名前Serge Batalov
date 日付January 9, 2015 03:46:20 UTC 2015 年 1 月 9 日 (金) 12 時 46 分 20 秒 (日本時間)
composite number 合成数
2479562518413870559937544527675847454549848941090277103839330385287146604410902514559125096927116434609598016532642587272396291090892857725735079<145>
prime factors 素因数
858799799339234058209924045298319<33>
composite cofactor 合成数の残り
2887241613611998377190324472128902133951835239272228981395334649959849406243075741638931690409972998305016616041<112>
factorization results 素因数分解の結果
Input number is 2479562518413870559937544527675847454549848941090277103839330385287146604410902514559125096927116434609598016532642587272396291090892857725735079 (145 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1767234707
Step 1 took 9895ms
Step 2 took 8691ms
********** Factor found in step 2: 858799799339234058209924045298319
Found probable prime factor of 33 digits: 858799799339234058209924045298319
Composite cofactor 2887241613611998377190324472128902133951835239272228981395334649959849406243075741638931690409972998305016616041 has 112 digits

c112

name 名前Jo Yeong Uk
date 日付January 18, 2015 22:09:44 UTC 2015 年 1 月 19 日 (月) 7 時 9 分 44 秒 (日本時間)
composite number 合成数
2887241613611998377190324472128902133951835239272228981395334649959849406243075741638931690409972998305016616041<112>
prime factors 素因数
4609676105347095514126600345687406903732127629269<49>
626343705637556347716993626878967766121004844306134649298001989<63>
factorization results 素因数分解の結果
Number: 71777_154
N=2887241613611998377190324472128902133951835239272228981395334649959849406243075741638931690409972998305016616041
  ( 112 digits)
Divisors found:
 r1=4609676105347095514126600345687406903732127629269
 r2=626343705637556347716993626878967766121004844306134649298001989
Version: 
Total time: 7.09 hours.
Scaled time: 36.74 units (timescale=5.182).
Factorization parameters were as follows:
name: 71777_154
n: 2887241613611998377190324472128902133951835239272228981395334649959849406243075741638931690409972998305016616041
skew: 30453.87
# norm 1.55e+15
c5: 45600
c4: 23615617
c3: -121789994396216
c2: -317479331931605006
c1: 60229385130411420937263
c0: 432237324583431420178417479
# alpha -5.90
Y1: 270526015309
Y0: -2292469951493094379802
# Murphy_E 8.53e-10
# M 2205679603228743904613691182850932652997416773666119223516576845641812548246372848813148868438482098647464132894
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1200000, 1920001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9498225
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 373866 x 374114
Polynomial selection time: 0.92 hours.
Total sieving time: 5.73 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,53,53,2.6,2.6,60000
total time: 7.09 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)
403e6300Serge BatalovJanuary 9, 2015 00:00:29 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 29 秒 (日本時間)
4511e6600 / 4409Pierre JammesJanuary 11, 2015 20:43:42 UTC 2015 年 1 月 12 日 (月) 5 時 43 分 42 秒 (日本時間)

646×10156-79

c158

name 名前Cyp
date 日付January 11, 2015 21:02:25 UTC 2015 年 1 月 12 日 (月) 6 時 2 分 25 秒 (日本時間)
composite number 合成数
71777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<158>
prime factors 素因数
211359529528354498450156895335373319925857833540147<51>
339600385835210610477539953319872871864850784731983548985510280217220816838139327954273027378623498063385291<108>
factorization results 素因数分解の結果
01/11/15 17:24:20 v1.34.3, 
01/11/15 17:24:20 v1.34.3, ****************************
01/11/15 17:24:20 v1.34.3, Starting factorization of 71777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
01/11/15 17:24:20 v1.34.3, using pretesting plan: none
01/11/15 17:24:20 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/11/15 17:24:20 v1.34.3, ****************************
01/11/15 17:24:20 v1.34.3, nfs: commencing nfs on c158: 71777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
01/11/15 17:24:20 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/11/15 17:24:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 17:32:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
[50 lines snipped]
01/11/15 21:41:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 21:46:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 21:50:38 v1.34.3, nfs: commencing msieve filtering
01/11/15 21:52:46 v1.34.3, nfs: commencing msieve linear algebra
01/11/15 21:59:27 v1.34.3, nfs: commencing msieve sqrt
01/11/15 22:02:23 v1.34.3, prp108 = 339600385835210610477539953319872871864850784731983548985510280217220816838139327954273027378623498063385291
01/11/15 22:02:23 v1.34.3, prp51 = 211359529528354498450156895335373319925857833540147
01/11/15 22:02:23 v1.34.3, NFS elapsed time = 16682.9445 seconds.
01/11/15 22:02:23 v1.34.3, 
01/11/15 22:02:23 v1.34.3, 
01/11/15 22:02:23 v1.34.3, Total factoring time = 16682.9571 seconds
--
Sun Jan 11 21:50:38 2015  
Sun Jan 11 21:50:38 2015  commencing relation filtering
Sun Jan 11 21:50:38 2015  estimated available RAM is 15987.3 MB
Sun Jan 11 21:50:38 2015  commencing duplicate removal, pass 1
Sun Jan 11 21:51:15 2015  found 1486653 hash collisions in 10081700 relations
Sun Jan 11 21:51:25 2015  added 358767 free relations
Sun Jan 11 21:51:25 2015  commencing duplicate removal, pass 2
Sun Jan 11 21:51:33 2015  found 1089243 duplicates and 9351224 unique relations
Sun Jan 11 21:51:33 2015  memory use: 41.3 MB
Sun Jan 11 21:51:33 2015  reading ideals above 100000
Sun Jan 11 21:51:33 2015  commencing singleton removal, initial pass
Sun Jan 11 21:52:24 2015  memory use: 188.2 MB
Sun Jan 11 21:52:24 2015  reading all ideals from disk
Sun Jan 11 21:52:24 2015  memory use: 329.7 MB
Sun Jan 11 21:52:24 2015  keeping 9719921 ideals with weight <= 200, target excess is 51074
Sun Jan 11 21:52:25 2015  commencing in-memory singleton removal
Sun Jan 11 21:52:25 2015  begin with 9351224 relations and 9719921 unique ideals
Sun Jan 11 21:52:28 2015  reduce to 4417632 relations and 3661169 ideals in 12 passes
Sun Jan 11 21:52:28 2015  max relations containing the same ideal: 123
Sun Jan 11 21:52:29 2015  removing 1208685 relations and 860076 ideals in 348609 cliques
Sun Jan 11 21:52:29 2015  commencing in-memory singleton removal
Sun Jan 11 21:52:29 2015  begin with 3208947 relations and 3661169 unique ideals
Sun Jan 11 21:52:30 2015  reduce to 2978410 relations and 2548525 ideals in 7 passes
Sun Jan 11 21:52:30 2015  max relations containing the same ideal: 91
Sun Jan 11 21:52:31 2015  removing 1018171 relations and 669562 ideals in 348609 cliques
Sun Jan 11 21:52:31 2015  commencing in-memory singleton removal
Sun Jan 11 21:52:31 2015  begin with 1960239 relations and 2548525 unique ideals
Sun Jan 11 21:52:32 2015  reduce to 1747446 relations and 1641113 ideals in 10 passes
Sun Jan 11 21:52:32 2015  max relations containing the same ideal: 63
Sun Jan 11 21:52:32 2015  removing 213024 relations and 165937 ideals in 47087 cliques
Sun Jan 11 21:52:33 2015  commencing in-memory singleton removal
Sun Jan 11 21:52:33 2015  begin with 1534422 relations and 1641113 unique ideals
Sun Jan 11 21:52:33 2015  reduce to 1514291 relations and 1454495 ideals in 6 passes
Sun Jan 11 21:52:33 2015  max relations containing the same ideal: 60
Sun Jan 11 21:52:33 2015  relations with 0 large ideals: 1179
Sun Jan 11 21:52:33 2015  relations with 1 large ideals: 526
Sun Jan 11 21:52:33 2015  relations with 2 large ideals: 7367
Sun Jan 11 21:52:33 2015  relations with 3 large ideals: 51616
Sun Jan 11 21:52:33 2015  relations with 4 large ideals: 182828
Sun Jan 11 21:52:33 2015  relations with 5 large ideals: 364806
Sun Jan 11 21:52:33 2015  relations with 6 large ideals: 445286
Sun Jan 11 21:52:33 2015  relations with 7+ large ideals: 460683
Sun Jan 11 21:52:33 2015  commencing 2-way merge
Sun Jan 11 21:52:34 2015  reduce to 939210 relation sets and 879414 unique ideals
Sun Jan 11 21:52:34 2015  commencing full merge
Sun Jan 11 21:52:43 2015  memory use: 115.2 MB
Sun Jan 11 21:52:43 2015  found 487946 cycles, need 479614
Sun Jan 11 21:52:43 2015  weight of 479614 cycles is about 33829699 (70.54/cycle)
Sun Jan 11 21:52:43 2015  distribution of cycle lengths:
Sun Jan 11 21:52:43 2015  1 relations: 43722
Sun Jan 11 21:52:43 2015  2 relations: 48163
Sun Jan 11 21:52:43 2015  3 relations: 51324
Sun Jan 11 21:52:43 2015  4 relations: 50692
Sun Jan 11 21:52:43 2015  5 relations: 49796
Sun Jan 11 21:52:43 2015  6 relations: 45926
Sun Jan 11 21:52:43 2015  7 relations: 40330
Sun Jan 11 21:52:43 2015  8 relations: 34893
Sun Jan 11 21:52:43 2015  9 relations: 28881
Sun Jan 11 21:52:43 2015  10+ relations: 85887
Sun Jan 11 21:52:43 2015  heaviest cycle: 20 relations
Sun Jan 11 21:52:43 2015  commencing cycle optimization
Sun Jan 11 21:52:43 2015  start with 2879283 relations
Sun Jan 11 21:52:46 2015  pruned 86071 relations
Sun Jan 11 21:52:46 2015  memory use: 91.4 MB
Sun Jan 11 21:52:46 2015  distribution of cycle lengths:
Sun Jan 11 21:52:46 2015  1 relations: 43722
Sun Jan 11 21:52:46 2015  2 relations: 49167
Sun Jan 11 21:52:46 2015  3 relations: 53145
Sun Jan 11 21:52:46 2015  4 relations: 52310
Sun Jan 11 21:52:46 2015  5 relations: 51830
Sun Jan 11 21:52:46 2015  6 relations: 47266
Sun Jan 11 21:52:46 2015  7 relations: 41356
Sun Jan 11 21:52:46 2015  8 relations: 35286
Sun Jan 11 21:52:46 2015  9 relations: 28815
Sun Jan 11 21:52:46 2015  10+ relations: 76717
Sun Jan 11 21:52:46 2015  heaviest cycle: 19 relations
Sun Jan 11 21:52:46 2015  RelProcTime: 128
Sun Jan 11 21:52:46 2015  
Sun Jan 11 21:52:46 2015  commencing linear algebra
Sun Jan 11 21:52:46 2015  read 479614 cycles
Sun Jan 11 21:52:47 2015  cycles contain 1474995 unique relations
Sun Jan 11 21:52:58 2015  read 1474995 relations
Sun Jan 11 21:52:59 2015  using 20 quadratic characters above 134210888
Sun Jan 11 21:53:04 2015  building initial matrix
Sun Jan 11 21:53:11 2015  memory use: 180.6 MB
Sun Jan 11 21:53:11 2015  read 479614 cycles
Sun Jan 11 21:53:11 2015  matrix is 479437 x 479614 (143.4 MB) with weight 42290372 (88.18/col)
Sun Jan 11 21:53:11 2015  sparse part has weight 32313368 (67.37/col)
Sun Jan 11 21:53:13 2015  filtering completed in 2 passes
Sun Jan 11 21:53:13 2015  matrix is 479300 x 479477 (143.4 MB) with weight 42285179 (88.19/col)
Sun Jan 11 21:53:13 2015  sparse part has weight 32310974 (67.39/col)
Sun Jan 11 21:53:14 2015  matrix starts at (0, 0)
Sun Jan 11 21:53:14 2015  matrix is 479300 x 479477 (143.4 MB) with weight 42285179 (88.19/col)
Sun Jan 11 21:53:14 2015  sparse part has weight 32310974 (67.39/col)
Sun Jan 11 21:53:14 2015  saving the first 48 matrix rows for later
Sun Jan 11 21:53:14 2015  matrix includes 64 packed rows
Sun Jan 11 21:53:15 2015  matrix is 479252 x 479477 (135.1 MB) with weight 33498765 (69.87/col)
Sun Jan 11 21:53:15 2015  sparse part has weight 30613567 (63.85/col)
Sun Jan 11 21:53:15 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 11 21:53:16 2015  commencing Lanczos iteration (8 threads)
Sun Jan 11 21:53:16 2015  memory use: 131.1 MB
Sun Jan 11 21:53:25 2015  linear algebra at 2.5%, ETA 0h 5m
Sun Jan 11 21:59:27 2015  lanczos halted after 7581 iterations (dim = 479250)
Sun Jan 11 21:59:27 2015  recovered 36 nontrivial dependencies
Sun Jan 11 21:59:27 2015  BLanczosTime: 401
Sun Jan 11 21:59:27 2015  
Sun Jan 11 21:59:27 2015  commencing square root phase
Sun Jan 11 21:59:27 2015  reading relations for dependency 1
Sun Jan 11 21:59:27 2015  read 239692 cycles
Sun Jan 11 21:59:27 2015  cycles contain 737052 unique relations
Sun Jan 11 21:59:36 2015  read 737052 relations
Sun Jan 11 21:59:38 2015  multiplying 737052 relations
Sun Jan 11 21:59:52 2015  multiply complete, coefficients have about 24.38 million bits
Sun Jan 11 21:59:52 2015  initial square root is modulo 10065151
Sun Jan 11 22:00:11 2015  GCD is 1, no factor found
Sun Jan 11 22:00:11 2015  reading relations for dependency 2
Sun Jan 11 22:00:11 2015  read 239563 cycles
Sun Jan 11 22:00:11 2015  cycles contain 738218 unique relations
Sun Jan 11 22:00:21 2015  read 738218 relations
Sun Jan 11 22:00:22 2015  multiplying 738218 relations
Sun Jan 11 22:00:37 2015  multiply complete, coefficients have about 24.42 million bits
Sun Jan 11 22:00:37 2015  initial square root is modulo 10328701
Sun Jan 11 22:00:56 2015  GCD is N, no factor found
Sun Jan 11 22:00:56 2015  reading relations for dependency 3
Sun Jan 11 22:00:56 2015  read 240237 cycles
Sun Jan 11 22:00:56 2015  cycles contain 738358 unique relations
Sun Jan 11 22:01:04 2015  read 738358 relations
Sun Jan 11 22:01:06 2015  multiplying 738358 relations
Sun Jan 11 22:01:20 2015  multiply complete, coefficients have about 24.43 million bits
Sun Jan 11 22:01:20 2015  initial square root is modulo 10350721
Sun Jan 11 22:01:39 2015  GCD is N, no factor found
Sun Jan 11 22:01:39 2015  reading relations for dependency 4
Sun Jan 11 22:01:39 2015  read 239709 cycles
Sun Jan 11 22:01:39 2015  cycles contain 736626 unique relations
Sun Jan 11 22:01:48 2015  read 736626 relations
Sun Jan 11 22:01:50 2015  multiplying 736626 relations
Sun Jan 11 22:02:04 2015  multiply complete, coefficients have about 24.37 million bits
Sun Jan 11 22:02:04 2015  initial square root is modulo 9963571
Sun Jan 11 22:02:23 2015  sqrtTime: 176
--
n: 71777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000000000
deg: 5
c5: 6460
c0: -7
skew: 0.26
# Murphy_E = 4.55e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
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 00:00:29 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 29 秒 (日本時間)

646×10158-79

c149

name 名前Jo Yeong Uk
date 日付January 20, 2015 12:14:13 UTC 2015 年 1 月 20 日 (火) 21 時 14 分 13 秒 (日本時間)
composite number 合成数
14761376904724872262217353106470120936623577050420614763418626765090432852456091573503494158095815272701890192940184724183440085802805357137769209697<149>
prime factors 素因数
325069506757406796139113128134729567171399<42>
45409909566636183168730008611891317744981959633092090998062183058992139569769933260022114839451456243604503<107>
factorization results 素因数分解の結果
Number: 71777_158
N=14761376904724872262217353106470120936623577050420614763418626765090432852456091573503494158095815272701890192940184724183440085802805357137769209697
  ( 149 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=325069506757406796139113128134729567171399
 r2=45409909566636183168730008611891317744981959633092090998062183058992139569769933260022114839451456243604503
Version: 
Total time: 14.30 hours.
Scaled time: 75.01 units (timescale=5.246).
Factorization parameters were as follows:
n: 14761376904724872262217353106470120936623577050420614763418626765090432852456091573503494158095815272701890192940184724183440085802805357137769209697
m: 20000000000000000000000000000000
deg: 5
c5: 40375
c0: -14
skew: 0.20
# Murphy_E = 3.3e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1500000, 3675001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9652385
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 712535 x 712783
Total sieving time: 12.92 hours.
Total relation processing time: 0.66 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,51,51,2.4,2.4,75000
total time: 14.30 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 00:00:30 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 30 秒 (日本時間)

646×10159-79

c140

name 名前Serge Batalov
date 日付January 8, 2015 23:40:33 UTC 2015 年 1 月 9 日 (金) 8 時 40 分 33 秒 (日本時間)
composite number 合成数
87767764858357532879926739919596930241213549109024562133386228614785056164382609864232582197072871959554078105807068054552179425100187715321<140>
prime factors 素因数
159246379695282672884375530530467<33>
551144490859389136438150241057543168719973345907136325935641014456690105871972959068850644709833782299107763<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=126126186
Step 1 took 9150ms
Step 2 took 7502ms
********** Factor found in step 2: 159246379695282672884375530530467
Found probable prime factor of 33 digits: 159246379695282672884375530530467
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)

646×10162-79

c144

name 名前Jo Yeong Uk
date 日付February 7, 2015 23:45:56 UTC 2015 年 2 月 8 日 (日) 8 時 45 分 56 秒 (日本時間)
composite number 合成数
160798461727089585581424523108990334355801026967823555164556313432480942242107950229998551004707713790255124669215754350277960526526444882548409<144>
prime factors 素因数
3614007840267498519011455888707210581889782298734403283269566800577<67>
44493113693740006818065105125891277436847148680342504718005363133365826701817<77>
factorization results 素因数分解の結果
Number: 71777_162
N=160798461727089585581424523108990334355801026967823555164556313432480942242107950229998551004707713790255124669215754350277960526526444882548409
  ( 144 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=3614007840267498519011455888707210581889782298734403283269566800577
 r2=44493113693740006818065105125891277436847148680342504718005363133365826701817
Version: 
Total time: 15.82 hours.
Scaled time: 81.89 units (timescale=5.175).
Factorization parameters were as follows:
n: 160798461727089585581424523108990334355801026967823555164556313432480942242107950229998551004707713790255124669215754350277960526526444882548409
m: 200000000000000000000000000000000
deg: 5
c5: 8075
c0: -28
skew: 0.32
# Murphy_E = 3.012e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10063309
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 723367 x 723615
Total sieving time: 14.67 hours.
Total relation processing time: 0.56 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 15.82 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=3400121)
Total of 12 processors activated (81602.90 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 00:00:31 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 31 秒 (日本時間)

646×10164-79

c162

name 名前Jo Yeong Uk
date 日付February 22, 2015 02:25:30 UTC 2015 年 2 月 22 日 (日) 11 時 25 分 30 秒 (日本時間)
composite number 合成数
122381166182635893297263094879503806887824210632005895513764092304952648339802864022399921191075647095152303929647879452656864806700274126234467916621673590864227<162>
prime factors 素因数
433096057101623084638063021917405676918355724290681328788668776376781353<72>
282572801520379516112618369905757875436148117806089162647167175455437842160476750804594859<90>
factorization results 素因数分解の結果
Number: 71777_164
N=122381166182635893297263094879503806887824210632005895513764092304952648339802864022399921191075647095152303929647879452656864806700274126234467916621673590864227
  ( 162 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=433096057101623084638063021917405676918355724290681328788668776376781353
 r2=282572801520379516112618369905757875436148117806089162647167175455437842160476750804594859
Version: 
Total time: 21.89 hours.
Scaled time: 114.49 units (timescale=5.230).
Factorization parameters were as follows:
n: 122381166182635893297263094879503806887824210632005895513764092304952648339802864022399921191075647095152303929647879452656864806700274126234467916621673590864227
m: 1000000000000000000000000000000000
deg: 5
c5: 323
c0: -35
skew: 0.64
# Murphy_E = 2.228e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10277853
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 878922 x 879170
Total sieving time: 20.00 hours.
Total relation processing time: 0.76 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 21.89 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.. 6800.42 BogoMIPS (lpj=3400210)
Total of 12 processors activated (81605.04 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 00:00:32 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 32 秒 (日本時間)

646×10165-79

c167

name 名前Cyp
date 日付January 19, 2015 17:22:09 UTC 2015 年 1 月 20 日 (火) 2 時 22 分 9 秒 (日本時間)
composite number 合成数
71777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<167>
prime factors 素因数
23607846905895419638286734420594896344978110904714375822936777387659<68>
3040420334132767695612476385675793151796683109283782209166676996427774679544472188762269849653337203<100>
factorization results 素因数分解の結果
01/19/15 13:17:32 v1.34.3, 
01/19/15 13:17:32 v1.34.3, ****************************
01/19/15 13:17:32 v1.34.3, Starting factorization of 71777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
01/19/15 13:17:32 v1.34.3, using pretesting plan: none
01/19/15 13:17:32 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/19/15 13:17:32 v1.34.3, ****************************
01/19/15 13:17:32 v1.34.3, nfs: commencing nfs on c167: 71777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
01/19/15 13:17:32 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/19/15 13:17:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/19/15 13:22:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
[57 lines snipped]
01/19/15 17:55:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/19/15 18:00:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/19/15 18:04:50 v1.34.3, nfs: commencing msieve filtering
01/19/15 18:06:48 v1.34.3, nfs: commencing msieve linear algebra
01/19/15 18:21:00 v1.34.3, nfs: commencing msieve sqrt
01/19/15 18:22:08 v1.34.3, prp100 = 3040420334132767695612476385675793151796683109283782209166676996427774679544472188762269849653337203
01/19/15 18:22:08 v1.34.3, prp68 = 23607846905895419638286734420594896344978110904714375822936777387659
01/19/15 18:22:08 v1.34.3, NFS elapsed time = 18276.0889 seconds.
01/19/15 18:22:08 v1.34.3, 
01/19/15 18:22:08 v1.34.3, 
01/19/15 18:22:08 v1.34.3, Total factoring time = 18276.0900 seconds
--
Mon Jan 19 18:04:50 2015  
Mon Jan 19 18:04:50 2015  commencing relation filtering
Mon Jan 19 18:04:50 2015  estimated available RAM is 15987.3 MB
Mon Jan 19 18:04:50 2015  commencing duplicate removal, pass 1
Mon Jan 19 18:05:19 2015  found 1379031 hash collisions in 10107632 relations
Mon Jan 19 18:05:27 2015  added 366144 free relations
Mon Jan 19 18:05:27 2015  commencing duplicate removal, pass 2
Mon Jan 19 18:05:35 2015  found 939068 duplicates and 9534708 unique relations
Mon Jan 19 18:05:35 2015  memory use: 41.3 MB
Mon Jan 19 18:05:35 2015  reading ideals above 100000
Mon Jan 19 18:05:35 2015  commencing singleton removal, initial pass
Mon Jan 19 18:06:18 2015  memory use: 344.5 MB
Mon Jan 19 18:06:18 2015  reading all ideals from disk
Mon Jan 19 18:06:18 2015  memory use: 342.7 MB
Mon Jan 19 18:06:18 2015  keeping 10380919 ideals with weight <= 200, target excess is 50008
Mon Jan 19 18:06:19 2015  commencing in-memory singleton removal
Mon Jan 19 18:06:19 2015  begin with 9534708 relations and 10380919 unique ideals
Mon Jan 19 18:06:22 2015  reduce to 4097908 relations and 3766222 ideals in 15 passes
Mon Jan 19 18:06:22 2015  max relations containing the same ideal: 115
Mon Jan 19 18:06:24 2015  removing 784920 relations and 648083 ideals in 136838 cliques
Mon Jan 19 18:06:24 2015  commencing in-memory singleton removal
Mon Jan 19 18:06:24 2015  begin with 3312988 relations and 3766222 unique ideals
Mon Jan 19 18:06:25 2015  reduce to 3185037 relations and 2984795 ideals in 9 passes
Mon Jan 19 18:06:25 2015  max relations containing the same ideal: 96
Mon Jan 19 18:06:26 2015  removing 620169 relations and 483331 ideals in 136838 cliques
Mon Jan 19 18:06:26 2015  commencing in-memory singleton removal
Mon Jan 19 18:06:26 2015  begin with 2564868 relations and 2984795 unique ideals
Mon Jan 19 18:06:27 2015  reduce to 2465293 relations and 2397599 ideals in 11 passes
Mon Jan 19 18:06:27 2015  max relations containing the same ideal: 82
Mon Jan 19 18:06:28 2015  removing 75366 relations and 65682 ideals in 9684 cliques
Mon Jan 19 18:06:28 2015  commencing in-memory singleton removal
Mon Jan 19 18:06:28 2015  begin with 2389927 relations and 2397599 unique ideals
Mon Jan 19 18:06:28 2015  reduce to 2388494 relations and 2330480 ideals in 6 passes
Mon Jan 19 18:06:28 2015  max relations containing the same ideal: 81
Mon Jan 19 18:06:29 2015  relations with 0 large ideals: 1157
Mon Jan 19 18:06:29 2015  relations with 1 large ideals: 308
Mon Jan 19 18:06:29 2015  relations with 2 large ideals: 5102
Mon Jan 19 18:06:29 2015  relations with 3 large ideals: 42346
Mon Jan 19 18:06:29 2015  relations with 4 large ideals: 183546
Mon Jan 19 18:06:29 2015  relations with 5 large ideals: 457576
Mon Jan 19 18:06:29 2015  relations with 6 large ideals: 697807
Mon Jan 19 18:06:29 2015  relations with 7+ large ideals: 1000652
Mon Jan 19 18:06:29 2015  commencing 2-way merge
Mon Jan 19 18:06:29 2015  reduce to 1429245 relation sets and 1371231 unique ideals
Mon Jan 19 18:06:29 2015  commencing full merge
Mon Jan 19 18:06:43 2015  memory use: 173.4 MB
Mon Jan 19 18:06:43 2015  found 728974 cycles, need 721431
Mon Jan 19 18:06:43 2015  weight of 721431 cycles is about 50851617 (70.49/cycle)
Mon Jan 19 18:06:43 2015  distribution of cycle lengths:
Mon Jan 19 18:06:43 2015  1 relations: 85918
Mon Jan 19 18:06:43 2015  2 relations: 78743
Mon Jan 19 18:06:43 2015  3 relations: 78408
Mon Jan 19 18:06:43 2015  4 relations: 72764
Mon Jan 19 18:06:43 2015  5 relations: 67941
Mon Jan 19 18:06:43 2015  6 relations: 60170
Mon Jan 19 18:06:43 2015  7 relations: 53003
Mon Jan 19 18:06:43 2015  8 relations: 46620
Mon Jan 19 18:06:43 2015  9 relations: 39219
Mon Jan 19 18:06:43 2015  10+ relations: 138645
Mon Jan 19 18:06:43 2015  heaviest cycle: 21 relations
Mon Jan 19 18:06:43 2015  commencing cycle optimization
Mon Jan 19 18:06:44 2015  start with 4308566 relations
Mon Jan 19 18:06:47 2015  pruned 103766 relations
Mon Jan 19 18:06:47 2015  memory use: 141.2 MB
Mon Jan 19 18:06:47 2015  distribution of cycle lengths:
Mon Jan 19 18:06:47 2015  1 relations: 85918
Mon Jan 19 18:06:47 2015  2 relations: 80316
Mon Jan 19 18:06:47 2015  3 relations: 80936
Mon Jan 19 18:06:47 2015  4 relations: 74545
Mon Jan 19 18:06:47 2015  5 relations: 69613
Mon Jan 19 18:06:47 2015  6 relations: 61204
Mon Jan 19 18:06:47 2015  7 relations: 53892
Mon Jan 19 18:06:47 2015  8 relations: 46832
Mon Jan 19 18:06:47 2015  9 relations: 39391
Mon Jan 19 18:06:47 2015  10+ relations: 128784
Mon Jan 19 18:06:47 2015  heaviest cycle: 21 relations
Mon Jan 19 18:06:48 2015  RelProcTime: 118
Mon Jan 19 18:06:48 2015  
Mon Jan 19 18:06:48 2015  commencing linear algebra
Mon Jan 19 18:06:48 2015  read 721431 cycles
Mon Jan 19 18:06:49 2015  cycles contain 2344635 unique relations
Mon Jan 19 18:07:00 2015  read 2344635 relations
Mon Jan 19 18:07:02 2015  using 20 quadratic characters above 134216882
Mon Jan 19 18:07:09 2015  building initial matrix
Mon Jan 19 18:07:21 2015  memory use: 293.1 MB
Mon Jan 19 18:07:22 2015  read 721431 cycles
Mon Jan 19 18:07:22 2015  matrix is 721255 x 721431 (216.8 MB) with weight 64965883 (90.05/col)
Mon Jan 19 18:07:22 2015  sparse part has weight 48899572 (67.78/col)
Mon Jan 19 18:07:25 2015  filtering completed in 2 passes
Mon Jan 19 18:07:25 2015  matrix is 720909 x 721084 (216.8 MB) with weight 64954453 (90.08/col)
Mon Jan 19 18:07:25 2015  sparse part has weight 48895951 (67.81/col)
Mon Jan 19 18:07:27 2015  matrix starts at (0, 0)
Mon Jan 19 18:07:27 2015  matrix is 720909 x 721084 (216.8 MB) with weight 64954453 (90.08/col)
Mon Jan 19 18:07:27 2015  sparse part has weight 48895951 (67.81/col)
Mon Jan 19 18:07:27 2015  saving the first 48 matrix rows for later
Mon Jan 19 18:07:27 2015  matrix includes 64 packed rows
Mon Jan 19 18:07:27 2015  matrix is 720861 x 721084 (206.4 MB) with weight 51528603 (71.46/col)
Mon Jan 19 18:07:27 2015  sparse part has weight 46896285 (65.04/col)
Mon Jan 19 18:07:27 2015  using block size 65536 for processor cache size 8192 kB
Mon Jan 19 18:07:29 2015  commencing Lanczos iteration (8 threads)
Mon Jan 19 18:07:29 2015  memory use: 200.1 MB
Mon Jan 19 18:07:32 2015  linear algebra at 0.4%, ETA 0h11m
Mon Jan 19 18:21:00 2015  lanczos halted after 11402 iterations (dim = 720860)
Mon Jan 19 18:21:00 2015  recovered 36 nontrivial dependencies
Mon Jan 19 18:21:00 2015  BLanczosTime: 852
Mon Jan 19 18:21:00 2015  
Mon Jan 19 18:21:00 2015  commencing square root phase
Mon Jan 19 18:21:00 2015  reading relations for dependency 1
Mon Jan 19 18:21:00 2015  read 361512 cycles
Mon Jan 19 18:21:01 2015  cycles contain 1172816 unique relations
Mon Jan 19 18:21:10 2015  read 1172816 relations
Mon Jan 19 18:21:12 2015  multiplying 1172816 relations
Mon Jan 19 18:21:37 2015  multiply complete, coefficients have about 35.62 million bits
Mon Jan 19 18:21:37 2015  initial square root is modulo 129971
Mon Jan 19 18:22:07 2015  sqrtTime: 67
--
n: 71777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 1000000000000000000000000000000000
deg: 5
c5: 646
c0: -7
skew: 0.40
# Murphy_E = 2.707e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
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)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:00:33 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 33 秒 (日本時間)

646×10167-79

c166

name 名前Cyp
date 日付February 18, 2015 19:12:30 UTC 2015 年 2 月 19 日 (木) 4 時 12 分 30 秒 (日本時間)
composite number 合成数
6639942440127454003494706547435502107102477130229211635317093226436427176482680645492856408675095076575187583513207935039572412375372597389248638092301367046972967417<166>
prime factors 素因数
1651189401310276076959662025329914774073301<43>
4021308781935269998982021055258616461474890696396788264442470973427042249851336428263619031874511281417305203169221299431317<124>
factorization results 素因数分解の結果
02/18/15 13:37:30 v1.34.3, 
02/18/15 13:37:30 v1.34.3, ****************************
02/18/15 13:37:30 v1.34.3, Starting factorization of 6639942440127454003494706547435502107102477130229211635317093226436427176482680645492856408675095076575187583513207935039572412375372597389248638092301367046972967417
02/18/15 13:37:30 v1.34.3, using pretesting plan: none
02/18/15 13:37:30 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/18/15 13:37:30 v1.34.3, ****************************
02/18/15 13:37:30 v1.34.3, nfs: commencing nfs on c166: 6639942440127454003494706547435502107102477130229211635317093226436427176482680645492856408675095076575187583513207935039572412375372597389248638092301367046972967417
02/18/15 13:37:30 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/18/15 13:37:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 13:42:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
[68 lines snipped]
02/18/15 19:07:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 19:12:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 19:17:02 v1.34.3, nfs: commencing msieve filtering
02/18/15 19:18:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 19:23:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 19:28:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 19:32:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/18/15 19:37:35 v1.34.3, nfs: commencing msieve filtering
02/18/15 19:39:52 v1.34.3, nfs: commencing msieve linear algebra
02/18/15 20:08:29 v1.34.3, nfs: commencing msieve sqrt
02/18/15 20:12:29 v1.34.3, prp124 = 4021308781935269998982021055258616461474890696396788264442470973427042249851336428263619031874511281417305203169221299431317
02/18/15 20:12:29 v1.34.3, prp43 = 1651189401310276076959662025329914774073301
02/18/15 20:12:30 v1.34.3, NFS elapsed time = 23700.0681 seconds.
02/18/15 20:12:30 v1.34.3, 
02/18/15 20:12:30 v1.34.3, 
02/18/15 20:12:30 v1.34.3, Total factoring time = 23700.0694 seconds
--
Wed Feb 18 19:17:02 2015  
Wed Feb 18 19:17:02 2015  commencing relation filtering
Wed Feb 18 19:17:02 2015  estimated available RAM is 15987.3 MB
Wed Feb 18 19:17:02 2015  commencing duplicate removal, pass 1
Wed Feb 18 19:17:31 2015  found 1401073 hash collisions in 10110523 relations
Wed Feb 18 19:17:40 2015  added 371462 free relations
Wed Feb 18 19:17:40 2015  commencing duplicate removal, pass 2
Wed Feb 18 19:17:49 2015  found 972576 duplicates and 9509409 unique relations
Wed Feb 18 19:17:49 2015  memory use: 41.3 MB
Wed Feb 18 19:17:49 2015  reading ideals above 100000
Wed Feb 18 19:17:49 2015  commencing singleton removal, initial pass
Wed Feb 18 19:18:32 2015  memory use: 344.5 MB
Wed Feb 18 19:18:32 2015  reading all ideals from disk
Wed Feb 18 19:18:32 2015  memory use: 346.0 MB
Wed Feb 18 19:18:32 2015  keeping 10861901 ideals with weight <= 200, target excess is 49169
Wed Feb 18 19:18:33 2015  commencing in-memory singleton removal
Wed Feb 18 19:18:33 2015  begin with 9509409 relations and 10861901 unique ideals
Wed Feb 18 19:18:37 2015  reduce to 3405812 relations and 3444931 ideals in 23 passes
Wed Feb 18 19:18:37 2015  max relations containing the same ideal: 100
Wed Feb 18 19:37:35 2015  
Wed Feb 18 19:37:35 2015  commencing relation filtering
Wed Feb 18 19:37:35 2015  estimated available RAM is 15987.3 MB
Wed Feb 18 19:37:35 2015  commencing duplicate removal, pass 1
Wed Feb 18 19:38:10 2015  found 1565006 hash collisions in 11003020 relations
Wed Feb 18 19:38:18 2015  added 1154 free relations
Wed Feb 18 19:38:18 2015  commencing duplicate removal, pass 2
Wed Feb 18 19:38:27 2015  found 1060198 duplicates and 9943976 unique relations
Wed Feb 18 19:38:27 2015  memory use: 41.3 MB
Wed Feb 18 19:38:27 2015  reading ideals above 100000
Wed Feb 18 19:38:27 2015  commencing singleton removal, initial pass
Wed Feb 18 19:39:12 2015  memory use: 344.5 MB
Wed Feb 18 19:39:12 2015  reading all ideals from disk
Wed Feb 18 19:39:12 2015  memory use: 362.0 MB
Wed Feb 18 19:39:13 2015  keeping 11032682 ideals with weight <= 200, target excess is 51690
Wed Feb 18 19:39:13 2015  commencing in-memory singleton removal
Wed Feb 18 19:39:14 2015  begin with 9943976 relations and 11032682 unique ideals
Wed Feb 18 19:39:18 2015  reduce to 4018348 relations and 3892370 ideals in 18 passes
Wed Feb 18 19:39:18 2015  max relations containing the same ideal: 111
Wed Feb 18 19:39:19 2015  removing 364578 relations and 331569 ideals in 33009 cliques
Wed Feb 18 19:39:19 2015  commencing in-memory singleton removal
Wed Feb 18 19:39:19 2015  begin with 3653770 relations and 3892370 unique ideals
Wed Feb 18 19:39:21 2015  reduce to 3623696 relations and 3530372 ideals in 9 passes
Wed Feb 18 19:39:21 2015  max relations containing the same ideal: 111
Wed Feb 18 19:39:22 2015  removing 267435 relations and 234426 ideals in 33009 cliques
Wed Feb 18 19:39:22 2015  commencing in-memory singleton removal
Wed Feb 18 19:39:22 2015  begin with 3356261 relations and 3530372 unique ideals
Wed Feb 18 19:39:23 2015  reduce to 3338334 relations and 3277830 ideals in 7 passes
Wed Feb 18 19:39:23 2015  max relations containing the same ideal: 102
Wed Feb 18 19:39:24 2015  relations with 0 large ideals: 1194
Wed Feb 18 19:39:24 2015  relations with 1 large ideals: 268
Wed Feb 18 19:39:24 2015  relations with 2 large ideals: 4617
Wed Feb 18 19:39:24 2015  relations with 3 large ideals: 42243
Wed Feb 18 19:39:24 2015  relations with 4 large ideals: 202550
Wed Feb 18 19:39:24 2015  relations with 5 large ideals: 559358
Wed Feb 18 19:39:24 2015  relations with 6 large ideals: 956376
Wed Feb 18 19:39:24 2015  relations with 7+ large ideals: 1571728
Wed Feb 18 19:39:24 2015  commencing 2-way merge
Wed Feb 18 19:39:26 2015  reduce to 1938931 relation sets and 1878427 unique ideals
Wed Feb 18 19:39:26 2015  commencing full merge
Wed Feb 18 19:39:45 2015  memory use: 227.9 MB
Wed Feb 18 19:39:45 2015  found 971265 cycles, need 964627
Wed Feb 18 19:39:45 2015  weight of 964627 cycles is about 67553263 (70.03/cycle)
Wed Feb 18 19:39:45 2015  distribution of cycle lengths:
Wed Feb 18 19:39:45 2015  1 relations: 128183
Wed Feb 18 19:39:45 2015  2 relations: 115735
Wed Feb 18 19:39:45 2015  3 relations: 111114
Wed Feb 18 19:39:45 2015  4 relations: 98205
Wed Feb 18 19:39:45 2015  5 relations: 86981
Wed Feb 18 19:39:45 2015  6 relations: 72969
Wed Feb 18 19:39:45 2015  7 relations: 63182
Wed Feb 18 19:39:45 2015  8 relations: 53389
Wed Feb 18 19:39:45 2015  9 relations: 43857
Wed Feb 18 19:39:45 2015  10+ relations: 191012
Wed Feb 18 19:39:45 2015  heaviest cycle: 25 relations
Wed Feb 18 19:39:45 2015  commencing cycle optimization
Wed Feb 18 19:39:46 2015  start with 5777646 relations
Wed Feb 18 19:39:51 2015  pruned 119589 relations
Wed Feb 18 19:39:51 2015  memory use: 193.5 MB
Wed Feb 18 19:39:51 2015  distribution of cycle lengths:
Wed Feb 18 19:39:51 2015  1 relations: 128183
Wed Feb 18 19:39:51 2015  2 relations: 117975
Wed Feb 18 19:39:51 2015  3 relations: 114603
Wed Feb 18 19:39:51 2015  4 relations: 100079
Wed Feb 18 19:39:51 2015  5 relations: 88376
Wed Feb 18 19:39:51 2015  6 relations: 73581
Wed Feb 18 19:39:51 2015  7 relations: 63495
Wed Feb 18 19:39:51 2015  8 relations: 52989
Wed Feb 18 19:39:51 2015  9 relations: 43438
Wed Feb 18 19:39:51 2015  10+ relations: 181908
Wed Feb 18 19:39:51 2015  heaviest cycle: 25 relations
Wed Feb 18 19:39:52 2015  RelProcTime: 137
Wed Feb 18 19:39:52 2015  
Wed Feb 18 19:39:52 2015  commencing linear algebra
Wed Feb 18 19:39:52 2015  read 964627 cycles
Wed Feb 18 19:39:53 2015  cycles contain 3265533 unique relations
Wed Feb 18 19:40:07 2015  read 3265533 relations
Wed Feb 18 19:40:10 2015  using 20 quadratic characters above 134216828
Wed Feb 18 19:40:20 2015  building initial matrix
Wed Feb 18 19:40:37 2015  memory use: 399.4 MB
Wed Feb 18 19:40:37 2015  read 964627 cycles
Wed Feb 18 19:40:37 2015  matrix is 964449 x 964627 (289.3 MB) with weight 86950357 (90.14/col)
Wed Feb 18 19:40:37 2015  sparse part has weight 65219137 (67.61/col)
Wed Feb 18 19:40:42 2015  filtering completed in 2 passes
Wed Feb 18 19:40:42 2015  matrix is 963283 x 963461 (289.2 MB) with weight 86909823 (90.21/col)
Wed Feb 18 19:40:42 2015  sparse part has weight 65206036 (67.68/col)
Wed Feb 18 19:40:44 2015  matrix starts at (0, 0)
Wed Feb 18 19:40:44 2015  matrix is 963283 x 963461 (289.2 MB) with weight 86909823 (90.21/col)
Wed Feb 18 19:40:44 2015  sparse part has weight 65206036 (67.68/col)
Wed Feb 18 19:40:44 2015  saving the first 48 matrix rows for later
Wed Feb 18 19:40:45 2015  matrix includes 64 packed rows
Wed Feb 18 19:40:45 2015  matrix is 963235 x 963461 (275.3 MB) with weight 69257685 (71.88/col)
Wed Feb 18 19:40:45 2015  sparse part has weight 62533169 (64.90/col)
Wed Feb 18 19:40:45 2015  using block size 65536 for processor cache size 8192 kB
Wed Feb 18 19:40:47 2015  commencing Lanczos iteration (8 threads)
Wed Feb 18 19:40:47 2015  memory use: 268.5 MB
Wed Feb 18 19:40:52 2015  linear algebra at 0.3%, ETA 0h26m
Wed Feb 18 20:08:28 2015  lanczos halted after 15229 iterations (dim = 963234)
Wed Feb 18 20:08:29 2015  recovered 37 nontrivial dependencies
Wed Feb 18 20:08:29 2015  BLanczosTime: 1717
Wed Feb 18 20:08:29 2015  
Wed Feb 18 20:08:29 2015  commencing square root phase
Wed Feb 18 20:08:29 2015  reading relations for dependency 1
Wed Feb 18 20:08:29 2015  read 481755 cycles
Wed Feb 18 20:08:30 2015  cycles contain 1631502 unique relations
Wed Feb 18 20:08:40 2015  read 1631502 relations
Wed Feb 18 20:08:44 2015  multiplying 1631502 relations
Wed Feb 18 20:09:31 2015  multiply complete, coefficients have about 59.51 million bits
Wed Feb 18 20:09:31 2015  initial square root is modulo 349592291
Wed Feb 18 20:10:29 2015  GCD is 1, no factor found
Wed Feb 18 20:10:29 2015  reading relations for dependency 2
Wed Feb 18 20:10:29 2015  read 482089 cycles
Wed Feb 18 20:10:30 2015  cycles contain 1634026 unique relations
Wed Feb 18 20:10:40 2015  read 1634026 relations
Wed Feb 18 20:10:44 2015  multiplying 1634026 relations
Wed Feb 18 20:11:30 2015  multiply complete, coefficients have about 59.60 million bits
Wed Feb 18 20:11:30 2015  initial square root is modulo 360190841
Wed Feb 18 20:12:29 2015  sqrtTime: 240
--
n: 6639942440127454003494706547435502107102477130229211635317093226436427176482680645492856408675095076575187583513207935039572412375372597389248638092301367046972967417
m: 1000000000000000000000000000000000
deg: 5
c5: 64600
c0: -7
skew: 0.16
# Murphy_E = 1.917e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
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)
403e62650300Serge BatalovJanuary 9, 2015 00:00:34 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 34 秒 (日本時間)
2350Ignacio SantosFebruary 8, 2015 10:19:34 UTC 2015 年 2 月 8 日 (日) 19 時 19 分 34 秒 (日本時間)

646×10168-79

c165

name 名前Cyp
date 日付April 1, 2015 15:29:49 UTC 2015 年 4 月 2 日 (木) 0 時 29 分 49 秒 (日本時間)
composite number 合成数
237984455857383209865081970172369267880976826724107125424070985679303788631489911632613890850602863255089496522885005247815129548643691219957685921672168675719654311<165>
prime factors 素因数
3779670660402766809952269362059400147187966113229453488919717581<64>
62964336641971675081086100354847245519306253368531112004640551413415862738933842580185063169773835331<101>
factorization results 素因数分解の結果
04/01/15 07:48:32 v1.34.3, 
04/01/15 07:48:32 v1.34.3, ****************************
04/01/15 07:48:32 v1.34.3, Starting factorization of 237984455857383209865081970172369267880976826724107125424070985679303788631489911632613890850602863255089496522885005247815129548643691219957685921672168675719654311
04/01/15 07:48:32 v1.34.3, using pretesting plan: none
04/01/15 07:48:32 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/01/15 07:48:32 v1.34.3, ****************************
04/01/15 07:48:32 v1.34.3, nfs: commencing nfs on c165: 237984455857383209865081970172369267880976826724107125424070985679303788631489911632613890850602863255089496522885005247815129548643691219957685921672168675719654311
04/01/15 07:48:32 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/01/15 07:48:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/01/15 07:53:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
[97 lines snipped]
04/01/15 15:22:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/01/15 15:27:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/01/15 15:31:45 v1.34.3, nfs: commencing msieve filtering
04/01/15 15:33:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/01/15 15:37:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
04/01/15 15:51:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/01/15 15:55:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/01/15 16:00:29 v1.34.3, nfs: commencing msieve filtering
04/01/15 16:02:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/01/15 16:06:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
[3 lines snipped]
04/01/15 16:24:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/01/15 16:29:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/01/15 16:33:47 v1.34.3, nfs: commencing msieve filtering
04/01/15 16:36:04 v1.34.3, nfs: commencing msieve linear algebra
04/01/15 17:22:29 v1.34.3, nfs: commencing msieve sqrt
04/01/15 17:29:38 v1.34.3, prp101 = 62964336641971675081086100354847245519306253368531112004640551413415862738933842580185063169773835331
04/01/15 17:29:38 v1.34.3, prp64 = 3779670660402766809952269362059400147187966113229453488919717581
04/01/15 17:29:38 v1.34.3, NFS elapsed time = 34865.9189 seconds.
04/01/15 17:29:38 v1.34.3, 
04/01/15 17:29:38 v1.34.3, 
04/01/15 17:29:38 v1.34.3, Total factoring time = 34865.9200 seconds
--
Wed Apr  1 15:31:45 2015  
Wed Apr  1 15:31:45 2015  commencing relation filtering
Wed Apr  1 15:31:45 2015  estimated available RAM is 15987.3 MB
Wed Apr  1 15:31:45 2015  commencing duplicate removal, pass 1
Wed Apr  1 15:32:14 2015  found 1551518 hash collisions in 10082822 relations
Wed Apr  1 15:32:23 2015  added 371926 free relations
Wed Apr  1 15:32:23 2015  commencing duplicate removal, pass 2
Wed Apr  1 15:32:32 2015  found 1188124 duplicates and 9266624 unique relations
Wed Apr  1 15:32:32 2015  memory use: 41.3 MB
Wed Apr  1 15:32:32 2015  reading ideals above 100000
Wed Apr  1 15:32:32 2015  commencing singleton removal, initial pass
Wed Apr  1 15:33:15 2015  memory use: 344.5 MB
Wed Apr  1 15:33:15 2015  reading all ideals from disk
Wed Apr  1 15:33:15 2015  memory use: 341.5 MB
Wed Apr  1 15:33:15 2015  keeping 10856952 ideals with weight <= 200, target excess is 48701
Wed Apr  1 15:33:16 2015  commencing in-memory singleton removal
Wed Apr  1 15:33:16 2015  begin with 9266624 relations and 10856952 unique ideals
Wed Apr  1 15:33:20 2015  reduce to 2967306 relations and 3181146 ideals in 24 passes
Wed Apr  1 15:33:20 2015  max relations containing the same ideal: 90
Wed Apr  1 16:00:29 2015  
Wed Apr  1 16:00:29 2015  commencing relation filtering
Wed Apr  1 16:00:29 2015  estimated available RAM is 15987.3 MB
Wed Apr  1 16:00:29 2015  commencing duplicate removal, pass 1
Wed Apr  1 16:01:03 2015  found 1728222 hash collisions in 10987344 relations
Wed Apr  1 16:01:12 2015  added 1222 free relations
Wed Apr  1 16:01:12 2015  commencing duplicate removal, pass 2
Wed Apr  1 16:01:21 2015  found 1297032 duplicates and 9691534 unique relations
Wed Apr  1 16:01:21 2015  memory use: 45.3 MB
Wed Apr  1 16:01:21 2015  reading ideals above 100000
Wed Apr  1 16:01:21 2015  commencing singleton removal, initial pass
Wed Apr  1 16:02:05 2015  memory use: 344.5 MB
Wed Apr  1 16:02:05 2015  reading all ideals from disk
Wed Apr  1 16:02:05 2015  memory use: 357.4 MB
Wed Apr  1 16:02:06 2015  keeping 11028702 ideals with weight <= 200, target excess is 51128
Wed Apr  1 16:02:06 2015  commencing in-memory singleton removal
Wed Apr  1 16:02:07 2015  begin with 9691534 relations and 11028702 unique ideals
Wed Apr  1 16:02:11 2015  reduce to 3601081 relations and 3668681 ideals in 22 passes
Wed Apr  1 16:02:11 2015  max relations containing the same ideal: 104
Wed Apr  1 16:33:47 2015  
Wed Apr  1 16:33:47 2015  commencing relation filtering
Wed Apr  1 16:33:47 2015  estimated available RAM is 15987.3 MB
Wed Apr  1 16:33:47 2015  commencing duplicate removal, pass 1
Wed Apr  1 16:34:23 2015  found 1890578 hash collisions in 11600000 relations
Wed Apr  1 16:34:32 2015  added 1200 free relations
Wed Apr  1 16:34:32 2015  commencing duplicate removal, pass 2
Wed Apr  1 16:34:41 2015  found 1425849 duplicates and 10175351 unique relations
Wed Apr  1 16:34:41 2015  memory use: 74.6 MB
Wed Apr  1 16:34:41 2015  reading ideals above 720000
Wed Apr  1 16:34:41 2015  commencing singleton removal, initial pass
Wed Apr  1 16:35:24 2015  memory use: 344.5 MB
Wed Apr  1 16:35:25 2015  reading all ideals from disk
Wed Apr  1 16:35:25 2015  memory use: 301.8 MB
Wed Apr  1 16:35:25 2015  commencing in-memory singleton removal
Wed Apr  1 16:35:25 2015  begin with 10175351 relations and 11150420 unique ideals
Wed Apr  1 16:35:29 2015  reduce to 4291683 relations and 4105634 ideals in 18 passes
Wed Apr  1 16:35:29 2015  max relations containing the same ideal: 70
Wed Apr  1 16:35:30 2015  removing 302422 relations and 276815 ideals in 25608 cliques
Wed Apr  1 16:35:30 2015  commencing in-memory singleton removal
Wed Apr  1 16:35:30 2015  begin with 3989261 relations and 4105634 unique ideals
Wed Apr  1 16:35:32 2015  reduce to 3970192 relations and 3809568 ideals in 8 passes
Wed Apr  1 16:35:32 2015  max relations containing the same ideal: 66
Wed Apr  1 16:35:33 2015  removing 220341 relations and 194733 ideals in 25608 cliques
Wed Apr  1 16:35:33 2015  commencing in-memory singleton removal
Wed Apr  1 16:35:33 2015  begin with 3749851 relations and 3809568 unique ideals
Wed Apr  1 16:35:34 2015  reduce to 3738854 relations and 3603749 ideals in 7 passes
Wed Apr  1 16:35:34 2015  max relations containing the same ideal: 65
Wed Apr  1 16:35:35 2015  relations with 0 large ideals: 2930
Wed Apr  1 16:35:35 2015  relations with 1 large ideals: 2029
Wed Apr  1 16:35:35 2015  relations with 2 large ideals: 29425
Wed Apr  1 16:35:35 2015  relations with 3 large ideals: 175192
Wed Apr  1 16:35:35 2015  relations with 4 large ideals: 556782
Wed Apr  1 16:35:35 2015  relations with 5 large ideals: 1001670
Wed Apr  1 16:35:35 2015  relations with 6 large ideals: 1083326
Wed Apr  1 16:35:35 2015  relations with 7+ large ideals: 887500
Wed Apr  1 16:35:35 2015  commencing 2-way merge
Wed Apr  1 16:35:36 2015  reduce to 2202491 relation sets and 2067387 unique ideals
Wed Apr  1 16:35:36 2015  ignored 1 oversize relation sets
Wed Apr  1 16:35:36 2015  commencing full merge
Wed Apr  1 16:35:56 2015  memory use: 244.1 MB
Wed Apr  1 16:35:56 2015  found 1103856 cycles, need 1087587
Wed Apr  1 16:35:57 2015  weight of 1087587 cycles is about 76282677 (70.14/cycle)
Wed Apr  1 16:35:57 2015  distribution of cycle lengths:
Wed Apr  1 16:35:57 2015  1 relations: 149540
Wed Apr  1 16:35:57 2015  2 relations: 132715
Wed Apr  1 16:35:57 2015  3 relations: 125496
Wed Apr  1 16:35:57 2015  4 relations: 111208
Wed Apr  1 16:35:57 2015  5 relations: 98217
Wed Apr  1 16:35:57 2015  6 relations: 81537
Wed Apr  1 16:35:57 2015  7 relations: 70021
Wed Apr  1 16:35:57 2015  8 relations: 58933
Wed Apr  1 16:35:57 2015  9 relations: 49446
Wed Apr  1 16:35:57 2015  10+ relations: 210474
Wed Apr  1 16:35:57 2015  heaviest cycle: 23 relations
Wed Apr  1 16:35:57 2015  commencing cycle optimization
Wed Apr  1 16:35:58 2015  start with 6410370 relations
Wed Apr  1 16:36:03 2015  pruned 146799 relations
Wed Apr  1 16:36:03 2015  memory use: 213.6 MB
Wed Apr  1 16:36:03 2015  distribution of cycle lengths:
Wed Apr  1 16:36:03 2015  1 relations: 149540
Wed Apr  1 16:36:03 2015  2 relations: 135575
Wed Apr  1 16:36:03 2015  3 relations: 129840
Wed Apr  1 16:36:03 2015  4 relations: 113486
Wed Apr  1 16:36:03 2015  5 relations: 99979
Wed Apr  1 16:36:03 2015  6 relations: 82363
Wed Apr  1 16:36:03 2015  7 relations: 70568
Wed Apr  1 16:36:03 2015  8 relations: 58509
Wed Apr  1 16:36:03 2015  9 relations: 48740
Wed Apr  1 16:36:03 2015  10+ relations: 198987
Wed Apr  1 16:36:03 2015  heaviest cycle: 23 relations
Wed Apr  1 16:36:04 2015  RelProcTime: 137
Wed Apr  1 16:36:04 2015  
Wed Apr  1 16:36:04 2015  commencing linear algebra
Wed Apr  1 16:36:05 2015  read 1087587 cycles
Wed Apr  1 16:36:06 2015  cycles contain 3598929 unique relations
Wed Apr  1 16:36:21 2015  read 3598929 relations
Wed Apr  1 16:36:23 2015  using 20 quadratic characters above 134216558
Wed Apr  1 16:36:35 2015  building initial matrix
Wed Apr  1 16:36:53 2015  memory use: 432.5 MB
Wed Apr  1 16:36:54 2015  read 1087587 cycles
Wed Apr  1 16:36:54 2015  matrix is 1087405 x 1087587 (326.0 MB) with weight 95581883 (87.88/col)
Wed Apr  1 16:36:54 2015  sparse part has weight 73501148 (67.58/col)
Wed Apr  1 16:37:00 2015  filtering completed in 2 passes
Wed Apr  1 16:37:00 2015  matrix is 1085007 x 1085188 (325.8 MB) with weight 95493761 (88.00/col)
Wed Apr  1 16:37:00 2015  sparse part has weight 73464610 (67.70/col)
Wed Apr  1 16:37:03 2015  matrix starts at (0, 0)
Wed Apr  1 16:37:03 2015  matrix is 1085007 x 1085188 (325.8 MB) with weight 95493761 (88.00/col)
Wed Apr  1 16:37:03 2015  sparse part has weight 73464610 (67.70/col)
Wed Apr  1 16:37:03 2015  saving the first 48 matrix rows for later
Wed Apr  1 16:37:03 2015  matrix includes 64 packed rows
Wed Apr  1 16:37:03 2015  matrix is 1084959 x 1085188 (307.8 MB) with weight 75976783 (70.01/col)
Wed Apr  1 16:37:03 2015  sparse part has weight 69841891 (64.36/col)
Wed Apr  1 16:37:03 2015  using block size 65536 for processor cache size 8192 kB
Wed Apr  1 16:37:05 2015  commencing Lanczos iteration (8 threads)
Wed Apr  1 16:37:05 2015  memory use: 301.4 MB
Wed Apr  1 16:37:09 2015  linear algebra at 0.1%, ETA 0h47m
Wed Apr  1 16:37:10 2015  checkpointing every 1460000 dimensions
Wed Apr  1 17:22:28 2015  lanczos halted after 17159 iterations (dim = 1084959)
Wed Apr  1 17:22:29 2015  recovered 38 nontrivial dependencies
Wed Apr  1 17:22:29 2015  BLanczosTime: 2785
Wed Apr  1 17:22:29 2015  
Wed Apr  1 17:22:29 2015  commencing square root phase
Wed Apr  1 17:22:29 2015  reading relations for dependency 1
Wed Apr  1 17:22:29 2015  read 543181 cycles
Wed Apr  1 17:22:29 2015  cycles contain 1799746 unique relations
Wed Apr  1 17:22:41 2015  read 1799746 relations
Wed Apr  1 17:22:45 2015  multiplying 1799746 relations
Wed Apr  1 17:23:42 2015  multiply complete, coefficients have about 71.27 million bits
Wed Apr  1 17:23:42 2015  initial square root is modulo 130621
Wed Apr  1 17:24:52 2015  GCD is N, no factor found
Wed Apr  1 17:24:52 2015  reading relations for dependency 2
Wed Apr  1 17:24:52 2015  read 542228 cycles
Wed Apr  1 17:24:53 2015  cycles contain 1800196 unique relations
Wed Apr  1 17:25:04 2015  read 1800196 relations
Wed Apr  1 17:25:08 2015  multiplying 1800196 relations
Wed Apr  1 17:26:05 2015  multiply complete, coefficients have about 71.29 million bits
Wed Apr  1 17:26:05 2015  initial square root is modulo 131041
Wed Apr  1 17:27:15 2015  GCD is 1, no factor found
Wed Apr  1 17:27:15 2015  reading relations for dependency 3
Wed Apr  1 17:27:15 2015  read 542454 cycles
Wed Apr  1 17:27:16 2015  cycles contain 1798254 unique relations
Wed Apr  1 17:27:27 2015  read 1798254 relations
Wed Apr  1 17:27:32 2015  multiplying 1798254 relations
Wed Apr  1 17:28:28 2015  multiply complete, coefficients have about 71.21 million bits
Wed Apr  1 17:28:28 2015  initial square root is modulo 129361
Wed Apr  1 17:29:38 2015  sqrtTime: 429
--
n: 237984455857383209865081970172369267880976826724107125424070985679303788631489911632613890850602863255089496522885005247815129548643691219957685921672168675719654311
m: 1000000000000000000000000000000000
deg: 5
c5: 646000
c0: -7
skew: 0.10
# Murphy_E = 1.342e-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 00:00:34 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 34 秒 (日本時間)
1CypJanuary 9, 2015 00:55:51 UTC 2015 年 1 月 9 日 (金) 9 時 55 分 51 秒 (日本時間)
2350Ignacio SantosFebruary 13, 2015 20:37:12 UTC 2015 年 2 月 14 日 (土) 5 時 37 分 12 秒 (日本時間)

646×10169-79

c119

name 名前Erik Branger
date 日付January 28, 2015 07:40:35 UTC 2015 年 1 月 28 日 (水) 16 時 40 分 35 秒 (日本時間)
composite number 合成数
28093494777862485573055417814828100578293053624115664940645642271391885597324284602951975639229204937155663251156120379<119>
prime factors 素因数
5669888693715772166626111240692593583314392673<46>
4954858251273952468614324551049155751896121715969350057647631386970519323<73>
factorization results 素因数分解の結果
Number: 71777_169
N = 28093494777862485573055417814828100578293053624115664940645642271391885597324284602951975639229204937155663251156120379 (119 digits)
Divisors found:
r1=5669888693715772166626111240692593583314392673 (pp46)
r2=4954858251273952468614324551049155751896121715969350057647631386970519323 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 14.19 hours.
Factorization parameters were as follows:
# Murphy_E = 3.347e-10, selected by Erik Branger
# expecting poly E from 3.98e-010 to > 4.58e-010
n: 28093494777862485573055417814828100578293053624115664940645642271391885597324284602951975639229204937155663251156120379
Y0: -51190645806403797562261
Y1: 3035772734441
c0: -9668306914661494131590533536
c1: 2100449140732180125898056
c2: 44133003143893119286
c3: -752516365551739
c4: -8532869988
c5: 79920
skew: 68330.13
type: gnfs
# selected mechanically
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9243690
Relations: 1067354 relations
Pruned matrix : 625239 x 625463
Polynomial selection time: 0.00 hours.
Total sieving time: 13.88 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.23 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,118,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4800000,4800000,27,27,51,51,2.5,2.5,100000
total time: 14.19 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)
403e6300Serge BatalovJanuary 11, 2015 00:12:02 UTC 2015 年 1 月 11 日 (日) 9 時 12 分 2 秒 (日本時間)
4511e6600 / 4409Pierre JammesJanuary 12, 2015 18:54:53 UTC 2015 年 1 月 13 日 (火) 3 時 54 分 53 秒 (日本時間)

646×10170-79

c113

name 名前Cyp
date 日付January 10, 2015 19:23:11 UTC 2015 年 1 月 11 日 (日) 4 時 23 分 11 秒 (日本時間)
composite number 合成数
10952641780444541158804335205654938718583761452845450696705515488320645157300048211604969891918372371082835449299<113>
prime factors 素因数
9589361027324838727194874932767726267239727869<46>
1142165963846291780757166214105986685388664745410420297575615667471<67>
factorization results 素因数分解の結果
01/10/15 18:05:32 v1.34.3, 
01/10/15 18:05:32 v1.34.3, ****************************
01/10/15 18:05:32 v1.34.3, Starting factorization of 10952641780444541158804335205654938718583761452845450696705515488320645157300048211604969891918372371082835449299
01/10/15 18:05:32 v1.34.3, using pretesting plan: none
01/10/15 18:05:32 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/10/15 18:05:32 v1.34.3, ****************************
01/10/15 18:05:32 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C113
01/10/15 18:05:32 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C113
01/10/15 18:05:32 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C113
01/10/15 18:05:32 v1.34.3, final ECM pretested depth: 0.00
01/10/15 18:05:32 v1.34.3, scheduler: switching to sieve method
01/10/15 18:05:32 v1.34.3, nfs: commencing nfs on c113: 10952641780444541158804335205654938718583761452845450696705515488320645157300048211604969891918372371082835449299
01/10/15 18:05:32 v1.34.3, nfs: commencing poly selection with 8 threads
01/10/15 18:05:32 v1.34.3, nfs: setting deadline of 650 seconds
01/10/15 18:16:26 v1.34.3, nfs: completed 142 ranges of size 250 in 654.5737 seconds
01/10/15 18:16:26 v1.34.3, nfs: best poly = # norm 1.165975e-10 alpha -6.114114 e 7.676e-10 rroots 5
01/10/15 18:16:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 18:22:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
[16 lines snipped]
01/10/15 20:00:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 20:06:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 20:12:55 v1.34.3, nfs: commencing msieve filtering
01/10/15 20:14:52 v1.34.3, nfs: commencing msieve linear algebra
01/10/15 20:20:22 v1.34.3, nfs: commencing msieve sqrt
01/10/15 20:23:10 v1.34.3, prp67 = 1142165963846291780757166214105986685388664745410420297575615667471
01/10/15 20:23:10 v1.34.3, prp46 = 9589361027324838727194874932767726267239727869
01/10/15 20:23:10 v1.34.3, NFS elapsed time = 8258.1387 seconds.
01/10/15 20:23:10 v1.34.3, 
01/10/15 20:23:10 v1.34.3, 
01/10/15 20:23:10 v1.34.3, Total factoring time = 8258.1617 seconds
--
Sat Jan 10 20:12:55 2015  
Sat Jan 10 20:12:55 2015  commencing relation filtering
Sat Jan 10 20:12:55 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 20:12:55 2015  commencing duplicate removal, pass 1
Sat Jan 10 20:13:29 2015  found 986082 hash collisions in 10109693 relations
Sat Jan 10 20:13:39 2015  added 62671 free relations
Sat Jan 10 20:13:39 2015  commencing duplicate removal, pass 2
Sat Jan 10 20:13:47 2015  found 400742 duplicates and 9771622 unique relations
Sat Jan 10 20:13:47 2015  memory use: 41.3 MB
Sat Jan 10 20:13:47 2015  reading ideals above 100000
Sat Jan 10 20:13:47 2015  commencing singleton removal, initial pass
Sat Jan 10 20:14:33 2015  memory use: 344.5 MB
Sat Jan 10 20:14:33 2015  reading all ideals from disk
Sat Jan 10 20:14:33 2015  memory use: 334.0 MB
Sat Jan 10 20:14:33 2015  keeping 10473676 ideals with weight <= 200, target excess is 83338
Sat Jan 10 20:14:34 2015  commencing in-memory singleton removal
Sat Jan 10 20:14:34 2015  begin with 9771622 relations and 10473676 unique ideals
Sat Jan 10 20:14:37 2015  reduce to 3714856 relations and 3297559 ideals in 17 passes
Sat Jan 10 20:14:37 2015  max relations containing the same ideal: 108
Sat Jan 10 20:14:38 2015  removing 919977 relations and 759665 ideals in 160312 cliques
Sat Jan 10 20:14:38 2015  commencing in-memory singleton removal
Sat Jan 10 20:14:38 2015  begin with 2794879 relations and 3297559 unique ideals
Sat Jan 10 20:14:39 2015  reduce to 2609190 relations and 2341464 ideals in 10 passes
Sat Jan 10 20:14:39 2015  max relations containing the same ideal: 83
Sat Jan 10 20:14:40 2015  removing 697722 relations and 537410 ideals in 160312 cliques
Sat Jan 10 20:14:40 2015  commencing in-memory singleton removal
Sat Jan 10 20:14:40 2015  begin with 1911468 relations and 2341464 unique ideals
Sat Jan 10 20:14:41 2015  reduce to 1755962 relations and 1638179 ideals in 11 passes
Sat Jan 10 20:14:41 2015  max relations containing the same ideal: 65
Sat Jan 10 20:14:41 2015  removing 147637 relations and 126527 ideals in 21110 cliques
Sat Jan 10 20:14:41 2015  commencing in-memory singleton removal
Sat Jan 10 20:14:41 2015  begin with 1608325 relations and 1638179 unique ideals
Sat Jan 10 20:14:41 2015  reduce to 1599575 relations and 1502789 ideals in 7 passes
Sat Jan 10 20:14:41 2015  max relations containing the same ideal: 61
Sat Jan 10 20:14:42 2015  relations with 0 large ideals: 629
Sat Jan 10 20:14:42 2015  relations with 1 large ideals: 8866
Sat Jan 10 20:14:42 2015  relations with 2 large ideals: 57256
Sat Jan 10 20:14:42 2015  relations with 3 large ideals: 198575
Sat Jan 10 20:14:42 2015  relations with 4 large ideals: 387953
Sat Jan 10 20:14:42 2015  relations with 5 large ideals: 449045
Sat Jan 10 20:14:42 2015  relations with 6 large ideals: 318958
Sat Jan 10 20:14:42 2015  relations with 7+ large ideals: 178293
Sat Jan 10 20:14:42 2015  commencing 2-way merge
Sat Jan 10 20:14:42 2015  reduce to 900782 relation sets and 803995 unique ideals
Sat Jan 10 20:14:42 2015  commencing full merge
Sat Jan 10 20:14:48 2015  memory use: 86.8 MB
Sat Jan 10 20:14:48 2015  found 445006 cycles, need 432195
Sat Jan 10 20:14:49 2015  weight of 432195 cycles is about 30505855 (70.58/cycle)
Sat Jan 10 20:14:49 2015  distribution of cycle lengths:
Sat Jan 10 20:14:49 2015  1 relations: 44137
Sat Jan 10 20:14:49 2015  2 relations: 43049
Sat Jan 10 20:14:49 2015  3 relations: 44998
Sat Jan 10 20:14:49 2015  4 relations: 42630
Sat Jan 10 20:14:49 2015  5 relations: 39727
Sat Jan 10 20:14:49 2015  6 relations: 36556
Sat Jan 10 20:14:49 2015  7 relations: 32821
Sat Jan 10 20:14:49 2015  8 relations: 29083
Sat Jan 10 20:14:49 2015  9 relations: 25481
Sat Jan 10 20:14:49 2015  10+ relations: 93713
Sat Jan 10 20:14:49 2015  heaviest cycle: 19 relations
Sat Jan 10 20:14:49 2015  commencing cycle optimization
Sat Jan 10 20:14:49 2015  start with 2704886 relations
Sat Jan 10 20:14:51 2015  pruned 60718 relations
Sat Jan 10 20:14:51 2015  memory use: 90.7 MB
Sat Jan 10 20:14:51 2015  distribution of cycle lengths:
Sat Jan 10 20:14:51 2015  1 relations: 44137
Sat Jan 10 20:14:51 2015  2 relations: 43992
Sat Jan 10 20:14:51 2015  3 relations: 46395
Sat Jan 10 20:14:51 2015  4 relations: 43600
Sat Jan 10 20:14:51 2015  5 relations: 40860
Sat Jan 10 20:14:51 2015  6 relations: 37126
Sat Jan 10 20:14:51 2015  7 relations: 33396
Sat Jan 10 20:14:51 2015  8 relations: 29329
Sat Jan 10 20:14:51 2015  9 relations: 25582
Sat Jan 10 20:14:51 2015  10+ relations: 87778
Sat Jan 10 20:14:51 2015  heaviest cycle: 19 relations
Sat Jan 10 20:14:52 2015  RelProcTime: 117
Sat Jan 10 20:14:52 2015  
Sat Jan 10 20:14:52 2015  commencing linear algebra
Sat Jan 10 20:14:52 2015  read 432195 cycles
Sat Jan 10 20:14:52 2015  cycles contain 1519985 unique relations
Sat Jan 10 20:15:03 2015  read 1519985 relations
Sat Jan 10 20:15:04 2015  using 20 quadratic characters above 134213414
Sat Jan 10 20:15:08 2015  building initial matrix
Sat Jan 10 20:15:17 2015  memory use: 189.7 MB
Sat Jan 10 20:15:18 2015  read 432195 cycles
Sat Jan 10 20:15:18 2015  matrix is 432016 x 432195 (130.2 MB) with weight 41444178 (95.89/col)
Sat Jan 10 20:15:18 2015  sparse part has weight 29378029 (67.97/col)
Sat Jan 10 20:15:20 2015  filtering completed in 2 passes
Sat Jan 10 20:15:20 2015  matrix is 431192 x 431371 (130.1 MB) with weight 41407945 (95.99/col)
Sat Jan 10 20:15:20 2015  sparse part has weight 29365125 (68.07/col)
Sat Jan 10 20:15:20 2015  matrix starts at (0, 0)
Sat Jan 10 20:15:20 2015  matrix is 431192 x 431371 (130.1 MB) with weight 41407945 (95.99/col)
Sat Jan 10 20:15:20 2015  sparse part has weight 29365125 (68.07/col)
Sat Jan 10 20:15:20 2015  saving the first 48 matrix rows for later
Sat Jan 10 20:15:20 2015  matrix includes 64 packed rows
Sat Jan 10 20:15:20 2015  matrix is 431144 x 431371 (125.5 MB) with weight 32841251 (76.13/col)
Sat Jan 10 20:15:20 2015  sparse part has weight 28578147 (66.25/col)
Sat Jan 10 20:15:20 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 10 20:15:21 2015  commencing Lanczos iteration (8 threads)
Sat Jan 10 20:15:21 2015  memory use: 119.7 MB
Sat Jan 10 20:15:30 2015  linear algebra at 2.8%, ETA 0h 5m
Sat Jan 10 20:20:22 2015  lanczos halted after 6817 iterations (dim = 431144)
Sat Jan 10 20:20:22 2015  recovered 29 nontrivial dependencies
Sat Jan 10 20:20:22 2015  BLanczosTime: 330
Sat Jan 10 20:20:22 2015  
Sat Jan 10 20:20:22 2015  commencing square root phase
Sat Jan 10 20:20:22 2015  reading relations for dependency 1
Sat Jan 10 20:20:22 2015  read 215515 cycles
Sat Jan 10 20:20:22 2015  cycles contain 759296 unique relations
Sat Jan 10 20:20:31 2015  read 759296 relations
Sat Jan 10 20:20:33 2015  multiplying 759296 relations
Sat Jan 10 20:20:53 2015  multiply complete, coefficients have about 32.17 million bits
Sat Jan 10 20:20:53 2015  initial square root is modulo 1727209873
Sat Jan 10 20:21:19 2015  GCD is 1, no factor found
Sat Jan 10 20:21:19 2015  reading relations for dependency 2
Sat Jan 10 20:21:19 2015  read 215300 cycles
Sat Jan 10 20:21:19 2015  cycles contain 757734 unique relations
Sat Jan 10 20:21:28 2015  read 757734 relations
Sat Jan 10 20:21:29 2015  multiplying 757734 relations
Sat Jan 10 20:21:50 2015  multiply complete, coefficients have about 32.10 million bits
Sat Jan 10 20:21:50 2015  initial square root is modulo 1653840163
Sat Jan 10 20:22:15 2015  Newton iteration failed to converge
Sat Jan 10 20:22:15 2015  algebraic square root failed
Sat Jan 10 20:22:15 2015  reading relations for dependency 3
Sat Jan 10 20:22:15 2015  read 215761 cycles
Sat Jan 10 20:22:15 2015  cycles contain 760986 unique relations
Sat Jan 10 20:22:24 2015  read 760986 relations
Sat Jan 10 20:22:25 2015  multiplying 760986 relations
Sat Jan 10 20:22:45 2015  multiply complete, coefficients have about 32.24 million bits
Sat Jan 10 20:22:45 2015  initial square root is modulo 1814500033
Sat Jan 10 20:23:10 2015  sqrtTime: 168
--
n: 10952641780444541158804335205654938718583761452845450696705515488320645157300048211604969891918372371082835449299
skew: 54961.60
c0: -241443381713189773406275440
c1: 94346870589237095650024
c2: 786539296759111969
c3: -103402482370772
c4: -281377716
c5: 7344
Y0: -4312382517507525092443
Y1: 43561549427
rlim: 3980000
alim: 3980000
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 9, 2015 23:50:28 UTC 2015 年 1 月 10 日 (土) 8 時 50 分 28 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 9, 2015 23:50:28 UTC 2015 年 1 月 10 日 (土) 8 時 50 分 28 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 9, 2015 23:50:28 UTC 2015 年 1 月 10 日 (土) 8 時 50 分 28 秒 (日本時間)

646×10172-79

c126

name 名前Pierre Jammes
date 日付January 27, 2015 07:29:02 UTC 2015 年 1 月 27 日 (火) 16 時 29 分 2 秒 (日本時間)
composite number 合成数
340948490404219538181851088577503079343429061560070491479494799696774782897637700726135287072780155000722056922900264802507931<126>
prime factors 素因数
76311938117021010253226359130752077803167<41>
4467826382307182151346321396699640248047949554923267099203989069588820756040888540293<85>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=897734611
Step 1 took 60256ms
Step 2 took 51808ms
********** Factor found in step 2: 76311938117021010253226359130752077803167
Found probable prime factor of 41 digits: 76311938117021010253226359130752077803167
Probable prime cofactor 4467826382307182151346321396699640248047949554923267099203989069588820756040888540293 has 85 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
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 00:00:35 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 35 秒 (日本時間)

646×10173-79

c165

name 名前Cyp
date 日付April 28, 2015 16:27:28 UTC 2015 年 4 月 29 日 (水) 1 時 27 分 28 秒 (日本時間)
composite number 合成数
342977874460201570533662130737666980657458130072990449786389601454849625920432898650646957067173081542890364534745681846119725055140052081486599396970226274476735489<165>
prime factors 素因数
29243545077086566950604745634452302430216411636796331578180213924161<68>
11728327518298655859804712145524877563503008922296802709255763235266433544206216887245186195155649<98>
factorization results 素因数分解の結果
04/27/15 08:26:35 v1.34.3, 
04/27/15 08:26:35 v1.34.3, ****************************
04/27/15 08:26:35 v1.34.3, Starting factorization of 342977874460201570533662130737666980657458130072990449786389601454849625920432898650646957067173081542890364534745681846119725055140052081486599396970226274476735489
04/27/15 08:26:35 v1.34.3, using pretesting plan: none
04/27/15 08:26:35 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/27/15 08:26:35 v1.34.3, ****************************
04/27/15 08:26:35 v1.34.3, nfs: commencing nfs on c165: 342977874460201570533662130737666980657458130072990449786389601454849625920432898650646957067173081542890364534745681846119725055140052081486599396970226274476735489
04/27/15 08:26:35 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/27/15 08:26:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/27/15 08:31:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
[211 lines snipped]
04/28/15 02:25:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/28/15 02:30:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/28/15 02:34:59 v1.34.3, nfs: commencing msieve filtering
04/28/15 02:38:54 v1.34.3, nfs: commencing msieve linear algebra
04/28/15 08:07:00 v1.34.3, 
04/28/15 08:07:00 v1.34.3, ****************************
04/28/15 08:07:00 v1.34.3, Starting factorization of 342977874460201570533662130737666980657458130072990449786389601454849625920432898650646957067173081542890364534745681846119725055140052081486599396970226274476735489
04/28/15 08:07:00 v1.34.3, using pretesting plan: none
04/28/15 08:07:00 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/28/15 08:07:00 v1.34.3, ****************************
04/28/15 08:07:00 v1.34.3, nfs: commencing nfs on c165: 342977874460201570533662130737666980657458130072990449786389601454849625920432898650646957067173081542890364534745681846119725055140052081486599396970226274476735489
04/28/15 08:07:00 v1.34.3, nfs: resuming with sieving at user specified special-q 11599999
04/28/15 08:07:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/28/15 09:40:11 v1.34.3, c165 cofactor = 342977874460201570533662130737666980657458130072990449786389601454849625920432898650646957067173081542890364534745681846119725055140052081486599396970226274476735489
04/28/15 09:40:11 v1.34.3, Total factoring time = 5590.5080 seconds
04/28/15 17:45:36 v1.34.3, 
04/28/15 17:45:36 v1.34.3, ****************************
04/28/15 17:45:36 v1.34.3, Starting factorization of 342977874460201570533662130737666980657458130072990449786389601454849625920432898650646957067173081542890364534745681846119725055140052081486599396970226274476735489
04/28/15 17:45:36 v1.34.3, using pretesting plan: none
04/28/15 17:45:36 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/28/15 17:45:36 v1.34.3, ****************************
04/28/15 17:45:36 v1.34.3, nfs: previous data file found - commencing search for last special-q
04/28/15 17:45:53 v1.34.3, nfs: parsing special-q from .dat file
04/28/15 17:45:53 v1.34.3, nfs: commencing nfs on c165: 342977874460201570533662130737666980657458130072990449786389601454849625920432898650646957067173081542890364534745681846119725055140052081486599396970226274476735489
04/28/15 17:45:53 v1.34.3, nfs: resuming with filtering
04/28/15 17:45:53 v1.34.3, nfs: commencing msieve filtering
04/28/15 17:50:03 v1.34.3, nfs: commencing msieve linear algebra
04/28/15 18:25:07 v1.34.3, nfs: commencing msieve sqrt
04/28/15 18:27:26 v1.34.3, prp68 = 29243545077086566950604745634452302430216411636796331578180213924161
04/28/15 18:27:26 v1.34.3, prp98 = 11728327518298655859804712145524877563503008922296802709255763235266433544206216887245186195155649
04/28/15 18:27:27 v1.34.3, NFS elapsed time = 2511.0992 seconds.
04/28/15 18:27:27 v1.34.3, 
04/28/15 18:27:27 v1.34.3, 
04/28/15 18:27:27 v1.34.3, Total factoring time = 2511.1107 seconds
--
Tue Apr 28 02:34:59 2015  
Tue Apr 28 02:34:59 2015  commencing relation filtering
Tue Apr 28 02:34:59 2015  estimated available RAM is 15987.3 MB
Tue Apr 28 02:34:59 2015  commencing duplicate removal, pass 1
Tue Apr 28 02:36:01 2015  skipped 1 relations with b > 2^32
Tue Apr 28 02:36:01 2015  found 3995221 hash collisions in 21105429 relations
Tue Apr 28 02:36:18 2015  added 691435 free relations
Tue Apr 28 02:36:18 2015  commencing duplicate removal, pass 2
Tue Apr 28 02:36:38 2015  found 3475106 duplicates and 18321758 unique relations
Tue Apr 28 02:36:38 2015  memory use: 90.6 MB
Tue Apr 28 02:36:38 2015  reading ideals above 720000
Tue Apr 28 02:36:38 2015  commencing singleton removal, initial pass
Tue Apr 28 02:38:01 2015  memory use: 376.5 MB
Tue Apr 28 02:38:01 2015  reading all ideals from disk
Tue Apr 28 02:38:01 2015  memory use: 557.4 MB
Tue Apr 28 02:38:02 2015  keeping 18848300 ideals with weight <= 200, target excess is 116346
Tue Apr 28 02:38:03 2015  commencing in-memory singleton removal
Tue Apr 28 02:38:04 2015  begin with 18321758 relations and 18848300 unique ideals
Tue Apr 28 02:38:10 2015  reduce to 8877662 relations and 7277037 ideals in 13 passes
Tue Apr 28 02:38:10 2015  max relations containing the same ideal: 120
Tue Apr 28 02:38:13 2015  removing 1610550 relations and 1210550 ideals in 400000 cliques
Tue Apr 28 02:38:13 2015  commencing in-memory singleton removal
Tue Apr 28 02:38:14 2015  begin with 7267112 relations and 7277037 unique ideals
Tue Apr 28 02:38:16 2015  reduce to 7047167 relations and 5834323 ideals in 8 passes
Tue Apr 28 02:38:16 2015  max relations containing the same ideal: 104
Tue Apr 28 02:38:18 2015  removing 1312587 relations and 912587 ideals in 400000 cliques
Tue Apr 28 02:38:18 2015  commencing in-memory singleton removal
Tue Apr 28 02:38:19 2015  begin with 5734580 relations and 5834323 unique ideals
Tue Apr 28 02:38:20 2015  reduce to 5570125 relations and 4748107 ideals in 7 passes
Tue Apr 28 02:38:20 2015  max relations containing the same ideal: 89
Tue Apr 28 02:38:22 2015  removing 1231976 relations and 831976 ideals in 400000 cliques
Tue Apr 28 02:38:22 2015  commencing in-memory singleton removal
Tue Apr 28 02:38:22 2015  begin with 4338149 relations and 4748107 unique ideals
Tue Apr 28 02:38:24 2015  reduce to 4170288 relations and 3737174 ideals in 7 passes
Tue Apr 28 02:38:24 2015  max relations containing the same ideal: 72
Tue Apr 28 02:38:25 2015  removing 937573 relations and 639421 ideals in 298152 cliques
Tue Apr 28 02:38:25 2015  commencing in-memory singleton removal
Tue Apr 28 02:38:25 2015  begin with 3232715 relations and 3737174 unique ideals
Tue Apr 28 02:38:26 2015  reduce to 3106091 relations and 2963027 ideals in 8 passes
Tue Apr 28 02:38:26 2015  max relations containing the same ideal: 58
Tue Apr 28 02:38:27 2015  removing 49305 relations and 41203 ideals in 8102 cliques
Tue Apr 28 02:38:27 2015  commencing in-memory singleton removal
Tue Apr 28 02:38:27 2015  begin with 3056786 relations and 2963027 unique ideals
Tue Apr 28 02:38:28 2015  reduce to 3056336 relations and 2921372 ideals in 5 passes
Tue Apr 28 02:38:28 2015  max relations containing the same ideal: 57
Tue Apr 28 02:38:28 2015  relations with 0 large ideals: 2930
Tue Apr 28 02:38:28 2015  relations with 1 large ideals: 1946
Tue Apr 28 02:38:28 2015  relations with 2 large ideals: 27554
Tue Apr 28 02:38:28 2015  relations with 3 large ideals: 162016
Tue Apr 28 02:38:28 2015  relations with 4 large ideals: 484532
Tue Apr 28 02:38:28 2015  relations with 5 large ideals: 819486
Tue Apr 28 02:38:28 2015  relations with 6 large ideals: 846683
Tue Apr 28 02:38:28 2015  relations with 7+ large ideals: 711189
Tue Apr 28 02:38:28 2015  commencing 2-way merge
Tue Apr 28 02:38:29 2015  reduce to 1972410 relation sets and 1837446 unique ideals
Tue Apr 28 02:38:29 2015  commencing full merge
Tue Apr 28 02:38:47 2015  memory use: 229.1 MB
Tue Apr 28 02:38:47 2015  found 1046002 cycles, need 1027646
Tue Apr 28 02:38:47 2015  weight of 1027646 cycles is about 72289745 (70.34/cycle)
Tue Apr 28 02:38:47 2015  distribution of cycle lengths:
Tue Apr 28 02:38:47 2015  1 relations: 75988
Tue Apr 28 02:38:47 2015  2 relations: 106115
Tue Apr 28 02:38:47 2015  3 relations: 120354
Tue Apr 28 02:38:47 2015  4 relations: 121568
Tue Apr 28 02:38:47 2015  5 relations: 116917
Tue Apr 28 02:38:47 2015  6 relations: 107586
Tue Apr 28 02:38:47 2015  7 relations: 92858
Tue Apr 28 02:38:47 2015  8 relations: 76506
Tue Apr 28 02:38:47 2015  9 relations: 60876
Tue Apr 28 02:38:47 2015  10+ relations: 148878
Tue Apr 28 02:38:47 2015  heaviest cycle: 18 relations
Tue Apr 28 02:38:47 2015  commencing cycle optimization
Tue Apr 28 02:38:48 2015  start with 5914558 relations
Tue Apr 28 02:38:53 2015  pruned 174847 relations
Tue Apr 28 02:38:53 2015  memory use: 187.5 MB
Tue Apr 28 02:38:53 2015  distribution of cycle lengths:
Tue Apr 28 02:38:53 2015  1 relations: 75988
Tue Apr 28 02:38:53 2015  2 relations: 108465
Tue Apr 28 02:38:53 2015  3 relations: 125173
Tue Apr 28 02:38:53 2015  4 relations: 125581
Tue Apr 28 02:38:53 2015  5 relations: 121519
Tue Apr 28 02:38:53 2015  6 relations: 110555
Tue Apr 28 02:38:53 2015  7 relations: 94887
Tue Apr 28 02:38:53 2015  8 relations: 76831
Tue Apr 28 02:38:53 2015  9 relations: 59464
Tue Apr 28 02:38:53 2015  10+ relations: 129183
Tue Apr 28 02:38:53 2015  heaviest cycle: 18 relations
Tue Apr 28 02:38:54 2015  RelProcTime: 235
Tue Apr 28 02:38:54 2015  
Tue Apr 28 02:38:54 2015  commencing linear algebra
Tue Apr 28 02:38:54 2015  read 1027646 cycles
Tue Apr 28 02:38:55 2015  cycles contain 2984794 unique relations
Tue Apr 28 02:39:17 2015  read 2984794 relations
Tue Apr 28 02:39:19 2015  using 20 quadratic characters above 268435292
Tue Apr 28 02:39:28 2015  building initial matrix
Tue Apr 28 02:39:48 2015  memory use: 373.0 MB
Tue Apr 28 02:39:48 2015  read 1027646 cycles
Tue Apr 28 02:39:48 2015  matrix is 1028674 x 1027646 (307.9 MB) with weight 90566986 (88.13/col)
Tue Apr 28 02:39:48 2015  sparse part has weight 69400750 (67.53/col)
Tue Apr 28 02:39:54 2015  filtering completed in 2 passes
Tue Apr 28 02:39:54 2015  matrix is 1027505 x 1027204 (307.8 MB) with weight 90537938 (88.14/col)
Tue Apr 28 02:39:54 2015  sparse part has weight 69380891 (67.54/col)
Tue Apr 28 02:39:57 2015  matrix starts at (0, 0)
Tue Apr 28 02:39:57 2015  matrix is 1027505 x 1027204 (307.8 MB) with weight 90537938 (88.14/col)
Tue Apr 28 02:39:57 2015  sparse part has weight 69380891 (67.54/col)
Tue Apr 28 02:39:57 2015  matrix needs more columns than rows; try adding 2-3% more relations
Tue Apr 28 17:45:53 2015  
Tue Apr 28 17:45:53 2015  commencing relation filtering
Tue Apr 28 17:45:53 2015  estimated available RAM is 15987.3 MB
Tue Apr 28 17:45:53 2015  commencing duplicate removal, pass 1
Tue Apr 28 17:47:06 2015  skipped 1 relations with b > 2^32
Tue Apr 28 17:47:06 2015  found 4306458 hash collisions in 22608246 relations
Tue Apr 28 17:47:23 2015  added 2890 free relations
Tue Apr 28 17:47:23 2015  commencing duplicate removal, pass 2
Tue Apr 28 17:47:43 2015  found 3697206 duplicates and 18913930 unique relations
Tue Apr 28 17:47:43 2015  memory use: 149.2 MB
Tue Apr 28 17:47:43 2015  reading ideals above 720000
Tue Apr 28 17:47:43 2015  commencing singleton removal, initial pass
Tue Apr 28 17:49:07 2015  memory use: 376.5 MB
Tue Apr 28 17:49:07 2015  reading all ideals from disk
Tue Apr 28 17:49:08 2015  memory use: 575.5 MB
Tue Apr 28 17:49:09 2015  keeping 19080146 ideals with weight <= 200, target excess is 116525
Tue Apr 28 17:49:10 2015  commencing in-memory singleton removal
Tue Apr 28 17:49:10 2015  begin with 18913930 relations and 19080146 unique ideals
Tue Apr 28 17:49:17 2015  reduce to 9520466 relations and 7626509 ideals in 13 passes
Tue Apr 28 17:49:17 2015  max relations containing the same ideal: 123
Tue Apr 28 17:49:20 2015  removing 1573168 relations and 1173168 ideals in 400000 cliques
Tue Apr 28 17:49:20 2015  commencing in-memory singleton removal
Tue Apr 28 17:49:21 2015  begin with 7947298 relations and 7626509 unique ideals
Tue Apr 28 17:49:24 2015  reduce to 7751257 relations and 6247214 ideals in 8 passes
Tue Apr 28 17:49:24 2015  max relations containing the same ideal: 110
Tue Apr 28 17:49:26 2015  removing 1283504 relations and 883504 ideals in 400000 cliques
Tue Apr 28 17:49:26 2015  commencing in-memory singleton removal
Tue Apr 28 17:49:26 2015  begin with 6467753 relations and 6247214 unique ideals
Tue Apr 28 17:49:28 2015  reduce to 6326053 relations and 5214952 ideals in 7 passes
Tue Apr 28 17:49:28 2015  max relations containing the same ideal: 99
Tue Apr 28 17:49:30 2015  removing 1205295 relations and 805295 ideals in 400000 cliques
Tue Apr 28 17:49:30 2015  commencing in-memory singleton removal
Tue Apr 28 17:49:30 2015  begin with 5120758 relations and 5214952 unique ideals
Tue Apr 28 17:49:32 2015  reduce to 4980737 relations and 4261562 ideals in 7 passes
Tue Apr 28 17:49:32 2015  max relations containing the same ideal: 82
Tue Apr 28 17:49:33 2015  removing 1166489 relations and 766489 ideals in 400000 cliques
Tue Apr 28 17:49:34 2015  commencing in-memory singleton removal
Tue Apr 28 17:49:34 2015  begin with 3814248 relations and 4261562 unique ideals
Tue Apr 28 17:49:35 2015  reduce to 3660354 relations and 3330189 ideals in 7 passes
Tue Apr 28 17:49:35 2015  max relations containing the same ideal: 65
Tue Apr 28 17:49:36 2015  removing 633730 relations and 438735 ideals in 194995 cliques
Tue Apr 28 17:49:36 2015  commencing in-memory singleton removal
Tue Apr 28 17:49:36 2015  begin with 3026624 relations and 3330189 unique ideals
Tue Apr 28 17:49:37 2015  reduce to 2959532 relations and 2821146 ideals in 8 passes
Tue Apr 28 17:49:37 2015  max relations containing the same ideal: 53
Tue Apr 28 17:49:38 2015  relations with 0 large ideals: 2930
Tue Apr 28 17:49:38 2015  relations with 1 large ideals: 2031
Tue Apr 28 17:49:38 2015  relations with 2 large ideals: 28438
Tue Apr 28 17:49:38 2015  relations with 3 large ideals: 164465
Tue Apr 28 17:49:38 2015  relations with 4 large ideals: 482502
Tue Apr 28 17:49:38 2015  relations with 5 large ideals: 800323
Tue Apr 28 17:49:38 2015  relations with 6 large ideals: 811197
Tue Apr 28 17:49:38 2015  relations with 7+ large ideals: 667646
Tue Apr 28 17:49:38 2015  commencing 2-way merge
Tue Apr 28 17:49:39 2015  reduce to 1937919 relation sets and 1799533 unique ideals
Tue Apr 28 17:49:39 2015  commencing full merge
Tue Apr 28 17:49:56 2015  memory use: 223.3 MB
Tue Apr 28 17:49:56 2015  found 1027200 cycles, need 1005733
Tue Apr 28 17:49:56 2015  weight of 1005733 cycles is about 70420304 (70.02/cycle)
Tue Apr 28 17:49:56 2015  distribution of cycle lengths:
Tue Apr 28 17:49:56 2015  1 relations: 69212
Tue Apr 28 17:49:56 2015  2 relations: 100595
Tue Apr 28 17:49:56 2015  3 relations: 119247
Tue Apr 28 17:49:56 2015  4 relations: 121536
Tue Apr 28 17:49:56 2015  5 relations: 118739
Tue Apr 28 17:49:56 2015  6 relations: 108473
Tue Apr 28 17:49:56 2015  7 relations: 94626
Tue Apr 28 17:49:56 2015  8 relations: 76663
Tue Apr 28 17:49:56 2015  9 relations: 59945
Tue Apr 28 17:49:56 2015  10+ relations: 136697
Tue Apr 28 17:49:56 2015  heaviest cycle: 18 relations
Tue Apr 28 17:49:57 2015  commencing cycle optimization
Tue Apr 28 17:49:57 2015  start with 5748208 relations
Tue Apr 28 17:50:02 2015  pruned 175389 relations
Tue Apr 28 17:50:02 2015  memory use: 181.5 MB
Tue Apr 28 17:50:02 2015  distribution of cycle lengths:
Tue Apr 28 17:50:02 2015  1 relations: 69212
Tue Apr 28 17:50:02 2015  2 relations: 102979
Tue Apr 28 17:50:02 2015  3 relations: 124120
Tue Apr 28 17:50:02 2015  4 relations: 125880
Tue Apr 28 17:50:02 2015  5 relations: 123591
Tue Apr 28 17:50:02 2015  6 relations: 112011
Tue Apr 28 17:50:02 2015  7 relations: 96639
Tue Apr 28 17:50:02 2015  8 relations: 76633
Tue Apr 28 17:50:02 2015  9 relations: 58644
Tue Apr 28 17:50:02 2015  10+ relations: 116024
Tue Apr 28 17:50:02 2015  heaviest cycle: 17 relations
Tue Apr 28 17:50:03 2015  RelProcTime: 250
Tue Apr 28 17:50:03 2015  
Tue Apr 28 17:50:03 2015  commencing linear algebra
Tue Apr 28 17:50:03 2015  read 1005733 cycles
Tue Apr 28 17:50:04 2015  cycles contain 2873702 unique relations
Tue Apr 28 17:50:30 2015  read 2873702 relations
Tue Apr 28 17:50:32 2015  using 20 quadratic characters above 268435292
Tue Apr 28 17:50:41 2015  building initial matrix
Tue Apr 28 17:50:58 2015  memory use: 361.1 MB
Tue Apr 28 17:50:59 2015  read 1005733 cycles
Tue Apr 28 17:50:59 2015  matrix is 1005629 x 1005733 (299.9 MB) with weight 88278983 (87.78/col)
Tue Apr 28 17:50:59 2015  sparse part has weight 67545698 (67.16/col)
Tue Apr 28 17:51:04 2015  filtering completed in 2 passes
Tue Apr 28 17:51:04 2015  matrix is 1005336 x 1005493 (299.8 MB) with weight 88269887 (87.79/col)
Tue Apr 28 17:51:04 2015  sparse part has weight 67541434 (67.17/col)
Tue Apr 28 17:51:07 2015  matrix starts at (0, 0)
Tue Apr 28 17:51:07 2015  matrix is 1005336 x 1005493 (299.8 MB) with weight 88269887 (87.79/col)
Tue Apr 28 17:51:07 2015  sparse part has weight 67541434 (67.17/col)
Tue Apr 28 17:51:07 2015  saving the first 48 matrix rows for later
Tue Apr 28 17:51:07 2015  matrix includes 64 packed rows
Tue Apr 28 17:51:07 2015  matrix is 1005288 x 1005493 (283.7 MB) with weight 69923041 (69.54/col)
Tue Apr 28 17:51:07 2015  sparse part has weight 64304518 (63.95/col)
Tue Apr 28 17:51:07 2015  using block size 65536 for processor cache size 8192 kB
Tue Apr 28 17:51:09 2015  commencing Lanczos iteration (8 threads)
Tue Apr 28 17:51:09 2015  memory use: 277.7 MB
Tue Apr 28 17:51:12 2015  linear algebra at 0.2%, ETA 0h32m
Tue Apr 28 17:51:13 2015  checkpointing every 1830000 dimensions
Tue Apr 28 18:25:06 2015  lanczos halted after 15899 iterations (dim = 1005284)
Tue Apr 28 18:25:07 2015  recovered 38 nontrivial dependencies
Tue Apr 28 18:25:07 2015  BLanczosTime: 2104
Tue Apr 28 18:25:07 2015  
Tue Apr 28 18:25:07 2015  commencing square root phase
Tue Apr 28 18:25:07 2015  reading relations for dependency 1
Tue Apr 28 18:25:07 2015  read 502873 cycles
Tue Apr 28 18:25:07 2015  cycles contain 1437164 unique relations
Tue Apr 28 18:25:31 2015  read 1437164 relations
Tue Apr 28 18:25:35 2015  multiplying 1437164 relations
Tue Apr 28 18:26:23 2015  multiply complete, coefficients have about 57.31 million bits
Tue Apr 28 18:26:23 2015  initial square root is modulo 169215601
Tue Apr 28 18:27:26 2015  sqrtTime: 139
--
n: 342977874460201570533662130737666980657458130072990449786389601454849625920432898650646957067173081542890364534745681846119725055140052081486599396970226274476735489
m: 10000000000000000000000000000000000
deg: 5
c5: 646000
c0: -7
skew: 0.10
# Murphy_E = 8.494e-11
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
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)
403e62651300Serge BatalovJanuary 9, 2015 00:00:36 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 36 秒 (日本時間)
1CypJanuary 9, 2015 00:53:44 UTC 2015 年 1 月 9 日 (金) 9 時 53 分 44 秒 (日本時間)
2350Ignacio SantosMarch 29, 2015 09:00:27 UTC 2015 年 3 月 29 日 (日) 18 時 0 分 27 秒 (日本時間)

646×10174-79

c152

name 名前KTakahashi
date 日付May 1, 2015 10:48:08 UTC 2015 年 5 月 1 日 (金) 19 時 48 分 8 秒 (日本時間)
composite number 合成数
41374065555103850747826702168073699377378912983559898802241829229931007440878726955982871191504975504921102850808520150707796134440280623964591781279261<152>
prime factors 素因数
103469984694988718467961223663245069251<39>
399865387794028433648550064900447481348039264682970816126010884069223528073631199192992812823679226209938529892511<114>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 41374065555103850747826702168073699377378912983559898802241829229931007440878726955982871191504975504921102850808520150707796134440280623964591781279261 (152 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3580919661
Step 1 took 41606ms
Step 2 took 18127ms
********** Factor found in step 2: 103469984694988718467961223663245069251
Found probable prime factor of 39 digits: 103469984694988718467961223663245069251
Probable prime cofactor 399865387794028433648550064900447481348039264682970816126010884069223528073631199192992812823679226209938529892511 has 114 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 00:00:36 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 36 秒 (日本時間)

646×10175-79

c135

name 名前Jo Yeong Uk
date 日付May 27, 2015 12:22:05 UTC 2015 年 5 月 27 日 (水) 21 時 22 分 5 秒 (日本時間)
composite number 合成数
659513091872875759440411254219499857205804887239340340452454672396029102971391457457364242303861634416673565441703740256868879935472209<135>
prime factors 素因数
45008851416522792318268415986292345839433159787184959749<56>
14652964275172946845622507045340839577164670624475829155206680090978564609752541<80>
factorization results 素因数分解の結果
Number: 71777_175
N=659513091872875759440411254219499857205804887239340340452454672396029102971391457457364242303861634416673565441703740256868879935472209
  ( 135 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=45008851416522792318268415986292345839433159787184959749
 r2=14652964275172946845622507045340839577164670624475829155206680090978564609752541
Version: 
Total time: 37.60 hours.
Scaled time: 197.47 units (timescale=5.252).
Factorization parameters were as follows:
n: 659513091872875759440411254219499857205804887239340340452454672396029102971391457457364242303861634416673565441703740256868879935472209
m: 100000000000000000000000000000000000
deg: 5
c5: 646
c0: -7
skew: 0.40
# Murphy_E = 1.083e-10
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 8000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18291502
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1396674 x 1396922
Total sieving time: 33.18 hours.
Total relation processing time: 1.92 hours.
Matrix solve time: 2.41 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 37.60 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)
403e6300Serge BatalovJanuary 9, 2015 00:00:37 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 37 秒 (日本時間)
4511e6600 / 4409KTakahashiApril 28, 2015 09:19:37 UTC 2015 年 4 月 28 日 (火) 18 時 19 分 37 秒 (日本時間)

646×10176-79

c156

name 名前Jo Yeong Uk
date 日付October 5, 2015 09:28:00 UTC 2015 年 10 月 5 日 (月) 18 時 28 分 0 秒 (日本時間)
composite number 合成数
979284088763353076149211023007840245798988429786904318028293735399081053282929264177183380213873068714650274843507319530647224286846487523600202115658560843<156>
prime factors 素因数
67308176401912110788685118566200598269711743862755402976108821<62>
14549258962474777152329584537627184987376947667617626527840460517987056810704619520239620674783<95>
factorization results 素因数分解の結果
Number: 71777_176
N=979284088763353076149211023007840245798988429786904318028293735399081053282929264177183380213873068714650274843507319530647224286846487523600202115658560843
  ( 156 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=67308176401912110788685118566200598269711743862755402976108821
 r2=14549258962474777152329584537627184987376947667617626527840460517987056810704619520239620674783
Version: 
Total time: 59.48 hours.
Scaled time: 311.60 units (timescale=5.239).
Factorization parameters were as follows:
n: 979284088763353076149211023007840245798988429786904318028293735399081053282929264177183380213873068714650274843507319530647224286846487523600202115658560843
m: 100000000000000000000000000000000000
deg: 5
c5: 6460
c0: -7
skew: 0.26
# Murphy_E = 7.408e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4200000, 10800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19424325
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1608215 x 1608463
Total sieving time: 52.85 hours.
Total relation processing time: 3.19 hours.
Matrix solve time: 3.30 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,53,53,2.5,2.5,100000
total time: 59.48 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 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 00:00:38 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 38 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 2, 2015 22:59:29 UTC 2015 年 5 月 3 日 (日) 7 時 59 分 29 秒 (日本時間)

646×10177-79

c141

name 名前Jo Yeong Uk
date 日付June 7, 2015 20:53:41 UTC 2015 年 6 月 8 日 (月) 5 時 53 分 41 秒 (日本時間)
composite number 合成数
250829513589284480308374325244228408413467429045022832629749587676333617448281315311667552812468876299775492774005934825426798860904941430673<141>
prime factors 素因数
60384305739294779986017052549612081089803<41>
4153885856901695724463621311066193032299224431242004285345736986086566741122380332071249278079166291<100>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 250829513589284480308374325244228408413467429045022832629749587676333617448281315311667552812468876299775492774005934825426798860904941430673 (141 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3818934961
Step 1 took 24531ms
Step 2 took 8539ms
********** Factor found in step 2: 60384305739294779986017052549612081089803
Found probable prime factor of 41 digits: 60384305739294779986017052549612081089803
Probable prime cofactor 4153885856901695724463621311066193032299224431242004285345736986086566741122380332071249278079166291 has 100 digits
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 00:00:39 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 39 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 4, 2015 23:51:13 UTC 2015 年 5 月 5 日 (火) 8 時 51 分 13 秒 (日本時間)

646×10178-79

c162

name 名前Jo Yeong Uk
date 日付October 2, 2015 14:07:03 UTC 2015 年 10 月 2 日 (金) 23 時 7 分 3 秒 (日本時間)
composite number 合成数
171708176640403224578512192407659128962113013493184105932135777842017868716364030020990344360774053955413277490411264522264571703368636642045719492698216715410837<162>
prime factors 素因数
258485822616932132672148300148886634937<39>
563024779410576973175305763373106363174213066835293381<54>
1179849843902330030236330903522275346747036034820762147143528588493721<70>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 171708176640403224578512192407659128962113013493184105932135777842017868716364030020990344360774053955413277490411264522264571703368636642045719492698216715410837 (162 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2874671553
Step 1 took 29360ms
Step 2 took 9728ms
********** Factor found in step 2: 258485822616932132672148300148886634937
Found probable prime factor of 39 digits: 258485822616932132672148300148886634937
Composite cofactor 664284698100713040569649173738868963452383586230895769737803944953231402634724526249417386618424290991203944111663911360701 has 123 digits

Number: 71777_178
N=664284698100713040569649173738868963452383586230895769737803944953231402634724526249417386618424290991203944111663911360701
  ( 123 digits)
Divisors found:
 r1=563024779410576973175305763373106363174213066835293381
 r2=1179849843902330030236330903522275346747036034820762147143528588493721
Version: 
Total time: 25.95 hours.
Scaled time: 134.45 units (timescale=5.181).
Factorization parameters were as follows:
name: 71777_178
n: 664284698100713040569649173738868963452383586230895769737803944953231402634724526249417386618424290991203944111663911360701
skew: 142275.18
# norm 1.60e+17
c5: 39240
c4: 27083667468
c3: -1835472157829162
c2: -428399120618259883135
c1: 18383346854896554780378720
c0: 1118883212419055468945438356725
# alpha -6.23
Y1: 27590723959333
Y0: -442304451602355033935606
# Murphy_E 1.81e-10
# M 535972457884099581117083765920568926340317329519429178590340539891349093375797852134771896010472265174212548056903988795467
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, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17195170
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 993268 x 993515
Polynomial selection time: 3.96 hours.
Total sieving time: 19.84 hours.
Total relation processing time: 1.03 hours.
Matrix solve time: 1.01 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5600000,5600000,28,28,54,54,2.5,2.5,100000
total time: 25.95 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 BogoMIPS).
software ソフトウェア
GMP-ECM v6.4.4 / 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 00:00:39 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 39 秒 (日本時間)
4511e6585 / 4409CypJanuary 30, 2015 02:46:43 UTC 2015 年 1 月 30 日 (金) 11 時 46 分 43 秒 (日本時間)

646×10180-79

c182

name 名前Cyp
date 日付February 11, 2015 18:31:19 UTC 2015 年 2 月 12 日 (木) 3 時 31 分 19 秒 (日本時間)
composite number 合成数
71777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<182>
prime factors 素因数
387092701032044792721919848435691026264777269615980308637697863<63>
185427877059959805061076905692822375456499657442032884378615394276007627924413033261467010252642163328662637652726598279<120>
factorization results 素因数分解の結果
02/11/15 00:26:31 v1.34.3, 
02/11/15 00:26:31 v1.34.3, ****************************
02/11/15 00:26:31 v1.34.3, Starting factorization of 71777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
02/11/15 00:26:31 v1.34.3, using pretesting plan: none
02/11/15 00:26:31 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/11/15 00:26:31 v1.34.3, ****************************
02/11/15 00:26:31 v1.34.3, nfs: commencing nfs on c182: 71777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
02/11/15 00:26:31 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/11/15 00:26:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/11/15 00:36:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
[91 lines snipped]
02/11/15 18:06:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/11/15 18:17:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/11/15 18:29:38 v1.34.3, nfs: commencing msieve filtering
02/11/15 18:33:48 v1.34.3, nfs: commencing msieve linear algebra
02/11/15 19:29:02 v1.34.3, nfs: commencing msieve sqrt
02/11/15 19:31:18 v1.34.3, prp120 = 185427877059959805061076905692822375456499657442032884378615394276007627924413033261467010252642163328662637652726598279
02/11/15 19:31:18 v1.34.3, prp63 = 387092701032044792721919848435691026264777269615980308637697863
02/11/15 19:31:18 v1.34.3, NFS elapsed time = 68686.9632 seconds.
02/11/15 19:31:18 v1.34.3, 
02/11/15 19:31:18 v1.34.3, 
02/11/15 19:31:18 v1.34.3, Total factoring time = 68686.9647 seconds
--
Wed Feb 11 18:29:38 2015  
Wed Feb 11 18:29:38 2015  commencing relation filtering
Wed Feb 11 18:29:38 2015  estimated available RAM is 15987.3 MB
Wed Feb 11 18:29:38 2015  commencing duplicate removal, pass 1
Wed Feb 11 18:30:42 2015  skipped 1 relations with b > 2^32
Wed Feb 11 18:30:42 2015  found 3479365 hash collisions in 21121531 relations
Wed Feb 11 18:31:00 2015  added 705133 free relations
Wed Feb 11 18:31:00 2015  commencing duplicate removal, pass 2
Wed Feb 11 18:31:19 2015  found 2748599 duplicates and 19078065 unique relations
Wed Feb 11 18:31:19 2015  memory use: 90.6 MB
Wed Feb 11 18:31:19 2015  reading ideals above 720000
Wed Feb 11 18:31:19 2015  commencing singleton removal, initial pass
Wed Feb 11 18:32:45 2015  memory use: 376.5 MB
Wed Feb 11 18:32:45 2015  reading all ideals from disk
Wed Feb 11 18:32:45 2015  memory use: 592.2 MB
Wed Feb 11 18:32:46 2015  keeping 20196750 ideals with weight <= 200, target excess is 116351
Wed Feb 11 18:32:47 2015  commencing in-memory singleton removal
Wed Feb 11 18:32:48 2015  begin with 19078065 relations and 20196750 unique ideals
Wed Feb 11 18:32:56 2015  reduce to 8789802 relations and 7741139 ideals in 15 passes
Wed Feb 11 18:32:56 2015  max relations containing the same ideal: 116
Wed Feb 11 18:32:59 2015  removing 1885630 relations and 1485630 ideals in 400000 cliques
Wed Feb 11 18:32:59 2015  commencing in-memory singleton removal
Wed Feb 11 18:32:59 2015  begin with 6904172 relations and 7741139 unique ideals
Wed Feb 11 18:33:02 2015  reduce to 6573214 relations and 5905353 ideals in 10 passes
Wed Feb 11 18:33:02 2015  max relations containing the same ideal: 96
Wed Feb 11 18:33:05 2015  removing 1514435 relations and 1114435 ideals in 400000 cliques
Wed Feb 11 18:33:05 2015  commencing in-memory singleton removal
Wed Feb 11 18:33:05 2015  begin with 5058779 relations and 5905353 unique ideals
Wed Feb 11 18:33:07 2015  reduce to 4792887 relations and 4508542 ideals in 10 passes
Wed Feb 11 18:33:07 2015  max relations containing the same ideal: 74
Wed Feb 11 18:33:09 2015  removing 677390 relations and 528013 ideals in 149377 cliques
Wed Feb 11 18:33:09 2015  commencing in-memory singleton removal
Wed Feb 11 18:33:09 2015  begin with 4115497 relations and 4508542 unique ideals
Wed Feb 11 18:33:11 2015  reduce to 4050936 relations and 3914078 ideals in 8 passes
Wed Feb 11 18:33:11 2015  max relations containing the same ideal: 66
Wed Feb 11 18:33:13 2015  relations with 0 large ideals: 2933
Wed Feb 11 18:33:13 2015  relations with 1 large ideals: 1326
Wed Feb 11 18:33:13 2015  relations with 2 large ideals: 22250
Wed Feb 11 18:33:13 2015  relations with 3 large ideals: 145414
Wed Feb 11 18:33:13 2015  relations with 4 large ideals: 501683
Wed Feb 11 18:33:13 2015  relations with 5 large ideals: 983955
Wed Feb 11 18:33:13 2015  relations with 6 large ideals: 1182773
Wed Feb 11 18:33:13 2015  relations with 7+ large ideals: 1210602
Wed Feb 11 18:33:13 2015  commencing 2-way merge
Wed Feb 11 18:33:14 2015  reduce to 2487234 relation sets and 2350376 unique ideals
Wed Feb 11 18:33:14 2015  commencing full merge
Wed Feb 11 18:33:38 2015  memory use: 297.0 MB
Wed Feb 11 18:33:38 2015  found 1306402 cycles, need 1286576
Wed Feb 11 18:33:38 2015  weight of 1286576 cycles is about 90408112 (70.27/cycle)
Wed Feb 11 18:33:38 2015  distribution of cycle lengths:
Wed Feb 11 18:33:38 2015  1 relations: 141879
Wed Feb 11 18:33:38 2015  2 relations: 142193
Wed Feb 11 18:33:38 2015  3 relations: 144110
Wed Feb 11 18:33:38 2015  4 relations: 136533
Wed Feb 11 18:33:38 2015  5 relations: 128217
Wed Feb 11 18:33:38 2015  6 relations: 116523
Wed Feb 11 18:33:38 2015  7 relations: 102427
Wed Feb 11 18:33:38 2015  8 relations: 88131
Wed Feb 11 18:33:38 2015  9 relations: 73096
Wed Feb 11 18:33:38 2015  10+ relations: 213467
Wed Feb 11 18:33:38 2015  heaviest cycle: 21 relations
Wed Feb 11 18:33:39 2015  commencing cycle optimization
Wed Feb 11 18:33:40 2015  start with 7395338 relations
Wed Feb 11 18:33:46 2015  pruned 194247 relations
Wed Feb 11 18:33:46 2015  memory use: 240.5 MB
Wed Feb 11 18:33:46 2015  distribution of cycle lengths:
Wed Feb 11 18:33:46 2015  1 relations: 141879
Wed Feb 11 18:33:46 2015  2 relations: 145150
Wed Feb 11 18:33:46 2015  3 relations: 148946
Wed Feb 11 18:33:46 2015  4 relations: 140273
Wed Feb 11 18:33:46 2015  5 relations: 132424
Wed Feb 11 18:33:46 2015  6 relations: 119131
Wed Feb 11 18:33:46 2015  7 relations: 104225
Wed Feb 11 18:33:46 2015  8 relations: 88325
Wed Feb 11 18:33:46 2015  9 relations: 73198
Wed Feb 11 18:33:46 2015  10+ relations: 193025
Wed Feb 11 18:33:46 2015  heaviest cycle: 19 relations
Wed Feb 11 18:33:47 2015  RelProcTime: 249
Wed Feb 11 18:33:48 2015  
Wed Feb 11 18:33:48 2015  commencing linear algebra
Wed Feb 11 18:33:48 2015  read 1286576 cycles
Wed Feb 11 18:33:49 2015  cycles contain 3945859 unique relations
Wed Feb 11 18:34:12 2015  read 3945859 relations
Wed Feb 11 18:34:15 2015  using 20 quadratic characters above 268435008
Wed Feb 11 18:34:29 2015  building initial matrix
Wed Feb 11 18:34:52 2015  memory use: 508.8 MB
Wed Feb 11 18:34:53 2015  read 1286576 cycles
Wed Feb 11 18:34:53 2015  matrix is 1286582 x 1286576 (385.6 MB) with weight 115320592 (89.63/col)
Wed Feb 11 18:34:53 2015  sparse part has weight 86927022 (67.56/col)
Wed Feb 11 18:34:59 2015  filtering completed in 2 passes
Wed Feb 11 18:35:00 2015  matrix is 1285926 x 1286018 (385.5 MB) with weight 115299593 (89.66/col)
Wed Feb 11 18:35:00 2015  sparse part has weight 86918332 (67.59/col)
Wed Feb 11 18:35:03 2015  matrix starts at (0, 0)
Wed Feb 11 18:35:03 2015  matrix is 1285926 x 1286018 (385.5 MB) with weight 115299593 (89.66/col)
Wed Feb 11 18:35:03 2015  sparse part has weight 86918332 (67.59/col)
Wed Feb 11 18:35:03 2015  saving the first 48 matrix rows for later
Wed Feb 11 18:35:03 2015  matrix includes 64 packed rows
Wed Feb 11 18:35:03 2015  matrix is 1285878 x 1286018 (367.7 MB) with weight 91457960 (71.12/col)
Wed Feb 11 18:35:03 2015  sparse part has weight 83522738 (64.95/col)
Wed Feb 11 18:35:03 2015  using block size 65536 for processor cache size 8192 kB
Wed Feb 11 18:35:06 2015  commencing Lanczos iteration (8 threads)
Wed Feb 11 18:35:06 2015  memory use: 359.3 MB
Wed Feb 11 18:35:10 2015  linear algebra at 0.1%, ETA 0h56m
Wed Feb 11 18:35:11 2015  checkpointing every 1460000 dimensions
Wed Feb 11 19:29:01 2015  lanczos halted after 20337 iterations (dim = 1285828)
Wed Feb 11 19:29:02 2015  recovered 28 nontrivial dependencies
Wed Feb 11 19:29:02 2015  BLanczosTime: 3314
Wed Feb 11 19:29:02 2015  
Wed Feb 11 19:29:02 2015  commencing square root phase
Wed Feb 11 19:29:02 2015  reading relations for dependency 1
Wed Feb 11 19:29:02 2015  read 644171 cycles
Wed Feb 11 19:29:03 2015  cycles contain 1974842 unique relations
Wed Feb 11 19:29:21 2015  read 1974842 relations
Wed Feb 11 19:29:26 2015  multiplying 1974842 relations
Wed Feb 11 19:30:16 2015  multiply complete, coefficients have about 61.22 million bits
Wed Feb 11 19:30:16 2015  initial square root is modulo 615012701
Wed Feb 11 19:31:17 2015  sqrtTime: 135
--
n: 71777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 1000000000000000000000000000000000000
deg: 5
c5: 646
c0: -7
skew: 0.40
# Murphy_E = 6.804e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
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)
403e62681281CypJanuary 8, 2015 21:15:58 UTC 2015 年 1 月 9 日 (金) 6 時 15 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2015 00:00:40 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 40 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:46 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 46 秒 (日本時間)
4511e6374KTakahashiFebruary 4, 2015 21:17:53 UTC 2015 年 2 月 5 日 (木) 6 時 17 分 53 秒 (日本時間)
5043e61000 / 7367Serge BatalovJanuary 11, 2015 21:22:40 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 40 秒 (日本時間)

646×10181-79

c132

name 名前Jo Yeong Uk
date 日付February 18, 2016 09:23:43 UTC 2016 年 2 月 18 日 (木) 18 時 23 分 43 秒 (日本時間)
composite number 合成数
845131475995834788782495196989031778840774130016548348477212845387410611593306610615291656791247445591049796876627803145798349326353<132>
prime factors 素因数
262944444045011926402150519752507259208571209992541<51>
3214106611247361661493648224541098685863182047238797323668073856756173425831422533<82>
factorization results 素因数分解の結果
Number: 71777_181
N=845131475995834788782495196989031778840774130016548348477212845387410611593306610615291656791247445591049796876627803145798349326353
  ( 132 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=262944444045011926402150519752507259208571209992541
 r2=3214106611247361661493648224541098685863182047238797323668073856756173425831422533
Version: 
Total time: 91.76 hours.
Scaled time: 476.51 units (timescale=5.193).
Factorization parameters were as follows:
n: 845131475995834788782495196989031778840774130016548348477212845387410611593306610615291656791247445591049796876627803145798349326353
m: 1000000000000000000000000000000000000
deg: 5
c5: 6460
c0: -7
skew: 0.26
# Murphy_E = 4.651e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19115456
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1607724 x 1607970
Total sieving time: 86.22 hours.
Total relation processing time: 2.17 hours.
Matrix solve time: 3.22 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 91.76 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365468k/51380224k available (5396k kernel code, 1086460k absent, 928296k reserved, 7012k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400121)
Total of 12 processors activated (81602.90 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 00:00:41 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 41 秒 (日本時間)
4511e64409600KTakahashiMay 21, 2015 08:59:37 UTC 2015 年 5 月 21 日 (木) 17 時 59 分 37 秒 (日本時間)
3809KTakahashiJuly 13, 2015 12:12:25 UTC 2015 年 7 月 13 日 (月) 21 時 12 分 25 秒 (日本時間)

646×10183-79

c167

name 名前Serge Batalov
date 日付January 9, 2015 03:46:24 UTC 2015 年 1 月 9 日 (金) 12 時 46 分 24 秒 (日本時間)
composite number 合成数
21804532138098531301253993987057279569723136589115954136686883713188158172042031215294195136733340601381020068547453532721368831959587190780547611668213944413403386959<167>
prime factors 素因数
3081772654146191795333023254426851<34>
7075321441626426138423510217129636657225001722101548480070331608628825241233645430713791231958915640135121966194618140705087153990309<133>
factorization results 素因数分解の結果
Input number is 21804532138098531301253993987057279569723136589115954136686883713188158172042031215294195136733340601381020068547453532721368831959587190780547611668213944413403386959 (167 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2327895822
Step 1 took 11604ms
Step 2 took 10108ms
********** Factor found in step 2: 3081772654146191795333023254426851
Found probable prime factor of 34 digits: 3081772654146191795333023254426851
Probable prime cofactor 7075321441626426138423510217129636657225001722101548480070331608628825241233645430713791231958915640135121966194618140705087153990309 has 133 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 00:00:41 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 41 秒 (日本時間)

646×10184-79

c154

name 名前Jo Yeong Uk
date 日付July 10, 2016 23:58:56 UTC 2016 年 7 月 11 日 (月) 8 時 58 分 56 秒 (日本時間)
composite number 合成数
1385159038718343136496170386355622033792798207478845728248211137943465778830379204212027605150644229287944791161801927169616844597811835409880777189354211<154>
prime factors 素因数
5319060612097830117685304281759939024972132862393118383843887287394847633<73>
260414223437855944171052776631730235600440327001576056111960811260145170919951667<81>
factorization results 素因数分解の結果
Number: 71777_184
N=1385159038718343136496170386355622033792798207478845728248211137943465778830379204212027605150644229287944791161801927169616844597811835409880777189354211
  ( 154 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=5319060612097830117685304281759939024972132862393118383843887287394847633
 r2=260414223437855944171052776631730235600440327001576056111960811260145170919951667
Version: 
Total time: 113.47 hours.
Scaled time: 591.38 units (timescale=5.212).
Factorization parameters were as follows:
n: 1385159038718343136496170386355622033792798207478845728248211137943465778830379204212027605150644229287944791161801927169616844597811835409880777189354211
m: 10000000000000000000000000000000000000
deg: 5
c5: 323
c0: -35
skew: 0.64
# Murphy_E = 3.509e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3900000, 9100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21214547
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1885251 x 1885496
Total sieving time: 105.44 hours.
Total relation processing time: 2.90 hours.
Matrix solve time: 4.99 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,54,54,2.5,2.5,100000
total time: 113.47 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.81 BogoMIPS (lpj=3399905)
Total of 12 processors activated (81597.72 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 00:00:42 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 42 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 31, 2015 22:54:28 UTC 2015 年 6 月 1 日 (月) 7 時 54 分 28 秒 (日本時間)

646×10187-79

c173

name 名前Jo Yeong Uk
date 日付March 8, 2017 12:18:18 UTC 2017 年 3 月 8 日 (水) 21 時 18 分 18 秒 (日本時間)
composite number 合成数
14111458228163791145346140561091276150684421148160956508139055676399092144946890853317518304850114600937642556139863135139872428772944276957462574529853583158344759532662599<173>
prime factors 素因数
84528711853387944292105739657547784087609<41>
166942780964645663217553344983353553622546685911175220580130031061438335218054148552404297554463412824452413760053637272666035082111<132>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 14111458228163791145346140561091276150684421148160956508139055676399092144946890853317518304850114600937642556139863135139872428772944276957462574529853583158344759532662599 (173 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=326203339
Step 1 took 29663ms
Step 2 took 10062ms
********** Factor found in step 2: 84528711853387944292105739657547784087609
Found probable prime factor of 41 digits: 84528711853387944292105739657547784087609
Probable prime cofactor 166942780964645663217553344983353553622546685911175220580130031061438335218054148552404297554463412824452413760053637272666035082111 has 132 digits
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 00:00:42 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 42 秒 (日本時間)
1CypJanuary 9, 2015 01:05:45 UTC 2015 年 1 月 9 日 (金) 10 時 5 分 45 秒 (日本時間)
4511e6585 / 4409CypFebruary 8, 2015 01:48:19 UTC 2015 年 2 月 8 日 (日) 10 時 48 分 19 秒 (日本時間)

646×10189-79

c167

name 名前Eric Jeancolas
date 日付September 26, 2020 02:11:53 UTC 2020 年 9 月 26 日 (土) 11 時 11 分 53 秒 (日本時間)
composite number 合成数
14304459346468095723268781787606823234316763557112613123311542180961043743632886732158011079776237584861835211785414497709462351228549391434686342529636390058583820687<167>
prime factors 素因数
9393970112454377092236013872763236139294461023108803239389019656965867611667440197<82>
1522727789766274604247730620247085923842053912041984157915809282750431275305299551171<85>
factorization results 素因数分解の結果
14304459346468095723268781787606823234316763557112613123311542180961043743632886732158011079776237584861835211785414497709462351228549391434686342529636390058583820687=9393970112454377092236013872763236139294461023108803239389019656965867611667440197*1522727789766274604247730620247085923842053912041984157915809282750431275305299551171 

cado polynomial
n: 14304459346468095723268781787606823234316763557112613123311542180961043743632886732158011079776237584861835211785414497709462351228549391434686342529636390058583820687
skew: 0.64
type: snfs
c0: -35
c5: 323
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 323*x^5-35
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11300000
tasks.lim1 = 11300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.sqrt.threads = 2
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
nfo:Square Root: Factors: 1522727789766274604247730620247085923842053912041984157915809282750431275305299551171 9393970112454377092236013872763236139294461023108803239389019656965867611667440197
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: 4.95/2.09173
Info:Generate Free Relations: Total cpu/real time for freerel: 102.36/26.4537
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29906783
Info:Lattice Sieving: Average J: 1894.04 for 3788533 special-q, max bucket fill -bkmult 1.0,1s:1.081890
Info:Lattice Sieving: Total time: 865187s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 61.05/128.672
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 128.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 537.85/500.892
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 431.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 467.87/485.665
Info:Filtering - Merging: Merged matrix has 2571914 rows and total weight 440529680 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 362.02/105.037
Info:Filtering - Merging: Total cpu/real time for replay: 101.06/88.8715
Info:Linear Algebra: Total cpu/real time for bwc: 117656/30246.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 19322.34, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80896 iterations)
Info:Linear Algebra: Lingen CPU time 524.77, WCT time 152.26
Info:Linear Algebra: Mksol: WCT time 10508.49, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 91.74/38.8472
Info:Square Root: Total cpu/real time for sqrt: 717.79/225.418
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.71262e+06/464615
Info:root: Cleaning up computation data in /tmp/cado.kx_kx3kv
1522727789766274604247730620247085923842053912041984157915809282750431275305299551171 9393970112454377092236013872763236139294461023108803239389019656965867611667440197
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

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 00:00:43 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 43 秒 (日本時間)
4511e64585585CypJuly 23, 2015 18:00:15 UTC 2015 年 7 月 24 日 (金) 3 時 0 分 15 秒 (日本時間)
4000Robert BalfourApril 27, 2020 11:50:09 UTC 2020 年 4 月 27 日 (月) 20 時 50 分 9 秒 (日本時間)

646×10190-79

c160

name 名前Edwin Hall
date 日付December 14, 2020 12:47:57 UTC 2020 年 12 月 14 日 (月) 21 時 47 分 57 秒 (日本時間)
composite number 合成数
1219492167437795728001179811679399868537221127113522383443692117787828079037293515453868119434419144054044817274718185744628511548121018604305530191995094824773<160>
prime factors 素因数
7537135949124042884035191419853515145658382150405421774277990871640680685163<76>
161797820242253117378090596693614487361700678895519146613566801359198423054377651471<84>
factorization results 素因数分解の結果
Factors: 7537135949124042884035191419853515145658382150405421774277990871640680685163
161797820242253117378090596693614487361700678895519146613566801359198423054377651471

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 192.28/145.528
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 145.4s
Info:Square Root: Total cpu/real time for sqrt: 4409/283.763
Info:Filtering - Singleton removal: Total cpu/real time for purge: 359.7/128.562
Info:Quadratic Characters: Total cpu/real time for characters: 147.25/27.6837
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 55015786
Info:Lattice Sieving: Average J: 3794.63 for 647125 special-q, max bucket fill -bkmult 1.0,1s:1.201840
Info:Lattice Sieving: Total time: 250867s
Info:Linear Algebra: Total cpu/real time for bwc: 101682/9294.92
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 63332.39, WCT time 5811.2, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (71000 iterations)
Info:Linear Algebra: Lingen CPU time 2416.34, WCT time 104.91
Info:Linear Algebra: Mksol: CPU time 34497.73,  WCT time 3188.96, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (36000 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 901.02/41.1793
Info:Generate Factor Base: Total cpu/real time for makefb: 60.66/7.30852
Info:Filtering - Merging: Total cpu/real time for merge: 500.33/41.4214
Info:Filtering - Merging: Total cpu/real time for replay: 105.95/88.2583
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1030.12/249.102
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 216.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.77119e+06/23799.7
Info:root: Cleaning up computation data in /tmp/cado.i_n_vowf
7537135949124042884035191419853515145658382150405421774277990871640680685163 161797820242253117378090596693614487361700678895519146613566801359198423054377651471
software ソフトウェア
CADO-NFS

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 00:00:43 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 43 秒 (日本時間)
4511e6585CypMay 29, 2015 14:13:29 UTC 2015 年 5 月 29 日 (金) 23 時 13 分 29 秒 (日本時間)
5043e61120 / 74101000Robert BalfourJuly 9, 2020 01:57:46 UTC 2020 年 7 月 9 日 (木) 10 時 57 分 46 秒 (日本時間)
120Robert BalfourJuly 9, 2020 01:58:06 UTC 2020 年 7 月 9 日 (木) 10 時 58 分 6 秒 (日本時間)

646×10192-79

c140

name 名前Serge Batalov
date 日付January 8, 2015 23:40:09 UTC 2015 年 1 月 9 日 (金) 8 時 40 分 9 秒 (日本時間)
composite number 合成数
40482065960596224240866202304259220148183184680372385888124182879226486456407821089631100414383829656556009657066432846649873917744868170887<140>
prime factors 素因数
285037945529842968286767082825669<33>
142023427390855311933417439580238038203310707938003980369446947508830769890630976175746312613468416090434523<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1221064207
Step 1 took 9922ms
Step 2 took 8610ms
********** Factor found in step 2: 285037945529842968286767082825669
Found probable prime factor of 33 digits: 285037945529842968286767082825669
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)

646×10193-79

c145

name 名前Cyp
date 日付January 9, 2015 01:07:32 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 32 秒 (日本時間)
composite number 合成数
6350351217464571888888286561448704501271737777342386267690911906552095807383244719710598785175043557521588770892113340079949366803826335639608077<145>
prime factors 素因数
396391532804751555079906875274223<33>
composite cofactor 合成数の残り
16020400770246851428775716061705107307120581563694731500375781549993393487491555912841043805981528693785361020099<113>
factorization results 素因数分解の結果
Run 223 out of 281:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3719021379
Step 1 took 11260ms
Step 2 took 4386ms
********** Factor found in step 2: 396391532804751555079906875274223
Found probable prime factor of 33 digits: 396391532804751555079906875274223
Composite cofactor 16020400770246851428775716061705107307120581563694731500375781549993393487491555912841043805981528693785361020099 has 113 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

c113

name 名前Cyp
date 日付January 10, 2015 21:44:36 UTC 2015 年 1 月 11 日 (日) 6 時 44 分 36 秒 (日本時間)
composite number 合成数
16020400770246851428775716061705107307120581563694731500375781549993393487491555912841043805981528693785361020099<113>
prime factors 素因数
591362400249263689117142780831288538890324932937112619<54>
27090665154724298148938630315980689687404328980727943742921<59>
factorization results 素因数分解の結果
01/10/15 20:23:13 v1.34.3, 
01/10/15 20:23:13 v1.34.3, ****************************
01/10/15 20:23:13 v1.34.3, Starting factorization of 16020400770246851428775716061705107307120581563694731500375781549993393487491555912841043805981528693785361020099
01/10/15 20:23:13 v1.34.3, using pretesting plan: none
01/10/15 20:23:13 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/10/15 20:23:13 v1.34.3, ****************************
01/10/15 20:23:13 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C113
01/10/15 20:23:13 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C113
01/10/15 20:23:13 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C113
01/10/15 20:23:13 v1.34.3, final ECM pretested depth: 0.00
01/10/15 20:23:13 v1.34.3, scheduler: switching to sieve method
01/10/15 20:23:13 v1.34.3, nfs: commencing nfs on c113: 16020400770246851428775716061705107307120581563694731500375781549993393487491555912841043805981528693785361020099
01/10/15 20:23:13 v1.34.3, nfs: commencing poly selection with 8 threads
01/10/15 20:23:13 v1.34.3, nfs: setting deadline of 650 seconds
01/10/15 20:34:02 v1.34.3, nfs: completed 137 ranges of size 250 in 649.1132 seconds
01/10/15 20:34:02 v1.34.3, nfs: best poly = # norm 1.117812e-10 alpha -6.714181 e 7.246e-10 rroots 5
01/10/15 20:34:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 20:39:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
[17 lines snipped]
01/10/15 22:24:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 22:29:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 22:35:55 v1.34.3, nfs: commencing msieve filtering
01/10/15 22:37:51 v1.34.3, nfs: commencing msieve linear algebra
01/10/15 22:42:48 v1.34.3, nfs: commencing msieve sqrt
01/10/15 22:44:35 v1.34.3, prp54 = 591362400249263689117142780831288538890324932937112619
01/10/15 22:44:35 v1.34.3, prp59 = 27090665154724298148938630315980689687404328980727943742921
01/10/15 22:44:35 v1.34.3, NFS elapsed time = 8482.0966 seconds.
01/10/15 22:44:35 v1.34.3, 
01/10/15 22:44:35 v1.34.3, 
01/10/15 22:44:35 v1.34.3, Total factoring time = 8482.1265 seconds
--
Sat Jan 10 22:35:55 2015  
Sat Jan 10 22:35:55 2015  commencing relation filtering
Sat Jan 10 22:35:55 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 22:35:55 2015  commencing duplicate removal, pass 1
Sat Jan 10 22:36:29 2015  found 1042557 hash collisions in 10369506 relations
Sat Jan 10 22:36:39 2015  added 62620 free relations
Sat Jan 10 22:36:39 2015  commencing duplicate removal, pass 2
Sat Jan 10 22:36:48 2015  found 435189 duplicates and 9996937 unique relations
Sat Jan 10 22:36:48 2015  memory use: 41.3 MB
Sat Jan 10 22:36:48 2015  reading ideals above 100000
Sat Jan 10 22:36:48 2015  commencing singleton removal, initial pass
Sat Jan 10 22:37:33 2015  memory use: 344.5 MB
Sat Jan 10 22:37:33 2015  reading all ideals from disk
Sat Jan 10 22:37:33 2015  memory use: 341.4 MB
Sat Jan 10 22:37:33 2015  keeping 10558895 ideals with weight <= 200, target excess is 80782
Sat Jan 10 22:37:34 2015  commencing in-memory singleton removal
Sat Jan 10 22:37:34 2015  begin with 9996937 relations and 10558895 unique ideals
Sat Jan 10 22:37:37 2015  reduce to 4009173 relations and 3498925 ideals in 17 passes
Sat Jan 10 22:37:37 2015  max relations containing the same ideal: 112
Sat Jan 10 22:37:38 2015  removing 1065756 relations and 857486 ideals in 208270 cliques
Sat Jan 10 22:37:38 2015  commencing in-memory singleton removal
Sat Jan 10 22:37:38 2015  begin with 2943417 relations and 3498925 unique ideals
Sat Jan 10 22:37:40 2015  reduce to 2717912 relations and 2400166 ideals in 10 passes
Sat Jan 10 22:37:40 2015  max relations containing the same ideal: 87
Sat Jan 10 22:37:40 2015  removing 815578 relations and 607308 ideals in 208270 cliques
Sat Jan 10 22:37:40 2015  commencing in-memory singleton removal
Sat Jan 10 22:37:40 2015  begin with 1902334 relations and 2400166 unique ideals
Sat Jan 10 22:37:41 2015  reduce to 1710071 relations and 1584581 ideals in 10 passes
Sat Jan 10 22:37:41 2015  max relations containing the same ideal: 63
Sat Jan 10 22:37:41 2015  removing 193577 relations and 161795 ideals in 31782 cliques
Sat Jan 10 22:37:41 2015  commencing in-memory singleton removal
Sat Jan 10 22:37:41 2015  begin with 1516494 relations and 1584581 unique ideals
Sat Jan 10 22:37:42 2015  reduce to 1500724 relations and 1406695 ideals in 8 passes
Sat Jan 10 22:37:42 2015  max relations containing the same ideal: 57
Sat Jan 10 22:37:42 2015  relations with 0 large ideals: 617
Sat Jan 10 22:37:42 2015  relations with 1 large ideals: 8065
Sat Jan 10 22:37:42 2015  relations with 2 large ideals: 52656
Sat Jan 10 22:37:42 2015  relations with 3 large ideals: 181930
Sat Jan 10 22:37:42 2015  relations with 4 large ideals: 356717
Sat Jan 10 22:37:42 2015  relations with 5 large ideals: 419898
Sat Jan 10 22:37:42 2015  relations with 6 large ideals: 304525
Sat Jan 10 22:37:42 2015  relations with 7+ large ideals: 176316
Sat Jan 10 22:37:42 2015  commencing 2-way merge
Sat Jan 10 22:37:43 2015  reduce to 851890 relation sets and 757861 unique ideals
Sat Jan 10 22:37:43 2015  commencing full merge
Sat Jan 10 22:37:49 2015  memory use: 83.6 MB
Sat Jan 10 22:37:49 2015  found 422690 cycles, need 410061
Sat Jan 10 22:37:49 2015  weight of 410061 cycles is about 29003744 (70.73/cycle)
Sat Jan 10 22:37:49 2015  distribution of cycle lengths:
Sat Jan 10 22:37:49 2015  1 relations: 41012
Sat Jan 10 22:37:49 2015  2 relations: 39497
Sat Jan 10 22:37:49 2015  3 relations: 41964
Sat Jan 10 22:37:49 2015  4 relations: 40586
Sat Jan 10 22:37:49 2015  5 relations: 38548
Sat Jan 10 22:37:49 2015  6 relations: 35625
Sat Jan 10 22:37:49 2015  7 relations: 32472
Sat Jan 10 22:37:49 2015  8 relations: 28398
Sat Jan 10 22:37:49 2015  9 relations: 24979
Sat Jan 10 22:37:49 2015  10+ relations: 86980
Sat Jan 10 22:37:49 2015  heaviest cycle: 19 relations
Sat Jan 10 22:37:49 2015  commencing cycle optimization
Sat Jan 10 22:37:49 2015  start with 2560050 relations
Sat Jan 10 22:37:51 2015  pruned 60940 relations
Sat Jan 10 22:37:51 2015  memory use: 85.3 MB
Sat Jan 10 22:37:51 2015  distribution of cycle lengths:
Sat Jan 10 22:37:51 2015  1 relations: 41012
Sat Jan 10 22:37:51 2015  2 relations: 40334
Sat Jan 10 22:37:51 2015  3 relations: 43432
Sat Jan 10 22:37:51 2015  4 relations: 41672
Sat Jan 10 22:37:51 2015  5 relations: 39595
Sat Jan 10 22:37:51 2015  6 relations: 36343
Sat Jan 10 22:37:51 2015  7 relations: 33074
Sat Jan 10 22:37:51 2015  8 relations: 28770
Sat Jan 10 22:37:51 2015  9 relations: 24961
Sat Jan 10 22:37:51 2015  10+ relations: 80868
Sat Jan 10 22:37:51 2015  heaviest cycle: 18 relations
Sat Jan 10 22:37:51 2015  RelProcTime: 116
Sat Jan 10 22:37:51 2015  
Sat Jan 10 22:37:51 2015  commencing linear algebra
Sat Jan 10 22:37:52 2015  read 410061 cycles
Sat Jan 10 22:37:52 2015  cycles contain 1424628 unique relations
Sat Jan 10 22:38:02 2015  read 1424628 relations
Sat Jan 10 22:38:03 2015  using 20 quadratic characters above 134215050
Sat Jan 10 22:38:07 2015  building initial matrix
Sat Jan 10 22:38:15 2015  memory use: 180.1 MB
Sat Jan 10 22:38:15 2015  read 410061 cycles
Sat Jan 10 22:38:15 2015  matrix is 409891 x 410061 (124.8 MB) with weight 39761426 (96.96/col)
Sat Jan 10 22:38:15 2015  sparse part has weight 27797761 (67.79/col)
Sat Jan 10 22:38:17 2015  filtering completed in 2 passes
Sat Jan 10 22:38:17 2015  matrix is 409219 x 409393 (124.7 MB) with weight 39731752 (97.05/col)
Sat Jan 10 22:38:17 2015  sparse part has weight 27787913 (67.88/col)
Sat Jan 10 22:38:18 2015  matrix starts at (0, 0)
Sat Jan 10 22:38:18 2015  matrix is 409219 x 409393 (124.7 MB) with weight 39731752 (97.05/col)
Sat Jan 10 22:38:18 2015  sparse part has weight 27787913 (67.88/col)
Sat Jan 10 22:38:18 2015  saving the first 48 matrix rows for later
Sat Jan 10 22:38:18 2015  matrix includes 64 packed rows
Sat Jan 10 22:38:18 2015  matrix is 409171 x 409393 (119.9 MB) with weight 31658085 (77.33/col)
Sat Jan 10 22:38:18 2015  sparse part has weight 27340237 (66.78/col)
Sat Jan 10 22:38:18 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 10 22:38:19 2015  commencing Lanczos iteration (8 threads)
Sat Jan 10 22:38:19 2015  memory use: 113.7 MB
Sat Jan 10 22:38:27 2015  linear algebra at 3.0%, ETA 0h 4m
Sat Jan 10 22:42:47 2015  lanczos halted after 6471 iterations (dim = 409166)
Sat Jan 10 22:42:48 2015  recovered 29 nontrivial dependencies
Sat Jan 10 22:42:48 2015  BLanczosTime: 297
Sat Jan 10 22:42:48 2015  
Sat Jan 10 22:42:48 2015  commencing square root phase
Sat Jan 10 22:42:48 2015  reading relations for dependency 1
Sat Jan 10 22:42:48 2015  read 204758 cycles
Sat Jan 10 22:42:48 2015  cycles contain 712764 unique relations
Sat Jan 10 22:42:56 2015  read 712764 relations
Sat Jan 10 22:42:58 2015  multiplying 712764 relations
Sat Jan 10 22:43:17 2015  multiply complete, coefficients have about 28.59 million bits
Sat Jan 10 22:43:17 2015  initial square root is modulo 162676831
Sat Jan 10 22:43:41 2015  GCD is 1, no factor found
Sat Jan 10 22:43:41 2015  reading relations for dependency 2
Sat Jan 10 22:43:41 2015  read 204190 cycles
Sat Jan 10 22:43:41 2015  cycles contain 711334 unique relations
Sat Jan 10 22:43:50 2015  read 711334 relations
Sat Jan 10 22:43:51 2015  multiplying 711334 relations
Sat Jan 10 22:44:10 2015  multiply complete, coefficients have about 28.53 million bits
Sat Jan 10 22:44:10 2015  initial square root is modulo 156483889
Sat Jan 10 22:44:35 2015  sqrtTime: 107
--
n: 16020400770246851428775716061705107307120581563694731500375781549993393487491555912841043805981528693785361020099
skew: 236461.43
c0: -238589155580757411572786163905
c1: 2434796923783170177143399
c2: 14573422784348465598
c3: -108143113646291
c4: -332085985
c5: 600
Y0: -7679000370672118223814
Y1: 42068292119
rlim: 3980000
alim: 3980000
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)
403e6581 / 2318300Serge BatalovJanuary 9, 2015 00:00:44 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 44 秒 (日本時間)
281CypJanuary 9, 2015 01:07:32 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 32 秒 (日本時間)

646×10194-79

c189

name 名前Bob Backstrom
date 日付February 26, 2021 04:54:08 UTC 2021 年 2 月 26 日 (金) 13 時 54 分 8 秒 (日本時間)
composite number 合成数
113418942548110449985774437909459171586884859219202825621917101740237926711140832492334507905871779594001304433716241477222664564876715777753517360624065855209613208380983554356917483897113<189>
prime factors 素因数
95442933848866350316348045743257435224353300906211<50>
455265125010603605495145460067541870738590346320037298128964733<63>
2610221905676936668089176582220650045465239018829299078743039347613605707151<76>
factorization results 素因数分解の結果
Number: n
N=113418942548110449985774437909459171586884859219202825621917101740237926711140832492334507905871779594001304433716241477222664564876715777753517360624065855209613208380983554356917483897113  ( 189 digits)
SNFS difficulty: 197 digits.
Divisors found:

Fri Feb 26 15:43:34 2021  found factor: 95442933848866350316348045743257435224353300906211
Fri Feb 26 15:46:35 2021  p50 factor: 95442933848866350316348045743257435224353300906211
Fri Feb 26 15:46:35 2021  p63 factor: 455265125010603605495145460067541870738590346320037298128964733
Fri Feb 26 15:46:35 2021  p76 factor: 2610221905676936668089176582220650045465239018829299078743039347613605707151
Fri Feb 26 15:46:35 2021  elapsed time 01:37:33 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 646x10^194-7 = 717(194)
#
n: 113418942548110449985774437909459171586884859219202825621917101740237926711140832492334507905871779594001304433716241477222664564876715777753517360624065855209613208380983554356917483897113
m: 1000000000000000000000000000000000000000
deg: 5
c5: 323
c0: -35
skew: 0.64
# Murphy_E = 1.356e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3962940 hash collisions in 27454511 relations (24826706 unique)
Msieve: matrix is 2069917 x 2070142 (721.6 MB)

Sieving start time: 2021/02/26 06:42:28
Sieving end time  : 2021/02/26 14:06:46

Total sieving time: 7hrs 24min 18secs.

Total relation processing time: 1hrs 23min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 4sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 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)
403e6301300Serge BatalovJanuary 9, 2015 00:00:45 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 45 秒 (日本時間)
1CypJanuary 9, 2015 00:12:00 UTC 2015 年 1 月 9 日 (金) 9 時 12 分 0 秒 (日本時間)
4511e6585 / 4409CypJune 1, 2015 19:36:19 UTC 2015 年 6 月 2 日 (火) 4 時 36 分 19 秒 (日本時間)

646×10195-79

c174

name 名前Cyp
date 日付May 16, 2015 06:50:35 UTC 2015 年 5 月 16 日 (土) 15 時 50 分 35 秒 (日本時間)
composite number 合成数
432100830002660745570166968092151461422782078395301457716791032737262061692434740854040985805543270581422736812554749901451677056936876172218176519072673251398436435076184591<174>
prime factors 素因数
895209307366119751750053543106322921<36>
4283920648357970022297533343975672174733553<43>
composite cofactor 合成数の残り
112672801807178786579289225551125358542179606450836724956531536921843984431928840097835657712807<96>
factorization results 素因数分解の結果
Run 134 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2398492135
Step 1 took 61590ms
Step 2 took 19337ms
********** Factor found in step 2: 895209307366119751750053543106322921
Found probable prime factor of 36 digits: 895209307366119751750053543106322921
Composite cofactor 482681342170118403829843747988914635252297886856021272406108198633583673840668938222967721221418184498347068519197585919462913554620713271 has 138 digits
--
Run 453 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3158151930
Step 1 took 41987ms
Step 2 took 15062ms
********** Factor found in step 2: 4283920648357970022297533343975672174733553
Found probable prime factor of 43 digits: 4283920648357970022297533343975672174733553
Composite cofactor 112672801807178786579289225551125358542179606450836724956531536921843984431928840097835657712807 has 96 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

c96

name 名前KTakahashi
date 日付May 16, 2015 23:01:22 UTC 2015 年 5 月 17 日 (日) 8 時 1 分 22 秒 (日本時間)
composite number 合成数
112672801807178786579289225551125358542179606450836724956531536921843984431928840097835657712807<96>
prime factors 素因数
1701643928802590715243503337679296082288119019<46>
66214088564617717061554382219819963837321276979253<50>
factorization results 素因数分解の結果
Msieve v. 1.51 (SVN Official Release)
Sat May 16 19:22:50 2015
random seeds: 950a88a3 132c3bb7
factoring 112672801807178786579289225551125358542179606450836724956531536921843984431928840097835657712807 (96 digits)
searching for 15-digit factors
commencing quadratic sieve (96-digit input)
using multiplier of 3
using VC8 64kb sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 2192831 (81176 primes)
using large prime bound of 328924650 (28 bits)
using double large prime bound of 2141773451920650 (43-51 bits)
using trial factoring cutoff of 51 bits
polynomial 'A' values have 12 factors
81530 relations (19648 full + 61882 combined from 1218119 partial), need 81272
begin with 1237767 relations
reduce to 214402 relations in 11 passes
attempting to read 214402 relations
recovered 214402 relations
recovered 200184 polynomials
attempting to build 81530 cycles
found 81530 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 19648
   length 2 : 14013
   length 3 : 13667
   length 4 : 11096
   length 5 : 8388
   length 6 : 5725
   length 7 : 3747
   length 9+: 5246
largest cycle: 22 relations
matrix is 81176 x 81530 (23.9 MB) with weight 5602201 (68.71/col)
sparse part has weight 5602201 (68.71/col)
filtering completed in 3 passes
matrix is 77595 x 77659 (22.8 MB) with weight 5352009 (68.92/col)
sparse part has weight 5352009 (68.92/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 77547 x 77659 (16.8 MB) with weight 4467299 (57.52/col)
sparse part has weight 3628934 (46.73/col)
using block size 31018 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 10.3 MB
linear algebra at 62.1%, ETA 0h 0m
lanczos halted after 1228 iterations (dim = 77546)
recovered 17 nontrivial dependencies
prp46 factor: 1701643928802590715243503337679296082288119019
prp50 factor: 66214088564617717061554382219819963837321276979253
elapsed time 04:12:34

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 00:00:45 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 45 秒 (日本時間)
1CypJanuary 9, 2015 00:24:05 UTC 2015 年 1 月 9 日 (金) 9 時 24 分 5 秒 (日本時間)
4511e6585 / 4409CypMay 16, 2015 06:50:35 UTC 2015 年 5 月 16 日 (土) 15 時 50 分 35 秒 (日本時間)

646×10196-79

c183

name 名前Bob Backstrom
date 日付March 12, 2021 08:10:54 UTC 2021 年 3 月 12 日 (金) 17 時 10 分 54 秒 (日本時間)
composite number 合成数
276262146439556537115781123781300106289383273342828299997952996113442869213850991920554629412498381900899143363153764520083447082589013523800403671123095671158427648809785669597922833<183>
prime factors 素因数
9623992053155460645638596337526987733929158951957355270257<58>
2936899408325272447831536576817573997488346009330047337715191<61>
9774106217210434185607572417729604339571491956481234327985189159<64>
factorization results 素因数分解の結果
Number: n
N=276262146439556537115781123781300106289383273342828299997952996113442869213850991920554629412498381900899143363153764520083447082589013523800403671123095671158427648809785669597922833  ( 183 digits)
SNFS difficulty: 198 digits.
Divisors found:

Fri Mar 12 19:00:00 2021  found factor: 2936899408325272447831536576817573997488346009330047337715191
Fri Mar 12 19:04:59 2021  p58 factor: 9623992053155460645638596337526987733929158951957355270257
Fri Mar 12 19:04:59 2021  p61 factor: 2936899408325272447831536576817573997488346009330047337715191
Fri Mar 12 19:04:59 2021  p64 factor: 9774106217210434185607572417729604339571491956481234327985189159
Fri Mar 12 19:04:59 2021  elapsed time 02:56:23 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 646x10^196-7 = 717(196)
#
n: 276262146439556537115781123781300106289383273342828299997952996113442869213850991920554629412498381900899143363153764520083447082589013523800403671123095671158427648809785669597922833
m: 1000000000000000000000000000000000000000
deg: 5
c5: 6460
c0: -7
skew: 0.26
# Murphy_E = 1.122e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3296548 hash collisions in 24060178 relations (21969419 unique)
Msieve: matrix is 2715680 x 2715905 (951.7 MB)

Sieving start time : 2021/03/12 09:27:13
Sieving end time  : 2021/03/12 16:08:05

Total sieving time: 6hrs 40min 52secs.

Total relation processing time: 2hrs 35min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 54sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 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)
403e6300Serge BatalovJanuary 9, 2015 00:00:46 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 46 秒 (日本時間)
4511e6585 / 4409CypJune 10, 2015 11:34:03 UTC 2015 年 6 月 10 日 (水) 20 時 34 分 3 秒 (日本時間)

646×10197-79

c190

name 名前Bob Backstrom
date 日付March 30, 2021 18:35:13 UTC 2021 年 3 月 31 日 (水) 3 時 35 分 13 秒 (日本時間)
composite number 合成数
6341415226438675245348498627199486458609020777206918769041971088304709923982160304376944318094445576519584198975409354959815856932333137720011969211168253083445641343081639925320639674963039<190>
prime factors 素因数
85984000774869459576445864718657587133501002997<47>
73751106825586096904562148920808197760351975530221701595747187683757588443055648883039148131427773525144735108451490200938420624998366936665987<143>
factorization results 素因数分解の結果
Number: n
N=6341415226438675245348498627199486458609020777206918769041971088304709923982160304376944318094445576519584198975409354959815856932333137720011969211168253083445641343081639925320639674963039  ( 190 digits)
SNFS difficulty: 199 digits.
Divisors found:

Wed Mar 31 05:29:47 2021  p47 factor: 85984000774869459576445864718657587133501002997
Wed Mar 31 05:29:47 2021  p143 factor: 73751106825586096904562148920808197760351975530221701595747187683757588443055648883039148131427773525144735108451490200938420624998366936665987
Wed Mar 31 05:29:47 2021  elapsed time 01:43:18 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 646x10^197-7 = 717(197)
#
n: 6341415226438675245348498627199486458609020777206918769041971088304709923982160304376944318094445576519584198975409354959815856932333137720011969211168253083445641343081639925320639674963039
m: 1000000000000000000000000000000000000000
deg: 5
c5: 64600
c0: -7
skew: 0.16
# Murphy_E = 1.158e-11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4256354 hash collisions in 28940680 relations (26082810 unique)
Msieve: matrix is 2078731 x 2078956 (728.6 MB)

Sieving start time : 2021/03/30 18:51:36
Sieving end time  : 2021/03/31 03:45:57

Total sieving time: 8hrs 54min 21secs.

Total relation processing time: 1hrs 24min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 9sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 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)
403e6301300Serge BatalovJanuary 9, 2015 00:00:46 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 46 秒 (日本時間)
1CypJanuary 9, 2015 01:06:34 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 34 秒 (日本時間)
4511e6585 / 4409CypJanuary 28, 2015 23:48:21 UTC 2015 年 1 月 29 日 (木) 8 時 48 分 21 秒 (日本時間)

646×10198-79

c174

name 名前Bob Backstrom
date 日付April 9, 2021 21:12:30 UTC 2021 年 4 月 10 日 (土) 6 時 12 分 30 秒 (日本時間)
composite number 合成数
576681992030500680905428989484257179138379223384266041447842220009898216994339234671428802800849718908329887501212776961036830581318215735238951665360808012676743838083125663<174>
prime factors 素因数
2499898740029910088192995458638659951584861660253997656026597911429<67>
230682140358853478098375586563527783822814319293237096829576550429205433791766686978793311874026123633006547<108>
factorization results 素因数分解の結果
Number: n
N=576681992030500680905428989484257179138379223384266041447842220009898216994339234671428802800849718908329887501212776961036830581318215735238951665360808012676743838083125663  ( 174 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sat Apr 10 06:50:38 2021  p67 factor: 2499898740029910088192995458638659951584861660253997656026597911429
Sat Apr 10 06:50:38 2021  p108 factor: 230682140358853478098375586563527783822814319293237096829576550429205433791766686978793311874026123633006547
Sat Apr 10 06:50:38 2021  elapsed time 03:02:33 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 646x10^198-7 = 717(198)
#
n: 576681992030500680905428989484257179138379223384266041447842220009898216994339234671428802800849718908329887501212776961036830581318215735238951665360808012676743838083125663
m: 1000000000000000000000000000000000000000
deg: 5
c5: 646000
c0: -7
skew: 0.10
# Murphy_E = 8.081e-12
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5921864 hash collisions in 44349976 relations (39991052 unique)
Msieve: matrix is 2715646 x 2715871 (952.9 MB)

Sieving start time : 2021/04/09 17:31:46
Sieving end time  : 2021/04/10 03:47:23

Total sieving time: 10hrs 15min 37secs.

Total relation processing time: 2hrs 38min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 9sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15600000,15600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 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)
403e6300Serge BatalovJanuary 9, 2015 00:00:47 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 47 秒 (日本時間)
4511e6585 / 4409CypJuly 1, 2015 19:03:21 UTC 2015 年 7 月 2 日 (木) 4 時 3 分 21 秒 (日本時間)

646×10199-79

c190

name 名前Cyp
date 日付February 3, 2015 20:15:16 UTC 2015 年 2 月 4 日 (水) 5 時 15 分 16 秒 (日本時間)
composite number 合成数
4591738588845119056082020137595116523694652168371591221057291836765803498336451096657895245876263317685392002445293475303486489331596816978801744444230601136600626138003946763978564084887927<190>
prime factors 素因数
587293225804245194408598096616319833267<39>
composite cofactor 合成数の残り
7818477018115008029709450781404211285087214416599590996715519044798689875764856866899776696250040212389454399215329553843017274185420053244985917159981<151>
factorization results 素因数分解の結果
Run 453 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2473773809
Step 1 took 59403ms
Step 2 took 19233ms
********** Factor found in step 2: 587293225804245194408598096616319833267
Found probable prime factor of 39 digits: 587293225804245194408598096616319833267
Composite cofactor 7818477018115008029709450781404211285087214416599590996715519044798689875764856866899776696250040212389454399215329553843017274185420053244985917159981 has 151 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

c151

name 名前Eric Jeancolas
date 日付October 25, 2021 15:15:27 UTC 2021 年 10 月 26 日 (火) 0 時 15 分 27 秒 (日本時間)
composite number 合成数
7818477018115008029709450781404211285087214416599590996715519044798689875764856866899776696250040212389454399215329553843017274185420053244985917159981<151>
prime factors 素因数
2895360668271737211820954862122945695106175212484188726529<58>
2700346490090962098937247504211620882129088044233160607872985502964666082007706357579294374189<94>
factorization results 素因数分解の結果
7818477018115008029709450781404211285087214416599590996715519044798689875764856866899776696250040212389454399215329553843017274185420053244985917159981=2895360668271737211820954862122945695106175212484188726529*2700346490090962098937247504211620882129088044233160607872985502964666082007706357579294374189

cado polynomial
n: 7818477018115008029709450781404211285087214416599590996715519044798689875764856866899776696250040212389454399215329553843017274185420053244985917159981
skew: 0.64
type: snfs
c0: -35
c5: 323
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 323*x^5-35
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16600000
tasks.lim1 = 16600000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2700346490090962098937247504211620882129088044233160607872985502964666082007706357579294374189 2895360668271737211820954862122945695106175212484188726529
Info:Square Root: Total cpu/real time for sqrt: 1394.01/436.257
Info:Square Root: Total cpu/real time for sqrt: 1394.01/436.257
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 233.64/301.384
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 300.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 7.04/3.16011
Info:Filtering - Singleton removal: Total cpu/real time for purge: 749.11/876.332
Info:Filtering - Merging: Merged matrix has 4393006 rows and total weight 752509616 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1306.72/361.16
Info:Filtering - Merging: Total cpu/real time for replay: 180.82/158.754
Info:Linear Algebra: Total cpu/real time for bwc: 381795/97671.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 246720.97, WCT time 62932.07, iteration CPU time 0.43, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (137728 iterations)
Info:Linear Algebra: Lingen CPU time 1075.87, WCT time 272.56
Info:Linear Algebra: Mksol: CPU time 132110.21,  WCT time 33732.08, iteration CPU time 0.47, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (69120 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 159/67.0589
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 53800059
Info:Lattice Sieving: Average J: 1894.08 for 7861348 special-q, max bucket fill -bkmult 1.0,1s:1.123540
Info:Lattice Sieving: Total time: 2.47189e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 232.84/60.9618
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1019.88/1039.63
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 847.6000000000001s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 5.1377e+06/108433
2700346490090962098937247504211620882129088044233160607872985502964666082007706357579294374189 2895360668271737211820954862122945695106175212484188726529
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

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 00:00:48 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 48 秒 (日本時間)
4511e65065585CypFebruary 3, 2015 20:15:16 UTC 2015 年 2 月 4 日 (水) 5 時 15 分 16 秒 (日本時間)
4480Ignacio SantosAugust 25, 2021 21:11:50 UTC 2021 年 8 月 26 日 (木) 6 時 11 分 50 秒 (日本時間)
5043e61100 / 6405yoyo@HomeSeptember 1, 2021 21:55:58 UTC 2021 年 9 月 2 日 (木) 6 時 55 分 58 秒 (日本時間)

646×10200-79

c202

name 名前Serge Batalov
date 日付January 9, 2015 00:09:03 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 3 秒 (日本時間)
composite number 合成数
7177777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<202>
prime factors 素因数
524735666755015278741427760379761<33>
13678844859480241454249761311142947869769769966010514381031552415715063816182389921736247697483854697173230269544579280655890702185457506785868114418024148781674281907457<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1911196246
Step 1 took 16111ms
Step 2 took 11098ms
********** Factor found in step 2: 524735666755015278741427760379761
Found probable prime factor of 33 digits: 524735666755015278741427760379761
Probable prime 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)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:00:48 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 48 秒 (日本時間)

646×10201-79

c179

name 名前Dmitry Domanov
date 日付February 10, 2016 12:35:13 UTC 2016 年 2 月 10 日 (水) 21 時 35 分 13 秒 (日本時間)
composite number 合成数
41542298197004971110717308876701898124960118239226393229916642249658452054515066894477220450843770625035094191058115573081104694520339590927263048276982459256139813118099495552603<179>
prime factors 素因数
17935406798441563186472833775722333218735916691<47>
2316217226843979323912339114191709729431027958426177564566464385022972637972567850096866703977021441757912014744132569775439386039833<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2221474808
Step 1 took 83597ms
Step 2 took 31079ms
********** Factor found in step 2: 17935406798441563186472833775722333218735916691
Found probable prime factor of 47 digits: 17935406798441563186472833775722333218735916691

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 00:00:49 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 49 秒 (日本時間)
4511e61385 / 4409585CypJuly 23, 2015 18:28:01 UTC 2015 年 7 月 24 日 (金) 3 時 28 分 1 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 09:17:35 UTC 2016 年 2 月 10 日 (水) 18 時 17 分 35 秒 (日本時間)

646×10202-79

c194

name 名前Serge Batalov
date 日付January 9, 2015 03:46:31 UTC 2015 年 1 月 9 日 (金) 12 時 46 分 31 秒 (日本時間)
composite number 合成数
85271238718879923628060582315306852929016817181991842027385218328154172725634168661384645304083593872775599826460003563369171096674397622618550450059081400715457581126711703220775138373838941631<194>
prime factors 素因数
67147712117127768663517411463517977<35>
composite cofactor 合成数の残り
1269905347931121522219857489976674458330809066976173222618989665842989972504899837386622905878974152472201099905077651866749899047450442499122811628527476670103<160>
factorization results 素因数分解の結果
Input number is 85271238718879923628060582315306852929016817181991842027385218328154172725634168661384645304083593872775599826460003563369171096674397622618550450059081400715457581126711703220775138373838941631 (194 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2788155539
Step 1 took 16250ms
Step 2 took 10850ms
********** Factor found in step 2: 67147712117127768663517411463517977
Found probable prime factor of 35 digits: 67147712117127768663517411463517977
Composite cofactor 1269905347931121522219857489976674458330809066976173222618989665842989972504899837386622905878974152472201099905077651866749899047450442499122811628527476670103 has 160 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 00:00:50 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 50 秒 (日本時間)
4511e66579585CypMay 15, 2015 05:36:21 UTC 2015 年 5 月 15 日 (金) 14 時 36 分 21 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 09:18:14 UTC 2016 年 2 月 10 日 (水) 18 時 18 分 14 秒 (日本時間)
714734734471309541January 20, 2018 23:12:39 UTC 2018 年 1 月 21 日 (日) 8 時 12 分 39 秒 (日本時間)
4480Ignacio SantosDecember 27, 2021 20:59:33 UTC 2021 年 12 月 28 日 (火) 5 時 59 分 33 秒 (日本時間)

646×10204-79

c147

composite cofactor 合成数の残り
176158777902875589416164681407921074428485944639591208910198629959826311624022147987054724089596738200039276395230104882789400993249370117331144039<147>

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 00:00:50 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 50 秒 (日本時間)
4511e61385 / 4409585CypJune 5, 2015 13:43:28 UTC 2015 年 6 月 5 日 (金) 22 時 43 分 28 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 07:39:47 UTC 2016 年 2 月 10 日 (水) 16 時 39 分 47 秒 (日本時間)

646×10205-79

c173

name 名前Serge Batalov
date 日付January 9, 2015 03:46:35 UTC 2015 年 1 月 9 日 (金) 12 時 46 分 35 秒 (日本時間)
composite number 合成数
68287008949650976876288433081535566030727108537581328597445183092067141278760196677578104930996726425766154940558964063499190188441690061987190845456592950432075929300207641<173>
prime factors 素因数
4023385186857784552643609979832813517<37>
16972525815501724227009212066133990889957731853694845686673870376093449596170447631581820756138642922787147791120262725530736366551227773<137>
factorization results 素因数分解の結果
Input number is 68287008949650976876288433081535566030727108537581328597445183092067141278760196677578104930996726425766154940558964063499190188441690061987190845456592950432075929300207641 (173 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=338624705
Step 1 took 12834ms
Step 2 took 10079ms
********** Factor found in step 2: 4023385186857784552643609979832813517
Found probable prime factor of 37 digits: 4023385186857784552643609979832813517
Probable prime cofactor 16972525815501724227009212066133990889957731853694845686673870376093449596170447631581820756138642922787147791120262725530736366551227773 has 137 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 00:00:51 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 51 秒 (日本時間)
1CypJanuary 9, 2015 00:14:07 UTC 2015 年 1 月 9 日 (金) 9 時 14 分 7 秒 (日本時間)

646×10206-79

c204

name 名前Bob Backstrom
date 日付August 12, 2017 14:29:43 UTC 2017 年 8 月 12 日 (土) 23 時 29 分 43 秒 (日本時間)
composite number 合成数
397066868273373777605674491219659112561695954958111289360943617734014370624427602908545542832205442151782805652363654244497304739601580891617955290024770580172472079315028919498687712439994345177727376101<204>
prime factors 素因数
105000885228749020447677250272424460197462577209831<51>
3835580280814337429897898257873083943064375588441935193439572908235701<70>
985915314874806830354711214875860722248995577577332221480437473718110104159809130471<84>
factorization results 素因数分解の結果
Number: n
N=397066868273373777605674491219659112561695954958111289360943617734014370624427602908545542832205442151782805652363654244497304739601580891617955290024770580172472079315028919498687712439994345177727376101
  ( 204 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sun Aug 13 00:18:04 2017  prp51 factor: 105000885228749020447677250272424460197462577209831
Sun Aug 13 00:18:04 2017  prp70 factor: 3835580280814337429897898257873083943064375588441935193439572908235701
Sun Aug 13 00:18:04 2017  prp84 factor: 985915314874806830354711214875860722248995577577332221480437473718110104159809130471
Sun Aug 13 00:18:04 2017  elapsed time 18:14:26 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.824).
Factorization parameters were as follows:
#
# 646x10^206-7 717(206)
#
n: 397066868273373777605674491219659112561695954958111289360943617734014370624427602908545542832205442151782805652363654244497304739601580891617955290024770580172472079315028919498687712439994345177727376101
m: 100000000000000000000000000000000000000000
deg: 5
c5: 6460
c0: -7
skew: 0.26
# Murphy_E = 4.26e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 32900000)
Primes: RFBsize:1329943, AFBsize:1331107,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8742158 hash collisions in 52956411 relations (45683815 unique)
Msieve: matrix is 3752135 x 3752361 (1066.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 17hrs 35min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 26min 49sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 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
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 00:00:51 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 51 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:01 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 1 秒 (日本時間)
4511e6800 / 3944Dmitry DomanovFebruary 10, 2016 10:07:19 UTC 2016 年 2 月 10 日 (水) 19 時 7 分 19 秒 (日本時間)

646×10207-79

c191

name 名前Bob Backstrom
date 日付July 26, 2021 15:45:41 UTC 2021 年 7 月 27 日 (火) 0 時 45 分 41 秒 (日本時間)
composite number 合成数
30867570078393812934371288366629264570898917971469739813536397053346437904037010004067062176769023240360142177269308178854494802553976995705472128740099976857326387630332327805445653983313311<191>
prime factors 素因数
1888059105688884468099507321579306061963281878987<49>
16348836742126964945424985504677366571773294286977015875733126034194182803813394448844730980530829180341946707251204667749643303682904955021053<143>
factorization results 素因数分解の結果
Number: n
N=30867570078393812934371288366629264570898917971469739813536397053346437904037010004067062176769023240360142177269308178854494802553976995705472128740099976857326387630332327805445653983313311
  ( 191 digits)
SNFS difficulty: 209 digits.
Divisors found:

Tue Jul 27 01:37:52 2021  p49 factor: 1888059105688884468099507321579306061963281878987
Tue Jul 27 01:37:52 2021  p143 factor: 16348836742126964945424985504677366571773294286977015875733126034194182803813394448844730980530829180341946707251204667749643303682904955021053
Tue Jul 27 01:37:52 2021  elapsed time 03:49:21 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 646x10^207-7 = 717(207)
#
n: 30867570078393812934371288366629264570898917971469739813536397053346437904037010004067062176769023240360142177269308178854494802553976995705472128740099976857326387630332327805445653983313311
m: 100000000000000000000000000000000000000000
deg: 5
c5: 64600
c0: -7
skew: 0.16
# Murphy_E = 4.39e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 45400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10382211 hash collisions in 63194330 relations (54823956 unique)
Msieve: matrix is 3032263 x 3032489 (1062.6 MB)

Sieving start time : 2021/07/26 04:13:53
Sieving end time  : 2021/07/26 21:47:02

Total sieving time: 17hrs 33min 9secs.

Total relation processing time: 3hrs 21min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 9sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 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)
403e6301300Serge BatalovJanuary 9, 2015 00:00:52 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 52 秒 (日本時間)
1CypJanuary 9, 2015 00:17:36 UTC 2015 年 1 月 9 日 (金) 9 時 17 分 36 秒 (日本時間)
4511e61385 / 4409585CypJune 11, 2015 19:18:26 UTC 2015 年 6 月 12 日 (金) 4 時 18 分 26 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 12:35:50 UTC 2016 年 2 月 10 日 (水) 21 時 35 分 50 秒 (日本時間)

646×10208-79

c173

composite cofactor 合成数の残り
83238081792009939663917076060542863428863118406463021601433653094850158655411830984427099769626283501666725561393551037938746457232583756394744328752793516800412819570464463<173>

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 00:00:52 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 52 秒 (日本時間)
1CypJanuary 9, 2015 00:53:21 UTC 2015 年 1 月 9 日 (金) 9 時 53 分 21 秒 (日本時間)
4511e61385 / 4409585CypJuly 23, 2015 16:06:40 UTC 2015 年 7 月 24 日 (金) 1 時 6 分 40 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 13:01:34 UTC 2016 年 2 月 10 日 (水) 22 時 1 分 34 秒 (日本時間)

646×10209-79

c194

name 名前Serge Batalov
date 日付January 8, 2015 23:38:13 UTC 2015 年 1 月 9 日 (金) 8 時 38 分 13 秒 (日本時間)
composite number 合成数
62935402644672425116787819103580758983378207784077120840634140358228040289857117784754176178567394882158331366472026310598254188041856009542183603046043755283675597254501925967524251943379802649<194>
prime factors 素因数
770311362130564343176281781429<30>
4570808648908360815401701551689<31>
17874572790759108654528640038059499756088641366109762441150869806540071703864385775861816957692893360911888441227076133928195638694829<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4059699670
Step 1 took 16344ms
Step 2 took 10824ms
********** Factor found in step 2: 4570808648908360815401701551689
Found probable prime factor of 31 digits: 4570808648908360815401701551689

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3894674229
Step 1 took 16464ms
Step 2 took 11006ms
********** Factor found in step 2: 770311362130564343176281781429
Found probable prime factor of 30 digits: 770311362130564343176281781429

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)

646×10210-79

c198

composite cofactor 合成数の残り
179364065319983705896220594884537048299869935193698698960035608046833685046675310788947192148681048392289381663444952982797154199615507102965025113499529481194772059771096245990705890682443935416703<198>

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 00:00:53 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 53 秒 (日本時間)
1CypJanuary 9, 2015 01:05:25 UTC 2015 年 1 月 9 日 (金) 10 時 5 分 25 秒 (日本時間)
4511e61385 / 4409585CypMay 15, 2015 05:36:24 UTC 2015 年 5 月 15 日 (金) 14 時 36 分 24 秒 (日本時間)
800Dmitry DomanovFebruary 11, 2016 07:52:11 UTC 2016 年 2 月 11 日 (木) 16 時 52 分 11 秒 (日本時間)

646×10211-79

c153

name 名前Cyp
date 日付January 23, 2015 23:51:13 UTC 2015 年 1 月 24 日 (土) 8 時 51 分 13 秒 (日本時間)
composite number 合成数
454083858101842916109800489982089501452322308744390234636152133542857141970864499292779265167438711892074367988090989343597606144934445695727287961499133<153>
prime factors 素因数
44804682109546320775440908191009672796131<41>
composite cofactor 合成数の残り
10134741208332185121317529840141263758977400804807857811383252273348729004764128391706169937515060225160797200543<113>
factorization results 素因数分解の結果
Run 217 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1650885657
Step 1 took 41553ms
Step 2 took 15373ms
********** Factor found in step 2: 44804682109546320775440908191009672796131
Found probable prime factor of 41 digits: 44804682109546320775440908191009672796131
Composite cofactor 10134741208332185121317529840141263758977400804807857811383252273348729004764128391706169937515060225160797200543 has 113 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

c113

name 名前Dmitry Domanov
date 日付January 25, 2015 22:44:29 UTC 2015 年 1 月 26 日 (月) 7 時 44 分 29 秒 (日本時間)
composite number 合成数
10134741208332185121317529840141263758977400804807857811383252273348729004764128391706169937515060225160797200543<113>
prime factors 素因数
19349911597408756084923446126887238078880027689<47>
523761628435004284668169835309797152412038096150966430417928644487<66>
factorization results 素因数分解の結果
N=10134741208332185121317529840141263758977400804807857811383252273348729004764128391706169937515060225160797200543
  ( 113 digits)
Divisors found:
 r1=19349911597408756084923446126887238078880027689 (pp47)
 r2=523761628435004284668169835309797152412038096150966430417928644487 (pp66)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 15.12 hours.
Scaled time: 27.73 units (timescale=1.834).
Factorization parameters were as follows:
n: 10134741208332185121317529840141263758977400804807857811383252273348729004764128391706169937515060225160797200543
skew: 178286.45
c0: -71071065602519891378658356655
c1: 3656049734816683585946388
c2: 17284005796543923036
c3: -217368168541952
c4: -516413381
c5: 2964
Y0: -5090810353937518465766
Y1: 8714825783
rlim: 3980000
alim: 3980000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 3980000/3980000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [1990000, 2690001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 439354 x 439582
Total sieving time: 14.48 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3980000,3980000,27,27,54,54,2.5,2.5,100000
total time: 15.12 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
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 00:00:54 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 54 秒 (日本時間)
1CypJanuary 9, 2015 00:55:41 UTC 2015 年 1 月 9 日 (金) 9 時 55 分 41 秒 (日本時間)
4511e6585 / 4409CypJanuary 23, 2015 23:51:13 UTC 2015 年 1 月 24 日 (土) 8 時 51 分 13 秒 (日本時間)

646×10212-79

c178

composite cofactor 合成数の残り
2620233010465167491331840103346867334939294197030703601400335244741425359621572618701148997092689247689441694186900711242573630662066752163465699490180516560615880783987104478637<178>

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 00:00:54 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 54 秒 (日本時間)
4511e6585 / 4409CypMay 26, 2015 04:14:33 UTC 2015 年 5 月 26 日 (火) 13 時 14 分 33 秒 (日本時間)

646×10213-79

c204

name 名前Serge Batalov
date 日付January 9, 2015 03:46:39 UTC 2015 年 1 月 9 日 (金) 12 時 46 分 39 秒 (日本時間)
composite number 合成数
380851870796358741356326089914805704157385992911994134737310266471498038103712727485145910484499036407683645121012289531086030682921057363977162303196874555421826465705915957043143052704956659496353514617<204>
prime factors 素因数
53974526639355962436192281592727<32>
7056141007796398549774683515655012581690596072379431609140366724624938226982593381191022218516220141015141086908657206602911797096572496344464958981812311057594421531753071<172>
factorization results 素因数分解の結果
Input number is 380851870796358741356326089914805704157385992911994134737310266471498038103712727485145910484499036407683645121012289531086030682921057363977162303196874555421826465705915957043143052704956659496353514617 (204 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2490015606
Step 1 took 16115ms
Step 2 took 11062ms
********** Factor found in step 2: 53974526639355962436192281592727
Found probable prime factor of 32 digits: 53974526639355962436192281592727
Probable prime cofactor 7056141007796398549774683515655012581690596072379431609140366724624938226982593381191022218516220141015141086908657206602911797096572496344464958981812311057594421531753071 has 172 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 00:00:55 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 55 秒 (日本時間)

646×10214-79

c179

composite cofactor 合成数の残り
18072827294834565016799511095546810946420684489459302268272857029127714464538563253493803974948156600009999319299401831305630916969206409100649385767543152145506559777594343217433<179>

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 00:00:55 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 55 秒 (日本時間)
4511e6585 / 4409CypFebruary 4, 2015 19:28:48 UTC 2015 年 2 月 5 日 (木) 4 時 28 分 48 秒 (日本時間)

646×10215-79

c209

name 名前Bob Backstrom
date 日付February 22, 2020 22:38:53 UTC 2020 年 2 月 23 日 (日) 7 時 38 分 53 秒 (日本時間)
composite number 合成数
27581430759728430995484339549889383540501707993121988724447245915130223746385748633055432187359511490063062247332612960158487922161277806084395227063464811123265171714949521739890585548647273873222565769436277<209>
prime factors 素因数
206731609294391368128936250345068651307772761644997843<54>
1736697806877538137242207133334072236096128620533459438485447<61>
76822007125926021265603738643970743722228213155293069453454391801742502810654558851417486197937<95>
factorization results 素因数分解の結果
#
# N = 646x10^215-7 = 717(215)
#
n: 27581430759728430995484339549889383540501707993121988724447245915130223746385748633055432187359511490063062247332612960158487922161277806084395227063464811123265171714949521739890585548647273873222565769436277
m: 1000000000000000000000000000000000000
deg: 6
c6: 323
c0: -35
skew: 0.69
# Murphy_E = 2.388e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 27581430759728430995484339549889383540501707993121988724447245915130223746385748633055432187359511490063062247332612960158487922161277806084395227063464811123265171714949521739890585548647273873222565769436277 (209 digits)
Using B1=100220000, B2=776268975310, polynomial Dickson(30), sigma=3502546761
Step 1 took 559887ms
Step 2 took 156766ms
********** Factor found in step 2: 1736697806877538137242207133334072236096128620533459438485447
Found probable prime factor of 61 digits: 1736697806877538137242207133334072236096128620533459438485447
Composite cofactor 15881537162367887771418728456260771313042500386063701531142891519016064908522460182455463843975787732232473424549707665614615941086299084208636049891 has 149 digits



Number: n
N=15881537162367887771418728456260771313042500386063701531142891519016064908522460182455463843975787732232473424549707665614615941086299084208636049891
  ( 149 digits)
SNFS difficulty: 218 digits.
Divisors found:

Sun Feb 23 09:13:12 2020  p54 factor: 206731609294391368128936250345068651307772761644997843
Sun Feb 23 09:13:12 2020  p95 factor: 76822007125926021265603738643970743722228213155293069453454391801742502810654558851417486197937
Sun Feb 23 09:13:12 2020  elapsed time 08:05:30 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.131).
Factorization parameters were as follows:
#
# N = 646x10^215-7 = 717(215)
#
# n: 27581430759728430995484339549889383540501707993121988724447245915130223746385748633055432187359511490063062247332612960158487922161277806084395227063464811123265171714949521739890585548647273873222565769436277
#
# Found probable prime factor of 61 digits: 1736697806877538137242207133334072236096128620533459438485447
# Composite cofactor 15881537162367887771418728456260771313042500386063701531142891519016064908522460182455463843975787732232473424549707665614615941086299084208636049891 has 149 digits
#
n: 15881537162367887771418728456260771313042500386063701531142891519016064908522460182455463843975787732232473424549707665614615941086299084208636049891
m: 1000000000000000000000000000000000000
deg: 6
c6: 323
c0: -35
skew: 0.69
# Murphy_E = 2.388e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 84300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9665595 hash collisions in 58813766 relations (51398936 unique)
Msieve: matrix is 4227667 x 4227892 (1494.4 MB)

Sieving start time: 2020/02/21 08:15:41
Sieving end time  : 2020/02/23 01:05:26

Total sieving time: 40hrs 49min 45secs.

Total relation processing time: 7hrs 37min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 35sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149030] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283244K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2712K bss, 420216K reserved, 0K cma-reserved)
[    0.184566] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977268)
[    0.182220] smpboot: Total of 16 processors activated (95818.14 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)
403e6300Serge BatalovJanuary 9, 2015 00:00:56 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 56 秒 (日本時間)
4511e6585 / 4409CypJuly 23, 2015 18:50:01 UTC 2015 年 7 月 24 日 (金) 3 時 50 分 1 秒 (日本時間)

646×10217-79

c176

composite cofactor 合成数の残り
51381612546896284761785726272394165955268536294356077056003929569283712348630091791669305033687931850158841180422208668035423562597423493153954283749293885162204739178890692893<176>

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 00:00:57 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 57 秒 (日本時間)
1CypJanuary 9, 2015 01:01:05 UTC 2015 年 1 月 9 日 (金) 10 時 1 分 5 秒 (日本時間)
4511e61385 / 4409585CypJuly 23, 2015 15:33:37 UTC 2015 年 7 月 24 日 (金) 0 時 33 分 37 秒 (日本時間)
800Dmitry DomanovFebruary 12, 2016 11:47:24 UTC 2016 年 2 月 12 日 (金) 20 時 47 分 24 秒 (日本時間)

646×10218-79

c210

name 名前Erik Branger
date 日付January 11, 2020 16:36:16 UTC 2020 年 1 月 12 日 (日) 1 時 36 分 16 秒 (日本時間)
composite number 合成数
189263338879153266088988450947996094361000586985189430001904796136514800203357993012961679820173675973053564964963209070155008863287577243952121434524582945545470847191466412915638534584041684928652176504486207<210>
prime factors 素因数
7949731139611051615184674972178365261111<40>
199541395382583244743765494503216305590359603335647154447924935145987558228283<78>
119311155420557917017494615660637649875631548910946753603903119565091721441764458983987731739<93>
factorization results 素因数分解の結果
Number: 71777_218
N = 189263338879153266088988450947996094361000586985189430001904796136514800203357993012961679820173675973053564964963209070155008863287577243952121434524582945545470847191466412915638534584041684928652176504486207 (210 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=7949731139611051615184674972178365261111 (pp40)
r2=199541395382583244743765494503216305590359603335647154447924935145987558228283 (pp78)
r3=119311155420557917017494615660637649875631548910946753603903119565091721441764458983987731739 (pp93)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 99.88 hours.
Factorization parameters were as follows:
n: 189263338879153266088988450947996094361000586985189430001904796136514800203357993012961679820173675973053564964963209070155008863287577243952121434524582945545470847191466412915638534584041684928652176504486207
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 323
c0: -350
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8830730 relations
Pruned matrix : 7590459 x 7590684
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 48.57 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 49.77 hours.
time per square root: 1.11 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 99.88 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 00:00:57 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 57 秒 (日本時間)
1CypJanuary 9, 2015 00:56:15 UTC 2015 年 1 月 9 日 (金) 9 時 56 分 15 秒 (日本時間)
4511e6585 / 4409CypMay 16, 2015 03:17:20 UTC 2015 年 5 月 16 日 (土) 12 時 17 分 20 秒 (日本時間)

646×10219-79

c203

name 名前Erik Branger
date 日付January 14, 2020 17:45:09 UTC 2020 年 1 月 15 日 (水) 2 時 45 分 9 秒 (日本時間)
composite number 合成数
12655931441411965796474304980018836206282529023430532294813393026433670115473922290346257198092872359581192980113532926965688523369139353437949160794683527361129579576146905947111295552536799056113515793<203>
prime factors 素因数
2315824995629342178847615165131271495106774537332762055149<58>
43963893500429504817359069356973713327603472882781936304411938013<65>
124306039381708613874213224024687317808381180061912184869106260516693889461919289<81>
factorization results 素因数分解の結果
Number: 71777_219
N = 12655931441411965796474304980018836206282529023430532294813393026433670115473922290346257198092872359581192980113532926965688523369139353437949160794683527361129579576146905947111295552536799056113515793 (203 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=2315824995629342178847615165131271495106774537332762055149 (pp58)
r2=43963893500429504817359069356973713327603472882781936304411938013 (pp65)
r3=124306039381708613874213224024687317808381180061912184869106260516693889461919289 (pp81)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 84.70 hours.
Factorization parameters were as follows:
n: 12655931441411965796474304980018836206282529023430532294813393026433670115473922290346257198092872359581192980113532926965688523369139353437949160794683527361129579576146905947111295552536799056113515793
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 323
c0: -35
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8069238 relations
Pruned matrix : 6989202 x 6989427
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 41.92 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 41.85 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 84.70 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 00:00:58 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 58 秒 (日本時間)
4511e6585 / 4409CypJuly 5, 2015 06:38:38 UTC 2015 年 7 月 5 日 (日) 15 時 38 分 38 秒 (日本時間)

646×10220-79

c209

name 名前Erik Branger
date 日付March 20, 2018 16:29:46 UTC 2018 年 3 月 21 日 (水) 1 時 29 分 46 秒 (日本時間)
composite number 合成数
30326258346595555598858345863855705069165969966330532556648620842044454050594571289616021800808857000548811111477955787446272810170049848508415102859987647555642147706108841121723622704698486159311763108428297<209>
prime factors 素因数
634924029480088211108090457062299338639739246192444621<54>
47763601531081466730442161428332983000872033721669493118707792622472782992710449938490824988509422831741152639732732303306247745743294967707234181007206957<155>
factorization results 素因数分解の結果
Number: 71777_220
N = 30326258346595555598858345863855705069165969966330532556648620842044454050594571289616021800808857000548811111477955787446272810170049848508415102859987647555642147706108841121723622704698486159311763108428297 (209 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=634924029480088211108090457062299338639739246192444621 (pp54)
r2=47763601531081466730442161428332983000872033721669493118707792622472782992710449938490824988509422831741152639732732303306247745743294967707234181007206957 (pp155)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 104.46 hours.
Factorization parameters were as follows:
n: 30326258346595555598858345863855705069165969966330532556648620842044454050594571289616021800808857000548811111477955787446272810170049848508415102859987647555642147706108841121723622704698486159311763108428297
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 646
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30143137
Relations: 9898768 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 51.06 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 8513613 x 8513838
Matrix solve time: 52.47 hours.
time per square root: 0.63 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 104.46 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_Factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 00:00:58 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 58 秒 (日本時間)
1CypJanuary 9, 2015 00:59:03 UTC 2015 年 1 月 9 日 (金) 9 時 59 分 3 秒 (日本時間)
4511e6585 / 4409CypMay 24, 2015 12:42:11 UTC 2015 年 5 月 24 日 (日) 21 時 42 分 11 秒 (日本時間)

646×10221-79

c198

name 名前Erik Branger
date 日付February 10, 2020 17:23:13 UTC 2020 年 2 月 11 日 (火) 2 時 23 分 13 秒 (日本時間)
composite number 合成数
131030755994286541979525809083369927087213838028333457995908964819393994900792601565043699501749411570597797987561042480002803180346265734065309056755073339392503305683375912318372751001776894569913<198>
prime factors 素因数
138115855675886876191703246354052702000906854982466175617871159068032635914346239155980537<90>
948701764566214862799858439363412687079027473597025755479027985985261555478002930871404991458842169107462849<108>
factorization results 素因数分解の結果
Number: 71777_221
N = 131030755994286541979525809083369927087213838028333457995908964819393994900792601565043699501749411570597797987561042480002803180346265734065309056755073339392503305683375912318372751001776894569913 (198 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=138115855675886876191703246354052702000906854982466175617871159068032635914346239155980537 (pp90)
r2=948701764566214862799858439363412687079027473597025755479027985985261555478002930871404991458842169107462849 (pp108)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 75.69 hours.
Factorization parameters were as follows:
n: 131030755994286541979525809083369927087213838028333457995908964819393994900792601565043699501749411570597797987561042480002803180346265734065309056755073339392503305683375912318372751001776894569913
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 6460
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 70000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/70000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33385135
Relations: 10698990 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 33.41 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 9087811 x 9088036
Matrix solve time: 41.65 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,70000000,29,28,58,56,2.8,2.8,100000
total time: 75.69 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 00:00:59 UTC 2015 年 1 月 9 日 (金) 9 時 0 分 59 秒 (日本時間)
4511e6585 / 4409CypJune 19, 2015 07:33:02 UTC 2015 年 6 月 19 日 (金) 16 時 33 分 2 秒 (日本時間)

646×10222-79

c176

name 名前Cyp
date 日付July 23, 2015 06:49:54 UTC 2015 年 7 月 23 日 (木) 15 時 49 分 54 秒 (日本時間)
composite number 合成数
58427003695895044152005765344700685363766411793831938673635077917632550517637028774996726675203474035855324987933339943525056192696322117935250272130115629655230924060598604709<176>
prime factors 素因数
20565333262545957000716475200949867029489339<44>
2841043368954472751270990375558548349014203839926606320617623965270148111386074539552164716309529968481528860519068019498811488876831<133>
factorization results 素因数分解の結果
Run 214 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3766597591
Step 1 took 58918ms
Step 2 took 19074ms
********** Factor found in step 2: 20565333262545957000716475200949867029489339
Found probable prime factor of 44 digits: 20565333262545957000716475200949867029489339
Probable prime cofactor 2841043368954472751270990375558548349014203839926606320617623965270148111386074539552164716309529968481528860519068019498811488876831 has 133 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)
403e6301 / 1580300Serge BatalovJanuary 9, 2015 00:01:00 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 0 秒 (日本時間)
1CypJanuary 9, 2015 01:02:46 UTC 2015 年 1 月 9 日 (金) 10 時 2 分 46 秒 (日本時間)
4511e6214 / 4409CypJuly 23, 2015 06:49:54 UTC 2015 年 7 月 23 日 (木) 15 時 49 分 54 秒 (日本時間)

646×10226-79

c220

composite cofactor 合成数の残り
2608056701452301178518690270760303632754952794248392643653417374868012195174627347747561297117291148544258265813722796846755933124004969594715816801656229694085853503469565049979270531490259388853435264845067525662358461<220>

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 00:01:00 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 0 秒 (日本時間)
4511e61385 / 4409585CypJune 5, 2015 04:00:14 UTC 2015 年 6 月 5 日 (金) 13 時 0 分 14 秒 (日本時間)
800Dmitry DomanovFebruary 11, 2016 19:24:03 UTC 2016 年 2 月 12 日 (金) 4 時 24 分 3 秒 (日本時間)

646×10227-79

c205

composite cofactor 合成数の残り
1068377845259563206032428584719949957085163190367052960522328952535451508517085172716979660018607682554562921024794094348658431157040033702738362722503116827618086565718596924791081255713083087162328311857<205>

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 00:01:01 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 1 秒 (日本時間)
1CypJanuary 9, 2015 01:00:04 UTC 2015 年 1 月 9 日 (金) 10 時 0 分 4 秒 (日本時間)
4511e6585 / 4409CypJuly 23, 2015 16:07:34 UTC 2015 年 7 月 24 日 (金) 1 時 7 分 34 秒 (日本時間)

646×10228-79

c219

composite cofactor 合成数の残り
721101250362624057782178139739091772416080392249031573288135234547747975952900386123768742592992043969821298378894315445250856528164909234560675015187408041700695800384587177771839434638404921369739918052345077428971537<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 00:01:02 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 2 秒 (日本時間)
4511e61385 / 4409585CypFebruary 2, 2015 09:21:56 UTC 2015 年 2 月 2 日 (月) 18 時 21 分 56 秒 (日本時間)
800Dmitry DomanovFebruary 11, 2016 19:23:29 UTC 2016 年 2 月 12 日 (金) 4 時 23 分 29 秒 (日本時間)

646×10230-79

c183

name 名前Serge Batalov
date 日付January 9, 2015 03:46:42 UTC 2015 年 1 月 9 日 (金) 12 時 46 分 42 秒 (日本時間)
composite number 合成数
127638444829898733051808008125589270863269723129543264310705789575461545951229338452562445425954234677056139874313533058157360064068360831026817035180547813225462929133640690189312369<183>
prime factors 素因数
687924453185877606975312644707805122771<39>
185541369025023954748870015815114561957664298550400362844957399037011271005798203434642158310223328918674660805001366217588703231594260113783339<144>
factorization results 素因数分解の結果
Input number is 127638444829898733051808008125589270863269723129543264310705789575461545951229338452562445425954234677056139874313533058157360064068360831026817035180547813225462929133640690189312369 (183 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2902788671
Step 1 took 15022ms
Step 2 took 471ms
********** Factor found in step 2: 687924453185877606975312644707805122771
Found probable prime factor of 39 digits: 687924453185877606975312644707805122771
Probable prime cofactor 185541369025023954748870015815114561957664298550400362844957399037011271005798203434642158310223328918674660805001366217588703231594260113783339 has 144 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 00:01:02 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 2 秒 (日本時間)
1CypJanuary 9, 2015 00:46:21 UTC 2015 年 1 月 9 日 (金) 9 時 46 分 21 秒 (日本時間)

646×10231-79

c222

composite cofactor 合成数の残り
555345697822390558900026283492569274444830004981209523215308407690768985250108189716609101620925160358926902361127378152652539345304807685760391862643690208857503149244542158773028754041481787432304080922786068678223698261<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)
403e6301300Serge BatalovJanuary 9, 2015 00:01:03 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 3 秒 (日本時間)
1CypJanuary 9, 2015 00:31:15 UTC 2015 年 1 月 9 日 (金) 9 時 31 分 15 秒 (日本時間)
4511e61385 / 4409585CypMay 30, 2015 04:53:17 UTC 2015 年 5 月 30 日 (土) 13 時 53 分 17 秒 (日本時間)
800Dmitry DomanovFebruary 11, 2016 11:10:48 UTC 2016 年 2 月 11 日 (木) 20 時 10 分 48 秒 (日本時間)

646×10232-79

c208

name 名前Cyp
date 日付May 20, 2015 11:25:50 UTC 2015 年 5 月 20 日 (水) 20 時 25 分 50 秒 (日本時間)
composite number 合成数
1192077840230562402764964058079528554264774162604317280357915987795681206244958029382753821384225441063389749466105898098516802892516624578007049586481666280890171717616525073233832979269413803694231951799407<208>
prime factors 素因数
22241681155378462913673820380111777751283<41>
53596570866330184490587233269038158307072788057770854534426798587988831353583551438016881700332175223018516706474408821925648473988470497770796712146725002011639553429<167>
factorization results 素因数分解の結果
Run 112 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2288308947
Step 1 took 68832ms
Step 2 took 21724ms
********** Factor found in step 2: 22241681155378462913673820380111777751283
Found probable prime factor of 41 digits: 22241681155378462913673820380111777751283
Probable prime cofactor 53596570866330184490587233269038158307072788057770854534426798587988831353583551438016881700332175223018516706474408821925648473988470497770796712146725002011639553429 has 167 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 / 1932Serge BatalovJanuary 9, 2015 00:01:04 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 4 秒 (日本時間)
4511e6112 / 4409CypMay 20, 2015 11:25:50 UTC 2015 年 5 月 20 日 (水) 20 時 25 分 50 秒 (日本時間)

646×10234-79

c181

composite cofactor 合成数の残り
8644287511070246516460461960108074674312251196658035758943966622600211328509206364836571660519531721979511396537712595869057060096952249244331205984467195594465686849405653465844891<181>

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)
403e6581281CypJanuary 8, 2015 19:28:36 UTC 2015 年 1 月 9 日 (金) 4 時 28 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2015 00:01:04 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 4 秒 (日本時間)
4511e6504 / 4347CypJanuary 27, 2015 23:43:38 UTC 2015 年 1 月 28 日 (水) 8 時 43 分 38 秒 (日本時間)

646×10235-79

c222

name 名前Serge Batalov
date 日付January 9, 2015 03:46:46 UTC 2015 年 1 月 9 日 (金) 12 時 46 分 46 秒 (日本時間)
composite number 合成数
412141841556116857862104579397247910428386754994547491707798338313581704733528065445742895171655847932151524988420913524532352133155025967697045018846770780150857734924589915404780519044629177399886949888485948668603131749<222>
prime factors 素因数
459238370657493513100215222557329<33>
composite cofactor 合成数の残り
897446441520231953196072046517537139319183023062825670817906083209993758079974904410437838164647021659529759552701396127828472497626524650805876722387689912113774323575227386350261479448981<189>
factorization results 素因数分解の結果
Input number is 412141841556116857862104579397247910428386754994547491707798338313581704733528065445742895171655847932151524988420913524532352133155025967697045018846770780150857734924589915404780519044629177399886949888485948668603131749 (222 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3530282346
Step 1 took 21282ms
********** Factor found in step 1: 459238370657493513100215222557329
Found probable prime factor of 33 digits: 459238370657493513100215222557329
Composite cofactor 897446441520231953196072046517537139319183023062825670817906083209993758079974904410437838164647021659529759552701396127828472497626524650805876722387689912113774323575227386350261479448981 has 189 digits

c189

name 名前Serge Batalov
date 日付June 10, 2015 06:07:16 UTC 2015 年 6 月 10 日 (水) 15 時 7 分 16 秒 (日本時間)
composite number 合成数
897446441520231953196072046517537139319183023062825670817906083209993758079974904410437838164647021659529759552701396127828472497626524650805876722387689912113774323575227386350261479448981<189>
prime factors 素因数
321781913537246711049920346943752145330397128123<48>
composite cofactor 合成数の残り
2788989696949984915272657310584746661976952841101837437199462639524261659315317614348971246809165716321046146874611383475011536415564840286447<142>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1316602008
Step 1 took 8265ms
Step 2 took 4516ms
********** Factor found in step 2: 321781913537246711049920346943752145330397128123
Found probable prime factor of 48 digits: 321781913537246711049920346943752145330397128123
Composite cofactor 

c142

name 名前Dmitry Domanov
date 日付February 11, 2016 14:33:32 UTC 2016 年 2 月 11 日 (木) 23 時 33 分 32 秒 (日本時間)
composite number 合成数
2788989696949984915272657310584746661976952841101837437199462639524261659315317614348971246809165716321046146874611383475011536415564840286447<142>
prime factors 素因数
480449111777973377735910876076436065692077<42>
5804963790293864499841032559962122363086065240220737154632594839160128455761577331488232078800156811<100>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=75400735
Step 1 took 54650ms
Step 2 took 21046ms
********** Factor found in step 2: 480449111777973377735910876076436065692077
Found probable prime factor of 42 digits: 480449111777973377735910876076436065692077

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)
403e6600300Serge BatalovJanuary 9, 2015 00:01:05 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 5 秒 (日本時間)
300Serge BatalovJune 10, 2015 17:24:34 UTC 2015 年 6 月 11 日 (木) 2 時 24 分 34 秒 (日本時間)
4511e61298 / 4342408CypMay 13, 2015 18:43:05 UTC 2015 年 5 月 14 日 (木) 3 時 43 分 5 秒 (日本時間)
90KTakahashiJune 12, 2015 10:50:09 UTC 2015 年 6 月 12 日 (金) 19 時 50 分 9 秒 (日本時間)
800Dmitry DomanovFebruary 11, 2016 12:18:01 UTC 2016 年 2 月 11 日 (木) 21 時 18 分 1 秒 (日本時間)

646×10236-79

c212

composite cofactor 合成数の残り
27731627207189481259662495054894023858875104787105311164339994055795544906663355151020268401964307654280201196619553722473213119518251346885181040467319128856968486822460288705486899052963180096911198914259362899<212>

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 00:01:05 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 5 秒 (日本時間)
4511e6585 / 4409CypJune 28, 2015 21:18:54 UTC 2015 年 6 月 29 日 (月) 6 時 18 分 54 秒 (日本時間)

646×10239-79

c176

name 名前Serge Batalov
date 日付January 9, 2015 03:46:50 UTC 2015 年 1 月 9 日 (金) 12 時 46 分 50 秒 (日本時間)
composite number 合成数
89362044388818155449427561267731101491714541821635411659589331113972537496950503249614532017604311656994657205281065637040798229829597873528184122122912736699037599959782184159<176>
prime factors 素因数
1635501920708968331118577010461<31>
54638911307472447165108111774588996200846061134593374389061852927383837548379425276381456248203258114647654951825125037374823631918432868111941419<146>
factorization results 素因数分解の結果
Input number is 89362044388818155449427561267731101491714541821635411659589331113972537496950503249614532017604311656994657205281065637040798229829597873528184122122912736699037599959782184159 (176 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4140723322
Step 1 took 15048ms
Step 2 took 11238ms
********** Factor found in step 2: 1635501920708968331118577010461
Found probable prime factor of 31 digits: 1635501920708968331118577010461
Probable prime cofactor 54638911307472447165108111774588996200846061134593374389061852927383837548379425276381456248203258114647654951825125037374823631918432868111941419 has 146 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 00:01:06 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 6 秒 (日本時間)
1CypJanuary 9, 2015 00:42:26 UTC 2015 年 1 月 9 日 (金) 9 時 42 分 26 秒 (日本時間)

646×10240-79

c240

composite cofactor 合成数の残り
132676114191825836927500513452454302731567056890531936742657629903470938591086465393304579995892380365578147463544875744506058738960772232491271308276853563360032860957075374820291640994043951530088313822140069829533785171493119737112343397<240>

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 00:01:06 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 6 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 21:35:12 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 12 秒 (日本時間)
4511e6800 / 3944Dmitry DomanovFebruary 10, 2016 10:08:15 UTC 2016 年 2 月 10 日 (水) 19 時 8 分 15 秒 (日本時間)

646×10242-79

c203

composite cofactor 合成数の残り
32130861436148974082307524886095457457522886329126519316431138589350270759966646956200758705665787973333680814972605398338015279715177442897042436715382556294778830938838809478837877329428885537450403089<203>

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 00:01:07 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 7 秒 (日本時間)
4511e6585 / 4409CypJuly 23, 2015 15:43:17 UTC 2015 年 7 月 24 日 (金) 0 時 43 分 17 秒 (日本時間)

646×10243-79

c218

composite cofactor 合成数の残り
28652014065228982068490249772514345035206398856443280016208864718779701920393793048663793969755692416466065702110343283757094634368429107985484746439959505933710915343039336719387475209207398436631423623642486655115081<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 00:01:07 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 7 秒 (日本時間)
4511e6585 / 4409CypMay 21, 2015 22:05:22 UTC 2015 年 5 月 22 日 (金) 7 時 5 分 22 秒 (日本時間)

646×10244-79

c224

composite cofactor 合成数の残り
93502705412945121873706486949566782167596925663142139034731927224890916825194333571535613234843103199364252078085200220681290824747796965013885450937786217303213438973325800869471404398152611337957030315374122918131507118839<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 00:01:08 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 8 秒 (日本時間)
4511e61385 / 4409585CypMay 20, 2015 04:28:24 UTC 2015 年 5 月 20 日 (水) 13 時 28 分 24 秒 (日本時間)
800Dmitry DomanovFebruary 8, 2016 00:19:21 UTC 2016 年 2 月 8 日 (月) 9 時 19 分 21 秒 (日本時間)

646×10245-79

c224

composite cofactor 合成数の残り
78069070196127092135106359811826800943994914923215756557077615583194914154131989363254398488313865359605503439135713189160169451040248445885210143933878616798682593805389200413920057388445480620125301579043041651757599175059<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)
403e6301300Serge BatalovJanuary 9, 2015 00:01:09 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 9 秒 (日本時間)
1CypJanuary 9, 2015 01:04:29 UTC 2015 年 1 月 9 日 (金) 10 時 4 分 29 秒 (日本時間)
4511e61385 / 4409585CypJuly 23, 2015 12:56:36 UTC 2015 年 7 月 23 日 (木) 21 時 56 分 36 秒 (日本時間)
800Dmitry DomanovFebruary 8, 2016 00:20:06 UTC 2016 年 2 月 8 日 (月) 9 時 20 分 6 秒 (日本時間)

646×10247-79

c241

composite cofactor 合成数の残り
8059516892321349801102164386130920336931671828743570085297522748912773978333126649143555250296986647565062686442061230328146212042593269230206609695388974598607270317769796136279329291545496789413470741658714724363206061197855529234745365309<241>

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 00:01:09 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 9 秒 (日本時間)
4511e61385 / 4409585CypFebruary 3, 2015 20:59:09 UTC 2015 年 2 月 4 日 (水) 5 時 59 分 9 秒 (日本時間)
800Dmitry DomanovFebruary 8, 2016 00:17:55 UTC 2016 年 2 月 8 日 (月) 9 時 17 分 55 秒 (日本時間)

646×10249-79

c142

name 名前Erik Branger
date 日付October 9, 2016 15:26:35 UTC 2016 年 10 月 10 日 (月) 0 時 26 分 35 秒 (日本時間)
composite number 合成数
1553786523738052181270481506951627651474240619493898096036396132388297608601215685571957294192912628847182674844683342286234437019917134867179<142>
prime factors 素因数
1477378223413239491282493556891255341769665479<46>
1051718848372005832251274384634608804985548799041518468045664001529021784792978153594370217402301<97>
factorization results 素因数分解の結果
Number: 71777_249
N = 1553786523738052181270481506951627651474240619493898096036396132388297608601215685571957294192912628847182674844683342286234437019917134867179 (142 digits)
Divisors found:
r1=1477378223413239491282493556891255341769665479 (pp46)
r2=1051718848372005832251274384634608804985548799041518468045664001529021784792978153594370217402301 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 229.93 hours.
Factorization parameters were as follows:
# Murphy_E = 1.845e-11, selected by Erik Branger
# expecting poly E from 1.74e-011 to > 2.00e-011
n: 1553786523738052181270481506951627651474240619493898096036396132388297608601215685571957294192912628847182674844683342286234437019917134867179
Y0: -2769290665577967701073794493
Y1: 174183149769689
c0: -193758311656907707357463591631440
c1: 18514324878570757494216373308
c2: -155012798651952703085464
c3: 16873307263421031
c4: 93117666528
c5: 9540
skew: 1146616.32
type: gnfs
# selected mechanically
rlim: 19600000
alim: 19600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23128616
Relations: 3883694 relations
Pruned matrix : 2415521 x 2415746
Polynomial selection time: 0.00 hours.
Total sieving time: 226.88 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.62 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,19600000,19600000,28,28,56,56,2.6,2.6,100000
total time: 229.93 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, 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)
403e6631300Serge BatalovJanuary 9, 2015 00:01:10 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 10 秒 (日本時間)
1CypJanuary 9, 2015 00:20:43 UTC 2015 年 1 月 9 日 (金) 9 時 20 分 43 秒 (日本時間)
330Ignacio SantosJanuary 14, 2015 15:49:29 UTC 2015 年 1 月 15 日 (木) 0 時 49 分 29 秒 (日本時間)
4511e61300 / 4336500Dmitry DomanovFebruary 6, 2015 12:53:09 UTC 2015 年 2 月 6 日 (金) 21 時 53 分 9 秒 (日本時間)
800Dmitry DomanovFebruary 8, 2016 00:15:15 UTC 2016 年 2 月 8 日 (月) 9 時 15 分 15 秒 (日本時間)

646×10250-79

c220

composite cofactor 合成数の残り
1000947927586567419130913627274909592720494926180475018408763807186715278962504536036748173714510787034838295077142259830565792644597058321313888159868687574860313509528136983983318660638161529372709054561901025126161919<220>

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 00:01:10 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 10 秒 (日本時間)
4511e61385 / 4409585CypJanuary 27, 2015 18:02:35 UTC 2015 年 1 月 28 日 (水) 3 時 2 分 35 秒 (日本時間)
800Dmitry DomanovFebruary 6, 2016 20:11:39 UTC 2016 年 2 月 7 日 (日) 5 時 11 分 39 秒 (日本時間)

646×10251-79

c253

name 名前yoyo
date 日付August 22, 2022 23:25:58 UTC 2022 年 8 月 23 日 (火) 8 時 25 分 58 秒 (日本時間)
composite number 合成数
7177777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<253>
prime factors 素因数
2299686861357564287474272762141569368448325862882680583<55>
3121197889325049667453425667954268008292933637774083622186901062446606158972771664730277373135632023680930623192771297674609575005731323315651431950174392543815575444702459250237000269408835261534919<199>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 7177777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (253 digits)
[Mon Aug 22 19:44:49 2022]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=0:8675322514022441354
dF=262144, k=4, d=2852850, d2=17, i0=75
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
23      82      335     1521    7650    42057   250476  1603736 1.1e+07 7.9e+07
Writing checkpoint to checkpnt at p = 99554173
Writing checkpoint to checkpnt at p = 199035043
Writing checkpoint to checkpnt at p = 260000000
Step 1 took 1568137ms
Using 30 small primes for NTT
Estimated memory usage: 1.38GB
Initializing tables of differences for F took 437ms
Computing roots of F took 37877ms
Building F from its roots took 18003ms
Computing 1/F took 6396ms
Initializing table of differences for G took 608ms
Computing roots of G took 30109ms
Building G from its roots took 17674ms
Computing roots of G took 30124ms
Building G from its roots took 17612ms
Computing G * H took 3572ms
Reducing  G * H mod F took 3588ms
Computing roots of G took 30155ms
Building G from its roots took 17691ms
Computing G * H took 3635ms
Reducing  G * H mod F took 3572ms
Computing roots of G took 30124ms
Building G from its roots took 17659ms
Computing G * H took 3650ms
Reducing  G * H mod F took 3588ms
Computing polyeval(F,G) took 31575ms
Computing product of all F(g_i) took 172ms
Step 2 took 308664ms
********** Factor found in step 2: 2299686861357564287474272762141569368448325862882680583
Found prime factor of 55 digits: 2299686861357564287474272762141569368448325862882680583
Prime cofactor 3121197889325049667453425667954268008292933637774083622186901062446606158972771664730277373135632023680930623192771297674609575005731323315651431950174392543815575444702459250237000269408835261534919 has 199 digits
Peak memory usage: 1695MB
software ソフトウェア
GMP-ECM 7.0.5-dev

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62100Dmitry DomanovDecember 20, 2018 22:19:02 UTC 2018 年 12 月 21 日 (金) 7 時 19 分 2 秒 (日本時間)
5043e6522Dmitry DomanovJanuary 5, 2019 23:42:43 UTC 2019 年 1 月 6 日 (日) 8 時 42 分 43 秒 (日本時間)
5511e79000 / 17432yoyo@HomeFebruary 19, 2020 00:14:50 UTC 2020 年 2 月 19 日 (水) 9 時 14 分 50 秒 (日本時間)

646×10252-79

c207

composite cofactor 合成数の残り
460936894252095642656286722790202975044867275708235486315646289847442488659044535169443336299438964612392764267330903846300560336550867004813002809981635285340539066454227367395757803234169035563739379318377<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10253-79

c227

composite cofactor 合成数の残り
54431397505241773268983655092521414683930885823114012851284472340974425240635198189787388785623025329515811062985675415182190814886890080960707685069495327873364267553881096009682995818694532105984696489425701698164322747209003<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10254-79

c206

composite cofactor 合成数の残り
60889297254943237265491040991455258309990640760042900647510549279979457348560224886020714959542606937693459141094361641598167972714119387334141713128772336742709249591437886195902784813895374469201164499897<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10256-79

c175

composite cofactor 合成数の残り
8367792608164768627292496859523880222112768046851830238542273586747417850328500047243231561310034403220505056075158705005011605026683995686498743219960782403446586747946491467<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62100Dmitry DomanovDecember 22, 2018 06:26:10 UTC 2018 年 12 月 22 日 (土) 15 時 26 分 10 秒 (日本時間)
5043e6540 / 6988Dmitry DomanovJanuary 6, 2019 10:05:53 UTC 2019 年 1 月 6 日 (日) 19 時 5 分 53 秒 (日本時間)

646×10258-79

c172

composite cofactor 合成数の残り
8199093258905716516099262512912870975096596492538481288107811368394468199802461685331492817527564025335390935014607321691836089838446639546318936368231870974801760946865241<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovDecember 20, 2018 22:33:14 UTC 2018 年 12 月 21 日 (金) 7 時 33 分 14 秒 (日本時間)
5043e6550 / 7010Dmitry DomanovJanuary 6, 2019 11:51:02 UTC 2019 年 1 月 6 日 (日) 20 時 51 分 2 秒 (日本時間)

646×10261-79

c194

composite cofactor 合成数の残り
20512556618366407190209825725284503008906395781109813042165947821200226250920536696171284427063739025703912620808874071643450085820517825143329752319411998145544491759956495769375607712879688953<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10262-79

c242

composite cofactor 合成数の残り
33861148217039059465054833795199509556559659818215906580253227309716565965669870761358768416906218226314228495843698337909503561915172095439610500681498747627196420894669775284011564320376544318140144737850224189579293697705041027104933398797<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10267-79

c257

composite cofactor 合成数の残り
18086757924917751029765781391849777404865298317535078891436658787562173744034679572455382850719506090284542613142808615955927209939968378923066852590145218389361533736932785331357541416932289193637533615245585225678974114020519476726867072103602014876214827<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10268-79

c176

composite cofactor 合成数の残り
60858251603685241614671236551962980075669302230180861311987067328935027585685230072967336035343438365082991040560064987456783320679675466598895839041280823888779576653467856949<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62400Dmitry DomanovDecember 22, 2018 19:57:17 UTC 2018 年 12 月 23 日 (日) 4 時 57 分 17 秒 (日本時間)
5043e6440 / 6920Dmitry DomanovJanuary 4, 2019 21:18:40 UTC 2019 年 1 月 5 日 (土) 6 時 18 分 40 秒 (日本時間)

646×10271-79

c210

composite cofactor 合成数の残り
111686435671678036156920302036004681716428289815901717066506827774232684943734533366784725448571101592660348106597890780454453828888149714210269384228399137150326333290242704824828326621631847445967564714731419<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10272-79

c206

composite cofactor 合成数の残り
11657728700462863415950766774132914992850138116720793649356609591124087500554869310617703587237452243859525607330694039494608526596684801739307642946499413611093200182260509531474132879759651208449091501283<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10274-79

c217

composite cofactor 合成数の残り
4326839951730297469075482839423116295272027313979878338267303123422164295885220684014829416763649457077475247351899788927432402044778910349215172898109688815077675762387238423826578519131492990637126571078353258352261<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10275-79

c220

composite cofactor 合成数の残り
3625112703420720307927824557123838085332454877802681215263944064055041229630854211946478684500417670184803692951426035184922178945360020658722363857506403445840315134370837042075631116285143870295591699078835717881316599<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10276-79

c194

composite cofactor 合成数の残り
17775825553870222630472600876457116898705317347638798221010078837879234708825530360044224324418174630808414479671204203839180460108746374846560919988102694254669159141231716504309237067528270231<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10277-79

c270

composite cofactor 合成数の残り
218968663589354487486729247797507603809462202336820988822238600325765775336698981550547367260852680123430562581191396280409418104074959554537963161864301001003581958309721143238455449623793730363449322742459982558230073081570743779245842607236282976500960233331939516439<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10278-79

c273

composite cofactor 合成数の残り
640940600770293526288600412041464173836346294888575105801582986364703079653111437713010432419505822692355129391570466294506391948809760902268156827767086670279944499306380233288686760432307886910019509894550289434785737476226535831838855309455200390128439237903369790848283<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10280-79

c225

composite cofactor 合成数の残り
429519577485471061493312688783398630646550162611688506407637317229461035358732001321940548098212569360273536989921299907031774484430303330476936071635166185238092434412051667918843589070951090734506803073688146476742831155867<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10281-79

c237

composite cofactor 合成数の残り
562454181298051029378952665830702938278026304229602741523022731137876151951169042628608575495311825895455672569242838824984432121729549106319920282202481907733022371081670797100592668029968671850398267275489439509296758397753178151663401<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10284-79

c268

composite cofactor 合成数の残り
2304239628047545841331133742051332637523166648091120038947153816993980775930459046575421634415142119097282453925782177547567177946564776613567726541986616620223174385727032536828883231791066109208981545191174912202775944597686942876778069261988880167139420718953281611<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10286-79

c209

composite cofactor 合成数の残り
19517062983036910372444739390463872856336101774392930774070412427298400925908349055868908923722533475587073273668784399312488364838239081045366107222509084730306893795635110102984275722601458692221035158685739<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10288-79

c256

composite cofactor 合成数の残り
6599567381611190516747436272740995429144344522633226274014491583965102522301084099777089217827407888922569717260311752383408461268899529291175888283637456920713974732988742162746779628960895229176139370900384981473591524649553713541948904029188950621608571<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10289-79

c291

composite cofactor 合成数の残り
239259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10290-79

c236

composite cofactor 合成数の残り
41697527884790455529822563739528726916916390838478446267682922706265080086522031275422439732279334614846490578556063226740362454817674935271583206414185949263587860641760444674942961596301267172027197969456652520601863815564581942937137<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10292-79

c218

composite cofactor 合成数の残り
52560452764268207266402213529817857850251199028470309157572183567886874519293259294155764338585703600962115724558996341495442064159536293490542503598742418712628153029694671607051390292371728546620161454148301221570037<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10293-79

c250

composite cofactor 合成数の残り
7094634958775731355096672319170060075791280708031580676107465679427347969445357044764385625355219086574639263072721176474886724748661931842295037871294487363215931561089507424898271486199976862448140198811189078008453605174374657471115736558351220801<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10294-79

c281

composite cofactor 合成数の残り
70908611040797946798394397130123218443106919537094677047594567484944547550335662429359286133615910634066009360919910132365678156841606129979552226158165312972331701319611395629504627514488642354909815410265960505991386239326284885096341421521216426736716826350503980742238948128601<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10296-79

c237

composite cofactor 合成数の残り
104434100612269239990996910834593821625309531345034944582362027880207696027259866728168329852207230044500118599615223083619176798741693305258795115733393727213746366736724847395105779565408000161697827781175425472356413118493806256708309<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10297-79

c220

composite cofactor 合成数の残り
2414420325151670925813564450182692842524554112952123969633154609808255797189640426528371308893678328929286455471147214641357761371664320882333175743414400814519682829772888811086136681468533802720720392030687627723585689<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10298-79

c296

composite cofactor 合成数の残り
12121143890737081881516756637076815403984966779434584287920323180468071293341063846155289490818139685863481395169930556728266845294050319634189131124132897272367356971440258334224593913534589354033094850765452113038110302409405707445121802485397399020176263197692854717020074940942259448769403681<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10299-79

c243

composite cofactor 合成数の残り
671488310126826149128203114530619090163341692798309433319208602279558600651255626530272896642718788335878556903919449303173933425847163529210683088488146288514043647230019454560744017223064613102800986650117526247809087791350402225635308919801<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)

646×10300-79

c256

composite cofactor 合成数の残り
6673277146181907098298169047960167802566231448860914622085473541713240029003726549116471761921614373806750556185542134719801661084275276423828527679063660743058704529470003293231732881863943332661981807500033093098089160770271204128577791131268187351491399<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerDecember 16, 2018 00:00:00 UTC 2018 年 12 月 16 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovDecember 19, 2018 22:13:20 UTC 2018 年 12 月 20 日 (木) 7 時 13 分 20 秒 (日本時間)
5043e6550 / 7010Dmitry DomanovDecember 27, 2018 21:52:49 UTC 2018 年 12 月 28 日 (金) 6 時 52 分 49 秒 (日本時間)