Contributed factorization results of 1311...11

Table of contents 目次

118×10¹⁰²-19
- c95
- ECM
118×10¹⁰⁴-19
- c96
- ECM
118×10¹¹³-19
- c107
- ECM
118×10¹¹⁴-19
- c105
- ECM
118×10¹²⁰-19
- c119
- ECM
118×10¹²²-19
- c104
- ECM
118×10¹²³-19
- c106
- ECM
118×10¹²⁸-19
- c114
- ECM
118×10¹³⁰-19
- c129
- ECM
118×10¹³²-19
- c96
- ECM
118×10¹³³-19
- c124
- ECM
118×10¹³⁴-19
- c127
- ECM
118×10¹³⁵-19
- c106
- ECM
118×10¹³⁷-19
- c104
- ECM
118×10¹³⁹-19
- c127
- ECM
118×10¹⁴⁰-19
- c112
- ECM
118×10¹⁴¹-19
- c130
- ECM
118×10¹⁴²-19
- c136
- ECM
118×10¹⁴³-19
- c118
- ECM
118×10¹⁴⁵-19
- c119
- ECM
118×10¹⁴⁹-19
- c132
- ECM
118×10¹⁵¹-19
- c149
- ECM
118×10¹⁵²-19
- c141
- ECM
118×10¹⁵⁴-19
- c156
- ECM
118×10¹⁵⁵-19
- c153
- ECM
118×10¹⁵⁷-19
- c150
- ECM
118×10¹⁶¹-19
- c150
- ECM
118×10¹⁶²-19
- c142
- ECM
118×10¹⁶³-19
- c103
- ECM
118×10¹⁶⁴-19
- c144
- ECM
118×10¹⁶⁷-19
- c135
- ECM
118×10¹⁶⁸-19
- c134
- ECM
118×10¹⁶⁹-19
- c144
- ECM
118×10¹⁷⁰-19
- c160
- ECM
118×10¹⁷¹-19
- c151
- ECM
118×10¹⁷²-19
- c170
- c141
- ECM
118×10¹⁷³-19
- c123
- ECM
118×10¹⁷⁴-19
- c131
- ECM
118×10¹⁷⁵-19
- c134
- ECM
118×10¹⁷⁷-19
- c134
- ECM
118×10¹⁷⁸-19
- c152
- ECM
118×10¹⁸³-19
- c168
- ECM
118×10¹⁸⁵-19
- c178
- ECM
118×10¹⁸⁸-19
- c181
- ECM
118×10¹⁸⁹-19
- c187
- c156
- ECM
118×10¹⁹⁰-19
- c146
- ECM
118×10¹⁹¹-19
- c173
- ECM
118×10¹⁹³-19
- c154
- ECM
118×10¹⁹⁵-19
- c181
- ECM
118×10¹⁹⁶-19
- c189
- ECM
118×10¹⁹⁸-19
- c165
- ECM
118×10¹⁹⁹-19
- c144
- ECM
118×10²⁰¹-19
- c197
- ECM
118×10²⁰²-19
- c179
- c140
- ECM
118×10²⁰⁴-19
- c153
- ECM
118×10²⁰⁵-19
- c200
- ECM
118×10²⁰⁶-19
- c181
- c152
- ECM
118×10²⁰⁷-19
- c167
- ECM
118×10²⁰⁸-19
- c177
- ECM
118×10²¹⁰-19
- c189
- c151
- ECM
118×10²¹¹-19
- c173
- ECM
118×10²¹²-19
- c187
- ECM
118×10²¹³-19
- c187
- ECM
118×10²¹⁵-19
- c188
- ECM
118×10²¹⁸-19
- c196
- ECM
118×10²¹⁹-19
- c192
- ECM
118×10²²¹-19
- c211
- ECM
118×10²²⁴-19
- c195
- ECM
118×10²²⁶-19
- c184
- ECM
118×10²²⁷-19
- c178
- ECM
118×10²²⁹-19
- c204
- ECM
118×10²³⁰-19
- c199
- ECM
118×10²³²-19
- c202
- ECM
118×10²³³-19
- c208
- ECM
118×10²³⁴-19
- c197
- ECM
118×10²³⁵-19
- c132
- ECM
118×10²³⁶-19
- c219
- ECM
118×10²⁴⁰-19
- c216
- ECM
118×10²⁴¹-19
- c237
- c205
- ECM
118×10²⁴³-19
- c211
- ECM
118×10²⁴⁴-19
- c210
- ECM
118×10²⁴⁵-19
- c207
- ECM
118×10²⁴⁶-19
- c103
- ECM
118×10²⁴⁷-19
- c196
- ECM
118×10²⁵⁰-19
- c226
- ECM
118×10²⁵¹-19
- c252
- ECM
118×10²⁵²-19
- c224
- ECM
118×10²⁵³-19
- c255
- ECM
118×10²⁵⁴-19
- c251
- ECM
118×10²⁵⁵-19
- c240
- ECM
118×10²⁵⁶-19
- c258
- ECM
118×10²⁵⁷-19
- c217
- ECM
118×10²⁵⁹-19
- c220
- ECM
118×10²⁶⁰-19
- c252
- ECM
118×10²⁶¹-19
- c253
- ECM
118×10²⁶³-19
- c226
- ECM
118×10²⁶⁵-19
- c231
- ECM
118×10²⁶⁶-19
- c247
- ECM
118×10²⁶⁷-19
- c236
- ECM
118×10²⁶⁸-19
- c253
- ECM
118×10²⁶⁹-19
- c240
- ECM
118×10²⁷⁰-19
- c249
- ECM
118×10²⁷¹-19
- c260
- ECM
118×10²⁷²-19
- c224
- ECM
118×10²⁷³-19
- c246
- ECM
118×10²⁷⁴-19
- c276
- ECM
118×10²⁷⁶-19
- c223
- ECM
118×10²⁷⁷-19
- c246
- ECM
118×10²⁷⁸-19
- c267
- c239
- ECM
118×10²⁷⁹-19
- c280
- ECM
118×10²⁸⁰-19
- c277
- ECM
118×10²⁸²-19
- c242
- ECM
118×10²⁸³-19
- c240
- ECM
118×10²⁸⁴-19
- c275
- ECM
118×10²⁸⁶-19
- c264
- ECM
118×10²⁸⁷-19
- c262
- ECM
118×10²⁸⁸-19
- c236
- ECM
118×10²⁸⁹-19
- c288
- ECM
118×10²⁹⁰-19
- c266
- ECM
118×10²⁹⁴-19
- c282
- ECM
118×10²⁹⁵-19
- c247
- ECM
118×10²⁹⁶-19
- c260
- ECM
118×10²⁹⁷-19
- c296
- ECM
118×10²⁹⁸-19
- c225
- ECM
118×10²⁹⁹-19
- c270
- ECM

118×10¹⁰²-19

c95

name 名前	Dmitry Domanov
date 日付	December 6, 2014 15:07:12 UTC 2014 年 12 月 7 日 (日) 0 時 7 分 12 秒 (日本時間)
composite number 合成数	16961955619921979767870471132172961148278557939835990277132772463070255214297668573033364638333<95>
prime factors 素因数	67251704830395157261589308009663<32> 252215994563989624679519684930052729989262120490141672271793091<63>
factorization results 素因数分解の結果	N=16961955619921979767870471132172961148278557939835990277132772463070255214297668573033364638333 ( 95 digits) SNFS difficulty: 104 digits. Divisors found: r1=67251704830395157261589308009663 (pp32) r2=252215994563989624679519684930052729989262120490141672271793091 (pp63) Version: Msieve v. 1.50 (SVN unknown) Total time: 0.16 hours. Scaled time: 0.31 units (timescale=1.909). Factorization parameters were as follows: n: 16961955619921979767870471132172961148278557939835990277132772463070255214297668573033364638333 m: 10000000000000000000000000 deg: 4 c4: 11800 c0: -1 skew: 0.10 # Murphy_E = 2.317e-07 type: snfs lss: 1 rlim: 380000 alim: 380000 lpbr: 25 lpba: 25 mfbr: 44 mfba: 44 rlambda: 2.2 alambda: 2.2 Factor base limits: 380000/380000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [190000, 280001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 38683 x 38915 Total sieving time: 0.14 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,104.000,4,0,0,0,0,0,0,0,0,380000,380000,25,25,44,44,2.2,2.2,10000 total time: 0.16 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

118×10¹⁰⁴-19

c96

name 名前	Dmitry Domanov
date 日付	December 6, 2014 15:39:07 UTC 2014 年 12 月 7 日 (日) 0 時 39 分 7 秒 (日本時間)
composite number 合成数	129602166013551285050333201168130721582360628079733394745508610486426117323794073891066589746037<96>
prime factors 素因数	812540080696370994289411749843754404836931961<45> 159502489898687062388291833594031619334346098730717<51>
factorization results 素因数分解の結果	N=129602166013551285050333201168130721582360628079733394745508610486426117323794073891066589746037 ( 96 digits) SNFS difficulty: 106 digits. Divisors found: r1=812540080696370994289411749843754404836931961 (pp45) r2=159502489898687062388291833594031619334346098730717 (pp51) Version: Msieve v. 1.50 (SVN unknown) Total time: 0.16 hours. Scaled time: 0.33 units (timescale=2.035). Factorization parameters were as follows: n: 129602166013551285050333201168130721582360628079733394745508610486426117323794073891066589746037 m: 100000000000000000000000000 deg: 4 c4: 118 c0: -1 skew: 0.30 # Murphy_E = 2.267e-07 type: snfs lss: 1 rlim: 410000 alim: 410000 lpbr: 25 lpba: 25 mfbr: 44 mfba: 44 rlambda: 2.2 alambda: 2.2 Factor base limits: 410000/410000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [205000, 305001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 38495 x 38743 Total sieving time: 0.14 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.00 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,106.000,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000 total time: 0.16 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

118×10¹¹³-19

c107

name 名前	KTakahashi
date 日付	December 6, 2014 17:31:25 UTC 2014 年 12 月 7 日 (日) 2 時 31 分 25 秒 (日本時間)
composite number 合成数	44360762002252466562690303674641389573651761499505935772586523514036559004713823442385281781872261073039239<107>
prime factors 素因数	1016869068646715714917361583934997929<37> 43624851389460879547760475405943559431717283774254805013727983965481391<71>
factorization results 素因数分解の結果	Number: 13111_113 N=44360762002252466562690303674641389573651761499505935772586523514036559004713823442385281781872261073039239 ( 107 digits) SNFS difficulty: 116 digits. Divisors found: r1=1016869068646715714917361583934997929 (pp37) r2=43624851389460879547760475405943559431717283774254805013727983965481391 (pp71) Version: Msieve v. 1.51 (SVN Official Release) Total time: 1.71 hours. Scaled time: 2.73 units (timescale=1.597). Factorization parameters were as follows: n: 44360762002252466562690303674641389573651761499505935772586523514036559004713823442385281781872261073039239 m: 100000000000000000000000 c5: 59 c0: -50 skew: 0.97 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 550001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 93164 x 93389 Total sieving time: 1.66 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.03 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.71 hours. --------- CPU info (if available) ----------

ECM

level レベル	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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

118×10¹¹⁴-19

c105

name 名前	KTakahashi
date 日付	December 6, 2014 17:31:57 UTC 2014 年 12 月 7 日 (日) 2 時 31 分 57 秒 (日本時間)
composite number 合成数	599683013918531847265965326564217219713773102502556644080815020186532079324447436632568246475725674118179<105>
prime factors 素因数	222499681793901389458864793503021188515401<42> 2695208411461956857929598583212066002333669382991535219188301579<64>
factorization results 素因数分解の結果	Number: 13111_114 N=599683013918531847265965326564217219713773102502556644080815020186532079324447436632568246475725674118179 ( 105 digits) SNFS difficulty: 116 digits. Divisors found: r1=222499681793901389458864793503021188515401 (pp42) r2=2695208411461956857929598583212066002333669382991535219188301579 (pp64) Version: Msieve v. 1.51 (SVN Official Release) Total time: 1.48 hours. Scaled time: 2.56 units (timescale=1.737). Factorization parameters were as follows: n: 599683013918531847265965326564217219713773102502556644080815020186532079324447436632568246475725674118179 m: 100000000000000000000000 c5: 59 c0: -5 skew: 0.61 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, 500001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 85098 x 85327 Total sieving time: 1.43 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.48 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

118×10¹²⁰-19

c119

name 名前	KTakahashi
date 日付	December 6, 2014 17:32:46 UTC 2014 年 12 月 7 日 (日) 2 時 32 分 46 秒 (日本時間)
composite number 合成数	59326294620412267471091000502765208647561588738059326294620412267471091000502765208647561588738059326294620412267471091<119>
prime factors 素因数	1061587953965487757016431582268647105227373<43> 55884483616080073143577139915884572856195432429634553105755749620523135212767<77>
factorization results 素因数分解の結果	Number: 13111_120 N=59326294620412267471091000502765208647561588738059326294620412267471091000502765208647561588738059326294620412267471091 ( 119 digits) SNFS difficulty: 123 digits. Divisors found: r1=1061587953965487757016431582268647105227373 (pp43) r2=55884483616080073143577139915884572856195432429634553105755749620523135212767 (pp77) Version: Msieve v. 1.51 (SVN Official Release) Total time: 2.00 hours. Scaled time: 3.46 units (timescale=1.728). Factorization parameters were as follows: n: 59326294620412267471091000502765208647561588738059326294620412267471091000502765208647561588738059326294620412267471091 m: 2000000000000000000000000 c5: 59 c0: -16 skew: 0.77 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, 450001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 79812 x 80037 Total sieving time: 1.95 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,123.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.00 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

118×10¹²²-19

c104

name 名前	Dmitry Domanov
date 日付	December 6, 2014 22:05:39 UTC 2014 年 12 月 7 日 (日) 7 時 5 分 39 秒 (日本時間)
composite number 合成数	39089973621766486136735293637291123816470045319336404081234751708412139349544244201353304695114464323151<104>
prime factors 素因数	783062627056934541175965266148410221869727087<45> 49919345236385992304415071766839262417384009233748399453473<59>
factorization results 素因数分解の結果	N=39089973621766486136735293637291123816470045319336404081234751708412139349544244201353304695114464323151 ( 104 digits) SNFS difficulty: 124 digits. Divisors found: r1=783062627056934541175965266148410221869727087 (pp45) r2=49919345236385992304415071766839262417384009233748399453473 (pp59) Version: Msieve v. 1.50 (SVN unknown) Total time: 1.84 hours. Scaled time: 3.92 units (timescale=2.135). Factorization parameters were as follows: n: 39089973621766486136735293637291123816470045319336404081234751708412139349544244201353304695114464323151 m: 1000000000000000000000000 deg: 5 c5: 11800 c0: -1 skew: 0.15 # Murphy_E = 1.1e-08 type: snfs lss: 1 rlim: 820000 alim: 820000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.2 alambda: 2.2 Factor base limits: 820000/820000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [410000, 910001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 87897 x 88122 Total sieving time: 1.79 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.02 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,124.000,5,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,50000 total time: 1.84 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

118×10¹²³-19

c106

name 名前	Dmitry Domanov
date 日付	December 6, 2014 23:53:07 UTC 2014 年 12 月 7 日 (日) 8 時 53 分 7 秒 (日本時間)
composite number 合成数	1574351524037544581351583368904095237998117892933818449139640095284522878289556898184125703842998037151251<106>
prime factors 素因数	10120770784670698183672155897216143<35> 155556484533976096194159177095292240101083552653953655325295589090717757<72>
factorization results 素因数分解の結果	N=1574351524037544581351583368904095237998117892933818449139640095284522878289556898184125703842998037151251 ( 106 digits) SNFS difficulty: 125 digits. Divisors found: r1=10120770784670698183672155897216143 (pp35) r2=155556484533976096194159177095292240101083552653953655325295589090717757 (pp72) Version: Msieve v. 1.50 (SVN unknown) Total time: 1.18 hours. Scaled time: 2.48 units (timescale=2.103). Factorization parameters were as follows: n: 1574351524037544581351583368904095237998117892933818449139640095284522878289556898184125703842998037151251 m: 2000000000000000000000000 deg: 5 c5: 7375 c0: -2 skew: 0.19 # Murphy_E = 9.754e-09 type: snfs lss: 1 rlim: 860000 alim: 860000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 Factor base limits: 860000/860000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved rational special-q in [430000, 730001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 113210 x 113438 Total sieving time: 1.12 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,125.000,5,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,50000 total time: 1.18 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

118×10¹²⁸-19

c114

name 名前	Dmitry Domanov
date 日付	December 8, 2014 10:58:32 UTC 2014 年 12 月 8 日 (月) 19 時 58 分 32 秒 (日本時間)
composite number 合成数	526599163549763387303290353428267879755411726274323250248571245086998915798430567372093036332299564928351226002731<114>
prime factors 素因数	48780235412505505291554110020758777323475586207784497<53> 10795338708323704029567462103514709196361413654562460023696923<62>
factorization results 素因数分解の結果	N=526599163549763387303290353428267879755411726274323250248571245086998915798430567372093036332299564928351226002731 ( 114 digits) SNFS difficulty: 130 digits. Divisors found: r1=48780235412505505291554110020758777323475586207784497 (pp53) r2=10795338708323704029567462103514709196361413654562460023696923 (pp62) Version: Msieve v. 1.50 (SVN unknown) Total time: 2.09 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 526599163549763387303290353428267879755411726274323250248571245086998915798430567372093036332299564928351226002731 m: 20000000000000000000000000 deg: 5 c5: 7375 c0: -2 skew: 0.19 # Murphy_E = 6.469e-09 type: snfs lss: 1 rlim: 1040000 alim: 1040000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1040000/1040000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [520000, 920001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 157601 x 157826 Total sieving time: 1.99 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.07 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,130.000,5,0,0,0,0,0,0,0,0,1040000,1040000,26,26,47,47,2.3,2.3,50000 total time: 2.09 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

118×10¹³⁰-19

c129

name 名前	Dmitry Domanov
date 日付	December 8, 2014 10:32:55 UTC 2014 年 12 月 8 日 (月) 19 時 32 分 55 秒 (日本時間)
composite number 合成数	136431957451728523528731645276910625505838825297722280032373684819054225922071915828419470459012602613018846109376806567233206151<129>
prime factors 素因数	64599733336382146989133168219735730741<38> 3291360696423115945728008366456335020193<40> 641667297675653685183924767744109005309208381259627<51>
factorization results 素因数分解の結果	N=136431957451728523528731645276910625505838825297722280032373684819054225922071915828419470459012602613018846109376806567233206151 ( 129 digits) SNFS difficulty: 132 digits. Divisors found: r1=64599733336382146989133168219735730741 (pp38) r2=3291360696423115945728008366456335020193 (pp40) r3=641667297675653685183924767744109005309208381259627 (pp51) Version: Msieve v. 1.50 (SVN unknown) Total time: 1.30 hours. Scaled time: 2.73 units (timescale=2.103). Factorization parameters were as follows: n: 136431957451728523528731645276910625505838825297722280032373684819054225922071915828419470459012602613018846109376806567233206151 m: 100000000000000000000000000 deg: 5 c5: 118 c0: -1 skew: 0.39 # Murphy_E = 8.417e-09 type: snfs lss: 1 rlim: 1110000 alim: 1110000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1110000/1110000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [555000, 855001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 145086 x 145313 Total sieving time: 1.19 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.06 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,132.000,5,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,50000 total time: 1.30 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

118×10¹³²-19

c96

name 名前	KTakahashi
date 日付	December 6, 2014 19:07:25 UTC 2014 年 12 月 7 日 (日) 4 時 7 分 25 秒 (日本時間)
composite number 合成数	176619958060429415775729754767028571386988519325477938625858942558786112016686100288815720448207<96>
prime factors 素因数	19421169984659558675703222018393221<35> 9094197630726594789163055533404463602061091063677317895334467<61>
factorization results 素因数分解の結果	Input number is 176619958060429415775729754767028571386988519325477938625858942558786112016686100288815720448207 (96 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1843424660 Step 1 took 2168ms Step 2 took 1529ms ********** Factor found in step 2: 19421169984659558675703222018393221 Found probable prime factor of 35 digits: 19421169984659558675703222018393221 Probable prime cofactor 9094197630726594789163055533404463602061091063677317895334467 has 61 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

118×10¹³³-19

c124

name 名前	Dmitry Domanov
date 日付	December 8, 2014 14:11:55 UTC 2014 年 12 月 8 日 (月) 23 時 11 分 55 秒 (日本時間)
composite number 合成数	2584396736302982163271995212287495370224819099080450146708136445377952435935725324639845870142836612847190130427839282816949<124>
prime factors 素因数	76119223810264323341008148810921947487295167<44> 33951958610940122093425496951000279660231121728855317554479390981347658913182347<80>
factorization results 素因数分解の結果	N=2584396736302982163271995212287495370224819099080450146708136445377952435935725324639845870142836612847190130427839282816949 ( 124 digits) SNFS difficulty: 135 digits. Divisors found: r1=76119223810264323341008148810921947487295167 (pp44) r2=33951958610940122093425496951000279660231121728855317554479390981347658913182347 (pp80) Version: Msieve v. 1.50 (SVN unknown) Total time: 2.82 hours. Scaled time: 3.88 units (timescale=1.378). Factorization parameters were as follows: n: 2584396736302982163271995212287495370224819099080450146708136445377952435935725324639845870142836612847190130427839282816949 m: 100000000000000000000000000 deg: 5 c5: 118000 c0: -1 skew: 0.10 # Murphy_E = 4.266e-09 type: snfs lss: 1 rlim: 1250000 alim: 1250000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1250000/1250000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [625000, 1225001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 198805 x 199030 Total sieving time: 2.60 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.12 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,135.000,5,0,0,0,0,0,0,0,0,1250000,1250000,26,26,47,47,2.3,2.3,75000 total time: 2.82 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

118×10¹³⁴-19

c127

name 名前	Dmitry Domanov
date 日付	December 9, 2014 13:40:41 UTC 2014 年 12 月 9 日 (火) 22 時 40 分 41 秒 (日本時間)
composite number 合成数	1709881486095669124315987650275475680650288007228175630342951901980172059818280029479916000356317855731155906606570574946880253<127>
prime factors 素因数	10837407731118106318240771710165015202431549349<47> 157775874869594753334829856332905274491463480583456090505060616709393691942616697<81>
factorization results 素因数分解の結果	N=1709881486095669124315987650275475680650288007228175630342951901980172059818280029479916000356317855731155906606570574946880253 ( 127 digits) SNFS difficulty: 136 digits. Divisors found: r1=10837407731118106318240771710165015202431549349 (pp47) r2=157775874869594753334829856332905274491463480583456090505060616709393691942616697 (pp81) Version: Msieve v. 1.50 (SVN unknown) Total time: 2.92 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 1709881486095669124315987650275475680650288007228175630342951901980172059818280029479916000356317855731155906606570574946880253 m: 1000000000000000000000000000 deg: 5 c5: 59 c0: -5 skew: 0.61 # Murphy_E = 5.02e-09 type: snfs lss: 1 rlim: 1330000 alim: 1330000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1330000/1330000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [665000, 1190001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 169655 x 169882 Total sieving time: 2.79 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.07 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,136.000,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000 total time: 2.92 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 9, 2014 13:02:04 UTC 2014 年 12 月 9 日 (火) 22 時 2 分 4 秒 (日本時間)
40	3e6	110 / 2126		Ignacio Santos	December 9, 2014 13:02:04 UTC 2014 年 12 月 9 日 (火) 22 時 2 分 4 秒 (日本時間)
45	11e6	32 / 4437		Ignacio Santos	December 9, 2014 13:02:04 UTC 2014 年 12 月 9 日 (火) 22 時 2 分 4 秒 (日本時間)

118×10¹³⁵-19

c106

name 名前	Dmitry Domanov
date 日付	December 11, 2014 01:18:52 UTC 2014 年 12 月 11 日 (木) 10 時 18 分 52 秒 (日本時間)
composite number 合成数	7819328272151817869461708273494050190339002151939860329380556211520610900919634052504764125809361681473871<106>
prime factors 素因数	3731172931220412955516336309293793988516273396813<49> 2095675653820266151796745263083501964956725531188680249867<58>
factorization results 素因数分解の結果	106 digits) SNFS difficulty: 137 digits. Divisors found: r1=3731172931220412955516336309293793988516273396813 (pp49) r2=2095675653820266151796745263083501964956725531188680249867 (pp58) Version: Msieve v. 1.50 (SVN unknown) Total time: 1.96 hours. Scaled time: 4.20 units (timescale=2.144). Factorization parameters were as follows: n: 7819328272151817869461708273494050190339002151939860329380556211520610900919634052504764125809361681473871 m: 1000000000000000000000000000 deg: 5 c5: 118 c0: -1 skew: 0.39 # Murphy_E = 5.532e-09 type: snfs lss: 1 rlim: 1350000 alim: 1350000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1350000/1350000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [675000, 1125001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 168418 x 168645 Total sieving time: 1.75 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.08 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,137.000,5,0,0,0,0,0,0,0,0,1350000,1350000,26,26,48,48,2.3,2.3,75000 total time: 1.96 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Pierre Jammes	December 9, 2014 16:33:21 UTC 2014 年 12 月 10 日 (水) 1 時 33 分 21 秒 (日本時間)

118×10¹³⁷-19

c104

name 名前	Cyp
date 日付	December 13, 2014 06:48:18 UTC 2014 年 12 月 13 日 (土) 15 時 48 分 18 秒 (日本時間)
composite number 合成数	35774913696369478979966208046519524043667318373857672595623988080886731923686678483402528661862658307819<104>
prime factors 素因数	37116057737665915280686787465322077074327621<44> 963866204466660697658303225359543278864615127658816614198639<60>
factorization results 素因数分解の結果	12/13/14 06:52:45 v1.34.3, 12/13/14 06:52:45 v1.34.3, ************************** 12/13/14 06:52:45 v1.34.3, Starting factorization of 35774913696369478979966208046519524043667318373857672595623988080886731923686678483402528661862658307819 12/13/14 06:52:45 v1.34.3, using pretesting plan: none 12/13/14 06:52:45 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/13/14 06:52:45 v1.34.3, ************************** 12/13/14 06:52:45 v1.34.3, nfs: commencing nfs on c104: 35774913696369478979966208046519524043667318373857672595623988080886731923686678483402528661862658307819 12/13/14 06:52:45 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/13/14 06:52:45 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 06:52:58 v1.34.3, nfs: commencing lattice sieving with 8 threads [217 lines snipped] 12/13/14 07:44:40 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 07:44:54 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 07:45:08 v1.34.3, nfs: commencing msieve filtering 12/13/14 07:45:57 v1.34.3, nfs: commencing msieve linear algebra 12/13/14 07:47:58 v1.34.3, nfs: commencing msieve sqrt 12/13/14 07:48:17 v1.34.3, prp60 = 963866204466660697658303225359543278864615127658816614198639 12/13/14 07:48:17 v1.34.3, prp44 = 37116057737665915280686787465322077074327621 12/13/14 07:48:18 v1.34.3, NFS elapsed time = 3332.5183 seconds. 12/13/14 07:48:18 v1.34.3, 12/13/14 07:48:18 v1.34.3, 12/13/14 07:48:18 v1.34.3, Total factoring time = 3332.5187 seconds -- Sat Dec 13 07:45:08 2014 Sat Dec 13 07:45:08 2014 commencing relation filtering Sat Dec 13 07:45:08 2014 estimated available RAM is 15987.3 MB Sat Dec 13 07:45:08 2014 commencing duplicate removal, pass 1 Sat Dec 13 07:45:20 2014 found 805867 hash collisions in 4481257 relations Sat Dec 13 07:45:24 2014 added 174709 free relations Sat Dec 13 07:45:24 2014 commencing duplicate removal, pass 2 Sat Dec 13 07:45:27 2014 found 715618 duplicates and 3940348 unique relations Sat Dec 13 07:45:27 2014 memory use: 20.6 MB Sat Dec 13 07:45:27 2014 reading ideals above 100000 Sat Dec 13 07:45:27 2014 commencing singleton removal, initial pass Sat Dec 13 07:45:45 2014 memory use: 94.1 MB Sat Dec 13 07:45:45 2014 reading all ideals from disk Sat Dec 13 07:45:45 2014 memory use: 121.6 MB Sat Dec 13 07:45:45 2014 keeping 4369327 ideals with weight <= 200, target excess is 20436 Sat Dec 13 07:45:46 2014 commencing in-memory singleton removal Sat Dec 13 07:45:46 2014 begin with 3940348 relations and 4369327 unique ideals Sat Dec 13 07:45:47 2014 reduce to 1583604 relations and 1360374 ideals in 14 passes Sat Dec 13 07:45:47 2014 max relations containing the same ideal: 108 Sat Dec 13 07:45:47 2014 removing 386856 relations and 287094 ideals in 99762 cliques Sat Dec 13 07:45:47 2014 commencing in-memory singleton removal Sat Dec 13 07:45:47 2014 begin with 1196748 relations and 1360374 unique ideals Sat Dec 13 07:45:48 2014 reduce to 1134181 relations and 1005695 ideals in 7 passes Sat Dec 13 07:45:48 2014 max relations containing the same ideal: 86 Sat Dec 13 07:45:48 2014 removing 311760 relations and 211998 ideals in 99762 cliques Sat Dec 13 07:45:48 2014 commencing in-memory singleton removal Sat Dec 13 07:45:48 2014 begin with 822421 relations and 1005695 unique ideals Sat Dec 13 07:45:48 2014 reduce to 774296 relations and 741343 ideals in 6 passes Sat Dec 13 07:45:48 2014 max relations containing the same ideal: 68 Sat Dec 13 07:45:49 2014 removing 44140 relations and 34893 ideals in 9247 cliques Sat Dec 13 07:45:49 2014 commencing in-memory singleton removal Sat Dec 13 07:45:49 2014 begin with 730156 relations and 741343 unique ideals Sat Dec 13 07:45:49 2014 reduce to 728664 relations and 704947 ideals in 5 passes Sat Dec 13 07:45:49 2014 max relations containing the same ideal: 65 Sat Dec 13 07:45:49 2014 relations with 0 large ideals: 466 Sat Dec 13 07:45:49 2014 relations with 1 large ideals: 240 Sat Dec 13 07:45:49 2014 relations with 2 large ideals: 3865 Sat Dec 13 07:45:49 2014 relations with 3 large ideals: 26845 Sat Dec 13 07:45:49 2014 relations with 4 large ideals: 94974 Sat Dec 13 07:45:49 2014 relations with 5 large ideals: 184908 Sat Dec 13 07:45:49 2014 relations with 6 large ideals: 217776 Sat Dec 13 07:45:49 2014 relations with 7+ large ideals: 199590 Sat Dec 13 07:45:49 2014 commencing 2-way merge Sat Dec 13 07:45:49 2014 reduce to 477339 relation sets and 453622 unique ideals Sat Dec 13 07:45:49 2014 commencing full merge Sat Dec 13 07:45:54 2014 memory use: 57.1 MB Sat Dec 13 07:45:54 2014 found 240829 cycles, need 237822 Sat Dec 13 07:45:54 2014 weight of 237822 cycles is about 16754686 (70.45/cycle) Sat Dec 13 07:45:54 2014 distribution of cycle lengths: Sat Dec 13 07:45:54 2014 1 relations: 11295 Sat Dec 13 07:45:54 2014 2 relations: 19816 Sat Dec 13 07:45:54 2014 3 relations: 24342 Sat Dec 13 07:45:54 2014 4 relations: 24977 Sat Dec 13 07:45:54 2014 5 relations: 24811 Sat Dec 13 07:45:54 2014 6 relations: 23542 Sat Dec 13 07:45:54 2014 7 relations: 21279 Sat Dec 13 07:45:54 2014 8 relations: 18732 Sat Dec 13 07:45:54 2014 9 relations: 15886 Sat Dec 13 07:45:54 2014 10+ relations: 53142 Sat Dec 13 07:45:54 2014 heaviest cycle: 21 relations Sat Dec 13 07:45:54 2014 commencing cycle optimization Sat Dec 13 07:45:55 2014 start with 1588155 relations Sat Dec 13 07:45:56 2014 pruned 51204 relations Sat Dec 13 07:45:56 2014 memory use: 47.0 MB Sat Dec 13 07:45:56 2014 distribution of cycle lengths: Sat Dec 13 07:45:56 2014 1 relations: 11295 Sat Dec 13 07:45:56 2014 2 relations: 20268 Sat Dec 13 07:45:56 2014 3 relations: 25205 Sat Dec 13 07:45:56 2014 4 relations: 25923 Sat Dec 13 07:45:56 2014 5 relations: 25935 Sat Dec 13 07:45:56 2014 6 relations: 24214 Sat Dec 13 07:45:56 2014 7 relations: 22045 Sat Dec 13 07:45:56 2014 8 relations: 18923 Sat Dec 13 07:45:56 2014 9 relations: 16121 Sat Dec 13 07:45:56 2014 10+ relations: 47893 Sat Dec 13 07:45:56 2014 heaviest cycle: 21 relations Sat Dec 13 07:45:57 2014 RelProcTime: 49 Sat Dec 13 07:45:57 2014 Sat Dec 13 07:45:57 2014 commencing linear algebra Sat Dec 13 07:45:57 2014 read 237822 cycles Sat Dec 13 07:45:57 2014 cycles contain 716996 unique relations Sat Dec 13 07:46:02 2014 read 716996 relations Sat Dec 13 07:46:02 2014 using 20 quadratic characters above 67108454 Sat Dec 13 07:46:05 2014 building initial matrix Sat Dec 13 07:46:09 2014 memory use: 86.1 MB Sat Dec 13 07:46:09 2014 read 237822 cycles Sat Dec 13 07:46:10 2014 matrix is 237676 x 237822 (71.0 MB) with weight 21100608 (88.72/col) Sat Dec 13 07:46:10 2014 sparse part has weight 15985732 (67.22/col) Sat Dec 13 07:46:11 2014 filtering completed in 2 passes Sat Dec 13 07:46:11 2014 matrix is 237639 x 237800 (71.0 MB) with weight 21099534 (88.73/col) Sat Dec 13 07:46:11 2014 sparse part has weight 15985166 (67.22/col) Sat Dec 13 07:46:11 2014 matrix starts at (0, 0) Sat Dec 13 07:46:11 2014 matrix is 237639 x 237800 (71.0 MB) with weight 21099534 (88.73/col) Sat Dec 13 07:46:11 2014 sparse part has weight 15985166 (67.22/col) Sat Dec 13 07:46:11 2014 saving the first 48 matrix rows for later Sat Dec 13 07:46:11 2014 matrix includes 64 packed rows Sat Dec 13 07:46:11 2014 matrix is 237591 x 237800 (66.2 MB) with weight 16633490 (69.95/col) Sat Dec 13 07:46:11 2014 sparse part has weight 14981483 (63.00/col) Sat Dec 13 07:46:11 2014 using block size 65536 for processor cache size 8192 kB Sat Dec 13 07:46:11 2014 commencing Lanczos iteration (8 threads) Sat Dec 13 07:46:11 2014 memory use: 63.0 MB Sat Dec 13 07:46:17 2014 linear algebra at 5.1%, ETA 0h 1m Sat Dec 13 07:47:58 2014 lanczos halted after 3760 iterations (dim = 237581) Sat Dec 13 07:47:58 2014 recovered 37 nontrivial dependencies Sat Dec 13 07:47:58 2014 BLanczosTime: 121 Sat Dec 13 07:47:58 2014 Sat Dec 13 07:47:58 2014 commencing square root phase Sat Dec 13 07:47:58 2014 reading relations for dependency 1 Sat Dec 13 07:47:58 2014 read 119219 cycles Sat Dec 13 07:47:58 2014 cycles contain 358996 unique relations Sat Dec 13 07:48:02 2014 read 358996 relations Sat Dec 13 07:48:02 2014 multiplying 358996 relations Sat Dec 13 07:48:09 2014 multiply complete, coefficients have about 11.25 million bits Sat Dec 13 07:48:09 2014 initial square root is modulo 2904641 Sat Dec 13 07:48:17 2014 sqrtTime: 19 -- n: 35774913696369478979966208046519524043667318373857672595623988080886731923686678483402528661862658307819 m: 1000000000000000000000000000 deg: 5 c5: 11800 c0: -1 skew: 0.15 # Murphy_E = 3.166e-09 type: snfs lss: 1 rlim: 1460000 alim: 1460000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 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	418	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 9, 2014 17:54:39 UTC 2014 年 12 月 10 日 (水) 2 時 54 分 39 秒 (日本時間)
40	3e6	530 / 2126	110	Ignacio Santos	December 9, 2014 17:54:39 UTC 2014 年 12 月 10 日 (水) 2 時 54 分 39 秒 (日本時間)
40	3e6	530 / 2126	420	Pierre Jammes	December 9, 2014 18:22:39 UTC 2014 年 12 月 10 日 (水) 3 時 22 分 39 秒 (日本時間)
45	11e6	32 / 4344		Ignacio Santos	December 9, 2014 17:54:39 UTC 2014 年 12 月 10 日 (水) 2 時 54 分 39 秒 (日本時間)

118×10¹³⁹-19

c127

name 名前	Cyp
date 日付	December 13, 2014 16:15:01 UTC 2014 年 12 月 14 日 (日) 1 時 15 分 1 秒 (日本時間)
composite number 合成数	4386670421056284181170810412489476278421272649745463617956138615073447070754285666707801799655954596811076608674189035613475603<127>
prime factors 素因数	198563461037065598135997746407551504455035713475401668693<57> 22092032432076865264934218663494529862455270821338090470996200648508871<71>
factorization results 素因数分解の結果	12/13/14 16:30:57 v1.34.3, 12/13/14 16:30:57 v1.34.3, ************************** 12/13/14 16:30:57 v1.34.3, Starting factorization of 4386670421056284181170810412489476278421272649745463617956138615073447070754285666707801799655954596811076608674189035613475603 12/13/14 16:30:57 v1.34.3, using pretesting plan: none 12/13/14 16:30:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/13/14 16:30:57 v1.34.3, ************************** 12/13/14 16:30:57 v1.34.3, nfs: commencing nfs on c127: 4386670421056284181170810412489476278421272649745463617956138615073447070754285666707801799655954596811076608674189035613475603 12/13/14 16:30:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/13/14 16:30:57 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 16:31:48 v1.34.3, nfs: commencing lattice sieving with 8 threads [40 lines snipped] 12/13/14 17:07:51 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 17:08:45 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 17:09:40 v1.34.3, nfs: commencing msieve filtering 12/13/14 17:10:31 v1.34.3, nfs: commencing msieve linear algebra 12/13/14 17:14:18 v1.34.3, nfs: commencing msieve sqrt 12/13/14 17:15:00 v1.34.3, prp71 = 22092032432076865264934218663494529862455270821338090470996200648508871 12/13/14 17:15:00 v1.34.3, prp57 = 198563461037065598135997746407551504455035713475401668693 12/13/14 17:15:00 v1.34.3, NFS elapsed time = 2643.3101 seconds. 12/13/14 17:15:00 v1.34.3, 12/13/14 17:15:00 v1.34.3, 12/13/14 17:15:00 v1.34.3, Total factoring time = 2643.3127 seconds -- Sat Dec 13 17:09:40 2014 Sat Dec 13 17:09:40 2014 commencing relation filtering Sat Dec 13 17:09:40 2014 estimated available RAM is 15987.3 MB Sat Dec 13 17:09:40 2014 commencing duplicate removal, pass 1 Sat Dec 13 17:09:53 2014 found 612109 hash collisions in 4560516 relations Sat Dec 13 17:09:57 2014 added 180778 free relations Sat Dec 13 17:09:57 2014 commencing duplicate removal, pass 2 Sat Dec 13 17:10:01 2014 found 436448 duplicates and 4304846 unique relations Sat Dec 13 17:10:01 2014 memory use: 20.6 MB Sat Dec 13 17:10:01 2014 reading ideals above 100000 Sat Dec 13 17:10:01 2014 commencing singleton removal, initial pass Sat Dec 13 17:10:20 2014 memory use: 94.1 MB Sat Dec 13 17:10:20 2014 reading all ideals from disk Sat Dec 13 17:10:20 2014 memory use: 135.7 MB Sat Dec 13 17:10:20 2014 keeping 4560234 ideals with weight <= 200, target excess is 22491 Sat Dec 13 17:10:21 2014 commencing in-memory singleton removal Sat Dec 13 17:10:21 2014 begin with 4304846 relations and 4560234 unique ideals Sat Dec 13 17:10:22 2014 reduce to 1917049 relations and 1553926 ideals in 11 passes Sat Dec 13 17:10:22 2014 max relations containing the same ideal: 116 Sat Dec 13 17:10:23 2014 removing 550407 relations and 381890 ideals in 168517 cliques Sat Dec 13 17:10:23 2014 commencing in-memory singleton removal Sat Dec 13 17:10:23 2014 begin with 1366642 relations and 1553926 unique ideals Sat Dec 13 17:10:23 2014 reduce to 1266916 relations and 1061972 ideals in 7 passes Sat Dec 13 17:10:23 2014 max relations containing the same ideal: 88 Sat Dec 13 17:10:23 2014 removing 464947 relations and 296430 ideals in 168517 cliques Sat Dec 13 17:10:24 2014 commencing in-memory singleton removal Sat Dec 13 17:10:24 2014 begin with 801969 relations and 1061972 unique ideals Sat Dec 13 17:10:24 2014 reduce to 712765 relations and 664793 ideals in 8 passes Sat Dec 13 17:10:24 2014 max relations containing the same ideal: 58 Sat Dec 13 17:10:24 2014 removing 89668 relations and 67786 ideals in 21882 cliques Sat Dec 13 17:10:24 2014 commencing in-memory singleton removal Sat Dec 13 17:10:24 2014 begin with 623097 relations and 664793 unique ideals Sat Dec 13 17:10:24 2014 reduce to 613609 relations and 587204 ideals in 6 passes Sat Dec 13 17:10:24 2014 max relations containing the same ideal: 51 Sat Dec 13 17:10:24 2014 relations with 0 large ideals: 518 Sat Dec 13 17:10:24 2014 relations with 1 large ideals: 238 Sat Dec 13 17:10:24 2014 relations with 2 large ideals: 3732 Sat Dec 13 17:10:24 2014 relations with 3 large ideals: 24061 Sat Dec 13 17:10:24 2014 relations with 4 large ideals: 82615 Sat Dec 13 17:10:24 2014 relations with 5 large ideals: 156467 Sat Dec 13 17:10:24 2014 relations with 6 large ideals: 181162 Sat Dec 13 17:10:24 2014 relations with 7+ large ideals: 164816 Sat Dec 13 17:10:24 2014 commencing 2-way merge Sat Dec 13 17:10:25 2014 reduce to 391596 relation sets and 365191 unique ideals Sat Dec 13 17:10:25 2014 commencing full merge Sat Dec 13 17:10:29 2014 memory use: 48.4 MB Sat Dec 13 17:10:29 2014 found 198949 cycles, need 195391 Sat Dec 13 17:10:29 2014 weight of 195391 cycles is about 13902800 (71.15/cycle) Sat Dec 13 17:10:29 2014 distribution of cycle lengths: Sat Dec 13 17:10:29 2014 1 relations: 12753 Sat Dec 13 17:10:29 2014 2 relations: 17307 Sat Dec 13 17:10:29 2014 3 relations: 19386 Sat Dec 13 17:10:29 2014 4 relations: 20166 Sat Dec 13 17:10:29 2014 5 relations: 20145 Sat Dec 13 17:10:29 2014 6 relations: 18609 Sat Dec 13 17:10:29 2014 7 relations: 17265 Sat Dec 13 17:10:29 2014 8 relations: 14827 Sat Dec 13 17:10:29 2014 9 relations: 12670 Sat Dec 13 17:10:29 2014 10+ relations: 42263 Sat Dec 13 17:10:29 2014 heaviest cycle: 20 relations Sat Dec 13 17:10:29 2014 commencing cycle optimization Sat Dec 13 17:10:30 2014 start with 1276350 relations Sat Dec 13 17:10:31 2014 pruned 43899 relations Sat Dec 13 17:10:31 2014 memory use: 38.4 MB Sat Dec 13 17:10:31 2014 distribution of cycle lengths: Sat Dec 13 17:10:31 2014 1 relations: 12753 Sat Dec 13 17:10:31 2014 2 relations: 17713 Sat Dec 13 17:10:31 2014 3 relations: 20137 Sat Dec 13 17:10:31 2014 4 relations: 20828 Sat Dec 13 17:10:31 2014 5 relations: 21117 Sat Dec 13 17:10:31 2014 6 relations: 19302 Sat Dec 13 17:10:31 2014 7 relations: 17821 Sat Dec 13 17:10:31 2014 8 relations: 15142 Sat Dec 13 17:10:31 2014 9 relations: 12796 Sat Dec 13 17:10:31 2014 10+ relations: 37782 Sat Dec 13 17:10:31 2014 heaviest cycle: 20 relations Sat Dec 13 17:10:31 2014 RelProcTime: 51 Sat Dec 13 17:10:31 2014 Sat Dec 13 17:10:31 2014 commencing linear algebra Sat Dec 13 17:10:31 2014 read 195391 cycles Sat Dec 13 17:10:31 2014 cycles contain 597747 unique relations Sat Dec 13 17:10:35 2014 read 597747 relations Sat Dec 13 17:10:36 2014 using 20 quadratic characters above 67093070 Sat Dec 13 17:10:38 2014 building initial matrix Sat Dec 13 17:10:42 2014 memory use: 73.3 MB Sat Dec 13 17:10:42 2014 read 195391 cycles Sat Dec 13 17:10:42 2014 matrix is 195224 x 195391 (58.4 MB) with weight 17562816 (89.89/col) Sat Dec 13 17:10:42 2014 sparse part has weight 13160144 (67.35/col) Sat Dec 13 17:10:43 2014 filtering completed in 2 passes Sat Dec 13 17:10:43 2014 matrix is 195186 x 195362 (58.4 MB) with weight 17561006 (89.89/col) Sat Dec 13 17:10:43 2014 sparse part has weight 13159015 (67.36/col) Sat Dec 13 17:10:43 2014 matrix starts at (0, 0) Sat Dec 13 17:10:43 2014 matrix is 195186 x 195362 (58.4 MB) with weight 17561006 (89.89/col) Sat Dec 13 17:10:43 2014 sparse part has weight 13159015 (67.36/col) Sat Dec 13 17:10:43 2014 saving the first 48 matrix rows for later Sat Dec 13 17:10:43 2014 matrix includes 64 packed rows Sat Dec 13 17:10:43 2014 matrix is 195138 x 195362 (54.9 MB) with weight 13819722 (70.74/col) Sat Dec 13 17:10:43 2014 sparse part has weight 12442080 (63.69/col) Sat Dec 13 17:10:43 2014 using block size 65536 for processor cache size 8192 kB Sat Dec 13 17:10:43 2014 commencing Lanczos iteration Sat Dec 13 17:10:43 2014 memory use: 41.6 MB Sat Dec 13 17:10:57 2014 linear algebra at 6.2%, ETA 0h 3m Sat Dec 13 17:14:18 2014 lanczos halted after 3088 iterations (dim = 195136) Sat Dec 13 17:14:18 2014 recovered 36 nontrivial dependencies Sat Dec 13 17:14:18 2014 BLanczosTime: 227 Sat Dec 13 17:14:18 2014 Sat Dec 13 17:14:18 2014 commencing square root phase Sat Dec 13 17:14:18 2014 reading relations for dependency 1 Sat Dec 13 17:14:18 2014 read 98041 cycles Sat Dec 13 17:14:18 2014 cycles contain 299952 unique relations Sat Dec 13 17:14:21 2014 read 299952 relations Sat Dec 13 17:14:22 2014 multiplying 299952 relations Sat Dec 13 17:14:27 2014 multiply complete, coefficients have about 7.60 million bits Sat Dec 13 17:14:27 2014 initial square root is modulo 555376291 Sat Dec 13 17:14:32 2014 Newton iteration failed to converge Sat Dec 13 17:14:32 2014 algebraic square root failed Sat Dec 13 17:14:32 2014 reading relations for dependency 2 Sat Dec 13 17:14:32 2014 read 97965 cycles Sat Dec 13 17:14:32 2014 cycles contain 299348 unique relations Sat Dec 13 17:14:36 2014 read 299348 relations Sat Dec 13 17:14:36 2014 multiplying 299348 relations Sat Dec 13 17:14:41 2014 multiply complete, coefficients have about 7.59 million bits Sat Dec 13 17:14:41 2014 initial square root is modulo 534389551 Sat Dec 13 17:14:46 2014 GCD is 1, no factor found Sat Dec 13 17:14:46 2014 reading relations for dependency 3 Sat Dec 13 17:14:46 2014 read 97738 cycles Sat Dec 13 17:14:46 2014 cycles contain 298836 unique relations Sat Dec 13 17:14:50 2014 read 298836 relations Sat Dec 13 17:14:50 2014 multiplying 298836 relations Sat Dec 13 17:14:55 2014 multiply complete, coefficients have about 7.58 million bits Sat Dec 13 17:14:55 2014 initial square root is modulo 514496201 Sat Dec 13 17:15:00 2014 sqrtTime: 42 -- n: 4386670421056284181170810412489476278421272649745463617956138615073447070754285666707801799655954596811076608674189035613475603 m: 10000000000000000000000000000 deg: 5 c5: 59 c0: -5 skew: 0.61 # Murphy_E = 3.282e-09 type: snfs lss: 1 rlim: 1610000 alim: 1610000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 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	418	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 10, 2014 14:59:51 UTC 2014 年 12 月 10 日 (水) 23 時 59 分 51 秒 (日本時間)
40	3e6	410 / 2126	110	Ignacio Santos	December 10, 2014 14:59:51 UTC 2014 年 12 月 10 日 (水) 23 時 59 分 51 秒 (日本時間)
40	3e6	410 / 2126	300	Serge Batalov	December 10, 2014 19:47:52 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 52 秒 (日本時間)
45	11e6	32 / 4371		Ignacio Santos	December 10, 2014 14:59:51 UTC 2014 年 12 月 10 日 (水) 23 時 59 分 51 秒 (日本時間)

118×10¹⁴⁰-19

c112

name 名前	Cyp
date 日付	December 13, 2014 18:51:35 UTC 2014 年 12 月 14 日 (日) 3 時 51 分 35 秒 (日本時間)
composite number 合成数	6130029915325127052753877166109816112273450891425134422282223408234685337612823996784359968116704587784604347779<112>
prime factors 素因数	80454375118468864849595520398013881424703<41> 76192623537236768446524677677383726098625794120579153380109488260296893<71>
factorization results 素因数分解の結果	12/13/14 19:04:34 v1.34.3, 12/13/14 19:04:34 v1.34.3, ************************** 12/13/14 19:04:34 v1.34.3, Starting factorization of 6130029915325127052753877166109816112273450891425134422282223408234685337612823996784359968116704587784604347779 12/13/14 19:04:34 v1.34.3, using pretesting plan: none 12/13/14 19:04:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/13/14 19:04:34 v1.34.3, ************************** 12/13/14 19:04:34 v1.34.3, nfs: commencing nfs on c112: 6130029915325127052753877166109816112273450891425134422282223408234685337612823996784359968116704587784604347779 12/13/14 19:04:34 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/13/14 19:04:34 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 19:04:55 v1.34.3, nfs: commencing lattice sieving with 8 threads [116 lines snipped] 12/13/14 19:47:48 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 19:48:09 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 19:48:32 v1.34.3, nfs: commencing msieve filtering 12/13/14 19:49:25 v1.34.3, nfs: commencing msieve linear algebra 12/13/14 19:51:19 v1.34.3, nfs: commencing msieve sqrt 12/13/14 19:51:34 v1.34.3, prp71 = 76192623537236768446524677677383726098625794120579153380109488260296893 12/13/14 19:51:34 v1.34.3, prp41 = 80454375118468864849595520398013881424703 12/13/14 19:51:35 v1.34.3, NFS elapsed time = 2820.4600 seconds. 12/13/14 19:51:35 v1.34.3, 12/13/14 19:51:35 v1.34.3, 12/13/14 19:51:35 v1.34.3, Total factoring time = 2820.4605 seconds -- Sat Dec 13 19:48:32 2014 Sat Dec 13 19:48:32 2014 commencing relation filtering Sat Dec 13 19:48:32 2014 estimated available RAM is 15987.3 MB Sat Dec 13 19:48:32 2014 commencing duplicate removal, pass 1 Sat Dec 13 19:48:44 2014 found 728697 hash collisions in 4472627 relations Sat Dec 13 19:48:48 2014 added 177625 free relations Sat Dec 13 19:48:48 2014 commencing duplicate removal, pass 2 Sat Dec 13 19:48:52 2014 found 607232 duplicates and 4043020 unique relations Sat Dec 13 19:48:52 2014 memory use: 20.6 MB Sat Dec 13 19:48:52 2014 reading ideals above 100000 Sat Dec 13 19:48:52 2014 commencing singleton removal, initial pass Sat Dec 13 19:49:13 2014 memory use: 94.1 MB Sat Dec 13 19:49:13 2014 reading all ideals from disk Sat Dec 13 19:49:13 2014 memory use: 124.8 MB Sat Dec 13 19:49:13 2014 keeping 4487497 ideals with weight <= 200, target excess is 20187 Sat Dec 13 19:49:14 2014 commencing in-memory singleton removal Sat Dec 13 19:49:14 2014 begin with 4043020 relations and 4487497 unique ideals Sat Dec 13 19:49:15 2014 reduce to 1609118 relations and 1392212 ideals in 13 passes Sat Dec 13 19:49:15 2014 max relations containing the same ideal: 105 Sat Dec 13 19:49:16 2014 removing 394037 relations and 297292 ideals in 96745 cliques Sat Dec 13 19:49:16 2014 commencing in-memory singleton removal Sat Dec 13 19:49:16 2014 begin with 1215081 relations and 1392212 unique ideals Sat Dec 13 19:49:16 2014 reduce to 1146333 relations and 1020996 ideals in 8 passes Sat Dec 13 19:49:16 2014 max relations containing the same ideal: 84 Sat Dec 13 19:49:16 2014 removing 319368 relations and 222623 ideals in 96745 cliques Sat Dec 13 19:49:16 2014 commencing in-memory singleton removal Sat Dec 13 19:49:16 2014 begin with 826965 relations and 1020996 unique ideals Sat Dec 13 19:49:17 2014 reduce to 772630 relations and 739369 ideals in 7 passes Sat Dec 13 19:49:17 2014 max relations containing the same ideal: 64 Sat Dec 13 19:49:17 2014 removing 50276 relations and 40432 ideals in 9844 cliques Sat Dec 13 19:49:17 2014 commencing in-memory singleton removal Sat Dec 13 19:49:17 2014 begin with 722354 relations and 739369 unique ideals Sat Dec 13 19:49:17 2014 reduce to 720488 relations and 697053 ideals in 6 passes Sat Dec 13 19:49:17 2014 max relations containing the same ideal: 62 Sat Dec 13 19:49:17 2014 relations with 0 large ideals: 482 Sat Dec 13 19:49:17 2014 relations with 1 large ideals: 216 Sat Dec 13 19:49:17 2014 relations with 2 large ideals: 3850 Sat Dec 13 19:49:17 2014 relations with 3 large ideals: 26120 Sat Dec 13 19:49:17 2014 relations with 4 large ideals: 92510 Sat Dec 13 19:49:17 2014 relations with 5 large ideals: 183251 Sat Dec 13 19:49:17 2014 relations with 6 large ideals: 216092 Sat Dec 13 19:49:17 2014 relations with 7+ large ideals: 197967 Sat Dec 13 19:49:17 2014 commencing 2-way merge Sat Dec 13 19:49:17 2014 reduce to 459497 relation sets and 436062 unique ideals Sat Dec 13 19:49:17 2014 commencing full merge Sat Dec 13 19:49:22 2014 memory use: 56.0 MB Sat Dec 13 19:49:23 2014 found 233195 cycles, need 230262 Sat Dec 13 19:49:23 2014 weight of 230262 cycles is about 16178911 (70.26/cycle) Sat Dec 13 19:49:23 2014 distribution of cycle lengths: Sat Dec 13 19:49:23 2014 1 relations: 12583 Sat Dec 13 19:49:23 2014 2 relations: 20052 Sat Dec 13 19:49:23 2014 3 relations: 23564 Sat Dec 13 19:49:23 2014 4 relations: 23583 Sat Dec 13 19:49:23 2014 5 relations: 23253 Sat Dec 13 19:49:23 2014 6 relations: 21790 Sat Dec 13 19:49:23 2014 7 relations: 19741 Sat Dec 13 19:49:23 2014 8 relations: 17611 Sat Dec 13 19:49:23 2014 9 relations: 15124 Sat Dec 13 19:49:23 2014 10+ relations: 52961 Sat Dec 13 19:49:23 2014 heaviest cycle: 22 relations Sat Dec 13 19:49:23 2014 commencing cycle optimization Sat Dec 13 19:49:23 2014 start with 1542575 relations Sat Dec 13 19:49:25 2014 pruned 48186 relations Sat Dec 13 19:49:25 2014 memory use: 46.0 MB Sat Dec 13 19:49:25 2014 distribution of cycle lengths: Sat Dec 13 19:49:25 2014 1 relations: 12583 Sat Dec 13 19:49:25 2014 2 relations: 20476 Sat Dec 13 19:49:25 2014 3 relations: 24430 Sat Dec 13 19:49:25 2014 4 relations: 24392 Sat Dec 13 19:49:25 2014 5 relations: 24190 Sat Dec 13 19:49:25 2014 6 relations: 22547 Sat Dec 13 19:49:25 2014 7 relations: 20305 Sat Dec 13 19:49:25 2014 8 relations: 17856 Sat Dec 13 19:49:25 2014 9 relations: 15208 Sat Dec 13 19:49:25 2014 10+ relations: 48275 Sat Dec 13 19:49:25 2014 heaviest cycle: 21 relations Sat Dec 13 19:49:25 2014 RelProcTime: 53 Sat Dec 13 19:49:25 2014 Sat Dec 13 19:49:25 2014 commencing linear algebra Sat Dec 13 19:49:25 2014 read 230262 cycles Sat Dec 13 19:49:25 2014 cycles contain 708036 unique relations Sat Dec 13 19:49:30 2014 read 708036 relations Sat Dec 13 19:49:30 2014 using 20 quadratic characters above 67107884 Sat Dec 13 19:49:33 2014 building initial matrix Sat Dec 13 19:49:37 2014 memory use: 85.1 MB Sat Dec 13 19:49:37 2014 read 230262 cycles Sat Dec 13 19:49:37 2014 matrix is 230085 x 230262 (68.4 MB) with weight 20634855 (89.61/col) Sat Dec 13 19:49:37 2014 sparse part has weight 15391193 (66.84/col) Sat Dec 13 19:49:38 2014 filtering completed in 2 passes Sat Dec 13 19:49:38 2014 matrix is 230065 x 230242 (68.4 MB) with weight 20634291 (89.62/col) Sat Dec 13 19:49:38 2014 sparse part has weight 15391079 (66.85/col) Sat Dec 13 19:49:39 2014 matrix starts at (0, 0) Sat Dec 13 19:49:39 2014 matrix is 230065 x 230242 (68.4 MB) with weight 20634291 (89.62/col) Sat Dec 13 19:49:39 2014 sparse part has weight 15391079 (66.85/col) Sat Dec 13 19:49:39 2014 saving the first 48 matrix rows for later Sat Dec 13 19:49:39 2014 matrix includes 64 packed rows Sat Dec 13 19:49:39 2014 matrix is 230017 x 230242 (64.2 MB) with weight 16244361 (70.55/col) Sat Dec 13 19:49:39 2014 sparse part has weight 14533278 (63.12/col) Sat Dec 13 19:49:39 2014 using block size 65536 for processor cache size 8192 kB Sat Dec 13 19:49:39 2014 commencing Lanczos iteration (8 threads) Sat Dec 13 19:49:39 2014 memory use: 61.0 MB Sat Dec 13 19:49:44 2014 linear algebra at 5.3%, ETA 0h 1m Sat Dec 13 19:51:18 2014 lanczos halted after 3640 iterations (dim = 230014) Sat Dec 13 19:51:19 2014 recovered 35 nontrivial dependencies Sat Dec 13 19:51:19 2014 BLanczosTime: 114 Sat Dec 13 19:51:19 2014 Sat Dec 13 19:51:19 2014 commencing square root phase Sat Dec 13 19:51:19 2014 reading relations for dependency 1 Sat Dec 13 19:51:19 2014 read 115142 cycles Sat Dec 13 19:51:19 2014 cycles contain 354280 unique relations Sat Dec 13 19:51:22 2014 read 354280 relations Sat Dec 13 19:51:23 2014 multiplying 354280 relations Sat Dec 13 19:51:28 2014 multiply complete, coefficients have about 8.97 million bits Sat Dec 13 19:51:28 2014 initial square root is modulo 143261 Sat Dec 13 19:51:34 2014 sqrtTime: 15 -- n: 6130029915325127052753877166109816112273450891425134422282223408234685337612823996784359968116704587784604347779 m: 10000000000000000000000000000 deg: 5 c5: 118 c0: -1 skew: 0.39 # Murphy_E = 3.615e-09 type: snfs lss: 1 rlim: 1630000 alim: 1630000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 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	418	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 10, 2014 16:36:35 UTC 2014 年 12 月 11 日 (木) 1 時 36 分 35 秒 (日本時間)
40	3e6	410 / 2126	110	Ignacio Santos	December 10, 2014 16:36:35 UTC 2014 年 12 月 11 日 (木) 1 時 36 分 35 秒 (日本時間)
40	3e6	410 / 2126	300	Serge Batalov	December 10, 2014 19:47:53 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 53 秒 (日本時間)
45	11e6	32 / 4371		Ignacio Santos	December 10, 2014 16:36:35 UTC 2014 年 12 月 11 日 (木) 1 時 36 分 35 秒 (日本時間)

118×10¹⁴¹-19

c130

name 名前	Cyp
date 日付	December 13, 2014 23:09:07 UTC 2014 年 12 月 14 日 (日) 8 時 9 分 7 秒 (日本時間)
composite number 合成数	3007320083616771822909203262764157399694569101242985535255486557014645155679023076450893792115863723184715226553835079268306691561<130>
prime factors 素因数	946734156628353038243170077410429387763333931263633238112591<60> 3176520106052660218198040154572246392327204006715654807546037454073671<70>
factorization results 素因数分解の結果	12/13/14 23:26:33 v1.34.3, 12/13/14 23:26:33 v1.34.3, ************************** 12/13/14 23:26:33 v1.34.3, Starting factorization of 3007320083616771822909203262764157399694569101242985535255486557014645155679023076450893792115863723184715226553835079268306691561 12/13/14 23:26:33 v1.34.3, using pretesting plan: none 12/13/14 23:26:33 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/13/14 23:26:33 v1.34.3, ************************** 12/13/14 23:26:33 v1.34.3, nfs: commencing nfs on c130: 3007320083616771822909203262764157399694569101242985535255486557014645155679023076450893792115863723184715226553835079268306691561 12/13/14 23:26:33 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/13/14 23:26:33 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 23:27:26 v1.34.3, nfs: commencing lattice sieving with 8 threads [45 lines snipped] 12/14/14 00:04:53 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 00:05:42 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 00:06:30 v1.34.3, nfs: commencing msieve filtering 12/14/14 00:07:14 v1.34.3, nfs: commencing msieve linear algebra 12/14/14 00:08:34 v1.34.3, nfs: commencing msieve sqrt 12/14/14 00:09:06 v1.34.3, prp60 = 946734156628353038243170077410429387763333931263633238112591 12/14/14 00:09:06 v1.34.3, prp70 = 3176520106052660218198040154572246392327204006715654807546037454073671 12/14/14 00:09:06 v1.34.3, NFS elapsed time = 2553.3721 seconds. 12/14/14 00:09:06 v1.34.3, 12/14/14 00:09:06 v1.34.3, 12/14/14 00:09:06 v1.34.3, Total factoring time = 2553.3728 seconds -- Sun Dec 14 00:06:30 2014 Sun Dec 14 00:06:30 2014 commencing relation filtering Sun Dec 14 00:06:30 2014 estimated available RAM is 15987.3 MB Sun Dec 14 00:06:30 2014 commencing duplicate removal, pass 1 Sun Dec 14 00:06:42 2014 found 611212 hash collisions in 4474866 relations Sun Dec 14 00:06:46 2014 added 180707 free relations Sun Dec 14 00:06:46 2014 commencing duplicate removal, pass 2 Sun Dec 14 00:06:49 2014 found 445003 duplicates and 4210570 unique relations Sun Dec 14 00:06:49 2014 memory use: 20.6 MB Sun Dec 14 00:06:49 2014 reading ideals above 100000 Sun Dec 14 00:06:49 2014 commencing singleton removal, initial pass Sun Dec 14 00:07:06 2014 memory use: 94.1 MB Sun Dec 14 00:07:06 2014 reading all ideals from disk Sun Dec 14 00:07:06 2014 memory use: 133.8 MB Sun Dec 14 00:07:06 2014 keeping 4564752 ideals with weight <= 200, target excess is 21788 Sun Dec 14 00:07:06 2014 commencing in-memory singleton removal Sun Dec 14 00:07:06 2014 begin with 4210570 relations and 4564752 unique ideals Sun Dec 14 00:07:07 2014 reduce to 1794619 relations and 1515106 ideals in 12 passes Sun Dec 14 00:07:07 2014 max relations containing the same ideal: 111 Sun Dec 14 00:07:07 2014 removing 467644 relations and 340525 ideals in 127119 cliques Sun Dec 14 00:07:07 2014 commencing in-memory singleton removal Sun Dec 14 00:07:07 2014 begin with 1326975 relations and 1515106 unique ideals Sun Dec 14 00:07:08 2014 reduce to 1241916 relations and 1081937 ideals in 9 passes Sun Dec 14 00:07:08 2014 max relations containing the same ideal: 87 Sun Dec 14 00:07:08 2014 removing 388255 relations and 261136 ideals in 127119 cliques Sun Dec 14 00:07:08 2014 commencing in-memory singleton removal Sun Dec 14 00:07:08 2014 begin with 853661 relations and 1081937 unique ideals Sun Dec 14 00:07:08 2014 reduce to 778365 relations and 737661 ideals in 8 passes Sun Dec 14 00:07:08 2014 max relations containing the same ideal: 65 Sun Dec 14 00:07:08 2014 removing 73457 relations and 58028 ideals in 15429 cliques Sun Dec 14 00:07:08 2014 commencing in-memory singleton removal Sun Dec 14 00:07:08 2014 begin with 704908 relations and 737661 unique ideals Sun Dec 14 00:07:08 2014 reduce to 700152 relations and 674791 ideals in 6 passes Sun Dec 14 00:07:08 2014 max relations containing the same ideal: 61 Sun Dec 14 00:07:08 2014 relations with 0 large ideals: 481 Sun Dec 14 00:07:08 2014 relations with 1 large ideals: 151 Sun Dec 14 00:07:08 2014 relations with 2 large ideals: 2940 Sun Dec 14 00:07:08 2014 relations with 3 large ideals: 21208 Sun Dec 14 00:07:08 2014 relations with 4 large ideals: 80223 Sun Dec 14 00:07:08 2014 relations with 5 large ideals: 167195 Sun Dec 14 00:07:08 2014 relations with 6 large ideals: 210021 Sun Dec 14 00:07:08 2014 relations with 7+ large ideals: 217933 Sun Dec 14 00:07:08 2014 commencing 2-way merge Sun Dec 14 00:07:08 2014 reduce to 439446 relation sets and 414085 unique ideals Sun Dec 14 00:07:08 2014 commencing full merge Sun Dec 14 00:07:13 2014 memory use: 55.2 MB Sun Dec 14 00:07:13 2014 found 223524 cycles, need 220285 Sun Dec 14 00:07:13 2014 weight of 220285 cycles is about 15604663 (70.84/cycle) Sun Dec 14 00:07:13 2014 distribution of cycle lengths: Sun Dec 14 00:07:13 2014 1 relations: 15676 Sun Dec 14 00:07:13 2014 2 relations: 20043 Sun Dec 14 00:07:13 2014 3 relations: 21947 Sun Dec 14 00:07:13 2014 4 relations: 22335 Sun Dec 14 00:07:13 2014 5 relations: 21740 Sun Dec 14 00:07:13 2014 6 relations: 20469 Sun Dec 14 00:07:13 2014 7 relations: 18804 Sun Dec 14 00:07:13 2014 8 relations: 16472 Sun Dec 14 00:07:13 2014 9 relations: 14040 Sun Dec 14 00:07:13 2014 10+ relations: 48759 Sun Dec 14 00:07:13 2014 heaviest cycle: 21 relations Sun Dec 14 00:07:13 2014 commencing cycle optimization Sun Dec 14 00:07:13 2014 start with 1441314 relations Sun Dec 14 00:07:14 2014 pruned 46823 relations Sun Dec 14 00:07:14 2014 memory use: 43.7 MB Sun Dec 14 00:07:14 2014 distribution of cycle lengths: Sun Dec 14 00:07:14 2014 1 relations: 15676 Sun Dec 14 00:07:14 2014 2 relations: 20422 Sun Dec 14 00:07:14 2014 3 relations: 22783 Sun Dec 14 00:07:14 2014 4 relations: 23066 Sun Dec 14 00:07:14 2014 5 relations: 22706 Sun Dec 14 00:07:14 2014 6 relations: 21155 Sun Dec 14 00:07:14 2014 7 relations: 19472 Sun Dec 14 00:07:14 2014 8 relations: 16733 Sun Dec 14 00:07:14 2014 9 relations: 14074 Sun Dec 14 00:07:14 2014 10+ relations: 44198 Sun Dec 14 00:07:14 2014 heaviest cycle: 21 relations Sun Dec 14 00:07:14 2014 RelProcTime: 44 Sun Dec 14 00:07:14 2014 Sun Dec 14 00:07:14 2014 commencing linear algebra Sun Dec 14 00:07:14 2014 read 220285 cycles Sun Dec 14 00:07:14 2014 cycles contain 685433 unique relations Sun Dec 14 00:07:18 2014 read 685433 relations Sun Dec 14 00:07:19 2014 using 20 quadratic characters above 67093472 Sun Dec 14 00:07:21 2014 building initial matrix Sun Dec 14 00:07:24 2014 memory use: 83.4 MB Sun Dec 14 00:07:24 2014 read 220285 cycles Sun Dec 14 00:07:24 2014 matrix is 220123 x 220285 (65.7 MB) with weight 19885055 (90.27/col) Sun Dec 14 00:07:24 2014 sparse part has weight 14803727 (67.20/col) Sun Dec 14 00:07:25 2014 filtering completed in 2 passes Sun Dec 14 00:07:25 2014 matrix is 220070 x 220241 (65.7 MB) with weight 19883122 (90.28/col) Sun Dec 14 00:07:25 2014 sparse part has weight 14802793 (67.21/col) Sun Dec 14 00:07:25 2014 matrix starts at (0, 0) Sun Dec 14 00:07:25 2014 matrix is 220070 x 220241 (65.7 MB) with weight 19883122 (90.28/col) Sun Dec 14 00:07:25 2014 sparse part has weight 14802793 (67.21/col) Sun Dec 14 00:07:25 2014 saving the first 48 matrix rows for later Sun Dec 14 00:07:25 2014 matrix includes 64 packed rows Sun Dec 14 00:07:25 2014 matrix is 220022 x 220241 (62.0 MB) with weight 15765382 (71.58/col) Sun Dec 14 00:07:25 2014 sparse part has weight 14057943 (63.83/col) Sun Dec 14 00:07:25 2014 using block size 65536 for processor cache size 8192 kB Sun Dec 14 00:07:26 2014 commencing Lanczos iteration (8 threads) Sun Dec 14 00:07:26 2014 memory use: 59.0 MB Sun Dec 14 00:07:30 2014 linear algebra at 5.5%, ETA 0h 1m Sun Dec 14 00:08:33 2014 lanczos halted after 3481 iterations (dim = 220015) Sun Dec 14 00:08:34 2014 recovered 35 nontrivial dependencies Sun Dec 14 00:08:34 2014 BLanczosTime: 80 Sun Dec 14 00:08:34 2014 Sun Dec 14 00:08:34 2014 commencing square root phase Sun Dec 14 00:08:34 2014 reading relations for dependency 1 Sun Dec 14 00:08:34 2014 read 109748 cycles Sun Dec 14 00:08:34 2014 cycles contain 341646 unique relations Sun Dec 14 00:08:37 2014 read 341646 relations Sun Dec 14 00:08:38 2014 multiplying 341646 relations Sun Dec 14 00:08:43 2014 multiply complete, coefficients have about 9.94 million bits Sun Dec 14 00:08:43 2014 initial square root is modulo 516371 Sun Dec 14 00:08:50 2014 GCD is 1, no factor found Sun Dec 14 00:08:50 2014 reading relations for dependency 2 Sun Dec 14 00:08:50 2014 read 109869 cycles Sun Dec 14 00:08:50 2014 cycles contain 342642 unique relations Sun Dec 14 00:08:53 2014 read 342642 relations Sun Dec 14 00:08:54 2014 multiplying 342642 relations Sun Dec 14 00:08:59 2014 multiply complete, coefficients have about 9.97 million bits Sun Dec 14 00:08:59 2014 initial square root is modulo 535991 Sun Dec 14 00:09:06 2014 sqrtTime: 32 -- n: 3007320083616771822909203262764157399694569101242985535255486557014645155679023076450893792115863723184715226553835079268306691561 m: 10000000000000000000000000000 deg: 5 c5: 1180 c0: -1 skew: 0.24 # Murphy_E = 2.819e-09 type: snfs lss: 1 rlim: 1700000 alim: 1700000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 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	418	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 10, 2014 17:30:22 UTC 2014 年 12 月 11 日 (木) 2 時 30 分 22 秒 (日本時間)
40	3e6	410 / 2126	110	Ignacio Santos	December 10, 2014 17:30:22 UTC 2014 年 12 月 11 日 (木) 2 時 30 分 22 秒 (日本時間)
40	3e6	410 / 2126	300	Serge Batalov	December 10, 2014 19:47:53 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 53 秒 (日本時間)
45	11e6	32 / 4371		Ignacio Santos	December 10, 2014 17:30:22 UTC 2014 年 12 月 11 日 (木) 2 時 30 分 22 秒 (日本時間)

118×10¹⁴²-19

c136

name 名前	Dmitry Domanov
date 日付	December 14, 2014 09:50:37 UTC 2014 年 12 月 14 日 (日) 18 時 50 分 37 秒 (日本時間)
composite number 合成数	7619692470115937430779049045978018620759078542324159759560733252821596336808306999062706795144238615241517162650207304388304229239920243<136>
prime factors 素因数	153477650672162761237844559555834956419<39> 49646918862421514541450010055916357447756196950680497621550959663061238423760223609842522537820497<98>
factorization results 素因数分解の結果	N=7619692470115937430779049045978018620759078542324159759560733252821596336808306999062706795144238615241517162650207304388304229239920243 ( 136 digits) SNFS difficulty: 144 digits. Divisors found: r1=153477650672162761237844559555834956419 (pp39) r2=49646918862421514541450010055916357447756196950680497621550959663061238423760223609842522537820497 (pp98) Version: Msieve v. 1.50 (SVN unknown) Total time: 6.22 hours. Scaled time: 12.97 units (timescale=2.086). Factorization parameters were as follows: n: 7619692470115937430779049045978018620759078542324159759560733252821596336808306999062706795144238615241517162650207304388304229239920243 m: 10000000000000000000000000000 deg: 5 c5: 11800 c0: -1 skew: 0.15 # Murphy_E = 2.067e-09 type: snfs lss: 1 rlim: 1760000 alim: 1760000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1760000/1760000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [880000, 2080001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 281108 x 281333 Total sieving time: 6.05 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.08 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,144.000,5,0,0,0,0,0,0,0,0,1760000,1760000,26,26,49,49,2.3,2.3,100000 total time: 6.22 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 10, 2014 18:06:26 UTC 2014 年 12 月 11 日 (木) 3 時 6 分 26 秒 (日本時間)
40	3e6	410 / 2126	110	Ignacio Santos	December 10, 2014 18:06:26 UTC 2014 年 12 月 11 日 (木) 3 時 6 分 26 秒 (日本時間)
40	3e6	410 / 2126	300	Serge Batalov	December 10, 2014 19:47:53 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 53 秒 (日本時間)
45	11e6	32 / 4371		Ignacio Santos	December 10, 2014 18:06:26 UTC 2014 年 12 月 11 日 (木) 3 時 6 分 26 秒 (日本時間)

118×10¹⁴³-19

c118

name 名前	Cyp
date 日付	December 14, 2014 05:27:55 UTC 2014 年 12 月 14 日 (日) 14 時 27 分 55 秒 (日本時間)
composite number 合成数	1744281095691065941476911213666921999745771329537156000359162592868654720248079061358499439100609399317739926992915653<118>
prime factors 素因数	266843777864875749453478120449851936660794849013743021<54> 6536712640061385797060564783267841685817301402392454271380700793<64>
factorization results 素因数分解の結果	12/14/14 05:33:02 v1.34.3, 12/14/14 05:33:02 v1.34.3, ************************** 12/14/14 05:33:02 v1.34.3, Starting factorization of 1744281095691065941476911213666921999745771329537156000359162592868654720248079061358499439100609399317739926992915653 12/14/14 05:33:02 v1.34.3, using pretesting plan: none 12/14/14 05:33:02 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/14/14 05:33:02 v1.34.3, ************************** 12/14/14 05:33:02 v1.34.3, nfs: commencing nfs on c118: 1744281095691065941476911213666921999745771329537156000359162592868654720248079061358499439100609399317739926992915653 12/14/14 05:33:02 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/14/14 05:33:02 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 05:33:45 v1.34.3, nfs: commencing lattice sieving with 8 threads [63 lines snipped] 12/14/14 06:22:59 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 06:23:46 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 06:24:32 v1.34.3, nfs: commencing msieve filtering 12/14/14 06:25:19 v1.34.3, nfs: commencing msieve linear algebra 12/14/14 06:27:30 v1.34.3, nfs: commencing msieve sqrt 12/14/14 06:27:54 v1.34.3, prp54 = 266843777864875749453478120449851936660794849013743021 12/14/14 06:27:54 v1.34.3, prp64 = 6536712640061385797060564783267841685817301402392454271380700793 12/14/14 06:27:54 v1.34.3, NFS elapsed time = 3292.2488 seconds. 12/14/14 06:27:54 v1.34.3, 12/14/14 06:27:54 v1.34.3, 12/14/14 06:27:54 v1.34.3, Total factoring time = 3292.2493 seconds -- Sun Dec 14 06:24:32 2014 Sun Dec 14 06:24:32 2014 commencing relation filtering Sun Dec 14 06:24:32 2014 estimated available RAM is 15987.3 MB Sun Dec 14 06:24:32 2014 commencing duplicate removal, pass 1 Sun Dec 14 06:24:44 2014 found 666524 hash collisions in 4499080 relations Sun Dec 14 06:24:48 2014 added 182645 free relations Sun Dec 14 06:24:48 2014 commencing duplicate removal, pass 2 Sun Dec 14 06:24:51 2014 found 517697 duplicates and 4164028 unique relations Sun Dec 14 06:24:51 2014 memory use: 20.6 MB Sun Dec 14 06:24:51 2014 reading ideals above 100000 Sun Dec 14 06:24:51 2014 commencing singleton removal, initial pass Sun Dec 14 06:25:08 2014 memory use: 94.1 MB Sun Dec 14 06:25:08 2014 reading all ideals from disk Sun Dec 14 06:25:08 2014 memory use: 134.4 MB Sun Dec 14 06:25:08 2014 keeping 4673605 ideals with weight <= 200, target excess is 21681 Sun Dec 14 06:25:08 2014 commencing in-memory singleton removal Sun Dec 14 06:25:08 2014 begin with 4164028 relations and 4673605 unique ideals Sun Dec 14 06:25:09 2014 reduce to 1630515 relations and 1477654 ideals in 14 passes Sun Dec 14 06:25:09 2014 max relations containing the same ideal: 109 Sun Dec 14 06:25:10 2014 removing 324876 relations and 261020 ideals in 63856 cliques Sun Dec 14 06:25:10 2014 commencing in-memory singleton removal Sun Dec 14 06:25:10 2014 begin with 1305639 relations and 1477654 unique ideals Sun Dec 14 06:25:10 2014 reduce to 1255219 relations and 1163691 ideals in 8 passes Sun Dec 14 06:25:10 2014 max relations containing the same ideal: 90 Sun Dec 14 06:25:10 2014 removing 258214 relations and 194358 ideals in 63856 cliques Sun Dec 14 06:25:10 2014 commencing in-memory singleton removal Sun Dec 14 06:25:10 2014 begin with 997005 relations and 1163691 unique ideals Sun Dec 14 06:25:10 2014 reduce to 957982 relations and 928325 ideals in 8 passes Sun Dec 14 06:25:10 2014 max relations containing the same ideal: 75 Sun Dec 14 06:25:11 2014 relations with 0 large ideals: 469 Sun Dec 14 06:25:11 2014 relations with 1 large ideals: 148 Sun Dec 14 06:25:11 2014 relations with 2 large ideals: 2329 Sun Dec 14 06:25:11 2014 relations with 3 large ideals: 19250 Sun Dec 14 06:25:11 2014 relations with 4 large ideals: 82294 Sun Dec 14 06:25:11 2014 relations with 5 large ideals: 196829 Sun Dec 14 06:25:11 2014 relations with 6 large ideals: 288222 Sun Dec 14 06:25:11 2014 relations with 7+ large ideals: 368441 Sun Dec 14 06:25:11 2014 commencing 2-way merge Sun Dec 14 06:25:11 2014 reduce to 585295 relation sets and 555638 unique ideals Sun Dec 14 06:25:11 2014 commencing full merge Sun Dec 14 06:25:17 2014 memory use: 73.9 MB Sun Dec 14 06:25:17 2014 found 295003 cycles, need 287838 Sun Dec 14 06:25:17 2014 weight of 287838 cycles is about 20236325 (70.30/cycle) Sun Dec 14 06:25:17 2014 distribution of cycle lengths: Sun Dec 14 06:25:17 2014 1 relations: 25550 Sun Dec 14 06:25:17 2014 2 relations: 29182 Sun Dec 14 06:25:17 2014 3 relations: 30090 Sun Dec 14 06:25:17 2014 4 relations: 28861 Sun Dec 14 06:25:17 2014 5 relations: 27345 Sun Dec 14 06:25:17 2014 6 relations: 24843 Sun Dec 14 06:25:17 2014 7 relations: 22114 Sun Dec 14 06:25:17 2014 8 relations: 19668 Sun Dec 14 06:25:17 2014 9 relations: 16740 Sun Dec 14 06:25:17 2014 10+ relations: 63445 Sun Dec 14 06:25:17 2014 heaviest cycle: 21 relations Sun Dec 14 06:25:17 2014 commencing cycle optimization Sun Dec 14 06:25:17 2014 start with 1836143 relations Sun Dec 14 06:25:19 2014 pruned 53109 relations Sun Dec 14 06:25:19 2014 memory use: 57.2 MB Sun Dec 14 06:25:19 2014 distribution of cycle lengths: Sun Dec 14 06:25:19 2014 1 relations: 25550 Sun Dec 14 06:25:19 2014 2 relations: 29771 Sun Dec 14 06:25:19 2014 3 relations: 31161 Sun Dec 14 06:25:19 2014 4 relations: 29639 Sun Dec 14 06:25:19 2014 5 relations: 28276 Sun Dec 14 06:25:19 2014 6 relations: 25530 Sun Dec 14 06:25:19 2014 7 relations: 22765 Sun Dec 14 06:25:19 2014 8 relations: 20014 Sun Dec 14 06:25:19 2014 9 relations: 16726 Sun Dec 14 06:25:19 2014 10+ relations: 58406 Sun Dec 14 06:25:19 2014 heaviest cycle: 21 relations Sun Dec 14 06:25:19 2014 RelProcTime: 47 Sun Dec 14 06:25:19 2014 Sun Dec 14 06:25:19 2014 commencing linear algebra Sun Dec 14 06:25:19 2014 read 287838 cycles Sun Dec 14 06:25:19 2014 cycles contain 915359 unique relations Sun Dec 14 06:25:24 2014 read 915359 relations Sun Dec 14 06:25:24 2014 using 20 quadratic characters above 67107318 Sun Dec 14 06:25:27 2014 building initial matrix Sun Dec 14 06:25:31 2014 memory use: 108.1 MB Sun Dec 14 06:25:32 2014 read 287838 cycles Sun Dec 14 06:25:32 2014 matrix is 287670 x 287838 (85.6 MB) with weight 25317697 (87.96/col) Sun Dec 14 06:25:32 2014 sparse part has weight 19260788 (66.92/col) Sun Dec 14 06:25:33 2014 filtering completed in 2 passes Sun Dec 14 06:25:33 2014 matrix is 287462 x 287638 (85.5 MB) with weight 25308774 (87.99/col) Sun Dec 14 06:25:33 2014 sparse part has weight 19256218 (66.95/col) Sun Dec 14 06:25:33 2014 matrix starts at (0, 0) Sun Dec 14 06:25:33 2014 matrix is 287462 x 287638 (85.5 MB) with weight 25308774 (87.99/col) Sun Dec 14 06:25:33 2014 sparse part has weight 19256218 (66.95/col) Sun Dec 14 06:25:33 2014 saving the first 48 matrix rows for later Sun Dec 14 06:25:33 2014 matrix includes 64 packed rows Sun Dec 14 06:25:33 2014 matrix is 287414 x 287638 (80.1 MB) with weight 20001993 (69.54/col) Sun Dec 14 06:25:33 2014 sparse part has weight 18115374 (62.98/col) Sun Dec 14 06:25:33 2014 using block size 65536 for processor cache size 8192 kB Sun Dec 14 06:25:34 2014 commencing Lanczos iteration (8 threads) Sun Dec 14 06:25:34 2014 memory use: 76.7 MB Sun Dec 14 06:25:39 2014 linear algebra at 4.2%, ETA 0h 1m Sun Dec 14 06:27:30 2014 lanczos halted after 4546 iterations (dim = 287411) Sun Dec 14 06:27:30 2014 recovered 37 nontrivial dependencies Sun Dec 14 06:27:30 2014 BLanczosTime: 131 Sun Dec 14 06:27:30 2014 Sun Dec 14 06:27:30 2014 commencing square root phase Sun Dec 14 06:27:30 2014 reading relations for dependency 1 Sun Dec 14 06:27:30 2014 read 144015 cycles Sun Dec 14 06:27:30 2014 cycles contain 458114 unique relations Sun Dec 14 06:27:34 2014 read 458114 relations Sun Dec 14 06:27:35 2014 multiplying 458114 relations Sun Dec 14 06:27:43 2014 multiply complete, coefficients have about 16.14 million bits Sun Dec 14 06:27:43 2014 initial square root is modulo 1874565391 Sun Dec 14 06:27:54 2014 sqrtTime: 24 -- n: 1744281095691065941476911213666921999745771329537156000359162592868654720248079061358499439100609399317739926992915653 m: 10000000000000000000000000000 deg: 5 c5: 118000 c0: -1 skew: 0.10 # Murphy_E = 1.826e-09 type: snfs lss: 1 rlim: 1830000 alim: 1830000 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	118		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:47:54 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 54 秒 (日本時間)

118×10¹⁴⁵-19

c119

name 名前	Cyp
date 日付	December 14, 2014 12:31:38 UTC 2014 年 12 月 14 日 (日) 21 時 31 分 38 秒 (日本時間)
composite number 合成数	11770786143357286693219946009462269781284646995813583158723736575848718881715677555326011325840784154618073763508539337<119>
prime factors 素因数	1813194603040322785380483387164061120637<40> 6491739013352623405221120216582778079979017450421936604620637344745224283415101<79>
factorization results 素因数分解の結果	12/14/14 12:47:34 v1.34.3, 12/14/14 12:47:34 v1.34.3, ************************** 12/14/14 12:47:34 v1.34.3, Starting factorization of 11770786143357286693219946009462269781284646995813583158723736575848718881715677555326011325840784154618073763508539337 12/14/14 12:47:34 v1.34.3, using pretesting plan: none 12/14/14 12:47:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/14/14 12:47:34 v1.34.3, ************************** 12/14/14 12:47:34 v1.34.3, nfs: commencing nfs on c119: 11770786143357286693219946009462269781284646995813583158723736575848718881715677555326011325840784154618073763508539337 12/14/14 12:47:34 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/14/14 12:47:34 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 12:48:22 v1.34.3, nfs: commencing lattice sieving with 8 threads [45 lines snipped] 12/14/14 13:26:41 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 13:27:33 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 13:28:25 v1.34.3, nfs: commencing msieve filtering 12/14/14 13:29:11 v1.34.3, nfs: commencing msieve linear algebra 12/14/14 13:31:00 v1.34.3, nfs: commencing msieve sqrt 12/14/14 13:31:37 v1.34.3, prp40 = 1813194603040322785380483387164061120637 12/14/14 13:31:37 v1.34.3, prp79 = 6491739013352623405221120216582778079979017450421936604620637344745224283415101 12/14/14 13:31:37 v1.34.3, NFS elapsed time = 2643.1420 seconds. 12/14/14 13:31:37 v1.34.3, 12/14/14 13:31:37 v1.34.3, 12/14/14 13:31:37 v1.34.3, Total factoring time = 2643.1426 seconds -- Sun Dec 14 13:28:25 2014 Sun Dec 14 13:28:25 2014 commencing relation filtering Sun Dec 14 13:28:25 2014 estimated available RAM is 15987.3 MB Sun Dec 14 13:28:25 2014 commencing duplicate removal, pass 1 Sun Dec 14 13:28:36 2014 found 589632 hash collisions in 4488157 relations Sun Dec 14 13:28:40 2014 added 183670 free relations Sun Dec 14 13:28:40 2014 commencing duplicate removal, pass 2 Sun Dec 14 13:28:43 2014 found 414984 duplicates and 4256843 unique relations Sun Dec 14 13:28:43 2014 memory use: 20.6 MB Sun Dec 14 13:28:43 2014 reading ideals above 100000 Sun Dec 14 13:28:43 2014 commencing singleton removal, initial pass Sun Dec 14 13:29:00 2014 memory use: 94.1 MB Sun Dec 14 13:29:00 2014 reading all ideals from disk Sun Dec 14 13:29:00 2014 memory use: 136.5 MB Sun Dec 14 13:29:00 2014 keeping 4719242 ideals with weight <= 200, target excess is 21704 Sun Dec 14 13:29:00 2014 commencing in-memory singleton removal Sun Dec 14 13:29:00 2014 begin with 4256843 relations and 4719242 unique ideals Sun Dec 14 13:29:01 2014 reduce to 1716199 relations and 1523549 ideals in 13 passes Sun Dec 14 13:29:01 2014 max relations containing the same ideal: 116 Sun Dec 14 13:29:02 2014 removing 383201 relations and 299464 ideals in 83737 cliques Sun Dec 14 13:29:02 2014 commencing in-memory singleton removal Sun Dec 14 13:29:02 2014 begin with 1332998 relations and 1523549 unique ideals Sun Dec 14 13:29:02 2014 reduce to 1266799 relations and 1153746 ideals in 9 passes Sun Dec 14 13:29:02 2014 max relations containing the same ideal: 92 Sun Dec 14 13:29:02 2014 removing 309326 relations and 225589 ideals in 83737 cliques Sun Dec 14 13:29:02 2014 commencing in-memory singleton removal Sun Dec 14 13:29:02 2014 begin with 957473 relations and 1153746 unique ideals Sun Dec 14 13:29:02 2014 reduce to 901888 relations and 868810 ideals in 8 passes Sun Dec 14 13:29:02 2014 max relations containing the same ideal: 75 Sun Dec 14 13:29:03 2014 relations with 0 large ideals: 507 Sun Dec 14 13:29:03 2014 relations with 1 large ideals: 156 Sun Dec 14 13:29:03 2014 relations with 2 large ideals: 2563 Sun Dec 14 13:29:03 2014 relations with 3 large ideals: 20504 Sun Dec 14 13:29:03 2014 relations with 4 large ideals: 84268 Sun Dec 14 13:29:03 2014 relations with 5 large ideals: 195054 Sun Dec 14 13:29:03 2014 relations with 6 large ideals: 272783 Sun Dec 14 13:29:03 2014 relations with 7+ large ideals: 326053 Sun Dec 14 13:29:03 2014 commencing 2-way merge Sun Dec 14 13:29:03 2014 reduce to 549494 relation sets and 516416 unique ideals Sun Dec 14 13:29:03 2014 commencing full merge Sun Dec 14 13:29:09 2014 memory use: 68.7 MB Sun Dec 14 13:29:09 2014 found 270877 cycles, need 260616 Sun Dec 14 13:29:09 2014 weight of 260616 cycles is about 18495320 (70.97/cycle) Sun Dec 14 13:29:09 2014 distribution of cycle lengths: Sun Dec 14 13:29:09 2014 1 relations: 22820 Sun Dec 14 13:29:09 2014 2 relations: 24776 Sun Dec 14 13:29:09 2014 3 relations: 25862 Sun Dec 14 13:29:09 2014 4 relations: 25316 Sun Dec 14 13:29:09 2014 5 relations: 24297 Sun Dec 14 13:29:09 2014 6 relations: 22240 Sun Dec 14 13:29:09 2014 7 relations: 20625 Sun Dec 14 13:29:09 2014 8 relations: 18286 Sun Dec 14 13:29:09 2014 9 relations: 15969 Sun Dec 14 13:29:09 2014 10+ relations: 60425 Sun Dec 14 13:29:09 2014 heaviest cycle: 21 relations Sun Dec 14 13:29:09 2014 commencing cycle optimization Sun Dec 14 13:29:09 2014 start with 1696746 relations Sun Dec 14 13:29:11 2014 pruned 51034 relations Sun Dec 14 13:29:11 2014 memory use: 52.7 MB Sun Dec 14 13:29:11 2014 distribution of cycle lengths: Sun Dec 14 13:29:11 2014 1 relations: 22820 Sun Dec 14 13:29:11 2014 2 relations: 25327 Sun Dec 14 13:29:11 2014 3 relations: 26802 Sun Dec 14 13:29:11 2014 4 relations: 26031 Sun Dec 14 13:29:11 2014 5 relations: 25315 Sun Dec 14 13:29:11 2014 6 relations: 22988 Sun Dec 14 13:29:11 2014 7 relations: 21203 Sun Dec 14 13:29:11 2014 8 relations: 18618 Sun Dec 14 13:29:11 2014 9 relations: 16089 Sun Dec 14 13:29:11 2014 10+ relations: 55423 Sun Dec 14 13:29:11 2014 heaviest cycle: 20 relations Sun Dec 14 13:29:11 2014 RelProcTime: 46 Sun Dec 14 13:29:11 2014 Sun Dec 14 13:29:11 2014 commencing linear algebra Sun Dec 14 13:29:11 2014 read 260616 cycles Sun Dec 14 13:29:11 2014 cycles contain 842744 unique relations Sun Dec 14 13:29:15 2014 read 842744 relations Sun Dec 14 13:29:16 2014 using 20 quadratic characters above 67108388 Sun Dec 14 13:29:18 2014 building initial matrix Sun Dec 14 13:29:22 2014 memory use: 100.7 MB Sun Dec 14 13:29:22 2014 read 260616 cycles Sun Dec 14 13:29:22 2014 matrix is 260447 x 260616 (77.9 MB) with weight 23473278 (90.07/col) Sun Dec 14 13:29:22 2014 sparse part has weight 17566369 (67.40/col) Sun Dec 14 13:29:23 2014 filtering completed in 2 passes Sun Dec 14 13:29:23 2014 matrix is 260156 x 260334 (77.9 MB) with weight 23460970 (90.12/col) Sun Dec 14 13:29:23 2014 sparse part has weight 17560684 (67.45/col) Sun Dec 14 13:29:24 2014 matrix starts at (0, 0) Sun Dec 14 13:29:24 2014 matrix is 260156 x 260334 (77.9 MB) with weight 23460970 (90.12/col) Sun Dec 14 13:29:24 2014 sparse part has weight 17560684 (67.45/col) Sun Dec 14 13:29:24 2014 saving the first 48 matrix rows for later Sun Dec 14 13:29:24 2014 matrix includes 64 packed rows Sun Dec 14 13:29:24 2014 matrix is 260108 x 260334 (73.3 MB) with weight 18497574 (71.05/col) Sun Dec 14 13:29:24 2014 sparse part has weight 16616107 (63.83/col) Sun Dec 14 13:29:24 2014 using block size 65536 for processor cache size 8192 kB Sun Dec 14 13:29:24 2014 commencing Lanczos iteration (8 threads) Sun Dec 14 13:29:24 2014 memory use: 70.0 MB Sun Dec 14 13:29:29 2014 linear algebra at 4.7%, ETA 0h 1m Sun Dec 14 13:31:00 2014 lanczos halted after 4115 iterations (dim = 260104) Sun Dec 14 13:31:00 2014 recovered 34 nontrivial dependencies Sun Dec 14 13:31:00 2014 BLanczosTime: 109 Sun Dec 14 13:31:00 2014 Sun Dec 14 13:31:00 2014 commencing square root phase Sun Dec 14 13:31:00 2014 reading relations for dependency 1 Sun Dec 14 13:31:00 2014 read 129977 cycles Sun Dec 14 13:31:00 2014 cycles contain 421076 unique relations Sun Dec 14 13:31:04 2014 read 421076 relations Sun Dec 14 13:31:04 2014 multiplying 421076 relations Sun Dec 14 13:31:10 2014 multiply complete, coefficients have about 11.04 million bits Sun Dec 14 13:31:10 2014 initial square root is modulo 2217491 Sun Dec 14 13:31:19 2014 GCD is N, no factor found Sun Dec 14 13:31:19 2014 reading relations for dependency 2 Sun Dec 14 13:31:19 2014 read 129935 cycles Sun Dec 14 13:31:19 2014 cycles contain 421182 unique relations Sun Dec 14 13:31:22 2014 read 421182 relations Sun Dec 14 13:31:23 2014 multiplying 421182 relations Sun Dec 14 13:31:29 2014 multiply complete, coefficients have about 11.05 million bits Sun Dec 14 13:31:29 2014 initial square root is modulo 2228321 Sun Dec 14 13:31:37 2014 sqrtTime: 37 -- n: 11770786143357286693219946009462269781284646995813583158723736575848718881715677555326011325840784154618073763508539337 m: 100000000000000000000000000000 deg: 5 c5: 118 c0: -1 skew: 0.39 # Murphy_E = 2.349e-09 type: snfs lss: 1 rlim: 1980000 alim: 1980000 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	118		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:47:54 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 54 秒 (日本時間)

118×10¹⁴⁹-19

c132

name 名前	KTakahashi
date 日付	December 6, 2014 19:05:46 UTC 2014 年 12 月 7 日 (日) 4 時 5 分 46 秒 (日本時間)
composite number 合成数	190236275049614078188025302007187105594153736164170432966464987441844519151987759203485063001373763151708998333419269577784993114403<132>
prime factors 素因数	2815995320726810251296052360721<31> 5561271931375891625761812964875994725067<40> 12147510226101360307807656474186670075288894940191485542865529<62>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P-1] Input number is 190236275049614078188025302007187105594153736164170432966464987441844519151987759203485063001373763151708998333419269577784993114403 (132 digits) Using B1=4000000, B2=30297214018, polynomial x^1, x0=2270268000 Step 1 took 1092ms Step 2 took 4368ms ********** Factor found in step 2: 2815995320726810251296052360721 Found probable prime factor of 31 digits: 2815995320726810251296052360721 Composite cofactor 67555607656519106008575728618804816864870721365440658524221889892749039894999450487374750319706515443 has 101 digits Number: 13111_149 N=67555607656519106008575728618804816864870721365440658524221889892749039894999450487374750319706515443 ( 101 digits) Divisors found: r1=5561271931375891625761812964875994725067 (pp40) r2=12147510226101360307807656474186670075288894940191485542865529 (pp62) Version: Msieve v. 1.51 (SVN Official Release) Total time: 6.61 hours. Scaled time: 13.08 units (timescale=1.979). Factorization parameters were as follows: name: 13111_149 n: 67555607656519106008575728618804816864870721365440658524221889892749039894999450487374750319706515443 skew: 5774.42 # norm 1.69e+014 c5: 129120 c4: -1700493116 c3: -8768458785592 c2: -14013037668486237 c1: 67135166117151957688 c0: 272531628431648426223929 # alpha -6.17 Y1: 16773208199 Y0: -13923068364083448114 # Murphy_E 2.92e-009 # M 49539692995970572789391903751813482619775076767542615838251084051484065967802726407573870233976817893 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [900000, 1500001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 221848 x 222073 Polynomial selection time: 0.43 hours. Total sieving time: 5.92 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.16 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 6.61 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	December 6, 2014 19:02:54 UTC 2014 年 12 月 7 日 (日) 4 時 2 分 54 秒 (日本時間)

118×10¹⁵¹-19

c149

name 名前	Cyp
date 日付	December 16, 2014 07:48:22 UTC 2014 年 12 月 16 日 (火) 16 時 48 分 22 秒 (日本時間)
composite number 合成数	30092061306199474664014484992221967204753525616504730574044322036059470073700048453319052355086323413153801035370922908219213016091602274755820773723<149>
prime factors 素因数	20165912092977671919258927852292430748488701399849132681729<59> 1492224163601226959172937223893591715951876302011632198978915983135106629081558911487357787<91>
factorization results 素因数分解の結果	12/16/14 05:55:25 v1.34.3, 12/16/14 05:55:25 v1.34.3, ************************** 12/16/14 05:55:25 v1.34.3, Starting factorization of 30092061306199474664014484992221967204753525616504730574044322036059470073700048453319052355086323413153801035370922908219213016091602274755820773723 12/16/14 05:55:25 v1.34.3, using pretesting plan: none 12/16/14 05:55:25 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/16/14 05:55:25 v1.34.3, ************************** 12/16/14 05:55:25 v1.34.3, nfs: commencing nfs on c149: 30092061306199474664014484992221967204753525616504730574044322036059470073700048453319052355086323413153801035370922908219213016091602274755820773723 12/16/14 05:55:25 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/16/14 05:55:25 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/16/14 06:00:18 v1.34.3, nfs: commencing lattice sieving with 8 threads [20 lines snipped] 12/16/14 08:20:57 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/16/14 08:29:30 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/16/14 08:37:52 v1.34.3, nfs: commencing msieve filtering 12/16/14 08:40:59 v1.34.3, nfs: commencing msieve linear algebra 12/16/14 08:47:27 v1.34.3, nfs: commencing msieve sqrt 12/16/14 08:48:21 v1.34.3, prp91 = 1492224163601226959172937223893591715951876302011632198978915983135106629081558911487357787 12/16/14 08:48:21 v1.34.3, prp59 = 20165912092977671919258927852292430748488701399849132681729 12/16/14 08:48:21 v1.34.3, NFS elapsed time = 10375.4904 seconds. 12/16/14 08:48:21 v1.34.3, 12/16/14 08:48:21 v1.34.3, 12/16/14 08:48:21 v1.34.3, Total factoring time = 10375.4919 seconds -- Tue Dec 16 08:37:52 2014 Tue Dec 16 08:37:52 2014 commencing relation filtering Tue Dec 16 08:37:52 2014 estimated available RAM is 15987.3 MB Tue Dec 16 08:37:52 2014 commencing duplicate removal, pass 1 Tue Dec 16 08:38:45 2014 found 1210870 hash collisions in 10167806 relations Tue Dec 16 08:39:01 2014 added 360095 free relations Tue Dec 16 08:39:01 2014 commencing duplicate removal, pass 2 Tue Dec 16 08:39:14 2014 found 696359 duplicates and 9831542 unique relations Tue Dec 16 08:39:14 2014 memory use: 41.3 MB Tue Dec 16 08:39:14 2014 reading ideals above 100000 Tue Dec 16 08:39:14 2014 commencing singleton removal, initial pass Tue Dec 16 08:40:23 2014 memory use: 188.2 MB Tue Dec 16 08:40:23 2014 reading all ideals from disk Tue Dec 16 08:40:23 2014 memory use: 334.1 MB Tue Dec 16 08:40:24 2014 keeping 9708123 ideals with weight <= 200, target excess is 55411 Tue Dec 16 08:40:25 2014 commencing in-memory singleton removal Tue Dec 16 08:40:26 2014 begin with 9831542 relations and 9708123 unique ideals Tue Dec 16 08:40:32 2014 reduce to 4972834 relations and 3770457 ideals in 11 passes Tue Dec 16 08:40:32 2014 max relations containing the same ideal: 132 Tue Dec 16 08:40:35 2014 removing 1261451 relations and 861451 ideals in 400000 cliques Tue Dec 16 08:40:35 2014 commencing in-memory singleton removal Tue Dec 16 08:40:35 2014 begin with 3711383 relations and 3770457 unique ideals Tue Dec 16 08:40:38 2014 reduce to 3510240 relations and 2688706 ideals in 7 passes Tue Dec 16 08:40:38 2014 max relations containing the same ideal: 102 Tue Dec 16 08:40:39 2014 removing 1069768 relations and 669768 ideals in 400000 cliques Tue Dec 16 08:40:40 2014 commencing in-memory singleton removal Tue Dec 16 08:40:40 2014 begin with 2440472 relations and 2688706 unique ideals Tue Dec 16 08:40:42 2014 reduce to 2277826 relations and 1838783 ideals in 8 passes Tue Dec 16 08:40:42 2014 max relations containing the same ideal: 77 Tue Dec 16 08:40:43 2014 removing 957229 relations and 582463 ideals in 374766 cliques Tue Dec 16 08:40:43 2014 commencing in-memory singleton removal Tue Dec 16 08:40:43 2014 begin with 1320597 relations and 1838783 unique ideals Tue Dec 16 08:40:44 2014 reduce to 1135118 relations and 1044702 ideals in 9 passes Tue Dec 16 08:40:44 2014 max relations containing the same ideal: 49 Tue Dec 16 08:40:44 2014 removing 122804 relations and 96665 ideals in 26139 cliques Tue Dec 16 08:40:45 2014 commencing in-memory singleton removal Tue Dec 16 08:40:45 2014 begin with 1012314 relations and 1044702 unique ideals Tue Dec 16 08:40:45 2014 reduce to 998710 relations and 934061 ideals in 7 passes Tue Dec 16 08:40:45 2014 max relations containing the same ideal: 46 Tue Dec 16 08:40:46 2014 relations with 0 large ideals: 1225 Tue Dec 16 08:40:46 2014 relations with 1 large ideals: 1732 Tue Dec 16 08:40:46 2014 relations with 2 large ideals: 16353 Tue Dec 16 08:40:46 2014 relations with 3 large ideals: 77194 Tue Dec 16 08:40:46 2014 relations with 4 large ideals: 194578 Tue Dec 16 08:40:46 2014 relations with 5 large ideals: 280996 Tue Dec 16 08:40:46 2014 relations with 6 large ideals: 254774 Tue Dec 16 08:40:46 2014 relations with 7+ large ideals: 171858 Tue Dec 16 08:40:46 2014 commencing 2-way merge Tue Dec 16 08:40:46 2014 reduce to 637882 relation sets and 573233 unique ideals Tue Dec 16 08:40:46 2014 commencing full merge Tue Dec 16 08:40:55 2014 memory use: 70.4 MB Tue Dec 16 08:40:55 2014 found 318016 cycles, need 309433 Tue Dec 16 08:40:55 2014 weight of 309433 cycles is about 22000440 (71.10/cycle) Tue Dec 16 08:40:55 2014 distribution of cycle lengths: Tue Dec 16 08:40:55 2014 1 relations: 26045 Tue Dec 16 08:40:55 2014 2 relations: 29519 Tue Dec 16 08:40:55 2014 3 relations: 33222 Tue Dec 16 08:40:55 2014 4 relations: 33317 Tue Dec 16 08:40:55 2014 5 relations: 32470 Tue Dec 16 08:40:55 2014 6 relations: 29062 Tue Dec 16 08:40:55 2014 7 relations: 25474 Tue Dec 16 08:40:55 2014 8 relations: 21202 Tue Dec 16 08:40:55 2014 9 relations: 17966 Tue Dec 16 08:40:55 2014 10+ relations: 61156 Tue Dec 16 08:40:55 2014 heaviest cycle: 20 relations Tue Dec 16 08:40:55 2014 commencing cycle optimization Tue Dec 16 08:40:56 2014 start with 1920548 relations Tue Dec 16 08:40:59 2014 pruned 65431 relations Tue Dec 16 08:40:59 2014 memory use: 59.8 MB Tue Dec 16 08:40:59 2014 distribution of cycle lengths: Tue Dec 16 08:40:59 2014 1 relations: 26045 Tue Dec 16 08:40:59 2014 2 relations: 30234 Tue Dec 16 08:40:59 2014 3 relations: 34589 Tue Dec 16 08:40:59 2014 4 relations: 34703 Tue Dec 16 08:40:59 2014 5 relations: 33897 Tue Dec 16 08:40:59 2014 6 relations: 29904 Tue Dec 16 08:40:59 2014 7 relations: 26129 Tue Dec 16 08:40:59 2014 8 relations: 21377 Tue Dec 16 08:40:59 2014 9 relations: 17970 Tue Dec 16 08:40:59 2014 10+ relations: 54585 Tue Dec 16 08:40:59 2014 heaviest cycle: 20 relations Tue Dec 16 08:40:59 2014 RelProcTime: 187 Tue Dec 16 08:40:59 2014 Tue Dec 16 08:40:59 2014 commencing linear algebra Tue Dec 16 08:40:59 2014 read 309433 cycles Tue Dec 16 08:41:00 2014 cycles contain 957238 unique relations Tue Dec 16 08:41:14 2014 read 957238 relations Tue Dec 16 08:41:15 2014 using 20 quadratic characters above 134200950 Tue Dec 16 08:41:19 2014 building initial matrix Tue Dec 16 08:41:29 2014 memory use: 115.5 MB Tue Dec 16 08:41:29 2014 read 309433 cycles Tue Dec 16 08:41:29 2014 matrix is 309255 x 309433 (92.6 MB) with weight 27829913 (89.94/col) Tue Dec 16 08:41:29 2014 sparse part has weight 20859677 (67.41/col) Tue Dec 16 08:41:32 2014 filtering completed in 2 passes Tue Dec 16 08:41:32 2014 matrix is 309014 x 309192 (92.5 MB) with weight 27820543 (89.98/col) Tue Dec 16 08:41:32 2014 sparse part has weight 20855786 (67.45/col) Tue Dec 16 08:41:32 2014 matrix starts at (0, 0) Tue Dec 16 08:41:32 2014 matrix is 309014 x 309192 (92.5 MB) with weight 27820543 (89.98/col) Tue Dec 16 08:41:32 2014 sparse part has weight 20855786 (67.45/col) Tue Dec 16 08:41:32 2014 saving the first 48 matrix rows for later Tue Dec 16 08:41:32 2014 matrix includes 64 packed rows Tue Dec 16 08:41:32 2014 matrix is 308966 x 309192 (87.6 MB) with weight 22141296 (71.61/col) Tue Dec 16 08:41:32 2014 sparse part has weight 19864821 (64.25/col) Tue Dec 16 08:41:32 2014 using block size 65536 for processor cache size 8192 kB Tue Dec 16 08:41:33 2014 commencing Lanczos iteration (8 threads) Tue Dec 16 08:41:33 2014 memory use: 84.0 MB Tue Dec 16 08:41:49 2014 linear algebra at 3.9%, ETA 0h 6m Tue Dec 16 08:47:26 2014 lanczos halted after 4888 iterations (dim = 308964) Tue Dec 16 08:47:27 2014 recovered 36 nontrivial dependencies Tue Dec 16 08:47:27 2014 BLanczosTime: 388 Tue Dec 16 08:47:27 2014 Tue Dec 16 08:47:27 2014 commencing square root phase Tue Dec 16 08:47:27 2014 reading relations for dependency 1 Tue Dec 16 08:47:27 2014 read 154836 cycles Tue Dec 16 08:47:27 2014 cycles contain 478444 unique relations Tue Dec 16 08:47:38 2014 read 478444 relations Tue Dec 16 08:47:40 2014 multiplying 478444 relations Tue Dec 16 08:47:58 2014 multiply complete, coefficients have about 14.48 million bits Tue Dec 16 08:47:58 2014 initial square root is modulo 208794101 Tue Dec 16 08:48:21 2014 sqrtTime: 54 -- n: 30092061306199474664014484992221967204753525616504730574044322036059470073700048453319052355086323413153801035370922908219213016091602274755820773723 m: 1000000000000000000000000000000 deg: 5 c5: 1180 c0: -1 skew: 0.24 # Murphy_E = 1.183e-09 type: snfs lss: 1 rlim: 2500000 alim: 2500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:47:54 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 54 秒 (日本時間)

118×10¹⁵²-19

c141

name 名前	Cyp
date 日付	December 17, 2014 04:14:22 UTC 2014 年 12 月 17 日 (水) 13 時 14 分 22 秒 (日本時間)
composite number 合成数	123755605789931775252089168419268257307502717027987906145611689550256881252179010462070712454226321860592397315377428577538031466712950300489<141>
prime factors 素因数	228681162022149228353207989833846740547082320883789715329<57> 541170967890854323654993703262195832426065419917507023652695056790372712767662468041<84>
factorization results 素因数分解の結果	12/17/14 03:03:16 v1.34.3, 12/17/14 03:03:16 v1.34.3, ************************** 12/17/14 03:03:16 v1.34.3, Starting factorization of 123755605789931775252089168419268257307502717027987906145611689550256881252179010462070712454226321860592397315377428577538031466712950300489 12/17/14 03:03:16 v1.34.3, using pretesting plan: none 12/17/14 03:03:16 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/17/14 03:03:16 v1.34.3, ************************** 12/17/14 03:03:16 v1.34.3, nfs: commencing nfs on c141: 123755605789931775252089168419268257307502717027987906145611689550256881252179010462070712454226321860592397315377428577538031466712950300489 12/17/14 03:03:16 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/17/14 03:03:16 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/17/14 03:06:40 v1.34.3, nfs: commencing lattice sieving with 8 threads [33 lines snipped] 12/17/14 05:02:14 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/17/14 05:05:38 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/17/14 05:08:59 v1.34.3, nfs: commencing msieve filtering 12/17/14 05:10:41 v1.34.3, nfs: commencing msieve linear algebra 12/17/14 05:13:48 v1.34.3, nfs: commencing msieve sqrt 12/17/14 05:14:21 v1.34.3, prp57 = 228681162022149228353207989833846740547082320883789715329 12/17/14 05:14:21 v1.34.3, prp84 = 541170967890854323654993703262195832426065419917507023652695056790372712767662468041 12/17/14 05:14:21 v1.34.3, NFS elapsed time = 7864.5170 seconds. 12/17/14 05:14:21 v1.34.3, 12/17/14 05:14:21 v1.34.3, 12/17/14 05:14:21 v1.34.3, Total factoring time = 7864.5178 seconds -- Wed Dec 17 05:08:59 2014 Wed Dec 17 05:08:59 2014 commencing relation filtering Wed Dec 17 05:08:59 2014 estimated available RAM is 15987.3 MB Wed Dec 17 05:08:59 2014 commencing duplicate removal, pass 1 Wed Dec 17 05:09:26 2014 found 1256822 hash collisions in 10043457 relations Wed Dec 17 05:09:35 2014 added 359550 free relations Wed Dec 17 05:09:35 2014 commencing duplicate removal, pass 2 Wed Dec 17 05:09:42 2014 found 779763 duplicates and 9623244 unique relations Wed Dec 17 05:09:42 2014 memory use: 41.3 MB Wed Dec 17 05:09:42 2014 reading ideals above 100000 Wed Dec 17 05:09:42 2014 commencing singleton removal, initial pass Wed Dec 17 05:10:23 2014 memory use: 188.2 MB Wed Dec 17 05:10:23 2014 reading all ideals from disk Wed Dec 17 05:10:23 2014 memory use: 329.3 MB Wed Dec 17 05:10:24 2014 keeping 9689042 ideals with weight <= 200, target excess is 51112 Wed Dec 17 05:10:24 2014 commencing in-memory singleton removal Wed Dec 17 05:10:24 2014 begin with 9623244 relations and 9689042 unique ideals Wed Dec 17 05:10:27 2014 reduce to 4731780 relations and 3693971 ideals in 12 passes Wed Dec 17 05:10:27 2014 max relations containing the same ideal: 129 Wed Dec 17 05:10:28 2014 removing 1286006 relations and 886006 ideals in 400000 cliques Wed Dec 17 05:10:29 2014 commencing in-memory singleton removal Wed Dec 17 05:10:29 2014 begin with 3445774 relations and 3693971 unique ideals Wed Dec 17 05:10:30 2014 reduce to 3223588 relations and 2563241 ideals in 8 passes Wed Dec 17 05:10:30 2014 max relations containing the same ideal: 96 Wed Dec 17 05:10:30 2014 removing 1087070 relations and 687070 ideals in 400000 cliques Wed Dec 17 05:10:31 2014 commencing in-memory singleton removal Wed Dec 17 05:10:31 2014 begin with 2136518 relations and 2563241 unique ideals Wed Dec 17 05:10:31 2014 reduce to 1943396 relations and 1660466 ideals in 9 passes Wed Dec 17 05:10:31 2014 max relations containing the same ideal: 64 Wed Dec 17 05:10:32 2014 removing 636314 relations and 412674 ideals in 223641 cliques Wed Dec 17 05:10:32 2014 commencing in-memory singleton removal Wed Dec 17 05:10:32 2014 begin with 1307082 relations and 1660466 unique ideals Wed Dec 17 05:10:32 2014 reduce to 1176971 relations and 1103267 ideals in 9 passes Wed Dec 17 05:10:32 2014 max relations containing the same ideal: 48 Wed Dec 17 05:10:32 2014 removing 76322 relations and 61908 ideals in 14414 cliques Wed Dec 17 05:10:32 2014 commencing in-memory singleton removal Wed Dec 17 05:10:32 2014 begin with 1100649 relations and 1103267 unique ideals Wed Dec 17 05:10:32 2014 reduce to 1096352 relations and 1037006 ideals in 6 passes Wed Dec 17 05:10:32 2014 max relations containing the same ideal: 46 Wed Dec 17 05:10:33 2014 relations with 0 large ideals: 1126 Wed Dec 17 05:10:33 2014 relations with 1 large ideals: 776 Wed Dec 17 05:10:33 2014 relations with 2 large ideals: 10926 Wed Dec 17 05:10:33 2014 relations with 3 large ideals: 64260 Wed Dec 17 05:10:33 2014 relations with 4 large ideals: 188200 Wed Dec 17 05:10:33 2014 relations with 5 large ideals: 305784 Wed Dec 17 05:10:33 2014 relations with 6 large ideals: 298570 Wed Dec 17 05:10:33 2014 relations with 7+ large ideals: 226710 Wed Dec 17 05:10:33 2014 commencing 2-way merge Wed Dec 17 05:10:33 2014 reduce to 682228 relation sets and 622882 unique ideals Wed Dec 17 05:10:33 2014 commencing full merge Wed Dec 17 05:10:39 2014 memory use: 79.6 MB Wed Dec 17 05:10:39 2014 found 348946 cycles, need 341082 Wed Dec 17 05:10:39 2014 weight of 341082 cycles is about 24207055 (70.97/cycle) Wed Dec 17 05:10:39 2014 distribution of cycle lengths: Wed Dec 17 05:10:39 2014 1 relations: 29184 Wed Dec 17 05:10:39 2014 2 relations: 32026 Wed Dec 17 05:10:39 2014 3 relations: 35574 Wed Dec 17 05:10:39 2014 4 relations: 36076 Wed Dec 17 05:10:39 2014 5 relations: 35813 Wed Dec 17 05:10:39 2014 6 relations: 33139 Wed Dec 17 05:10:39 2014 7 relations: 28999 Wed Dec 17 05:10:39 2014 8 relations: 25022 Wed Dec 17 05:10:39 2014 9 relations: 20986 Wed Dec 17 05:10:39 2014 10+ relations: 64263 Wed Dec 17 05:10:39 2014 heaviest cycle: 19 relations Wed Dec 17 05:10:39 2014 commencing cycle optimization Wed Dec 17 05:10:39 2014 start with 2093201 relations Wed Dec 17 05:10:41 2014 pruned 65987 relations Wed Dec 17 05:10:41 2014 memory use: 66.0 MB Wed Dec 17 05:10:41 2014 distribution of cycle lengths: Wed Dec 17 05:10:41 2014 1 relations: 29184 Wed Dec 17 05:10:41 2014 2 relations: 32696 Wed Dec 17 05:10:41 2014 3 relations: 36935 Wed Dec 17 05:10:41 2014 4 relations: 37319 Wed Dec 17 05:10:41 2014 5 relations: 37412 Wed Dec 17 05:10:41 2014 6 relations: 34194 Wed Dec 17 05:10:41 2014 7 relations: 29950 Wed Dec 17 05:10:41 2014 8 relations: 25270 Wed Dec 17 05:10:41 2014 9 relations: 20980 Wed Dec 17 05:10:41 2014 10+ relations: 57142 Wed Dec 17 05:10:41 2014 heaviest cycle: 19 relations Wed Dec 17 05:10:41 2014 RelProcTime: 102 Wed Dec 17 05:10:41 2014 Wed Dec 17 05:10:41 2014 commencing linear algebra Wed Dec 17 05:10:41 2014 read 341082 cycles Wed Dec 17 05:10:41 2014 cycles contain 1061741 unique relations Wed Dec 17 05:10:50 2014 read 1061741 relations Wed Dec 17 05:10:50 2014 using 20 quadratic characters above 134161220 Wed Dec 17 05:10:54 2014 building initial matrix Wed Dec 17 05:10:59 2014 memory use: 132.6 MB Wed Dec 17 05:10:59 2014 read 341082 cycles Wed Dec 17 05:10:59 2014 matrix is 340905 x 341082 (102.2 MB) with weight 30254681 (88.70/col) Wed Dec 17 05:10:59 2014 sparse part has weight 23038613 (67.55/col) Wed Dec 17 05:11:00 2014 filtering completed in 2 passes Wed Dec 17 05:11:00 2014 matrix is 340803 x 340980 (102.2 MB) with weight 30250837 (88.72/col) Wed Dec 17 05:11:00 2014 sparse part has weight 23036857 (67.56/col) Wed Dec 17 05:11:01 2014 matrix starts at (0, 0) Wed Dec 17 05:11:01 2014 matrix is 340803 x 340980 (102.2 MB) with weight 30250837 (88.72/col) Wed Dec 17 05:11:01 2014 sparse part has weight 23036857 (67.56/col) Wed Dec 17 05:11:01 2014 saving the first 48 matrix rows for later Wed Dec 17 05:11:01 2014 matrix includes 64 packed rows Wed Dec 17 05:11:01 2014 matrix is 340755 x 340980 (96.0 MB) with weight 23902107 (70.10/col) Wed Dec 17 05:11:01 2014 sparse part has weight 21766305 (63.83/col) Wed Dec 17 05:11:01 2014 using block size 65536 for processor cache size 8192 kB Wed Dec 17 05:11:02 2014 commencing Lanczos iteration (8 threads) Wed Dec 17 05:11:02 2014 memory use: 92.5 MB Wed Dec 17 05:11:08 2014 linear algebra at 3.6%, ETA 0h 2m Wed Dec 17 05:13:48 2014 lanczos halted after 5391 iterations (dim = 340755) Wed Dec 17 05:13:48 2014 recovered 39 nontrivial dependencies Wed Dec 17 05:13:48 2014 BLanczosTime: 187 Wed Dec 17 05:13:48 2014 Wed Dec 17 05:13:48 2014 commencing square root phase Wed Dec 17 05:13:48 2014 reading relations for dependency 1 Wed Dec 17 05:13:48 2014 read 170963 cycles Wed Dec 17 05:13:49 2014 cycles contain 531522 unique relations Wed Dec 17 05:13:56 2014 read 531522 relations Wed Dec 17 05:13:57 2014 multiplying 531522 relations Wed Dec 17 05:14:07 2014 multiply complete, coefficients have about 17.71 million bits Wed Dec 17 05:14:07 2014 initial square root is modulo 122501 Wed Dec 17 05:14:21 2014 sqrtTime: 33 -- n: 123755605789931775252089168419268257307502717027987906145611689550256881252179010462070712454226321860592397315377428577538031466712950300489 m: 1000000000000000000000000000000 deg: 5 c5: 11800 c0: -1 skew: 0.15 # Murphy_E = 8.665e-10 type: snfs lss: 1 rlim: 2600000 alim: 2600000 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:47:55 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 55 秒 (日本時間)

118×10¹⁵⁴-19

c156

name 名前	Serge Batalov
date 日付	December 8, 2014 19:29:45 UTC 2014 年 12 月 9 日 (火) 4 時 29 分 45 秒 (日本時間)
composite number 合成数	131111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<156>
prime factors 素因数	781281549552022268672056779208919<33> 167815445259508167779277808244328497039552616363098055144407587919234862734546231267575263986615404537867271084460390580369<123>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3486945423 Step 1 took 11276ms Step 2 took 8489ms ********** Factor found in step 2: 781281549552022268672056779208919 Found probable prime factor of 33 digits: 781281549552022268672056779208919 Probable prime 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 8, 2014 19:27:24 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 24 秒 (日本時間)

118×10¹⁵⁵-19

c153

name 名前	Dmitry Domanov
date 日付	December 9, 2014 11:13:17 UTC 2014 年 12 月 9 日 (火) 20 時 13 分 17 秒 (日本時間)
composite number 合成数	607840107144696852624529954154432596713542471539689898521609230927728841497965280997269870705197548034822026477102972235100190593931901303250399217019523<153>
prime factors 素因数	56859694027494736171495839488901702522751019692919631188430082211<65> 10690175484426161316542433701407977787624273023454475647339688348993640458708219537144993<89>
factorization results 素因数分解の結果	N=607840107144696852624529954154432596713542471539689898521609230927728841497965280997269870705197548034822026477102972235100190593931901303250399217019523 ( 153 digits) SNFS difficulty: 157 digits. Divisors found: r1=56859694027494736171495839488901702522751019692919631188430082211 (pp65) r2=10690175484426161316542433701407977787624273023454475647339688348993640458708219537144993 (pp89) Version: Msieve v. 1.50 (SVN unknown) Total time: 14.20 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 607840107144696852624529954154432596713542471539689898521609230927728841497965280997269870705197548034822026477102972235100190593931901303250399217019523 m: 10000000000000000000000000000000 deg: 5 c5: 118 c0: -1 skew: 0.39 # Murphy_E = 9.771e-10 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2900000/2900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1450000, 2250001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 439951 x 440175 Total sieving time: 13.80 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.18 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000 total time: 14.20 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 8, 2014 19:27:25 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 25 秒 (日本時間)

118×10¹⁵⁷-19

c150

name 名前	Cyp
date 日付	December 15, 2014 17:17:13 UTC 2014 年 12 月 16 日 (火) 2 時 17 分 13 秒 (日本時間)
composite number 合成数	120566670680198305922430764216167180309752592962734996251325238063854415702648800373596550221928301931533984753440651159401305757621540679002240613971<150>
prime factors 素因数	4927520182348908241230591182593907611595418004887343804083299533<64> 24468021686057340131977268355967323048672434757439349680561562392519535767570480656287<86>
factorization results 素因数分解の結果	12/15/14 15:06:58 v1.34.3, 12/15/14 15:06:58 v1.34.3, ************************** 12/15/14 15:06:58 v1.34.3, Starting factorization of 120566670680198305922430764216167180309752592962734996251325238063854415702648800373596550221928301931533984753440651159401305757621540679002240613971 12/15/14 15:06:58 v1.34.3, using pretesting plan: none 12/15/14 15:06:58 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/15/14 15:06:58 v1.34.3, ************************** 12/15/14 15:06:58 v1.34.3, nfs: commencing nfs on c150: 120566670680198305922430764216167180309752592962734996251325238063854415702648800373596550221928301931533984753440651159401305757621540679002240613971 12/15/14 15:06:58 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/15/14 15:06:58 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/15/14 15:11:14 v1.34.3, nfs: commencing lattice sieving with 8 threads [38 lines snipped] 12/15/14 18:00:40 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/15/14 18:05:08 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/15/14 18:09:37 v1.34.3, nfs: commencing msieve filtering 12/15/14 18:11:24 v1.34.3, nfs: commencing msieve linear algebra 12/15/14 18:16:30 v1.34.3, nfs: commencing msieve sqrt 12/15/14 18:17:12 v1.34.3, prp64 = 4927520182348908241230591182593907611595418004887343804083299533 12/15/14 18:17:12 v1.34.3, prp86 = 24468021686057340131977268355967323048672434757439349680561562392519535767570480656287 12/15/14 18:17:12 v1.34.3, NFS elapsed time = 11413.8314 seconds. 12/15/14 18:17:12 v1.34.3, 12/15/14 18:17:12 v1.34.3, 12/15/14 18:17:12 v1.34.3, Total factoring time = 11413.8322 seconds -- Mon Dec 15 18:09:37 2014 Mon Dec 15 18:09:37 2014 commencing relation filtering Mon Dec 15 18:09:37 2014 estimated available RAM is 15987.3 MB Mon Dec 15 18:09:37 2014 commencing duplicate removal, pass 1 Mon Dec 15 18:10:05 2014 found 1359977 hash collisions in 10084368 relations Mon Dec 15 18:10:14 2014 added 359358 free relations Mon Dec 15 18:10:14 2014 commencing duplicate removal, pass 2 Mon Dec 15 18:10:22 2014 found 914411 duplicates and 9529315 unique relations Mon Dec 15 18:10:22 2014 memory use: 41.3 MB Mon Dec 15 18:10:22 2014 reading ideals above 100000 Mon Dec 15 18:10:22 2014 commencing singleton removal, initial pass Mon Dec 15 18:11:03 2014 memory use: 188.2 MB Mon Dec 15 18:11:03 2014 reading all ideals from disk Mon Dec 15 18:11:04 2014 memory use: 332.3 MB Mon Dec 15 18:11:04 2014 keeping 9760771 ideals with weight <= 200, target excess is 50740 Mon Dec 15 18:11:04 2014 commencing in-memory singleton removal Mon Dec 15 18:11:05 2014 begin with 9529315 relations and 9760771 unique ideals Mon Dec 15 18:11:07 2014 reduce to 4608253 relations and 3728082 ideals in 11 passes Mon Dec 15 18:11:07 2014 max relations containing the same ideal: 126 Mon Dec 15 18:11:08 2014 removing 1313659 relations and 913659 ideals in 400000 cliques Mon Dec 15 18:11:09 2014 commencing in-memory singleton removal Mon Dec 15 18:11:09 2014 begin with 3294594 relations and 3728082 unique ideals Mon Dec 15 18:11:10 2014 reduce to 3048456 relations and 2542476 ideals in 8 passes Mon Dec 15 18:11:10 2014 max relations containing the same ideal: 94 Mon Dec 15 18:11:11 2014 removing 1114773 relations and 714773 ideals in 400000 cliques Mon Dec 15 18:11:11 2014 commencing in-memory singleton removal Mon Dec 15 18:11:11 2014 begin with 1933683 relations and 2542476 unique ideals Mon Dec 15 18:11:11 2014 reduce to 1705365 relations and 1569748 ideals in 10 passes Mon Dec 15 18:11:11 2014 max relations containing the same ideal: 62 Mon Dec 15 18:11:12 2014 removing 295574 relations and 218816 ideals in 76758 cliques Mon Dec 15 18:11:12 2014 commencing in-memory singleton removal Mon Dec 15 18:11:12 2014 begin with 1409791 relations and 1569748 unique ideals Mon Dec 15 18:11:12 2014 reduce to 1366938 relations and 1306134 ideals in 7 passes Mon Dec 15 18:11:12 2014 max relations containing the same ideal: 53 Mon Dec 15 18:11:13 2014 relations with 0 large ideals: 1124 Mon Dec 15 18:11:13 2014 relations with 1 large ideals: 552 Mon Dec 15 18:11:13 2014 relations with 2 large ideals: 8546 Mon Dec 15 18:11:13 2014 relations with 3 large ideals: 55831 Mon Dec 15 18:11:13 2014 relations with 4 large ideals: 186245 Mon Dec 15 18:11:13 2014 relations with 5 large ideals: 348812 Mon Dec 15 18:11:13 2014 relations with 6 large ideals: 396045 Mon Dec 15 18:11:13 2014 relations with 7+ large ideals: 369783 Mon Dec 15 18:11:13 2014 commencing 2-way merge Mon Dec 15 18:11:13 2014 reduce to 847149 relation sets and 786345 unique ideals Mon Dec 15 18:11:13 2014 commencing full merge Mon Dec 15 18:11:21 2014 memory use: 102.4 MB Mon Dec 15 18:11:21 2014 found 436078 cycles, need 426545 Mon Dec 15 18:11:21 2014 weight of 426545 cycles is about 30236851 (70.89/cycle) Mon Dec 15 18:11:21 2014 distribution of cycle lengths: Mon Dec 15 18:11:21 2014 1 relations: 38015 Mon Dec 15 18:11:21 2014 2 relations: 41764 Mon Dec 15 18:11:21 2014 3 relations: 45241 Mon Dec 15 18:11:21 2014 4 relations: 44886 Mon Dec 15 18:11:21 2014 5 relations: 43637 Mon Dec 15 18:11:21 2014 6 relations: 40765 Mon Dec 15 18:11:21 2014 7 relations: 36998 Mon Dec 15 18:11:21 2014 8 relations: 31177 Mon Dec 15 18:11:21 2014 9 relations: 26169 Mon Dec 15 18:11:21 2014 10+ relations: 77893 Mon Dec 15 18:11:21 2014 heaviest cycle: 20 relations Mon Dec 15 18:11:21 2014 commencing cycle optimization Mon Dec 15 18:11:21 2014 start with 2585364 relations Mon Dec 15 18:11:24 2014 pruned 79291 relations Mon Dec 15 18:11:24 2014 memory use: 81.9 MB Mon Dec 15 18:11:24 2014 distribution of cycle lengths: Mon Dec 15 18:11:24 2014 1 relations: 38015 Mon Dec 15 18:11:24 2014 2 relations: 42667 Mon Dec 15 18:11:24 2014 3 relations: 46874 Mon Dec 15 18:11:24 2014 4 relations: 46344 Mon Dec 15 18:11:24 2014 5 relations: 45363 Mon Dec 15 18:11:24 2014 6 relations: 42217 Mon Dec 15 18:11:24 2014 7 relations: 37930 Mon Dec 15 18:11:24 2014 8 relations: 31694 Mon Dec 15 18:11:24 2014 9 relations: 26188 Mon Dec 15 18:11:24 2014 10+ relations: 69253 Mon Dec 15 18:11:24 2014 heaviest cycle: 19 relations Mon Dec 15 18:11:24 2014 RelProcTime: 107 Mon Dec 15 18:11:24 2014 Mon Dec 15 18:11:24 2014 commencing linear algebra Mon Dec 15 18:11:24 2014 read 426545 cycles Mon Dec 15 18:11:24 2014 cycles contain 1319776 unique relations Mon Dec 15 18:11:34 2014 read 1319776 relations Mon Dec 15 18:11:35 2014 using 20 quadratic characters above 134213312 Mon Dec 15 18:11:39 2014 building initial matrix Mon Dec 15 18:11:45 2014 memory use: 163.6 MB Mon Dec 15 18:11:46 2014 read 426545 cycles Mon Dec 15 18:11:46 2014 matrix is 426367 x 426545 (127.8 MB) with weight 37809597 (88.64/col) Mon Dec 15 18:11:46 2014 sparse part has weight 28821960 (67.57/col) Mon Dec 15 18:11:47 2014 filtering completed in 2 passes Mon Dec 15 18:11:47 2014 matrix is 426227 x 426405 (127.8 MB) with weight 37804621 (88.66/col) Mon Dec 15 18:11:47 2014 sparse part has weight 28820016 (67.59/col) Mon Dec 15 18:11:48 2014 matrix starts at (0, 0) Mon Dec 15 18:11:48 2014 matrix is 426227 x 426405 (127.8 MB) with weight 37804621 (88.66/col) Mon Dec 15 18:11:48 2014 sparse part has weight 28820016 (67.59/col) Mon Dec 15 18:11:48 2014 saving the first 48 matrix rows for later Mon Dec 15 18:11:48 2014 matrix includes 64 packed rows Mon Dec 15 18:11:48 2014 matrix is 426179 x 426405 (120.2 MB) with weight 29885600 (70.09/col) Mon Dec 15 18:11:48 2014 sparse part has weight 27257234 (63.92/col) Mon Dec 15 18:11:48 2014 using block size 65536 for processor cache size 8192 kB Mon Dec 15 18:11:49 2014 commencing Lanczos iteration (8 threads) Mon Dec 15 18:11:49 2014 memory use: 116.2 MB Mon Dec 15 18:11:57 2014 linear algebra at 2.8%, ETA 0h 4m Mon Dec 15 18:16:29 2014 lanczos halted after 6741 iterations (dim = 426178) Mon Dec 15 18:16:30 2014 recovered 37 nontrivial dependencies Mon Dec 15 18:16:30 2014 BLanczosTime: 306 Mon Dec 15 18:16:30 2014 Mon Dec 15 18:16:30 2014 commencing square root phase Mon Dec 15 18:16:30 2014 reading relations for dependency 1 Mon Dec 15 18:16:30 2014 read 214064 cycles Mon Dec 15 18:16:30 2014 cycles contain 662558 unique relations Mon Dec 15 18:16:38 2014 read 662558 relations Mon Dec 15 18:16:39 2014 multiplying 662558 relations Mon Dec 15 18:16:53 2014 multiply complete, coefficients have about 22.21 million bits Mon Dec 15 18:16:53 2014 initial square root is modulo 2392141 Mon Dec 15 18:17:12 2014 sqrtTime: 42 -- n: 120566670680198305922430764216167180309752592962734996251325238063854415702648800373596550221928301931533984753440651159401305757621540679002240613971 m: 10000000000000000000000000000000 deg: 5 c5: 11800 c0: -1 skew: 0.15 # Murphy_E = 5.568e-10 type: snfs lss: 1 rlim: 3100000 alim: 3100000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:47:55 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 55 秒 (日本時間)

118×10¹⁶¹-19

c150

name 名前	Jo Yeong Uk
date 日付	December 31, 2014 12:56:54 UTC 2014 年 12 月 31 日 (水) 21 時 56 分 54 秒 (日本時間)
composite number 合成数	407556818873979284450314027200388016878663837394557513222862657391851212836439938499517915067836796599728366681451448914224407678132374287547564287361<150>
prime factors 素因数	53867712672542504583884282338276164750744755083<47> 7565883135812437901614323650781258827684733756111946427978873726912655008261969931956470882976524309667<103>
factorization results 素因数分解の結果	Number: 13111_161 N=407556818873979284450314027200388016878663837394557513222862657391851212836439938499517915067836796599728366681451448914224407678132374287547564287361 ( 150 digits) SNFS difficulty: 163 digits. Divisors found: r1=53867712672542504583884282338276164750744755083 r2=7565883135812437901614323650781258827684733756111946427978873726912655008261969931956470882976524309667 Version: Total time: 10.23 hours. Scaled time: 53.74 units (timescale=5.251). Factorization parameters were as follows: n: 407556818873979284450314027200388016878663837394557513222862657391851212836439938499517915067836796599728366681451448914224407678132374287547564287361 m: 100000000000000000000000000000000 deg: 5 c5: 1180 c0: -1 skew: 0.24 # Murphy_E = 4.866e-10 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1700000, 3200001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9546102 Max relations in full relation-set: Initial matrix: Pruned matrix : 616988 x 617236 Total sieving time: 9.50 hours. Total relation processing time: 0.35 hours. Matrix solve time: 0.35 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000 total time: 10.23 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.. 6799.88 BogoMIPS (lpj=3399941) Total of 12 processors activated (81598.58 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:47:56 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 56 秒 (日本時間)

118×10¹⁶²-19

c142

name 名前	Serge Batalov
date 日付	December 17, 2014 22:21:45 UTC 2014 年 12 月 18 日 (木) 7 時 21 分 45 秒 (日本時間)
composite number 合成数	2818436242511517798270835230564328006984383721827484984467564376989518785084723973563242634575136127638808815454746049014051944668993591839081<142>
prime factors 素因数	1038151633604931724038917568563987<34> 2714859902232810837459823920449498038570126766772678245780644674070065972322165995323932027733530210688191763<109>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3959659727 Step 1 took 9206ms Step 2 took 7519ms ********** Factor found in step 2: 1038151633604931724038917568563987 Found probable prime factor of 34 digits: 1038151633604931724038917568563987 Probable prime 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:47:56 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 56 秒 (日本時間)

118×10¹⁶³-19

c103

name 名前	Dmitry Domanov
date 日付	December 8, 2014 07:31:38 UTC 2014 年 12 月 8 日 (月) 16 時 31 分 38 秒 (日本時間)
composite number 合成数	8760918474630447510823966677965712543873855556285726285322271699663429012403355715719682625754902088363<103>
prime factors 素因数	864703250068496359516766500607560171785698718485089<51> 10131705268757186450053538105853168290214452458006667<53>
factorization results 素因数分解の結果	N=8760918474630447510823966677965712543873855556285726285322271699663429012403355715719682625754902088363 ( 103 digits) Divisors found: r1=864703250068496359516766500607560171785698718485089 (pp51) r2=10131705268757186450053538105853168290214452458006667 (pp53) Version: Msieve v. 1.50 (SVN unknown) Total time: 5.76 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 8760918474630447510823966677965712543873855556285726285322271699663429012403355715719682625754902088363 skew: 3693836.50 c0: 202022902475881909228287779682 c1: -34656399568268674006300 c2: -48149626342806575 c3: 4723273560 c4: 2508 Y0: -7687860946724244578925937 Y1: 271734547385 rlim: 2220000 alim: 2220000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 2220000/2220000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [1110000, 1710001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 257913 x 258140 Total sieving time: 5.54 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.14 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000 total time: 5.76 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

118×10¹⁶⁴-19

c144

name 名前	Jo Yeong Uk
date 日付	February 9, 2015 14:39:35 UTC 2015 年 2 月 9 日 (月) 23 時 39 分 35 秒 (日本時間)
composite number 合成数	122619318835943001419537621247551156533672615345564969279827882169214015153028005330797478288918176507266918522117600822908843076708730375253341<144>
prime factors 素因数	3419036644414313649153847574661726345171012053<46> 35863704191725000787587316849604230576415844538935552604685428264505534163516401828650802500571497<98>
factorization results 素因数分解の結果	Number: 13111_164 N=122619318835943001419537621247551156533672615345564969279827882169214015153028005330797478288918176507266918522117600822908843076708730375253341 ( 144 digits) SNFS difficulty: 166 digits. Divisors found: r1=3419036644414313649153847574661726345171012053 r2=35863704191725000787587316849604230576415844538935552604685428264505534163516401828650802500571497 Version: Total time: 12.21 hours. Scaled time: 64.20 units (timescale=5.256). Factorization parameters were as follows: n: 122619318835943001419537621247551156533672615345564969279827882169214015153028005330797478288918176507266918522117600822908843076708730375253341 m: 1000000000000000000000000000000000 deg: 5 c5: 59 c0: -5 skew: 0.61 # Murphy_E = 3.626e-10 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [2100000, 3800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9469549 Max relations in full relation-set: Initial matrix: Pruned matrix : 769785 x 770033 Total sieving time: 11.22 hours. Total relation processing time: 0.39 hours. Matrix solve time: 0.56 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000 total time: 12.21 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400121) Total of 12 processors activated (81602.90 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:47:57 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 57 秒 (日本時間)

118×10¹⁶⁷-19

c135

name 名前	Jo Yeong Uk
date 日付	March 21, 2015 06:23:42 UTC 2015 年 3 月 21 日 (土) 15 時 23 分 42 秒 (日本時間)
composite number 合成数	198050575698659375909072429052308635841040647762410418513437565860174465661436656981694071208656945610384728771414053417084073797736453<135>
prime factors 素因数	1316028057312679549442829202200102164976991759<46> 150491149940281152342189058313155714243780035149943967327065038607323410450998490501815467<90>
factorization results 素因数分解の結果	Number: 13111_167 N=198050575698659375909072429052308635841040647762410418513437565860174465661436656981694071208656945610384728771414053417084073797736453 ( 135 digits) SNFS difficulty: 169 digits. Divisors found: r1=1316028057312679549442829202200102164976991759 r2=150491149940281152342189058313155714243780035149943967327065038607323410450998490501815467 Version: Total time: 20.79 hours. Scaled time: 107.98 units (timescale=5.194). Factorization parameters were as follows: n: 198050575698659375909072429052308635841040647762410418513437565860174465661436656981694071208656945610384728771414053417084073797736453 m: 2000000000000000000000000000000000 deg: 5 c5: 1475 c0: -4 skew: 0.31 # Murphy_E = 2.266e-10 type: snfs lss: 1 rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2500000, 5300001) Primes: rational ideals reading, algebraic ideals reading, Relations: 11085386 Max relations in full relation-set: Initial matrix: Pruned matrix : 927349 x 927597 Total sieving time: 19.12 hours. Total relation processing time: 0.76 hours. Matrix solve time: 0.84 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,169,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000 total time: 20.79 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=3399946) Total of 12 processors activated (81598.70 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:47:57 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 57 秒 (日本時間)
45	11e6	620 / 4409	Pierre Jammes	February 10, 2015 06:40:14 UTC 2015 年 2 月 10 日 (火) 15 時 40 分 14 秒 (日本時間)

118×10¹⁶⁸-19

c134

name 名前	Pierre Jammes
date 日付	February 11, 2015 06:26:41 UTC 2015 年 2 月 11 日 (水) 15 時 26 分 41 秒 (日本時間)
composite number 合成数	19882592563034993461087264931817055051120965899908771790310225295935335013992647424487760300226415623401687303208756411690264011759823<134>
prime factors 素因数	7457832071745413370147349803583253603<37> 2666001643877416851922868263086219100439795842744705606827798726808359291499576114438467804280741<97>
factorization results 素因数分解の結果	Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=4159960526 Step 1 took 50900ms Step 2 took 46980ms ********** Factor found in step 2: 7457832071745413370147349803583253603 Found probable prime factor of 37 digits: 7457832071745413370147349803583253603 Probable prime cofactor 2666001643877416851922868263086219100439795842744705606827798726808359291499576114438467804280741 has 97 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	118		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:47:57 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 57 秒 (日本時間)

118×10¹⁶⁹-19

c144

name 名前	Jo Yeong Uk
date 日付	April 2, 2015 15:28:21 UTC 2015 年 4 月 3 日 (金) 0 時 28 分 21 秒 (日本時間)
composite number 合成数	201102880122214312428254641922534693636780372934728642875224776763164152583652805381870572326643643514059771971071733803034662289399545001522817<144>
prime factors 素因数	119449714129075672049483257737879669776907313<45> 1683577743056843014254855263007529291596168157898091952065966131841027255974538558716768934954589009<100>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 201102880122214312428254641922534693636780372934728642875224776763164152583652805381870572326643643514059771971071733803034662289399545001522817 (144 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1976229465 Step 1 took 25445ms Step 2 took 8583ms ********** Factor found in step 2: 119449714129075672049483257737879669776907313 Found probable prime factor of 45 digits: 119449714129075672049483257737879669776907313 Probable prime cofactor 1683577743056843014254855263007529291596168157898091952065966131841027255974538558716768934954589009 has 100 digits
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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2650	300	Serge Batalov	December 10, 2014 19:47:58 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 58 秒 (日本時間)
40	3e6	2650	2350	Ignacio Santos	February 15, 2015 17:25:49 UTC 2015 年 2 月 16 日 (月) 2 時 25 分 49 秒 (日本時間)

118×10¹⁷⁰-19

c160

name 名前	Ben Meekins
date 日付	January 2, 2015 18:57:56 UTC 2015 年 1 月 3 日 (土) 3 時 57 分 56 秒 (日本時間)
composite number 合成数	1841853972628921016077570938810241052581877832846319801818692838207304958162995405161310772823870294991911127538189247711813688560746157095349863438792640057593<160>
prime factors 素因数	236140608656362963283891350415848926739<39> 7799818858387155491312189094915505443771055979977804388848891087570441271025581658092613939471649679996702398772130526787<121>
factorization results 素因数分解の結果	Number: 13111_170 N = 1841853972628921016077570938810241052581877832846319801818692838207304958162995405161310772823870294991911127538189247711813688560746157095349863438792640057593 (160 digits) SNFS difficulty: 173 digits. Divisors found: r1=236140608656362963283891350415848926739 (pp39) r2=7799818858387155491312189094915505443771055979977804388848891087570441271025581658092613939471649679996702398772130526787 (pp121) Version: Msieve v. 1.53 (SVN unknown) Total time: 7.97 hours. Factorization parameters were as follows: n: 1841853972628921016077570938810241052581877832846319801818692838207304958162995405161310772823870294991911127538189247711813688560746157095349863438792640057593 m: 10000000000000000000000000000000000 deg: 5 c5: 118 c0: -1 skew: 0.39 # Murphy_E = 2.525e-10 type: snfs lss: 1 rlim: 5200000 alim: 5200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5200000/5200000 Large primes per side: 3 Large prime bits: 27/27 Sieved rational special-q in [0, 0) Total raw relations: 12529904 Relations: 1036030 relations Pruned matrix : 668754 x 668980 Polynomial selection time: 0.00 hours. Total sieving time: 7.54 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.34 hours. time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,173,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,200000 total time: 7.97 hours. x86_64 Linux-3.13.0-43-generic-x86_64-with-Ubuntu-14.04-trusty processors: 4, speed: 2.10GHz

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:47:58 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 58 秒 (日本時間)

118×10¹⁷¹-19

c151

name 名前	Jo Yeong Uk
date 日付	April 27, 2015 22:20:12 UTC 2015 年 4 月 28 日 (火) 7 時 20 分 12 秒 (日本時間)
composite number 合成数	1773067510694279993190000716576457954378063873853514188946296040688677127035651141028455012547563055529680476388922748693484764760347134884748905890227<151>
prime factors 素因数	81025400578634036487752795026009908306812441362262774587421646092083380733<74> 21882860165233522893856423704788030617399133138895453308145091475419381451119<77>
factorization results 素因数分解の結果	Number: 13111_171 N=1773067510694279993190000716576457954378063873853514188946296040688677127035651141028455012547563055529680476388922748693484764760347134884748905890227 ( 151 digits) SNFS difficulty: 173 digits. Divisors found: r1=81025400578634036487752795026009908306812441362262774587421646092083380733 r2=21882860165233522893856423704788030617399133138895453308145091475419381451119 Version: Total time: 24.21 hours. Scaled time: 126.88 units (timescale=5.242). Factorization parameters were as follows: n: 1773067510694279993190000716576457954378063873853514188946296040688677127035651141028455012547563055529680476388922748693484764760347134884748905890227 m: 10000000000000000000000000000000000 deg: 5 c5: 1180 c0: -1 skew: 0.24 # Murphy_E = 1.963e-10 type: snfs lss: 1 rlim: 6200000 alim: 6200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [3100000, 6100001) Primes: rational ideals reading, algebraic ideals reading, Relations: 11152405 Max relations in full relation-set: Initial matrix: Pruned matrix : 1036459 x 1036707 Total sieving time: 21.75 hours. Total relation processing time: 0.82 hours. Matrix solve time: 1.10 hours. Time per square root: 0.53 hours. Prototype def-par.txt line would be: snfs,173,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.4,2.4,100000 total time: 24.21 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.. 6800.00 BogoMIPS (lpj=3400000) Total of 12 processors activated (81600.00 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:47:59 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 59 秒 (日本時間)
45	11e6	585 / 4409	Cyp	February 10, 2015 03:27:35 UTC 2015 年 2 月 10 日 (火) 12 時 27 分 35 秒 (日本時間)

118×10¹⁷²-19

c170

name 名前	Serge Batalov
date 日付	December 8, 2014 19:33:17 UTC 2014 年 12 月 9 日 (火) 4 時 33 分 17 秒 (日本時間)
composite number 合成数	60896939670743665170046962894152861640088765030706507715332610827269443154255044640553233214635908551375341900190948031170975899262011663312174227176549517469164473344687<170>
prime factors 素因数	128858988024632893806787081597<30>
composite cofactor 合成数の残り	472585891013690927808007159884989047949302757633860816124113241711821499349495477892112776398300896507867735543029154321279496133773507362971<141>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1351404309 Step 1 took 10913ms Step 2 took 8725ms ********** Factor found in step 2: 128858988024632893806787081597 Found probable prime factor of 30 digits: 128858988024632893806787081597 Composite cofactor

c141

name 名前	Ben Meekins
date 日付	January 9, 2015 03:11:21 UTC 2015 年 1 月 9 日 (金) 12 時 11 分 21 秒 (日本時間)
composite number 合成数	472585891013690927808007159884989047949302757633860816124113241711821499349495477892112776398300896507867735543029154321279496133773507362971<141>
prime factors 素因数	195921956803879891722176628152563545351151624068600719579<57> 2412112959277733136158379329413227056973402455984571483360300970815726666607005168449<85>
factorization results 素因数分解の結果	Number: 13111_172 N = 472585891013690927808007159884989047949302757633860816124113241711821499349495477892112776398300896507867735543029154321279496133773507362971 (141 digits) SNFS difficulty: 175 digits. Divisors found: r1=195921956803879891722176628152563545351151624068600719579 (pp57) r2=2412112959277733136158379329413227056973402455984571483360300970815726666607005168449 (pp85) Version: Msieve v. 1.53 (SVN unknown) Total time: 13.51 hours. Factorization parameters were as follows: n: 472585891013690927808007159884989047949302757633860816124113241711821499349495477892112776398300896507867735543029154321279496133773507362971 m: 10000000000000000000000000000000000 deg: 5 c5: 11800 c0: -1 skew: 0.15 # Murphy_E = 1.435e-10 type: snfs lss: 1 rlim: 5600000 alim: 5600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5600000/5600000 Large primes per side: 3 Large prime bits: 27/27 Sieved rational special-q in [0, 0) Total raw relations: 12718330 Relations: 1366680 relations Pruned matrix : 895581 x 895806 Polynomial selection time: 0.00 hours. Total sieving time: 12.79 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.61 hours. time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,200000 total time: 13.51 hours. x86_64 Linux-3.13.0-43-generic-x86_64-with-Ubuntu-14.04-trusty processors: 4, speed: 3.20GHz

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 8, 2014 19:27:29 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 29 秒 (日本時間)

118×10¹⁷³-19

c123

name 名前	Serge Batalov
date 日付	December 11, 2014 01:33:41 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 41 秒 (日本時間)
composite number 合成数	857012026306089571577127214786616483463041816148135379247596136935091388932105284780494272156534422768667777877072056074117<123>
prime factors 素因数	5244658033512562298918853463613<31> 163406655082164339996649865629974960681664858275450512326525152268601277034168094826357183209<93>
factorization results 素因数分解の結果	Input number is 857012026306089571577127214786616483463041816148135379247596136935091388932105284780494272156534422768667777877072056074117 (123 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1725641639 Step 1 took 7629ms Step 2 took 6268ms ********** Factor found in step 2: 5244658033512562298918853463613 Found probable prime factor of 31 digits: 5244658033512562298918853463613 Probable prime cofactor 163406655082164339996649865629974960681664858275450512326525152268601277034168094826357183209 has 93 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:47:59 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 59 秒 (日本時間)

118×10¹⁷⁴-19

c131

name 名前	Jo Yeong Uk
date 日付	May 14, 2015 22:07:40 UTC 2015 年 5 月 15 日 (金) 7 時 7 分 40 秒 (日本時間)
composite number 合成数	10087476614563463497932463248859804019718377026227304119672002737891775642641957853054581088825180668946076541314287737052574501841<131>
prime factors 素因数	7716100806269936574391892889925066277095512323<46> 1307328256567954406108984158564325786629677265952543459087482471708462129950044589467<85>
factorization results 素因数分解の結果	Number: 13111_174 N=10087476614563463497932463248859804019718377026227304119672002737891775642641957853054581088825180668946076541314287737052574501841 ( 131 digits) SNFS difficulty: 176 digits. Divisors found: r1=7716100806269936574391892889925066277095512323 r2=1307328256567954406108984158564325786629677265952543459087482471708462129950044589467 Version: Total time: 29.13 hours. Scaled time: 150.29 units (timescale=5.160). Factorization parameters were as follows: n: 10087476614563463497932463248859804019718377026227304119672002737891775642641957853054581088825180668946076541314287737052574501841 m: 100000000000000000000000000000000000 deg: 5 c5: 59 c0: -5 skew: 0.61 # Murphy_E = 1.452e-10 type: snfs lss: 1 rlim: 7400000 alim: 7400000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3700000, 6900001) Primes: rational ideals reading, algebraic ideals reading, Relations: 17664944 Max relations in full relation-set: Initial matrix: Pruned matrix : 1322618 x 1322866 Total sieving time: 25.24 hours. Total relation processing time: 1.41 hours. Matrix solve time: 2.13 hours. Time per square root: 0.34 hours. Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000 total time: 29.13 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:48:00 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 0 秒 (日本時間)
45	11e6	921 / 3707	Pierre Jammes	February 12, 2015 07:12:40 UTC 2015 年 2 月 12 日 (木) 16 時 12 分 40 秒 (日本時間)
50	43e6	200 / 7335	Pierre Jammes	April 2, 2015 11:36:54 UTC 2015 年 4 月 2 日 (木) 20 時 36 分 54 秒 (日本時間)

118×10¹⁷⁵-19

c134

name 名前	Jo Yeong Uk
date 日付	May 24, 2015 07:48:30 UTC 2015 年 5 月 24 日 (日) 16 時 48 分 30 秒 (日本時間)
composite number 合成数	37705155574664628324489370737641955892687765135249193457435910564976586636473769003034685527280500293044711743926437757704277391813297<134>
prime factors 素因数	486442630157932358376023462422638958838219415773435151496856491<63> 77512029655836230221908973451342447412363514543780440637758408625352467<71>
factorization results 素因数分解の結果	Number: 13111_175 N=37705155574664628324489370737641955892687765135249193457435910564976586636473769003034685527280500293044711743926437757704277391813297 ( 134 digits) SNFS difficulty: 177 digits. Divisors found: r1=486442630157932358376023462422638958838219415773435151496856491 r2=77512029655836230221908973451342447412363514543780440637758408625352467 Version: Total time: 26.83 hours. Scaled time: 141.04 units (timescale=5.256). Factorization parameters were as follows: n: 37705155574664628324489370737641955892687765135249193457435910564976586636473769003034685527280500293044711743926437757704277391813297 m: 100000000000000000000000000000000000 deg: 5 c5: 118 c0: -1 skew: 0.39 # Murphy_E = 1.593e-10 type: snfs lss: 1 rlim: 7400000 alim: 7400000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3700000, 6700001) Primes: rational ideals reading, algebraic ideals reading, Relations: 17918746 Max relations in full relation-set: Initial matrix: Pruned matrix : 1186291 x 1186539 Total sieving time: 23.86 hours. Total relation processing time: 1.36 hours. Matrix solve time: 1.54 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000 total time: 26.83 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:48:00 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 0 秒 (日本時間)
45	11e6	585 / 4177		Cyp	January 29, 2015 22:29:00 UTC 2015 年 1 月 30 日 (金) 7 時 29 分 0 秒 (日本時間)
50	43e6	66 / 7410	24	Pierre Jammes	February 12, 2015 14:16:41 UTC 2015 年 2 月 12 日 (木) 23 時 16 分 41 秒 (日本時間)
50	43e6	66 / 7410	42	Pierre Jammes	April 2, 2015 20:19:02 UTC 2015 年 4 月 3 日 (金) 5 時 19 分 2 秒 (日本時間)

118×10¹⁷⁷-19

c134

name 名前	Pierre Jammes
date 日付	February 13, 2015 01:59:40 UTC 2015 年 2 月 13 日 (金) 10 時 59 分 40 秒 (日本時間)
composite number 合成数	25117443403331245132158264127971978794273830772449010429647758980910522214191822028361068220955670138829307875495053575260370080332451<134>
prime factors 素因数	42097734988158905480861792587022359<35> 596645957565084827251351113212305888723262140379302678041897562633504152637434507939303068338357589<99>
factorization results 素因数分解の結果	Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=557558826 Step 1 took 61340ms Step 2 took 53704ms ********** Factor found in step 2: 42097734988158905480861792587022359 Found probable prime factor of 35 digits: 42097734988158905480861792587022359 Probable prime cofactor 596645957565084827251351113212305888723262140379302678041897562633504152637434507939303068338357589 has 99 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	118		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280 / 2318		Cyp	December 9, 2014 13:31:02 UTC 2014 年 12 月 9 日 (火) 22 時 31 分 2 秒 (日本時間)

118×10¹⁷⁸-19

c152

name 名前	Jo Yeong Uk
date 日付	November 23, 2015 13:42:29 UTC 2015 年 11 月 23 日 (月) 22 時 42 分 29 秒 (日本時間)
composite number 合成数	12611750685890641234359470356428980002032403352303992964563319072124597583625918816617938648021968988114951536205331934247057449292545892724185660220763<152>
prime factors 素因数	607873316323915415254579384909485330356287344349686523346519683<63> 20747333938195536693608434729636275653333077823136122301396265415459429008490224263474761<89>
factorization results 素因数分解の結果	Number: 13111_178 N=12611750685890641234359470356428980002032403352303992964563319072124597583625918816617938648021968988114951536205331934247057449292545892724185660220763 ( 152 digits) SNFS difficulty: 180 digits. Divisors found: r1=607873316323915415254579384909485330356287344349686523346519683 r2=20747333938195536693608434729636275653333077823136122301396265415459429008490224263474761 Version: Total time: 54.68 hours. Scaled time: 272.27 units (timescale=4.979). Factorization parameters were as follows: n: 12611750685890641234359470356428980002032403352303992964563319072124597583625918816617938648021968988114951536205331934247057449292545892724185660220763 m: 200000000000000000000000000000000000 deg: 5 c5: 7375 c0: -2 skew: 0.19 # Murphy_E = 7.967e-11 type: snfs lss: 1 rlim: 5600000 alim: 5600000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 5600000/5600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [2800000, 5400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 18029465 Max relations in full relation-set: Initial matrix: Pruned matrix : 1331928 x 1332176 Total sieving time: 50.91 hours. Total relation processing time: 1.21 hours. Matrix solve time: 2.15 hours. Time per square root: 0.41 hours. Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,53,53,2.5,2.5,100000 total time: 54.68 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:48:00 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 0 秒 (日本時間)
45	11e6	600 / 4409	KTakahashi	May 10, 2015 18:16:47 UTC 2015 年 5 月 11 日 (月) 3 時 16 分 47 秒 (日本時間)

118×10¹⁸³-19

c168

name 名前	Jo Yeong Uk
date 日付	May 13, 2016 15:25:55 UTC 2016 年 5 月 14 日 (土) 0 時 25 分 55 秒 (日本時間)
composite number 合成数	192648931613163945264953105447654677770767932320815698663222955935234071894206919267259134665736488294272029790137080630459251510814835778963235465306974022441689817593<168>
prime factors 素因数	264046034143178209197376046024331259818318820128440434904047<60> 729603579308828442223522742071007848651554541845893048738674487657595919360023546610959156424828484578388119<108>
factorization results 素因数分解の結果	Number: 13111_183 N=192648931613163945264953105447654677770767932320815698663222955935234071894206919267259134665736488294272029790137080630459251510814835778963235465306974022441689817593 ( 168 digits) SNFS difficulty: 185 digits. Divisors found: r1=264046034143178209197376046024331259818318820128440434904047 r2=729603579308828442223522742071007848651554541845893048738674487657595919360023546610959156424828484578388119 Version: Total time: 78.30 hours. Scaled time: 411.78 units (timescale=5.259). Factorization parameters were as follows: n: 192648931613163945264953105447654677770767932320815698663222955935234071894206919267259134665736488294272029790137080630459251510814835778963235465306974022441689817593 m: 2000000000000000000000000000000000000 deg: 5 c5: 7375 c0: -2 skew: 0.19 # Murphy_E = 4.998e-11 type: snfs lss: 1 rlim: 7200000 alim: 7200000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 7200000/7200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [3600000, 7200001) Primes: rational ideals reading, algebraic ideals reading, Relations: 20326595 Max relations in full relation-set: Initial matrix: Pruned matrix : 1677096 x 1677344 Total sieving time: 72.67 hours. Total relation processing time: 1.92 hours. Matrix solve time: 3.57 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,185,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,54,54,2.5,2.5,100000 total time: 78.30 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49365464k/51380224k available (5398k kernel code, 1086460k absent, 928300k reserved, 7010k data, 1296k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.67 BogoMIPS (lpj=3399839) Total of 12 processors activated (81596.13 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 7, 2014 17:48:30 UTC 2014 年 12 月 8 日 (月) 2 時 48 分 30 秒 (日本時間)
45	11e6	600 / 4413	KTakahashi	May 30, 2015 21:09:06 UTC 2015 年 5 月 31 日 (日) 6 時 9 分 6 秒 (日本時間)

118×10¹⁸⁵-19

c178

name 名前	Jo Yeong Uk
date 日付	September 8, 2016 00:22:30 UTC 2016 年 9 月 8 日 (木) 9 時 22 分 30 秒 (日本時間)
composite number 合成数	3034780329633770741700279128472988560514623995723259995832336173313942640423006672868044809845266866673247047723452733187962571907084936150314062639495011997629829361382361512971<178>
prime factors 素因数	1856624152367421197156981086216474176713431554247695851243047420845798064313<76> 1634569024519075325416622988167634998179537891661899254793373690081629354532824481707730587663615908067<103>
factorization results 素因数分解の結果	Number: 13111_185 N=3034780329633770741700279128472988560514623995723259995832336173313942640423006672868044809845266866673247047723452733187962571907084936150314062639495011997629829361382361512971 ( 178 digits) SNFS difficulty: 187 digits. Divisors found: r1=1856624152367421197156981086216474176713431554247695851243047420845798064313 r2=1634569024519075325416622988167634998179537891661899254793373690081629354532824481707730587663615908067 Version: Total time: 62.82 hours. Scaled time: 330.26 units (timescale=5.257). Factorization parameters were as follows: n: 3034780329633770741700279128472988560514623995723259995832336173313942640423006672868044809845266866673247047723452733187962571907084936150314062639495011997629829361382361512971 m: 10000000000000000000000000000000000000 deg: 5 c5: 118 c0: -1 skew: 0.39 # Murphy_E = 6.261e-11 type: snfs lss: 1 rlim: 7400000 alim: 7400000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 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: 54/54 Sieved rational special-q in [3700000, 6500001) Primes: rational ideals reading, algebraic ideals reading, Relations: 19893958 Max relations in full relation-set: Initial matrix: Pruned matrix : 1542231 x 1542479 Total sieving time: 58.28 hours. Total relation processing time: 1.48 hours. Matrix solve time: 2.96 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000 total time: 62.82 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852) Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 8, 2014 01:05:07 UTC 2014 年 12 月 8 日 (月) 10 時 5 分 7 秒 (日本時間)
45	11e6	591 / 4413	Cyp	July 31, 2015 18:23:27 UTC 2015 年 8 月 1 日 (土) 3 時 23 分 27 秒 (日本時間)

118×10¹⁸⁸-19

c181

name 名前	Jo Yeong Uk
date 日付	January 3, 2017 11:06:10 UTC 2017 年 1 月 3 日 (火) 20 時 6 分 10 秒 (日本時間)
composite number 合成数	2281668778025306162055939913586153406381079146105236864928866165331867131429680184796778449357784963638356644158060246357667762627785200713410769029850594825994021151099350005758961<181>
prime factors 素因数	1347162297673899650995415355640467251238755855202075778479205291280159<70> 1693685149862780290285465524828477494700905342752003669149847055389280646030761095598379945875197754227318909679<112>
factorization results 素因数分解の結果	Number: 13111_188 N=2281668778025306162055939913586153406381079146105236864928866165331867131429680184796778449357784963638356644158060246357667762627785200713410769029850594825994021151099350005758961 ( 181 digits) SNFS difficulty: 190 digits. Divisors found: r1=1347162297673899650995415355640467251238755855202075778479205291280159 r2=1693685149862780290285465524828477494700905342752003669149847055389280646030761095598379945875197754227318909679 Version: Total time: 121.16 hours. Scaled time: 618.66 units (timescale=5.106). Factorization parameters were as follows: n: 2281668778025306162055939913586153406381079146105236864928866165331867131429680184796778449357784963638356644158060246357667762627785200713410769029850594825994021151099350005758961 m: 20000000000000000000000000000000000000 deg: 5 c5: 7375 c0: -2 skew: 0.19 # Murphy_E = 3.122e-11 type: snfs lss: 1 rlim: 9000000 alim: 9000000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9000000/9000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4500000, 9900001) Primes: rational ideals reading, algebraic ideals reading, Relations: 21417921 Max relations in full relation-set: Initial matrix: Pruned matrix : 1944390 x 1944637 Total sieving time: 112.30 hours. Total relation processing time: 3.08 hours. Matrix solve time: 5.44 hours. Time per square root: 0.35 hours. Prototype def-par.txt line would be: snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000 total time: 121.16 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	580	280	Cyp	December 10, 2014 15:09:54 UTC 2014 年 12 月 11 日 (木) 0 時 9 分 54 秒 (日本時間)
40	3e6	580	300	Serge Batalov	December 10, 2014 19:48:01 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 1 秒 (日本時間)
45	11e6	504 / 4347		Cyp	May 31, 2015 23:52:56 UTC 2015 年 6 月 1 日 (月) 8 時 52 分 56 秒 (日本時間)

118×10¹⁸⁹-19

c187

name 名前	Serge Batalov
date 日付	December 9, 2014 01:03:40 UTC 2014 年 12 月 9 日 (火) 10 時 3 分 40 秒 (日本時間)
composite number 合成数	1539043445370479059879224217761604778860325285962097794472486337728737071382921834852812667110119862790364022903053305682722280914557003299813488802806797876641755031237364844595740240769<187>
prime factors 素因数	1824454028218455538606702133759<31>
composite cofactor 合成数の残り	843563839683768599146072217211036146295439111815119510588157640418664253142269341232525571293939984161293684538277962065573594540993425420055225482468299391<156>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=63468235 Step 1 took 15076ms ********** Factor found in step 1: 1824454028218455538606702133759 Found probable prime factor of 31 digits: 1824454028218455538606702133759 Composite cofactor

c156

name 名前	Jo Yeong Uk
date 日付	February 5, 2017 01:13:40 UTC 2017 年 2 月 5 日 (日) 10 時 13 分 40 秒 (日本時間)
composite number 合成数	843563839683768599146072217211036146295439111815119510588157640418664253142269341232525571293939984161293684538277962065573594540993425420055225482468299391<156>
prime factors 素因数	513014587477687710823936315021738790509623543616180110434072521167903976069<75> 1644327199020353983814702302494892183555575555216850666566290303938128299503948339<82>
factorization results 素因数分解の結果	Number: 13111_189 N=843563839683768599146072217211036146295439111815119510588157640418664253142269341232525571293939984161293684538277962065573594540993425420055225482468299391 ( 156 digits) SNFS difficulty: 191 digits. Divisors found: r1=513014587477687710823936315021738790509623543616180110434072521167903976069 r2=1644327199020353983814702302494892183555575555216850666566290303938128299503948339 Version: Total time: 102.41 hours. Scaled time: 536.73 units (timescale=5.241). Factorization parameters were as follows: n: 843563839683768599146072217211036146295439111815119510588157640418664253142269341232525571293939984161293684538277962065573594540993425420055225482468299391 m: 100000000000000000000000000000000000000 deg: 5 c5: 59 c0: -5 skew: 0.61 # Murphy_E = 3.557e-11 type: snfs lss: 1 rlim: 9000000 alim: 9000000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9000000/9000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4500000, 9000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 20903329 Max relations in full relation-set: Initial matrix: Pruned matrix : 1873261 x 1873508 Total sieving time: 94.72 hours. Total relation processing time: 2.48 hours. Matrix solve time: 4.92 hours. Time per square root: 0.28 hours. Prototype def-par.txt line would be: snfs,191,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000 total time: 102.41 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 9, 2014 00:57:32 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 32 秒 (日本時間)

118×10¹⁹⁰-19

c146

name 名前	Serge Batalov
date 日付	December 11, 2014 01:33:44 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 44 秒 (日本時間)
composite number 合成数	58605157428772955291994994295869182414416796133041198518569714601336914198149963334972050125698397853332970056534843948469694845255719122631954927<146>
prime factors 素因数	9331275046342427603534826509447<31> 6280509055591965628478363579885245875648954647841005641338280886875998832295604430748524458963064529014963860330841<115>
factorization results 素因数分解の結果	Input number is 58605157428772955291994994295869182414416796133041198518569714601336914198149963334972050125698397853332970056534843948469694845255719122631954927 (146 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2488140071 Step 1 took 9145ms Step 2 took 7358ms ********** Factor found in step 2: 9331275046342427603534826509447 Found probable prime factor of 31 digits: 9331275046342427603534826509447 Probable prime cofactor 6280509055591965628478363579885245875648954647841005641338280886875998832295604430748524458963064529014963860330841 has 115 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:01 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 1 秒 (日本時間)

118×10¹⁹¹-19

c173

name 名前	Cyp
date 日付	December 7, 2014 04:54:48 UTC 2014 年 12 月 7 日 (日) 13 時 54 分 48 秒 (日本時間)
composite number 合成数	18823006928041380002474789737635707362879948771757586945623629980118197452212949124160219443796214117433121274136134324297951873030717141071724405878429710178321865818963771<173>
prime factors 素因数	1297540213381135231789002852721<31> 14506684828666941143820106012683369030376489459030719725066939172993422425359184059765839222301183711599034628903738531706677018626147711475051<143>
factorization results 素因数分解の結果	Run 32 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1892847255 Step 1 took 13491ms Step 2 took 5076ms ********** Factor found in step 2: 1297540213381135231789002852721 Found probable prime factor of 31 digits: 1297540213381135231789002852721 Probable prime cofactor 14506684828666941143820106012683369030376489459030719725066939172993422425359184059765839222301183711599034628903738531706677018626147711475051 has 143 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 / 815	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	32 / 2318	Cyp	December 7, 2014 04:54:48 UTC 2014 年 12 月 7 日 (日) 13 時 54 分 48 秒 (日本時間)

118×10¹⁹³-19

c154

name 名前	Jo Yeong Uk
date 日付	July 31, 2017 11:16:16 UTC 2017 年 7 月 31 日 (月) 20 時 16 分 16 秒 (日本時間)
composite number 合成数	1266653939454941848959014837323272182217347865067352307955140223890493838757569829623168572369583475559009859607880359482733945056772066799618453231595371<154>
prime factors 素因数	104070754539382051165435957109590865776942719147095688719462774756761<69> 12171084422911718003130889090078816279584830667697206899443979476454816939571300911011<86>
factorization results 素因数分解の結果	Number: 13111_193 N=1266653939454941848959014837323272182217347865067352307955140223890493838757569829623168572369583475559009859607880359482733945056772066799618453231595371 ( 154 digits) SNFS difficulty: 195 digits. Divisors found: r1=104070754539382051165435957109590865776942719147095688719462774756761 r2=12171084422911718003130889090078816279584830667697206899443979476454816939571300911011 Version: Total time: 186.24 hours. Scaled time: 977.01 units (timescale=5.246). Factorization parameters were as follows: n: 1266653939454941848959014837323272182217347865067352307955140223890493838757569829623168572369583475559009859607880359482733945056772066799618453231595371 m: 200000000000000000000000000000000000000 deg: 5 c5: 7375 c0: -2 skew: 0.19 # Murphy_E = 1.942e-11 type: snfs lss: 1 rlim: 12000000 alim: 12000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12000000/12000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [6000000, 13800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 23863160 Max relations in full relation-set: Initial matrix: Pruned matrix : 2377028 x 2377276 Total sieving time: 171.05 hours. Total relation processing time: 5.10 hours. Matrix solve time: 9.18 hours. Time per square root: 0.92 hours. Prototype def-par.txt line would be: snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000 total time: 186.24 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:48:02 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 2 秒 (日本時間)
45	11e6	585 / 4409	Cyp	February 10, 2015 17:26:51 UTC 2015 年 2 月 11 日 (水) 2 時 26 分 51 秒 (日本時間)

118×10¹⁹⁵-19

c181

name 名前	Jo Yeong Uk
date 日付	September 24, 2017 10:13:46 UTC 2017 年 9 月 24 日 (日) 19 時 13 分 46 秒 (日本時間)
composite number 合成数	6600453145841252913667077903338811587506216790134074870652596793631011024012814449282785660396753939264904036420214424568300398163795309867902156380825882669400639941227949986481173<181>
prime factors 素因数	1800076356708559092040585062815653307497351809478873<52> 3666762868831956784281752824891414127484968702836762079526318409222817610491878812705101625894445524421838993438833926617160755101<130>
factorization results 素因数分解の結果	Number: 13111_195 N=6600453145841252913667077903338811587506216790134074870652596793631011024012814449282785660396753939264904036420214424568300398163795309867902156380825882669400639941227949986481173 ( 181 digits) SNFS difficulty: 197 digits. Divisors found: r1=1800076356708559092040585062815653307497351809478873 r2=3666762868831956784281752824891414127484968702836762079526318409222817610491878812705101625894445524421838993438833926617160755101 Version: Total time: 142.59 hours. Scaled time: 749.16 units (timescale=5.254). Factorization parameters were as follows: n: 6600453145841252913667077903338811587506216790134074870652596793631011024012814449282785660396753939264904036420214424568300398163795309867902156380825882669400639941227949986481173 m: 1000000000000000000000000000000000000000 deg: 5 c5: 118 c0: -1 skew: 0.39 # Murphy_E = 2.418e-11 type: snfs lss: 1 rlim: 12000000 alim: 12000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12000000/12000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [6000000, 11900001) Primes: rational ideals reading, algebraic ideals reading, Relations: 23106093 Max relations in full relation-set: Initial matrix: Pruned matrix : 2174143 x 2174391 Total sieving time: 131.13 hours. Total relation processing time: 3.72 hours. Matrix solve time: 7.24 hours. Time per square root: 0.50 hours. Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000 total time: 142.59 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:48:02 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 2 秒 (日本時間)
45	11e6	585 / 4409	Cyp	June 28, 2015 19:12:24 UTC 2015 年 6 月 29 日 (月) 4 時 12 分 24 秒 (日本時間)

118×10¹⁹⁶-19

c189

name 名前	Jo Yeong Uk
date 日付	November 19, 2017 03:15:29 UTC 2017 年 11 月 19 日 (日) 12 時 15 分 29 秒 (日本時間)
composite number 合成数	533850216885495331546132198015973990151477813874693574103798597781510232286522141858265475575713088266921083755010874784532680031687376343013154779183880887462665507428112486459019318137847<189>
prime factors 素因数	1306467467952003897009182784739715217498255902098449278774390217338159060337476598433451<88> 408621132925988443767566014002037046158178079805083553011005763843635806203556720966139575569076148197<102>
factorization results 素因数分解の結果	Number: 13111_196 N=533850216885495331546132198015973990151477813874693574103798597781510232286522141858265475575713088266921083755010874784532680031687376343013154779183880887462665507428112486459019318137847 ( 189 digits) SNFS difficulty: 198 digits. Divisors found: r1=1306467467952003897009182784739715217498255902098449278774390217338159060337476598433451 r2=408621132925988443767566014002037046158178079805083553011005763843635806203556720966139575569076148197 Version: Total time: 177.68 hours. Scaled time: 909.89 units (timescale=5.121). Factorization parameters were as follows: n: 533850216885495331546132198015973990151477813874693574103798597781510232286522141858265475575713088266921083755010874784532680031687376343013154779183880887462665507428112486459019318137847 m: 1000000000000000000000000000000000000000 deg: 5 c5: 1180 c0: -1 skew: 0.24 # Murphy_E = 1.875e-11 type: snfs lss: 1 rlim: 13000000 alim: 13000000 lpbr: 29 lpba: 29 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13000000/13000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 55/55 Sieved rational special-q in [6500000, 13600001) Primes: rational ideals reading, algebraic ideals reading, Relations: 34585665 Max relations in full relation-set: Initial matrix: Pruned matrix : 2645402 x 2645648 Total sieving time: 159.18 hours. Total relation processing time: 6.31 hours. Matrix solve time: 11.78 hours. Time per square root: 0.41 hours. Prototype def-par.txt line would be: snfs,198,5,0,0,0,0,0,0,0,0,13000000,13000000,29,29,55,55,2.5,2.5,100000 total time: 177.68 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 9, 2014 04:58:32 UTC 2014 年 12 月 9 日 (火) 13 時 58 分 32 秒 (日本時間)
45	11e6	591 / 4413	Cyp	June 19, 2015 06:05:21 UTC 2015 年 6 月 19 日 (金) 15 時 5 分 21 秒 (日本時間)

118×10¹⁹⁸-19

c165

name 名前	Jo Yeong Uk
date 日付	April 6, 2018 12:24:37 UTC 2018 年 4 月 6 日 (金) 21 時 24 分 37 秒 (日本時間)
composite number 合成数	398050280616662609200952080048321696560793929410691161418081974449992570043435863603145096728251130082203476652026267663858205495548198046623198081978966025989193053<165>
prime factors 素因数	4031297079955913080927618280506797167813<40> 98740001721980696016101069539768559669459799900704625036303156718129477900909308837168103253271437496278569543801400743575481<125>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 398050280616662609200952080048321696560793929410691161418081974449992570043435863603145096728251130082203476652026267663858205495548198046623198081978966025989193053 (165 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2511218988 Step 1 took 29669ms Step 2 took 10265ms ********** Factor found in step 2: 4031297079955913080927618280506797167813 Found probable prime factor of 40 digits: 4031297079955913080927618280506797167813 Probable prime cofactor 98740001721980696016101069539768559669459799900704625036303156718129477900909308837168103253271437496278569543801400743575481 has 125 digits
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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	580	280	Cyp	December 10, 2014 15:09:42 UTC 2014 年 12 月 11 日 (木) 0 時 9 分 42 秒 (日本時間)
40	3e6	580	300	Serge Batalov	December 10, 2014 19:48:03 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 3 秒 (日本時間)
45	11e6	504 / 4347		Cyp	June 14, 2015 17:08:26 UTC 2015 年 6 月 15 日 (月) 2 時 8 分 26 秒 (日本時間)

118×10¹⁹⁹-19

c144

name 名前	Jo Yeong Uk
date 日付	June 13, 2018 07:01:14 UTC 2018 年 6 月 13 日 (水) 16 時 1 分 14 秒 (日本時間)
composite number 合成数	694583047857124430422298078804988960842106056896363527479288536560348457278330373225468422683191831704822654456839081498937706147429457732627099<144>
prime factors 素因数	520835419057530385697155259888535406952837898944295099780105075153211<69> 1333594111387425145198745549854595074929526657460159440332170095772408946209<76>
factorization results 素因数分解の結果	Number: 13111_199 N=694583047857124430422298078804988960842106056896363527479288536560348457278330373225468422683191831704822654456839081498937706147429457732627099 ( 144 digits) SNFS difficulty: 201 digits. Divisors found: r1=520835419057530385697155259888535406952837898944295099780105075153211 r2=1333594111387425145198745549854595074929526657460159440332170095772408946209 Version: Total time: 227.05 hours. Scaled time: 1189.28 units (timescale=5.238). Factorization parameters were as follows: n: 694583047857124430422298078804988960842106056896363527479288536560348457278330373225468422683191831704822654456839081498937706147429457732627099 m: 10000000000000000000000000000000000000000 deg: 5 c5: 59 c0: -5 skew: 0.61 # Murphy_E = 1.363e-11 type: snfs lss: 1 rlim: 16000000 alim: 16000000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16000000/16000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved rational special-q in [8000000, 16500001) Primes: rational ideals reading, algebraic ideals reading, Relations: 38284214 Max relations in full relation-set: Initial matrix: Pruned matrix : 3153300 x 3153548 Total sieving time: 205.67 hours. Total relation processing time: 2.91 hours. Matrix solve time: 18.22 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000 total time: 227.05 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49367612k/51380224k available (5516k kernel code, 1086464k absent, 926148k reserved, 6912k data, 1332k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399960) Total of 12 processors activated (81599.04 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 7, 2014 02:40:01 UTC 2014 年 12 月 7 日 (日) 11 時 40 分 1 秒 (日本時間)
45	11e6	591 / 4413	Cyp	June 4, 2015 05:59:41 UTC 2015 年 6 月 4 日 (木) 14 時 59 分 41 秒 (日本時間)

118×10²⁰¹-19

c197

name 名前	Serge Batalov
date 日付	December 10, 2014 20:39:54 UTC 2014 年 12 月 11 日 (木) 5 時 39 分 54 秒 (日本時間)
composite number 合成数	47607347508219327856874561498001500034898606436109931013725843809975675873040080141724652819383775335278779347609889256433749736243191241539105199730978141368808069364712223670615252345166179901711<197>
prime factors 素因数	3399997429976970861933194742599<31> 16538597233664093998637396213672472679<38> 846635988414860752345019624195240722905868580908047899254345632254760084857152178206451885110004506552008523238541449752171692191<129>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3340330656 Step 1 took 15976ms Step 2 took 10245ms ******** Factor found in step 2: 3399997429976970861933194742599 Found probable prime factor of 31 digits: 3399997429976970861933194742599 -- Input number is 47607347508219327856874561498001500034898606436109931013725843809975675873040080141724652819383775335278779347609889256433749736243191241539105199730978141368808069364712223670615252345166179901711 (197 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1245110147 Step 1 took 15977ms Step 2 took 10236ms ******** Factor found in step 2: 16538597233664093998637396213672472679 Found probable prime factor of 38 digits: 16538597233664093998637396213672472679

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:48:03 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 3 秒 (日本時間)

118×10²⁰²-19

c179

name 名前	Cyp
date 日付	December 8, 2014 22:48:50 UTC 2014 年 12 月 9 日 (火) 7 時 48 分 50 秒 (日本時間)
composite number 合成数	15618796846021414900656507528084708031877875580850714086806105439554117115651619995654179973530506691709752451412883763259443631700368116135193348470419288299247421543866208043527<179>
prime factors 素因数	337659404615599651927846590551009421847<39>
composite cofactor 合成数の残り	46256069377964650710664481287858042377159131185293201614289974059895985633066850968867849843579251110528366629103069685775660717234594647441<140>
factorization results 素因数分解の結果	Run 250 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3732883776 Step 1 took 15963ms Step 2 took 5615ms ********** Factor found in step 2: 337659404615599651927846590551009421847 Found probable prime factor of 39 digits: 337659404615599651927846590551009421847 Composite cofactor 46256069377964650710664481287858042377159131185293201614289974059895985633066850968867849843579251110528366629103069685775660717234594647441 has 140 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

c140

name 名前	Erik Branger
date 日付	September 2, 2016 05:51:26 UTC 2016 年 9 月 2 日 (金) 14 時 51 分 26 秒 (日本時間)
composite number 合成数	46256069377964650710664481287858042377159131185293201614289974059895985633066850968867849843579251110528366629103069685775660717234594647441<140>
prime factors 素因数	14256198356316914384213030319471954216719300546563801294492225128683<68> 3244628632532221286777497594496227654664186889930061876353198580869031027<73>
factorization results 素因数分解の結果	Number: 13111_202 N = 46256069377964650710664481287858042377159131185293201614289974059895985633066850968867849843579251110528366629103069685775660717234594647441 (140 digits) Divisors found: r1=14256198356316914384213030319471954216719300546563801294492225128683 (pp68) r2=3244628632532221286777497594496227654664186889930061876353198580869031027 (pp73) Version: Msieve v. 1.51 (SVN 845) Total time: 308.02 hours. Factorization parameters were as follows: # Murphy_E = 2.212e-11, selected by Erik Branger # expecting poly E from 2.15e-011 to > 2.48e-011 n: 46256069377964650710664481287858042377159131185293201614289974059895985633066850968867849843579251110528366629103069685775660717234594647441 Y0: -1825772993145039827762984802 Y1: 44486458443119 c0: 64258665651638073885706269876589105 c1: -89798735894337945332170182593 c2: -159259347837388917393071 c3: -13974349963886377 c4: -3186941444 c5: 2280 skew: 2677144.5 type: gnfs # selected mechanically rlim: 17900000 alim: 17900000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 17900000/17900000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 23147522 Relations: 3131590 relations Pruned matrix : 1981705 x 1981930 Polynomial selection time: 0.00 hours. Total sieving time: 303.93 hours. Total relation processing time: 0.20 hours. Matrix solve time: 3.63 hours. time per square root: 0.26 hours. Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17900000,17900000,28,28,55,55,2.6,2.6,100000 total time: 308.02 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2600	280	Cyp	December 8, 2014 22:48:49 UTC 2014 年 12 月 9 日 (火) 7 時 48 分 49 秒 (日本時間)
40	3e6	2600	2320	Serge Batalov	December 9, 2014 19:25:55 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 55 秒 (日本時間)
45	11e6	4523	451	Pierre Jammes	April 3, 2015 05:52:33 UTC 2015 年 4 月 3 日 (金) 14 時 52 分 33 秒 (日本時間)
			1000	Rich Dickerson	October 14, 2015 23:06:27 UTC 2015 年 10 月 15 日 (木) 8 時 6 分 27 秒 (日本時間)
			3072	Ignacio Santos	December 15, 2015 23:16:59 UTC 2015 年 12 月 16 日 (水) 8 時 16 分 59 秒 (日本時間)

118×10²⁰⁴-19

c153

name 名前	Cyp
date 日付	December 10, 2014 17:48:21 UTC 2014 年 12 月 11 日 (木) 2 時 48 分 21 秒 (日本時間)
composite number 合成数	389720772251736027322922102070055697492978991878356246698054641679274157549377784496030458844337923909264678743814359975284421553967702488680973171517519<153>
prime factors 素因数	1447142441653738454755650716209837<34> 269303671175850657999185595561436088734608401954625435142258946499838014894411280122614118634056550208201275148358894187<120>
factorization results 素因数分解の結果	Run 197 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3191084363 Step 1 took 11556ms Step 2 took 4507ms ********** Factor found in step 2: 1447142441653738454755650716209837 Found probable prime factor of 34 digits: 1447142441653738454755650716209837 Probable prime cofactor 269303671175850657999185595561436088734608401954625435142258946499838014894411280122614118634056550208201275148358894187 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
30	25e4	0	-	-
35	1e6	118 / 351	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	197 / 2318	Cyp	December 10, 2014 17:48:20 UTC 2014 年 12 月 11 日 (木) 2 時 48 分 20 秒 (日本時間)

118×10²⁰⁵-19

c200

name 名前	Bob Backstrom
date 日付	July 28, 2017 13:31:42 UTC 2017 年 7 月 28 日 (金) 22 時 31 分 42 秒 (日本時間)
composite number 合成数	54580529894611934976457058467449952776277969572834733717089964116076875473734715774897128421187403128232190754696550524387066431119301890970211010641306887308921312498927469460227699794689323692191529<200>
prime factors 素因数	4645659978103185799897635107418265706957779271<46> 11748713886050924955652542328632755068220098172683439950033205084866048483821617569451863196602913735649132426258121153666296798100623917064166147875574799<155>
factorization results 素因数分解の結果	Number: n N=54580529894611934976457058467449952776277969572834733717089964116076875473734715774897128421187403128232190754696550524387066431119301890970211010641306887308921312498927469460227699794689323692191529 ( 200 digits) SNFS difficulty: 207 digits. Divisors found: Fri Jul 28 23:20:39 2017 prp46 factor: 4645659978103185799897635107418265706957779271 Fri Jul 28 23:20:39 2017 prp155 factor: 11748713886050924955652542328632755068220098172683439950033205084866048483821617569451863196602913735649132426258121153666296798100623917064166147875574799 Fri Jul 28 23:20:39 2017 elapsed time 05:18:54 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=4.355). Factorization parameters were as follows: # # N = (118*10^205-1)/9 or 13(1)205<207> # n: 54580529894611934976457058467449952776277969572834733717089964116076875473734715774897128421187403128232190754696550524387066431119301890970211010641306887308921312498927469460227699794689323692191529 m: 100000000000000000000000000000000000000000 deg: 5 c5: 118 c0: -1 skew: 0.39 # Murphy_E = 9.185e-12 type: snfs lss: 1 rlim: 19800000 alim: 19800000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19800000/19800000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 16300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 6185748 hash collisions in 49714007 relations (45487547 unique) Msieve: matrix is 2553876 x 2554101 (723.7 MB) Total sieving time: 0.00 hours. Total relation processing time: 5hrs 4min 1sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 1sec. Prototype def-par.txt line would be:snfs,207,5,0,0,0,0,0,0,0,0,19800000,19800000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.050273] smpboot: CPU0: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz (family: 0x6, model: 0x5e, stepping: 0x3) [ 0.000000] Memory: 16339156K/16705272K available (7836K kernel code, 1309K rwdata, 3448K rodata, 1528K init, 1544K bss, 366116K reserved, 0K cma-reserved) [ 0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 8016.72 BogoMIPS (lpj=4008360) [ 0.074633] smpboot: Total of 8 processors activated (64133.76 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 8, 2014 10:05:28 UTC 2014 年 12 月 8 日 (月) 19 時 5 分 28 秒 (日本時間)
45	11e6	591 / 4413	Cyp	January 28, 2015 21:12:54 UTC 2015 年 1 月 29 日 (木) 6 時 12 分 54 秒 (日本時間)

118×10²⁰⁶-19

c181

name 名前	Cyp
date 日付	December 9, 2014 23:27:34 UTC 2014 年 12 月 10 日 (水) 8 時 27 分 34 秒 (日本時間)
composite number 合成数	2232689036072644848537610158723237775714914430264899569086676322022848752767132375916691059478869074058428856722554399597119752775278804021368589115364330255570267610703683783330109<181>
prime factors 素因数	38116306259830756310801808653<29>
composite cofactor 合成数の残り	58575692535705804113236547612816423038034748891763545155357270057686981904434413188085490413765381339611732722425181797781349795841744177533492461965553<152>
factorization results 素因数分解の結果	Run 39 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1847552317 Step 1 took 16299ms Step 2 took 5552ms ********** Factor found in step 2: 38116306259830756310801808653 Found probable prime factor of 29 digits: 38116306259830756310801808653 Composite cofactor 58575692535705804113236547612816423038034748891763545155357270057686981904434413188085490413765381339611732722425181797781349795841744177533492461965553 has 152 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

c152

name 名前	Bob Backstrom
date 日付	October 24, 2021 03:11:57 UTC 2021 年 10 月 24 日 (日) 12 時 11 分 57 秒 (日本時間)
composite number 合成数	58575692535705804113236547612816423038034748891763545155357270057686981904434413188085490413765381339611732722425181797781349795841744177533492461965553<152>
prime factors 素因数	594056129974552043349077755285906983059<39> 26208460587852233118024194917722074824633269959<47> 3762256817341850361391043519053911031174588700097078883882183566013<67>
factorization results 素因数分解の結果	# # N = 118x10^206-1 = 131(206) # n: 58575692535705804113236547612816423038034748891763545155357270057686981904434413188085490413765381339611732722425181797781349795841744177533492461965553 m: 100000000000000000000000000000000000000000 deg: 5 c5: 1180 c0: -1 skew: 0.24 # Murphy_E = 7.118e-12 type: snfs lss: 1 rlim: 21000000 alim: 21000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 58575692535705804113236547612816423038034748891763545155357270057686981904434413188085490413765381339611732722425181797781349795841744177533492461965553 (152 digits) Using B1=35670000, B2=192388936756, polynomial Dickson(12), sigma=1:3964970452 Step 1 took 73858ms Step 2 took 28125ms ********** Factor found in step 2: 594056129974552043349077755285906983059 Found prime factor of 39 digits: 594056129974552043349077755285906983059 Composite cofactor 98602959518682263160419899663448827785988460541110585439771546333987218796677166413638133131901365504391526303467 has 113 digits CADO STA:Sun 24 Oct 2021 12:58:14 AEDT (98,602,959,518,682,263,160,419,899,663,448,827,785,988,460,541,110,585,439,771,546,333,987,218,796,677,166,413,638,133,131,901,365,504,391,526,303,467 - C113) /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 98602959518682263160419899663448827785988460541110585439771546333987218796677166413638133131901365504391526303467 2>&1 \| tee -a log56 Debug:root: Looking for parameter file for c113 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115 Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.zvyoau6k Info:Database: Opened connection to database /tmp/cado.zvyoau6k/c115.db Info:root: tasks.polyselect.threads = 2 Info:root: tasks.sieve.las.threads = 2 Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0 Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 98602959518682263160419899663448827785988460541110585439771546333987218796677166413638133131901365504391526303467 Debug:root: Root parameter dictionary: N = 98602959518682263160419899663448827785988460541110585439771546333987218796677166413638133131901365504391526303467 lim0 = 5484593 lim1 = 2800829 lpb0 = 26 lpb1 = 26 name = c115 ... n: 98602959518682263160419899663448827785988460541110585439771546333987218796677166413638133131901365504391526303467 skew: 778778.841 c0: -111313297005695941009070773143 c1: -77218553978205431500377 c2: -150294741778718234 c3: -410803985236 c4: 417240 Y0: -697268160730720923528041330 Y1: 155413417165707067 # MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 3.22e-09 # f(x) = 417240x^4-410803985236x^3-150294741778718234x^2-77218553978205431500377x-111313297005695941009070773143 # g(x) = 155413417165707067*x-697268160730720923528041330 ... Info:Square Root: Factors: 3762256817341850361391043519053911031174588700097078883882183566013 26208460587852233118024194917722074824633269959 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Square Root: Total cpu/real time for sqrt: 250.81/36.3896 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 55681.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56416/37.610/43.163/49.380/0.645 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56416/37.400/42.334/43.980/1.018 Info:Polynomial Selection (size optimized): Total time: 1114.88 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 145.93 Info:Polynomial Selection (root optimized): Rootsieve time: 145.27 Info:Generate Factor Base: Total cpu/real time for makefb: 2.65/0.281216 Info:Generate Free Relations: Total cpu/real time for freerel: 54/3.67056 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6792853 Info:Lattice Sieving: Average J: 4090.71 for 56689 special-q, max bucket fill: 0.65029 Info:Lattice Sieving: Total CPU time: 50780.5s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.49/18.6923 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.97/27.9619 Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.75/30.3295 Info:Filtering - Merging: Total cpu/real time for merge: 109.23/86.8902 Info:Filtering - Merging: Total cpu/real time for replay: 11.78/8.76695 Info:Linear Algebra: Total cpu/real time for bwc: 3002.25/0.000321388 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 119.17 Info:Linear Algebra: Lingen CPU time 71.39, WCT time 7.32 Info:Linear Algebra: Mksol: WCT time 71.86 Info:Quadratic Characters: Total cpu/real time for characters: 12.82/2.97079 Info:Square Root: Total cpu/real time for sqrt: 250.81/36.3896 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 55676.1/3860.28 Info:root: Cleaning up computation data in /tmp/cado.zvyoau6k 3762256817341850361391043519053911031174588700097078883882183566013 26208460587852233118024194917722074824633269959 END:Sun 24 Oct 2021 14:02:35 AEDT (98,602,959,518,682,263,160,419,899,663,448,827,785,988,460,541,110,585,439,771,546,333,987,218,796,677,166,413,638,133,131,901,365,504,391,526,303,467 - C113)

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 9, 2014 23:27:34 UTC 2014 年 12 月 10 日 (水) 8 時 27 分 34 秒 (日本時間)
45	11e6	591 / 4413	Cyp	February 6, 2015 15:20:58 UTC 2015 年 2 月 7 日 (土) 0 時 20 分 58 秒 (日本時間)

118×10²⁰⁷-19

c167

name 名前	ebina
date 日付	March 7, 2023 22:27:14 UTC 2023 年 3 月 8 日 (水) 7 時 27 分 14 秒 (日本時間)
composite number 合成数	92116577936760869855275152851353944320342361948232837704687144420991063098869672504463017121093979346885924419575632653451328127045241744195488931272773490510216850767<167>
prime factors 素因数	3391339292448020513497874711737760294104076162403421528100806281151537473056473601<82> 27162300788331621142996827831882388396205266683335311652528815963432941594672757919567<86>
factorization results 素因数分解の結果	Number: 13111_207 N = 92116577936760869855275152851353944320342361948232837704687144420991063098869672504463017121093979346885924419575632653451328127045241744195488931272773490510216850767 (167 digits) SNFS difficulty: 210 digits. Divisors found: r1=3391339292448020513497874711737760294104076162403421528100806281151537473056473601 (pp82) r2=27162300788331621142996827831882388396205266683335311652528815963432941594672757919567 (pp86) Version: Msieve v. 1.53 (SVN unknown) Total time: 163.42 hours. Factorization parameters were as follows: n: 92116577936760869855275152851353944320342361948232837704687144420991063098869672504463017121093979346885924419575632653451328127045241744195488931272773490510216850767 m: 10000000000000000000000000000000000 deg: 6 c6: 118000 c0: -1 skew: 0.14 # Murphy_E = 6.397e-12 type: snfs lss: 1 rlim: 21000000 alim: 21000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 21000000/21000000 Large primes per side: 3 Large prime bits: 29/29 Sieved rational special-q in [0, 0) Total raw relations: 42368994 Relations: 6724830 relations Pruned matrix : 4053810 x 4054038 Total sieving time: 148.68 hours. Total relation processing time: 0.36 hours. Matrix solve time: 12.00 hours. time per square root: 2.38 hours. Prototype def-par.txt line would be: snfs,210,6,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000 total time: 163.42 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel processors: 8, speed: 3.39GHz Windows-7-6.1.7601-SP1 Running Python 3.2

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:48:03 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 3 秒 (日本時間)
45	11e6	585 / 4409	Cyp	July 31, 2015 16:30:32 UTC 2015 年 8 月 1 日 (土) 1 時 30 分 32 秒 (日本時間)

118×10²⁰⁸-19

c177

composite cofactor 合成数の残り	244717752765285890571439294379080537711958701132028532643569171065818489365528371944800126663273612467521763696780014047107904430399407640541618354895741680970572114926240711831<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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:48:04 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 4 秒 (日本時間)
45	11e6	4587	585	Cyp	June 28, 2015 06:50:34 UTC 2015 年 6 月 28 日 (日) 15 時 50 分 34 秒 (日本時間)
45	11e6	4587	4002	Thomas Kozlowski	November 12, 2024 17:12:54 UTC 2024 年 11 月 13 日 (水) 2 時 12 分 54 秒 (日本時間)

118×10²¹⁰-19

c189

name 名前	Cyp
date 日付	July 31, 2015 15:49:14 UTC 2015 年 8 月 1 日 (土) 0 時 49 分 14 秒 (日本時間)
composite number 合成数	185878603536346489496306721590977197576878274062681483872317430593477574433619419126066084173050082543380502303185968469735447548763508208680801345960634259829930166146031625481300369290559<189>
prime factors 素因数	77078449995824012244206421508241703611<38>
composite cofactor 合成数の残り	2411550875068415314826202572044210571679109270544791247866848037546209636050554860839244627237576557961477224858465567692937907401947323596514884827469<151>
factorization results 素因数分解の結果	Run 142 out of 591: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=324133171 Step 1 took 59628ms Step 2 took 19549ms ********** Factor found in step 2: 77078449995824012244206421508241703611 Found probable prime factor of 38 digits: 77078449995824012244206421508241703611 Composite cofactor 2411550875068415314826202572044210571679109270544791247866848037546209636050554860839244627237576557961477224858465567692937907401947323596514884827469 has 151 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c151

name 名前	Bob Backstrom
date 日付	June 17, 2022 13:33:33 UTC 2022 年 6 月 17 日 (金) 22 時 33 分 33 秒 (日本時間)
composite number 合成数	2411550875068415314826202572044210571679109270544791247866848037546209636050554860839244627237576557961477224858465567692937907401947323596514884827469<151>
prime factors 素因数	6105688840064035143165572972446197696544291<43> 394967863289136020098050442659844968547996613458771792035339067022203208220840203599229464550323866681297359<108>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM] Input number is 2411550875068415314826202572044210571679109270544791247866848037546209636050554860839244627237576557961477224858465567692937907401947323596514884827469 (151 digits) Using B1=44900000, B2=240492732496, polynomial Dickson(12), sigma=1:2579841993 Step 1 took 74789ms Step 2 took 23876ms ********** Factor found in step 2: 6105688840064035143165572972446197696544291 Found prime factor of 43 digits: 6105688840064035143165572972446197696544291 Prime cofactor 394967863289136020098050442659844968547996613458771792035339067022203208220840203599229464550323866681297359 has 108 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 10, 2014 08:12:04 UTC 2014 年 12 月 10 日 (水) 17 時 12 分 4 秒 (日本時間)
45	11e6	591 / 4413	Cyp	July 31, 2015 15:49:14 UTC 2015 年 8 月 1 日 (土) 0 時 49 分 14 秒 (日本時間)

118×10²¹¹-19

c173

composite cofactor 合成数の残り	28671485072630432177317468999432442367224138050599164201100978383030853939641583858934166196664065685836416247128288690311973172556154103972848816039265807206572057405069789<173>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 9, 2014 11:09:21 UTC 2014 年 12 月 9 日 (火) 20 時 9 分 21 秒 (日本時間)
45	11e6	4595	335	Cyp	December 29, 2014 08:49:21 UTC 2014 年 12 月 29 日 (月) 17 時 49 分 21 秒 (日本時間)
			256	Cyp	July 31, 2015 10:16:20 UTC 2015 年 7 月 31 日 (金) 19 時 16 分 20 秒 (日本時間)
			4004	Thomas Kozlowski	November 12, 2024 18:14:01 UTC 2024 年 11 月 13 日 (水) 3 時 14 分 1 秒 (日本時間)

118×10²¹²-19

c187

composite cofactor 合成数の残り	4017582837030463771901604346525234255674808805735462519165804045440439405302218600318586644117445095133234362352014104519339423530073396296574473337781031261327742057993186451262127252809<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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 7, 2014 15:39:56 UTC 2014 年 12 月 8 日 (月) 0 時 39 分 56 秒 (日本時間)
45	11e6	4593	335	Cyp	January 7, 2015 23:39:17 UTC 2015 年 1 月 8 日 (木) 8 時 39 分 17 秒 (日本時間)
			256	Cyp	July 31, 2015 11:05:00 UTC 2015 年 7 月 31 日 (金) 20 時 5 分 0 秒 (日本時間)
			4002	Thomas Kozlowski	November 12, 2024 19:23:17 UTC 2024 年 11 月 13 日 (水) 4 時 23 分 17 秒 (日本時間)

118×10²¹³-19

c187

composite cofactor 合成数の残り	2230216883218745941457593262676879996390603707636149392582246033568361771580644519164320959365627476077674232442785023178146944792279918897255628129520448821487504489432457709230823179477<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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:48:04 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 4 秒 (日本時間)
45	11e6	4585	585	Cyp	May 31, 2015 20:50:33 UTC 2015 年 6 月 1 日 (月) 5 時 50 分 33 秒 (日本時間)
45	11e6	4585	4000	Thomas Kozlowski	November 12, 2024 20:32:40 UTC 2024 年 11 月 13 日 (水) 5 時 32 分 40 秒 (日本時間)

118×10²¹⁵-19

c188

composite cofactor 合成数の残り	10766802052170830952738304020401340155046135589064391365469344618758163195988537913798796026845085555317509157341654221797507254665407309129650183262465218839188186834190785319817733063667<188>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:48:05 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 5 秒 (日本時間)
45	11e6	4588	585	Cyp	July 1, 2015 05:25:15 UTC 2015 年 7 月 1 日 (水) 14 時 25 分 15 秒 (日本時間)
45	11e6	4588	4003	Thomas Kozlowski	November 12, 2024 21:42:15 UTC 2024 年 11 月 13 日 (水) 6 時 42 分 15 秒 (日本時間)

118×10²¹⁸-19

c196

name 名前	Erik Branger
date 日付	November 19, 2019 14:03:57 UTC 2019 年 11 月 19 日 (火) 23 時 3 分 57 秒 (日本時間)
composite number 合成数	1494534283229396190102990505609818328597600606334088302325225754458775530595032705917968079893867797547000074213472701940445585636575757216436435841928955584927922496614291209905879008332196997309<196>
prime factors 素因数	665733138368618396306190414151497263249484469138021083673365041515392331<72> 2244945004377817471350879052533963797945012407914320030968319625872245148613689902694277913859357224379703578816440481244439<124>
factorization results 素因数分解の結果	Number: 13111_218 N = 1494534283229396190102990505609818328597600606334088302325225754458775530595032705917968079893867797547000074213472701940445585636575757216436435841928955584927922496614291209905879008332196997309 (196 digits) SNFS difficulty: 222 digits. Divisors found: r1=665733138368618396306190414151497263249484469138021083673365041515392331 (pp72) r2=2244945004377817471350879052533963797945012407914320030968319625872245148613689902694277913859357224379703578816440481244439 (pp124) Version: Msieve v. 1.52 (SVN unknown) Total time: 82.46 hours. Factorization parameters were as follows: n: 1494534283229396190102990505609818328597600606334088302325225754458775530595032705917968079893867797547000074213472701940445585636575757216436435841928955584927922496614291209905879008332196997309 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 59 c0: -50 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Relations: 7410528 relations Pruned matrix : 6780884 x 6781109 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 39.45 hours. Total relation processing time: 0.44 hours. Matrix solve time: 42.36 hours. time per square root: 0.20 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 82.46 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.17763-SP0 processors: 8, speed: 3.50GHz
software ソフトウェア	GGNFS, NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 8, 2014 08:13:00 UTC 2014 年 12 月 8 日 (月) 17 時 13 分 0 秒 (日本時間)
45	11e6	591 / 4413	Cyp	June 2, 2015 09:33:06 UTC 2015 年 6 月 2 日 (火) 18 時 33 分 6 秒 (日本時間)

118×10²¹⁹-19

c192

name 名前	Cyp
date 日付	December 9, 2014 07:01:33 UTC 2014 年 12 月 9 日 (火) 16 時 1 分 33 秒 (日本時間)
composite number 合成数	326899427787986388837949224889106583348923999346619117875414660873249031647512384850941201373669631476104790863737997225908117673698377074147451228812490284656928709307480391953276105481218549<192>
prime factors 素因数	311411180985645237917513128613<30> 1049735679860046819487312506954156551510340964904837047372974334886497147569546350358612445375067175958810505965967782518216216220362081983488500631378248259174673<163>
factorization results 素因数分解の結果	Run 139 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3685069719 Step 1 took 15724ms Step 2 took 5786ms ********** Factor found in step 2: 311411180985645237917513128613 Found probable prime factor of 30 digits: 311411180985645237917513128613 Probable prime cofactor 1049735679860046819487312506954156551510340964904837047372974334886497147569546350358612445375067175958810505965967782518216216220362081983488500631378248259174673 has 163 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 / 514	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	139 / 2318	Cyp	December 9, 2014 07:01:33 UTC 2014 年 12 月 9 日 (火) 16 時 1 分 33 秒 (日本時間)

118×10²²¹-19

c211

name 名前	Erik Branger
date 日付	January 15, 2020 07:45:59 UTC 2020 年 1 月 15 日 (水) 16 時 45 分 59 秒 (日本時間)
composite number 合成数	3890267025729850689826525668210346588967937297866239886692087039540574385162890613849935143538346035998514290906618406820028036162574810604233936685890063589537493565024637616760678150609288799171726265080334871<211>
prime factors 素因数	24749232536835356192538248495475228579795457<44> 157187380252692585487111224309137278382442950898899578419516885470991987928735885889622784607239226482256537841572418029081078975356957557767002735994185856321069460503<168>
factorization results 素因数分解の結果	Number: 13111_221 N = 3890267025729850689826525668210346588967937297866239886692087039540574385162890613849935143538346035998514290906618406820028036162574810604233936685890063589537493565024637616760678150609288799171726265080334871 (211 digits) SNFS difficulty: 224 digits. Divisors found: r1=24749232536835356192538248495475228579795457 (pp44) r2=157187380252692585487111224309137278382442950898899578419516885470991987928735885889622784607239226482256537841572418029081078975356957557767002735994185856321069460503 (pp168) Version: Msieve v. 1.52 (SVN unknown) Total time: 71.10 hours. Factorization parameters were as follows: n: 3890267025729850689826525668210346588967937297866239886692087039540574385162890613849935143538346035998514290906618406820028036162574810604233936685890063589537493565024637616760678150609288799171726265080334871 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 1180 c0: -1 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 22369622 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: 536870912/22369622 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 34365063 Relations: 8858684 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 34.35 hours. Total relation processing time: 0.38 hours. Pruned matrix : 7508680 x 7508906 Matrix solve time: 36.13 hours. time per square root: 0.24 hours. Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000 total time: 71.10 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 8, 2014 07:36:37 UTC 2014 年 12 月 8 日 (月) 16 時 36 分 37 秒 (日本時間)
45	11e6	591 / 4413	Cyp	June 29, 2015 08:18:35 UTC 2015 年 6 月 29 日 (月) 17 時 18 分 35 秒 (日本時間)

118×10²²⁴-19

c195

composite cofactor 合成数の残り	162397418761705545875145593630896158478648938588723163165413552888387549692279218189379052760457870659265038226645845531414076316417338198082136254133993200371936344846338279335797744739847113647<195>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 8, 2014 14:22:48 UTC 2014 年 12 月 8 日 (月) 23 時 22 分 48 秒 (日本時間)
45	11e6	4594	591	Cyp	January 30, 2015 18:30:20 UTC 2015 年 1 月 31 日 (土) 3 時 30 分 20 秒 (日本時間)
45	11e6	4594	4003	Thomas Kozlowski	November 12, 2024 23:01:35 UTC 2024 年 11 月 13 日 (水) 8 時 1 分 35 秒 (日本時間)

118×10²²⁶-19

c184

composite cofactor 合成数の残り	1174027937795072382450295430163191085812056233194720202002064310538787928924413165124517251055380209840197333500479111416545316138652710830073462618022125839756072833494681251782823703<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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	580	280	Cyp	December 10, 2014 14:08:58 UTC 2014 年 12 月 10 日 (水) 23 時 8 分 58 秒 (日本時間)
40	3e6	580	300	Serge Batalov	December 10, 2014 19:48:05 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 5 秒 (日本時間)
45	11e6	4505	504	Cyp	July 31, 2015 16:33:04 UTC 2015 年 8 月 1 日 (土) 1 時 33 分 4 秒 (日本時間)
45	11e6	4505	4001	Thomas Kozlowski	November 13, 2024 00:11:14 UTC 2024 年 11 月 13 日 (水) 9 時 11 分 14 秒 (日本時間)

118×10²²⁷-19

c178

composite cofactor 合成数の残り	7381835588347804785114483976371842921880052844934345246487982073373130482463042807514483992752504652626901196457310599319030554890828642835554279149034977075422858115926005868331<178>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	580	280	Cyp	December 10, 2014 18:52:31 UTC 2014 年 12 月 11 日 (木) 3 時 52 分 31 秒 (日本時間)
40	3e6	580	300	Serge Batalov	December 10, 2014 19:48:06 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 6 秒 (日本時間)
45	11e6	4504	504	Cyp	June 16, 2015 20:36:04 UTC 2015 年 6 月 17 日 (水) 5 時 36 分 4 秒 (日本時間)
45	11e6	4504	4000	Thomas Kozlowski	November 13, 2024 01:20:23 UTC 2024 年 11 月 13 日 (水) 10 時 20 分 23 秒 (日本時間)

118×10²²⁹-19

c204

name 名前	Cyp
date 日付	February 9, 2015 07:41:00 UTC 2015 年 2 月 9 日 (月) 16 時 41 分 0 秒 (日本時間)
composite number 合成数	130265241540542025871385632977125230206071944067665081935430522454338706375000065581489778978646438049826541541974281031955476038674881487938591362479394275215551730711193515037074253900636054426437597321<204>
prime factors 素因数	77387697861820257428096426748016901<35> 1683281001240498991182989871680486141406426252184495540922934640369788715784762063209763999848866274753661286649263212971009313555287092741718546572325759638045596682421<169>
factorization results 素因数分解の結果	Run 46 out of 591: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3064314716 Step 1 took 69324ms Step 2 took 21491ms ********** Factor found in step 2: 77387697861820257428096426748016901 Found probable prime factor of 35 digits: 77387697861820257428096426748016901 Probable prime cofactor 1683281001240498991182989871680486141406426252184495540922934640369788715784762063209763999848866274753661286649263212971009313555287092741718546572325759638045596682421 has 169 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280 / 2160	Cyp	December 7, 2014 21:22:27 UTC 2014 年 12 月 8 日 (月) 6 時 22 分 27 秒 (日本時間)
45	11e6	46 / 4413	Cyp	February 9, 2015 07:40:59 UTC 2015 年 2 月 9 日 (月) 16 時 40 分 59 秒 (日本時間)

118×10²³⁰-19

c199

name 名前	Cyp
date 日付	December 10, 2014 07:15:06 UTC 2014 年 12 月 10 日 (水) 16 時 15 分 6 秒 (日本時間)
composite number 合成数	7550157973782994765468264991654859439421583592445902171138915054810888133087815249500381398443802076693695086282201193130085812768586680772139346431725722299009864610870853416686463824602400812738243<199>
prime factors 素因数	764738647536611683653575665939969<33> 9872860483910004980721814406886458759157778860197520219202710315874330706170874329226585927255223654233246231098909908382469303556604573364551279787251159465716401347<166>
factorization results 素因数分解の結果	Input number is 7550157973782994765468264991654859439421583592445902171138915054810888133087815249500381398443802076693695086282201193130085812768586680772139346431725722299009864610870853416686463824602400812738243 (199 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=56559465 Step 1 took 18749ms Step 2 took 6166ms ********** Factor found in step 2: 764738647536611683653575665939969 Found probable prime factor of 33 digits: 764738647536611683653575665939969 Probable prime cofactor 9872860483910004980721814406886458759157778860197520219202710315874330706170874329226585927255223654233246231098909908382469303556604573364551279787251159465716401347 has 166 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	1 / 2318	Cyp	December 10, 2014 07:15:05 UTC 2014 年 12 月 10 日 (水) 16 時 15 分 5 秒 (日本時間)

118×10²³²-19

c202

composite cofactor 合成数の残り

1768683503513342918259395190895056258389111633276176588319482294587695031349373787796106238401750787189177947947071970311627786470198969702930271473510088663134805290697901600463591830401926203974519679<202>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 8, 2014 17:22:02 UTC 2014 年 12 月 9 日 (火) 2 時 22 分 2 秒 (日本時間)
45	11e6	4592	591	Cyp	June 7, 2015 09:28:21 UTC 2015 年 6 月 7 日 (日) 18 時 28 分 21 秒 (日本時間)
45	11e6	4592	4001	Thomas Kozlowski	November 13, 2024 02:39:49 UTC 2024 年 11 月 13 日 (水) 11 時 39 分 49 秒 (日本時間)

118×10²³³-19

c208

name 名前	Cyp
date 日付	July 31, 2015 13:49:26 UTC 2015 年 7 月 31 日 (金) 22 時 49 分 26 秒 (日本時間)
composite number 合成数	1065110697363407265520317785581047535244879338506233141370617738127120293346599682341627610835193543638811061393786755433614915174866952980290886086610614759212157984647057009895376332299392421451104074514131<208>
prime factors 素因数	1587211489927802550553122703164562262271769<43> 671057829484245939550524446471452611464341470658127027387177212567719548810338985938139633723678139245984463039652946852158669200637805279362294273371865492329361099<165>
factorization results 素因数分解の結果	Run 330 out of 591: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3677027276 Step 1 took 69262ms Step 2 took 21662ms ********** Factor found in step 2: 1587211489927802550553122703164562262271769 Found probable prime factor of 43 digits: 1587211489927802550553122703164562262271769 Probable prime cofactor 671057829484245939550524446471452611464341470658127027387177212567719548810338985938139633723678139245984463039652946852158669200637805279362294273371865492329361099 has 165 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280 / 1180	Cyp	December 7, 2014 08:35:07 UTC 2014 年 12 月 7 日 (日) 17 時 35 分 7 秒 (日本時間)
45	11e6	330 / 4413	Cyp	July 31, 2015 13:49:25 UTC 2015 年 7 月 31 日 (金) 22 時 49 分 25 秒 (日本時間)

118×10²³⁴-19

c197

composite cofactor 合成数の残り

20810726569961019365431395437333882546572938689322603119951947183165093760651714922281423660113490984930862955332096536224966490520661604950124509072112939862926857717614169194569580641523447607939<197>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:48:06 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 6 秒 (日本時間)
45	11e6	4587	585	Cyp	June 19, 2015 21:13:43 UTC 2015 年 6 月 20 日 (土) 6 時 13 分 43 秒 (日本時間)
45	11e6	4587	4002	Thomas Kozlowski	November 13, 2024 03:58:39 UTC 2024 年 11 月 13 日 (水) 12 時 58 分 39 秒 (日本時間)

118×10²³⁵-19

c132

name 名前	Erik Branger
date 日付	March 6, 2015 15:17:28 UTC 2015 年 3 月 7 日 (土) 0 時 17 分 28 秒 (日本時間)
composite number 合成数	318956860450135816152897442555525448689735246927118552099669461330759619632118386426953929496597594558257574542590441535956488936851<132>
prime factors 素因数	812405495396929125702996375933349175462722540132901<51> 392607955334298032656725779779783638758032678740548608002794885570654032873348951<81>
factorization results 素因数分解の結果	Number: 13111_235 N = 318956860450135816152897442555525448689735246927118552099669461330759619632118386426953929496597594558257574542590441535956488936851 (132 digits) Divisors found: r1=812405495396929125702996375933349175462722540132901 (pp51) r2=392607955334298032656725779779783638758032678740548608002794885570654032873348951 (pp81) Version: Msieve v. 1.52 (SVN 958) Total time: 61.81 hours. Factorization parameters were as follows: # Murphy_E = 6.74e-11, selected by Erik Branger # expecting poly E from 6.74e-011 to > 7.75e-011 n: 318956860450135816152897442555525448689735246927118552099669461330759619632118386426953929496597594558257574542590441535956488936851 Y0: -31779513649806234213015408 Y1: 50378559861839 c0: 29906421533648482773596093646445 c1: 621805696885696842681514317 c2: -1509680940640738032479 c3: -16691284310472345 c4: 8815298566 c5: 9840 skew: 452476.63 type: gnfs # selected mechanically rlim: 10700000 alim: 10700000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 10700000/10700000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 19662796 Relations: 2682040 relations Pruned matrix : 1574407 x 1574636 Polynomial selection time: 0.00 hours. Total sieving time: 60.47 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.98 hours. time per square root: 0.27 hours. Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10700000,10700000,28,28,54,54,2.6,2.6,100000 total time: 61.81 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 9, 2014 00:57:24 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 24 秒 (日本時間)

118×10²³⁶-19

c219

composite cofactor 合成数の残り

590135757261268099629617928588396938556678050386772375629282347632080342376438583690244732919345220756161781938222782087295953855929531794574178104569962688073941665010010538058979006466199414748600962239554456776985751<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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 8, 2014 12:20:21 UTC 2014 年 12 月 8 日 (月) 21 時 20 分 21 秒 (日本時間)
45	11e6	4592	591	Cyp	June 5, 2015 06:39:46 UTC 2015 年 6 月 5 日 (金) 15 時 39 分 46 秒 (日本時間)
45	11e6	4592	4001	Thomas Kozlowski	November 13, 2024 05:28:26 UTC 2024 年 11 月 13 日 (水) 14 時 28 分 26 秒 (日本時間)

118×10²⁴⁰-19

c216

name 名前	Cyp
date 日付	December 8, 2014 18:12:29 UTC 2014 年 12 月 9 日 (火) 3 時 12 分 29 秒 (日本時間)
composite number 合成数	209241861353756874917007699082932382198790853029977815151623726722068144948706300584425858964321626009002043847569667878829713042950576710297504851704070601912479841967390454632022570399802384772385588581411961075659<216>
prime factors 素因数	353263403822346327579344198471<30> 592311173729682823714949312018360966032820151203282671362881437241580570608496502623105343769557850778683962500733240779837910958568031596481533602638345657526155327136990012748366920029<186>
factorization results 素因数分解の結果	Run 48 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=266219196 Step 1 took 21871ms Step 2 took 6873ms ********** Factor found in step 2: 353263403822346327579344198471 Found probable prime factor of 30 digits: 353263403822346327579344198471 Probable prime cofactor 592311173729682823714949312018360966032820151203282671362881437241580570608496502623105343769557850778683962500733240779837910958568031596481533602638345657526155327136990012748366920029 has 186 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 / 770	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	48 / 2318	Cyp	December 8, 2014 18:12:29 UTC 2014 年 12 月 9 日 (火) 3 時 12 分 29 秒 (日本時間)

118×10²⁴¹-19

c237

name 名前	Serge Batalov
date 日付	December 9, 2014 01:26:54 UTC 2014 年 12 月 9 日 (火) 10 時 26 分 54 秒 (日本時間)
composite number 合成数	141340944662983896594964884560981251123690455186116677908062985837038442461119561622675495444928716850607532490150752095529230205709766910815181502734528047613212599419280366173662264854484107348687032459427063700567052683160196665144257<237>
prime factors 素因数	25144699925319755821102413287731<32>
composite cofactor 合成数の残り	5621102859957336167513564108886560921490473505695266754346800313850795512594427013291992824202867518784242723210950709716577069392593439169368665727100443278247379459417245278250222492683208922161818373947<205>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1391627407 Step 1 took 20998ms Step 2 took 13093ms ********** Factor found in step 2: 25144699925319755821102413287731 Found probable prime factor of 32 digits: 25144699925319755821102413287731 Composite cofactor

c205

name 名前	Serge Batalov
date 日付	December 10, 2014 03:43:08 UTC 2014 年 12 月 10 日 (水) 12 時 43 分 8 秒 (日本時間)
composite number 合成数	5621102859957336167513564108886560921490473505695266754346800313850795512594427013291992824202867518784242723210950709716577069392593439169368665727100443278247379459417245278250222492683208922161818373947<205>
prime factors 素因数	12817974042490739602065001438339483533281<41>
composite cofactor 合成数の残り	438532863409127718736859581334588330557560879955930434426820786663404414661513964277186167283332357437076533063858462434072650001828219547737323489055844157858898587<165>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=198001830 Step 1 took 17520ms Step 2 took 13057ms ********** Factor found in step 2: 12817974042490739602065001438339483533281 Found probable prime factor of 41 digits: 12817974042490739602065001438339483533281

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 9, 2014 00:57:57 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 57 秒 (日本時間)
45	11e6	0		-	-
50	43e6	3042 / 7465	1250	Serge Batalov	February 5, 2015 03:33:03 UTC 2015 年 2 月 5 日 (木) 12 時 33 分 3 秒 (日本時間)
50	43e6	3042 / 7465	1792	Dmitry Domanov	September 26, 2024 06:02:11 UTC 2024 年 9 月 26 日 (木) 15 時 2 分 11 秒 (日本時間)

118×10²⁴³-19

c211

name 名前	Thomas Kozlowski
date 日付	November 13, 2024 14:24:51 UTC 2024 年 11 月 13 日 (水) 23 時 24 分 51 秒 (日本時間)
composite number 合成数	8695770857351382421460322226794098132860483797225659334315569804876966596989723783825491903730163030957363491538987865591599910801513079657559276768080417621628930281134988052080922242757019585879292277624925707<211>
prime factors 素因数	407980237311396597613443138511550139458267<42>
composite cofactor 合成数の残り	21314196282292502855449191811547749138093497715463202265582134322969694529307731177021895099740889268798252368648605914871669499683038346094417401539482323421337759666321<170>
factorization results 素因数分解の結果	GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 8695770857351382421460322226794098132860483797225659334315569804876966596989723783825491903730163030957363491538987865591599910801513079657559276768080417621628930281134988052080922242757019585879292277624925707 (211 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3555641834 Step 1 took 34536ms Step 2 took 14148ms Run 2 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:484775391 Step 1 took 33303ms Step 2 took 13840ms Run 3 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2405418151 Step 1 took 34939ms Step 2 took 13974ms ** Factor found in step 2: 407980237311396597613443138511550139458267 Found prime factor of 42 digits: 407980237311396597613443138511550139458267 Composite cofactor 21314196282292502855449191811547749138093497715463202265582134322969694529307731177021895099740889268798252368648605914871669499683038346094417401539482323421337759666321 has 170 digits
execution environment 実行環境	2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:48:06 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 6 秒 (日本時間)
45	11e6	585 / 4409	Cyp	June 22, 2015 13:17:52 UTC 2015 年 6 月 22 日 (月) 22 時 17 分 52 秒 (日本時間)

118×10²⁴⁴-19

c210

composite cofactor 合成数の残り

221038888331418540900968696575512833625612914717902859834166231874784239050696393795284233732846124047524872011334729502066816305607006883000123328873914846973422999616482962469187276957477396205083408390182733<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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:48:07 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 7 秒 (日本時間)
45	11e6	4587	585	Cyp	July 7, 2015 05:28:41 UTC 2015 年 7 月 7 日 (火) 14 時 28 分 41 秒 (日本時間)
45	11e6	4587	4002	Thomas Kozlowski	November 13, 2024 06:49:58 UTC 2024 年 11 月 13 日 (水) 15 時 49 分 58 秒 (日本時間)

118×10²⁴⁵-19

c207

composite cofactor 合成数の残り

755301104632037675243676353166001401908663771046459103662098150292683385456156346479181668690440450149902121616715176475987140844139969666974803247450122981085922984379700561250390627432804944208303544892353<207>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:48:07 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 7 秒 (日本時間)
45	11e6	4585	585	Cyp	July 31, 2015 07:40:01 UTC 2015 年 7 月 31 日 (金) 16 時 40 分 1 秒 (日本時間)
45	11e6	4585	4000	Thomas Kozlowski	November 13, 2024 08:08:58 UTC 2024 年 11 月 13 日 (水) 17 時 8 分 58 秒 (日本時間)

118×10²⁴⁶-19

c103

name 名前	Dmitry Domanov
date 日付	December 7, 2014 13:26:56 UTC 2014 年 12 月 7 日 (日) 22 時 26 分 56 秒 (日本時間)
composite number 合成数	1875393774108329709476115228852095545818916271397612313091644840947599639575124561972039644029798130289<103>
prime factors 素因数	112053609647760779710483239233614664357<39> 16736576179951794979371342448719505708987135948108713809865376477<65>
factorization results 素因数分解の結果	N=1875393774108329709476115228852095545818916271397612313091644840947599639575124561972039644029798130289 ( 103 digits) Divisors found: r1=112053609647760779710483239233614664357 (pp39) r2=16736576179951794979371342448719505708987135948108713809865376477 (pp65) Version: Msieve v. 1.50 (SVN unknown) Total time: 4.09 hours. Scaled time: 8.77 units (timescale=2.146). Factorization parameters were as follows: n: 1875393774108329709476115228852095545818916271397612313091644840947599639575124561972039644029798130289 skew: 2852340.00 c0: 8063962693932538219976886065 c1: 25057142375990843716062 c2: -31599113143151525 c3: -8173041810 c4: 1224 Y0: -6256462543875582679293288 Y1: 9370632119515 rlim: 2220000 alim: 2220000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 2220000/2220000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [1110000, 1610001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 286295 x 286535 Total sieving time: 3.94 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.07 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000 total time: 4.09 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

118×10²⁴⁷-19

c196

composite cofactor 合成数の残り

2168881525888487941822710201032903792219862444583843013642287004628389850551213599125494693925745985132946655630172269432543037028781808281648522912060527522447315849339002871765287851210305495769<196>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:48:08 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 8 秒 (日本時間)
45	11e6	4589	329	Cyp	January 8, 2015 06:13:47 UTC 2015 年 1 月 8 日 (木) 15 時 13 分 47 秒 (日本時間)
			256	Cyp	January 26, 2015 13:56:25 UTC 2015 年 1 月 26 日 (月) 22 時 56 分 25 秒 (日本時間)
			4004	Thomas Kozlowski	November 13, 2024 09:27:38 UTC 2024 年 11 月 13 日 (水) 18 時 27 分 38 秒 (日本時間)

118×10²⁵⁰-19

c226

name 名前	Thomas Kozlowski
date 日付	November 13, 2024 14:25:51 UTC 2024 年 11 月 13 日 (水) 23 時 25 分 51 秒 (日本時間)
composite number 合成数	4101505911703479940606861091350246341878481307152488364758013648013089636759530075437203601960425850851611981722637699814234704617633525748655458023806489717448770027174646125197221514095296385753079743388996618786937350748467<226>
prime factors 素因数	202323927870679189203886540982429934016532347931257<51> 20271976502576938790748819574517816374635051804769193443495899068780376993188973898526951527227903406382883063819034397343126331554539738372106813205731659891072580222793643531<176>
factorization results 素因数分解の結果	GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 4101505911703479940606861091350246341878481307152488364758013648013089636759530075437203601960425850851611981722637699814234704617633525748655458023806489717448770027174646125197221514095296385753079743388996618786937350748467 (226 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:119709776 Step 1 took 40577ms Step 2 took 14625ms Run 2 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3586787747 Step 1 took 38438ms Step 2 took 14550ms Run 3 out of 0: ... Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2865963333 Step 1 took 37789ms Step 2 took 14532ms Run 92 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2703687811 Step 1 took 37571ms Step 2 took 14495ms ** Factor found in step 2: 202323927870679189203886540982429934016532347931257 Found prime factor of 51 digits: 202323927870679189203886540982429934016532347931257 Prime cofactor 20271976502576938790748819574517816374635051804769193443495899068780376993188973898526951527227903406382883063819034397343126331554539738372106813205731659891072580222793643531 has 176 digits
execution environment 実行環境	2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	1300	300	Serge Batalov	December 10, 2014 19:48:08 UTC 2014 年 12 月 11 日 (木) 4 時 48 分 8 秒 (日本時間)
40	3e6	1300	1000	Dmitry Domanov	December 17, 2014 13:30:43 UTC 2014 年 12 月 17 日 (水) 22 時 30 分 43 秒 (日本時間)
45	11e6	600 / 4188		Dmitry Domanov	April 27, 2015 14:05:16 UTC 2015 年 4 月 27 日 (月) 23 時 5 分 16 秒 (日本時間)

118×10²⁵¹-19

c252

composite cofactor 合成数の残り

437037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<252>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	904		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	November 14, 2015 01:04:44 UTC 2015 年 11 月 14 日 (土) 10 時 4 分 44 秒 (日本時間)
45	11e6	4320	800	Dmitry Domanov	February 4, 2016 17:57:18 UTC 2016 年 2 月 5 日 (金) 2 時 57 分 18 秒 (日本時間)
45	11e6	4320	3520	ebina	February 11, 2023 09:34:57 UTC 2023 年 2 月 11 日 (土) 18 時 34 分 57 秒 (日本時間)

118×10²⁵²-19

c224

name 名前	KTakahashi
date 日付	November 13, 2015 22:32:04 UTC 2015 年 11 月 14 日 (土) 7 時 32 分 4 秒 (日本時間)
composite number 合成数	17696420787025089040183832655666278452654712339687328763642888498581219665760844464777483903075221467343586529500231745285071074997851441478863944333144764389941478322663898161592776613089384130030041001185644165309908027249<224>
prime factors 素因数	12297750048425363928043647716323<32>
composite cofactor 合成数の残り	1438996622743278558485482127116612410393564382383721519235878289250605977409002574529602792220728714915361463399676533051990551797232273984732426375568577125014031781685524320686927020611774363<193>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM] Input number is 17696420787025089040183832655666278452654712339687328763642888498581219665760844464777483903075221467343586529500231745285071074997851441478863944333144764389941478322663898161592776613089384130030041001185644165309908027249 (224 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3114567638 Step 1 took 7129ms Step 2 took 3760ms ********** Factor found in step 2: 12297750048425363928043647716323 Found probable prime factor of 32 digits: 12297750048425363928043647716323 Composite cofactor 1438996622743278558485482127116612410393564382383721519235878289250605977409002574529602792220728714915361463399676533051990551797232273984732426375568577125014031781685524320686927020611774363 has 193 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	325		KTakahashi	November 13, 2015 22:31:18 UTC 2015 年 11 月 14 日 (土) 7 時 31 分 18 秒 (日本時間)
40	3e6	600		Dmitry Domanov	March 4, 2016 08:03:32 UTC 2016 年 3 月 4 日 (金) 17 時 3 分 32 秒 (日本時間)
45	11e6	4402	600	Dmitry Domanov	January 10, 2017 14:15:43 UTC 2017 年 1 月 10 日 (火) 23 時 15 分 43 秒 (日本時間)
45	11e6	4402	3802	Thomas Kozlowski	November 13, 2024 11:54:42 UTC 2024 年 11 月 13 日 (水) 20 時 54 分 42 秒 (日本時間)

118×10²⁵³-19

c255

name 名前	Dmitry Domanov
date 日付	February 8, 2016 06:32:21 UTC 2016 年 2 月 8 日 (月) 15 時 32 分 21 秒 (日本時間)
composite number 合成数	131111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<255>
prime factors 素因数	118267312139315569157707824446290051<36> 218496870518199607224086395593423104357<39>
composite cofactor 合成数の残り	5073755675231453042890173658192995517631469766198333254151671206165286628967544683203699507348965678920352491938097926077072246757767036181689461173730360679877827084934828415700073<181>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=441118244 Step 1 took 133971ms Step 2 took 38948ms ******** Factor found in step 2: 118267312139315569157707824446290051 Found probable prime factor of 36 digits: 118267312139315569157707824446290051 Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1200603316 Step 1 took 104774ms Step 2 took 31639ms ******** Factor found in step 2: 218496870518199607224086395593423104357 Found probable prime factor of 39 digits: 218496870518199607224086395593423104357

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	904		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	November 14, 2015 01:05:04 UTC 2015 年 11 月 14 日 (土) 10 時 5 分 4 秒 (日本時間)
45	11e6	4404	800	Dmitry Domanov	February 5, 2016 14:34:05 UTC 2016 年 2 月 5 日 (金) 23 時 34 分 5 秒 (日本時間)
45	11e6	4404	3604	Thomas Kozlowski	November 13, 2024 12:57:03 UTC 2024 年 11 月 13 日 (水) 21 時 57 分 3 秒 (日本時間)

118×10²⁵⁴-19

c251

composite cofactor 合成数の残り

13166542254000453018318230863044528576417830176152714037207755762872805622783027657549394060104149580846474769892357938030218330281596632935770705782455247703944718375471847589462749285603501853916097883199380503028862622752900823578376074384268883109<251>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	904		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	November 14, 2015 01:05:21 UTC 2015 年 11 月 14 日 (土) 10 時 5 分 21 秒 (日本時間)
45	11e6	4320	800	Dmitry Domanov	February 5, 2016 14:33:47 UTC 2016 年 2 月 5 日 (金) 23 時 33 分 47 秒 (日本時間)
45	11e6	4320	3520	ebina	February 11, 2023 22:29:11 UTC 2023 年 2 月 12 日 (日) 7 時 29 分 11 秒 (日本時間)

118×10²⁵⁵-19

c240

composite cofactor 合成数の残り

811432264974960164943561477358753297848113084073753003760347015018095402664361239967466411686977161554105281183229487242750198289475742595977891955102635090780140356418325111359324524768680367158281925810574601639928487588811367448543727449<240>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:05:45 UTC 2015 年 11 月 14 日 (土) 10 時 5 分 45 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 09:21:29 UTC 2021 年 12 月 24 日 (金) 18 時 21 分 29 秒 (日本時間)
45	11e6	4001		Thomas Kozlowski	November 13, 2024 14:39:22 UTC 2024 年 11 月 13 日 (水) 23 時 39 分 22 秒 (日本時間)

118×10²⁵⁶-19

c258

name 名前	NFS@Home / Sergey Batalov
date 日付	November 18, 2024 08:30:57 UTC 2024 年 11 月 18 日 (月) 17 時 30 分 57 秒 (日本時間)
composite number 合成数	131111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<258>
prime factors 素因数	2117018980410626017406424659617314919924715462674920490891953417225173<70> 33335829273493562801399628680505745970409119767722845399429098907224888235520158611600474247<92> 1857819353930924746271526922660468916375911670167038260267556501700671084282064024529390083505981<97>
factorization results 素因数分解の結果	Found 339337222 unique, 62119050 duplicate, and 4 bad relations. Largest dimension used: 1186 of 1800 Average dimension used: 1035.6 of 1800 Sun Nov 17 13:44:03 2024 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5) Sun Nov 17 13:44:03 2024 random seeds: 7f350b9a f2a3a1ae Sun Nov 17 13:44:03 2024 factoring 131111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (258 digits) Sun Nov 17 13:44:05 2024 no P-1/P+1/ECM available, skipping Sun Nov 17 13:44:05 2024 commencing number field sieve (258-digit input) Sun Nov 17 13:44:05 2024 R0: 10000000000000000000000000000000000000000000 Sun Nov 17 13:44:05 2024 R1: -1 Sun Nov 17 13:44:05 2024 A0: -50 Sun Nov 17 13:44:05 2024 A1: 0 Sun Nov 17 13:44:05 2024 A2: 0 Sun Nov 17 13:44:05 2024 A3: 0 Sun Nov 17 13:44:05 2024 A4: 0 Sun Nov 17 13:44:05 2024 A5: 0 Sun Nov 17 13:44:05 2024 A6: 59 Sun Nov 17 13:44:05 2024 skew 1.00, size 6.887e-13, alpha 0.175, combined = 8.877e-14 rroots = 2 Sun Nov 17 13:44:05 2024 Sun Nov 17 13:44:05 2024 commencing relation filtering Sun Nov 17 13:44:05 2024 setting target matrix density to 125.0 Sun Nov 17 13:44:05 2024 estimated available RAM is 1031034.1 MB Sun Nov 17 13:44:05 2024 commencing duplicate removal, pass 1 Sun Nov 17 14:47:53 2024 skipped 1052 relations with b > 2^32 Sun Nov 17 14:47:53 2024 skipped 1 relations with composite factors Sun Nov 17 14:47:53 2024 found 12725574 hash collisions in 339336167 relations Sun Nov 17 14:48:11 2024 added 1218984 free relations Sun Nov 17 14:48:11 2024 commencing duplicate removal, pass 2 Sun Nov 17 14:55:04 2024 found 0 duplicates and 340555151 unique relations Sun Nov 17 14:55:04 2024 memory use: 1044.8 MB Sun Nov 17 14:55:04 2024 reading ideals above 720000 Sun Nov 17 14:55:04 2024 commencing singleton removal, initial pass Sun Nov 17 16:22:25 2024 memory use: 6024.0 MB Sun Nov 17 16:22:25 2024 reading all ideals from disk Sun Nov 17 16:22:31 2024 memory use: 16628.6 MB Sun Nov 17 16:23:00 2024 keeping 310759396 ideals with weight <= 200, target excess is 1803557 Sun Nov 17 16:23:40 2024 commencing in-memory singleton removal Sun Nov 17 16:24:20 2024 begin with 340555151 relations and 310759396 unique ideals Sun Nov 17 16:27:12 2024 reduce to 204241140 relations and 159533867 ideals in 13 passes Sun Nov 17 16:27:12 2024 max relations containing the same ideal: 154 Sun Nov 17 16:28:22 2024 removing 12183911 relations and 10183911 ideals in 2000000 cliques Sun Nov 17 16:28:29 2024 commencing in-memory singleton removal Sun Nov 17 16:28:46 2024 begin with 192057229 relations and 159533867 unique ideals Sun Nov 17 16:30:11 2024 reduce to 191559606 relations and 148846064 ideals in 9 passes Sun Nov 17 16:30:11 2024 max relations containing the same ideal: 147 Sun Nov 17 16:31:25 2024 removing 9186211 relations and 7186211 ideals in 2000000 cliques Sun Nov 17 16:31:34 2024 commencing in-memory singleton removal Sun Nov 17 16:31:53 2024 begin with 182373395 relations and 148846064 unique ideals Sun Nov 17 16:33:00 2024 reduce to 182046316 relations and 141329077 ideals in 7 passes Sun Nov 17 16:33:00 2024 max relations containing the same ideal: 142 Sun Nov 17 16:34:18 2024 removing 8250091 relations and 6250091 ideals in 2000000 cliques Sun Nov 17 16:34:26 2024 commencing in-memory singleton removal Sun Nov 17 16:34:45 2024 begin with 173796225 relations and 141329077 unique ideals Sun Nov 17 16:35:51 2024 reduce to 173511867 relations and 134791554 ideals in 6 passes Sun Nov 17 16:35:51 2024 max relations containing the same ideal: 141 Sun Nov 17 16:37:05 2024 removing 7732937 relations and 5732937 ideals in 2000000 cliques Sun Nov 17 16:37:13 2024 commencing in-memory singleton removal Sun Nov 17 16:37:31 2024 begin with 165778930 relations and 134791554 unique ideals Sun Nov 17 16:38:44 2024 reduce to 165516782 relations and 128793651 ideals in 7 passes Sun Nov 17 16:38:44 2024 max relations containing the same ideal: 137 Sun Nov 17 16:39:55 2024 removing 7405308 relations and 5405308 ideals in 2000000 cliques Sun Nov 17 16:40:02 2024 commencing in-memory singleton removal Sun Nov 17 16:40:19 2024 begin with 158111474 relations and 128793651 unique ideals Sun Nov 17 16:41:14 2024 reduce to 157860220 relations and 123134208 ideals in 7 passes Sun Nov 17 16:41:14 2024 max relations containing the same ideal: 134 Sun Nov 17 16:42:18 2024 removing 7173494 relations and 5173494 ideals in 2000000 cliques Sun Nov 17 16:42:24 2024 commencing in-memory singleton removal Sun Nov 17 16:42:36 2024 begin with 150686726 relations and 123134208 unique ideals Sun Nov 17 16:43:29 2024 reduce to 150443974 relations and 117715101 ideals in 6 passes Sun Nov 17 16:43:29 2024 max relations containing the same ideal: 129 Sun Nov 17 16:44:36 2024 removing 7003091 relations and 5003091 ideals in 2000000 cliques Sun Nov 17 16:44:42 2024 commencing in-memory singleton removal Sun Nov 17 16:45:00 2024 begin with 143440883 relations and 117715101 unique ideals Sun Nov 17 16:46:05 2024 reduce to 143201244 relations and 112469601 ideals in 7 passes Sun Nov 17 16:46:05 2024 max relations containing the same ideal: 122 Sun Nov 17 16:47:10 2024 removing 6866633 relations and 4866633 ideals in 2000000 cliques Sun Nov 17 16:47:17 2024 commencing in-memory singleton removal Sun Nov 17 16:47:33 2024 begin with 136334611 relations and 112469601 unique ideals Sun Nov 17 16:48:26 2024 reduce to 136094651 relations and 107359951 ideals in 6 passes Sun Nov 17 16:48:26 2024 max relations containing the same ideal: 121 Sun Nov 17 16:49:28 2024 removing 6765621 relations and 4765621 ideals in 2000000 cliques Sun Nov 17 16:49:34 2024 commencing in-memory singleton removal Sun Nov 17 16:49:50 2024 begin with 129329030 relations and 107359951 unique ideals Sun Nov 17 16:50:36 2024 reduce to 129087992 relations and 102350038 ideals in 7 passes Sun Nov 17 16:50:36 2024 max relations containing the same ideal: 115 Sun Nov 17 16:51:23 2024 removing 6684780 relations and 4684780 ideals in 2000000 cliques Sun Nov 17 16:51:28 2024 commencing in-memory singleton removal Sun Nov 17 16:51:38 2024 begin with 122403212 relations and 102350038 unique ideals Sun Nov 17 16:52:25 2024 reduce to 122158583 relations and 97417261 ideals in 7 passes Sun Nov 17 16:52:25 2024 max relations containing the same ideal: 109 Sun Nov 17 16:53:14 2024 removing 6620288 relations and 4620288 ideals in 2000000 cliques Sun Nov 17 16:53:19 2024 commencing in-memory singleton removal Sun Nov 17 16:53:30 2024 begin with 115538295 relations and 97417261 unique ideals Sun Nov 17 16:54:12 2024 reduce to 115288848 relations and 92543833 ideals in 7 passes Sun Nov 17 16:54:12 2024 max relations containing the same ideal: 104 Sun Nov 17 16:54:55 2024 removing 6571871 relations and 4571871 ideals in 2000000 cliques Sun Nov 17 16:54:59 2024 commencing in-memory singleton removal Sun Nov 17 16:55:08 2024 begin with 108716977 relations and 92543833 unique ideals Sun Nov 17 16:55:48 2024 reduce to 108459930 relations and 87710939 ideals in 7 passes Sun Nov 17 16:55:48 2024 max relations containing the same ideal: 99 Sun Nov 17 16:56:28 2024 removing 6535825 relations and 4535825 ideals in 2000000 cliques Sun Nov 17 16:56:32 2024 commencing in-memory singleton removal Sun Nov 17 16:56:41 2024 begin with 101924105 relations and 87710939 unique ideals Sun Nov 17 16:57:12 2024 reduce to 101658143 relations and 82904653 ideals in 6 passes Sun Nov 17 16:57:12 2024 max relations containing the same ideal: 96 Sun Nov 17 16:57:50 2024 removing 6506439 relations and 4506439 ideals in 2000000 cliques Sun Nov 17 16:57:53 2024 commencing in-memory singleton removal Sun Nov 17 16:58:02 2024 begin with 95151704 relations and 82904653 unique ideals Sun Nov 17 16:58:36 2024 reduce to 94873398 relations and 78115003 ideals in 7 passes Sun Nov 17 16:58:36 2024 max relations containing the same ideal: 89 Sun Nov 17 16:59:11 2024 removing 6489291 relations and 4489291 ideals in 2000000 cliques Sun Nov 17 16:59:14 2024 commencing in-memory singleton removal Sun Nov 17 16:59:22 2024 begin with 88384107 relations and 78115003 unique ideals Sun Nov 17 16:59:49 2024 reduce to 88092758 relations and 73328889 ideals in 6 passes Sun Nov 17 16:59:49 2024 max relations containing the same ideal: 84 Sun Nov 17 17:00:22 2024 removing 6478282 relations and 4478282 ideals in 2000000 cliques Sun Nov 17 17:00:25 2024 commencing in-memory singleton removal Sun Nov 17 17:00:32 2024 begin with 81614476 relations and 73328889 unique ideals Sun Nov 17 17:01:01 2024 reduce to 81304279 relations and 68534223 ideals in 7 passes Sun Nov 17 17:01:01 2024 max relations containing the same ideal: 81 Sun Nov 17 17:01:31 2024 removing 6476878 relations and 4476878 ideals in 2000000 cliques Sun Nov 17 17:01:35 2024 commencing in-memory singleton removal Sun Nov 17 17:01:41 2024 begin with 74827401 relations and 68534223 unique ideals Sun Nov 17 17:02:04 2024 reduce to 74496037 relations and 63718879 ideals in 6 passes Sun Nov 17 17:02:04 2024 max relations containing the same ideal: 79 Sun Nov 17 17:02:33 2024 removing 6482820 relations and 4482820 ideals in 2000000 cliques Sun Nov 17 17:02:36 2024 commencing in-memory singleton removal Sun Nov 17 17:02:42 2024 begin with 68013217 relations and 63718879 unique ideals Sun Nov 17 17:03:05 2024 reduce to 67654340 relations and 58868841 ideals in 7 passes Sun Nov 17 17:03:05 2024 max relations containing the same ideal: 75 Sun Nov 17 17:03:31 2024 removing 6501145 relations and 4501145 ideals in 2000000 cliques Sun Nov 17 17:03:34 2024 commencing in-memory singleton removal Sun Nov 17 17:03:39 2024 begin with 61153195 relations and 58868841 unique ideals Sun Nov 17 17:04:00 2024 reduce to 60758681 relations and 53963262 ideals in 7 passes Sun Nov 17 17:04:00 2024 max relations containing the same ideal: 67 Sun Nov 17 17:04:23 2024 removing 6527197 relations and 4527197 ideals in 2000000 cliques Sun Nov 17 17:04:26 2024 commencing in-memory singleton removal Sun Nov 17 17:04:31 2024 begin with 54231484 relations and 53963262 unique ideals Sun Nov 17 17:04:50 2024 reduce to 53789068 relations and 48981348 ideals in 7 passes Sun Nov 17 17:04:50 2024 max relations containing the same ideal: 61 Sun Nov 17 17:05:10 2024 removing 6573852 relations and 4573852 ideals in 2000000 cliques Sun Nov 17 17:05:13 2024 commencing in-memory singleton removal Sun Nov 17 17:05:17 2024 begin with 47215216 relations and 48981348 unique ideals Sun Nov 17 17:05:35 2024 reduce to 46705252 relations and 43881830 ideals in 8 passes Sun Nov 17 17:05:35 2024 max relations containing the same ideal: 57 Sun Nov 17 17:05:54 2024 removing 2906194 relations and 2174899 ideals in 731295 cliques Sun Nov 17 17:05:56 2024 commencing in-memory singleton removal Sun Nov 17 17:06:00 2024 begin with 43799058 relations and 43881830 unique ideals Sun Nov 17 17:06:14 2024 reduce to 43681241 relations and 41587554 ideals in 7 passes Sun Nov 17 17:06:14 2024 max relations containing the same ideal: 55 Sun Nov 17 17:06:38 2024 relations with 0 large ideals: 68840 Sun Nov 17 17:06:38 2024 relations with 1 large ideals: 56343 Sun Nov 17 17:06:38 2024 relations with 2 large ideals: 637616 Sun Nov 17 17:06:38 2024 relations with 3 large ideals: 3097131 Sun Nov 17 17:06:38 2024 relations with 4 large ideals: 7864338 Sun Nov 17 17:06:38 2024 relations with 5 large ideals: 11675432 Sun Nov 17 17:06:38 2024 relations with 6 large ideals: 10688953 Sun Nov 17 17:06:38 2024 relations with 7+ large ideals: 9592588 Sun Nov 17 17:06:38 2024 commencing 2-way merge Sun Nov 17 17:07:03 2024 reduce to 28400116 relation sets and 26306429 unique ideals Sun Nov 17 17:07:03 2024 commencing full merge Sun Nov 17 17:15:46 2024 memory use: 3500.3 MB Sun Nov 17 17:15:48 2024 found 13073642 cycles, need 12862629 Sun Nov 17 17:15:53 2024 weight of 12862629 cycles is about 1608140963 (125.02/cycle) Sun Nov 17 17:15:53 2024 distribution of cycle lengths: Sun Nov 17 17:15:53 2024 1 relations: 456448 Sun Nov 17 17:15:53 2024 2 relations: 698085 Sun Nov 17 17:15:53 2024 3 relations: 846535 Sun Nov 17 17:15:53 2024 4 relations: 903044 Sun Nov 17 17:15:53 2024 5 relations: 948004 Sun Nov 17 17:15:53 2024 6 relations: 961245 Sun Nov 17 17:15:53 2024 7 relations: 956525 Sun Nov 17 17:15:53 2024 8 relations: 932409 Sun Nov 17 17:15:53 2024 9 relations: 882246 Sun Nov 17 17:15:53 2024 10+ relations: 5278088 Sun Nov 17 17:15:53 2024 heaviest cycle: 28 relations Sun Nov 17 17:15:56 2024 commencing cycle optimization Sun Nov 17 17:16:20 2024 start with 114315623 relations Sun Nov 17 17:20:21 2024 pruned 5483601 relations Sun Nov 17 17:20:21 2024 memory use: 2978.8 MB Sun Nov 17 17:20:21 2024 distribution of cycle lengths: Sun Nov 17 17:20:21 2024 1 relations: 456448 Sun Nov 17 17:20:21 2024 2 relations: 715715 Sun Nov 17 17:20:21 2024 3 relations: 883549 Sun Nov 17 17:20:21 2024 4 relations: 943473 Sun Nov 17 17:20:21 2024 5 relations: 1000002 Sun Nov 17 17:20:21 2024 6 relations: 1014113 Sun Nov 17 17:20:21 2024 7 relations: 1014824 Sun Nov 17 17:20:21 2024 8 relations: 985870 Sun Nov 17 17:20:21 2024 9 relations: 933042 Sun Nov 17 17:20:21 2024 10+ relations: 4915593 Sun Nov 17 17:20:21 2024 heaviest cycle: 27 relations Sun Nov 17 17:20:59 2024 RelProcTime: 13014 Sun Nov 17 17:20:59 2024 Sun Nov 17 17:20:59 2024 commencing linear algebra Sun Nov 17 17:20:59 2024 using VBITS=256 Sun Nov 17 17:21:00 2024 read 12862629 cycles Sun Nov 17 17:21:30 2024 cycles contain 42710187 unique relations Sun Nov 17 17:30:39 2024 read 42710187 relations Sun Nov 17 17:32:03 2024 using 20 quadratic characters above 4294917295 Sun Nov 17 17:35:47 2024 building initial matrix Sun Nov 17 17:52:53 2024 memory use: 5539.5 MB Sun Nov 17 17:53:03 2024 read 12862629 cycles Sun Nov 17 17:53:05 2024 matrix is 12862452 x 12862629 (6246.8 MB) with weight 1780994260 (138.46/col) Sun Nov 17 17:53:05 2024 sparse part has weight 1496067601 (116.31/col) Sun Nov 17 17:55:37 2024 filtering completed in 2 passes Sun Nov 17 17:55:39 2024 matrix is 12861979 x 12862147 (6246.7 MB) with weight 1780971390 (138.47/col) Sun Nov 17 17:55:39 2024 sparse part has weight 1496055506 (116.31/col) Sun Nov 17 18:00:45 2024 matrix starts at (0, 0) Sun Nov 17 18:00:47 2024 matrix is 12861979 x 12862147 (6246.7 MB) with weight 1780971390 (138.47/col) Sun Nov 17 18:00:47 2024 sparse part has weight 1496055506 (116.31/col) Sun Nov 17 18:00:47 2024 saving the first 240 matrix rows for later Sun Nov 17 18:00:50 2024 matrix includes 256 packed rows Sun Nov 17 18:00:57 2024 matrix is 12861739 x 12862147 (5716.9 MB) with weight 1361059846 (105.82/col) Sun Nov 17 18:00:57 2024 sparse part has weight 1292859161 (100.52/col) Sun Nov 17 18:00:57 2024 using GPU 0 (NVIDIA L40S) Sun Nov 17 18:00:57 2024 selected card has CUDA arch 8.9 Sun Nov 17 18:03:33 2024 commencing Lanczos iteration Sun Nov 17 18:03:34 2024 memory use: 13102.0 MB Sun Nov 17 18:04:11 2024 linear algebra at 0.2%, ETA 4h11m Sun Nov 17 18:05:05 2024 checking every 20000 dimensions, checkpointing every 1540000 dimensions Sun Nov 17 22:16:03 2024 lanczos halted after 50393 iterations (dim = 12861739) Sun Nov 17 22:17:01 2024 recovered 36 nontrivial dependencies Sun Nov 17 22:17:02 2024 BLanczosTime: 17763 Sun Nov 17 22:17:02 2024 Sun Nov 17 22:17:02 2024 commencing square root phase Sun Nov 17 22:17:02 2024 handling dependencies 1 to 64 Sun Nov 17 22:17:02 2024 reading relations for dependency 1 Sun Nov 17 22:17:04 2024 read 6426647 cycles Sun Nov 17 22:17:14 2024 cycles contain 21346634 unique relations Sun Nov 17 22:24:11 2024 read 21346634 relations Sun Nov 17 22:25:32 2024 multiplying 21346634 relations Sun Nov 17 22:42:21 2024 multiply complete, coefficients have about 681.43 million bits Sun Nov 17 22:42:23 2024 initial square root is modulo 1298911 Sun Nov 17 22:57:00 2024 found factor: 2117018980410626017406424659617314919924715462674920490891953417225173 Sun Nov 17 22:57:00 2024 reading relations for dependency 2 Sun Nov 17 22:57:02 2024 read 6429128 cycles Sun Nov 17 22:57:12 2024 cycles contain 21351850 unique relations Sun Nov 17 23:04:10 2024 read 21351850 relations Sun Nov 17 23:05:30 2024 multiplying 21351850 relations Sun Nov 17 23:22:23 2024 multiply complete, coefficients have about 681.60 million bits Sun Nov 17 23:22:25 2024 initial square root is modulo 1303213 Sun Nov 17 23:37:04 2024 sqrtTime: 4802 Sun Nov 17 23:37:04 2024 p70 factor: 2117018980410626017406424659617314919924715462674920490891953417225173 Sun Nov 17 23:37:04 2024 p92 factor: 33335829273493562801399628680505745970409119767722845399429098907224888235520158611600474247 Sun Nov 17 23:37:04 2024 p97 factor: 1857819353930924746271526922660468916375911670167038260267556501700671084282064024529390083505981 Sun Nov 17 23:37:04 2024 elapsed time 09:53:01
software ソフトウェア	NFS@Home, Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
execution environment 実行環境	NVIDIA L40S, estimated available RAM is 1031034.1 MB

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	904		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	November 14, 2015 01:06:00 UTC 2015 年 11 月 14 日 (土) 10 時 6 分 0 秒 (日本時間)
45	11e6	800		Dmitry Domanov	February 5, 2016 14:30:05 UTC 2016 年 2 月 5 日 (金) 23 時 30 分 5 秒 (日本時間)
50	43e6	5400	600	Dmitry Domanov	February 8, 2016 14:40:27 UTC 2016 年 2 月 8 日 (月) 23 時 40 分 27 秒 (日本時間)
			2400	Dmitry Domanov	January 1, 2017 11:45:03 UTC 2017 年 1 月 1 日 (日) 20 時 45 分 3 秒 (日本時間)
			2400	Dmitry Domanov	February 20, 2017 15:07:08 UTC 2017 年 2 月 21 日 (火) 0 時 7 分 8 秒 (日本時間)
55	11e7	825	200	Dmitry Domanov	February 13, 2016 20:56:12 UTC 2016 年 2 月 14 日 (日) 5 時 56 分 12 秒 (日本時間)
55	11e7	825	625	Dmitry Domanov	February 25, 2017 16:36:03 UTC 2017 年 2 月 26 日 (日) 1 時 36 分 3 秒 (日本時間)
60	26e7	12000 / 41060		yoyo@Home	July 22, 2024 02:53:54 UTC 2024 年 7 月 22 日 (月) 11 時 53 分 54 秒 (日本時間)

118×10²⁵⁷-19

c217

name 名前	Dmitry Domanov
date 日付	November 14, 2015 09:26:54 UTC 2015 年 11 月 14 日 (土) 18 時 26 分 54 秒 (日本時間)
composite number 合成数	3251852922783795843443963745995400527217512348339487358537966104314972062559895940544715502878227681258241623693746671451509438583779147781653996956387403995318503776696572548875144863464750258934148052996034393606609<217>
prime factors 素因数	20193216370127884693386900211534493<35> 161036897895785865297128176850085414826766436724066429225369300435947201136871276921576005033712630123236375896094537464071926552217497981574741222998738651747687726317179425782377413<183>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=569302774 Step 1 took 40549ms Step 2 took 13241ms ********** Factor found in step 2: 20193216370127884693386900211534493 Found probable prime factor of 35 digits: 20193216370127884693386900211534493

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
30	25e4	430	Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	600 / 2336	Dmitry Domanov	November 14, 2015 01:06:14 UTC 2015 年 11 月 14 日 (土) 10 時 6 分 14 秒 (日本時間)

118×10²⁵⁹-19

c220

name 名前	Thomas Kozlowski
date 日付	November 13, 2024 18:31:50 UTC 2024 年 11 月 14 日 (木) 3 時 31 分 50 秒 (日本時間)
composite number 合成数	7458454825605861738074059840616885955629826303243750923066286342491053089525115823576704519437632193209824435698256872097573059598497530135158600467377255493079716452111634881270028109876177387587475382641481110343694877<220>
prime factors 素因数	42374513801615475055826369851808590599413644583<47>
composite cofactor 合成数の残り	176012752866594956100965205971145949758723865500102709740015255338019117995735632994164196248008679809860300327060613246884601454893217169992808878681085454011511690459406619<174>
factorization results 素因数分解の結果	GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 7458454825605861738074059840616885955629826303243750923066286342491053089525115823576704519437632193209824435698256872097573059598497530135158600467377255493079716452111634881270028109876177387587475382641481110343694877 (220 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2809706245 Step 1 took 41936ms Step 2 took 14587ms Run 2 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3485125675 Step 1 took 37357ms Step 2 took 14566ms Run 3 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1315151673 Step 1 took 37890ms Step 2 took 14554ms Run 4 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1032083014 Step 1 took 37407ms Step 2 took 14840ms ** Factor found in step 2: 42374513801615475055826369851808590599413644583 Found prime factor of 47 digits: 42374513801615475055826369851808590599413644583 Composite cofactor 176012752866594956100965205971145949758723865500102709740015255338019117995735632994164196248008679809860300327060613246884601454893217169992808878681085454011511690459406619 has 174 digits
execution environment 実行環境	2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:06:29 UTC 2015 年 11 月 14 日 (土) 10 時 6 分 29 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 09:41:37 UTC 2021 年 12 月 24 日 (金) 18 時 41 分 37 秒 (日本時間)

118×10²⁶⁰-19

c252

composite cofactor 合成数の残り

487094171146185590872587161887213149585757265681494606745784686826185282903582329677207498089258667188451189331879039878225717490780132820345714887354253378167414361812703196320533000098770355437499598041530938840777311758726646241017380240636915028913<252>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:06:41 UTC 2015 年 11 月 14 日 (土) 10 時 6 分 41 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 10:02:32 UTC 2021 年 12 月 24 日 (金) 19 時 2 分 32 秒 (日本時間)
45	11e6	4004		Thomas Kozlowski	November 13, 2024 16:37:27 UTC 2024 年 11 月 14 日 (木) 1 時 37 分 27 秒 (日本時間)

118×10²⁶¹-19

c253

composite cofactor 合成数の残り

1220785905086166106817028399367124280374734006100336711129588893464436878289219569790280395957865651136354116714179792206957818495828852710112529685199983698489919256161567925825666497075678433762487306527187957253252536025409724278634139531757133764447<253>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:06:54 UTC 2015 年 11 月 14 日 (土) 10 時 6 分 54 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 10:16:33 UTC 2021 年 12 月 24 日 (金) 19 時 16 分 33 秒 (日本時間)
45	11e6	4001		Thomas Kozlowski	November 13, 2024 18:32:00 UTC 2024 年 11 月 14 日 (木) 3 時 32 分 0 秒 (日本時間)

118×10²⁶³-19

c226

name 名前	Dmitry Domanov
date 日付	November 14, 2015 09:27:27 UTC 2015 年 11 月 14 日 (土) 18 時 27 分 27 秒 (日本時間)
composite number 合成数	4743229223609195521259275606535203968818397345626988426976572881432882026631367143522529474051860616095361292168842005282862566443554384243712489992309428787823099718112182263938423175276954305729721189415160668385182528736053<226>
prime factors 素因数	15579406008126034372432304335379<32> 304455074932586204987252227275819066886433138360663770284296585288081449442177102146021156085849381951309591721698342954018680955861726999246032107346179018268107228769257461267151070646546259607<195>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2225013205 Step 1 took 42918ms ********** Factor found in step 1: 15579406008126034372432304335379 Found probable prime factor of 32 digits: 15579406008126034372432304335379

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
30	25e4	430	Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	600 / 2336	Dmitry Domanov	November 14, 2015 01:07:05 UTC 2015 年 11 月 14 日 (土) 10 時 7 分 5 秒 (日本時間)

118×10²⁶⁵-19

c231

composite cofactor 合成数の残り

148322694043688442206237428609031227886849396667988320621335803932154112694825189164628787959841813495920443635055819027973442005975192129535067007056293840316267987461049959882137296618288652215990340758587034041753437348409003259<231>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:07:19 UTC 2015 年 11 月 14 日 (土) 10 時 7 分 19 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 10:40:02 UTC 2021 年 12 月 24 日 (金) 19 時 40 分 2 秒 (日本時間)
45	11e6	4004		Thomas Kozlowski	November 13, 2024 20:02:53 UTC 2024 年 11 月 14 日 (木) 5 時 2 分 53 秒 (日本時間)

118×10²⁶⁶-19

c247

composite cofactor 合成数の残り

6921136840913726060961815548132382353206265215951358797024642937913189145809526757269066847510783543874433098346212347954717441849348160618947841240577525229534528918728552764896543934003717389450667962637712557581747309144164300534010051682544919<247>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:07:34 UTC 2015 年 11 月 14 日 (土) 10 時 7 分 34 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 10:49:55 UTC 2021 年 12 月 24 日 (金) 19 時 49 分 55 秒 (日本時間)
45	11e6	4000		Thomas Kozlowski	November 13, 2024 21:45:13 UTC 2024 年 11 月 14 日 (木) 6 時 45 分 13 秒 (日本時間)

118×10²⁶⁷-19

c236

composite cofactor 合成数の残り

16134503895433090850697488875636111501955047392942366401231775453447801662946397897940175895792662399767700703265101351873181877998612200336476481860215800018781578903265490959287359899607282101858220748462379989587443409789353343940333<236>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:07:48 UTC 2015 年 11 月 14 日 (土) 10 時 7 分 48 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 11:02:55 UTC 2021 年 12 月 24 日 (金) 20 時 2 分 55 秒 (日本時間)
45	11e6	4000		Thomas Kozlowski	November 13, 2024 23:26:56 UTC 2024 年 11 月 14 日 (木) 8 時 26 分 56 秒 (日本時間)

118×10²⁶⁸-19

c253

composite cofactor 合成数の残り

2145174728405031333828843311628701904225849307250296224986089072031993189906680313123971283985316450147073843259596552799289927892281492286007200365790883063456211076977263268265542675138564963145114527288099119712670349279438314111203807398165837543467<253>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:08:15 UTC 2015 年 11 月 14 日 (土) 10 時 8 分 15 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 11:33:31 UTC 2021 年 12 月 24 日 (金) 20 時 33 分 31 秒 (日本時間)
45	11e6	4002		Thomas Kozlowski	November 14, 2024 01:20:45 UTC 2024 年 11 月 14 日 (木) 10 時 20 分 45 秒 (日本時間)

118×10²⁶⁹-19

c240

composite cofactor 合成数の残り

609651211991142499971380945020078039716589858252945463415594061193212674576264556312309793095800015080047048932416743189384326379118816575103167326288501005887464161634360868585259706532911769069566610740241137309905309981506885348969317209<240>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:08:27 UTC 2015 年 11 月 14 日 (土) 10 時 8 分 27 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 11:55:43 UTC 2021 年 12 月 24 日 (金) 20 時 55 分 43 秒 (日本時間)
45	11e6	4001		Thomas Kozlowski	November 14, 2024 03:02:58 UTC 2024 年 11 月 14 日 (木) 12 時 2 分 58 秒 (日本時間)

118×10²⁷⁰-19

c249

composite cofactor 合成数の残り

121797795467746156616760404416556091208881678495580360269714693742526865387145350887207342683398726548159204944500167888236845514155762663747730505972637515039241534731018574218288529217750317642189402250558746541025815611896637634996202553317628781<249>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:08:41 UTC 2015 年 11 月 14 日 (土) 10 時 8 分 41 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 11:55:56 UTC 2021 年 12 月 24 日 (金) 20 時 55 分 56 秒 (日本時間)
45	11e6	4003		Thomas Kozlowski	November 14, 2024 04:45:28 UTC 2024 年 11 月 14 日 (木) 13 時 45 分 28 秒 (日本時間)

118×10²⁷¹-19

c260

name 名前	Dmitry Domanov
date 日付	November 14, 2015 09:33:05 UTC 2015 年 11 月 14 日 (土) 18 時 33 分 5 秒 (日本時間)
composite number 合成数	82618549387636030889833243381544243175792704191699452383482836091215469356956832635770432255564946241828766829506733297026364131329388182782835125826310691251729434670832951511071070519552048485345350950995035975266151903346288174580151109025665769381014563859<260>
prime factors 素因数	2687463030646550501356830912457901<34> 30742208709661632233052590545197769826793003168029158440554162027576513448005609569016128995041749331532470757008163887675936717971446910860178459852533367436500848755424478566164151475684299151328361657190909716508188544717759<227>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=729103737 Step 1 took 43014ms Step 2 took 14090ms ********** Factor found in step 2: 2687463030646550501356830912457901 Found probable prime factor of 34 digits: 2687463030646550501356830912457901

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
30	25e4	430	Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	600 / 2336	Dmitry Domanov	November 14, 2015 01:08:53 UTC 2015 年 11 月 14 日 (土) 10 時 8 分 53 秒 (日本時間)

118×10²⁷²-19

c224

composite cofactor 合成数の残り

61158960030207347071001741019787231479745537377988883544137426737851202614489820487100982903831147568227238762903887104636215521378734614788299222093577425577673743195239108741239352456510981698630563245309705771880273449197<224>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:09:06 UTC 2015 年 11 月 14 日 (土) 10 時 9 分 6 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 12:22:30 UTC 2021 年 12 月 24 日 (金) 21 時 22 分 30 秒 (日本時間)
45	11e6	4003		Thomas Kozlowski	November 14, 2024 06:15:34 UTC 2024 年 11 月 14 日 (木) 15 時 15 分 34 秒 (日本時間)

118×10²⁷³-19

c246

composite cofactor 合成数の残り

502310244071555580672397865430956039948617023872629381647213529020669175169517009430520144012425250994436179400584666362215281634620516061263720138911228982125487626038585358375043804697102744070690927290683825339633085105448867573929976618650031<246>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:09:23 UTC 2015 年 11 月 14 日 (土) 10 時 9 分 23 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 12:26:56 UTC 2021 年 12 月 24 日 (金) 21 時 26 分 56 秒 (日本時間)
45	11e6	4000		Thomas Kozlowski	November 14, 2024 07:58:07 UTC 2024 年 11 月 14 日 (木) 16 時 58 分 7 秒 (日本時間)

118×10²⁷⁴-19

c276

name 名前	Dmitry Domanov
date 日付	January 25, 2016 06:13:43 UTC 2016 年 1 月 25 日 (月) 15 時 13 分 43 秒 (日本時間)
composite number 合成数	131111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<276>
prime factors 素因数	72948385423388097435568492204639368379799<41>
composite cofactor 合成数の残り	1797313406597692428643537189006648840520280138429831799651729023795496918632579039989970781608624318380310414569017531642519525506620528537819125505409780820763630276072369082438291501762805922531295342536976776967715765751755956491089<235>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=460712149 Step 1 took 125223ms Step 2 took 35593ms ********** Factor found in step 2: 72948385423388097435568492204639368379799 Found probable prime factor of 41 digits: 72948385423388097435568492204639368379799

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	904		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	November 14, 2015 01:09:39 UTC 2015 年 11 月 14 日 (土) 10 時 9 分 39 秒 (日本時間)
45	11e6	4401	800	Dmitry Domanov	January 23, 2016 15:36:05 UTC 2016 年 1 月 24 日 (日) 0 時 36 分 5 秒 (日本時間)
45	11e6	4401	3601	Thomas Kozlowski	November 14, 2024 09:30:09 UTC 2024 年 11 月 14 日 (木) 18 時 30 分 9 秒 (日本時間)

118×10²⁷⁶-19

c223

name 名前	Ignacio Santos
date 日付	December 24, 2021 12:47:17 UTC 2021 年 12 月 24 日 (金) 21 時 47 分 17 秒 (日本時間)
composite number 合成数	5453775148961099650295859820538720580618999849175134702067679811718646529649615651407225617848063725381400779774623896239139502571082834272623777950174716820913135644268185231629716457054183980599508573481085041497398529963<223>
prime factors 素因数	497011906761009068380137590859598444009271887<45> 10973127755636602234157785062020820828957525194184792434196287560314029081516703799716042505761638157485522498755199852890091020346053919299580748460976824054254701778519165272549<179>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2671341027 Step 1 took 11562ms Step 2 took 5125ms ********** Factor found in step 2: 497011906761009068380137590859598444009271887 Found prime factor of 45 digits: 497011906761009068380137590859598444009271887 Prime cofactor 10973127755636602234157785062020820828957525194184792434196287560314029081516703799716042505761638157485522498755199852890091020346053919299580748460976824054254701778519165272549 has 179 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
30	25e4	430	Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	600 / 2336	Dmitry Domanov	November 14, 2015 01:09:55 UTC 2015 年 11 月 14 日 (土) 10 時 9 分 55 秒 (日本時間)

118×10²⁷⁷-19

c246

composite cofactor 合成数の残り

205774073588370687712025812057548430838932614366873476017569284591578105657082264517781283121996077226950633035628302148050351551309390763410271090766090585288161844209444140295754938168698731158038833703247845512616812980935565727948516978862881<246>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:10:09 UTC 2015 年 11 月 14 日 (土) 10 時 10 分 9 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 13:05:55 UTC 2021 年 12 月 24 日 (金) 22 時 5 分 55 秒 (日本時間)
45	11e6	4000		Thomas Kozlowski	November 14, 2024 11:12:39 UTC 2024 年 11 月 14 日 (木) 20 時 12 分 39 秒 (日本時間)

118×10²⁷⁸-19

c267

name 名前	KTakahashi
date 日付	November 14, 2015 05:02:49 UTC 2015 年 11 月 14 日 (土) 14 時 2 分 49 秒 (日本時間)
composite number 合成数	673841047757367011987551430472220658872345498938398637767092049503168610338981649848690968830626735506531883492683909569759144222761385775536802911342373279199616868963683330772134740945794892950209894606456466962839991881878485040007875397886714703178177916165635781<267>
prime factors 素因数	15305860251995752281400095983<29>
composite cofactor 合成数の残り	44025035944615001045914084602670350815239420717640734755458376066387483440606067127418513369255191864508454707674971759672738298306737710642011689600855921534208405957521045410396854051640341577975940513940944227092755865916756180858343307<239>
factorization results 素因数分解の結果	Input number is (11810^278-1)/9/3/4603/140902859 (267 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=760675123 Step 1 took 10015ms Step 2 took 5086ms ********* Factor found in step 2: 15305860251995752281400095983 Found probable prime factor of 29 digits: 15305860251995752281400095983 Composite cofactor ((118*10^278-1)/9/3/4603/140902859)/15305860251995752281400095983 has 239 digits
software ソフトウェア	GMP-ECM 6.4.4

c239

name 名前	Dmitry Domanov
date 日付	November 14, 2015 16:16:06 UTC 2015 年 11 月 15 日 (日) 1 時 16 分 6 秒 (日本時間)
composite number 合成数	44025035944615001045914084602670350815239420717640734755458376066387483440606067127418513369255191864508454707674971759672738298306737710642011689600855921534208405957521045410396854051640341577975940513940944227092755865916756180858343307<239>
prime factors 素因数	485248277538283610539389083122481155931<39>
composite cofactor 合成数の残り	90726825797216045927372646950346556586138021346604641947603993447623485302762259405655041377107568637013238650633458911662104687771918675666038649251004258076194253556380229809686751282646612515678097<200>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4064049232 Step 1 took 34801ms Step 2 took 13032ms ********** Factor found in step 2: 485248277538283610539389083122481155931 Found probable prime factor of 39 digits: 485248277538283610539389083122481155931

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	600		Dmitry Domanov	November 14, 2015 01:10:24 UTC 2015 年 11 月 14 日 (土) 10 時 10 分 24 秒 (日本時間)
45	11e6	4401	600	Dmitry Domanov	January 10, 2017 14:17:07 UTC 2017 年 1 月 10 日 (火) 23 時 17 分 7 秒 (日本時間)
45	11e6	4401	3801	Thomas Kozlowski	November 14, 2024 12:27:33 UTC 2024 年 11 月 14 日 (木) 21 時 27 分 33 秒 (日本時間)

118×10²⁷⁹-19

c280

composite cofactor 合成数の残り

1873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<280>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	904		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	November 14, 2015 01:10:37 UTC 2015 年 11 月 14 日 (土) 10 時 10 分 37 秒 (日本時間)
45	11e6	4320	800	Dmitry Domanov	January 23, 2016 11:33:23 UTC 2016 年 1 月 23 日 (土) 20 時 33 分 23 秒 (日本時間)
45	11e6	4320	3520	ebina	February 12, 2023 09:36:08 UTC 2023 年 2 月 12 日 (日) 18 時 36 分 8 秒 (日本時間)

118×10²⁸⁰-19

c277

composite cofactor 合成数の残り

2325118571194933606042155581959444414887852437729186740518737894112523916209032100429358759884216976912360763821155032206833089984059144711044904345016068933854317528438367609127863787460517319177696201583839243666514942827698861677119848039708296141288391549967389226819257499<277>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	600		Dmitry Domanov	November 14, 2015 01:10:48 UTC 2015 年 11 月 14 日 (土) 10 時 10 分 48 秒 (日本時間)
45	11e6	4401	800	Dmitry Domanov	January 22, 2016 22:29:53 UTC 2016 年 1 月 23 日 (土) 7 時 29 分 53 秒 (日本時間)
45	11e6	4401	3601	Thomas Kozlowski	November 14, 2024 14:22:32 UTC 2024 年 11 月 14 日 (木) 23 時 22 分 32 秒 (日本時間)

118×10²⁸²-19

c242

name 名前	Thomas Kozlowski
date 日付	November 14, 2024 15:42:15 UTC 2024 年 11 月 15 日 (金) 0 時 42 分 15 秒 (日本時間)
composite number 合成数	31663250146985317145047063587525355549763810871426005531863150281605095603285678188609376589927868702262069966748929120163206195557500480580063887029106548869295502379018856169566055680833700391613468397190906729309085781006211251783476661067<242>
prime factors 素因数	8533233169139322149327728795941122376083<40> 3710580681364286656499476556110958009277025789074234448144850647200013111349086837115340403418041508413346795092161987725740068564916794238674147407163779661536307955903782547640445406998154793100051049<202>
factorization results 素因数分解の結果	GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 31663250146985317145047063587525355549763810871426005531863150281605095603285678188609376589927868702262069966748929120163206195557500480580063887029106548869295502379018856169566055680833700391613468397190906729309085781006211251783476661067 (242 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2155950211 Step 1 took 47561ms Step 2 took 16133ms Run 2 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2406361178 Step 1 took 43928ms Step 2 took 16066ms Run 3 out of 0: ... Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2563390998 Step 1 took 47165ms Step 2 took 16173ms Run 50 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:82030942 Step 1 took 44969ms Step 2 took 16167ms ** Factor found in step 2: 8533233169139322149327728795941122376083 Found prime factor of 40 digits: 8533233169139322149327728795941122376083 Prime cofactor 3710580681364286656499476556110958009277025789074234448144850647200013111349086837115340403418041508413346795092161987725740068564916794238674147407163779661536307955903782547640445406998154793100051049 has 202 digits
execution environment 実行環境	2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:11:03 UTC 2015 年 11 月 14 日 (土) 10 時 11 分 3 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 13:27:32 UTC 2021 年 12 月 24 日 (金) 22 時 27 分 32 秒 (日本時間)

118×10²⁸³-19

c240

name 名前	Ignacio Santos
date 日付	December 24, 2021 13:26:51 UTC 2021 年 12 月 24 日 (金) 22 時 26 分 51 秒 (日本時間)
composite number 合成数	114309715004776283222294768224278817498804824608205029800343106105788436567801079458786699003689931541486563334638470844361474883566194753609603172474432409669655087586913444754437855862801378821409205891761481260899169239239124352228895723<240>
prime factors 素因数	11249963061396009430730075142911126443<38>
composite cofactor 合成数の残り	10160896918588777597218943591486291010046427839820788276543659825910899064411298585066236542398910374137829705789045135142813103416665613820536854928901090935671382603123002824219791710847160116985888961<203>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2118437253 Step 1 took 13765ms Step 2 took 5485ms ********** Factor found in step 2: 11249963061396009430730075142911126443 Found prime factor of 38 digits: 11249963061396009430730075142911126443 Composite cofactor 10160896918588777597218943591486291010046427839820788276543659825910899064411298585066236542398910374137829705789045135142813103416665613820536854928901090935671382603123002824219791710847160116985888961 has 203 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:11:16 UTC 2015 年 11 月 14 日 (土) 10 時 11 分 16 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 26, 2021 11:18:37 UTC 2021 年 12 月 26 日 (日) 20 時 18 分 37 秒 (日本時間)
45	11e6	4000		Thomas Kozlowski	November 14, 2024 16:32:24 UTC 2024 年 11 月 15 日 (金) 1 時 32 分 24 秒 (日本時間)

118×10²⁸⁴-19

c275

composite cofactor 合成数の残り

46010417715954104167579727565788761366961423581172182261685282788755088071786214654756856362540646161617686400695779618441000876012965699075585963240461021585740950228531610184705171072035749063183295416696514399602609572504430153436123810785441803464360922144840935878677369<275>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:11:42 UTC 2015 年 11 月 14 日 (土) 10 時 11 分 42 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 13:56:19 UTC 2021 年 12 月 24 日 (金) 22 時 56 分 19 秒 (日本時間)
45	11e6	4001		Thomas Kozlowski	November 14, 2024 18:39:16 UTC 2024 年 11 月 15 日 (金) 3 時 39 分 16 秒 (日本時間)

118×10²⁸⁶-19

c264

composite cofactor 合成数の残り

111307602727322443954757194713478051272997262626082862153031343683510848162853780104059162556215674970103317536617809282987298403310435034696247474373929460872270118487636945117597587028591799592586175787613004081387002236997812932446905803059346880146081930281193<264>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:11:56 UTC 2015 年 11 月 14 日 (土) 10 時 11 分 56 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 14:36:41 UTC 2021 年 12 月 24 日 (金) 23 時 36 分 41 秒 (日本時間)
45	11e6	4002		Thomas Kozlowski	November 14, 2024 20:33:33 UTC 2024 年 11 月 15 日 (金) 5 時 33 分 33 秒 (日本時間)

118×10²⁸⁷-19

c262

composite cofactor 合成数の残り

1956462798469803539061065084178130924093672281547286352245342242675547498680577227115888063936396490311580552068501549450452917768306226831685494186113664639152787679262793998604411096771022366190573269873498050806664421974136433947081883653212856553039696623123<262>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:12:08 UTC 2015 年 11 月 14 日 (土) 10 時 12 分 8 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 14:36:54 UTC 2021 年 12 月 24 日 (金) 23 時 36 分 54 秒 (日本時間)
45	11e6	4001		Thomas Kozlowski	November 14, 2024 22:27:52 UTC 2024 年 11 月 15 日 (金) 7 時 27 分 52 秒 (日本時間)

118×10²⁸⁸-19

c236

composite cofactor 合成数の残り

78719062583178638115195570706591954653151552289964806547780744446427101380855342773657610177267234264610459928627881378045804133292487402104790917235568684168627411479999036449735776023372085191695196156490468316053855343980307811746319<236>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:12:20 UTC 2015 年 11 月 14 日 (土) 10 時 12 分 20 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 14:56:00 UTC 2021 年 12 月 24 日 (金) 23 時 56 分 0 秒 (日本時間)
45	11e6	4000		Thomas Kozlowski	November 15, 2024 00:09:39 UTC 2024 年 11 月 15 日 (金) 9 時 9 分 39 秒 (日本時間)

118×10²⁸⁹-19

c288

composite cofactor 合成数の残り

174582038763130640627311732504808403610001479508803077378310400946885633969522118656606006805740494155940227844355673916259801745820387631306406273117325048084036100014795088030773783104009468856339695221186566060068057404941559402278443556739162598017458203876313064062731173250480840361<288>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	904		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	November 14, 2015 01:15:15 UTC 2015 年 11 月 14 日 (土) 10 時 15 分 15 秒 (日本時間)
45	11e6	4401	800	Dmitry Domanov	December 31, 2015 00:28:14 UTC 2015 年 12 月 31 日 (木) 9 時 28 分 14 秒 (日本時間)
45	11e6	4401	3601	Thomas Kozlowski	November 15, 2024 02:05:51 UTC 2024 年 11 月 15 日 (金) 11 時 5 分 51 秒 (日本時間)

118×10²⁹⁰-19

c266

composite cofactor 合成数の残り

21217588573033334484869155737203085865873460720787263912191407975093393440636212133228541168402918540545633904429026014686834775477512017847483736883781936848001839369589952242326060700643563800436704932756101282679997325266727287727409343729469392783206412926075891<266>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:15:05 UTC 2015 年 11 月 14 日 (土) 10 時 15 分 5 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 15:13:07 UTC 2021 年 12 月 25 日 (土) 0 時 13 分 7 秒 (日本時間)
45	11e6	4002		Thomas Kozlowski	November 15, 2024 04:00:43 UTC 2024 年 11 月 15 日 (金) 13 時 0 分 43 秒 (日本時間)

118×10²⁹⁴-19

c282

composite cofactor 合成数の残り

137278933374596213529039147998674468964974406072111119932005390077939610030366247582646796739889646697360810055380092100602360288002489313026666373269133258769572157826246427373745607214237901995381363520537273181603556118881398107942099367487951795275856598314585303419282181615661<282>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:14:52 UTC 2015 年 11 月 14 日 (土) 10 時 14 分 52 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 16:19:56 UTC 2021 年 12 月 25 日 (土) 1 時 19 分 56 秒 (日本時間)
45	11e6	4002		Thomas Kozlowski	November 15, 2024 06:08:09 UTC 2024 年 11 月 15 日 (金) 15 時 8 分 9 秒 (日本時間)

118×10²⁹⁵-19

c247

name 名前	Dmitry Domanov
date 日付	November 14, 2015 09:26:23 UTC 2015 年 11 月 14 日 (土) 18 時 26 分 23 秒 (日本時間)
composite number 合成数	1336252064493531967176449172823428065292408621510854562210288573291392128272952222396630131546102733696636261904707108195969237094216794817654260509792808228318854992995999846223309685948408100235033066231326403825415421729523172676083886596933259<247>
prime factors 素因数	578727907821046725932321554778279<33> 63458699679229056330448618140873846281<38>
composite cofactor 合成数の残り	36385034803211298235526536173268494351694502868226068133598826589470690869737448743468063106979431861496536036175998534674293180750630548335808238094019268829919700577800253141<176>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1696284988 Step 1 took 39495ms Step 2 took 15138ms ******** Factor found in step 2: 578727907821046725932321554778279 Found probable prime factor of 33 digits: 578727907821046725932321554778279 Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3300795827 Step 1 took 38435ms Step 2 took 11856ms ******** Factor found in step 2: 63458699679229056330448618140873846281 Found probable prime factor of 38 digits: 63458699679229056330448618140873846281

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	600		Dmitry Domanov	November 14, 2015 01:13:00 UTC 2015 年 11 月 14 日 (土) 10 時 13 分 0 秒 (日本時間)
45	11e6	600		Dmitry Domanov	November 19, 2015 10:57:11 UTC 2015 年 11 月 19 日 (木) 19 時 57 分 11 秒 (日本時間)
50	43e6	3292 / 7396	1500	Erik Branger	December 1, 2015 08:23:02 UTC 2015 年 12 月 1 日 (火) 17 時 23 分 2 秒 (日本時間)
50	43e6	3292 / 7396	1792	Dmitry Domanov	May 12, 2024 00:21:53 UTC 2024 年 5 月 12 日 (日) 9 時 21 分 53 秒 (日本時間)

118×10²⁹⁶-19

c260

composite cofactor 合成数の残り

17686323594880556392454758717888132941339129901746465254936557768450235472092622848728581955311470540217270129593162007995240971735554150465534605236022359182675793728077962126932387965824664222512866629134970203110670715631963755336028505382783832733649797049<260>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:14:39 UTC 2015 年 11 月 14 日 (土) 10 時 14 分 39 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 16:20:12 UTC 2021 年 12 月 25 日 (土) 1 時 20 分 12 秒 (日本時間)
45	11e6	4001		Thomas Kozlowski	November 15, 2024 08:02:41 UTC 2024 年 11 月 15 日 (金) 17 時 2 分 41 秒 (日本時間)

118×10²⁹⁷-19

c296

composite cofactor 合成数の残り

64586754241926655719759168035030103995621237000547345374931581828133552271483305966064586754241926655719759168035030103995621237000547345374931581828133552271483305966064586754241926655719759168035030103995621237000547345374931581828133552271483305966064586754241926655719759168035030103995621237<296>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	904		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1200	600	Dmitry Domanov	November 14, 2015 01:14:26 UTC 2015 年 11 月 14 日 (土) 10 時 14 分 26 秒 (日本時間)
40	3e6	1200	600	Dmitry Domanov	November 14, 2015 09:42:31 UTC 2015 年 11 月 14 日 (土) 18 時 42 分 31 秒 (日本時間)
45	11e6	4200	800	Dmitry Domanov	December 31, 2015 00:23:30 UTC 2015 年 12 月 31 日 (木) 9 時 23 分 30 秒 (日本時間)
45	11e6	4200	3400	Thomas Kozlowski	November 15, 2024 10:03:28 UTC 2024 年 11 月 15 日 (金) 19 時 3 分 28 秒 (日本時間)

118×10²⁹⁸-19

c225

composite cofactor 合成数の残り

389789972018224607948015786685259109296180344320573881391787732775196746144782556391268809361972233795258338158221242757380312898256315055824069258790371532889114420061430035091458749024125319477375211404792397591008069732053<225>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	904		Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	2950	600	Dmitry Domanov	November 14, 2015 01:12:42 UTC 2015 年 11 月 14 日 (土) 10 時 12 分 42 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	December 24, 2021 16:20:27 UTC 2021 年 12 月 25 日 (土) 1 時 20 分 27 秒 (日本時間)
45	11e6	3805		Thomas Kozlowski	November 15, 2024 11:28:53 UTC 2024 年 11 月 15 日 (金) 20 時 28 分 53 秒 (日本時間)

118×10²⁹⁹-19

c270

name 名前	Dmitry Domanov
date 日付	November 14, 2015 09:32:36 UTC 2015 年 11 月 14 日 (土) 18 時 32 分 36 秒 (日本時間)
composite number 合成数	161402968345973152376067255022344265383052285154442383510711966942286522272057203854488943809586068648571288611197567259542184128076623646453834817155407164225024850831549225930519359759235881295115291353295163251570982226034956096398092616898805365425501916468514470571<270>
prime factors 素因数	83496260869487009843966081007713339047<38> 1933056243060537798185803018279248954017446208977018634385516386813747285107672714270286585212582354650635013889562618830877757363323461879819985735557834032006916488235114807726939695038222664677592580303036477399274510310690713693<232>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=528111292 Step 1 took 42947ms Step 2 took 13877ms ********** Factor found in step 2: 83496260869487009843966081007713339047 Found probable prime factor of 38 digits: 83496260869487009843966081007713339047

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
30	25e4	430	Makoto Kamada	November 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	600 / 2336	Dmitry Domanov	November 14, 2015 01:14:11 UTC 2015 年 11 月 14 日 (土) 10 時 14 分 11 秒 (日本時間)