Contributed factorization results of 77...7797

Table of contents 目次

7×10¹¹⁷+1739
- c117
- ECM
7×10¹²⁸+1739
- c97
- ECM
7×10¹²⁹+1739
- c104
- ECM
7×10¹³⁰+1739
- c127
- ECM
7×10¹³¹+1739
- c115
- ECM
7×10¹³⁴+1739
- c134
- ECM
7×10¹³⁷+1739
- c115
- ECM
7×10¹³⁸+1739
- c112
- ECM
7×10¹⁴¹+1739
- c118
- ECM
7×10¹⁴²+1739
- c104
- ECM
7×10¹⁴⁶+1739
- c144
- ECM
7×10¹⁵²+1739
- c105
- ECM
7×10¹⁵³+1739
- c138
- c108
- ECM
7×10¹⁵⁴+1739
- c132
- ECM
7×10¹⁵⁵+1739
- c146
- ECM
7×10¹⁵⁶+1739
- c122
- ECM
7×10¹⁵⁸+1739
- c107
- ECM
7×10¹⁵⁹+1739
- c142
- ECM
7×10¹⁶¹+1739
- c119
- ECM
7×10¹⁶⁵+1739
- c135
- ECM
7×10¹⁶⁶+1739
- c140
- ECM
7×10¹⁶⁸+1739
- c141
- ECM
7×10¹⁷⁰+1739
- c167
- ECM
7×10¹⁷¹+1739
- c147
- ECM
7×10¹⁷²+1739
- c121
- ECM
7×10¹⁷⁵+1739
- c148
- ECM
7×10¹⁷⁹+1739
- c151
- ECM
7×10¹⁸¹+1739
- c116
- ECM
7×10¹⁸⁴+1739
- c184
- ECM
7×10¹⁸⁶+1739
- c140
- ECM
7×10¹⁸⁷+1739
- c141
- ECM
7×10¹⁸⁸+1739
- c186
- c146
- ECM
7×10¹⁸⁹+1739
- c189
- ECM
7×10¹⁹⁰+1739
- c166
- c117
- ECM
7×10¹⁹²+1739
- c155
- c111
- ECM
7×10¹⁹⁵+1739
- c157
- ECM
7×10¹⁹⁶+1739
- c194
- ECM
7×10¹⁹⁷+1739
- c197
- ECM
7×10¹⁹⁸+1739
- c194
- ECM
7×10¹⁹⁹+1739
- c191
- ECM
7×10²⁰⁰+1739
- c182
- ECM
7×10²⁰¹+1739
- c150
- c114
- ECM
7×10²⁰²+1739
- c193
- ECM
7×10²⁰³+1739
- c203
- c173
- ECM
7×10²⁰⁶+1739
- c135
- ECM
7×10²⁰⁷+1739
- c180
- ECM
7×10²⁰⁸+1739
- c167
- c131
- ECM
7×10²¹²+1739
- c184
- ECM
7×10²¹³+1739
- c159
- ECM
7×10²¹⁴+1739
- c161
- ECM
7×10²¹⁵+1739
- c192
- c145
- ECM
7×10²¹⁷+1739
- c193
- ECM
7×10²¹⁸+1739
- c197
- c166
- c122
- ECM
7×10²¹⁹+1739
- c195
- ECM
7×10²²⁰+1739
- c184
- ECM
7×10²²¹+1739
- c198
- ECM
7×10²²³+1739
- c154
- ECM
7×10²²⁴+1739
- c223
- ECM
7×10²²⁵+1739
- c187
- ECM
7×10²²⁷+1739
- c177
- ECM
7×10²³⁰+1739
- c218
- ECM
7×10²³¹+1739
- c210
- ECM
7×10²³²+1739
- c224
- ECM
7×10²³³+1739
- c183
- ECM
7×10²³⁴+1739
- c175
- c136
- ECM
7×10²³⁸+1739
- c235
- ECM
7×10²³⁹+1739
- c236
- ECM
7×10²⁴⁰+1739
- c222
- ECM
7×10²⁴³+1739
- c213
- ECM
7×10²⁴⁴+1739
- c219
- ECM
7×10²⁴⁵+1739
- c245
- ECM
7×10²⁴⁶+1739
- c236
- ECM
7×10²⁴⁹+1739
- c244
- ECM
7×10²⁵⁰+1739
- c224
- ECM
7×10²⁵¹+1739
- c241
- ECM
7×10²⁵³+1739
- c249
- ECM
7×10²⁵⁴+1739
- c252
- ECM
7×10²⁵⁵+1739
- c255
- ECM
7×10²⁵⁶+1739
- c180
- ECM
7×10²⁵⁷+1739
- c257
- ECM
7×10²⁵⁸+1739
- c201
- ECM
7×10²⁶⁰+1739
- c253
- ECM
7×10²⁶¹+1739
- c252
- ECM
7×10²⁶²+1739
- c249
- ECM
7×10²⁶³+1739
- c263
- ECM
7×10²⁶⁴+1739
- c186
- ECM
7×10²⁶⁵+1739
- c250
- ECM
7×10²⁶⁶+1739
- c196
- ECM
7×10²⁶⁷+1739
- c251
- ECM
7×10²⁶⁸+1739
- c254
- ECM
7×10²⁶⁹+1739
- c222
- ECM
7×10²⁷¹+1739
- c216
- ECM
7×10²⁷²+1739
- c238
- ECM
7×10²⁷³+1739
- c233
- ECM
7×10²⁷⁶+1739
- c274
- ECM
7×10²⁷⁷+1739
- c244
- ECM
7×10²⁷⁹+1739
- c238
- ECM
7×10²⁸⁰+1739
- c261
- ECM
7×10²⁸¹+1739
- c266
- ECM
7×10²⁸²+1739
- c230
- ECM
7×10²⁸³+1739
- c210
- ECM
7×10²⁸⁴+1739
- c267
- ECM
7×10²⁸⁵+1739
- c268
- ECM
7×10²⁸⁷+1739
- c248
- ECM
7×10²⁸⁸+1739
- c266
- ECM
7×10²⁹⁰+1739
- c274
- ECM
7×10²⁹¹+1739
- c279
- ECM
7×10²⁹²+1739
- c292
- ECM
7×10²⁹³+1739
- c237
- ECM
7×10²⁹⁴+1739
- c281
- ECM
7×10²⁹⁵+1739
- c235
- ECM
7×10²⁹⁷+1739
- c264
- ECM
7×10²⁹⁸+1739
- c287
- ECM
7×10³⁰⁰+1739
- c247
- ECM

7×10¹¹⁷+1739

c117

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10¹²⁸+1739

c97

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10¹²⁹+1739

c104

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10¹³⁰+1739

c127

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	January 8, 2015 14:58:25 UTC 2015 年 1 月 8 日 (木) 23 時 58 分 25 秒 (日本時間)

7×10¹³¹+1739

c115

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	January 8, 2015 15:52:01 UTC 2015 年 1 月 9 日 (金) 0 時 52 分 1 秒 (日本時間)

7×10¹³⁴+1739

c134

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	January 8, 2015 15:52:51 UTC 2015 年 1 月 9 日 (金) 0 時 52 分 51 秒 (日本時間)

7×10¹³⁷+1739

c115

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10¹³⁸+1739

c112

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	January 8, 2015 15:54:48 UTC 2015 年 1 月 9 日 (金) 0 時 54 分 48 秒 (日本時間)

7×10¹⁴¹+1739

c118

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	January 8, 2015 15:55:17 UTC 2015 年 1 月 9 日 (金) 0 時 55 分 17 秒 (日本時間)
40	3e6	0		-	-
45	11e6	642 / 4439		Pierre Jammes	January 11, 2015 08:24:08 UTC 2015 年 1 月 11 日 (日) 17 時 24 分 8 秒 (日本時間)

7×10¹⁴²+1739

c104

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	January 8, 2015 15:55:29 UTC 2015 年 1 月 9 日 (金) 0 時 55 分 29 秒 (日本時間)
40	3e6	0		-	-
45	11e6	610 / 4439		Pierre Jammes	January 10, 2015 20:16:04 UTC 2015 年 1 月 11 日 (日) 5 時 16 分 4 秒 (日本時間)

7×10¹⁴⁶+1739

c144

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	January 8, 2015 15:55:48 UTC 2015 年 1 月 9 日 (金) 0 時 55 分 48 秒 (日本時間)
40	3e6	300 / 2104		Serge Batalov	January 9, 2015 00:08:33 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 33 秒 (日本時間)

7×10¹⁵²+1739

c105

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10¹⁵³+1739

c138

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

c108

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:08:34 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 34 秒 (日本時間)

7×10¹⁵⁴+1739

c132

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:08:34 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 34 秒 (日本時間)

7×10¹⁵⁵+1739

c146

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:08:35 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 35 秒 (日本時間)

7×10¹⁵⁶+1739

c122

name 名前	Serge Batalov
date 日付	January 11, 2015 00:21:06 UTC 2015 年 1 月 11 日 (日) 9 時 21 分 6 秒 (日本時間)
composite number 合成数	12000736092393260835082092647121153003509960502979315591413584316202745837560576481812952498968516550496025310985411435949<122>
prime factors 素因数	6954007245177096374303732026371313<34> 20268864532219932593087070595882056441893<41> 85141897819600313311011063512698666996802871161<47>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3664541761 Step 1 took 7587ms Step 2 took 6612ms ********** Factor found in step 2: 6954007245177096374303732026371313 Found probable prime factor of 34 digits: 6954007245177096374303732026371313 PRP41 = 20268864532219932593087070595882056441893 PRP47 = 85141897819600313311011063512698666996802871161

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 11, 2015 00:11:11 UTC 2015 年 1 月 11 日 (日) 9 時 11 分 11 秒 (日本時間)

7×10¹⁵⁸+1739

c107

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10¹⁵⁹+1739

c142

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:08:36 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 36 秒 (日本時間)

7×10¹⁶¹+1739

c119

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	418	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	January 13, 2015 14:42:45 UTC 2015 年 1 月 13 日 (火) 23 時 42 分 45 秒 (日本時間)
40	3e6	110		Ignacio Santos	January 13, 2015 14:42:45 UTC 2015 年 1 月 13 日 (火) 23 時 42 分 45 秒 (日本時間)
45	11e6	632 / 4437	32	Ignacio Santos	January 13, 2015 14:42:45 UTC 2015 年 1 月 13 日 (火) 23 時 42 分 45 秒 (日本時間)
45	11e6	632 / 4437	600	Pierre Jammes	January 25, 2015 07:24:59 UTC 2015 年 1 月 25 日 (日) 16 時 24 分 59 秒 (日本時間)

7×10¹⁶⁵+1739

c135

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

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:08:36 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 36 秒 (日本時間)
45	11e6	667 / 4409	Pierre Jammes	February 8, 2015 09:25:41 UTC 2015 年 2 月 8 日 (日) 18 時 25 分 41 秒 (日本時間)

7×10¹⁶⁶+1739

c140

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2650	300	Serge Batalov	January 9, 2015 00:08:37 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 37 秒 (日本時間)
40	3e6	2650	2350	Ignacio Santos	February 22, 2015 10:04:14 UTC 2015 年 2 月 22 日 (日) 19 時 4 分 14 秒 (日本時間)

7×10¹⁶⁸+1739

c141

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:08:37 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 37 秒 (日本時間)

7×10¹⁷⁰+1739

c167

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2651	300	Serge Batalov	January 9, 2015 00:08:38 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 38 秒 (日本時間)
			1	Cyp	January 9, 2015 01:07:30 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 30 秒 (日本時間)
			2350	Ignacio Santos	February 8, 2015 10:19:59 UTC 2015 年 2 月 8 日 (日) 19 時 19 分 59 秒 (日本時間)

7×10¹⁷¹+1739

c147

name 名前	Daniel Morel
date 日付	April 22, 2015 00:35:38 UTC 2015 年 4 月 22 日 (水) 9 時 35 分 38 秒 (日本時間)
composite number 合成数	418093998766071911170613083929959312780936300937871060910730861374782753369120338889395392205084330052921722912199770499066719759163137653424222187<147>
prime factors 素因数	1445375538699693141425110695187466001686748649812463<52> 289263231299875791978170717305184853216435157966917592863541403821147925474694823698716393860549<96>
factorization results 素因数分解の結果	Polynomial: 70 X^5 + 173 ; m = 10^34 rlim = alim = 6000000 lpbr = lpba = 27 mfbr = mfba = 48 rlambda = alambda = 2.6 skew = 1 qIntSize = 100000 Initial matrix: 826382 x 1010302 Pruned matrix: 67069 x 677264 time: 4 days 12 hours or so p52 = 1445375538699693141425110695187466001686748649812463 p96 = 289263231299875791978170717305184853216435157966917592863541403821147925474694823698716393860549
software ソフトウェア	GGNFS-0.77.1
execution environment 実行環境	Windows 7, Intel Core I5 3.2 GHz

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2651	300	Serge Batalov	January 9, 2015 00:08:38 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 38 秒 (日本時間)
			1	Cyp	January 9, 2015 00:55:20 UTC 2015 年 1 月 9 日 (金) 9 時 55 分 20 秒 (日本時間)
			2350	Ignacio Santos	February 15, 2015 18:50:00 UTC 2015 年 2 月 16 日 (月) 3 時 50 分 0 秒 (日本時間)

7×10¹⁷²+1739

c121

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

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
30	25e4	0	-	-
35	1e6	118 / 902	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	1 / 2318	Cyp	January 9, 2015 01:21:34 UTC 2015 年 1 月 9 日 (金) 10 時 21 分 34 秒 (日本時間)

7×10¹⁷⁵+1739

c148

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:08:39 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 39 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:15:00 UTC 2015 年 1 月 9 日 (金) 9 時 15 分 0 秒 (日本時間)
45	11e6	585 / 4409		Cyp	February 6, 2015 09:07:35 UTC 2015 年 2 月 6 日 (金) 18 時 7 分 35 秒 (日本時間)

7×10¹⁷⁹+1739

c151

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

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:08:40 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 40 秒 (日本時間)
45	11e6	600 / 4409	KTakahashi	May 10, 2015 06:57:22 UTC 2015 年 5 月 10 日 (日) 15 時 57 分 22 秒 (日本時間)

7×10¹⁸¹+1739

c116

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	418	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	January 10, 2015 13:08:35 UTC 2015 年 1 月 10 日 (土) 22 時 8 分 35 秒 (日本時間)
40	3e6	110 / 2126		Ignacio Santos	January 10, 2015 13:08:35 UTC 2015 年 1 月 10 日 (土) 22 時 8 分 35 秒 (日本時間)
45	11e6	32 / 4437		Ignacio Santos	January 10, 2015 13:08:35 UTC 2015 年 1 月 10 日 (土) 22 時 8 分 35 秒 (日本時間)

7×10¹⁸⁴+1739

c184

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:08:40 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 40 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 10, 2015 20:08:47 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 47 秒 (日本時間)
45	11e6	436		KTakahashi	February 18, 2015 09:17:43 UTC 2015 年 2 月 18 日 (水) 18 時 17 分 43 秒 (日本時間)
50	43e6	1000 / 7364		Serge Batalov	January 11, 2015 21:22:47 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 47 秒 (日本時間)

7×10¹⁸⁶+1739

c140

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

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:08:41 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 41 秒 (日本時間)
45	11e6	641 / 4409	Pierre Jammes	March 24, 2015 06:44:41 UTC 2015 年 3 月 24 日 (火) 15 時 44 分 41 秒 (日本時間)

7×10¹⁸⁷+1739

c141

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:08:41 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 41 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:36:45 UTC 2015 年 1 月 9 日 (金) 9 時 36 分 45 秒 (日本時間)
45	11e6	600 / 4409		KTakahashi	June 17, 2015 21:18:53 UTC 2015 年 6 月 18 日 (木) 6 時 18 分 53 秒 (日本時間)

7×10¹⁸⁸+1739

c186

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

c146

name 名前	Jason Parker-Burlingham
date 日付	May 1, 2018 17:51:55 UTC 2018 年 5 月 2 日 (水) 2 時 51 分 55 秒 (日本時間)
composite number 合成数	79846783569081138947444514724339711374339495483437821618426852669437609955132005642962168833912560755460779243409905987027591859874433373943063949<146>
prime factors 素因数	972257675176224188058615119416652864192502389987<48> 82125125476236230679467660298770742623037523274012127202087187795397690280595293598351674260958927<98>
factorization results 素因数分解の結果	n: 79846783569081138947444514724339711374339495483437821618426852669437609955132005642962168833912560755460779243409905987027591859874433373943063949 skew: 437246.493 c0: 162661163843864953685839705119000 c1: 46124417846795701086682768690 c2: 39523103891021728881211 c3: -261045583123220081 c4: -308054081912 c5: 357600 Y0: -15504128151570291821627747123 Y1: 54327690958734431219 # MurphyE (Bf=2.000e+07,Bg=1.000e+07,area=6.711e+14) = 2.71e-10 # f(x) = 357600x^5-308054081912x^4-261045583123220081x^3+39523103891021728881211x^2+46124417846795701086682768690x+162661163843864953685839705119000 # g(x) = 54327690958734431219x-15504128151570291821627747123 Info:Square Root: Total cpu/real time for sqrt: 3707.36/660.468 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 71.71/9.88283 Info:Generate Free Relations: Total cpu/real time for freerel: 1804.78/232.271 Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info) Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 72811546 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 403.71/822.707 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 822.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1332.56/755.772 Warning:Filtering - Duplicate Removal, removal pass: some stats could not be displayed for duplicates2 (see log file for debug info) Info:Filtering - Singleton removal: Total cpu/real time for purge: 2245.08/2007.87 Info:Filtering - Merging: Total cpu/real time for merge: 1282.64/1352.9 Info:Filtering - Merging: Total cpu/real time for replay: 168.33/245.487 Info:Linear Algebra: Total cpu/real time for bwc: 643730/86028.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 51793.68, iteration CPU time 0.74, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (69000 iterations) Info:Linear Algebra: Lingen CPU time 1206.37, WCT time 1209.37 Info:Linear Algebra: Mksol: WCT time 33012.85, iteration CPU time 0.92, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (35000 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 179.8/37.0749 Info:Square Root: Total cpu/real time for sqrt: 3707.36/660.468 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 116429/86860.2 82125125476236230679467660298770742623037523274012127202087187795397690280595293598351674260958927 972257675176224188058615119416652864192502389987
software ソフトウェア	CADO-NFS
execution environment 実行環境	19 days, 14 hours on a 4-core 3.7GHz Intel Xeon E5 and a 4-core 2.6GHz Intel Core i7 running macos.

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:08:42 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 42 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 10, 2015 20:08:50 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 50 秒 (日本時間)

7×10¹⁸⁹+1739

c189

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10¹⁹⁰+1739

c166

name 名前	Robert Balfour
date 日付	March 27, 2020 01:24:40 UTC 2020 年 3 月 27 日 (金) 10 時 24 分 40 秒 (日本時間)
composite number 合成数	1680558800851859946755031865095045921151704098695189900736995475704564379184833885454286249868310790850974301962966520330797930389301959356410612848067541756188099693<166>
prime factors 素因数	14437843936517043050996716110476617686955930268033<50>
composite cofactor 合成数の残り	116399568262494644466691034647541375894899492391515690913511646133562516338606490990099794896817271192685363719287021<117>
factorization results 素因数分解の結果	Thu 2020/03/26 17:15:29 UTC GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM] Thu 2020/03/26 17:15:29 UTC Input number is 1680558800851859946755031865095045921151704098695189900736995475704564379184833885454286249868310790850974301962966520330797930389301959356410612848067541756188099693 (166 digits) Thu 2020/03/26 17:15:29 UTC Run 687 out of 4000: Thu 2020/03/26 17:15:29 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2280918653 Thu 2020/03/26 17:15:29 UTC Step 1 took 33896ms Thu 2020/03/26 17:15:29 UTC Step 2 took 15292ms Thu 2020/03/26 17:15:29 UTC ********** Factor found in step 2: 14437843936517043050996716110476617686955930268033 Thu 2020/03/26 17:15:29 UTC Found prime factor of 50 digits: 14437843936517043050996716110476617686955930268033 Thu 2020/03/26 17:15:29 UTC Composite cofactor 116399568262494644466691034647541375894899492391515690913511646133562516338606490990099794896817271192685363719287021 has 117 digits

c117

name 名前	Robert Balfour
date 日付	March 28, 2020 16:21:40 UTC 2020 年 3 月 29 日 (日) 1 時 21 分 40 秒 (日本時間)
composite number 合成数	116399568262494644466691034647541375894899492391515690913511646133562516338606490990099794896817271192685363719287021<117>
prime factors 素因数	433535841869275965168300520704789607520874823<45> 268488916073501020668571666255268195362408461951530460350167560827651627<72>
factorization results 素因数分解の結果	03/27/20 00:58:26 v1.35-beta @ cerium, nfs: commencing nfs on c117: 116399568262494644466691034647541375894899492391515690913511646133562516338606490990099794896817271192685363719287021 03/27/20 00:58:26 v1.35-beta @ cerium, nfs: commencing poly selection with 6 threads 03/27/20 00:58:26 v1.35-beta @ cerium, nfs: setting deadline of 1425 seconds 03/27/20 00:58:26 v1.35-beta @ cerium, nfs: expecting degree 5 poly E from 4.13e-10 to > 4.75e-10 03/27/20 01:18:34 v1.35-beta @ cerium, nfs: completed 18 ranges of size 60 in 1208.1611 seconds 03/27/20 01:18:34 v1.35-beta @ cerium, nfs: best poly = # norm 5.062433e-11 alpha -5.958152 e 4.931e-10 rroots 5 03/27/20 01:18:34 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 01:21:40 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 01:24:48 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 01:27:56 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 01:31:10 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 01:34:35 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 01:37:41 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 01:40:56 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 01:44:06 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 01:47:10 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 01:50:48 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 01:54:00 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 01:57:11 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:00:21 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:03:32 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:06:39 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:09:59 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:13:18 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:16:37 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:19:55 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:23:14 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:26:33 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:29:52 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:33:29 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:36:52 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:40:13 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:43:20 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:46:42 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:50:03 v1.35-beta @ cerium, nfs: commencing lattice sieving with 6 threads 03/27/20 02:53:28 v1.35-beta @ cerium, nfs: commencing msieve filtering 03/27/20 02:55:53 v1.35-beta @ cerium, nfs: commencing msieve linear algebra 03/27/20 03:00:00 v1.35-beta @ cerium, nfs: commencing msieve sqrt 03/27/20 03:02:00 v1.35-beta @ cerium, prp45 = 433535841869275965168300520704789607520874823 03/27/20 03:02:00 v1.35-beta @ cerium, prp72 = 268488916073501020668571666255268195362408461951530460350167560827651627 03/27/20 03:02:00 v1.35-beta @ cerium, NFS elapsed time = 7413.8790 seconds.
software ソフトウェア	GGNFS + YAFU v1.35-beta

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:08:43 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 43 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:53:34 UTC 2015 年 1 月 9 日 (金) 9 時 53 分 34 秒 (日本時間)
45	11e6	585 / 4409		Cyp	August 4, 2015 06:53:23 UTC 2015 年 8 月 4 日 (火) 15 時 53 分 23 秒 (日本時間)

7×10¹⁹²+1739

c155

name 名前	Robert Balfour
date 日付	July 9, 2020 16:30:20 UTC 2020 年 7 月 10 日 (金) 1 時 30 分 20 秒 (日本時間)
composite number 合成数	10538542711862262549425953733258842194626930636178324697377588590389121804097902235066109587716320946762024230794673892153621024047310486909681055991586801<155>
prime factors 素因数	30240600967160140197926235920836060516946539<44>
composite cofactor 合成数の残り	348489857172700390492310145958715509069914893838317122898100825884552547221788649519882200733435430380442519059<111>
factorization results 素因数分解の結果	GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM] Input number is 10538542711862262549425953733258842194626930636178324697377588590389121804097902235066109587716320946762024230794673892153621024047310486909681055991586801 (155 digits) Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:391304414 Step 1 took 57612ms Step 2 took 19488ms ********** Factor found in step 2: 30240600967160140197926235920836060516946539 Found prime factor of 44 digits: 30240600967160140197926235920836060516946539 Composite cofactor 348489857172700390492310145958715509069914893838317122898100825884552547221788649519882200733435430380442519059 has 111 digits

c111

name 名前	ivelive
date 日付	July 10, 2020 15:01:10 UTC 2020 年 7 月 11 日 (土) 0 時 1 分 10 秒 (日本時間)
composite number 合成数	348489857172700390492310145958715509069914893838317122898100825884552547221788649519882200733435430380442519059<111>
prime factors 素因数	102239275500994807873992521692601077181898649<45> 3408571270336413103333413096402012029336484343715805578740416958091<67>
factorization results 素因数分解の結果	07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c111: 348489857172700390492310145958715509069914893838317122898100825884552547221788649519882200733435430380442519059 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 2904017951, 1305570684 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ==== 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, n = 112 digits, 369 bits 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 231520 primes (max prime = 6794357) 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 1019153550 (150 * pmax) 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 46 to 54 bits 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 16399526874504742 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, allocating 12 large prime slices of factor base 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, using 32k sieve core 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 34 blocks of size 32768 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 15 factors 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 3 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 19 bits, starting at offset 27 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for trial division and x128 sieve scanning 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for resieving 13-16 bit primes 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 117 bits 07/10/20 02:00:42 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started (36 threads) ==== 07/10/20 05:52:27 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 667243796 sieve locations out of 45832736079872 07/10/20 05:52:27 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 6 failures, 2822321 attempts, 70116221 outside range, 14598900 prp, 2661936 useful 07/10/20 05:52:27 v1.34.5 @ DESKTOP-RJPVCOL, 236098 relations found: 53153 full + 182945 from 3478191 partial, using 20569178 polys (5029 A polys) 07/10/20 05:52:27 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 0.17 rels/poly and 253.96 rels/sec 07/10/20 05:52:27 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 667243796 sieve locations out of 45832736079872 07/10/20 05:52:27 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ==== 07/10/20 05:52:28 v1.34.5 @ DESKTOP-RJPVCOL, begin with 3531344 relations 07/10/20 05:52:29 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 637271 relations in 13 passes 07/10/20 05:52:30 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 108385 07/10/20 05:52:30 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 115512 07/10/20 05:52:31 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 132897 07/10/20 05:52:32 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 254005 07/10/20 05:52:32 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 264082 07/10/20 05:52:32 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 272949 07/10/20 05:52:33 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 384807 07/10/20 05:52:35 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 514038 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, recovered 637263 relations 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, recovered 627435 polynomials 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, freed 57 duplicate relations 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 236033 cycles 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, found 236033 cycles in 7 passes 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths: 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, length 1 : 53152 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, length 2 : 37650 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, length 3 : 38406 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, length 4 : 32450 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, length 5 : 25417 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, length 6 : 18416 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, length 7 : 12061 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, length 9+: 18481 07/10/20 05:52:36 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 24 relations 07/10/20 05:52:37 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 231520 x 236033 (82.0 MB) with weight 19618782 (83.12/col) 07/10/20 05:52:37 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 19618782 (83.12/col) 07/10/20 05:52:37 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes 07/10/20 05:52:37 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 223377 x 223441 (76.1 MB) with weight 18153456 (81.24/col) 07/10/20 05:52:37 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 18153456 (81.24/col) 07/10/20 05:52:38 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later 07/10/20 05:52:38 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 223329 x 223441 (66.6 MB) with weight 16362316 (73.23/col) 07/10/20 05:52:38 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 15226238 (68.14/col) 07/10/20 05:52:38 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows 07/10/20 05:52:38 v1.34.5 @ DESKTOP-RJPVCOL, using block size 65536 for processor cache size 12288 kB 07/10/20 05:52:39 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration 07/10/20 05:52:39 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 51.1 MB 07/10/20 05:55:12 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 3532 iterations (dim = 223329) 07/10/20 05:55:12 v1.34.5 @ DESKTOP-RJPVCOL, recovered 18 nontrivial dependencies 07/10/20 05:55:12 v1.34.5 @ DESKTOP-RJPVCOL, prp67 = 3408571270336413103333413096402012029336484343715805578740416958091 07/10/20 05:55:12 v1.34.5 @ DESKTOP-RJPVCOL, prp45 = 102239275500994807873992521692601077181898649 07/10/20 05:55:12 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 164.6410 seconds. 07/10/20 05:55:12 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.2520 seconds. 07/10/20 05:55:12 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 14070.1560 seconds.
software ソフトウェア	YAFU

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:08:43 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 43 秒 (日本時間)
45	11e6	585 / 4409	Cyp	June 18, 2015 06:03:45 UTC 2015 年 6 月 18 日 (木) 15 時 3 分 45 秒 (日本時間)

7×10¹⁹⁵+1739

c157

name 名前	Eric Jeancolas
date 日付	January 9, 2021 08:34:59 UTC 2021 年 1 月 9 日 (土) 17 時 34 分 59 秒 (日本時間)
composite number 合成数	9773442675514183974670372534862793429586942531334747085831484187482962330549756295973101425892161231280671284160499722314189212479304589815954323745119393097<157>
prime factors 素因数	490686854965650597009845220563098213666898622053213752790436377238837676597<75> 19917881591098158348165223319682570346154914403675971571735370427868363663298994501<83>
factorization results 素因数分解の結果	9773442675514183974670372534862793429586942531334747085831484187482962330549756295973101425892161231280671284160499722314189212479304589815954323745119393097=49068685496565059700984522056309821366689862205321375279043637723883767659719917881591098158348165223319682570346154914403675971571735370427868363663298994501 cado polynomial n: 9773442675514183974670372534862793429586942531334747085831484187482962330549756295973101425892161231280671284160499722314189212479304589815954323745119393097 skew: 1.90 type: snfs c0: 173 c5: 7 Y0: 1000000000000000000000000000000000000000 Y1: -1 # f(x) = 7x^5+173 # g(x) = -x+1000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 12900000 tasks.lim1 = 12900000 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.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 19917881591098158348165223319682570346154914403675971571735370427868363663298994501 490686854965650597009845220563098213666898622053213752790436377238837676597 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: 5.38/2.20202 Info:Generate Free Relations: Total cpu/real time for freerel: 101.82/26.3678 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 29403261 Info:Lattice Sieving: Average J: 1893.28 for 3546888 special-q, max bucket fill -bkmult 1.0,1s:1.126260 Info:Lattice Sieving: Total time: 929464s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.16/149.941 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 149.1s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 484.2/488.214 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 428.1000000000001s Info:Filtering - Singleton removal: Total cpu/real time for purge: 411.71/465.825 Info:Filtering - Merging: Merged matrix has 2691477 rows and total weight 459390423 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 390.21/112.243 Info:Filtering - Merging: Total cpu/real time for replay: 105.06/92.4332 Info:Linear Algebra: Total cpu/real time for bwc: 131838/33698.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 21839.1, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84480 iterations) Info:Linear Algebra: Lingen CPU time 546.33, WCT time 158.32 Info:Linear Algebra: Mksol: WCT time 11408.92, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 93.92/39.984 Info:Square Root: Total cpu/real time for sqrt: 688.9/220.934 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.86149e+06/75229.1 Info:root: Cleaning up computation data in /tmp/cado.z2rrqy0t 19917881591098158348165223319682570346154914403675971571735370427868363663298994501 490686854965650597009845220563098213666898622053213752790436377238837676597
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:08:44 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 44 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:20:24 UTC 2015 年 1 月 9 日 (金) 9 時 20 分 24 秒 (日本時間)
45	11e6	585 / 4409		Cyp	August 4, 2015 05:50:06 UTC 2015 年 8 月 4 日 (火) 14 時 50 分 6 秒 (日本時間)

7×10¹⁹⁶+1739

c194

name 名前	Ben Meekins
date 日付	November 15, 2015 21:53:48 UTC 2015 年 11 月 16 日 (月) 6 時 53 分 48 秒 (日本時間)
composite number 合成数	60292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060293<194>
prime factors 素因数	211727373937826312096333635392845452258028686508334948602497042322081833851142080701537<87> 284766442190089171144324243382145245363796927678792167822270258028295044697970151693584573022043464107415589<108>
factorization results 素因数分解の結果	Number: 77797_196 N = 60292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060293 (194 digits) SNFS difficulty: 197 digits. Divisors found: r1=211727373937826312096333635392845452258028686508334948602497042322081833851142080701537 (pp87) r2=284766442190089171144324243382145245363796927678792167822270258028295044697970151693584573022043464107415589 (pp108) Version: Msieve v. 1.53 (SVN unknown) Total time: 78.96 hours. Factorization parameters were as follows: n: 60292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060292850990525409130060293 m: 1000000000000000000000000000000000000000 deg: 5 c5: 70 c0: 173 skew: 1.20 # Murphy_E = 1.504e-11 type: snfs lss: 1 rlim: 13400000 alim: 13400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13400000/13400000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 26394664 Relations: 3159484 relations Pruned matrix : 2117446 x 2117672 Polynomial selection time: 0.00 hours. Total sieving time: 75.12 hours. Total relation processing time: 0.19 hours. Matrix solve time: 3.37 hours. time per square root: 0.28 hours. Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,200000 total time: 78.96 hours. x86_64 Linux-3.13.0-66-generic-x86_64-with-Ubuntu-14.04-trusty processors: 4, speed: 0.80GHz

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:08:44 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 44 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 10, 2015 20:08:54 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 54 秒 (日本時間)

7×10¹⁹⁷+1739

c197

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2401	300	Serge Batalov	January 9, 2015 00:08:45 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 45 秒 (日本時間)
			1	Cyp	January 9, 2015 01:02:04 UTC 2015 年 1 月 9 日 (金) 10 時 2 分 4 秒 (日本時間)
			2100	Serge Batalov	January 10, 2015 20:08:55 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 55 秒 (日本時間)
45	11e6	436		KTakahashi	March 8, 2015 01:22:49 UTC 2015 年 3 月 8 日 (日) 10 時 22 分 49 秒 (日本時間)
50	43e6	1000 / 7364		Serge Batalov	January 11, 2015 21:22:41 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 41 秒 (日本時間)

7×10¹⁹⁸+1739

c194

name 名前	Bob Backstrom
date 日付	March 17, 2021 01:35:21 UTC 2021 年 3 月 17 日 (水) 10 時 35 分 21 秒 (日本時間)
composite number 合成数	29819337414322653750633660920054356392200965294551155073334270512509212045308353248390820755962802506528304941064209553263726479997614453006854187699949307126395651488623922776435907594133258359<194>
prime factors 素因数	38378432129762845571426951264991304181884022051<47> 776981647230905740213063063055023900984587062056797998524376423103744215078494025426116613409277721165900510127007481553943966536241725789573514909<147>
factorization results 素因数分解の結果	Number: n N=29819337414322653750633660920054356392200965294551155073334270512509212045308353248390820755962802506528304941064209553263726479997614453006854187699949307126395651488623922776435907594133258359 ( 194 digits) SNFS difficulty: 198 digits. Divisors found: Wed Mar 17 12:26:18 2021 p47 factor: 38378432129762845571426951264991304181884022051 Wed Mar 17 12:26:18 2021 p147 factor: 776981647230905740213063063055023900984587062056797998524376423103744215078494025426116613409277721165900510127007481553943966536241725789573514909 Wed Mar 17 12:26:18 2021 elapsed time 01:27:41 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.343). Factorization parameters were as follows: # # N = 7x10^198+173 = 7(196)97 # n: 29819337414322653750633660920054356392200965294551155073334270512509212045308353248390820755962802506528304941064209553263726479997614453006854187699949307126395651488623922776435907594133258359 m: 1000000000000000000000000000000000 deg: 6 c6: 7 c0: 173 skew: 1.71 # Murphy_E = 1.128e-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 4051487 hash collisions in 27775513 relations (25556459 unique) Msieve: matrix is 1986841 x 1987066 (687.5 MB) Sieving start time : 2021/03/17 02:13:31 Sieving end time : 2021/03/17 10:58:04 Total sieving time: 8hrs 44min 33secs. Total relation processing time: 1hrs 16min 46sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 51sec. Prototype def-par.txt line would be: snfs,198,6,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000 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	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:08:46 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 46 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 10, 2015 20:08:56 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 56 秒 (日本時間)

7×10¹⁹⁹+1739

c191

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

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 403	Serge Batalov	January 9, 2015 00:08:46 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 46 秒 (日本時間)
45	11e6	555 / 4409	Cyp	January 30, 2015 18:05:39 UTC 2015 年 1 月 31 日 (土) 3 時 5 分 39 秒 (日本時間)

7×10²⁰⁰+1739

c182

name 名前	Eric Jeancolas
date 日付	March 10, 2021 04:48:58 UTC 2021 年 3 月 10 日 (水) 13 時 48 分 58 秒 (日本時間)
composite number 合成数	64126561622709022463489675685103390465967556792006047590790904951086410948681548976925622433664457943596428716002733552937837983586003999565202917348825675906366911968737907995841511<182>
prime factors 素因数	541440402747993017731994419455417414775454338434443976583<57> 118436971635742459127813750316563473431961625450489512923830099226675590553480127212074423632779333614776881054719878375981217<126>
factorization results 素因数分解の結果	64126561622709022463489675685103390465967556792006047590790904951086410948681548976925622433664457943596428716002733552937837983586003999565202917348825675906366911968737907995841511=541440402747993017731994419455417414775454338434443976583118436971635742459127813750316563473431961625450489512923830099226675590553480127212074423632779333614776881054719878375981217 cado polynomial n: 64126561622709022463489675685103390465967556792006047590790904951086410948681548976925622433664457943596428716002733552937837983586003999565202917348825675906366911968737907995841511 skew: 1.90 type: snfs c0: 173 c5: 7 Y0: 10000000000000000000000000000000000000000 Y1: -1 # f(x) = 7x^5+173 # g(x) = -x+10000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 15600000 tasks.lim1 = 15600000 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: 118436971635742459127813750316563473431961625450489512923830099226675590553480127212074423632779333614776881054719878375981217 541440402747993017731994419455417414775454338434443976583 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: 6.46/2.53634 Info:Generate Free Relations: Total cpu/real time for freerel: 203.02/52.2145 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 48409414 Info:Lattice Sieving: Average J: 1893.75 for 4469135 special-q, max bucket fill -bkmult 1.0,1s:1.077640 Info:Lattice Sieving: Total time: 1.38751e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.85/247.417 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 246.29999999999998s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 814.74/710.955 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 609.6999999999998s Info:Filtering - Singleton removal: Total cpu/real time for purge: 631.52/697.863 Info:Filtering - Merging: Merged matrix has 3496401 rows and total weight 594669641 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 499.7/144.747 Info:Filtering - Merging: Total cpu/real time for replay: 137.9/120.679 Info:Linear Algebra: Total cpu/real time for bwc: 224973/57488.5 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 36793.61, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (109568 iterations) Info:Linear Algebra: Lingen CPU time 778.09, WCT time 224.19 Info:Linear Algebra: Mksol: WCT time 20038.25, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (54784 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 126.72/52.9665 Info:Square Root: Total cpu/real time for sqrt: 941.06/298.637 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.68548e+06/174662 Info:root: Cleaning up computation data in /tmp/cado.ofemll69 118436971635742459127813750316563473431961625450489512923830099226675590553480127212074423632779333614776881054719878375981217 541440402747993017731994419455417414775454338434443976583
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:08:47 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 47 秒 (日本時間)
45	11e6	585 / 4409	Cyp	June 12, 2015 22:43:10 UTC 2015 年 6 月 13 日 (土) 7 時 43 分 10 秒 (日本時間)

7×10²⁰¹+1739

c150

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

c114

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301 / 2318	300	Serge Batalov	January 9, 2015 00:08:47 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 47 秒 (日本時間)
40	3e6	301 / 2318	1	Cyp	January 9, 2015 00:57:55 UTC 2015 年 1 月 9 日 (金) 9 時 57 分 55 秒 (日本時間)

7×10²⁰²+1739

c193

name 名前	Bob Backstrom
date 日付	May 5, 2021 10:14:54 UTC 2021 年 5 月 5 日 (水) 19 時 14 分 54 秒 (日本時間)
composite number 合成数	6504720685671758689419011377311331914393748810058340588004174886964455565535664871458633418690852181618052394685270720914795341065658173805144472471083566429046627423261175426941112618949040603<193>
prime factors 素因数	2834252921299575761894042101787142998284369659570959<52> 2295038892537925575136243709497330717582645952963658727140917098417903166585706516025922309971272370046307146162951908938330873939930988057717<142>
factorization results 素因数分解の結果	# # N = 7x10^202+173 = 7(200)97 # n: 6504720685671758689419011377311331914393748810058340588004174886964455565535664871458633418690852181618052394685270720914795341065658173805144472471083566429046627423261175426941112618949040603 m: 10000000000000000000000000000000000000000 deg: 5 c5: 700 c0: 173 skew: 0.76 # Murphy_E = 8.913e-12 type: snfs lss: 1 rlim: 16800000 alim: 16800000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 6504720685671758689419011377311331914393748810058340588004174886964455565535664871458633418690852181618052394685270720914795341065658173805144472471083566429046627423261175426941112618949040603 (193 digits) Using B1=50230000, B2=288591693406, polynomial Dickson(12), sigma=1:2334629016 Step 1 took 165988ms Step 2 took 52314ms ********** Factor found in step 2: 2834252921299575761894042101787142998284369659570959 Found prime factor of 52 digits: 2834252921299575761894042101787142998284369659570959 Prime cofactor 2295038892537925575136243709497330717582645952963658727140917098417903166585706516025922309971272370046307146162951908938330873939930988057717 has 142 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:08:48 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 48 秒 (日本時間)
45	11e6	585 / 4409	Cyp	August 4, 2015 09:55:16 UTC 2015 年 8 月 4 日 (火) 18 時 55 分 16 秒 (日本時間)

7×10²⁰³+1739

c203

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

c173

name 名前	Bob Backstrom
date 日付	November 21, 2021 04:40:19 UTC 2021 年 11 月 21 日 (日) 13 時 40 分 19 秒 (日本時間)
composite number 合成数	38837114574513445043806666818638006279969884243588159959043927875579891521574137761414174949150877426304493480014300293113467555097766569053094917715868224560492763999137841<173>
prime factors 素因数	854561436213308913606198042774152605983204731621661873816490049<63> 45446837323489085631399351795071992944296645126570461353000016918767626303747629790279919054870027383893402609<110>
factorization results 素因数分解の結果	Number: n N=38837114574513445043806666818638006279969884243588159959043927875579891521574137761414174949150877426304493480014300293113467555097766569053094917715868224560492763999137841 ( 173 digits) SNFS difficulty: 203 digits. Divisors found: Sun Nov 21 15:33:28 2021 p63 factor: 854561436213308913606198042774152605983204731621661873816490049 Sun Nov 21 15:33:28 2021 p110 factor: 45446837323489085631399351795071992944296645126570461353000016918767626303747629790279919054870027383893402609 Sun Nov 21 15:33:28 2021 elapsed time 02:26:48 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.351). Factorization parameters were as follows: # # N = 7x10^203+173 = 7(201)97 # n: 38837114574513445043806666818638006279969884243588159959043927875579891521574137761414174949150877426304493480014300293113467555097766569053094917715868224560492763999137841 m: 10000000000000000000000000000000000000000 deg: 5 c5: 7000 c0: 173 skew: 0.48 # Murphy_E = 6.643e-12 type: snfs lss: 1 rlim: 17500000 alim: 17500000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17500000/17500000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 57550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 11717520 hash collisions in 67800119 relations (58181830 unique) Msieve: matrix is 2517570 x 2517795 (869.3 MB) Sieving start time : 2021/11/20 16:24:05 Sieving end time : 2021/11/21 13:05:03 Total sieving time: 20hrs 40min 58secs. Total relation processing time: 2hrs 6min 24sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 30sec. Prototype def-par.txt line would be: snfs,203,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117806] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239948K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487288K reserved, 0K cma-reserved) [ 0.152615] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798284) [ 0.150213] smpboot: Total of 16 processors activated (102386.27 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:08:48 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 48 秒 (日本時間)
45	11e6	585 / 4409	Cyp	August 4, 2015 04:21:59 UTC 2015 年 8 月 4 日 (火) 13 時 21 分 59 秒 (日本時間)

7×10²⁰⁶+1739

c135

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2650	300	Serge Batalov	January 9, 2015 00:08:49 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 49 秒 (日本時間)
40	3e6	2650	2350	Ignacio Santos	February 6, 2015 13:11:40 UTC 2015 年 2 月 6 日 (金) 22 時 11 分 40 秒 (日本時間)

7×10²⁰⁷+1739

c180

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

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 1566	Serge Batalov	January 9, 2015 00:08:49 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 49 秒 (日本時間)
45	11e6	218 / 4409	Cyp	February 8, 2015 09:50:01 UTC 2015 年 2 月 8 日 (日) 18 時 50 分 1 秒 (日本時間)

7×10²⁰⁸+1739

c167

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

c131

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2931	300	Serge Batalov	January 9, 2015 00:08:50 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 50 秒 (日本時間)
			281	Cyp	January 9, 2015 01:04:50 UTC 2015 年 1 月 9 日 (金) 10 時 4 分 50 秒 (日本時間)
			2350	Ignacio Santos	February 3, 2015 23:21:51 UTC 2015 年 2 月 4 日 (水) 8 時 21 分 51 秒 (日本時間)

7×10²¹²+1739

c184

composite cofactor 合成数の残り	1071347147127375514350943355366646588719088550771993047384640559138293927152712349563629051906947828234681467036483433448343446582643331839855072303969890663746772359948225317119355243<184>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:08:50 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 50 秒 (日本時間)
45	11e6	585 / 4409	Cyp	August 3, 2015 19:47:43 UTC 2015 年 8 月 4 日 (火) 4 時 47 分 43 秒 (日本時間)

7×10²¹³+1739

c159

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	581 / 1794	300	Serge Batalov	January 9, 2015 00:08:51 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 51 秒 (日本時間)
40	3e6	581 / 1794	281	Cyp	January 9, 2015 01:28:26 UTC 2015 年 1 月 9 日 (金) 10 時 28 分 26 秒 (日本時間)
45	11e6	152 / 4347		Cyp	May 26, 2015 16:50:08 UTC 2015 年 5 月 27 日 (水) 1 時 50 分 8 秒 (日本時間)

7×10²¹⁴+1739

c161

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301 / 2318	300	Serge Batalov	January 9, 2015 00:08:52 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 52 秒 (日本時間)
40	3e6	301 / 2318	1	Cyp	January 9, 2015 00:34:58 UTC 2015 年 1 月 9 日 (金) 9 時 34 分 58 秒 (日本時間)

7×10²¹⁵+1739

c192

name 名前	Seth Troisi
date 日付	January 2, 2024 18:57:23 UTC 2024 年 1 月 3 日 (水) 3 時 57 分 23 秒 (日本時間)
composite number 合成数	610860429459360962632535977087884231182408926992813666040160784954432516975350142374523444099560323896331312938310692470596524184743878284798134240577533477264617423362204749058099487196355483<192>
prime factors 素因数	473803826426357666171023287778493409291094965317<48>
composite cofactor 合成数の残り	1289268670679057330225939314815118066721508634206648550573858679455254650581933211551135277655419772767819038188123838259972730156983891227682399<145>
factorization results 素因数分解の結果	Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Mon Nov 20 06:36:51 2023 Input number is 610860429459360962632535977087884231182408926992813666040160784954432516975350142374523444099560323896331312938310692470596524184743878284798134240577533477264617423362204749058099487196355483 (192 digits) Using mpz_mod Using lmax = 16777216 with NTT which takes about 4608MB of memory Using B1=4000000000-4000000000, B2=2114508355760232, polynomial x^1 P = 111546435, l = 16777216, s_1 = 7299072, k = s_2 = 5, m_1 = 13 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.77 0.5 0.25 0.11 0.04 0.013 0.0039 0.0011 0.00026 6.1e-05 Step 1 took 0ms Computing F from factored S_1 took 78928ms Computing h took 8499ms Computing DCT-I of h took 26299ms Multi-point evaluation 1 of 5: Computing g_i took 31242ms Computing gh took 54498ms Computing gcd of coefficients and N took 13130ms Step 2 took 213067ms ********* Factor found in step 2: 473803826426357666171023287778493409291094965317 Found prime factor of 48 digits: 473803826426357666171023287778493409291094965317 Composite cofactor 1289268670679057330225939314815118066721508634206648550573858679455254650581933211551135277655419772767819038188123838259972730156983891227682399 has 145 digits
software ソフトウェア	GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境	1080 Ti for PM1 stage1

c145

name 名前	Bob Backstrom
date 日付	March 16, 2024 20:56:33 UTC 2024 年 3 月 17 日 (日) 5 時 56 分 33 秒 (日本時間)
composite number 合成数	1289268670679057330225939314815118066721508634206648550573858679455254650581933211551135277655419772767819038188123838259972730156983891227682399<145>
prime factors 素因数	6559417369163564106364541544459164934766289181666427407581032867<64> 196552315262027722088410396763680381963721306264000461357228019177067880172542997<81>
factorization results 素因数分解の結果	CADO: STA:Fri 15 Mar 2024 00:32:12 AEDT (1289268670679057330225939314815118066721508634206648550573858679455254650581933211551135277655419772767819038188123838259972730156983891227682399 - C145) /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 1289268670679057330225939314815118066721508634206648550573858679455254650581933211551135277655419772767819038188123838259972730156983891227682399 2>&1 \| tee -a log-50 Debug:root: Looking for parameter file for c145 in directory /home/vboxuser/Math/cado-nfs/parameters/factor Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145 Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.33v6tz9p Info:Database: Opened connection to database /tmp/cado.33v6tz9p/c145.db Info:root: Set tasks.threads=20 based on --server-threads 20 Info:root: tasks.threads = 20 [via tasks.threads] Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads] Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads] Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads] Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads] Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 1289268670679057330225939314815118066721508634206648550573858679455254650581933211551135277655419772767819038188123838259972730156983891227682399 Debug:root: Root parameter dictionary: N = 1289268670679057330225939314815118066721508634206648550573858679455254650581933211551135277655419772767819038188123838259972730156983891227682399 name = c145 === Info:Polynomial Selection (root optimized): Finished, best polynomial has Murphy_E = 5.057e-07 Info:Polynomial Selection (root optimized): Best polynomial is: n: 1289268670679057330225939314815118066721508634206648550573858679455254650581933211551135277655419772767819038188123838259972730156983891227682399 skew: 921575.922 c0: -17255644013066331362432483055996624 c1: -46824324906958991973570715030 c2: 39507820349447092336902 c3: -77842073605693039 c4: 68966009198 c5: 36960 Y0: -7557197870090850510989228185 Y1: 2585947910821661405879 # MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=2.684e+14) = 5.057e-07 # f(x) = 36960x^5+68966009198x^4-77842073605693039x^3+39507820349447092336902x^2-46824324906958991973570715030x-17255644013066331362432483055996624 # g(x) = 2585947910821661405879x-7557197870090850510989228185 === Debug:Command: Process with PID 409437 finished successfully Info:Square Root: finished Info:Square Root: Factors: 6559417369163564106364541544459164934766289181666427407581032867 196552315262027722088410396763680381963721306264000461357228019177067880172542997 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 5126.27/598.028 Info:HTTP server: Got notification to stop serving Workunits Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 5973.66 Info:Polynomial Selection (root optimized): Rootsieve time: 5969.3 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 85024322 Info:Lattice Sieving: Average J: 8014.43 for 410244 special-q, max bucket fill -bkmult 1.0,1s:1.201280 Info:Lattice Sieving: Total time: 1.59312e+06s Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 133692 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 92663/43.160/53.878/66.650/2.447 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78958/42.180/46.734/57.440/1.316 Info:Polynomial Selection (size optimized): Total time: 133883 Info:Square Root: Total cpu/real time for sqrt: 5126.27/598.028 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1658.61/1363.08 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 941.2s Info:Generate Factor Base: Total cpu/real time for makefb: 18.22/4.22086 Info:Quadratic Characters: Total cpu/real time for characters: 122.49/28.4517 Info:Filtering - Singleton removal: Total cpu/real time for purge: 673.14/155.24 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 1066.57/3384.26 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 3383.7s Info:Filtering - Merging: Total cpu/real time for merge: 536.54/136.696 Info:Filtering - Merging: Total cpu/real time for replay: 51.46/46.8415 Info:Generate Free Relations: Total cpu/real time for freerel: 1375.49/103.577 Info:Linear Algebra: Total cpu/real time for bwc: 86431.7/17645.4 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 43005.44, WCT time 10383.13, iteration CPU time 0.05, COMM 0.06, cpu-wait 0.02, comm-wait 0.01 (72000 iterations) Info:Linear Algebra: Lingen CPU time 8438.67, WCT time 706.29 Info:Linear Algebra: Mksol: CPU time 30156.04, WCT time 5743.1, iteration CPU time 0.07, COMM 0.06, cpu-wait 0.02, comm-wait 0.0 (36000 iterations) Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 2.44902e+06/194445 [2d 06:00:45] Info:root: Cleaning up computation data in /tmp/cado.33v6tz9p 6559417369163564106364541544459164934766289181666427407581032867 196552315262027722088410396763680381963721306264000461357228019177067880172542997 END:Sun 17 Mar 2024 06:33:01 AEDT (1289268670679057330225939314815118066721508634206648550573858679455254650581933211551135277655419772767819038188123838259972730156983891227682399 - C145)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	January 9, 2015 00:08:52 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 52 秒 (日本時間)
45	11e6	5065	585	Cyp	August 3, 2015 18:50:52 UTC 2015 年 8 月 4 日 (火) 3 時 50 分 52 秒 (日本時間)
45	11e6	5065	4480	Ignacio Santos	January 5, 2024 15:47:41 UTC 2024 年 1 月 6 日 (土) 0 時 47 分 41 秒 (日本時間)
50	43e6	6454		Ignacio Santos	January 8, 2024 08:22:23 UTC 2024 年 1 月 8 日 (月) 17 時 22 分 23 秒 (日本時間)

7×10²¹⁷+1739

c193

composite cofactor 合成数の残り	2262260735721968705575717869448187318530914431532823522248982570502625516444737642331550052830718418856806881655132942622738222436469159519707119420388711470206663683909218519380864351540494627<193>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:08:53 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 53 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:40:30 UTC 2015 年 1 月 9 日 (金) 9 時 40 分 30 秒 (日本時間)
45	11e6	585 / 4409		Cyp	June 18, 2015 19:18:30 UTC 2015 年 6 月 19 日 (金) 4 時 18 分 30 秒 (日本時間)

7×10²¹⁸+1739

c197

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

c166

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

c122

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

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:08:53 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 53 秒 (日本時間)
45	11e6	585 / 4409	Cyp	June 12, 2015 19:55:28 UTC 2015 年 6 月 13 日 (土) 4 時 55 分 28 秒 (日本時間)

7×10²¹⁹+1739

c195

name 名前	Erik Branger
date 日付	January 6, 2020 15:24:55 UTC 2020 年 1 月 7 日 (火) 0 時 24 分 55 秒 (日本時間)
composite number 合成数	322228224569455106730370867561938322849375567577748372247769210410523022443376571128239955568851184568901813360621743655513344928072107634186354379995161662468474305096575179848802692314113390783<195>
prime factors 素因数	150671290937993218474531715209682784925479911476080988678283176219124057624484555775648847<90> 2138617267851404289252600758753151015877474752363707046541637908762569678283117254353786831598504871942289<106>
factorization results 素因数分解の結果	Number: 77797_219 N = 322228224569455106730370867561938322849375567577748372247769210410523022443376571128239955568851184568901813360621743655513344928072107634186354379995161662468474305096575179848802692314113390783 (195 digits) SNFS difficulty: 221 digits. Divisors found: r1=150671290937993218474531715209682784925479911476080988678283176219124057624484555775648847 (pp90) r2=2138617267851404289252600758753151015877474752363707046541637908762569678283117254353786831598504871942289 (pp106) Version: Msieve v. 1.52 (SVN unknown) Total time: 70.60 hours. Factorization parameters were as follows: n: 322228224569455106730370867561938322849375567577748372247769210410523022443376571128239955568851184568901813360621743655513344928072107634186354379995161662468474305096575179848802692314113390783 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 7 c0: 1730 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 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 33243822 Relations: 9817866 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 34.06 hours. Total relation processing time: 0.37 hours. Pruned matrix : 8321247 x 8321472 Matrix solve time: 35.93 hours. time per square root: 0.23 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 70.60 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	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:08:54 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 54 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:39:31 UTC 2015 年 1 月 9 日 (金) 9 時 39 分 31 秒 (日本時間)
45	11e6	585 / 4409		Cyp	May 17, 2015 18:30:49 UTC 2015 年 5 月 18 日 (月) 3 時 30 分 49 秒 (日本時間)

7×10²²⁰+1739

c184

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:08:54 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 54 秒 (日本時間)

7×10²²¹+1739

c198

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

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 1090	Serge Batalov	January 9, 2015 00:08:55 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 55 秒 (日本時間)
45	11e6	356 / 4409	Cyp	June 20, 2015 06:56:13 UTC 2015 年 6 月 20 日 (土) 15 時 56 分 13 秒 (日本時間)

7×10²²³+1739

c154

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:08:55 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 55 秒 (日本時間)

7×10²²⁴+1739

c223

name 名前	Bob Backstrom
date 日付	September 1, 2018 14:13:20 UTC 2018 年 9 月 1 日 (土) 23 時 13 分 20 秒 (日本時間)
composite number 合成数	3381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990339<223>
prime factors 素因数	7430141921845567865248979760769543256429756554380951100673155002846374843585053536777771730261759<97> 455124888279029106015720626637093600450667326071539305109634465540867832529450738848161852760044925345203864136096894758882621<126>
factorization results 素因数分解の結果	Number: n N=3381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990339 ( 223 digits) SNFS difficulty: 224 digits. Divisors found: Sun Sep 2 00:03:49 2018 p97 factor: 7430141921845567865248979760769543256429756554380951100673155002846374843585053536777771730261759 Sun Sep 2 00:03:49 2018 p126 factor: 455124888279029106015720626637093600450667326071539305109634465540867832529450738848161852760044925345203864136096894758882621 Sun Sep 2 00:03:49 2018 elapsed time 10:53:34 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.120). Factorization parameters were as follows: # # N = 7x10^224+173 = 7(222)97 # n: 3381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990339 m: 10000000000000000000000000000000000000 deg: 6 c6: 700 c0: 173 skew: 0.79 # Murphy_E = 1.496e-12 type: snfs lss: 1 rlim: 39000000 alim: 39000000 lpbr: 29 lpba: 29 mfbr: 59 mfba: 59 rlambda: 2.6 alambda: 2.6 Factor base limits: 39000000/39000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 59/59 Sieved special-q in [100000, 203500000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 21649591 hash collisions in 100590862 relations (79222473 unique) Msieve: matrix is 4856367 x 4856614 (1619.0 MB) Sieving start time: 2018/08/27 15:20:51 Sieving end time : 2018/09/01 13:03:33 Total sieving time: 117hrs 42min 42secs. Total relation processing time: 9hrs 53min 6sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 10min 25sec. Prototype def-par.txt line would be: snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16285192K/16703460K available (12300K kernel code, 2470K rwdata, 4244K rodata, 2408K init, 2416K bss, 418268K reserved, 0K cma-reserved) [ 0.076560] x86/mm: Memory block size: 128MB [ 0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.34 BogoMIPS (lpj=11976684) [ 0.074216] smpboot: Total of 16 processors activated (95813.47 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:08:56 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 56 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 10, 2015 08:39:49 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 49 秒 (日本時間)

7×10²²⁵+1739

c187

composite cofactor 合成数の残り	3886456951968482433488977750205085586833980471723374499723777131369662614076955825833951425753009579200203050662699975925236192001410013407036046644345163646748527761154815853283705696793<187>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	301	300	Serge Batalov	January 9, 2015 00:08:56 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 56 秒 (日本時間)
40	3e6	301	1	Cyp	January 9, 2015 00:15:28 UTC 2015 年 1 月 9 日 (金) 9 時 15 分 28 秒 (日本時間)
45	11e6	585 / 4409		Cyp	January 24, 2015 23:16:38 UTC 2015 年 1 月 25 日 (日) 8 時 16 分 38 秒 (日本時間)

7×10²²⁷+1739

c177

composite cofactor 合成数の残り	364448526551569833011239066207253795385167538626894442746035628840294001690356536895606540250310672101355180611404990884546224564432004865880729918322606074507834190977195561811<177>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	1900	300	Serge Batalov	January 9, 2015 00:08:57 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 57 秒 (日本時間)
40	3e6	1900	1600	Serge Batalov	June 18, 2015 05:37:32 UTC 2015 年 6 月 18 日 (木) 14 時 37 分 32 秒 (日本時間)
45	11e6	200 / 4055		Serge Batalov	June 18, 2015 05:37:21 UTC 2015 年 6 月 18 日 (木) 14 時 37 分 21 秒 (日本時間)

7×10²³⁰+1739

c218

composite cofactor 合成数の残り

51255654285963469814665415478180922502934942564750582443506716563273345732460447828230876549165598180350861219866590396247118577942809825021795338776763327298695299904446362401945366955629236451450481232244648841829931<218>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:08:57 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 57 秒 (日本時間)
45	11e6	585 / 4409	Cyp	August 3, 2015 22:55:49 UTC 2015 年 8 月 4 日 (火) 7 時 55 分 49 秒 (日本時間)

7×10²³¹+1739

c210

composite cofactor 合成数の残り

403584705170378361659925752436756531320371780553099362270161492695098138046069370513625674679806079478938103195041977454026858475950134332676999296921428991613652754371079727004634919289742082058126591182101403<210>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:08:58 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 58 秒 (日本時間)
45	11e6	585 / 4409	Cyp	June 28, 2015 21:34:40 UTC 2015 年 6 月 29 日 (月) 6 時 34 分 40 秒 (日本時間)

7×10²³²+1739

c224

composite cofactor 合成数の残り

24390180870393200102311791342663279256605489113967680035441525132476687254498478531283879256957334894580866513488874373874135531545910287102230161240032781420508781911625282743999264026989098195769575601762286316767382765269<224>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:08:59 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 59 秒 (日本時間)
45	11e6	585 / 4409	Cyp	August 3, 2015 23:00:53 UTC 2015 年 8 月 4 日 (火) 8 時 0 分 53 秒 (日本時間)

7×10²³³+1739

c183

composite cofactor 合成数の残り	184005496704050029594938891850757127864857513376625118923863098818004486864817740886189094933710436935578205068679880325203866467709740922449351177699821233009684052400022942056104873<183>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:08:59 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 59 秒 (日本時間)
45	11e6	585 / 4409	Cyp	August 3, 2015 18:49:00 UTC 2015 年 8 月 4 日 (火) 3 時 49 分 0 秒 (日本時間)

7×10²³⁴+1739

c175

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

c136

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

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:09:00 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 0 秒 (日本時間)
45	11e6	585 / 4409	Cyp	May 23, 2015 12:57:52 UTC 2015 年 5 月 23 日 (土) 21 時 57 分 52 秒 (日本時間)

7×10²³⁸+1739

c235

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2401	300	Serge Batalov	January 9, 2015 00:09:00 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 0 秒 (日本時間)
			1	Cyp	January 9, 2015 01:01:04 UTC 2015 年 1 月 9 日 (金) 10 時 1 分 4 秒 (日本時間)
			2100	Serge Batalov	January 9, 2015 21:35:08 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 8 秒 (日本時間)

7×10²³⁹+1739

c236

composite cofactor 合成数の残り

18514110396995424369859028273691449125869501970430320823084450792139437700018514110396995424369859028273691449125869501970430320823084450792139437700018514110396995424369859028273691449125869501970430320823084450792139437700018514110397<236>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:09:01 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 1 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 9, 2015 21:35:10 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 10 秒 (日本時間)

7×10²⁴⁰+1739

c222

composite cofactor 合成数の残り

186050606086341094402175103709938700387721958568902080789691988563824690834574050650832029825137362637518443015507000703604432008426647322062443965645348597421682961587332581268630366215856009525035453924850037678419400409<222>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:09:01 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 1 秒 (日本時間)
45	11e6	585 / 4409	Cyp	June 24, 2015 06:04:43 UTC 2015 年 6 月 24 日 (水) 15 時 4 分 43 秒 (日本時間)

7×10²⁴³+1739

c213

composite cofactor 合成数の残り

712317481230887575920242247644649692073869815853037348350595638708684415844733134310815100838642659872114959078272007921662562481092151504728573734529156028077458993445397214121931321076545557053112989112939771299<213>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	581	300	Serge Batalov	January 9, 2015 00:09:02 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 2 秒 (日本時間)
40	3e6	581	281	Cyp	January 9, 2015 00:53:53 UTC 2015 年 1 月 9 日 (金) 9 時 53 分 53 秒 (日本時間)
45	11e6	504 / 4347		Cyp	August 3, 2015 20:42:54 UTC 2015 年 8 月 4 日 (火) 5 時 42 分 54 秒 (日本時間)

7×10²⁴⁴+1739

c219

composite cofactor 合成数の残り

964844242470568159571499994231308120235392312501056492396653069984101246344570992463777758832772389887984487280380913601690113506444462191777774241218081434691517415132200502787704262429330842785678825925884665248490013<219>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:09:02 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 2 秒 (日本時間)
45	11e6	585 / 4409	Cyp	August 3, 2015 22:55:26 UTC 2015 年 8 月 4 日 (火) 7 時 55 分 26 秒 (日本時間)

7×10²⁴⁵+1739

c245

name 名前	NFS@Home + Greg Childers
date 日付	March 3, 2022 13:10:01 UTC 2022 年 3 月 3 日 (木) 22 時 10 分 1 秒 (日本時間)
composite number 合成数	77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797<245>
prime factors 素因数	37829188773303163572546892548202020846907692861236542711<56> 421076051983384643164855796751984549071323689956638437217269528859321<69> 4882789028635792026413305378586359581181455957360847552903030662693114180774058209921036906735240074324695215792827073787<121>
factorization results 素因数分解の結果	p56 factor: 37829188773303163572546892548202020846907692861236542711 p69 factor: 421076051983384643164855796751984549071323689956638437217269528859321 p121 factor: 4882789028635792026413305378586359581181455957360847552903030662693114180774058209921036906735240074324695215792827073787 Complete log at: https://pastebin.com/qtWb71Wf
software ソフトウェア	GGNFS + Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:09:03 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 3 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 9, 2015 18:41:17 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 17 秒 (日本時間)
45	11e6	2100		Serge Batalov	January 9, 2015 20:57:04 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 4 秒 (日本時間)
50	43e6	7000	1000	Serge Batalov	January 11, 2015 21:22:46 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 46 秒 (日本時間)
			3000	Dmitry Domanov	April 26, 2017 15:42:43 UTC 2017 年 4 月 27 日 (木) 0 時 42 分 43 秒 (日本時間)
			1200	Dmitry Domanov	May 1, 2017 17:58:02 UTC 2017 年 5 月 2 日 (火) 2 時 58 分 2 秒 (日本時間)
			1800	Dmitry Domanov	May 2, 2017 13:34:59 UTC 2017 年 5 月 2 日 (火) 22 時 34 分 59 秒 (日本時間)
55	11e7	23200	8000	yoyo@Home	May 11, 2020 14:35:39 UTC 2020 年 5 月 11 日 (月) 23 時 35 分 39 秒 (日本時間)
55	11e7	23200	15200	yoyo@Home	February 23, 2022 22:17:30 UTC 2022 年 2 月 24 日 (木) 7 時 17 分 30 秒 (日本時間)

7×10²⁴⁶+1739

c236

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	January 9, 2015 00:09:04 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 4 秒 (日本時間)

7×10²⁴⁹+1739

c244

composite cofactor 合成数の残り

1103454711775264738489903310569062629409621778286628036293571288612836047280196944596957649250525677942870366298097029294988597371917676603591618977718569550671665001238233822999243502976884357788569564858939866920209032155143210293403878769421<244>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	2400	300	Serge Batalov	January 9, 2015 00:09:04 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 4 秒 (日本時間)
40	3e6	2400	2100	Serge Batalov	January 9, 2015 18:41:19 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 19 秒 (日本時間)
45	11e6	3950	2100	Serge Batalov	January 9, 2015 20:57:05 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 5 秒 (日本時間)
45	11e6	3950	1850	Serge Batalov	March 18, 2015 22:33:20 UTC 2015 年 3 月 19 日 (木) 7 時 33 分 20 秒 (日本時間)

7×10²⁵⁰+1739

c224

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

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	January 9, 2015 00:09:05 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 5 秒 (日本時間)
45	11e6	600 / 2725	Dmitry Domanov	April 21, 2015 10:57:46 UTC 2015 年 4 月 21 日 (火) 19 時 57 分 46 秒 (日本時間)
50	43e6	480 / 7407	Dmitry Domanov	June 7, 2015 21:06:59 UTC 2015 年 6 月 8 日 (月) 6 時 6 分 59 秒 (日本時間)

7×10²⁵¹+1739

c241

composite cofactor 合成数の残り

4464836946557527505270391774075175970531741774703052276898362441077604141597534064058716354167144860669796876428390735604223185145199836147660967813407027932236526904169578630851605319261258432907037335785889342107770943508184411082001128777<241>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁵³+1739

c249

composite cofactor 合成数の残り

848083936078702189268103563164080010661626624989398950799016222634148705460448999866729667187632513115012297217073141181744387501665879160154593586062346284786585735228195156229176510498067580174220671440167678309647560547135293618774155247822241607<249>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁵⁴+1739

c252

composite cofactor 合成数の残り

121338186860807765643959091697001213381868608077656439590916970012133818686080776564395909169700121338186860807765643959091697001213381868608077656439590916970012133818686080776564395909169700121338186860807765643959091697001213381868608077656439590917<252>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁵⁵+1739

c255

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

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
45	11e6	2400 / 3928		Dmitry Domanov	November 4, 2018 17:19:32 UTC 2018 年 11 月 5 日 (月) 2 時 19 分 32 秒 (日本時間)

7×10²⁵⁶+1739

c180

composite cofactor 合成数の残り	107292603968110206070385098310141709975715429011555869367347350620200179985481301601676415612244265949439830675750825803151329930354364827729839304116010124599658643454265096087459<180>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁵⁷+1739

c257

name 名前	yoyo@Home
date 日付	March 11, 2024 23:18:46 UTC 2024 年 3 月 12 日 (火) 8 時 18 分 46 秒 (日本時間)
composite number 合成数	77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797<257>
prime factors 素因数	8170238349962973192458073130948035330472412499389<49>
composite cofactor 合成数の残り	9519646116337629229922608406696143355976756830847562364274697870631426488174827408817926313823469255540807820620468755839631940332229509649852706435059008829670998751203523451843812714883701912208291846701673<208>
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 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797 (257 digits) [Tue Mar 12 04:10:08 2024] Using MODMULN [mulredc:0, sqrredc:1] Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:6239853119252052693 dF=131072, k=4, d=1345890, d2=11, i0=71 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 34 135 614 3135 17884 111314 752662 5482978 4.3e+07 3.6e+08 Writing checkpoint to checkpnt at p = 110000000 Step 1 took 505297ms Using 31 small primes for NTT Estimated memory usage: 700.20MB Initializing tables of differences for F took 344ms Computing roots of F took 14438ms Building F from its roots took 7329ms Computing 1/F took 2735ms Initializing table of differences for G took 281ms Found factor while computing G[] Computing roots of G took 6172ms Step 2 took 31984ms ********** Factor found in step 2: 8170238349962973192458073130948035330472412499389 Found prime factor of 49 digits: 8170238349962973192458073130948035330472412499389 Composite cofactor 9519646116337629229922608406696143355976756830847562364274697870631426488174827408817926313823469255540807820620468755839631940332229509649852706435059008829670998751203523451843812714883701912208291846701673 has 208 digits Peak memory usage: 772MB
software ソフトウェア	GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
45	11e6	2400		Dmitry Domanov	November 5, 2018 21:34:06 UTC 2018 年 11 月 6 日 (火) 6 時 34 分 6 秒 (日本時間)
50	43e6	5440	440	Dmitry Domanov	January 6, 2019 09:43:16 UTC 2019 年 1 月 6 日 (日) 18 時 43 分 16 秒 (日本時間)
			2000	NFS@home + Dmitry Domanov	November 10, 2020 18:10:19 UTC 2020 年 11 月 11 日 (水) 3 時 10 分 19 秒 (日本時間)
			3000	NFS@home + Dmitry Domanov	November 15, 2020 16:56:22 UTC 2020 年 11 月 16 日 (月) 1 時 56 分 22 秒 (日本時間)
55	11e7	620 / 15658		Dmitry Domanov	November 23, 2020 00:02:47 UTC 2020 年 11 月 23 日 (月) 9 時 2 分 47 秒 (日本時間)

7×10²⁵⁸+1739

c201

composite cofactor 合成数の残り

168005106663836006751912698684827403132987342139417090570355684713424746988675051121085501047822417336203957336093514310790215588730498321053995235020334448726476022578516599177804948800056212222851501<201>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁶⁰+1739

c253

composite cofactor 合成数の残り

5294238377938539595083186363385162338781838254407319202874965057081305895292504666133718378752642193656478366263382596145808074616572159595541969934821950641407189804125810556404259783527517299358783780937364115336132669438866018913575846813239471327339<253>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁶¹+1739

c252

composite cofactor 合成数の残り

870351810760408431650390696768812051639873283425841118741872120923535384279005308978565082906537330607096537103859312718613281520166041570608812582415221557553319076416134638415876956339328473393512936449831554615915285812456940206743441242891739002361<252>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁶²+1739

c249

composite cofactor 合成数の残り

286516598681848219770391199698938052186301102242104721909228094835829767389446491346778632779259033332204217623641420067503914786964619061124116625072239773540125650202387837644312271572919689835299986134681901017869468288710634178517992577660265597<249>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁶³+1739

c263

composite cofactor 合成数の残り

77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797<263>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
45	11e6	2400		Dmitry Domanov	November 5, 2018 21:39:33 UTC 2018 年 11 月 6 日 (火) 6 時 39 分 33 秒 (日本時間)
50	43e6	2438	438	Dmitry Domanov	January 5, 2019 20:06:43 UTC 2019 年 1 月 6 日 (日) 5 時 6 分 43 秒 (日本時間)
50	43e6	2438	2000	Dmitry Domanov	August 4, 2020 22:59:40 UTC 2020 年 8 月 5 日 (水) 7 時 59 分 40 秒 (日本時間)
55	11e7	2000 / 16730		Dmitry Domanov	July 28, 2020 23:10:35 UTC 2020 年 7 月 29 日 (水) 8 時 10 分 35 秒 (日本時間)

7×10²⁶⁴+1739

c186

composite cofactor 合成数の残り	104783813504733047334803077150213082522318538604569172432578531816028672133611395594686648668539526572133812226300935900020828019631937816390842254960733724588588353435431343104099246271<186>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁶⁵+1739

c250

composite cofactor 合成数の残り

1646530746365855503345865300714400373571851654617565776052195087416222591725404861133735622561431655848480492081002051351536348269486531929634277956404488118699561519754319261871962883303719022044532975548211957651903772650187057488775190127502065991<250>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁶⁶+1739

c196

composite cofactor 合成数の残り

5898121384781859471695099896286175086069325070640754635210792389673840048651162338108143613107449392026040147885596635878840570460332471772201769456715994173731363767689527550311079755930342709097<196>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁶⁷+1739

c251

composite cofactor 合成数の残り

58631426722488887872176865057946729788644085667170083887679782710930857338073226953458435702963975654028862886192505767316636998775753717002087704931676884465988127939300608795870519100629858045517745533777497914603253727878957454077464564489645394593<251>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁶⁸+1739

c254

composite cofactor 合成数の残り

87119271593621614397741422490574397765497145780971838749321565863493145882883577338469237934166719078995096818892859226200113590734833923806032695255352014317887038766526820251048655945103525792735863550255296191655629231781195070676113067899413964748527<254>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁶⁹+1739

c222

composite cofactor 合成数の残り

695642851409984154314841232613243357362553342021345293398738717591251716517285379515407059964694995310668341830074126812409137236714795284787232628665299066976749015582077468859915514983189970679173537449709774218557397287<222>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁷¹+1739

c216

composite cofactor 合成数の残り

104165716881140278234069300075082480712494279623834891618937965349415489274325062820923406591232978823300318308484130223770930458196468878036527800676522745713669341662788840147728221295453711863263833067014111988613<216>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁷²+1739

c238

composite cofactor 合成数の残り

2979648089630125668387037062751574266675030341155884995231623331190641058657652029334584013710544143342885226341643559972475484630720300288127343889730010368964817255278220280242981366936605173792456605612575425533506699727690253128542811<238>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁷³+1739

c233

composite cofactor 合成数の残り

29526196313853208704855768566252297062032930429968977586614121723588604910801243352469022688688711488763668102140343226515794272096832576222115008201393411901676531613529690243606905484910904195102897339644515606949539481331692089959<233>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁷⁶+1739

c274

composite cofactor 合成数の残り

1202129486518976472608620985746178945560707539069208311866735359780182036750815730722995019749270135668899192855916194401511248497338141851279409239223767817276318049115576163489610166580800274772454061480336596256225313412330413876008930104756998110939378327322685900738451<274>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁷⁷+1739

c244

composite cofactor 合成数の残り

5041159800803718326571853995579636395648181715319853564396812435078027405688073799772400483899014301665213566076831159464836820936629452108749495923215882204453369438709144295951588153656780964940569368434009795741877924715573365567028028695307<244>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁷⁹+1739

c238

composite cofactor 合成数の残り

1363809000762821908531719789427102345338625893835198476761440257126884097519205209694624919629020325861693769215519526081481891857851734432893845691142786894194533080533370089009537187270422918672103661621373485943425074928685072968160833<238>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁸⁰+1739

c261

composite cofactor 合成数の残り

837770445762689172539928239705699871189050964019471495679292364600793703113663122959217747761245338127025067451730453033128704922917807849127993912598668821790706876105111475785674019182662864394005170588364444174287651546141734179810342030342080881178130834693<261>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁸¹+1739

c266

composite cofactor 合成数の残り

40362518591502595290110195533195240592011578525496265868874017727935858445312886001498773400948477265444953023682649616854857066383821406410049855103214010587279508858847518461232869794341236108838944533634551640571158747914213866735507359699199309389710471901980989<266>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁸²+1739

c230

composite cofactor 合成数の残り

19900364898777653003608248494392443278281788862026262815251066411418463573489514393074443513046108214764960385467951000122528825529269557677529919052527901185459306807575465149344482212984651119343677934404122080965121489398843943<230>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁸³+1739

c210

composite cofactor 合成数の残り

258618639248518782154361103814064268314779638879990442109063346548389713044346831816064870975123129521775886953543276877366405094465611748713376713292500660651415100111994297158942987716104708793766370498701639<210>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁸⁴+1739

c267

composite cofactor 合成数の残り

272034713706304942351923095621660093117453027096046826147095563829114184087822639557137476033061322722865786478394609671461720524787134062386914098778074682386534321875562903104142626653827082202553130581472077804971326674168982424358167467394080714599914410359525781<267>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁸⁵+1739

c268

composite cofactor 合成数の残り

4021990763689550561980543435892900529702105225919586451338029634567120719760514310231609939816297904861690191356297268833521013705820266489984264717285463913036923343509588486704958296470636808641717900230142012062123196221525395078653051484041425238920950530502766501<268>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁸⁷+1739

c248

composite cofactor 合成数の残り

16700337467617942818316966034538902815111148452453709705114967250717226680433668010679054730088630050431611354772911618100739974340033088607376571873119149595972042252609205711249102656763888533128044267394668871743897500126461174091618714384402799<248>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁸⁸+1739

c266

composite cofactor 合成数の残り

20419634652339625300816026500313454689249339283647019363250159529306078027673741292582427911948667101073629268123832346278050762591527724576051678821481317868775448079727004551926198763262104382841161987017630855867059748155573920484663267975876226327422453943332761<266>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁹⁰+1739

c274

composite cofactor 合成数の残り

7398388442280256511674737415739827516052864917188872401726172944309763221186006159551616572908320612713496247647278707341244933950629249449332146480449749394696323187439447312775301076679924505391481488456217241323396365717862235891278463664391767303433874398771906898092907<274>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁹¹+1739

c279

composite cofactor 合成数の残り

149286141583772838403071809047805920053994037453024345500190035037898491564742015635324131096503505108467999857202118455577871276708776023891471709913423393042281658187396532498166201903035384265977089709934164221748858788185072307721546716967536592844582185247782728003908348723<279>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁹²+1739

c292

composite cofactor 合成数の残り

2592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592599<292>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁹³+1739

c237

composite cofactor 合成数の残り

858571611091597989213171349610902041569994231418412982010231907518492066268068248628949233706892985127329832028211474187452204657640708797094854358861854530879003638795031648446948156542875969887146178808628336251032650508010643251291271<237>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁹⁴+1739

c281

composite cofactor 合成数の残り

34076208114989020431712906428708746842234108631731977810356119717253583194094808097909003240899040379955676673837825719733669693527764566285764297085454735817662496403716759967650838949956048864903768186060749088601157631362998072037159052586400356161180891389688000184992385584869<281>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁹⁵+1739

c235

composite cofactor 合成数の残り

2451067521205067594507494400761822425084932879023351125079560197066596303518569436889378938712962569225540169888456506243628215268897792053728801487872322191634511568245861185398708288398697584490557731749736787775093029010748372008117<235>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁹⁷+1739

c264

composite cofactor 合成数の残り

134274824406425416038822158615808620710578668649403769937096216744186725319687114527702540822135328109112681215097398410674536191547961200390504235619594118849908047527218831160543761773936497817379043087367160566394373940135715531501958497215292999321709062257293<264>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10²⁹⁸+1739

c287

composite cofactor 合成数の残り

25187992547337329333385025667386867458244471724254938211404718520883068162103296472043870239086100516308538087884245549091144623837868797620035373487591329680152430531247054617814300363992037215426141966703659985221328511002744211372444785484042950142658923630594321216977686674526411219<287>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)

7×10³⁰⁰+1739

c247

composite cofactor 合成数の残り

1266399787328099833296424281773370570906331105585037005872638887761915190211406938049082739519811048441400922230721050345935699753939501268740854545811040469148839320487209512876299872293054814597464192784302288327028958866596778724838533438010837<247>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
40	3e6	2500		Erik Branger	October 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
45	11e6	2000	800	Dmitry Domanov	October 25, 2018 08:18:36 UTC 2018 年 10 月 25 日 (木) 17 時 18 分 36 秒 (日本時間)
45	11e6	2000	1200	Dmitry Domanov	October 29, 2018 15:17:42 UTC 2018 年 10 月 30 日 (火) 0 時 17 分 42 秒 (日本時間)
50	43e6	560 / 7010		Dmitry Domanov	November 4, 2018 17:14:32 UTC 2018 年 11 月 5 日 (月) 2 時 14 分 32 秒 (日本時間)