Contributed factorization results of 1011...11

Table of contents 目次

91×10¹⁰³-19
- c105
- ECM
91×10¹¹¹-19
- c113
- ECM
91×10¹²¹-19
- c107
- ECM
91×10¹²³-19
- c113
- ECM
91×10¹²⁵-19
- c100
- ECM
91×10¹³⁷-19
- c124
- ECM
91×10¹⁴¹-19
- c141
- ECM
91×10¹⁴⁴-19
- c128
- ECM
91×10¹⁴⁷-19
- c145
- ECM
91×10¹⁵⁰-19
- c96
- ECM
91×10¹⁵²-19
- c149
- ECM
91×10¹⁵⁴-19
- c125
- ECM
91×10¹⁵⁶-19
- c114
- ECM
91×10¹⁵⁷-19
- c121
- ECM
91×10¹⁵⁸-19
- c151
- ECM
91×10¹⁶²-19
- c147
- ECM
91×10¹⁶³-19
- c154
- ECM
91×10¹⁶⁴-19
- c136
- c103
- ECM
91×10¹⁶⁶-19
- c109
- ECM
91×10¹⁶⁸-19
- c167
- ECM
91×10¹⁶⁹-19
- c136
- c107
- ECM
91×10¹⁷¹-19
- c165
- c126
- ECM
91×10¹⁷²-19
- c174
- ECM
91×10¹⁷⁴-19
- c142
- ECM
91×10¹⁷⁵-19
- c142
- ECM
91×10¹⁷⁶-19
- c143
- c109
- ECM
91×10¹⁷⁷-19
- c123
- ECM
91×10¹⁷⁸-19
- c180
- ECM
91×10¹⁷⁹-19
- c179
- ECM
91×10¹⁸⁰-19
- c171
- ECM
91×10¹⁸²-19
- c175
- c141
- ECM
91×10¹⁸³-19
- c163
- c124
- ECM
91×10¹⁸⁴-19
- c169
- c129
- ECM
91×10¹⁸⁶-19
- c140
- c102
- ECM
91×10¹⁸⁷-19
- c111
- ECM
91×10¹⁸⁸-19
- c189
- c124
- ECM
91×10¹⁸⁹-19
- c134
- ECM
91×10¹⁹²-19
- c178
- ECM
91×10¹⁹⁴-19
- c132
- ECM
91×10¹⁹⁶-19
- c167
- ECM
91×10¹⁹⁸-19
- c183
- ECM
91×10²⁰⁰-19
- c185
- ECM
91×10²⁰¹-19
- c188
- c149
- ECM
91×10²⁰³-19
- c173
- ECM
91×10²⁰⁴-19
- c180
- c150
- ECM
91×10²⁰⁵-19
- c161
- ECM
91×10²⁰⁸-19
- c203
- ECM
91×10²⁰⁹-19
- c203
- ECM
91×10²¹⁰-19
- c136
- ECM
91×10²¹³-19
- c213
- ECM
91×10²¹⁴-19
- c175
- ECM
91×10²¹⁶-19
- c169
- ECM
91×10²¹⁷-19
- c190
- ECM
91×10²¹⁸-19
- c177
- ECM
91×10²²⁰-19
- c213
- ECM
91×10²²¹-19
- c199
- ECM
91×10²²³-19
- c190
- c154
- ECM
91×10²²⁴-19
- c166
- c135
- ECM
91×10²²⁵-19
- c206
- ECM
91×10²²⁶-19
- c185
- ECM
91×10²²⁷-19
- c183
- ECM
91×10²³¹-19
- c179
- ECM
91×10²³²-19
- c200
- ECM
91×10²³³-19
- c174
- ECM
91×10²³⁵-19
- c216
- ECM
91×10²³⁶-19
- c227
- ECM
91×10²³⁷-19
- c223
- ECM
91×10²³⁸-19
- c213
- c135
- ECM
91×10²³⁹-19
- c194
- ECM
91×10²⁴⁰-19
- c189
- ECM
91×10²⁴³-19
- c226
- ECM
91×10²⁴⁴-19
- c204
- ECM
91×10²⁴⁵-19
- c208
- ECM
91×10²⁴⁶-19
- c211
- c169
- ECM
91×10²⁴⁷-19
- c213
- ECM
91×10²⁴⁸-19
- c231
- ECM
91×10²⁵²-19
- c178
- ECM
91×10²⁵⁴-19
- c255
- ECM
91×10²⁵⁵-19
- c235
- ECM
91×10²⁵⁷-19
- c254
- ECM
91×10²⁵⁸-19
- c254
- ECM
91×10²⁶¹-19
- c194
- c158
- ECM
91×10²⁶²-19
- c229
- ECM
91×10²⁶³-19
- c203
- ECM
91×10²⁶⁴-19
- c238
- ECM
91×10²⁶⁶-19
- c245
- c205
- ECM
91×10²⁶⁷-19
- c248
- ECM
91×10²⁶⁸-19
- c260
- ECM
91×10²⁷¹-19
- c245
- ECM
91×10²⁷²-19
- c234
- ECM
91×10²⁷³-19
- c270
- ECM
91×10²⁷⁴-19
- c243
- ECM
91×10²⁷⁵-19
- c275
- ECM
91×10²⁷⁶-19
- c214
- ECM
91×10²⁷⁷-19
- c252
- ECM
91×10²⁷⁹-19
- c241
- ECM
91×10²⁸⁰-19
- c267
- ECM
91×10²⁸¹-19
- c211
- ECM
91×10²⁸²-19
- c258
- ECM
91×10²⁸³-19
- c262
- ECM
91×10²⁸⁴-19
- c263
- ECM
91×10²⁸⁵-19
- c255
- ECM
91×10²⁸⁶-19
- c267
- ECM
91×10²⁸⁷-19
- c277
- ECM
91×10²⁸⁸-19
- c283
- ECM
91×10²⁹²-19
- c250
- ECM
91×10²⁹³-19
- c245
- ECM
91×10²⁹⁴-19
- c293
- ECM
91×10²⁹⁵-19
- c290
- ECM
91×10²⁹⁶-19
- c251
- ECM
91×10²⁹⁷-19
- c295
- ECM
91×10²⁹⁸-19
- c277
- ECM
91×10³⁰⁰-19
- c239
- c158
- ECM

91×10¹⁰³-19

c105

name 名前	Dmitry Domanov
date 日付	December 6, 2014 15:12:08 UTC 2014 年 12 月 7 日 (日) 0 時 12 分 8 秒 (日本時間)
composite number 合成数	101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<105>
prime factors 素因数	269545564267096823528910979761676657648517<42> 375116954293184228279720149145051234325901974745627887339422683<63>
factorization results 素因数分解の結果	N=101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 ( 105 digits) SNFS difficulty: 105 digits. Divisors found: r1=269545564267096823528910979761676657648517 (pp42) r2=375116954293184228279720149145051234325901974745627887339422683 (pp63) Version: Msieve v. 1.50 (SVN unknown) Total time: 0.23 hours. Scaled time: 0.48 units (timescale=2.086). Factorization parameters were as follows: n: 101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 m: 50000000000000000000000000 deg: 4 c4: 728 c0: -5 skew: 0.29 # Murphy_E = 1.742e-07 type: snfs lss: 1 rlim: 400000 alim: 400000 lpbr: 25 lpba: 25 mfbr: 44 mfba: 44 rlambda: 2.2 alambda: 2.2 Factor base limits: 400000/400000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [200000, 340001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 43150 x 43383 Total sieving time: 0.21 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,105.000,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000 total time: 0.23 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)

91×10¹¹¹-19

c113

name 名前	KTakahashi
date 日付	December 6, 2014 17:29:12 UTC 2014 年 12 月 7 日 (日) 2 時 29 分 12 秒 (日本時間)
composite number 合成数	10111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<113>
prime factors 素因数	160944373086898105449959463947102873386248763<45> 62823638485651535945496101630702986733282666332919501831185027469797<68>
factorization results 素因数分解の結果	Number: 10111_111 N=10111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 ( 113 digits) SNFS difficulty: 114 digits. Divisors found: r1=160944373086898105449959463947102873386248763 (pp45) r2=62823638485651535945496101630702986733282666332919501831185027469797 (pp68) Version: Msieve v. 1.51 (SVN Official Release) Total time: 1.61 hours. Scaled time: 2.90 units (timescale=1.796). Factorization parameters were as follows: n: 10111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 m: 20000000000000000000000 c5: 455 c0: -16 skew: 0.51 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 : 88530 x 88755 Total sieving time: 1.56 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,114.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.61 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
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)

91×10¹²¹-19

c107

name 名前	Dmitry Domanov
date 日付	December 6, 2014 19:59:40 UTC 2014 年 12 月 7 日 (日) 4 時 59 分 40 秒 (日本時間)
composite number 合成数	29660300636485484108846654171785586408097175114153462903608707166006174320371710455813677224018246048937327<107>
prime factors 素因数	93212780505903971410683781859720884389030573748326887<53> 318199934338476694122763896779888959936539177743032121<54>
factorization results 素因数分解の結果	N=29660300636485484108846654171785586408097175114153462903608707166006174320371710455813677224018246048937327 ( 107 digits) SNFS difficulty: 122 digits. Divisors found: r1=93212780505903971410683781859720884389030573748326887 (pp53) r2=318199934338476694122763896779888959936539177743032121 (pp54) Version: Msieve v. 1.50 (SVN unknown) Total time: 1.54 hours. Scaled time: 3.22 units (timescale=2.086). Factorization parameters were as follows: n: 29660300636485484108846654171785586408097175114153462903608707166006174320371710455813677224018246048937327 m: 1000000000000000000000000 deg: 5 c5: 910 c0: -1 skew: 0.26 # Murphy_E = 1.349e-08 type: snfs lss: 1 rlim: 780000 alim: 780000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.2 alambda: 2.2 Factor base limits: 780000/780000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [390000, 840001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 79714 x 79940 Total sieving time: 1.50 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.01 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,122.000,5,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,50000 total time: 1.54 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)

91×10¹²³-19

c113

name 名前	Dmitry Domanov
date 日付	December 6, 2014 22:27:05 UTC 2014 年 12 月 7 日 (日) 7 時 27 分 5 秒 (日本時間)
composite number 合成数	59118788833891690308145700882062837668930690622587739440886740818309406515535329809065670669851182975318213449207<113>
prime factors 素因数	328207689172198667465114576357107<33> 18881851076547330313799241063032603297<38> 9539644894098417800993309308586111710659533<43>
factorization results 素因数分解の結果	N=59118788833891690308145700882062837668930690622587739440886740818309406515535329809065670669851182975318213449207 ( 113 digits) SNFS difficulty: 124 digits. Divisors found: r1=328207689172198667465114576357107 (pp33) r2=18881851076547330313799241063032603297 (pp38) r3=9539644894098417800993309308586111710659533 (pp43) Version: Msieve v. 1.50 (SVN unknown) Total time: 2.10 hours. Scaled time: 4.49 units (timescale=2.142). Factorization parameters were as follows: n: 59118788833891690308145700882062837668930690622587739440886740818309406515535329809065670669851182975318213449207 m: 1000000000000000000000000 deg: 5 c5: 91000 c0: -1 skew: 0.10 # Murphy_E = 9.877e-09 type: snfs lss: 1 rlim: 850000 alim: 850000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.2 alambda: 2.2 Factor base limits: 850000/850000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [425000, 1025001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 85830 x 86056 Total sieving time: 2.04 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.02 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,124.000,5,0,0,0,0,0,0,0,0,850000,850000,25,25,46,46,2.2,2.2,50000 total time: 2.10 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)

91×10¹²⁵-19

c100

name 名前	KTakahashi
date 日付	December 6, 2014 18:54:38 UTC 2014 年 12 月 7 日 (日) 3 時 54 分 38 秒 (日本時間)
composite number 合成数	5141141211668551197374778084533415987692480577551716558106785316312122537106910451459224553516240513<100>
prime factors 素因数	685143678162839385938274398675461<33> 7503741734075588304791315578792032591573768933146494104670700992333<67>
factorization results 素因数分解の結果	Input number is 5141141211668551197374778084533415987692480577551716558106785316312122537106910451459224553516240513 (100 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3447392676 Step 1 took 2589ms ********** Factor found in step 1: 685143678162839385938274398675461 Found probable prime factor of 33 digits: 685143678162839385938274398675461 Probable prime cofactor 7503741734075588304791315578792032591573768933146494104670700992333 has 67 digits
software ソフトウェア	GMP-ECM 6.4.4

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

91×10¹³⁷-19

c124

name 名前	Dmitry Domanov
date 日付	December 11, 2014 01:49:08 UTC 2014 年 12 月 11 日 (木) 10 時 49 分 8 秒 (日本時間)
composite number 合成数	4802082328162889862793889834985188633136691300059071214762375713085037418635448358718424289449350314327888512235152549660989<124>
prime factors 素因数	35029552628715534569700117470209486744479236739300963614763857<62> 137086601677760931873090370914402104053653232749415826434092077<63>
factorization results 素因数分解の結果	N=4802082328162889862793889834985188633136691300059071214762375713085037418635448358718424289449350314327888512235152549660989 ( 124 digits) SNFS difficulty: 138 digits. Divisors found: r1=35029552628715534569700117470209486744479236739300963614763857 (pp62) r2=137086601677760931873090370914402104053653232749415826434092077 (pp63) Version: Msieve v. 1.50 (SVN unknown) Total time: 2.59 hours. Scaled time: 5.56 units (timescale=2.146). Factorization parameters were as follows: n: 4802082328162889862793889834985188633136691300059071214762375713085037418635448358718424289449350314327888512235152549660989 m: 1000000000000000000000000000 deg: 5 c5: 9100 c0: -1 skew: 0.16 # Murphy_E = 3.506e-09 type: snfs lss: 1 rlim: 1450000 alim: 1450000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1450000/1450000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [725000, 1400001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 200701 x 200926 Total sieving time: 2.50 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.03 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,138.000,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,75000 total time: 2.59 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 17:49:44 UTC 2014 年 12 月 10 日 (水) 2 時 49 分 44 秒 (日本時間)
40	3e6	110 / 2126		Ignacio Santos	December 9, 2014 17:49:44 UTC 2014 年 12 月 10 日 (水) 2 時 49 分 44 秒 (日本時間)
45	11e6	32 / 4437		Ignacio Santos	December 9, 2014 17:49:44 UTC 2014 年 12 月 10 日 (水) 2 時 49 分 44 秒 (日本時間)

91×10¹⁴¹-19

c141

name 名前	KTakahashi
date 日付	December 6, 2014 18:56:31 UTC 2014 年 12 月 7 日 (日) 3 時 56 分 31 秒 (日本時間)
composite number 合成数	100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011<141>
prime factors 素因数	390507534953273146528780988885301482603<39> 256358717926093145064673901658571688699989678369337082919562506349529866397489975394914260246478237937<102>
factorization results 素因数分解の結果	Input number is 100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011 (141 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=515802742 Step 1 took 3884ms Step 2 took 2278ms ********** Factor found in step 2: 390507534953273146528780988885301482603 Found probable prime factor of 39 digits: 390507534953273146528780988885301482603 Probable prime cofactor 256358717926093145064673901658571688699989678369337082919562506349529866397489975394914260246478237937 has 102 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)

91×10¹⁴⁴-19

c128

name 名前	Cyp
date 日付	December 14, 2014 08:54:07 UTC 2014 年 12 月 14 日 (日) 17 時 54 分 7 秒 (日本時間)
composite number 合成数	14762836342859129805819287630666368650596800843345041287810761272744781767159993436864654933664736483995146038965081280489515609<128>
prime factors 素因数	2355663038509002807200074256135747787957191<43> 6266955885253921307070241189832168968965272448350134901525305097738274297560656920799<85>
factorization results 素因数分解の結果	12/14/14 08:58:39 v1.34.3, 12/14/14 08:58:39 v1.34.3, ************************** 12/14/14 08:58:39 v1.34.3, Starting factorization of 14762836342859129805819287630666368650596800843345041287810761272744781767159993436864654933664736483995146038965081280489515609 12/14/14 08:58:39 v1.34.3, using pretesting plan: none 12/14/14 08:58:39 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/14/14 08:58:39 v1.34.3, ************************** 12/14/14 08:58:39 v1.34.3, nfs: commencing nfs on c128: 14762836342859129805819287630666368650596800843345041287810761272744781767159993436864654933664736483995146038965081280489515609 12/14/14 08:58:39 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/14/14 08:58:39 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 08:59:30 v1.34.3, nfs: commencing lattice sieving with 8 threads [51 lines snipped] 12/14/14 09:48:15 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 09:49:12 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 09:50:10 v1.34.3, nfs: commencing msieve filtering 12/14/14 09:51:08 v1.34.3, nfs: commencing msieve linear algebra 12/14/14 09:53:44 v1.34.3, nfs: commencing msieve sqrt 12/14/14 09:54:06 v1.34.3, prp43 = 2355663038509002807200074256135747787957191 12/14/14 09:54:06 v1.34.3, prp85 = 6266955885253921307070241189832168968965272448350134901525305097738274297560656920799 12/14/14 09:54:06 v1.34.3, NFS elapsed time = 3327.2276 seconds. 12/14/14 09:54:06 v1.34.3, 12/14/14 09:54:06 v1.34.3, 12/14/14 09:54:06 v1.34.3, Total factoring time = 3327.2284 seconds -- Sun Dec 14 09:50:10 2014 Sun Dec 14 09:50:10 2014 commencing relation filtering Sun Dec 14 09:50:10 2014 estimated available RAM is 15987.3 MB Sun Dec 14 09:50:10 2014 commencing duplicate removal, pass 1 Sun Dec 14 09:50:23 2014 found 611828 hash collisions in 4490963 relations Sun Dec 14 09:50:27 2014 added 183353 free relations Sun Dec 14 09:50:27 2014 commencing duplicate removal, pass 2 Sun Dec 14 09:50:31 2014 found 445625 duplicates and 4228691 unique relations Sun Dec 14 09:50:31 2014 memory use: 20.6 MB Sun Dec 14 09:50:31 2014 reading ideals above 100000 Sun Dec 14 09:50:31 2014 commencing singleton removal, initial pass Sun Dec 14 09:50:52 2014 memory use: 94.1 MB Sun Dec 14 09:50:52 2014 reading all ideals from disk Sun Dec 14 09:50:53 2014 memory use: 135.6 MB Sun Dec 14 09:50:53 2014 keeping 4700723 ideals with weight <= 200, target excess is 21597 Sun Dec 14 09:50:53 2014 commencing in-memory singleton removal Sun Dec 14 09:50:53 2014 begin with 4228691 relations and 4700723 unique ideals Sun Dec 14 09:50:56 2014 reduce to 1692343 relations and 1508882 ideals in 13 passes Sun Dec 14 09:50:56 2014 max relations containing the same ideal: 110 Sun Dec 14 09:50:56 2014 removing 369606 relations and 290402 ideals in 79204 cliques Sun Dec 14 09:50:56 2014 commencing in-memory singleton removal Sun Dec 14 09:50:57 2014 begin with 1322737 relations and 1508882 unique ideals Sun Dec 14 09:50:57 2014 reduce to 1260769 relations and 1152869 ideals in 8 passes Sun Dec 14 09:50:57 2014 max relations containing the same ideal: 88 Sun Dec 14 09:50:57 2014 removing 297495 relations and 218291 ideals in 79204 cliques Sun Dec 14 09:50:57 2014 commencing in-memory singleton removal Sun Dec 14 09:50:57 2014 begin with 963274 relations and 1152869 unique ideals Sun Dec 14 09:50:58 2014 reduce to 911196 relations and 879264 ideals in 7 passes Sun Dec 14 09:50:58 2014 max relations containing the same ideal: 69 Sun Dec 14 09:50:58 2014 relations with 0 large ideals: 514 Sun Dec 14 09:50:58 2014 relations with 1 large ideals: 144 Sun Dec 14 09:50:58 2014 relations with 2 large ideals: 2583 Sun Dec 14 09:50:58 2014 relations with 3 large ideals: 20965 Sun Dec 14 09:50:58 2014 relations with 4 large ideals: 84812 Sun Dec 14 09:50:58 2014 relations with 5 large ideals: 196024 Sun Dec 14 09:50:58 2014 relations with 6 large ideals: 274711 Sun Dec 14 09:50:58 2014 relations with 7+ large ideals: 331443 Sun Dec 14 09:50:58 2014 commencing 2-way merge Sun Dec 14 09:50:58 2014 reduce to 556500 relation sets and 524568 unique ideals Sun Dec 14 09:50:58 2014 commencing full merge Sun Dec 14 09:51:05 2014 memory use: 69.7 MB Sun Dec 14 09:51:05 2014 found 278191 cycles, need 268768 Sun Dec 14 09:51:06 2014 weight of 268768 cycles is about 18997290 (70.68/cycle) Sun Dec 14 09:51:06 2014 distribution of cycle lengths: Sun Dec 14 09:51:06 2014 1 relations: 23873 Sun Dec 14 09:51:06 2014 2 relations: 26367 Sun Dec 14 09:51:06 2014 3 relations: 27632 Sun Dec 14 09:51:06 2014 4 relations: 26695 Sun Dec 14 09:51:06 2014 5 relations: 25381 Sun Dec 14 09:51:06 2014 6 relations: 23351 Sun Dec 14 09:51:06 2014 7 relations: 21328 Sun Dec 14 09:51:06 2014 8 relations: 18887 Sun Dec 14 09:51:06 2014 9 relations: 16336 Sun Dec 14 09:51:06 2014 10+ relations: 58918 Sun Dec 14 09:51:06 2014 heaviest cycle: 20 relations Sun Dec 14 09:51:06 2014 commencing cycle optimization Sun Dec 14 09:51:06 2014 start with 1712980 relations Sun Dec 14 09:51:08 2014 pruned 51565 relations Sun Dec 14 09:51:08 2014 memory use: 53.5 MB Sun Dec 14 09:51:08 2014 distribution of cycle lengths: Sun Dec 14 09:51:08 2014 1 relations: 23873 Sun Dec 14 09:51:08 2014 2 relations: 26918 Sun Dec 14 09:51:08 2014 3 relations: 28654 Sun Dec 14 09:51:08 2014 4 relations: 27442 Sun Dec 14 09:51:08 2014 5 relations: 26322 Sun Dec 14 09:51:08 2014 6 relations: 24038 Sun Dec 14 09:51:08 2014 7 relations: 21991 Sun Dec 14 09:51:08 2014 8 relations: 19351 Sun Dec 14 09:51:08 2014 9 relations: 16466 Sun Dec 14 09:51:08 2014 10+ relations: 53713 Sun Dec 14 09:51:08 2014 heaviest cycle: 20 relations Sun Dec 14 09:51:08 2014 RelProcTime: 58 Sun Dec 14 09:51:08 2014 Sun Dec 14 09:51:08 2014 commencing linear algebra Sun Dec 14 09:51:08 2014 read 268768 cycles Sun Dec 14 09:51:08 2014 cycles contain 857646 unique relations Sun Dec 14 09:51:13 2014 read 857646 relations Sun Dec 14 09:51:14 2014 using 20 quadratic characters above 67108758 Sun Dec 14 09:51:16 2014 building initial matrix Sun Dec 14 09:51:22 2014 memory use: 102.7 MB Sun Dec 14 09:51:22 2014 read 268768 cycles Sun Dec 14 09:51:23 2014 matrix is 268596 x 268768 (80.2 MB) with weight 24007966 (89.33/col) Sun Dec 14 09:51:23 2014 sparse part has weight 18055866 (67.18/col) Sun Dec 14 09:51:24 2014 filtering completed in 2 passes Sun Dec 14 09:51:24 2014 matrix is 268351 x 268526 (80.1 MB) with weight 23996821 (89.36/col) Sun Dec 14 09:51:24 2014 sparse part has weight 18050241 (67.22/col) Sun Dec 14 09:51:25 2014 matrix starts at (0, 0) Sun Dec 14 09:51:25 2014 matrix is 268351 x 268526 (80.1 MB) with weight 23996821 (89.36/col) Sun Dec 14 09:51:25 2014 sparse part has weight 18050241 (67.22/col) Sun Dec 14 09:51:25 2014 saving the first 48 matrix rows for later Sun Dec 14 09:51:25 2014 matrix includes 64 packed rows Sun Dec 14 09:51:25 2014 matrix is 268303 x 268526 (75.4 MB) with weight 18997786 (70.75/col) Sun Dec 14 09:51:25 2014 sparse part has weight 17081376 (63.61/col) Sun Dec 14 09:51:25 2014 using block size 65536 for processor cache size 8192 kB Sun Dec 14 09:51:25 2014 commencing Lanczos iteration (8 threads) Sun Dec 14 09:51:25 2014 memory use: 71.8 MB Sun Dec 14 09:51:32 2014 linear algebra at 4.5%, ETA 0h 2m Sun Dec 14 09:53:43 2014 lanczos halted after 4245 iterations (dim = 268301) Sun Dec 14 09:53:44 2014 recovered 39 nontrivial dependencies Sun Dec 14 09:53:44 2014 BLanczosTime: 156 Sun Dec 14 09:53:44 2014 Sun Dec 14 09:53:44 2014 commencing square root phase Sun Dec 14 09:53:44 2014 reading relations for dependency 1 Sun Dec 14 09:53:44 2014 read 134231 cycles Sun Dec 14 09:53:44 2014 cycles contain 428754 unique relations Sun Dec 14 09:53:47 2014 read 428754 relations Sun Dec 14 09:53:49 2014 multiplying 428754 relations Sun Dec 14 09:53:56 2014 multiply complete, coefficients have about 12.75 million bits Sun Dec 14 09:53:56 2014 initial square root is modulo 21207101 Sun Dec 14 09:54:06 2014 sqrtTime: 22 -- n: 14762836342859129805819287630666368650596800843345041287810761272744781767159993436864654933664736483995146038965081280489515609 m: 50000000000000000000000000000 deg: 5 c5: 1456 c0: -5 skew: 0.32 # Murphy_E = 1.997e-09 type: snfs lss: 1 rlim: 1950000 alim: 1950000 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 19:45:13 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 13 秒 (日本時間)

91×10¹⁴⁷-19

c145

name 名前	Dmitry Domanov
date 日付	December 14, 2014 23:53:50 UTC 2014 年 12 月 15 日 (月) 8 時 53 分 50 秒 (日本時間)
composite number 合成数	1594058191882565207490321789549284425525951617706307915987878150892497416224359311226724122830066389896123460682817454061344964702997179743198977<145>
prime factors 素因数	119878056416318508216226698431978720543<39> 13297330967284289427692184382428660605422893163025452291936303881478162760711814891917185989621494450204639<107>
factorization results 素因数分解の結果	N=1594058191882565207490321789549284425525951617706307915987878150892497416224359311226724122830066389896123460682817454061344964702997179743198977 ( 145 digits) SNFS difficulty: 148 digits. Divisors found: r1=119878056416318508216226698431978720543 (pp39) r2=13297330967284289427692184382428660605422893163025452291936303881478162760711814891917185989621494450204639 (pp107) Version: Msieve v. 1.50 (SVN unknown) Total time: 6.56 hours. Scaled time: 14.03 units (timescale=2.139). Factorization parameters were as follows: n: 1594058191882565207490321789549284425525951617706307915987878150892497416224359311226724122830066389896123460682817454061344964702997179743198977 m: 100000000000000000000000000000 deg: 5 c5: 9100 c0: -1 skew: 0.16 # Murphy_E = 1.486e-09 type: snfs lss: 1 rlim: 2100000 alim: 2100000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 2100000/2100000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [1050000, 2450001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 373007 x 373255 Total sieving time: 6.38 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.11 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000 total time: 6.56 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		Serge Batalov	December 10, 2014 19:45:14 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 14 秒 (日本時間)

91×10¹⁵⁰-19

c96

name 名前	KTakahashi
date 日付	December 7, 2014 10:52:47 UTC 2014 年 12 月 7 日 (日) 19 時 52 分 47 秒 (日本時間)
composite number 合成数	159098741889620262652515302130484711404127290215703901672342494191875429903420443130159181493601<96>
prime factors 素因数	14353829379767948351823146934185207623<38> 11084062495118799971621430967129576862330343748912394084887<59>
factorization results 素因数分解の結果	Number: 10111_150 N=159098741889620262652515302130484711404127290215703901672342494191875429903420443130159181493601 ( 96 digits) Divisors found: r1=14353829379767948351823146934185207623 (pp38) r2=11084062495118799971621430967129576862330343748912394084887 (pp59) Version: Msieve v. 1.51 (SVN Official Release) Total time: 5.99 hours. Scaled time: 22.72 units (timescale=2.068). Factorization parameters were as follows: name: 10111_150 n: 159098741889620262652515302130484711404127290215703901672342494191875429903420443130159181493601 m: 6433390214200612510411 deg: 4 c4: 92876784 c3: 680614174 c2: 32276645255829533 c1: -417850945771754889618 c0: -323495563139451168632 skew: 1635.250 type: gnfs # adj. I(F,S) = 56.640 # E(F1,F2) = 2.850628e-005 # GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect. # Options were: # lcd=1, enumLCD=24, maxS1=60.00000000, seed=1417907588. # maxskew=2000.0 # These parameters should be manually set: rlim: 1200000 alim: 1200000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.4 alambda: 2.4 qintsize: 60000 type: gnfs Factor base limits: 1200000/1200000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved algebraic special-q in [600000, 1440001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 193857 x 194082 Polynomial selection time: 0.17 hours. Total sieving time: 5.68 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.11 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000 total time: 5.99 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 22:14:54 UTC 2014 年 12 月 7 日 (日) 7 時 14 分 54 秒 (日本時間)

91×10¹⁵²-19

c149

name 名前	Cyp
date 日付	December 16, 2014 17:49:17 UTC 2014 年 12 月 17 日 (水) 2 時 49 分 17 秒 (日本時間)
composite number 合成数	42896402830219808710326719745072806037550851092915494086424466976840656362102206572106024823346956476649743800055623906966658653052951131098006495741<149>
prime factors 素因数	41292547039034877917538658152367678773596284175609<50> 1038841289922580115547254138215330577408795616777330978588678119198365218127761325319591962121370149<100>
factorization results 素因数分解の結果	12/16/14 03:37:49 v1.34.3, 12/16/14 03:37:49 v1.34.3, ************************** 12/16/14 03:37:49 v1.34.3, Starting factorization of 42896402830219808710326719745072806037550851092915494086424466976840656362102206572106024823346956476649743800055623906966658653052951131098006495741 12/16/14 03:37:49 v1.34.3, using pretesting plan: none 12/16/14 03:37:49 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/16/14 03:37:49 v1.34.3, ************************ 12/16/14 03:37:49 v1.34.3, nfs: commencing nfs on c149: 42896402830219808710326719745072806037550851092915494086424466976840656362102206572106024823346956476649743800055623906966658653052951131098006495741 12/16/14 03:37:49 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/16/14 03:37:49 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/16/14 03:43:39 v1.34.3, nfs: commencing lattice sieving with 8 threads [23 lines snipped] 12/16/14 05:43:44 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/16/14 05:48:32 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/16/14 05:53:24 v1.34.3, nfs: commencing msieve filtering 12/16/14 05:55:04 v1.34.3, nfs: commencing msieve linear algebra 12/16/14 16:47:16 v1.34.3, nfs: commencing nfs on c149: 42896402830219808710326719745072806037550851092915494086424466976840656362102206572106024823346956476649743800055623906966658653052951131098006495741 12/16/14 16:47:16 v1.34.3, nfs: resuming with sieving at user specified special-q 2379899 12/16/14 16:47:16 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/16/14 16:58:19 v1.34.3, 12/16/14 16:58:19 v1.34.3, ************************ 12/16/14 16:58:19 v1.34.3, Starting factorization of 42896402830219808710326719745072806037550851092915494086424466976840656362102206572106024823346956476649743800055623906966658653052951131098006495741 12/16/14 16:58:19 v1.34.3, using pretesting plan: none 12/16/14 16:58:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/16/14 16:58:19 v1.34.3, ************************ 12/16/14 16:58:19 v1.34.3, nfs: previous data file found - commencing search for last special-q 12/16/14 16:58:30 v1.34.3, nfs: parsing special-q from .dat file 12/16/14 16:58:30 v1.34.3, nfs: commencing nfs on c149: 42896402830219808710326719745072806037550851092915494086424466976840656362102206572106024823346956476649743800055623906966658653052951131098006495741 12/16/14 16:58:30 v1.34.3, nfs: resuming with filtering 12/16/14 16:58:30 v1.34.3, nfs: commencing msieve filtering 12/16/14 17:01:57 v1.34.3, nfs: commencing msieve linear algebra 12/16/14 17:04:41 v1.34.3, nfs: commencing nfs on c149: 42896402830219808710326719745072806037550851092915494086424466976840656362102206572106024823346956476649743800055623906966658653052951131098006495741 12/16/14 17:04:41 v1.34.3, nfs: resuming with sieving at user specified special-q 2429899 12/16/14 17:04:41 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/16/14 18:20:55 v1.34.3, 12/16/14 18:20:55 v1.34.3, ************************ 12/16/14 18:20:55 v1.34.3, Starting factorization of 42896402830219808710326719745072806037550851092915494086424466976840656362102206572106024823346956476649743800055623906966658653052951131098006495741 12/16/14 18:20:55 v1.34.3, using pretesting plan: none 12/16/14 18:20:55 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/16/14 18:20:55 v1.34.3, ************************ 12/16/14 18:20:55 v1.34.3, nfs: previous data file found - commencing search for last special-q 12/16/14 18:21:06 v1.34.3, nfs: parsing special-q from .dat file 12/16/14 18:21:06 v1.34.3, nfs: commencing nfs on c149: 42896402830219808710326719745072806037550851092915494086424466976840656362102206572106024823346956476649743800055623906966658653052951131098006495741 12/16/14 18:21:06 v1.34.3, nfs: resuming with filtering 12/16/14 18:21:06 v1.34.3, nfs: commencing msieve filtering 12/16/14 18:24:26 v1.34.3, nfs: commencing msieve linear algebra 12/16/14 18:26:00 v1.34.3, nfs: commencing nfs on c149: 42896402830219808710326719745072806037550851092915494086424466976840656362102206572106024823346956476649743800055623906966658653052951131098006495741 12/16/14 18:26:00 v1.34.3, nfs: resuming with sieving at user specified special-q 2455000 12/16/14 18:26:00 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/16/14 18:35:28 v1.34.3, 12/16/14 18:35:28 v1.34.3, ************************ 12/16/14 18:35:28 v1.34.3, Starting factorization of 42896402830219808710326719745072806037550851092915494086424466976840656362102206572106024823346956476649743800055623906966658653052951131098006495741 12/16/14 18:35:28 v1.34.3, using pretesting plan: none 12/16/14 18:35:28 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/16/14 18:35:28 v1.34.3, ************************** 12/16/14 18:35:28 v1.34.3, nfs: previous data file found - commencing search for last special-q 12/16/14 18:35:39 v1.34.3, nfs: parsing special-q from .dat file 12/16/14 18:35:39 v1.34.3, nfs: commencing nfs on c149: 42896402830219808710326719745072806037550851092915494086424466976840656362102206572106024823346956476649743800055623906966658653052951131098006495741 12/16/14 18:35:39 v1.34.3, nfs: resuming with filtering 12/16/14 18:35:39 v1.34.3, nfs: commencing msieve filtering 12/16/14 18:39:20 v1.34.3, nfs: commencing msieve linear algebra 12/16/14 18:45:37 v1.34.3, nfs: commencing msieve sqrt 12/16/14 18:49:15 v1.34.3, prp50 = 41292547039034877917538658152367678773596284175609 12/16/14 18:49:16 v1.34.3, prp100 = 1038841289922580115547254138215330577408795616777330978588678119198365218127761325319591962121370149 12/16/14 18:49:16 v1.34.3, NFS elapsed time = 827.4341 seconds. 12/16/14 18:49:16 v1.34.3, 12/16/14 18:49:16 v1.34.3, 12/16/14 18:49:16 v1.34.3, Total factoring time = 827.4399 seconds -- Tue Dec 16 05:53:24 2014 Tue Dec 16 05:53:24 2014 commencing relation filtering Tue Dec 16 05:53:24 2014 estimated available RAM is 15987.3 MB Tue Dec 16 05:53:24 2014 commencing duplicate removal, pass 1 Tue Dec 16 05:53:53 2014 found 1277869 hash collisions in 10395620 relations Tue Dec 16 05:54:01 2014 added 360822 free relations Tue Dec 16 05:54:01 2014 commencing duplicate removal, pass 2 Tue Dec 16 05:54:09 2014 found 753151 duplicates and 10003291 unique relations Tue Dec 16 05:54:09 2014 memory use: 41.3 MB Tue Dec 16 05:54:09 2014 reading ideals above 720000 Tue Dec 16 05:54:09 2014 commencing singleton removal, initial pass Tue Dec 16 05:54:48 2014 memory use: 188.2 MB Tue Dec 16 05:54:48 2014 reading all ideals from disk Tue Dec 16 05:54:48 2014 memory use: 268.0 MB Tue Dec 16 05:54:48 2014 keeping 9743380 ideals with weight <= 200, target excess is 116262 Tue Dec 16 05:54:48 2014 commencing in-memory singleton removal Tue Dec 16 05:54:49 2014 begin with 10003291 relations and 9743380 unique ideals Tue Dec 16 05:54:51 2014 reduce to 5140070 relations and 3816457 ideals in 11 passes Tue Dec 16 05:54:51 2014 max relations containing the same ideal: 126 Tue Dec 16 05:54:52 2014 removing 1256369 relations and 856369 ideals in 400000 cliques Tue Dec 16 05:54:52 2014 commencing in-memory singleton removal Tue Dec 16 05:54:53 2014 begin with 3883701 relations and 3816457 unique ideals Tue Dec 16 05:54:53 2014 reduce to 3687551 relations and 2745534 ideals in 7 passes Tue Dec 16 05:54:53 2014 max relations containing the same ideal: 99 Tue Dec 16 05:54:54 2014 removing 1066936 relations and 666936 ideals in 400000 cliques Tue Dec 16 05:54:54 2014 commencing in-memory singleton removal Tue Dec 16 05:54:55 2014 begin with 2620615 relations and 2745534 unique ideals Tue Dec 16 05:54:55 2014 reduce to 2463825 relations and 1905956 ideals in 8 passes Tue Dec 16 05:54:55 2014 max relations containing the same ideal: 75 Tue Dec 16 05:54:56 2014 removing 1015668 relations and 615668 ideals in 400000 cliques Tue Dec 16 05:54:56 2014 commencing in-memory singleton removal Tue Dec 16 05:54:56 2014 begin with 1448157 relations and 1905956 unique ideals Tue Dec 16 05:54:56 2014 reduce to 1263186 relations and 1079874 ideals in 8 passes Tue Dec 16 05:54:56 2014 max relations containing the same ideal: 50 Tue Dec 16 05:54:56 2014 removing 182985 relations and 134537 ideals in 48448 cliques Tue Dec 16 05:54:56 2014 commencing in-memory singleton removal Tue Dec 16 05:54:56 2014 begin with 1080201 relations and 1079874 unique ideals Tue Dec 16 05:54:57 2014 reduce to 1050559 relations and 914384 ideals in 6 passes Tue Dec 16 05:54:57 2014 max relations containing the same ideal: 39 Tue Dec 16 05:54:57 2014 relations with 0 large ideals: 2909 Tue Dec 16 05:54:57 2014 relations with 1 large ideals: 7962 Tue Dec 16 05:54:57 2014 relations with 2 large ideals: 68220 Tue Dec 16 05:54:57 2014 relations with 3 large ideals: 216861 Tue Dec 16 05:54:57 2014 relations with 4 large ideals: 327481 Tue Dec 16 05:54:57 2014 relations with 5 large ideals: 263371 Tue Dec 16 05:54:57 2014 relations with 6 large ideals: 128197 Tue Dec 16 05:54:57 2014 relations with 7+ large ideals: 35558 Tue Dec 16 05:54:57 2014 commencing 2-way merge Tue Dec 16 05:54:57 2014 reduce to 667634 relation sets and 531459 unique ideals Tue Dec 16 05:54:57 2014 commencing full merge Tue Dec 16 05:55:01 2014 memory use: 60.9 MB Tue Dec 16 05:55:01 2014 found 334895 cycles, need 315659 Tue Dec 16 05:55:01 2014 weight of 315659 cycles is about 22453156 (71.13/cycle) Tue Dec 16 05:55:01 2014 distribution of cycle lengths: Tue Dec 16 05:55:01 2014 1 relations: 29314 Tue Dec 16 05:55:01 2014 2 relations: 28753 Tue Dec 16 05:55:01 2014 3 relations: 32155 Tue Dec 16 05:55:01 2014 4 relations: 33338 Tue Dec 16 05:55:01 2014 5 relations: 32576 Tue Dec 16 05:55:01 2014 6 relations: 30467 Tue Dec 16 05:55:01 2014 7 relations: 27106 Tue Dec 16 05:55:01 2014 8 relations: 23530 Tue Dec 16 05:55:01 2014 9 relations: 19961 Tue Dec 16 05:55:01 2014 10+ relations: 58459 Tue Dec 16 05:55:01 2014 heaviest cycle: 17 relations Tue Dec 16 05:55:01 2014 commencing cycle optimization Tue Dec 16 05:55:02 2014 start with 1907043 relations Tue Dec 16 05:55:03 2014 pruned 69140 relations Tue Dec 16 05:55:03 2014 memory use: 60.0 MB Tue Dec 16 05:55:03 2014 distribution of cycle lengths: Tue Dec 16 05:55:03 2014 1 relations: 29314 Tue Dec 16 05:55:03 2014 2 relations: 29527 Tue Dec 16 05:55:03 2014 3 relations: 33669 Tue Dec 16 05:55:03 2014 4 relations: 34848 Tue Dec 16 05:55:03 2014 5 relations: 34394 Tue Dec 16 05:55:03 2014 6 relations: 31691 Tue Dec 16 05:55:03 2014 7 relations: 28085 Tue Dec 16 05:55:03 2014 8 relations: 23972 Tue Dec 16 05:55:03 2014 9 relations: 19987 Tue Dec 16 05:55:03 2014 10+ relations: 50172 Tue Dec 16 05:55:03 2014 heaviest cycle: 17 relations Tue Dec 16 05:55:04 2014 RelProcTime: 100 Tue Dec 16 05:55:04 2014 Tue Dec 16 05:55:04 2014 commencing linear algebra Tue Dec 16 05:55:04 2014 read 315659 cycles Tue Dec 16 05:55:04 2014 cycles contain 967537 unique relations Tue Dec 16 05:55:12 2014 read 967537 relations Tue Dec 16 05:55:13 2014 using 20 quadratic characters above 134213874 Tue Dec 16 05:55:16 2014 building initial matrix Tue Dec 16 05:55:20 2014 memory use: 116.3 MB Tue Dec 16 05:55:21 2014 read 315659 cycles Tue Dec 16 05:55:21 2014 matrix is 316103 x 315659 (94.5 MB) with weight 27973263 (88.62/col) Tue Dec 16 05:55:21 2014 sparse part has weight 21295342 (67.46/col) Tue Dec 16 05:55:22 2014 filtering completed in 2 passes Tue Dec 16 05:55:22 2014 matrix is 315210 x 315175 (94.4 MB) with weight 27943328 (88.66/col) Tue Dec 16 05:55:22 2014 sparse part has weight 21275879 (67.50/col) Tue Dec 16 05:55:22 2014 matrix starts at (0, 0) Tue Dec 16 05:55:22 2014 matrix is 315210 x 315175 (94.4 MB) with weight 27943328 (88.66/col) Tue Dec 16 05:55:22 2014 sparse part has weight 21275879 (67.50/col) Tue Dec 16 05:55:22 2014 matrix needs more columns than rows; try adding 2-3% more relations Tue Dec 16 16:58:30 2014 Tue Dec 16 16:58:30 2014 commencing relation filtering Tue Dec 16 16:58:30 2014 estimated available RAM is 15987.3 MB Tue Dec 16 16:58:30 2014 commencing duplicate removal, pass 1 Tue Dec 16 16:59:30 2014 found 1421274 hash collisions in 11221494 relations Tue Dec 16 16:59:45 2014 added 1716 free relations Tue Dec 16 16:59:45 2014 commencing duplicate removal, pass 2 Tue Dec 16 16:59:59 2014 found 813842 duplicates and 10409368 unique relations Tue Dec 16 16:59:59 2014 memory use: 41.3 MB Tue Dec 16 16:59:59 2014 reading ideals above 720000 Tue Dec 16 16:59:59 2014 commencing singleton removal, initial pass Tue Dec 16 17:01:21 2014 memory use: 188.2 MB Tue Dec 16 17:01:21 2014 reading all ideals from disk Tue Dec 16 17:01:21 2014 memory use: 279.0 MB Tue Dec 16 17:01:21 2014 keeping 9895885 ideals with weight <= 200, target excess is 116345 Tue Dec 16 17:01:22 2014 commencing in-memory singleton removal Tue Dec 16 17:01:23 2014 begin with 10409368 relations and 9895885 unique ideals Tue Dec 16 17:01:30 2014 reduce to 5568075 relations and 4031592 ideals in 11 passes Tue Dec 16 17:01:30 2014 max relations containing the same ideal: 132 Tue Dec 16 17:01:32 2014 removing 1237394 relations and 837394 ideals in 400000 cliques Tue Dec 16 17:01:33 2014 commencing in-memory singleton removal Tue Dec 16 17:01:33 2014 begin with 4330681 relations and 4031592 unique ideals Tue Dec 16 17:01:36 2014 reduce to 4155352 relations and 3003938 ideals in 8 passes Tue Dec 16 17:01:36 2014 max relations containing the same ideal: 107 Tue Dec 16 17:01:38 2014 removing 1052129 relations and 652129 ideals in 400000 cliques Tue Dec 16 17:01:38 2014 commencing in-memory singleton removal Tue Dec 16 17:01:38 2014 begin with 3103223 relations and 3003938 unique ideals Tue Dec 16 17:01:40 2014 reduce to 2970478 relations and 2207357 ideals in 7 passes Tue Dec 16 17:01:40 2014 max relations containing the same ideal: 83 Tue Dec 16 17:01:41 2014 removing 1004037 relations and 604037 ideals in 400000 cliques Tue Dec 16 17:01:42 2014 commencing in-memory singleton removal Tue Dec 16 17:01:42 2014 begin with 1966441 relations and 2207357 unique ideals Tue Dec 16 17:01:43 2014 reduce to 1821748 relations and 1442625 ideals in 8 passes Tue Dec 16 17:01:43 2014 max relations containing the same ideal: 61 Tue Dec 16 17:01:43 2014 removing 631273 relations and 387111 ideals in 244162 cliques Tue Dec 16 17:01:44 2014 commencing in-memory singleton removal Tue Dec 16 17:01:44 2014 begin with 1190475 relations and 1442625 unique ideals Tue Dec 16 17:01:44 2014 reduce to 1069367 relations and 920038 ideals in 8 passes Tue Dec 16 17:01:44 2014 max relations containing the same ideal: 38 Tue Dec 16 17:01:45 2014 removing 68078 relations and 53710 ideals in 14368 cliques Tue Dec 16 17:01:45 2014 commencing in-memory singleton removal Tue Dec 16 17:01:45 2014 begin with 1001289 relations and 920038 unique ideals Tue Dec 16 17:01:45 2014 reduce to 996563 relations and 861499 ideals in 6 passes Tue Dec 16 17:01:45 2014 max relations containing the same ideal: 37 Tue Dec 16 17:01:45 2014 relations with 0 large ideals: 2923 Tue Dec 16 17:01:45 2014 relations with 1 large ideals: 8337 Tue Dec 16 17:01:45 2014 relations with 2 large ideals: 70099 Tue Dec 16 17:01:45 2014 relations with 3 large ideals: 215867 Tue Dec 16 17:01:45 2014 relations with 4 large ideals: 310753 Tue Dec 16 17:01:45 2014 relations with 5 large ideals: 240966 Tue Dec 16 17:01:45 2014 relations with 6 large ideals: 115484 Tue Dec 16 17:01:45 2014 relations with 7+ large ideals: 32134 Tue Dec 16 17:01:45 2014 commencing 2-way merge Tue Dec 16 17:01:46 2014 reduce to 645963 relation sets and 510899 unique ideals Tue Dec 16 17:01:46 2014 commencing full merge Tue Dec 16 17:01:53 2014 memory use: 58.7 MB Tue Dec 16 17:01:53 2014 found 325295 cycles, need 307099 Tue Dec 16 17:01:53 2014 weight of 307099 cycles is about 21786518 (70.94/cycle) Tue Dec 16 17:01:53 2014 distribution of cycle lengths: Tue Dec 16 17:01:53 2014 1 relations: 27477 Tue Dec 16 17:01:53 2014 2 relations: 28141 Tue Dec 16 17:01:53 2014 3 relations: 32077 Tue Dec 16 17:01:53 2014 4 relations: 33382 Tue Dec 16 17:01:53 2014 5 relations: 32696 Tue Dec 16 17:01:53 2014 6 relations: 29748 Tue Dec 16 17:01:53 2014 7 relations: 26510 Tue Dec 16 17:01:53 2014 8 relations: 22623 Tue Dec 16 17:01:53 2014 9 relations: 18813 Tue Dec 16 17:01:53 2014 10+ relations: 55632 Tue Dec 16 17:01:53 2014 heaviest cycle: 17 relations Tue Dec 16 17:01:53 2014 commencing cycle optimization Tue Dec 16 17:01:54 2014 start with 1845673 relations Tue Dec 16 17:01:56 2014 pruned 70461 relations Tue Dec 16 17:01:56 2014 memory use: 57.7 MB Tue Dec 16 17:01:56 2014 distribution of cycle lengths: Tue Dec 16 17:01:56 2014 1 relations: 27477 Tue Dec 16 17:01:56 2014 2 relations: 28918 Tue Dec 16 17:01:56 2014 3 relations: 33644 Tue Dec 16 17:01:56 2014 4 relations: 34908 Tue Dec 16 17:01:56 2014 5 relations: 34578 Tue Dec 16 17:01:56 2014 6 relations: 31003 Tue Dec 16 17:01:56 2014 7 relations: 27665 Tue Dec 16 17:01:56 2014 8 relations: 22959 Tue Dec 16 17:01:56 2014 9 relations: 18755 Tue Dec 16 17:01:56 2014 10+ relations: 47192 Tue Dec 16 17:01:56 2014 heaviest cycle: 17 relations Tue Dec 16 17:01:57 2014 RelProcTime: 207 Tue Dec 16 17:01:57 2014 Tue Dec 16 17:01:57 2014 commencing linear algebra Tue Dec 16 17:01:57 2014 read 307099 cycles Tue Dec 16 17:01:57 2014 cycles contain 924621 unique relations Tue Dec 16 17:02:11 2014 read 924621 relations Tue Dec 16 17:02:12 2014 using 20 quadratic characters above 134209998 Tue Dec 16 17:02:17 2014 building initial matrix Tue Dec 16 17:02:28 2014 memory use: 111.8 MB Tue Dec 16 17:02:28 2014 read 307099 cycles Tue Dec 16 17:02:28 2014 matrix is 307478 x 307099 (91.6 MB) with weight 27117368 (88.30/col) Tue Dec 16 17:02:28 2014 sparse part has weight 20622667 (67.15/col) Tue Dec 16 17:02:30 2014 filtering completed in 2 passes Tue Dec 16 17:02:30 2014 matrix is 306714 x 306693 (91.5 MB) with weight 27092625 (88.34/col) Tue Dec 16 17:02:30 2014 sparse part has weight 20606819 (67.19/col) Tue Dec 16 17:02:30 2014 matrix starts at (0, 0) Tue Dec 16 17:02:31 2014 matrix is 306714 x 306693 (91.5 MB) with weight 27092625 (88.34/col) Tue Dec 16 17:02:31 2014 sparse part has weight 20606819 (67.19/col) Tue Dec 16 17:02:31 2014 matrix needs more columns than rows; try adding 2-3% more relations Tue Dec 16 18:21:06 2014 Tue Dec 16 18:21:06 2014 commencing relation filtering Tue Dec 16 18:21:06 2014 estimated available RAM is 15987.3 MB Tue Dec 16 18:21:06 2014 commencing duplicate removal, pass 1 Tue Dec 16 18:22:03 2014 found 1472384 hash collisions in 11454917 relations Tue Dec 16 18:22:19 2014 added 825 free relations Tue Dec 16 18:22:19 2014 commencing duplicate removal, pass 2 Tue Dec 16 18:22:32 2014 found 844088 duplicates and 10611654 unique relations Tue Dec 16 18:22:32 2014 memory use: 41.3 MB Tue Dec 16 18:22:32 2014 reading ideals above 720000 Tue Dec 16 18:22:33 2014 commencing singleton removal, initial pass Tue Dec 16 18:23:51 2014 memory use: 188.2 MB Tue Dec 16 18:23:51 2014 reading all ideals from disk Tue Dec 16 18:23:51 2014 memory use: 284.4 MB Tue Dec 16 18:23:52 2014 keeping 9970076 ideals with weight <= 200, target excess is 116382 Tue Dec 16 18:23:53 2014 commencing in-memory singleton removal Tue Dec 16 18:23:54 2014 begin with 10611654 relations and 9970076 unique ideals Tue Dec 16 18:24:00 2014 reduce to 5781466 relations and 4136236 ideals in 10 passes Tue Dec 16 18:24:00 2014 max relations containing the same ideal: 133 Tue Dec 16 18:24:02 2014 removing 1228114 relations and 828114 ideals in 400000 cliques Tue Dec 16 18:24:03 2014 commencing in-memory singleton removal Tue Dec 16 18:24:03 2014 begin with 4553352 relations and 4136236 unique ideals Tue Dec 16 18:24:06 2014 reduce to 4387199 relations and 3128385 ideals in 7 passes Tue Dec 16 18:24:06 2014 max relations containing the same ideal: 109 Tue Dec 16 18:24:07 2014 removing 1045340 relations and 645340 ideals in 400000 cliques Tue Dec 16 18:24:08 2014 commencing in-memory singleton removal Tue Dec 16 18:24:08 2014 begin with 3341859 relations and 3128385 unique ideals Tue Dec 16 18:24:09 2014 reduce to 3218957 relations and 2349907 ideals in 6 passes Tue Dec 16 18:24:09 2014 max relations containing the same ideal: 87 Tue Dec 16 18:24:11 2014 removing 998626 relations and 598626 ideals in 400000 cliques Tue Dec 16 18:24:11 2014 commencing in-memory singleton removal Tue Dec 16 18:24:11 2014 begin with 2220331 relations and 2349907 unique ideals Tue Dec 16 18:24:13 2014 reduce to 2090941 relations and 1608837 ideals in 7 passes Tue Dec 16 18:24:13 2014 max relations containing the same ideal: 66 Tue Dec 16 18:24:13 2014 removing 852582 relations and 505482 ideals in 347100 cliques Tue Dec 16 18:24:14 2014 commencing in-memory singleton removal Tue Dec 16 18:24:14 2014 begin with 1238359 relations and 1608837 unique ideals Tue Dec 16 18:24:15 2014 reduce to 1091315 relations and 937543 ideals in 9 passes Tue Dec 16 18:24:15 2014 max relations containing the same ideal: 37 Tue Dec 16 18:24:15 2014 removing 87663 relations and 68895 ideals in 18768 cliques Tue Dec 16 18:24:15 2014 commencing in-memory singleton removal Tue Dec 16 18:24:15 2014 begin with 1003652 relations and 937543 unique ideals Tue Dec 16 18:24:15 2014 reduce to 995558 relations and 860371 ideals in 7 passes Tue Dec 16 18:24:15 2014 max relations containing the same ideal: 37 Tue Dec 16 18:24:16 2014 relations with 0 large ideals: 2926 Tue Dec 16 18:24:16 2014 relations with 1 large ideals: 8499 Tue Dec 16 18:24:16 2014 relations with 2 large ideals: 69769 Tue Dec 16 18:24:16 2014 relations with 3 large ideals: 209871 Tue Dec 16 18:24:16 2014 relations with 4 large ideals: 302754 Tue Dec 16 18:24:16 2014 relations with 5 large ideals: 243059 Tue Dec 16 18:24:16 2014 relations with 6 large ideals: 122837 Tue Dec 16 18:24:16 2014 relations with 7+ large ideals: 35843 Tue Dec 16 18:24:16 2014 commencing 2-way merge Tue Dec 16 18:24:16 2014 reduce to 667284 relation sets and 532097 unique ideals Tue Dec 16 18:24:16 2014 commencing full merge Tue Dec 16 18:24:23 2014 memory use: 59.7 MB Tue Dec 16 18:24:23 2014 found 330366 cycles, need 312297 Tue Dec 16 18:24:23 2014 weight of 312297 cycles is about 21976908 (70.37/cycle) Tue Dec 16 18:24:23 2014 distribution of cycle lengths: Tue Dec 16 18:24:23 2014 1 relations: 29123 Tue Dec 16 18:24:23 2014 2 relations: 30359 Tue Dec 16 18:24:23 2014 3 relations: 34523 Tue Dec 16 18:24:23 2014 4 relations: 35083 Tue Dec 16 18:24:23 2014 5 relations: 32921 Tue Dec 16 18:24:23 2014 6 relations: 28935 Tue Dec 16 18:24:23 2014 7 relations: 25136 Tue Dec 16 18:24:23 2014 8 relations: 21090 Tue Dec 16 18:24:23 2014 9 relations: 17797 Tue Dec 16 18:24:23 2014 10+ relations: 57330 Tue Dec 16 18:24:23 2014 heaviest cycle: 18 relations Tue Dec 16 18:24:23 2014 commencing cycle optimization Tue Dec 16 18:24:24 2014 start with 1862876 relations Tue Dec 16 18:24:26 2014 pruned 75832 relations Tue Dec 16 18:24:26 2014 memory use: 57.6 MB Tue Dec 16 18:24:26 2014 distribution of cycle lengths: Tue Dec 16 18:24:26 2014 1 relations: 29123 Tue Dec 16 18:24:26 2014 2 relations: 31241 Tue Dec 16 18:24:26 2014 3 relations: 36297 Tue Dec 16 18:24:26 2014 4 relations: 36837 Tue Dec 16 18:24:26 2014 5 relations: 34674 Tue Dec 16 18:24:26 2014 6 relations: 30194 Tue Dec 16 18:24:26 2014 7 relations: 25929 Tue Dec 16 18:24:26 2014 8 relations: 21439 Tue Dec 16 18:24:26 2014 9 relations: 17789 Tue Dec 16 18:24:26 2014 10+ relations: 48774 Tue Dec 16 18:24:26 2014 heaviest cycle: 18 relations Tue Dec 16 18:24:26 2014 RelProcTime: 200 Tue Dec 16 18:24:26 2014 Tue Dec 16 18:24:26 2014 commencing linear algebra Tue Dec 16 18:24:26 2014 read 312297 cycles Tue Dec 16 18:24:27 2014 cycles contain 920896 unique relations Tue Dec 16 18:24:42 2014 read 920896 relations Tue Dec 16 18:24:43 2014 using 20 quadratic characters above 134209998 Tue Dec 16 18:24:47 2014 building initial matrix Tue Dec 16 18:24:57 2014 memory use: 111.6 MB Tue Dec 16 18:24:57 2014 read 312297 cycles Tue Dec 16 18:24:57 2014 matrix is 312624 x 312297 (92.2 MB) with weight 27323435 (87.49/col) Tue Dec 16 18:24:57 2014 sparse part has weight 20746992 (66.43/col) Tue Dec 16 18:25:00 2014 filtering completed in 2 passes Tue Dec 16 18:25:00 2014 matrix is 311778 x 311754 (92.1 MB) with weight 27291778 (87.54/col) Tue Dec 16 18:25:00 2014 sparse part has weight 20727140 (66.49/col) Tue Dec 16 18:25:00 2014 matrix starts at (0, 0) Tue Dec 16 18:25:00 2014 matrix is 311778 x 311754 (92.1 MB) with weight 27291778 (87.54/col) Tue Dec 16 18:25:00 2014 sparse part has weight 20727140 (66.49/col) Tue Dec 16 18:25:00 2014 matrix needs more columns than rows; try adding 2-3% more relations Tue Dec 16 18:35:39 2014 Tue Dec 16 18:35:39 2014 commencing relation filtering Tue Dec 16 18:35:39 2014 estimated available RAM is 15987.3 MB Tue Dec 16 18:35:39 2014 commencing duplicate removal, pass 1 Tue Dec 16 18:36:47 2014 found 1565649 hash collisions in 11871143 relations Tue Dec 16 18:37:03 2014 added 1323 free relations Tue Dec 16 18:37:03 2014 commencing duplicate removal, pass 2 Tue Dec 16 18:37:18 2014 found 900026 duplicates and 10972440 unique relations Tue Dec 16 18:37:18 2014 memory use: 41.3 MB Tue Dec 16 18:37:18 2014 reading ideals above 720000 Tue Dec 16 18:37:18 2014 commencing singleton removal, initial pass Tue Dec 16 18:38:41 2014 memory use: 188.2 MB Tue Dec 16 18:38:41 2014 reading all ideals from disk Tue Dec 16 18:38:41 2014 memory use: 294.2 MB Tue Dec 16 18:38:42 2014 keeping 10097925 ideals with weight <= 200, target excess is 116471 Tue Dec 16 18:38:43 2014 commencing in-memory singleton removal Tue Dec 16 18:38:43 2014 begin with 10972440 relations and 10097925 unique ideals Tue Dec 16 18:38:49 2014 reduce to 6160921 relations and 4316271 ideals in 10 passes Tue Dec 16 18:38:49 2014 max relations containing the same ideal: 135 Tue Dec 16 18:38:52 2014 removing 1210835 relations and 810835 ideals in 400000 cliques Tue Dec 16 18:38:53 2014 commencing in-memory singleton removal Tue Dec 16 18:38:53 2014 begin with 4950086 relations and 4316271 unique ideals Tue Dec 16 18:38:56 2014 reduce to 4798952 relations and 3342558 ideals in 7 passes Tue Dec 16 18:38:56 2014 max relations containing the same ideal: 113 Tue Dec 16 18:38:59 2014 removing 1033150 relations and 633150 ideals in 400000 cliques Tue Dec 16 18:38:59 2014 commencing in-memory singleton removal Tue Dec 16 18:38:59 2014 begin with 3765802 relations and 3342558 unique ideals Tue Dec 16 18:39:01 2014 reduce to 3657923 relations and 2593411 ideals in 7 passes Tue Dec 16 18:39:01 2014 max relations containing the same ideal: 94 Tue Dec 16 18:39:03 2014 removing 987633 relations and 587633 ideals in 400000 cliques Tue Dec 16 18:39:03 2014 commencing in-memory singleton removal Tue Dec 16 18:39:03 2014 begin with 2670290 relations and 2593411 unique ideals Tue Dec 16 18:39:05 2014 reduce to 2563024 relations and 1888851 ideals in 7 passes Tue Dec 16 18:39:05 2014 max relations containing the same ideal: 73 Tue Dec 16 18:39:06 2014 removing 958888 relations and 558888 ideals in 400000 cliques Tue Dec 16 18:39:06 2014 commencing in-memory singleton removal Tue Dec 16 18:39:06 2014 begin with 1604136 relations and 1888851 unique ideals Tue Dec 16 18:39:07 2014 reduce to 1474826 relations and 1186036 ideals in 8 passes Tue Dec 16 18:39:07 2014 max relations containing the same ideal: 49 Tue Dec 16 18:39:08 2014 removing 406087 relations and 252404 ideals in 153683 cliques Tue Dec 16 18:39:08 2014 commencing in-memory singleton removal Tue Dec 16 18:39:08 2014 begin with 1068739 relations and 1186036 unique ideals Tue Dec 16 18:39:08 2014 reduce to 983560 relations and 839735 ideals in 8 passes Tue Dec 16 18:39:08 2014 max relations containing the same ideal: 35 Tue Dec 16 18:39:09 2014 removing 41626 relations and 32908 ideals in 8718 cliques Tue Dec 16 18:39:09 2014 commencing in-memory singleton removal Tue Dec 16 18:39:09 2014 begin with 941934 relations and 839735 unique ideals Tue Dec 16 18:39:09 2014 reduce to 939933 relations and 804798 ideals in 5 passes Tue Dec 16 18:39:09 2014 max relations containing the same ideal: 34 Tue Dec 16 18:39:09 2014 relations with 0 large ideals: 2939 Tue Dec 16 18:39:09 2014 relations with 1 large ideals: 8862 Tue Dec 16 18:39:09 2014 relations with 2 large ideals: 71913 Tue Dec 16 18:39:09 2014 relations with 3 large ideals: 212856 Tue Dec 16 18:39:09 2014 relations with 4 large ideals: 293155 Tue Dec 16 18:39:09 2014 relations with 5 large ideals: 218918 Tue Dec 16 18:39:09 2014 relations with 6 large ideals: 103110 Tue Dec 16 18:39:09 2014 relations with 7+ large ideals: 28180 Tue Dec 16 18:39:09 2014 commencing 2-way merge Tue Dec 16 18:39:09 2014 reduce to 624504 relation sets and 489369 unique ideals Tue Dec 16 18:39:09 2014 commencing full merge Tue Dec 16 18:39:16 2014 memory use: 56.4 MB Tue Dec 16 18:39:16 2014 found 315771 cycles, need 297569 Tue Dec 16 18:39:17 2014 weight of 297569 cycles is about 21027136 (70.66/cycle) Tue Dec 16 18:39:17 2014 distribution of cycle lengths: Tue Dec 16 18:39:17 2014 1 relations: 25115 Tue Dec 16 18:39:17 2014 2 relations: 27458 Tue Dec 16 18:39:17 2014 3 relations: 31542 Tue Dec 16 18:39:17 2014 4 relations: 33037 Tue Dec 16 18:39:17 2014 5 relations: 32224 Tue Dec 16 18:39:17 2014 6 relations: 29781 Tue Dec 16 18:39:17 2014 7 relations: 26363 Tue Dec 16 18:39:17 2014 8 relations: 22294 Tue Dec 16 18:39:17 2014 9 relations: 18104 Tue Dec 16 18:39:17 2014 10+ relations: 51651 Tue Dec 16 18:39:17 2014 heaviest cycle: 17 relations Tue Dec 16 18:39:17 2014 commencing cycle optimization Tue Dec 16 18:39:17 2014 start with 1776190 relations Tue Dec 16 18:39:19 2014 pruned 71591 relations Tue Dec 16 18:39:19 2014 memory use: 54.9 MB Tue Dec 16 18:39:19 2014 distribution of cycle lengths: Tue Dec 16 18:39:19 2014 1 relations: 25115 Tue Dec 16 18:39:19 2014 2 relations: 28224 Tue Dec 16 18:39:19 2014 3 relations: 33138 Tue Dec 16 18:39:19 2014 4 relations: 34674 Tue Dec 16 18:39:19 2014 5 relations: 34229 Tue Dec 16 18:39:19 2014 6 relations: 31331 Tue Dec 16 18:39:19 2014 7 relations: 27466 Tue Dec 16 18:39:19 2014 8 relations: 22463 Tue Dec 16 18:39:19 2014 9 relations: 17925 Tue Dec 16 18:39:19 2014 10+ relations: 43004 Tue Dec 16 18:39:19 2014 heaviest cycle: 17 relations Tue Dec 16 18:39:20 2014 RelProcTime: 221 Tue Dec 16 18:39:20 2014 Tue Dec 16 18:39:20 2014 commencing linear algebra Tue Dec 16 18:39:20 2014 read 297569 cycles Tue Dec 16 18:39:20 2014 cycles contain 872679 unique relations Tue Dec 16 18:39:33 2014 read 872679 relations Tue Dec 16 18:39:33 2014 using 20 quadratic characters above 134213874 Tue Dec 16 18:39:36 2014 building initial matrix Tue Dec 16 18:39:42 2014 memory use: 106.3 MB Tue Dec 16 18:39:42 2014 read 297569 cycles Tue Dec 16 18:39:42 2014 matrix is 297851 x 297569 (88.3 MB) with weight 26158948 (87.91/col) Tue Dec 16 18:39:42 2014 sparse part has weight 19865373 (66.76/col) Tue Dec 16 18:39:44 2014 filtering completed in 2 passes Tue Dec 16 18:39:44 2014 matrix is 297208 x 297213 (88.2 MB) with weight 26139608 (87.95/col) Tue Dec 16 18:39:44 2014 sparse part has weight 19853397 (66.80/col) Tue Dec 16 18:39:44 2014 matrix starts at (0, 0) Tue Dec 16 18:39:44 2014 matrix is 297208 x 297213 (88.2 MB) with weight 26139608 (87.95/col) Tue Dec 16 18:39:44 2014 sparse part has weight 19853397 (66.80/col) Tue Dec 16 18:39:44 2014 saving the first 48 matrix rows for later Tue Dec 16 18:39:44 2014 matrix includes 64 packed rows Tue Dec 16 18:39:44 2014 matrix is 297160 x 297213 (83.0 MB) with weight 20792871 (69.96/col) Tue Dec 16 18:39:44 2014 sparse part has weight 18782544 (63.20/col) Tue Dec 16 18:39:44 2014 using block size 65536 for processor cache size 8192 kB Tue Dec 16 18:39:45 2014 commencing Lanczos iteration (8 threads) Tue Dec 16 18:39:45 2014 memory use: 79.4 MB Tue Dec 16 18:40:00 2014 linear algebra at 4.1%, ETA 0h 5m Tue Dec 16 18:45:37 2014 lanczos halted after 4699 iterations (dim = 297065) Tue Dec 16 18:45:37 2014 recovered 26 nontrivial dependencies Tue Dec 16 18:45:37 2014 BLanczosTime: 377 Tue Dec 16 18:45:37 2014 Tue Dec 16 18:45:37 2014 commencing square root phase Tue Dec 16 18:45:37 2014 reading relations for dependency 1 Tue Dec 16 18:45:37 2014 read 148656 cycles Tue Dec 16 18:45:38 2014 cycles contain 435606 unique relations Tue Dec 16 18:45:50 2014 read 435606 relations Tue Dec 16 18:45:52 2014 multiplying 435606 relations Tue Dec 16 18:46:09 2014 multiply complete, coefficients have about 14.37 million bits Tue Dec 16 18:46:09 2014 initial square root is modulo 179472221 Tue Dec 16 18:46:31 2014 Newton iteration failed to converge Tue Dec 16 18:46:31 2014 algebraic square root failed Tue Dec 16 18:46:31 2014 reading relations for dependency 2 Tue Dec 16 18:46:31 2014 read 148564 cycles Tue Dec 16 18:46:31 2014 cycles contain 435992 unique relations Tue Dec 16 18:46:45 2014 read 435992 relations Tue Dec 16 18:46:46 2014 multiplying 435992 relations Tue Dec 16 18:47:04 2014 multiply complete, coefficients have about 14.38 million bits Tue Dec 16 18:47:04 2014 initial square root is modulo 182008691 Tue Dec 16 18:47:26 2014 GCD is N, no factor found Tue Dec 16 18:47:26 2014 reading relations for dependency 3 Tue Dec 16 18:47:26 2014 read 148531 cycles Tue Dec 16 18:47:26 2014 cycles contain 435286 unique relations Tue Dec 16 18:47:39 2014 read 435286 relations Tue Dec 16 18:47:41 2014 multiplying 435286 relations Tue Dec 16 18:47:59 2014 multiply complete, coefficients have about 14.35 million bits Tue Dec 16 18:47:59 2014 initial square root is modulo 176859461 Tue Dec 16 18:48:21 2014 GCD is 1, no factor found Tue Dec 16 18:48:21 2014 reading relations for dependency 4 Tue Dec 16 18:48:21 2014 read 148301 cycles Tue Dec 16 18:48:21 2014 cycles contain 435910 unique relations Tue Dec 16 18:48:34 2014 read 435910 relations Tue Dec 16 18:48:36 2014 multiplying 435910 relations Tue Dec 16 18:48:53 2014 multiply complete, coefficients have about 14.37 million bits Tue Dec 16 18:48:53 2014 initial square root is modulo 181628281 Tue Dec 16 18:49:15 2014 sqrtTime: 218 -- n: 42896402830219808710326719745072806037550851092915494086424466976840656362102206572106024823346956476649743800055623906966658653052951131098006495741 m: 1000000000000000000000000000000 deg: 5 c5: 9100 c0: -1 skew: 0.16 # Murphy_E = 9.596e-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 19:45:14 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 14 秒 (日本時間)

91×10¹⁵⁴-19

c125

name 名前	Cyp
date 日付	December 19, 2014 14:38:08 UTC 2014 年 12 月 19 日 (金) 23 時 38 分 8 秒 (日本時間)
composite number 合成数	72250097291186889998902148872328432249079015901437333097526495936047404253622610255737713645349863773682980790599520769862461<125>
prime factors 素因数	171176595247510143853209654012860411<36> 422079298789171393660053104164852315593906249840276276792423748352676369846993007985216551<90>
factorization results 素因数分解の結果	12/19/14 13:27:41 v1.34.3, 12/19/14 13:27:41 v1.34.3, ************************** 12/19/14 13:27:41 v1.34.3, Starting factorization of 72250097291186889998902148872328432249079015901437333097526495936047404253622610255737713645349863773682980790599520769862461 12/19/14 13:27:41 v1.34.3, using pretesting plan: none 12/19/14 13:27:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/19/14 13:27:41 v1.34.3, ************************** 12/19/14 13:27:41 v1.34.3, nfs: commencing nfs on c125: 72250097291186889998902148872328432249079015901437333097526495936047404253622610255737713645349863773682980790599520769862461 12/19/14 13:27:41 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/19/14 13:27:41 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 13:28:38 v1.34.3, nfs: commencing lattice sieving with 8 threads [121 lines snipped] 12/19/14 15:29:34 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 15:30:34 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 15:31:33 v1.34.3, nfs: commencing msieve filtering 12/19/14 15:33:15 v1.34.3, nfs: commencing msieve linear algebra 12/19/14 15:37:33 v1.34.3, nfs: commencing msieve sqrt 12/19/14 15:38:07 v1.34.3, prp90 = 422079298789171393660053104164852315593906249840276276792423748352676369846993007985216551 12/19/14 15:38:07 v1.34.3, prp36 = 171176595247510143853209654012860411 12/19/14 15:38:07 v1.34.3, NFS elapsed time = 7826.2751 seconds. 12/19/14 15:38:07 v1.34.3, 12/19/14 15:38:07 v1.34.3, 12/19/14 15:38:07 v1.34.3, Total factoring time = 7826.2758 seconds -- Fri Dec 19 15:31:33 2014 Fri Dec 19 15:31:33 2014 commencing relation filtering Fri Dec 19 15:31:33 2014 estimated available RAM is 15987.3 MB Fri Dec 19 15:31:33 2014 commencing duplicate removal, pass 1 Fri Dec 19 15:32:01 2014 found 1574125 hash collisions in 10098667 relations Fri Dec 19 15:32:09 2014 added 356586 free relations Fri Dec 19 15:32:09 2014 commencing duplicate removal, pass 2 Fri Dec 19 15:32:17 2014 found 1209067 duplicates and 9246186 unique relations Fri Dec 19 15:32:17 2014 memory use: 41.3 MB Fri Dec 19 15:32:17 2014 reading ideals above 100000 Fri Dec 19 15:32:17 2014 commencing singleton removal, initial pass Fri Dec 19 15:32:56 2014 memory use: 188.2 MB Fri Dec 19 15:32:56 2014 reading all ideals from disk Fri Dec 19 15:32:56 2014 memory use: 311.2 MB Fri Dec 19 15:32:57 2014 keeping 9581204 ideals with weight <= 200, target excess is 46347 Fri Dec 19 15:32:57 2014 commencing in-memory singleton removal Fri Dec 19 15:32:58 2014 begin with 9246186 relations and 9581204 unique ideals Fri Dec 19 15:33:00 2014 reduce to 4318036 relations and 3501384 ideals in 13 passes Fri Dec 19 15:33:00 2014 max relations containing the same ideal: 121 Fri Dec 19 15:33:01 2014 removing 1270478 relations and 889033 ideals in 381445 cliques Fri Dec 19 15:33:01 2014 commencing in-memory singleton removal Fri Dec 19 15:33:02 2014 begin with 3047558 relations and 3501384 unique ideals Fri Dec 19 15:33:02 2014 reduce to 2799797 relations and 2337599 ideals in 8 passes Fri Dec 19 15:33:02 2014 max relations containing the same ideal: 91 Fri Dec 19 15:33:03 2014 removing 1068253 relations and 686808 ideals in 381445 cliques Fri Dec 19 15:33:03 2014 commencing in-memory singleton removal Fri Dec 19 15:33:03 2014 begin with 1731544 relations and 2337599 unique ideals Fri Dec 19 15:33:04 2014 reduce to 1512898 relations and 1401803 ideals in 10 passes Fri Dec 19 15:33:04 2014 max relations containing the same ideal: 59 Fri Dec 19 15:33:04 2014 removing 231036 relations and 173704 ideals in 57332 cliques Fri Dec 19 15:33:04 2014 commencing in-memory singleton removal Fri Dec 19 15:33:04 2014 begin with 1281862 relations and 1401803 unique ideals Fri Dec 19 15:33:04 2014 reduce to 1253599 relations and 1198704 ideals in 7 passes Fri Dec 19 15:33:04 2014 max relations containing the same ideal: 55 Fri Dec 19 15:33:05 2014 relations with 0 large ideals: 1065 Fri Dec 19 15:33:05 2014 relations with 1 large ideals: 722 Fri Dec 19 15:33:05 2014 relations with 2 large ideals: 11129 Fri Dec 19 15:33:05 2014 relations with 3 large ideals: 66710 Fri Dec 19 15:33:05 2014 relations with 4 large ideals: 202437 Fri Dec 19 15:33:05 2014 relations with 5 large ideals: 342918 Fri Dec 19 15:33:05 2014 relations with 6 large ideals: 352395 Fri Dec 19 15:33:05 2014 relations with 7+ large ideals: 276223 Fri Dec 19 15:33:05 2014 commencing 2-way merge Fri Dec 19 15:33:05 2014 reduce to 790519 relation sets and 735624 unique ideals Fri Dec 19 15:33:05 2014 commencing full merge Fri Dec 19 15:33:12 2014 memory use: 94.3 MB Fri Dec 19 15:33:12 2014 found 409908 cycles, need 401824 Fri Dec 19 15:33:12 2014 weight of 401824 cycles is about 28388057 (70.65/cycle) Fri Dec 19 15:33:12 2014 distribution of cycle lengths: Fri Dec 19 15:33:12 2014 1 relations: 29178 Fri Dec 19 15:33:12 2014 2 relations: 38802 Fri Dec 19 15:33:12 2014 3 relations: 43367 Fri Dec 19 15:33:12 2014 4 relations: 42799 Fri Dec 19 15:33:12 2014 5 relations: 42147 Fri Dec 19 15:33:12 2014 6 relations: 39077 Fri Dec 19 15:33:12 2014 7 relations: 34841 Fri Dec 19 15:33:12 2014 8 relations: 30160 Fri Dec 19 15:33:12 2014 9 relations: 25070 Fri Dec 19 15:33:12 2014 10+ relations: 76383 Fri Dec 19 15:33:12 2014 heaviest cycle: 19 relations Fri Dec 19 15:33:12 2014 commencing cycle optimization Fri Dec 19 15:33:13 2014 start with 2491238 relations Fri Dec 19 15:33:15 2014 pruned 77135 relations Fri Dec 19 15:33:15 2014 memory use: 77.1 MB Fri Dec 19 15:33:15 2014 distribution of cycle lengths: Fri Dec 19 15:33:15 2014 1 relations: 29178 Fri Dec 19 15:33:15 2014 2 relations: 39605 Fri Dec 19 15:33:15 2014 3 relations: 45010 Fri Dec 19 15:33:15 2014 4 relations: 44224 Fri Dec 19 15:33:15 2014 5 relations: 43974 Fri Dec 19 15:33:15 2014 6 relations: 40310 Fri Dec 19 15:33:15 2014 7 relations: 35774 Fri Dec 19 15:33:15 2014 8 relations: 30411 Fri Dec 19 15:33:15 2014 9 relations: 25190 Fri Dec 19 15:33:15 2014 10+ relations: 68148 Fri Dec 19 15:33:15 2014 heaviest cycle: 19 relations Fri Dec 19 15:33:15 2014 RelProcTime: 102 Fri Dec 19 15:33:15 2014 Fri Dec 19 15:33:15 2014 commencing linear algebra Fri Dec 19 15:33:15 2014 read 401824 cycles Fri Dec 19 15:33:16 2014 cycles contain 1216062 unique relations Fri Dec 19 15:33:24 2014 read 1216062 relations Fri Dec 19 15:33:25 2014 using 20 quadratic characters above 134214414 Fri Dec 19 15:33:29 2014 building initial matrix Fri Dec 19 15:33:35 2014 memory use: 150.3 MB Fri Dec 19 15:33:35 2014 read 401824 cycles Fri Dec 19 15:33:35 2014 matrix is 401647 x 401824 (120.1 MB) with weight 35931613 (89.42/col) Fri Dec 19 15:33:35 2014 sparse part has weight 27064769 (67.35/col) Fri Dec 19 15:33:37 2014 filtering completed in 2 passes Fri Dec 19 15:33:37 2014 matrix is 401546 x 401723 (120.1 MB) with weight 35927804 (89.43/col) Fri Dec 19 15:33:37 2014 sparse part has weight 27063128 (67.37/col) Fri Dec 19 15:33:38 2014 matrix starts at (0, 0) Fri Dec 19 15:33:38 2014 matrix is 401546 x 401723 (120.1 MB) with weight 35927804 (89.43/col) Fri Dec 19 15:33:38 2014 sparse part has weight 27063128 (67.37/col) Fri Dec 19 15:33:38 2014 saving the first 48 matrix rows for later Fri Dec 19 15:33:38 2014 matrix includes 64 packed rows Fri Dec 19 15:33:38 2014 matrix is 401498 x 401723 (113.4 MB) with weight 28457140 (70.84/col) Fri Dec 19 15:33:38 2014 sparse part has weight 25700746 (63.98/col) Fri Dec 19 15:33:38 2014 using block size 65536 for processor cache size 8192 kB Fri Dec 19 15:33:39 2014 commencing Lanczos iteration (8 threads) Fri Dec 19 15:33:39 2014 memory use: 108.5 MB Fri Dec 19 15:33:46 2014 linear algebra at 3.0%, ETA 0h 3m Fri Dec 19 15:37:33 2014 lanczos halted after 6351 iterations (dim = 401496) Fri Dec 19 15:37:33 2014 recovered 39 nontrivial dependencies Fri Dec 19 15:37:33 2014 BLanczosTime: 258 Fri Dec 19 15:37:33 2014 Fri Dec 19 15:37:33 2014 commencing square root phase Fri Dec 19 15:37:33 2014 reading relations for dependency 1 Fri Dec 19 15:37:33 2014 read 200548 cycles Fri Dec 19 15:37:33 2014 cycles contain 607056 unique relations Fri Dec 19 15:37:41 2014 read 607056 relations Fri Dec 19 15:37:42 2014 multiplying 607056 relations Fri Dec 19 15:37:53 2014 multiply complete, coefficients have about 18.32 million bits Fri Dec 19 15:37:53 2014 initial square root is modulo 182471 Fri Dec 19 15:38:07 2014 sqrtTime: 34 -- n: 72250097291186889998902148872328432249079015901437333097526495936047404253622610255737713645349863773682980790599520769862461 m: 5000000000000000000000000000000 deg: 5 c5: 1456 c0: -5 skew: 0.32 # Murphy_E = 8.329e-10 type: snfs lss: 1 rlim: 2900000 alim: 2900000 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 19:45:15 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 15 秒 (日本時間)

91×10¹⁵⁶-19

c114

name 名前	Serge Batalov
date 日付	December 10, 2014 22:55:59 UTC 2014 年 12 月 11 日 (木) 7 時 55 分 59 秒 (日本時間)
composite number 合成数	637785667586841058503075272702964300096411353394625505464028760093536290022125691153114107662208570433787969996907<114>
prime factors 素因数	403006958282443177131557096664217<33> 22261384351164358356160617123383693<35> 71090250217497541152990550864266065764955928047<47>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3673860411 Step 1 took 6947ms Step 2 took 6751ms ********** Factor found in step 2: 22261384351164358356160617123383693 Found probable prime factor of 35 digits: 22261384351164358356160617123383693 PRP47 = 71090250217497541152990550864266065764955928047 PRP33 = 403006958282443177131557096664217

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 19:45:15 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 15 秒 (日本時間)

91×10¹⁵⁷-19

c121

name 名前	Serge Batalov
date 日付	December 10, 2014 20:13:03 UTC 2014 年 12 月 11 日 (木) 5 時 13 分 3 秒 (日本時間)
composite number 合成数	4724080725806354389050753278154942826602494994557828201419284866612337176928441467070540520284550921801233341438582705867<121>
prime factors 素因数	18749361812604734306920328563631<32> 251959547904743682082005297890344419854790322095066304368929381471545506539381346857281957<90>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=219534379 Step 1 took 6899ms Step 2 took 5627ms ********** Factor found in step 2: 18749361812604734306920328563631 Found probable prime factor of 32 digits: 18749361812604734306920328563631 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 19:45:16 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 16 秒 (日本時間)

91×10¹⁵⁸-19

c151

name 名前	Cyp
date 日付	December 15, 2014 01:09:51 UTC 2014 年 12 月 15 日 (月) 10 時 9 分 51 秒 (日本時間)
composite number 合成数	5238609899033502436409246977511052400455659815463541813525842184386437063737022782434098916391182132108368571605583810343448843236671764196771419274549<151>
prime factors 素因数	15467953036276449969217658812650023113<38> 338675058473967022129981724094664223551915155489277294799116965592478292042574795499289344150030282081088321852173<114>
factorization results 素因数分解の結果	12/14/14 22:44:50 v1.34.3, 12/14/14 22:44:50 v1.34.3, ************************** 12/14/14 22:44:50 v1.34.3, Starting factorization of 5238609899033502436409246977511052400455659815463541813525842184386437063737022782434098916391182132108368571605583810343448843236671764196771419274549 12/14/14 22:44:50 v1.34.3, using pretesting plan: none 12/14/14 22:44:50 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/14/14 22:44:50 v1.34.3, ************************** 12/14/14 22:44:50 v1.34.3, nfs: commencing nfs on c151: 5238609899033502436409246977511052400455659815463541813525842184386437063737022782434098916391182132108368571605583810343448843236671764196771419274549 12/14/14 22:44:50 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/14/14 22:44:50 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 22:49:49 v1.34.3, nfs: commencing lattice sieving with 8 threads [40 lines snipped] 12/15/14 01:52:30 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/15/14 01:56:51 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/15/14 02:01:08 v1.34.3, nfs: commencing msieve filtering 12/15/14 02:02:56 v1.34.3, nfs: commencing msieve linear algebra 12/15/14 02:07:46 v1.34.3, nfs: commencing msieve sqrt 12/15/14 02:09:50 v1.34.3, prp114 = 338675058473967022129981724094664223551915155489277294799116965592478292042574795499289344150030282081088321852173 12/15/14 02:09:50 v1.34.3, prp38 = 15467953036276449969217658812650023113 12/15/14 02:09:50 v1.34.3, NFS elapsed time = 12300.3376 seconds. 12/15/14 02:09:50 v1.34.3, 12/15/14 02:09:50 v1.34.3, 12/15/14 02:09:50 v1.34.3, Total factoring time = 12300.3387 seconds -- Mon Dec 15 02:01:08 2014 Mon Dec 15 02:01:08 2014 commencing relation filtering Mon Dec 15 02:01:08 2014 estimated available RAM is 15987.3 MB Mon Dec 15 02:01:08 2014 commencing duplicate removal, pass 1 Mon Dec 15 02:01:36 2014 found 1396810 hash collisions in 10233191 relations Mon Dec 15 02:01:45 2014 added 359971 free relations Mon Dec 15 02:01:45 2014 commencing duplicate removal, pass 2 Mon Dec 15 02:01:53 2014 found 942274 duplicates and 9650888 unique relations Mon Dec 15 02:01:53 2014 memory use: 41.3 MB Mon Dec 15 02:01:53 2014 reading ideals above 100000 Mon Dec 15 02:01:53 2014 commencing singleton removal, initial pass Mon Dec 15 02:02:34 2014 memory use: 188.2 MB Mon Dec 15 02:02:34 2014 reading all ideals from disk Mon Dec 15 02:02:35 2014 memory use: 336.4 MB Mon Dec 15 02:02:35 2014 keeping 9808943 ideals with weight <= 200, target excess is 51441 Mon Dec 15 02:02:35 2014 commencing in-memory singleton removal Mon Dec 15 02:02:36 2014 begin with 9650888 relations and 9808943 unique ideals Mon Dec 15 02:02:39 2014 reduce to 4739621 relations and 3801723 ideals in 15 passes Mon Dec 15 02:02:39 2014 max relations containing the same ideal: 129 Mon Dec 15 02:02:40 2014 removing 1308702 relations and 908702 ideals in 400000 cliques Mon Dec 15 02:02:41 2014 commencing in-memory singleton removal Mon Dec 15 02:02:41 2014 begin with 3430919 relations and 3801723 unique ideals Mon Dec 15 02:02:42 2014 reduce to 3194254 relations and 2632117 ideals in 8 passes Mon Dec 15 02:02:42 2014 max relations containing the same ideal: 103 Mon Dec 15 02:02:42 2014 removing 1109201 relations and 709201 ideals in 400000 cliques Mon Dec 15 02:02:43 2014 commencing in-memory singleton removal Mon Dec 15 02:02:43 2014 begin with 2085053 relations and 2632117 unique ideals Mon Dec 15 02:02:43 2014 reduce to 1870539 relations and 1682390 ideals in 8 passes Mon Dec 15 02:02:43 2014 max relations containing the same ideal: 66 Mon Dec 15 02:02:44 2014 removing 428059 relations and 299582 ideals in 128477 cliques Mon Dec 15 02:02:44 2014 commencing in-memory singleton removal Mon Dec 15 02:02:44 2014 begin with 1442480 relations and 1682390 unique ideals Mon Dec 15 02:02:44 2014 reduce to 1367618 relations and 1302777 ideals in 7 passes Mon Dec 15 02:02:44 2014 max relations containing the same ideal: 53 Mon Dec 15 02:02:45 2014 relations with 0 large ideals: 1181 Mon Dec 15 02:02:45 2014 relations with 1 large ideals: 623 Mon Dec 15 02:02:45 2014 relations with 2 large ideals: 9206 Mon Dec 15 02:02:45 2014 relations with 3 large ideals: 59675 Mon Dec 15 02:02:45 2014 relations with 4 large ideals: 192251 Mon Dec 15 02:02:45 2014 relations with 5 large ideals: 353007 Mon Dec 15 02:02:45 2014 relations with 6 large ideals: 393508 Mon Dec 15 02:02:45 2014 relations with 7+ large ideals: 358167 Mon Dec 15 02:02:45 2014 commencing 2-way merge Mon Dec 15 02:02:45 2014 reduce to 852422 relation sets and 787581 unique ideals Mon Dec 15 02:02:45 2014 commencing full merge Mon Dec 15 02:02:52 2014 memory use: 102.4 MB Mon Dec 15 02:02:53 2014 found 440550 cycles, need 427781 Mon Dec 15 02:02:53 2014 weight of 427781 cycles is about 30355315 (70.96/cycle) Mon Dec 15 02:02:53 2014 distribution of cycle lengths: Mon Dec 15 02:02:53 2014 1 relations: 37549 Mon Dec 15 02:02:53 2014 2 relations: 42325 Mon Dec 15 02:02:53 2014 3 relations: 46190 Mon Dec 15 02:02:53 2014 4 relations: 46591 Mon Dec 15 02:02:53 2014 5 relations: 44752 Mon Dec 15 02:02:53 2014 6 relations: 41818 Mon Dec 15 02:02:53 2014 7 relations: 37374 Mon Dec 15 02:02:53 2014 8 relations: 31804 Mon Dec 15 02:02:53 2014 9 relations: 26256 Mon Dec 15 02:02:53 2014 10+ relations: 73122 Mon Dec 15 02:02:53 2014 heaviest cycle: 19 relations Mon Dec 15 02:02:53 2014 commencing cycle optimization Mon Dec 15 02:02:53 2014 start with 2545006 relations Mon Dec 15 02:02:55 2014 pruned 78675 relations Mon Dec 15 02:02:55 2014 memory use: 81.0 MB Mon Dec 15 02:02:55 2014 distribution of cycle lengths: Mon Dec 15 02:02:55 2014 1 relations: 37549 Mon Dec 15 02:02:55 2014 2 relations: 43284 Mon Dec 15 02:02:55 2014 3 relations: 47792 Mon Dec 15 02:02:55 2014 4 relations: 48351 Mon Dec 15 02:02:55 2014 5 relations: 46696 Mon Dec 15 02:02:55 2014 6 relations: 43250 Mon Dec 15 02:02:55 2014 7 relations: 38464 Mon Dec 15 02:02:55 2014 8 relations: 32055 Mon Dec 15 02:02:55 2014 9 relations: 26097 Mon Dec 15 02:02:55 2014 10+ relations: 64243 Mon Dec 15 02:02:55 2014 heaviest cycle: 19 relations Mon Dec 15 02:02:56 2014 RelProcTime: 108 Mon Dec 15 02:02:56 2014 Mon Dec 15 02:02:56 2014 commencing linear algebra Mon Dec 15 02:02:56 2014 read 427781 cycles Mon Dec 15 02:02:56 2014 cycles contain 1305455 unique relations Mon Dec 15 02:03:05 2014 read 1305455 relations Mon Dec 15 02:03:06 2014 using 20 quadratic characters above 134203710 Mon Dec 15 02:03:10 2014 building initial matrix Mon Dec 15 02:03:17 2014 memory use: 164.5 MB Mon Dec 15 02:03:17 2014 read 427781 cycles Mon Dec 15 02:03:17 2014 matrix is 427602 x 427781 (128.2 MB) with weight 38012920 (88.86/col) Mon Dec 15 02:03:17 2014 sparse part has weight 28899341 (67.56/col) Mon Dec 15 02:03:18 2014 filtering completed in 2 passes Mon Dec 15 02:03:18 2014 matrix is 427386 x 427565 (128.2 MB) with weight 38003887 (88.88/col) Mon Dec 15 02:03:18 2014 sparse part has weight 28894815 (67.58/col) Mon Dec 15 02:03:19 2014 matrix starts at (0, 0) Mon Dec 15 02:03:19 2014 matrix is 427386 x 427565 (128.2 MB) with weight 38003887 (88.88/col) Mon Dec 15 02:03:19 2014 sparse part has weight 28894815 (67.58/col) Mon Dec 15 02:03:19 2014 saving the first 48 matrix rows for later Mon Dec 15 02:03:19 2014 matrix includes 64 packed rows Mon Dec 15 02:03:19 2014 matrix is 427338 x 427565 (120.2 MB) with weight 29947064 (70.04/col) Mon Dec 15 02:03:19 2014 sparse part has weight 27241072 (63.71/col) Mon Dec 15 02:03:19 2014 using block size 65536 for processor cache size 8192 kB Mon Dec 15 02:03:20 2014 commencing Lanczos iteration (8 threads) Mon Dec 15 02:03:20 2014 memory use: 115.8 MB Mon Dec 15 02:03:28 2014 linear algebra at 2.8%, ETA 0h 4m Mon Dec 15 02:07:46 2014 lanczos halted after 6760 iterations (dim = 427338) Mon Dec 15 02:07:46 2014 recovered 37 nontrivial dependencies Mon Dec 15 02:07:46 2014 BLanczosTime: 290 Mon Dec 15 02:07:46 2014 Mon Dec 15 02:07:46 2014 commencing square root phase Mon Dec 15 02:07:46 2014 reading relations for dependency 1 Mon Dec 15 02:07:46 2014 read 213330 cycles Mon Dec 15 02:07:46 2014 cycles contain 650732 unique relations Mon Dec 15 02:07:54 2014 read 650732 relations Mon Dec 15 02:07:55 2014 multiplying 650732 relations Mon Dec 15 02:08:09 2014 multiply complete, coefficients have about 23.56 million bits Mon Dec 15 02:08:09 2014 initial square root is modulo 5838071 Mon Dec 15 02:08:27 2014 Newton iteration failed to converge Mon Dec 15 02:08:27 2014 algebraic square root failed Mon Dec 15 02:08:27 2014 reading relations for dependency 2 Mon Dec 15 02:08:27 2014 read 213211 cycles Mon Dec 15 02:08:28 2014 cycles contain 651846 unique relations Mon Dec 15 02:08:35 2014 read 651846 relations Mon Dec 15 02:08:37 2014 multiplying 651846 relations Mon Dec 15 02:08:50 2014 multiply complete, coefficients have about 23.60 million bits Mon Dec 15 02:08:50 2014 initial square root is modulo 6001531 Mon Dec 15 02:09:09 2014 GCD is 1, no factor found Mon Dec 15 02:09:09 2014 reading relations for dependency 3 Mon Dec 15 02:09:09 2014 read 213147 cycles Mon Dec 15 02:09:09 2014 cycles contain 650908 unique relations Mon Dec 15 02:09:17 2014 read 650908 relations Mon Dec 15 02:09:18 2014 multiplying 650908 relations Mon Dec 15 02:09:31 2014 multiply complete, coefficients have about 23.57 million bits Mon Dec 15 02:09:32 2014 initial square root is modulo 5867161 Mon Dec 15 02:09:50 2014 sqrtTime: 124 -- n: 5238609899033502436409246977511052400455659815463541813525842184386437063737022782434098916391182132108368571605583810343448843236671764196771419274549 m: 10000000000000000000000000000000 deg: 5 c5: 91000 c0: -1 skew: 0.10 # Murphy_E = 4.984e-10 type: snfs lss: 1 rlim: 3200000 alim: 3200000 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 19:45:17 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 17 秒 (日本時間)

91×10¹⁶²-19

c147

name 名前	Serge Batalov
date 日付	December 11, 2014 01:30:56 UTC 2014 年 12 月 11 日 (木) 10 時 30 分 56 秒 (日本時間)
composite number 合成数	994709964348029724803415020066329875185689473356309220900252952675765966120139710091382468499275035370326064442090397387787397738308424225651376599<147>
prime factors 素因数	298743263504589281493859356607<30> 3329648182452653135787353466187652894147843927251855579138958399317432769552349878437518492083781536708524878511150057<118>
factorization results 素因数分解の結果	Input number is 994709964348029724803415020066329875185689473356309220900252952675765966120139710091382468499275035370326064442090397387787397738308424225651376599 (147 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1993201287 Step 1 took 9160ms Step 2 took 7356ms ********** Factor found in step 2: 298743263504589281493859356607 Found probable prime factor of 30 digits: 298743263504589281493859356607 Probable prime cofactor 3329648182452653135787353466187652894147843927251855579138958399317432769552349878437518492083781536708524878511150057 has 118 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 19:45:17 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 17 秒 (日本時間)

91×10¹⁶³-19

c154

name 名前	Serge Batalov
date 日付	December 11, 2014 01:31:00 UTC 2014 年 12 月 11 日 (木) 10 時 31 分 0 秒 (日本時間)
composite number 合成数	3554961027686078701711297636018277631061502728648036966820789369397560831143714829254835892573101224778533258910311725458264908790744062924808500048615223<154>
prime factors 素因数	964158987787599494669382508207<30> 3687110811302443514888355399234432617147183348599585563033306274177712849914432286151395502958333250719564381197536130986489<124>
factorization results 素因数分解の結果	Input number is 3554961027686078701711297636018277631061502728648036966820789369397560831143714829254835892573101224778533258910311725458264908790744062924808500048615223 (154 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2650532642 Step 1 took 9142ms Step 2 took 7219ms ********** Factor found in step 2: 964158987787599494669382508207 Found probable prime factor of 30 digits: 964158987787599494669382508207 Probable prime cofactor 3687110811302443514888355399234432617147183348599585563033306274177712849914432286151395502958333250719564381197536130986489 has 124 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 19:45:18 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 18 秒 (日本時間)

91×10¹⁶⁴-19

c136

name 名前	Serge Batalov
date 日付	December 11, 2014 01:31:03 UTC 2014 年 12 月 11 日 (木) 10 時 31 分 3 秒 (日本時間)
composite number 合成数	7593899698148308050182215421797117075024786935378558163558133178480060990053521810206308243822426342856652291872034928328973948271479031<136>
prime factors 素因数	1608126248673346991500014637969907<34>
composite cofactor 合成数の残り	4722203685446359560531610546543639703438785394508402591617246262744144733591798624469964744929582500333<103>
factorization results 素因数分解の結果	Input number is 7593899698148308050182215421797117075024786935378558163558133178480060990053521810206308243822426342856652291872034928328973948271479031 (136 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1840189003 Step 1 took 9444ms Step 2 took 6958ms ********** Factor found in step 2: 1608126248673346991500014637969907 Found probable prime factor of 34 digits: 1608126248673346991500014637969907 Composite cofactor 4722203685446359560531610546543639703438785394508402591617246262744144733591798624469964744929582500333 has 103 digits

c103

name 名前	Dmitry Domanov
date 日付	December 11, 2014 20:44:48 UTC 2014 年 12 月 12 日 (金) 5 時 44 分 48 秒 (日本時間)
composite number 合成数	4722203685446359560531610546543639703438785394508402591617246262744144733591798624469964744929582500333<103>
prime factors 素因数	13460110867788285600176674516960970450678115686069<50> 350829479179638746282907483935588202495548163773837657<54>
factorization results 素因数分解の結果	N=4722203685446359560531610546543639703438785394508402591617246262744144733591798624469964744929582500333 ( 103 digits) Divisors found: r1=13460110867788285600176674516960970450678115686069 (pp50) r2=350829479179638746282907483935588202495548163773837657 (pp54) Version: Msieve v. 1.50 (SVN unknown) Total time: 5.10 hours. Scaled time: 9.84 units (timescale=1.929). Factorization parameters were as follows: n: 4722203685446359560531610546543639703438785394508402591617246262744144733591798624469964744929582500333 skew: 11268393.24 c0: 354452924489389968182228292352 c1: 210541448496243364204568 c2: -62828865338614309 c3: -4403366654 c4: 168 Y0: -12948204043325045115610077 Y1: 3076042774565 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, 1810001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 274271 x 274498 Total sieving time: 4.86 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.08 hours. Time per square root: 0.09 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: 5.10 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		Serge Batalov	December 10, 2014 19:45:18 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 18 秒 (日本時間)

91×10¹⁶⁶-19

c109

name 名前	Dmitry Domanov
date 日付	December 10, 2014 09:11:43 UTC 2014 年 12 月 10 日 (水) 18 時 11 分 43 秒 (日本時間)
composite number 合成数	6714730386744521091075181166341096933497902971620452357644987557225732210128523157389968790909733515707736397<109>
prime factors 素因数	903975316629370029433360933683685084421594080221598697<54> 7428001919102799157204410833407742787884797166858844101<55>
factorization results 素因数分解の結果	N=6714730386744521091075181166341096933497902971620452357644987557225732210128523157389968790909733515707736397 ( 109 digits) Divisors found: r1=903975316629370029433360933683685084421594080221598697 (pp54) r2=7428001919102799157204410833407742787884797166858844101 (pp55) Version: Msieve v. 1.50 (SVN unknown) Total time: 10.67 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 6714730386744521091075181166341096933497902971620452357644987557225732210128523157389968790909733515707736397 skew: 5007565.58 c0: 331385711887763611675678560675 c1: 532120067236547085997493 c2: -88818451771518967 c3: -16707887437 c4: 3948 Y0: -203078194291267467178067998 Y1: 191947326286253 rlim: 3060000 alim: 3060000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 3060000/3060000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [1530000, 2730001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 410544 x 410770 Total sieving time: 10.31 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.16 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: gnfs,108,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3060000,3060000,26,26,52,52,2.5,2.5,100000 total time: 10.67 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 8, 2014 17:48:54 UTC 2014 年 12 月 9 日 (火) 2 時 48 分 54 秒 (日本時間)
40	3e6	110 / 1795		Ignacio Santos	December 8, 2014 17:48:54 UTC 2014 年 12 月 9 日 (火) 2 時 48 分 54 秒 (日本時間)
45	11e6	128 / 4437	32	Ignacio Santos	December 8, 2014 17:48:54 UTC 2014 年 12 月 9 日 (火) 2 時 48 分 54 秒 (日本時間)
45	11e6	128 / 4437	96	Pierre Jammes	December 10, 2014 08:16:11 UTC 2014 年 12 月 10 日 (水) 17 時 16 分 11 秒 (日本時間)

91×10¹⁶⁸-19

c167

name 名前	Serge Batalov
date 日付	December 8, 2014 19:50:24 UTC 2014 年 12 月 9 日 (火) 4 時 50 分 24 秒 (日本時間)
composite number 合成数	40283311199645861000442673749446657813191677733510402833111996458610004426737494466578131916777335104028331119964586100044267374944665781319167773351040283311199645861<167>
prime factors 素因数	1569516572943550218043470572775288311<37> 25666062973834367188296123218429199302491338843425562473921289436814265532698756160863934094216849238556225525886816444954426122051<131>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3853798194 Step 1 took 11601ms Step 2 took 10137ms ********** Factor found in step 2: 1569516572943550218043470572775288311 Found probable prime factor of 37 digits: 1569516572943550218043470572775288311 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 19:27:27 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 27 秒 (日本時間)

91×10¹⁶⁹-19

c136

name 名前	Serge Batalov
date 日付	December 11, 2014 01:31:08 UTC 2014 年 12 月 11 日 (木) 10 時 31 分 8 秒 (日本時間)
composite number 合成数	2936616009595692098011649679104659712325438998270985032463957508633310553585743198918564899276142643101048788762489095115090735580854291<136>
prime factors 素因数	34050695078636958261393611389<29>
composite cofactor 合成数の残り	86242468848693005379110149521194886577907192498139400884782222928044828148746975112238259632091569192391119<107>
factorization results 素因数分解の結果	Input number is 2936616009595692098011649679104659712325438998270985032463957508633310553585743198918564899276142643101048788762489095115090735580854291 (136 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3323799407 Step 1 took 9876ms Step 2 took 7035ms ********** Factor found in step 2: 34050695078636958261393611389 Found probable prime factor of 29 digits: 34050695078636958261393611389 Composite cofactor 86242468848693005379110149521194886577907192498139400884782222928044828148746975112238259632091569192391119 has 107 digits

c107

name 名前	Cyp
date 日付	December 11, 2014 22:46:50 UTC 2014 年 12 月 12 日 (金) 7 時 46 分 50 秒 (日本時間)
composite number 合成数	86242468848693005379110149521194886577907192498139400884782222928044828148746975112238259632091569192391119<107>
prime factors 素因数	183563309044679967362471294328926792076991363<45> 469824112986006802398584674605494143640140678312675371010351813<63>
factorization results 素因数分解の結果	12/11/14 22:41:00 v1.34.3, 12/11/14 22:41:00 v1.34.3, ************************** 12/11/14 22:41:00 v1.34.3, Starting factorization of 86242468848693005379110149521194886577907192498139400884782222928044828148746975112238259632091569192391119 12/11/14 22:41:00 v1.34.3, using pretesting plan: none 12/11/14 22:41:00 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/11/14 22:41:00 v1.34.3, ************************** 12/11/14 22:41:00 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107 12/11/14 22:41:00 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107 12/11/14 22:41:00 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107 12/11/14 22:41:00 v1.34.3, final ECM pretested depth: 0.00 12/11/14 22:41:00 v1.34.3, scheduler: switching to sieve method 12/11/14 22:41:00 v1.34.3, nfs: commencing nfs on c107: 86242468848693005379110149521194886577907192498139400884782222928044828148746975112238259632091569192391119 12/11/14 22:41:00 v1.34.3, nfs: commencing poly selection with 8 threads 12/11/14 22:41:00 v1.34.3, nfs: setting deadline of 330 seconds 12/11/14 22:46:44 v1.34.3, nfs: completed 65 ranges of size 250 in 344.6348 seconds 12/11/14 22:46:44 v1.34.3, nfs: best poly = # norm 1.105312e-14 alpha -5.650747 e 4.132e-09 rroots 0 12/11/14 22:46:44 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 22:48:18 v1.34.3, nfs: commencing lattice sieving with 8 threads [20 lines snipped] 12/11/14 23:23:23 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 23:25:10 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 23:26:47 v1.34.3, nfs: commencing msieve filtering 12/11/14 23:27:26 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 23:29:08 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 23:30:52 v1.34.3, nfs: commencing msieve filtering 12/11/14 23:31:36 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 23:33:22 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 23:35:07 v1.34.3, nfs: commencing msieve filtering 12/11/14 23:35:54 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 23:37:37 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 23:39:27 v1.34.3, nfs: commencing msieve filtering 12/11/14 23:40:32 v1.34.3, nfs: commencing msieve linear algebra 12/11/14 23:45:30 v1.34.3, nfs: commencing msieve sqrt 12/11/14 23:46:49 v1.34.3, prp45 = 183563309044679967362471294328926792076991363 12/11/14 23:46:49 v1.34.3, prp63 = 469824112986006802398584674605494143640140678312675371010351813 12/11/14 23:46:49 v1.34.3, NFS elapsed time = 3949.1437 seconds. 12/11/14 23:46:49 v1.34.3, 12/11/14 23:46:49 v1.34.3, 12/11/14 23:46:49 v1.34.3, Total factoring time = 3949.1659 seconds -- Thu Dec 11 23:26:47 2014 Thu Dec 11 23:26:47 2014 commencing relation filtering Thu Dec 11 23:26:47 2014 estimated available RAM is 15987.3 MB Thu Dec 11 23:26:47 2014 commencing duplicate removal, pass 1 Thu Dec 11 23:27:00 2014 found 477465 hash collisions in 4496424 relations Thu Dec 11 23:27:04 2014 added 159046 free relations Thu Dec 11 23:27:04 2014 commencing duplicate removal, pass 2 Thu Dec 11 23:27:07 2014 found 266077 duplicates and 4389393 unique relations Thu Dec 11 23:27:07 2014 memory use: 20.6 MB Thu Dec 11 23:27:07 2014 reading ideals above 100000 Thu Dec 11 23:27:07 2014 commencing singleton removal, initial pass Thu Dec 11 23:27:25 2014 memory use: 172.2 MB Thu Dec 11 23:27:25 2014 reading all ideals from disk Thu Dec 11 23:27:25 2014 memory use: 143.1 MB Thu Dec 11 23:27:25 2014 keeping 5503326 ideals with weight <= 200, target excess is 21148 Thu Dec 11 23:27:25 2014 commencing in-memory singleton removal Thu Dec 11 23:27:25 2014 begin with 4389393 relations and 5503326 unique ideals Thu Dec 11 23:27:26 2014 reduce to 433 relations and 0 ideals in 23 passes Thu Dec 11 23:27:26 2014 max relations containing the same ideal: 0 Thu Dec 11 23:30:52 2014 Thu Dec 11 23:30:52 2014 commencing relation filtering Thu Dec 11 23:30:52 2014 estimated available RAM is 15987.3 MB Thu Dec 11 23:30:52 2014 commencing duplicate removal, pass 1 Thu Dec 11 23:31:07 2014 found 567216 hash collisions in 5030085 relations Thu Dec 11 23:31:10 2014 added 1216 free relations Thu Dec 11 23:31:10 2014 commencing duplicate removal, pass 2 Thu Dec 11 23:31:14 2014 found 307030 duplicates and 4724271 unique relations Thu Dec 11 23:31:14 2014 memory use: 20.6 MB Thu Dec 11 23:31:14 2014 reading ideals above 100000 Thu Dec 11 23:31:14 2014 commencing singleton removal, initial pass Thu Dec 11 23:31:33 2014 memory use: 172.2 MB Thu Dec 11 23:31:34 2014 reading all ideals from disk Thu Dec 11 23:31:34 2014 memory use: 154.1 MB Thu Dec 11 23:31:34 2014 keeping 5664859 ideals with weight <= 200, target excess is 22583 Thu Dec 11 23:31:34 2014 commencing in-memory singleton removal Thu Dec 11 23:31:34 2014 begin with 4724271 relations and 5664859 unique ideals Thu Dec 11 23:31:36 2014 reduce to 1044972 relations and 1172007 ideals in 36 passes Thu Dec 11 23:31:36 2014 max relations containing the same ideal: 76 Thu Dec 11 23:35:07 2014 Thu Dec 11 23:35:07 2014 commencing relation filtering Thu Dec 11 23:35:07 2014 estimated available RAM is 15987.3 MB Thu Dec 11 23:35:07 2014 commencing duplicate removal, pass 1 Thu Dec 11 23:35:23 2014 found 645473 hash collisions in 5413711 relations Thu Dec 11 23:35:26 2014 added 1013 free relations Thu Dec 11 23:35:26 2014 commencing duplicate removal, pass 2 Thu Dec 11 23:35:30 2014 found 350890 duplicates and 5063834 unique relations Thu Dec 11 23:35:30 2014 memory use: 20.6 MB Thu Dec 11 23:35:30 2014 reading ideals above 100000 Thu Dec 11 23:35:30 2014 commencing singleton removal, initial pass Thu Dec 11 23:35:51 2014 memory use: 172.2 MB Thu Dec 11 23:35:51 2014 reading all ideals from disk Thu Dec 11 23:35:51 2014 memory use: 165.3 MB Thu Dec 11 23:35:52 2014 keeping 5815349 ideals with weight <= 200, target excess is 24242 Thu Dec 11 23:35:52 2014 commencing in-memory singleton removal Thu Dec 11 23:35:52 2014 begin with 5063834 relations and 5815349 unique ideals Thu Dec 11 23:35:54 2014 reduce to 1572828 relations and 1609428 ideals in 29 passes Thu Dec 11 23:35:54 2014 max relations containing the same ideal: 89 Thu Dec 11 23:39:27 2014 Thu Dec 11 23:39:27 2014 commencing relation filtering Thu Dec 11 23:39:27 2014 estimated available RAM is 15987.3 MB Thu Dec 11 23:39:27 2014 commencing duplicate removal, pass 1 Thu Dec 11 23:39:45 2014 found 727708 hash collisions in 5799363 relations Thu Dec 11 23:39:48 2014 added 748 free relations Thu Dec 11 23:39:48 2014 commencing duplicate removal, pass 2 Thu Dec 11 23:39:52 2014 found 397390 duplicates and 5402721 unique relations Thu Dec 11 23:39:52 2014 memory use: 20.6 MB Thu Dec 11 23:39:52 2014 reading ideals above 100000 Thu Dec 11 23:39:52 2014 commencing singleton removal, initial pass Thu Dec 11 23:40:14 2014 memory use: 172.2 MB Thu Dec 11 23:40:15 2014 reading all ideals from disk Thu Dec 11 23:40:15 2014 memory use: 176.4 MB Thu Dec 11 23:40:15 2014 keeping 5953199 ideals with weight <= 200, target excess is 25899 Thu Dec 11 23:40:15 2014 commencing in-memory singleton removal Thu Dec 11 23:40:16 2014 begin with 5402721 relations and 5953199 unique ideals Thu Dec 11 23:40:17 2014 reduce to 2057810 relations and 1977410 ideals in 19 passes Thu Dec 11 23:40:17 2014 max relations containing the same ideal: 104 Thu Dec 11 23:40:18 2014 removing 263647 relations and 238469 ideals in 25179 cliques Thu Dec 11 23:40:18 2014 commencing in-memory singleton removal Thu Dec 11 23:40:18 2014 begin with 1794163 relations and 1977410 unique ideals Thu Dec 11 23:40:18 2014 reduce to 1764359 relations and 1708605 ideals in 9 passes Thu Dec 11 23:40:18 2014 max relations containing the same ideal: 92 Thu Dec 11 23:40:19 2014 removing 192252 relations and 167073 ideals in 25179 cliques Thu Dec 11 23:40:19 2014 commencing in-memory singleton removal Thu Dec 11 23:40:19 2014 begin with 1572107 relations and 1708605 unique ideals Thu Dec 11 23:40:19 2014 reduce to 1552883 relations and 1522006 ideals in 8 passes Thu Dec 11 23:40:19 2014 max relations containing the same ideal: 86 Thu Dec 11 23:40:20 2014 relations with 0 large ideals: 512 Thu Dec 11 23:40:20 2014 relations with 1 large ideals: 171 Thu Dec 11 23:40:20 2014 relations with 2 large ideals: 2999 Thu Dec 11 23:40:20 2014 relations with 3 large ideals: 26427 Thu Dec 11 23:40:20 2014 relations with 4 large ideals: 122231 Thu Dec 11 23:40:20 2014 relations with 5 large ideals: 334500 Thu Dec 11 23:40:20 2014 relations with 6 large ideals: 465919 Thu Dec 11 23:40:20 2014 relations with 7+ large ideals: 600124 Thu Dec 11 23:40:20 2014 commencing 2-way merge Thu Dec 11 23:40:20 2014 reduce to 882269 relation sets and 851394 unique ideals Thu Dec 11 23:40:20 2014 ignored 2 oversize relation sets Thu Dec 11 23:40:20 2014 commencing full merge Thu Dec 11 23:40:28 2014 memory use: 96.7 MB Thu Dec 11 23:40:28 2014 found 426659 cycles, need 423594 Thu Dec 11 23:40:28 2014 weight of 423594 cycles is about 29704386 (70.12/cycle) Thu Dec 11 23:40:28 2014 distribution of cycle lengths: Thu Dec 11 23:40:28 2014 1 relations: 50106 Thu Dec 11 23:40:28 2014 2 relations: 47156 Thu Dec 11 23:40:28 2014 3 relations: 45539 Thu Dec 11 23:40:28 2014 4 relations: 40551 Thu Dec 11 23:40:28 2014 5 relations: 36956 Thu Dec 11 23:40:28 2014 6 relations: 31489 Thu Dec 11 23:40:28 2014 7 relations: 27582 Thu Dec 11 23:40:28 2014 8 relations: 24074 Thu Dec 11 23:40:28 2014 9 relations: 20652 Thu Dec 11 23:40:28 2014 10+ relations: 99489 Thu Dec 11 23:40:28 2014 heaviest cycle: 27 relations Thu Dec 11 23:40:29 2014 commencing cycle optimization Thu Dec 11 23:40:29 2014 start with 2749294 relations Thu Dec 11 23:40:31 2014 pruned 59436 relations Thu Dec 11 23:40:31 2014 memory use: 90.4 MB Thu Dec 11 23:40:31 2014 distribution of cycle lengths: Thu Dec 11 23:40:31 2014 1 relations: 50106 Thu Dec 11 23:40:31 2014 2 relations: 48086 Thu Dec 11 23:40:31 2014 3 relations: 46929 Thu Dec 11 23:40:31 2014 4 relations: 41399 Thu Dec 11 23:40:31 2014 5 relations: 37701 Thu Dec 11 23:40:31 2014 6 relations: 31843 Thu Dec 11 23:40:31 2014 7 relations: 27842 Thu Dec 11 23:40:31 2014 8 relations: 23964 Thu Dec 11 23:40:31 2014 9 relations: 20820 Thu Dec 11 23:40:31 2014 10+ relations: 94904 Thu Dec 11 23:40:31 2014 heaviest cycle: 27 relations Thu Dec 11 23:40:32 2014 RelProcTime: 65 Thu Dec 11 23:40:32 2014 Thu Dec 11 23:40:32 2014 commencing linear algebra Thu Dec 11 23:40:32 2014 read 423594 cycles Thu Dec 11 23:40:32 2014 cycles contain 1509683 unique relations Thu Dec 11 23:40:39 2014 read 1509683 relations Thu Dec 11 23:40:40 2014 using 20 quadratic characters above 67108758 Thu Dec 11 23:40:45 2014 building initial matrix Thu Dec 11 23:40:56 2014 memory use: 188.0 MB Thu Dec 11 23:40:56 2014 read 423594 cycles Thu Dec 11 23:40:56 2014 matrix is 423416 x 423594 (126.6 MB) with weight 40309338 (95.16/col) Thu Dec 11 23:40:56 2014 sparse part has weight 28529789 (67.35/col) Thu Dec 11 23:40:58 2014 filtering completed in 2 passes Thu Dec 11 23:40:58 2014 matrix is 422812 x 422990 (126.6 MB) with weight 40283518 (95.24/col) Thu Dec 11 23:40:58 2014 sparse part has weight 28522218 (67.43/col) Thu Dec 11 23:40:59 2014 matrix starts at (0, 0) Thu Dec 11 23:40:59 2014 matrix is 422812 x 422990 (126.6 MB) with weight 40283518 (95.24/col) Thu Dec 11 23:40:59 2014 sparse part has weight 28522218 (67.43/col) Thu Dec 11 23:40:59 2014 saving the first 48 matrix rows for later Thu Dec 11 23:40:59 2014 matrix includes 64 packed rows Thu Dec 11 23:40:59 2014 matrix is 422764 x 422990 (122.3 MB) with weight 31910616 (75.44/col) Thu Dec 11 23:40:59 2014 sparse part has weight 27821588 (65.77/col) Thu Dec 11 23:40:59 2014 using block size 65536 for processor cache size 8192 kB Thu Dec 11 23:41:00 2014 commencing Lanczos iteration (8 threads) Thu Dec 11 23:41:00 2014 memory use: 115.8 MB Thu Dec 11 23:41:08 2014 linear algebra at 2.9%, ETA 0h 4m Thu Dec 11 23:45:30 2014 lanczos halted after 6688 iterations (dim = 422762) Thu Dec 11 23:45:30 2014 recovered 33 nontrivial dependencies Thu Dec 11 23:45:30 2014 BLanczosTime: 298 Thu Dec 11 23:45:30 2014 Thu Dec 11 23:45:30 2014 commencing square root phase Thu Dec 11 23:45:30 2014 reading relations for dependency 1 Thu Dec 11 23:45:30 2014 read 211781 cycles Thu Dec 11 23:45:30 2014 cycles contain 756118 unique relations Thu Dec 11 23:45:36 2014 read 756118 relations Thu Dec 11 23:45:37 2014 multiplying 756118 relations Thu Dec 11 23:45:50 2014 multiply complete, coefficients have about 32.21 million bits Thu Dec 11 23:45:50 2014 initial square root is modulo 1779189133 Thu Dec 11 23:46:08 2014 GCD is 1, no factor found Thu Dec 11 23:46:08 2014 reading relations for dependency 2 Thu Dec 11 23:46:08 2014 read 211548 cycles Thu Dec 11 23:46:08 2014 cycles contain 755190 unique relations Thu Dec 11 23:46:14 2014 read 755190 relations Thu Dec 11 23:46:15 2014 multiplying 755190 relations Thu Dec 11 23:46:30 2014 multiply complete, coefficients have about 32.17 million bits Thu Dec 11 23:46:31 2014 initial square root is modulo 1730068129 Thu Dec 11 23:46:49 2014 sqrtTime: 79 -- n: 86242468848693005379110149521194886577907192498139400884782222928044828148746975112238259632091569192391119 skew: 5806010.28 c0: 161655096571476381140492253175 c1: 279758751737042212698838 c2: 153114406673782817 c3: -13844510230 c4: 1200 Y0: -92073611943076861711311396 Y1: 14462201274983 rlim: 2780000 alim: 2780000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
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 19:45:19 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 19 秒 (日本時間)

91×10¹⁷¹-19

c165

name 名前	Ignacio Santos
date 日付	February 28, 2015 19:54:48 UTC 2015 年 3 月 1 日 (日) 4 時 54 分 48 秒 (日本時間)
composite number 合成数	100664461887073546912723886101241043588299390831000055554614730007918675867102020773917033494326449710481208882487425578943084854182255899860869434820119890953750411<165>
prime factors 素因数	217961065260481697726816102266362812503<39>
composite cofactor 合成数の残り	461846072218316137943422060038597849019240572468537044525611571311422626882803042621113167800976594028130380506338386989062637<126>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:289707040 Step 1 took 12406ms Step 2 took 7203ms ********** Factor found in step 2: 217961065260481697726816102266362812503 Found probable prime factor of 39 digits: 217961065260481697726816102266362812503 Composite cofactor 461846072218316137943422060038597849019240572468537044525611571311422626882803042621113167800976594028130380506338386989062637 has 126 digits
software ソフトウェア	GMP-ECM 7.0

c126

name 名前	Jo Yeong Uk
date 日付	April 25, 2015 22:29:32 UTC 2015 年 4 月 26 日 (日) 7 時 29 分 32 秒 (日本時間)
composite number 合成数	461846072218316137943422060038597849019240572468537044525611571311422626882803042621113167800976594028130380506338386989062637<126>
prime factors 素因数	2818567138355469888270567875658666569605562227<46> 163858460539558518503964030222671259905164581352111713226976571135790173728876831<81>
factorization results 素因数分解の結果	Number: 10111_171 N=461846072218316137943422060038597849019240572468537044525611571311422626882803042621113167800976594028130380506338386989062637 ( 126 digits) SNFS difficulty: 172 digits. Divisors found: r1=2818567138355469888270567875658666569605562227 r2=163858460539558518503964030222671259905164581352111713226976571135790173728876831 Version: Total time: 26.69 hours. Scaled time: 139.96 units (timescale=5.243). Factorization parameters were as follows: n: 461846072218316137943422060038597849019240572468537044525611571311422626882803042621113167800976594028130380506338386989062637 m: 10000000000000000000000000000000000 deg: 5 c5: 910 c0: -1 skew: 0.26 # Murphy_E = 1.771e-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, 6500001) Primes: rational ideals reading, algebraic ideals reading, Relations: 11344279 Max relations in full relation-set: Initial matrix: Pruned matrix : 1063097 x 1063345 Total sieving time: 24.42 hours. Total relation processing time: 0.97 hours. Matrix solve time: 1.15 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.4,2.4,100000 total time: 26.69 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	2630	280	Cyp	December 9, 2014 18:26:04 UTC 2014 年 12 月 10 日 (水) 3 時 26 分 4 秒 (日本時間)
40	3e6	2630	2350	Ignacio Santos	March 2, 2015 15:29:23 UTC 2015 年 3 月 3 日 (火) 0 時 29 分 23 秒 (日本時間)
45	11e6	0 / 3332		-	-
50	43e6	160 / 7453		Pierre Jammes	April 1, 2015 08:50:35 UTC 2015 年 4 月 1 日 (水) 17 時 50 分 35 秒 (日本時間)

91×10¹⁷²-19

c174

name 名前	Serge Batalov
date 日付	December 9, 2014 17:26:42 UTC 2014 年 12 月 10 日 (水) 2 時 26 分 42 秒 (日本時間)
composite number 合成数	101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<174>
prime factors 素因数	524053336484919283871391011251421295464744059387<48> 192940496838189278418305850744622405190388633528534629036168274252742353890997751390176601654850381247810752069418079546642853<126>
factorization results 素因数分解の結果	Divisors found: r1=524053336484919283871391011251421295464744059387 (pp48) r2=192940496838189278418305850744622405190388633528534629036168274252742353890997751390176601654850381247810752069418079546642853 (pp126) Version: Msieve v. 1.51 (SVN 719M) Total time: 38.65 hours. Scaled time: 92.77 units (timescale=2.400). Factorization parameters were as follows: n: 101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 m: 10000000000000000000000000000000000 deg: 5 c5: 9100 c0: -1 skew: 0.16 # Murphy_E = 1.59e-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 Max factor residue bits: 52/52 Sieved rational special-q in [2800000, 6300001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1092959 x 1093191 Total sieving time: 37.76 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.64 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,173.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000 total time: 38.65 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 19:27:29 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 29 秒 (日本時間)

91×10¹⁷⁴-19

c142

name 名前	Jo Yeong Uk
date 日付	May 9, 2015 23:06:24 UTC 2015 年 5 月 10 日 (日) 8 時 6 分 24 秒 (日本時間)
composite number 合成数	2627724351069484526347790657183922554660883889608570312858669093261810612636675995470893443217869235818523006572033254517533234190508828138089<142>
prime factors 素因数	154910927064790642342388717672176649836717<42> 16962808246383118500955455956614354886350740508703990383169983994381525992579769313603258599790236717<101>
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 2627724351069484526347790657183922554660883889608570312858669093261810612636675995470893443217869235818523006572033254517533234190508828138089 (142 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1521383968 Step 1 took 25167ms Step 2 took 8816ms ********** Factor found in step 2: 154910927064790642342388717672176649836717 Found probable prime factor of 42 digits: 154910927064790642342388717672176649836717 Probable prime cofactor 16962808246383118500955455956614354886350740508703990383169983994381525992579769313603258599790236717 has 101 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	2318	280	Cyp	December 9, 2014 07:15:37 UTC 2014 年 12 月 9 日 (火) 16 時 15 分 37 秒 (日本時間)
40	3e6	2318	2038	Kai Inouye	April 3, 2015 21:38:03 UTC 2015 年 4 月 4 日 (土) 6 時 38 分 3 秒 (日本時間)

91×10¹⁷⁵-19

c142

name 名前	Jo Yeong Uk
date 日付	May 21, 2015 22:03:11 UTC 2015 年 5 月 22 日 (金) 7 時 3 分 11 秒 (日本時間)
composite number 合成数	2958930784134949435367896767349988036602110987210646799731881849735687083165023645371921311748040522734342870517373528653604179006045688541677<142>
prime factors 素因数	378892022671410851445863380795084368635996911417<48> 7809430146543474307754490134561305983410713609619453385466161608646321508409867659707120925781<94>
factorization results 素因数分解の結果	Number: 10111_175 N=2958930784134949435367896767349988036602110987210646799731881849735687083165023645371921311748040522734342870517373528653604179006045688541677 ( 142 digits) SNFS difficulty: 176 digits. Divisors found: r1=378892022671410851445863380795084368635996911417 r2=7809430146543474307754490134561305983410713609619453385466161608646321508409867659707120925781 Version: Total time: 26.31 hours. Scaled time: 137.25 units (timescale=5.216). Factorization parameters were as follows: n: 2958930784134949435367896767349988036602110987210646799731881849735687083165023645371921311748040522734342870517373528653604179006045688541677 m: 100000000000000000000000000000000000 deg: 5 c5: 91 c0: -1 skew: 0.41 # Murphy_E = 1.669e-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, 6600001) Primes: rational ideals reading, algebraic ideals reading, Relations: 17441656 Max relations in full relation-set: Initial matrix: Pruned matrix : 1304076 x 1304324 Total sieving time: 23.04 hours. Total relation processing time: 1.27 hours. Matrix solve time: 1.92 hours. Time per square root: 0.09 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: 26.31 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	280	Cyp	December 7, 2014 10:02:21 UTC 2014 年 12 月 7 日 (日) 19 時 2 分 21 秒 (日本時間)
45	11e6	600 / 4413	KTakahashi	April 29, 2015 08:07:35 UTC 2015 年 4 月 29 日 (水) 17 時 7 分 35 秒 (日本時間)

91×10¹⁷⁶-19

c143

name 名前	Cyp
date 日付	January 28, 2015 05:50:44 UTC 2015 年 1 月 28 日 (水) 14 時 50 分 44 秒 (日本時間)
composite number 合成数	16736368854137500495569830312463299577968329057125742755935105909366593155822809487585422635595460844099147774355379546807351127026722581782883<143>
prime factors 素因数	16701101250045136573656489797313191<35>
composite cofactor 合成数の残り	1002111693328741935943407793940226798940589636314354740971955876793543754940324232932422117769736867152285413<109>
factorization results 素因数分解の結果	Run 169 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2970793077 Step 1 took 41765ms Step 2 took 14846ms ********** Factor found in step 2: 16701101250045136573656489797313191 Found probable prime factor of 35 digits: 16701101250045136573656489797313191 Composite cofactor 1002111693328741935943407793940226798940589636314354740971955876793543754940324232932422117769736867152285413 has 109 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

c109

name 名前	Dmitry Domanov
date 日付	January 29, 2015 09:25:09 UTC 2015 年 1 月 29 日 (木) 18 時 25 分 9 秒 (日本時間)
composite number 合成数	1002111693328741935943407793940226798940589636314354740971955876793543754940324232932422117769736867152285413<109>
prime factors 素因数	402913340816056828695188080321312128718442034245543<51> 2487164339853017753939825215433089328046906653445795987091<58>
factorization results 素因数分解の結果	N=1002111693328741935943407793940226798940589636314354740971955876793543754940324232932422117769736867152285413 ( 109 digits) Divisors found: r1=402913340816056828695188080321312128718442034245543 (pp51) r2=2487164339853017753939825215433089328046906653445795987091 (pp58) Version: Msieve v. 1.50 (SVN unknown) Total time: 11.66 hours. Scaled time: 23.54 units (timescale=2.018). Factorization parameters were as follows: n: 1002111693328741935943407793940226798940589636314354740971955876793543754940324232932422117769736867152285413 skew: 13992833.40 c0: -10029683696548286788597425552672 c1: 2503140134997161325801530 c2: -121118287719173621 c3: 9828357840 c4: 1188 Y0: -170421542778634754693693945 Y1: 81538162963183 rlim: 3060000 alim: 3060000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 3060000/3060000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [1530000, 3030001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 346534 x 346761 Total sieving time: 11.44 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.12 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,108,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3060000,3060000,26,26,52,52,2.5,2.5,100000 total time: 11.66 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	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 19:45:19 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 19 秒 (日本時間)
45	11e6	585 / 4409	Cyp	January 28, 2015 05:50:44 UTC 2015 年 1 月 28 日 (水) 14 時 50 分 44 秒 (日本時間)

91×10¹⁷⁷-19

c123

name 名前	Serge Batalov
date 日付	December 9, 2014 00:55:29 UTC 2014 年 12 月 9 日 (火) 9 時 55 分 29 秒 (日本時間)
composite number 合成数	603242985107289053365010564958374106548118880475161070836345398324066392805729997888252261667184413674298822169956602963027<123>
prime factors 素因数	139957316998785775803124891495011461<36> 4310192550436806340414069038954902039246337580794027660390635119680010361756594964674807<88>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3160017557 Step 1 took 9091ms Step 2 took 7782ms ********** Factor found in step 2: 139957316998785775803124891495011461 Found probable prime factor of 36 digits: 139957316998785775803124891495011461 Probable prime cofactor

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

91×10¹⁷⁸-19

c180

name 名前	Serge Batalov
date 日付	December 9, 2014 17:28:26 UTC 2014 年 12 月 10 日 (水) 2 時 28 分 26 秒 (日本時間)
composite number 合成数	101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<180>
prime factors 素因数	160592270483820470708943232903524939751049348027024936711615071<63> 629613808974062460717626971351597861194430566775029196258597139444249158234900890350535011007577552473245477795449241<117>
factorization results 素因数分解の結果	Divisors found: r1=160592270483820470708943232903524939751049348027024936711615071 (pp63) r2=629613808974062460717626971351597861194430566775029196258597139444249158234900890350535011007577552473245477795449241 (pp117) Version: Msieve v. 1.51 (SVN 719M) Total time: 71.81 hours. Scaled time: 172.34 units (timescale=2.400). Factorization parameters were as follows: n: 101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 m: 100000000000000000000000000000000000 deg: 5 c5: 91000 c0: -1 skew: 0.10 # Murphy_E = 8.083e-11 type: snfs lss: 1 rlim: 7000000 alim: 7000000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7000000/7000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3500000, 9600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1288316 x 1288544 Total sieving time: 70.52 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.92 hours. Time per square root: 0.23 hours. Prototype def-par.txt line would be: snfs,179.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000 total time: 71.81 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	2600	280	Cyp	December 6, 2014 19:35:21 UTC 2014 年 12 月 7 日 (日) 4 時 35 分 21 秒 (日本時間)
40	3e6	2600	2320	Serge Batalov	December 8, 2014 19:27:32 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 32 秒 (日本時間)

91×10¹⁷⁹-19

c179

name 名前	Serge Batalov
date 日付	December 8, 2014 19:50:52 UTC 2014 年 12 月 9 日 (火) 4 時 50 分 52 秒 (日本時間)
composite number 合成数	37448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893<179>
prime factors 素因数	121631814141408327029001689136774360803<39> 307884577198235734809325386929901023505082252372473190826631891249661432216068749219504799946473753373581170313085339525017614096354328799031<141>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=649731666 Step 1 took 13725ms Step 2 took 9709ms ********** Factor found in step 2: 121631814141408327029001689136774360803 Found probable prime factor of 39 digits: 121631814141408327029001689136774360803 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 19:27:33 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 33 秒 (日本時間)

91×10¹⁸⁰-19

c171

name 名前	Jo Yeong Uk
date 日付	January 6, 2016 11:36:29 UTC 2016 年 1 月 6 日 (水) 20 時 36 分 29 秒 (日本時間)
composite number 合成数	143363967662021517080458876685581139403818108204145241780879048035325910865477370702088745590118117989767782652549323848468338264537245871966503919326415895667181267480487<171>
prime factors 素因数	91277883962438513457720459100501218651290122811591502029623419641829162072413<77> 1570632024303026029001617321591902260015172252098628678400528790035529672629984206463081433299<94>
factorization results 素因数分解の結果	Number: 10111_180 N=143363967662021517080458876685581139403818108204145241780879048035325910865477370702088745590118117989767782652549323848468338264537245871966503919326415895667181267480487 ( 171 digits) SNFS difficulty: 181 digits. Divisors found: r1=91277883962438513457720459100501218651290122811591502029623419641829162072413 r2=1570632024303026029001617321591902260015172252098628678400528790035529672629984206463081433299 Version: Total time: 42.77 hours. Scaled time: 224.86 units (timescale=5.258). Factorization parameters were as follows: n: 143363967662021517080458876685581139403818108204145241780879048035325910865477370702088745590118117989767782652549323848468338264537245871966503919326415895667181267480487 m: 1000000000000000000000000000000000000 deg: 5 c5: 91 c0: -1 skew: 0.41 # Murphy_E = 1.048e-10 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [2900000, 4900001) Primes: rational ideals reading, algebraic ideals reading, Relations: 18062029 Max relations in full relation-set: Initial matrix: Pruned matrix : 1146197 x 1146445 Total sieving time: 40.30 hours. Total relation processing time: 0.96 hours. Matrix solve time: 1.36 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000 total time: 42.77 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 8, 2014 02:29:37 UTC 2014 年 12 月 8 日 (月) 11 時 29 分 37 秒 (日本時間)
45	11e6	600 / 4413	KTakahashi	May 20, 2015 09:10:23 UTC 2015 年 5 月 20 日 (水) 18 時 10 分 23 秒 (日本時間)

91×10¹⁸²-19

c175

name 名前	Serge Batalov
date 日付	December 11, 2014 01:31:11 UTC 2014 年 12 月 11 日 (木) 10 時 31 分 11 秒 (日本時間)
composite number 合成数	1452501171718728868078205485726074897861869384998284134029288958600198201254887046536083449826441249511055583938625567289835271486172784131294835791204659343729417015907923877<175>
prime factors 素因数	8812667285081782078913370264649241<34>
composite cofactor 合成数の残り	164819699272834804454528610304028112625170784500980255172953248732748213125166614605998847596295885125403492400664589853681457240184678047597<141>
factorization results 素因数分解の結果	Input number is 1452501171718728868078205485726074897861869384998284134029288958600198201254887046536083449826441249511055583938625567289835271486172784131294835791204659343729417015907923877 (175 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=742245074 Step 1 took 13201ms Step 2 took 9003ms ********** Factor found in step 2: 8812667285081782078913370264649241 Found probable prime factor of 34 digits: 8812667285081782078913370264649241 Composite cofactor 164819699272834804454528610304028112625170784500980255172953248732748213125166614605998847596295885125403492400664589853681457240184678047597 has 141 digits

c141

name 名前	Jo Yeong Uk
date 日付	March 13, 2016 00:29:59 UTC 2016 年 3 月 13 日 (日) 9 時 29 分 59 秒 (日本時間)
composite number 合成数	164819699272834804454528610304028112625170784500980255172953248732748213125166614605998847596295885125403492400664589853681457240184678047597<141>
prime factors 素因数	1474987184911239053290095264629409228427115441<46> 111743139844807011889727677863045453041994194683938780675033256491467370377530114706611406101117<96>
factorization results 素因数分解の結果	Number: 10111_182 N=164819699272834804454528610304028112625170784500980255172953248732748213125166614605998847596295885125403492400664589853681457240184678047597 ( 141 digits) SNFS difficulty: 183 digits. Divisors found: r1=1474987184911239053290095264629409228427115441 r2=111743139844807011889727677863045453041994194683938780675033256491467370377530114706611406101117 Version: Total time: 64.48 hours. Scaled time: 338.65 units (timescale=5.252). Factorization parameters were as follows: n: 164819699272834804454528610304028112625170784500980255172953248732748213125166614605998847596295885125403492400664589853681457240184678047597 m: 1000000000000000000000000000000000000 deg: 5 c5: 9100 c0: -1 skew: 0.16 # Murphy_E = 6.29e-11 type: snfs lss: 1 rlim: 6600000 alim: 6600000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6600000/6600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3300000, 6300001) Primes: rational ideals reading, algebraic ideals reading, Relations: 18355976 Max relations in full relation-set: Initial matrix: Pruned matrix : 1436560 x 1436807 Total sieving time: 60.16 hours. Total relation processing time: 1.43 hours. Matrix solve time: 2.52 hours. Time per square root: 0.37 hours. Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000 total time: 64.48 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49365468k/51380224k available (5397k kernel code, 1086460k absent, 928296k reserved, 7011k data, 1296k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.82 BogoMIPS (lpj=3399914) Total of 12 processors activated (81597.93 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 19:45:19 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 19 秒 (日本時間)
45	11e6	600 / 4409	KTakahashi	May 24, 2015 13:18:17 UTC 2015 年 5 月 24 日 (日) 22 時 18 分 17 秒 (日本時間)

91×10¹⁸³-19

c163

name 名前	KTakahashi
date 日付	May 30, 2015 09:00:18 UTC 2015 年 5 月 30 日 (土) 18 時 0 分 18 秒 (日本時間)
composite number 合成数	3058566992533883837321316302272804352010863650693994866878055903236753139276220456445420979039994531678626884245309556323263320395708000807769129086437750411620431<163>
prime factors 素因数	843202621069655968952974027172067773723<39>
composite cofactor 合成数の残り	3627321495578248734882505178326262060728540912635479782854485359024124219870437800855215308548346328985550173552779495039197<124>
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 3058566992533883837321316302272804352010863650693994866878055903236753139276220456445420979039994531678626884245309556323263320395708000807769129086437750411620431 (163 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3737449040 Step 1 took 50950ms Step 2 took 20342ms ********** Factor found in step 2: 843202621069655968952974027172067773723 Found probable prime factor of 39 digits: 843202621069655968952974027172067773723 Composite cofactor 3627321495578248734882505178326262060728540912635479782854485359024124219870437800855215308548346328985550173552779495039197 has 124 digits

c124

name 名前	Jo Yeong Uk
date 日付	June 1, 2015 21:03:25 UTC 2015 年 6 月 2 日 (火) 6 時 3 分 25 秒 (日本時間)
composite number 合成数	3627321495578248734882505178326262060728540912635479782854485359024124219870437800855215308548346328985550173552779495039197<124>
prime factors 素因数	5494568945215584383690677460051520296372376291627312047020997<61> 660164888591806994650645105348047336686878956973789984274860601<63>
factorization results 素因数分解の結果	Number: 10111_183 N=3627321495578248734882505178326262060728540912635479782854485359024124219870437800855215308548346328985550173552779495039197 ( 124 digits) Divisors found: r1=5494568945215584383690677460051520296372376291627312047020997 r2=660164888591806994650645105348047336686878956973789984274860601 Version: Total time: 31.83 hours. Scaled time: 164.57 units (timescale=5.170). Factorization parameters were as follows: name: 10111_183 n: 3627321495578248734882505178326262060728540912635479782854485359024124219870437800855215308548346328985550173552779495039197 skew: 65345.92 # norm 2.13e+17 c5: 701400 c4: -81626165996 c3: -7826045492871934 c2: 303863387727886449591 c1: 13374893089532888718282574 c0: -380208959985734474478090603760 # alpha -6.22 Y1: 35909592475823 Y0: -348919384680079126408881 # Murphy_E 1.63e-10 # M 1701925428372825689979438090056042031931744487349462168618480090937528520620881675067754814780207074220608382944607818498109 type: gnfs rlim: 6800000 alim: 6800000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 6800000/6800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved algebraic special-q in [3400000, 6400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 17914928 Max relations in full relation-set: Initial matrix: Pruned matrix : 1071141 x 1071389 Polynomial selection time: 4.53 hours. Total sieving time: 24.71 hours. Total relation processing time: 1.29 hours. Matrix solve time: 1.16 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6800000,6800000,28,28,54,54,2.5,2.5,100000 total time: 31.83 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	280	Cyp	December 10, 2014 02:51:55 UTC 2014 年 12 月 10 日 (水) 11 時 51 分 55 秒 (日本時間)
45	11e6	600 / 4413	KTakahashi	May 30, 2015 08:58:49 UTC 2015 年 5 月 30 日 (土) 17 時 58 分 49 秒 (日本時間)

91×10¹⁸⁴-19

c169

name 名前	KTakahashi
date 日付	June 2, 2015 22:14:14 UTC 2015 年 6 月 3 日 (水) 7 時 14 分 14 秒 (日本時間)
composite number 合成数	2623942077206716133843112721482977824493971792355752589888833300732927729736963549314500114975698890188147911603787036441353226021547021191646639451307099721220461219943<169>
prime factors 素因数	11405365576785143348602894888268546903191<41>
composite cofactor 合成数の残り	230062075567974273360998064826438032221325754322577831218154606219314045455636617630945058979115274537213046889196991217669457073<129>
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 2623942077206716133843112721482977824493971792355752589888833300732927729736963549314500114975698890188147911603787036441353226021547021191646639451307099721220461219943 (169 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=958170091 Step 1 took 52385ms Step 2 took 21138ms ********** Factor found in step 2: 11405365576785143348602894888268546903191 Found probable prime factor of 41 digits: 11405365576785143348602894888268546903191 Composite cofactor 230062075567974273360998064826438032221325754322577831218154606219314045455636617630945058979115274537213046889196991217669457073 has 129 digits

c129

name 名前	Serge Batalov
date 日付	June 5, 2015 16:04:23 UTC 2015 年 6 月 6 日 (土) 1 時 4 分 23 秒 (日本時間)
composite number 合成数	230062075567974273360998064826438032221325754322577831218154606219314045455636617630945058979115274537213046889196991217669457073<129>
prime factors 素因数	782596517354644039680172280952529293907939424357<48> 293972782227088008259004327441492771680569379573553128829130300020017616540624989<81>
factorization results 素因数分解の結果	Divisors found: r1=782596517354644039680172280952529293907939424357 (pp48) r2=293972782227088008259004327441492771680569379573553128829130300020017616540624989 (pp81) Version: Msieve v. 1.51 (SVN 719M) Total time: 44.57 hours. Scaled time: 106.96 units (timescale=2.400). Factorization parameters were as follows: name: test type: gnfs n: 230062075567974273360998064826438032221325754322577831218154606219314045455636617630945058979115274537213046889196991217669457073 skew: 1615692.76 Y0: -14491326849544575082433540 Y1: 9419945208163 c0: 477991944243968897741295902062971 c1: 3527818120798001157141869668 c2: -6353828892493624814588 c3: -6613211830741292 c4: 2260674801 c5: 360 Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved algebraic special-q in [3100000, 7600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1305488 x 1305721 Total sieving time: 43.12 hours. Total relation processing time: 0.14 hours. Matrix solve time: 1.17 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6200000,6200000,28,28,55,55,2.5,2.5,100000 total time: 44.57 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	280	Cyp	December 9, 2014 09:41:01 UTC 2014 年 12 月 9 日 (火) 18 時 41 分 1 秒 (日本時間)
45	11e6	600 / 4413	KTakahashi	June 3, 2015 13:45:27 UTC 2015 年 6 月 3 日 (水) 22 時 45 分 27 秒 (日本時間)

91×10¹⁸⁶-19

c140

name 名前	Serge Batalov
date 日付	December 11, 2014 01:31:15 UTC 2014 年 12 月 11 日 (木) 10 時 31 分 15 秒 (日本時間)
composite number 合成数	14929829975299268345276704769867268763269069449853933917671965989552716863812568468229382790478881444025767822532614154380530884599172472803<140>
prime factors 素因数	20462344745427610718602160896264064561<38>
composite cofactor 合成数の残り	729624593908544914820105678612518214962373882672898895760602852582780280836886949300915449890735203923<102>
factorization results 素因数分解の結果	Input number is 14929829975299268345276704769867268763269069449853933917671965989552716863812568468229382790478881444025767822532614154380530884599172472803 (140 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3876427795 Step 1 took 9153ms Step 2 took 7114ms ********** Factor found in step 2: 20462344745427610718602160896264064561 Found probable prime factor of 38 digits: 20462344745427610718602160896264064561 Composite cofactor 729624593908544914820105678612518214962373882672898895760602852582780280836886949300915449890735203923 has 102 digits

c102

name 名前	Cyp
date 日付	December 11, 2014 18:21:43 UTC 2014 年 12 月 12 日 (金) 3 時 21 分 43 秒 (日本時間)
composite number 合成数	729624593908544914820105678612518214962373882672898895760602852582780280836886949300915449890735203923<102>
prime factors 素因数	1784300212889751924121285159869529608670957544819<49> 408913583396869129102256569189080799822307497305818017<54>
factorization results 素因数分解の結果	12/11/14 18:37:49 v1.34.3, 12/11/14 18:37:49 v1.34.3, ************************** 12/11/14 18:37:49 v1.34.3, Starting factorization of 729624593908544914820105678612518214962373882672898895760602852582780280836886949300915449890735203923 12/11/14 18:37:49 v1.34.3, using pretesting plan: none 12/11/14 18:37:49 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/11/14 18:37:49 v1.34.3, ************************** 12/11/14 18:37:49 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C102 12/11/14 18:37:49 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C102 12/11/14 18:37:49 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C102 12/11/14 18:37:49 v1.34.3, final ECM pretested depth: 0.00 12/11/14 18:37:49 v1.34.3, scheduler: switching to sieve method 12/11/14 18:37:49 v1.34.3, nfs: commencing nfs on c102: 729624593908544914820105678612518214962373882672898895760602852582780280836886949300915449890735203923 12/11/14 18:37:49 v1.34.3, nfs: commencing poly selection with 8 threads 12/11/14 18:37:49 v1.34.3, nfs: setting deadline of 188 seconds 12/11/14 18:41:09 v1.34.3, nfs: completed 30 ranges of size 250 in 199.7893 seconds 12/11/14 18:41:09 v1.34.3, nfs: best poly = # norm 7.193637e-14 alpha -6.535742 e 9.654e-09 rroots 2 12/11/14 18:41:09 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 18:42:56 v1.34.3, nfs: commencing lattice sieving with 8 threads [15 lines snipped] 12/11/14 19:09:10 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 19:10:37 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 19:12:05 v1.34.3, nfs: commencing msieve filtering 12/11/14 19:12:50 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 19:14:23 v1.34.3, nfs: commencing msieve filtering 12/11/14 19:15:12 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 19:16:45 v1.34.3, nfs: commencing msieve filtering 12/11/14 19:17:53 v1.34.3, nfs: commencing msieve linear algebra 12/11/14 19:21:12 v1.34.3, nfs: commencing msieve sqrt 12/11/14 19:21:42 v1.34.3, prp49 = 1784300212889751924121285159869529608670957544819 12/11/14 19:21:42 v1.34.3, prp54 = 408913583396869129102256569189080799822307497305818017 12/11/14 19:21:42 v1.34.3, NFS elapsed time = 2632.6146 seconds. 12/11/14 19:21:42 v1.34.3, 12/11/14 19:21:42 v1.34.3, 12/11/14 19:21:42 v1.34.3, Total factoring time = 2632.6397 seconds -- Thu Dec 11 19:12:05 2014 Thu Dec 11 19:12:05 2014 commencing relation filtering Thu Dec 11 19:12:05 2014 estimated available RAM is 15987.3 MB Thu Dec 11 19:12:05 2014 commencing duplicate removal, pass 1 Thu Dec 11 19:12:20 2014 found 436871 hash collisions in 4556529 relations Thu Dec 11 19:12:23 2014 added 156666 free relations Thu Dec 11 19:12:23 2014 commencing duplicate removal, pass 2 Thu Dec 11 19:12:27 2014 found 201530 duplicates and 4511665 unique relations Thu Dec 11 19:12:27 2014 memory use: 20.6 MB Thu Dec 11 19:12:27 2014 reading ideals above 100000 Thu Dec 11 19:12:27 2014 commencing singleton removal, initial pass Thu Dec 11 19:12:47 2014 memory use: 172.2 MB Thu Dec 11 19:12:47 2014 reading all ideals from disk Thu Dec 11 19:12:47 2014 memory use: 141.7 MB Thu Dec 11 19:12:48 2014 keeping 5382363 ideals with weight <= 200, target excess is 22481 Thu Dec 11 19:12:48 2014 commencing in-memory singleton removal Thu Dec 11 19:12:48 2014 begin with 4511665 relations and 5382363 unique ideals Thu Dec 11 19:12:50 2014 reduce to 1039779 relations and 1092095 ideals in 27 passes Thu Dec 11 19:12:50 2014 max relations containing the same ideal: 71 Thu Dec 11 19:14:23 2014 Thu Dec 11 19:14:23 2014 commencing relation filtering Thu Dec 11 19:14:23 2014 estimated available RAM is 15987.3 MB Thu Dec 11 19:14:23 2014 commencing duplicate removal, pass 1 Thu Dec 11 19:14:39 2014 found 500889 hash collisions in 4976551 relations Thu Dec 11 19:14:43 2014 added 1095 free relations Thu Dec 11 19:14:43 2014 commencing duplicate removal, pass 2 Thu Dec 11 19:14:47 2014 found 222833 duplicates and 4754813 unique relations Thu Dec 11 19:14:47 2014 memory use: 20.6 MB Thu Dec 11 19:14:47 2014 reading ideals above 100000 Thu Dec 11 19:14:47 2014 commencing singleton removal, initial pass Thu Dec 11 19:15:09 2014 memory use: 172.2 MB Thu Dec 11 19:15:09 2014 reading all ideals from disk Thu Dec 11 19:15:09 2014 memory use: 149.4 MB Thu Dec 11 19:15:09 2014 keeping 5498353 ideals with weight <= 200, target excess is 23675 Thu Dec 11 19:15:10 2014 commencing in-memory singleton removal Thu Dec 11 19:15:10 2014 begin with 4754813 relations and 5498353 unique ideals Thu Dec 11 19:15:12 2014 reduce to 1365557 relations and 1354943 ideals in 26 passes Thu Dec 11 19:15:12 2014 max relations containing the same ideal: 87 Thu Dec 11 19:16:45 2014 Thu Dec 11 19:16:45 2014 commencing relation filtering Thu Dec 11 19:16:45 2014 estimated available RAM is 15987.3 MB Thu Dec 11 19:16:45 2014 commencing duplicate removal, pass 1 Thu Dec 11 19:17:04 2014 found 547263 hash collisions in 5229479 relations Thu Dec 11 19:17:08 2014 added 854 free relations Thu Dec 11 19:17:08 2014 commencing duplicate removal, pass 2 Thu Dec 11 19:17:12 2014 found 244142 duplicates and 4986191 unique relations Thu Dec 11 19:17:12 2014 memory use: 20.6 MB Thu Dec 11 19:17:12 2014 reading ideals above 100000 Thu Dec 11 19:17:12 2014 commencing singleton removal, initial pass Thu Dec 11 19:17:35 2014 memory use: 172.2 MB Thu Dec 11 19:17:36 2014 reading all ideals from disk Thu Dec 11 19:17:36 2014 memory use: 156.7 MB Thu Dec 11 19:17:36 2014 keeping 5602733 ideals with weight <= 200, target excess is 24979 Thu Dec 11 19:17:36 2014 commencing in-memory singleton removal Thu Dec 11 19:17:37 2014 begin with 4986191 relations and 5602733 unique ideals Thu Dec 11 19:17:40 2014 reduce to 1666352 relations and 1583887 ideals in 20 passes Thu Dec 11 19:17:40 2014 max relations containing the same ideal: 101 Thu Dec 11 19:17:40 2014 removing 261626 relations and 234881 ideals in 26745 cliques Thu Dec 11 19:17:40 2014 commencing in-memory singleton removal Thu Dec 11 19:17:40 2014 begin with 1404726 relations and 1583887 unique ideals Thu Dec 11 19:17:41 2014 reduce to 1367987 relations and 1311418 ideals in 9 passes Thu Dec 11 19:17:41 2014 max relations containing the same ideal: 86 Thu Dec 11 19:17:42 2014 removing 192134 relations and 165389 ideals in 26745 cliques Thu Dec 11 19:17:42 2014 commencing in-memory singleton removal Thu Dec 11 19:17:42 2014 begin with 1175853 relations and 1311418 unique ideals Thu Dec 11 19:17:42 2014 reduce to 1151199 relations and 1120909 ideals in 9 passes Thu Dec 11 19:17:42 2014 max relations containing the same ideal: 76 Thu Dec 11 19:17:43 2014 relations with 0 large ideals: 436 Thu Dec 11 19:17:43 2014 relations with 1 large ideals: 518 Thu Dec 11 19:17:43 2014 relations with 2 large ideals: 5546 Thu Dec 11 19:17:43 2014 relations with 3 large ideals: 36837 Thu Dec 11 19:17:43 2014 relations with 4 large ideals: 135464 Thu Dec 11 19:17:43 2014 relations with 5 large ideals: 295421 Thu Dec 11 19:17:43 2014 relations with 6 large ideals: 344518 Thu Dec 11 19:17:43 2014 relations with 7+ large ideals: 332459 Thu Dec 11 19:17:43 2014 commencing 2-way merge Thu Dec 11 19:17:43 2014 reduce to 639251 relation sets and 608962 unique ideals Thu Dec 11 19:17:43 2014 ignored 1 oversize relation sets Thu Dec 11 19:17:43 2014 commencing full merge Thu Dec 11 19:17:50 2014 memory use: 65.3 MB Thu Dec 11 19:17:50 2014 found 304709 cycles, need 301162 Thu Dec 11 19:17:50 2014 weight of 301162 cycles is about 21090417 (70.03/cycle) Thu Dec 11 19:17:50 2014 distribution of cycle lengths: Thu Dec 11 19:17:50 2014 1 relations: 33040 Thu Dec 11 19:17:50 2014 2 relations: 32464 Thu Dec 11 19:17:50 2014 3 relations: 31204 Thu Dec 11 19:17:50 2014 4 relations: 28248 Thu Dec 11 19:17:50 2014 5 relations: 25913 Thu Dec 11 19:17:50 2014 6 relations: 22569 Thu Dec 11 19:17:50 2014 7 relations: 19959 Thu Dec 11 19:17:50 2014 8 relations: 17425 Thu Dec 11 19:17:50 2014 9 relations: 15360 Thu Dec 11 19:17:50 2014 10+ relations: 74980 Thu Dec 11 19:17:50 2014 heaviest cycle: 26 relations Thu Dec 11 19:17:50 2014 commencing cycle optimization Thu Dec 11 19:17:50 2014 start with 2010017 relations Thu Dec 11 19:17:52 2014 pruned 41731 relations Thu Dec 11 19:17:52 2014 memory use: 66.2 MB Thu Dec 11 19:17:52 2014 distribution of cycle lengths: Thu Dec 11 19:17:52 2014 1 relations: 33040 Thu Dec 11 19:17:52 2014 2 relations: 33071 Thu Dec 11 19:17:52 2014 3 relations: 32155 Thu Dec 11 19:17:52 2014 4 relations: 28731 Thu Dec 11 19:17:52 2014 5 relations: 26457 Thu Dec 11 19:17:52 2014 6 relations: 22905 Thu Dec 11 19:17:52 2014 7 relations: 20162 Thu Dec 11 19:17:52 2014 8 relations: 17464 Thu Dec 11 19:17:52 2014 9 relations: 15359 Thu Dec 11 19:17:52 2014 10+ relations: 71818 Thu Dec 11 19:17:52 2014 heaviest cycle: 25 relations Thu Dec 11 19:17:53 2014 RelProcTime: 68 Thu Dec 11 19:17:53 2014 Thu Dec 11 19:17:53 2014 commencing linear algebra Thu Dec 11 19:17:53 2014 read 301162 cycles Thu Dec 11 19:17:53 2014 cycles contain 1105370 unique relations Thu Dec 11 19:17:59 2014 read 1105370 relations Thu Dec 11 19:18:00 2014 using 20 quadratic characters above 67107458 Thu Dec 11 19:18:03 2014 building initial matrix Thu Dec 11 19:18:10 2014 memory use: 132.1 MB Thu Dec 11 19:18:11 2014 read 301162 cycles Thu Dec 11 19:18:11 2014 matrix is 300995 x 301162 (90.9 MB) with weight 28703549 (95.31/col) Thu Dec 11 19:18:11 2014 sparse part has weight 20220623 (67.14/col) Thu Dec 11 19:18:12 2014 filtering completed in 2 passes Thu Dec 11 19:18:12 2014 matrix is 300287 x 300464 (90.9 MB) with weight 28672455 (95.43/col) Thu Dec 11 19:18:12 2014 sparse part has weight 20210458 (67.26/col) Thu Dec 11 19:18:13 2014 matrix starts at (0, 0) Thu Dec 11 19:18:13 2014 matrix is 300287 x 300464 (90.9 MB) with weight 28672455 (95.43/col) Thu Dec 11 19:18:13 2014 sparse part has weight 20210458 (67.26/col) Thu Dec 11 19:18:13 2014 saving the first 48 matrix rows for later Thu Dec 11 19:18:13 2014 matrix includes 64 packed rows Thu Dec 11 19:18:13 2014 matrix is 300239 x 300464 (86.8 MB) with weight 22791377 (75.85/col) Thu Dec 11 19:18:13 2014 sparse part has weight 19760222 (65.77/col) Thu Dec 11 19:18:13 2014 using block size 65536 for processor cache size 8192 kB Thu Dec 11 19:18:14 2014 commencing Lanczos iteration (8 threads) Thu Dec 11 19:18:14 2014 memory use: 81.6 MB Thu Dec 11 19:18:21 2014 linear algebra at 4.0%, ETA 0h 2m Thu Dec 11 19:21:12 2014 lanczos halted after 4749 iterations (dim = 300235) Thu Dec 11 19:21:12 2014 recovered 28 nontrivial dependencies Thu Dec 11 19:21:12 2014 BLanczosTime: 199 Thu Dec 11 19:21:12 2014 Thu Dec 11 19:21:12 2014 commencing square root phase Thu Dec 11 19:21:12 2014 reading relations for dependency 1 Thu Dec 11 19:21:12 2014 read 150282 cycles Thu Dec 11 19:21:12 2014 cycles contain 552150 unique relations Thu Dec 11 19:21:17 2014 read 552150 relations Thu Dec 11 19:21:18 2014 multiplying 552150 relations Thu Dec 11 19:21:28 2014 multiply complete, coefficients have about 22.52 million bits Thu Dec 11 19:21:28 2014 initial square root is modulo 2942399 Thu Dec 11 19:21:42 2014 sqrtTime: 30 -- n: 729624593908544914820105678612518214962373882672898895760602852582780280836886949300915449890735203923 skew: 7456752.94 c0: 385818938197868185233230221920 c1: 261348892051428940749924 c2: -46623784141063607 c3: -2741944390 c4: 696 Y0: -5690160617091349918299757 Y1: 26194342229627 rlim: 2080000 alim: 2080000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	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 19:45:20 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 20 秒 (日本時間)

91×10¹⁸⁷-19

c111

name 名前	Cyp
date 日付	December 11, 2014 08:22:34 UTC 2014 年 12 月 11 日 (木) 17 時 22 分 34 秒 (日本時間)
composite number 合成数	209127266791529988221306948313638207970669834602611765478862114036607873241150015224899440198815419791744415613<111>
prime factors 素因数	6373016690859071832106031315776097300810529556972447<52> 32814485970432942274166468507563014654386604384890129370979<59>
factorization results 素因数分解の結果	12/11/14 07:28:16 v1.34.3, 12/11/14 07:28:16 v1.34.3, ************************** 12/11/14 07:28:16 v1.34.3, Starting factorization of 209127266791529988221306948313638207970669834602611765478862114036607873241150015224899440198815419791744415613 12/11/14 07:28:16 v1.34.3, using pretesting plan: none 12/11/14 07:28:16 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/11/14 07:28:16 v1.34.3, ************************** 12/11/14 07:28:16 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C111 12/11/14 07:28:16 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C111 12/11/14 07:28:16 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C111 12/11/14 07:28:16 v1.34.3, final ECM pretested depth: 0.00 12/11/14 07:28:16 v1.34.3, scheduler: switching to sieve method 12/11/14 07:28:16 v1.34.3, nfs: commencing nfs on c111: 209127266791529988221306948313638207970669834602611765478862114036607873241150015224899440198815419791744415613 12/11/14 07:28:16 v1.34.3, nfs: commencing poly selection with 8 threads 12/11/14 07:28:16 v1.34.3, nfs: setting deadline of 500 seconds 12/11/14 07:36:48 v1.34.3, nfs: completed 124 ranges of size 250 in 511.5677 seconds 12/11/14 07:36:48 v1.34.3, nfs: best poly = # norm 1.559327e-10 alpha -5.407911 e 8.853e-10 rroots 5 12/11/14 07:36:48 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 07:42:25 v1.34.3, nfs: commencing lattice sieving with 8 threads [11 lines snipped] 12/11/14 08:45:26 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 08:50:35 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 08:55:47 v1.34.3, nfs: commencing msieve filtering 12/11/14 08:56:30 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 09:01:51 v1.34.3, nfs: commencing msieve filtering 12/11/14 09:02:37 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 09:07:52 v1.34.3, nfs: commencing msieve filtering 12/11/14 09:08:42 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/11/14 09:14:05 v1.34.3, nfs: commencing msieve filtering 12/11/14 09:15:13 v1.34.3, nfs: commencing msieve linear algebra 12/11/14 09:20:47 v1.34.3, nfs: commencing msieve sqrt 12/11/14 09:22:33 v1.34.3, prp52 = 6373016690859071832106031315776097300810529556972447 12/11/14 09:22:33 v1.34.3, prp59 = 32814485970432942274166468507563014654386604384890129370979 12/11/14 09:22:33 v1.34.3, NFS elapsed time = 6856.7842 seconds. 12/11/14 09:22:33 v1.34.3, 12/11/14 09:22:33 v1.34.3, 12/11/14 09:22:33 v1.34.3, Total factoring time = 6856.8073 seconds -- Thu Dec 11 08:55:47 2014 Thu Dec 11 08:55:47 2014 commencing relation filtering Thu Dec 11 08:55:47 2014 estimated available RAM is 15987.3 MB Thu Dec 11 08:55:47 2014 commencing duplicate removal, pass 1 Thu Dec 11 08:56:01 2014 found 428062 hash collisions in 4602975 relations Thu Dec 11 08:56:06 2014 added 32859 free relations Thu Dec 11 08:56:06 2014 commencing duplicate removal, pass 2 Thu Dec 11 08:56:09 2014 found 183882 duplicates and 4451952 unique relations Thu Dec 11 08:56:09 2014 memory use: 20.6 MB Thu Dec 11 08:56:09 2014 reading ideals above 100000 Thu Dec 11 08:56:09 2014 commencing singleton removal, initial pass Thu Dec 11 08:56:28 2014 memory use: 172.2 MB Thu Dec 11 08:56:28 2014 reading all ideals from disk Thu Dec 11 08:56:28 2014 memory use: 150.3 MB Thu Dec 11 08:56:29 2014 keeping 5418749 ideals with weight <= 200, target excess is 24380 Thu Dec 11 08:56:29 2014 commencing in-memory singleton removal Thu Dec 11 08:56:29 2014 begin with 4451952 relations and 5418749 unique ideals Thu Dec 11 08:56:30 2014 reduce to 81 relations and 0 ideals in 62 passes Thu Dec 11 08:56:30 2014 max relations containing the same ideal: 0 Thu Dec 11 09:01:51 2014 Thu Dec 11 09:01:51 2014 commencing relation filtering Thu Dec 11 09:01:51 2014 estimated available RAM is 15987.3 MB Thu Dec 11 09:01:51 2014 commencing duplicate removal, pass 1 Thu Dec 11 09:02:06 2014 found 483985 hash collisions in 4939487 relations Thu Dec 11 09:02:11 2014 added 70 free relations Thu Dec 11 09:02:11 2014 commencing duplicate removal, pass 2 Thu Dec 11 09:02:14 2014 found 206850 duplicates and 4732707 unique relations Thu Dec 11 09:02:14 2014 memory use: 20.6 MB Thu Dec 11 09:02:14 2014 reading ideals above 100000 Thu Dec 11 09:02:14 2014 commencing singleton removal, initial pass Thu Dec 11 09:02:35 2014 memory use: 172.2 MB Thu Dec 11 09:02:35 2014 reading all ideals from disk Thu Dec 11 09:02:35 2014 memory use: 159.8 MB Thu Dec 11 09:02:35 2014 keeping 5555144 ideals with weight <= 200, target excess is 25416 Thu Dec 11 09:02:35 2014 commencing in-memory singleton removal Thu Dec 11 09:02:35 2014 begin with 4732707 relations and 5555144 unique ideals Thu Dec 11 09:02:37 2014 reduce to 1180915 relations and 1295305 ideals in 30 passes Thu Dec 11 09:02:37 2014 max relations containing the same ideal: 80 Thu Dec 11 09:07:52 2014 Thu Dec 11 09:07:52 2014 commencing relation filtering Thu Dec 11 09:07:52 2014 estimated available RAM is 15987.3 MB Thu Dec 11 09:07:52 2014 commencing duplicate removal, pass 1 Thu Dec 11 09:08:08 2014 found 538473 hash collisions in 5242347 relations Thu Dec 11 09:08:13 2014 added 52 free relations Thu Dec 11 09:08:13 2014 commencing duplicate removal, pass 2 Thu Dec 11 09:08:17 2014 found 230916 duplicates and 5011483 unique relations Thu Dec 11 09:08:17 2014 memory use: 20.6 MB Thu Dec 11 09:08:17 2014 reading ideals above 100000 Thu Dec 11 09:08:17 2014 commencing singleton removal, initial pass Thu Dec 11 09:08:39 2014 memory use: 172.2 MB Thu Dec 11 09:08:39 2014 reading all ideals from disk Thu Dec 11 09:08:39 2014 memory use: 169.3 MB Thu Dec 11 09:08:39 2014 keeping 5680949 ideals with weight <= 200, target excess is 26557 Thu Dec 11 09:08:40 2014 commencing in-memory singleton removal Thu Dec 11 09:08:40 2014 begin with 5011483 relations and 5680949 unique ideals Thu Dec 11 09:08:42 2014 reduce to 1610538 relations and 1646068 ideals in 22 passes Thu Dec 11 09:08:42 2014 max relations containing the same ideal: 95 Thu Dec 11 09:14:05 2014 Thu Dec 11 09:14:05 2014 commencing relation filtering Thu Dec 11 09:14:05 2014 estimated available RAM is 15987.3 MB Thu Dec 11 09:14:05 2014 commencing duplicate removal, pass 1 Thu Dec 11 09:14:22 2014 found 596454 hash collisions in 5552703 relations Thu Dec 11 09:14:27 2014 added 38 free relations Thu Dec 11 09:14:27 2014 commencing duplicate removal, pass 2 Thu Dec 11 09:14:31 2014 found 256676 duplicates and 5296065 unique relations Thu Dec 11 09:14:31 2014 memory use: 20.6 MB Thu Dec 11 09:14:31 2014 reading ideals above 100000 Thu Dec 11 09:14:31 2014 commencing singleton removal, initial pass Thu Dec 11 09:14:55 2014 memory use: 172.2 MB Thu Dec 11 09:14:56 2014 reading all ideals from disk Thu Dec 11 09:14:56 2014 memory use: 179.0 MB Thu Dec 11 09:14:56 2014 keeping 5800534 ideals with weight <= 200, target excess is 27885 Thu Dec 11 09:14:57 2014 commencing in-memory singleton removal Thu Dec 11 09:14:57 2014 begin with 5296065 relations and 5800534 unique ideals Thu Dec 11 09:14:59 2014 reduce to 2017994 relations and 1954085 ideals in 20 passes Thu Dec 11 09:14:59 2014 max relations containing the same ideal: 103 Thu Dec 11 09:14:59 2014 removing 191809 relations and 176028 ideals in 15781 cliques Thu Dec 11 09:14:59 2014 commencing in-memory singleton removal Thu Dec 11 09:14:59 2014 begin with 1826185 relations and 1954085 unique ideals Thu Dec 11 09:15:00 2014 reduce to 1809981 relations and 1761662 ideals in 11 passes Thu Dec 11 09:15:00 2014 max relations containing the same ideal: 97 Thu Dec 11 09:15:00 2014 removing 140567 relations and 124786 ideals in 15781 cliques Thu Dec 11 09:15:00 2014 commencing in-memory singleton removal Thu Dec 11 09:15:00 2014 begin with 1669414 relations and 1761662 unique ideals Thu Dec 11 09:15:01 2014 reduce to 1659674 relations and 1627047 ideals in 8 passes Thu Dec 11 09:15:01 2014 max relations containing the same ideal: 90 Thu Dec 11 09:15:01 2014 relations with 0 large ideals: 84 Thu Dec 11 09:15:01 2014 relations with 1 large ideals: 172 Thu Dec 11 09:15:01 2014 relations with 2 large ideals: 2684 Thu Dec 11 09:15:01 2014 relations with 3 large ideals: 24135 Thu Dec 11 09:15:01 2014 relations with 4 large ideals: 116161 Thu Dec 11 09:15:01 2014 relations with 5 large ideals: 312085 Thu Dec 11 09:15:01 2014 relations with 6 large ideals: 485330 Thu Dec 11 09:15:01 2014 relations with 7+ large ideals: 719023 Thu Dec 11 09:15:01 2014 commencing 2-way merge Thu Dec 11 09:15:02 2014 reduce to 933894 relation sets and 901267 unique ideals Thu Dec 11 09:15:02 2014 commencing full merge Thu Dec 11 09:15:09 2014 memory use: 99.0 MB Thu Dec 11 09:15:10 2014 found 456661 cycles, need 453467 Thu Dec 11 09:15:10 2014 weight of 453467 cycles is about 31850439 (70.24/cycle) Thu Dec 11 09:15:10 2014 distribution of cycle lengths: Thu Dec 11 09:15:10 2014 1 relations: 54250 Thu Dec 11 09:15:10 2014 2 relations: 53062 Thu Dec 11 09:15:10 2014 3 relations: 52770 Thu Dec 11 09:15:10 2014 4 relations: 46384 Thu Dec 11 09:15:10 2014 5 relations: 40891 Thu Dec 11 09:15:10 2014 6 relations: 34172 Thu Dec 11 09:15:10 2014 7 relations: 30040 Thu Dec 11 09:15:10 2014 8 relations: 25001 Thu Dec 11 09:15:10 2014 9 relations: 21099 Thu Dec 11 09:15:10 2014 10+ relations: 95798 Thu Dec 11 09:15:10 2014 heaviest cycle: 25 relations Thu Dec 11 09:15:10 2014 commencing cycle optimization Thu Dec 11 09:15:10 2014 start with 2815682 relations Thu Dec 11 09:15:12 2014 pruned 53918 relations Thu Dec 11 09:15:12 2014 memory use: 95.4 MB Thu Dec 11 09:15:12 2014 distribution of cycle lengths: Thu Dec 11 09:15:12 2014 1 relations: 54250 Thu Dec 11 09:15:12 2014 2 relations: 54166 Thu Dec 11 09:15:12 2014 3 relations: 54258 Thu Dec 11 09:15:12 2014 4 relations: 47194 Thu Dec 11 09:15:12 2014 5 relations: 41514 Thu Dec 11 09:15:12 2014 6 relations: 34427 Thu Dec 11 09:15:12 2014 7 relations: 30221 Thu Dec 11 09:15:12 2014 8 relations: 24810 Thu Dec 11 09:15:12 2014 9 relations: 20951 Thu Dec 11 09:15:12 2014 10+ relations: 91676 Thu Dec 11 09:15:12 2014 heaviest cycle: 25 relations Thu Dec 11 09:15:13 2014 RelProcTime: 68 Thu Dec 11 09:15:13 2014 Thu Dec 11 09:15:13 2014 commencing linear algebra Thu Dec 11 09:15:13 2014 read 453467 cycles Thu Dec 11 09:15:13 2014 cycles contain 1617114 unique relations Thu Dec 11 09:15:21 2014 read 1617114 relations Thu Dec 11 09:15:21 2014 using 20 quadratic characters above 67108634 Thu Dec 11 09:15:26 2014 building initial matrix Thu Dec 11 09:15:34 2014 memory use: 201.8 MB Thu Dec 11 09:15:34 2014 read 453467 cycles Thu Dec 11 09:15:35 2014 matrix is 453289 x 453467 (136.2 MB) with weight 43134081 (95.12/col) Thu Dec 11 09:15:35 2014 sparse part has weight 30727434 (67.76/col) Thu Dec 11 09:15:36 2014 filtering completed in 2 passes Thu Dec 11 09:15:36 2014 matrix is 452568 x 452746 (136.2 MB) with weight 43103675 (95.20/col) Thu Dec 11 09:15:36 2014 sparse part has weight 30718324 (67.85/col) Thu Dec 11 09:15:37 2014 matrix starts at (0, 0) Thu Dec 11 09:15:37 2014 matrix is 452568 x 452746 (136.2 MB) with weight 43103675 (95.20/col) Thu Dec 11 09:15:37 2014 sparse part has weight 30718324 (67.85/col) Thu Dec 11 09:15:37 2014 saving the first 48 matrix rows for later Thu Dec 11 09:15:37 2014 matrix includes 64 packed rows Thu Dec 11 09:15:37 2014 matrix is 452520 x 452746 (131.4 MB) with weight 34090752 (75.30/col) Thu Dec 11 09:15:37 2014 sparse part has weight 29916960 (66.08/col) Thu Dec 11 09:15:37 2014 using block size 65536 for processor cache size 8192 kB Thu Dec 11 09:15:39 2014 commencing Lanczos iteration (8 threads) Thu Dec 11 09:15:39 2014 memory use: 124.9 MB Thu Dec 11 09:15:47 2014 linear algebra at 2.7%, ETA 0h 4m Thu Dec 11 09:20:46 2014 lanczos halted after 7156 iterations (dim = 452520) Thu Dec 11 09:20:47 2014 recovered 32 nontrivial dependencies Thu Dec 11 09:20:47 2014 BLanczosTime: 334 Thu Dec 11 09:20:47 2014 Thu Dec 11 09:20:47 2014 commencing square root phase Thu Dec 11 09:20:47 2014 reading relations for dependency 1 Thu Dec 11 09:20:47 2014 read 226475 cycles Thu Dec 11 09:20:47 2014 cycles contain 808534 unique relations Thu Dec 11 09:20:52 2014 read 808534 relations Thu Dec 11 09:20:54 2014 multiplying 808534 relations Thu Dec 11 09:21:14 2014 multiply complete, coefficients have about 30.75 million bits Thu Dec 11 09:21:14 2014 initial square root is modulo 677479163 Thu Dec 11 09:21:40 2014 GCD is N, no factor found Thu Dec 11 09:21:40 2014 reading relations for dependency 2 Thu Dec 11 09:21:40 2014 read 226081 cycles Thu Dec 11 09:21:40 2014 cycles contain 807948 unique relations Thu Dec 11 09:21:46 2014 read 807948 relations Thu Dec 11 09:21:47 2014 multiplying 807948 relations Thu Dec 11 09:22:08 2014 multiply complete, coefficients have about 30.73 million bits Thu Dec 11 09:22:08 2014 initial square root is modulo 666331937 Thu Dec 11 09:22:33 2014 sqrtTime: 106 -- n: 209127266791529988221306948313638207970669834602611765478862114036607873241150015224899440198815419791744415613 skew: 151864.16 c0: -772860108390226525561948055 c1: 47173868121862737404437 c2: 2902811722322602572 c3: 4022842716401 c4: -106294459 c5: 84 Y0: -4777796793075866538336 Y1: 60836028517 rlim: 3460000 alim: 3460000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	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 8, 2014 22:31:42 UTC 2014 年 12 月 9 日 (火) 7 時 31 分 42 秒 (日本時間)
40	3e6	110 / 2126		Ignacio Santos	December 8, 2014 22:31:42 UTC 2014 年 12 月 9 日 (火) 7 時 31 分 42 秒 (日本時間)
45	11e6	32 / 4437		Ignacio Santos	December 8, 2014 22:31:42 UTC 2014 年 12 月 9 日 (火) 7 時 31 分 42 秒 (日本時間)

91×10¹⁸⁸-19

c189

name 名前	Serge Batalov
date 日付	December 8, 2014 19:40:09 UTC 2014 年 12 月 9 日 (火) 4 時 40 分 9 秒 (日本時間)
composite number 合成数	112345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679<189>
prime factors 素因数	54066864743751578384427445081<29> 1515271618307922088513810647425829923<37>
composite cofactor 合成数の残り	1371307017409506762773757357120026475937180395001011701504815954198108219261312122995044530245450862512057288604983372775533<124>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3738589612 Step 1 took 13802ms Step 2 took 9959ms ******** Factor found in step 2: 54066864743751578384427445081 Found probable prime factor of 29 digits: 54066864743751578384427445081 Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2175475682 Step 1 took 13736ms Step 2 took 9996ms ******** Factor found in step 2: 1515271618307922088513810647425829923 Found probable prime factor of 37 digits: 1515271618307922088513810647425829923

c124

name 名前	Erik Branger
date 日付	December 17, 2014 15:52:09 UTC 2014 年 12 月 18 日 (木) 0 時 52 分 9 秒 (日本時間)
composite number 合成数	1371307017409506762773757357120026475937180395001011701504815954198108219261312122995044530245450862512057288604983372775533<124>
prime factors 素因数	1495415513216923404401862207791120857157<40> 917007350324702968679041438767722935185084246542354526558287598168791737330703388169<84>
factorization results 素因数分解の結果	Number: 10111_188 N = 1371307017409506762773757357120026475937180395001011701504815954198108219261312122995044530245450862512057288604983372775533 (124 digits) Divisors found: r1=1495415513216923404401862207791120857157 (pp40) r2=917007350324702968679041438767722935185084246542354526558287598168791737330703388169 (pp84) Version: Msieve v. 1.51 (SVN 845) Total time: 33.68 hours. Factorization parameters were as follows: n: 1371307017409506762773757357120026475937180395001011701504815954198108219261312122995044530245450862512057288604983372775533 Y0: -558659161029328028837897 Y1: 1094509924591 c0: -5898843684475890303061511181900 c1: 55301093442799703551606020 c2: 495592813840522776377 c3: -3608475303668302 c4: -13815866404 c5: 25200 skew: 218572.65 type: gnfs Factor base limits: 5200000/5200000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 10674983 Relations: 1631630 relations Pruned matrix : 923176 x 923419 Polynomial selection time: 0.00 hours. Total sieving time: 32.71 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.66 hours. time per square root: 0.25 hours. Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000 total time: 33.68 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 2.29GHz
software ソフトウェア	GGNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	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 19:27:38 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 38 秒 (日本時間)

91×10¹⁸⁹-19

c134

name 名前	Erik Branger
date 日付	February 3, 2015 16:25:04 UTC 2015 年 2 月 4 日 (水) 1 時 25 分 4 秒 (日本時間)
composite number 合成数	53649558946964358684177258515462656217844155747671194273071835337947602389247727676356195447965612310590593811149707828761656679939003<134>
prime factors 素因数	21690594098276045069072712911442457072648380038836879<53> 2473402005675279879402961995741933853011625398568200094173432522255964496456731157<82>
factorization results 素因数分解の結果	Number: 10111_189 N = 53649558946964358684177258515462656217844155747671194273071835337947602389247727676356195447965612310590593811149707828761656679939003 (134 digits) Divisors found: r1=21690594098276045069072712911442457072648380038836879 (pp53) r2=2473402005675279879402961995741933853011625398568200094173432522255964496456731157 (pp82) Version: Msieve v. 1.51 (SVN Official Release) Total time: 79.13 hours. Factorization parameters were as follows: # Murphy_E = 4.811e-11, selected by Erik Branger # expecting poly E from 4.94e-011 to > 5.68e-011 n: 53649558946964358684177258515462656217844155747671194273071835337947602389247727676356195447965612310590593811149707828761656679939003 Y0: -197177971318268249242306717 Y1: 99912877151383 c0: -3472886126615594180229581195939850 c1: 4779294969431449157038785747 c2: -4181545579756837343828 c3: -3292163663103350 c4: 1374764976 c5: 180 skew: 2629246.45 type: gnfs # selected mechanically rlim: 12300000 alim: 12300000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 12300000/12300000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 21031700 Relations: 2823780 relations Pruned matrix : 1723107 x 1723334 Polynomial selection time: 0.00 hours. Total sieving time: 76.83 hours. Total relation processing time: 0.11 hours. Matrix solve time: 1.88 hours. time per square root: 0.31 hours. Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12300000,12300000,28,28,54,54,2.6,2.6,100000 total time: 79.13 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 00:57:25 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 25 秒 (日本時間)

91×10¹⁹²-19

c178

name 名前	Jo Yeong Uk
date 日付	March 1, 2017 02:40:34 UTC 2017 年 3 月 1 日 (水) 11 時 40 分 34 秒 (日本時間)
composite number 合成数	1108643459290461635060517939791684876010386907912086793907220677888317186536128197154255150591847434403622971890084160008889492435020883774132482679642506981473530655167793996907<178>
prime factors 素因数	273641444128657140911231148498677646479260249<45> 4051445726069236103678151320753816387705602869754539468826713321948495955064296388765664308795268824287149317719679409703962938143843<133>
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 1108643459290461635060517939791684876010386907912086793907220677888317186536128197154255150591847434403622971890084160008889492435020883774132482679642506981473530655167793996907 (178 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2617417315 Step 1 took 34111ms Step 2 took 10911ms ********** Factor found in step 2: 273641444128657140911231148498677646479260249 Found probable prime factor of 45 digits: 273641444128657140911231148498677646479260249 Probable prime cofactor 4051445726069236103678151320753816387705602869754539468826713321948495955064296388765664308795268824287149317719679409703962938143843 has 133 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	280	Cyp	December 10, 2014 10:26:30 UTC 2014 年 12 月 10 日 (水) 19 時 26 分 30 秒 (日本時間)
45	11e6	591 / 4413	Cyp	August 2, 2015 05:59:43 UTC 2015 年 8 月 2 日 (日) 14 時 59 分 43 秒 (日本時間)

91×10¹⁹⁴-19

c132

name 名前	Erik Branger
date 日付	March 2, 2015 07:21:46 UTC 2015 年 3 月 2 日 (月) 16 時 21 分 46 秒 (日本時間)
composite number 合成数	116909635313679334695951802096303100933530219986893614033201313527450918711053374877883663075074025532707904869162872740383135352467<132>
prime factors 素因数	571377363370484048547758602507425490042226411<45> 204610197757999944174215495499382801650573609564637720858949618968843764274260348904697<87>
factorization results 素因数分解の結果	Number: 10111_194 N = 116909635313679334695951802096303100933530219986893614033201313527450918711053374877883663075074025532707904869162872740383135352467 (132 digits) Divisors found: r1=571377363370484048547758602507425490042226411 (pp45) r2=204610197757999944174215495499382801650573609564637720858949618968843764274260348904697 (pp87) Version: Msieve v. 1.52 (SVN 958) Total time: 54.92 hours. Factorization parameters were as follows: # Murphy_E = 6.578e-11, selected by Erik Branger # expecting poly E from 7.16e-011 to > 8.23e-011 n: 116909635313679334695951802096303100933530219986893614033201313527450918711053374877883663075074025532707904869162872740383135352467 Y0: -26261207224534419916034526 Y1: 20130964760459 c0: 24273307552454666103575968076066375 c1: 142553114874406163755494482563 c2: -96880497602888138238413 c3: -121030939236731587 c4: 28780480182 c5: 9360 skew: 1853063.35 type: gnfs # selected mechanically rlim: 10500000 alim: 10500000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 10500000/10500000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 19147219 Relations: 2733574 relations Pruned matrix : 1578760 x 1578987 Polynomial selection time: 0.00 hours. Total sieving time: 53.42 hours. Total relation processing time: 0.09 hours. Matrix solve time: 1.00 hours. time per square root: 0.42 hours. Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10500000,10500000,28,28,54,54,2.6,2.6,100000 total time: 54.92 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	2600	280	Cyp	December 8, 2014 10:14:54 UTC 2014 年 12 月 8 日 (月) 19 時 14 分 54 秒 (日本時間)
40	3e6	2600	2320	Serge Batalov	December 9, 2014 19:25:53 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 53 秒 (日本時間)
45	11e6	567 / 3900		Pierre Jammes	February 9, 2015 10:48:00 UTC 2015 年 2 月 9 日 (月) 19 時 48 分 0 秒 (日本時間)

91×10¹⁹⁶-19

c167

name 名前	Jo Yeong Uk
date 日付	November 4, 2017 04:55:52 UTC 2017 年 11 月 4 日 (土) 13 時 55 分 52 秒 (日本時間)
composite number 合成数	80521349677738316969076275613943881753418272865746599954730737993795062110806560959718901010186683975349759654340136912907020930743157715301705731514400575168409840147<167>
prime factors 素因数	604200655294172748647279685178981019683849612463999378652649<60> 133269219376357916055314046050514989421433886000340368698152109578365875785467996367945933234238324733787803<108>
factorization results 素因数分解の結果	Number: 10111_196 N=80521349677738316969076275613943881753418272865746599954730737993795062110806560959718901010186683975349759654340136912907020930743157715301705731514400575168409840147 ( 167 digits) SNFS difficulty: 197 digits. Divisors found: r1=604200655294172748647279685178981019683849612463999378652649 r2=133269219376357916055314046050514989421433886000340368698152109578365875785467996367945933234238324733787803 Version: Total time: 196.50 hours. Scaled time: 1033.20 units (timescale=5.258). Factorization parameters were as follows: n: 80521349677738316969076275613943881753418272865746599954730737993795062110806560959718901010186683975349759654340136912907020930743157715301705731514400575168409840147 m: 1000000000000000000000000000000000000000 deg: 5 c5: 910 c0: -1 skew: 0.26 # Murphy_E = 1.693e-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, 14400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 34789109 Max relations in full relation-set: Initial matrix: Pruned matrix : 2817907 x 2818154 Total sieving time: 175.54 hours. Total relation processing time: 7.05 hours. Matrix solve time: 13.68 hours. Time per square root: 0.23 hours. Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13000000,13000000,29,29,55,55,2.5,2.5,100000 total time: 196.50 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49367804k/51380224k available (5468k kernel code, 1086464k absent, 925956k reserved, 6953k data, 1316k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.42 BogoMIPS (lpj=3400210) Total of 12 processors activated (81605.04 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

ECM

level レベル	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 19:45:20 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 20 秒 (日本時間)
45	11e6	585 / 4409	Cyp	January 28, 2015 16:58:11 UTC 2015 年 1 月 29 日 (木) 1 時 58 分 11 秒 (日本時間)

91×10¹⁹⁸-19

c183

name 名前	Cyp
date 日付	December 8, 2014 18:08:17 UTC 2014 年 12 月 9 日 (火) 3 時 8 分 17 秒 (日本時間)
composite number 合成数	469307406227819329252847962712493738275719399408659408633546724731474661185750517545952566187877645522450847826758042182287715124243934893873523069053237570991864162647213118123035547<183>
prime factors 素因数	2970408222019683533553216810263097619<37> 157994245622145818386416140670938670926433394707908385444557031175646568794946084074662758195316578567023494671384921203273099539202336403916903513<147>
factorization results 素因数分解の結果	Run 77 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2316997256 Step 1 took 16156ms Step 2 took 5539ms ********** Factor found in step 2: 2970408222019683533553216810263097619 Found probable prime factor of 37 digits: 2970408222019683533553216810263097619 Probable prime cofactor 157994245622145818386416140670938670926433394707908385444557031175646568794946084074662758195316578567023494671384921203273099539202336403916903513 has 147 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 / 688	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	77 / 2318	Cyp	December 8, 2014 18:08:16 UTC 2014 年 12 月 9 日 (火) 3 時 8 分 16 秒 (日本時間)

91×10²⁰⁰-19

c185

name 名前	Jo Yeong Uk
date 日付	July 10, 2018 01:29:46 UTC 2018 年 7 月 10 日 (火) 10 時 29 分 46 秒 (日本時間)
composite number 合成数	16533663012521899848981815427481035228357863145529808251324934544300663550777622534206272626526594528024472627020446150150532972094369843022938353662272445538209745061650107108515953691<185>
prime factors 素因数	193651862133755173460633936303159643035980218453049791396071<60> 17696157398434526720365957276971108395878089899434949849013629<62> 4824679088153056255445788715460037391282092466558472855209553649<64>
factorization results 素因数分解の結果	Number: 10111_200 N=16533663012521899848981815427481035228357863145529808251324934544300663550777622534206272626526594528024472627020446150150532972094369843022938353662272445538209745061650107108515953691 ( 185 digits) SNFS difficulty: 201 digits. Divisors found: r1=193651862133755173460633936303159643035980218453049791396071 r2=17696157398434526720365957276971108395878089899434949849013629 r3=4824679088153056255445788715460037391282092466558472855209553649 Version: Total time: 198.55 hours. Scaled time: 1037.83 units (timescale=5.227). Factorization parameters were as follows: n: 16533663012521899848981815427481035228357863145529808251324934544300663550777622534206272626526594528024472627020446150150532972094369843022938353662272445538209745061650107108515953691 m: 10000000000000000000000000000000000000000 deg: 5 c5: 91 c0: -1 skew: 0.41 # Murphy_E = 1.564e-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, 15300001) Primes: rational ideals reading, algebraic ideals reading, Relations: 37514674 Max relations in full relation-set: Initial matrix: Pruned matrix : 3100946 x 3101192 Total sieving time: 178.24 hours. Total relation processing time: 2.12 hours. Matrix solve time: 17.72 hours. Time per square root: 0.48 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: 198.55 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 8, 2014 02:29:03 UTC 2014 年 12 月 8 日 (月) 11 時 29 分 3 秒 (日本時間)
45	11e6	591 / 4413	Cyp	August 2, 2015 05:59:43 UTC 2015 年 8 月 2 日 (日) 14 時 59 分 43 秒 (日本時間)

91×10²⁰¹-19

c188

name 名前	Cyp
date 日付	May 28, 2015 11:24:58 UTC 2015 年 5 月 28 日 (木) 20 時 24 分 58 秒 (日本時間)
composite number 合成数	20330261578271987705583325004046777403076315703742167716651298724369734054675559856905595143684282442260666852841189905449836556770375454808934234510578371224367798267835476328276972152449<188>
prime factors 素因数	1491869539849615551297665296362888406277<40>
composite cofactor 合成数の残り	13627372256907485737459220388097856555473904770029744655088458149868458917516072779769248037669929699774538057260473883549599060673466772603342402637<149>
factorization results 素因数分解の結果	Run 88 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1904012802 Step 1 took 59193ms Step 2 took 19457ms ********** Factor found in step 2: 1491869539849615551297665296362888406277 Found probable prime factor of 40 digits: 1491869539849615551297665296362888406277 Composite cofactor 13627372256907485737459220388097856555473904770029744655088458149868458917516072779769248037669929699774538057260473883549599060673466772603342402637 has 149 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

c149

name 名前	Bob Backstrom
date 日付	November 2, 2021 11:41:02 UTC 2021 年 11 月 2 日 (火) 20 時 41 分 2 秒 (日本時間)
composite number 合成数	13627372256907485737459220388097856555473904770029744655088458149868458917516072779769248037669929699774538057260473883549599060673466772603342402637<149>
prime factors 素因数	127909382003597470939246651582672030691141508169<48> 106539270563626160024118004473273793251674928800514373470366839898847891997887867417165344306242252773<102>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 13627372256907485737459220388097856555473904770029744655088458149868458917516072779769248037669929699774538057260473883549599060673466772603342402637 (149 digits) Using B1=40090000, B2=192393771586, polynomial Dickson(12), sigma=1:1221703056 Step 1 took 81488ms Step 2 took 27306ms ********** Factor found in step 2: 127909382003597470939246651582672030691141508169 Found prime factor of 48 digits: 127909382003597470939246651582672030691141508169 Prime cofactor 106539270563626160024118004473273793251674928800514373470366839898847891997887867417165344306242252773 has 102 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		Serge Batalov	December 10, 2014 19:45:21 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 21 秒 (日本時間)
45	11e6	4585	585	Cyp	May 28, 2015 11:24:57 UTC 2015 年 5 月 28 日 (木) 20 時 24 分 57 秒 (日本時間)
			1000	Ignacio Santos	September 25, 2021 13:08:16 UTC 2021 年 9 月 25 日 (土) 22 時 8 分 16 秒 (日本時間)
			1000	Ignacio Santos	September 25, 2021 15:16:15 UTC 2021 年 9 月 26 日 (日) 0 時 16 分 15 秒 (日本時間)
			1000	Ignacio Santos	September 28, 2021 13:33:15 UTC 2021 年 9 月 28 日 (火) 22 時 33 分 15 秒 (日本時間)
			1000	Ignacio Santos	October 2, 2021 16:11:49 UTC 2021 年 10 月 3 日 (日) 1 時 11 分 49 秒 (日本時間)

91×10²⁰³-19

c173

name 名前	ebina
date 日付	April 16, 2022 10:00:52 UTC 2022 年 4 月 16 日 (土) 19 時 0 分 52 秒 (日本時間)
composite number 合成数	79002895502187845453342669622664810875785801239978984237975181329734634117337342593278970867673803199821518868755376763803066569243297139996636352916008954281022845338375113<173>
prime factors 素因数	10397809684987025672532927317097612048088213<44> 7598032460264868255721261928061708079421075360387978221129174753393796317922951968187796530729926331679519853870189096827893971301<130>
factorization results 素因数分解の結果	Sat Apr 16 14:46:42 2022 Msieve v. 1.53 (SVN unknown) Sat Apr 16 14:46:42 2022 random seeds: 7ce0dc28 e5401f49 Sat Apr 16 14:46:42 2022 factoring 79002895502187845453342669622664810875785801239978984237975181329734634117337342593278970867673803199821518868755376763803066569243297139996636352916008954281022845338375113 (173 digits) Sat Apr 16 14:46:43 2022 searching for 15-digit factors Sat Apr 16 14:46:44 2022 commencing number field sieve (173-digit input) Sat Apr 16 14:46:44 2022 R0: -10000000000000000000000000000000000 Sat Apr 16 14:46:44 2022 R1: 1 Sat Apr 16 14:46:44 2022 A0: -10 Sat Apr 16 14:46:44 2022 A1: 0 Sat Apr 16 14:46:44 2022 A2: 0 Sat Apr 16 14:46:44 2022 A3: 0 Sat Apr 16 14:46:44 2022 A4: 0 Sat Apr 16 14:46:44 2022 A5: 0 Sat Apr 16 14:46:44 2022 A6: 91 Sat Apr 16 14:46:44 2022 skew 0.69, size 3.883e-10, alpha -0.856, combined = 8.641e-12 rroots = 2 Sat Apr 16 14:46:44 2022 Sat Apr 16 14:46:44 2022 commencing square root phase Sat Apr 16 14:46:44 2022 reading relations for dependency 1 Sat Apr 16 14:46:45 2022 read 1744096 cycles Sat Apr 16 14:46:48 2022 cycles contain 5843270 unique relations Sat Apr 16 14:47:57 2022 read 5843270 relations Sat Apr 16 14:48:27 2022 multiplying 5843270 relations Sat Apr 16 14:53:24 2022 multiply complete, coefficients have about 173.92 million bits Sat Apr 16 14:53:26 2022 initial square root is modulo 1743793 Sat Apr 16 14:59:12 2022 sqrtTime: 748 Sat Apr 16 14:59:12 2022 p44 factor: 10397809684987025672532927317097612048088213 Sat Apr 16 14:59:12 2022 p130 factor: 7598032460264868255721261928061708079421075360387978221129174753393796317922951968187796530729926331679519853870189096827893971301 Sat Apr 16 14:59:12 2022 elapsed time 00:12:30 Sat Apr 16 14:59:12 2022 -> Computing time scale for this machine... Sat Apr 16 14:59:12 2022 -> procrels -speedtest> PIPE Sat Apr 16 14:59:15 2022 -> Factorization summary written to s206-10111_203.txt

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 10:30:07 UTC 2014 年 12 月 9 日 (火) 19 時 30 分 7 秒 (日本時間)
45	11e6	591 / 4413	Cyp	July 5, 2015 17:39:08 UTC 2015 年 7 月 6 日 (月) 2 時 39 分 8 秒 (日本時間)

91×10²⁰⁴-19

c180

name 名前	Cyp
date 日付	December 7, 2014 08:10:19 UTC 2014 年 12 月 7 日 (日) 17 時 10 分 19 秒 (日本時間)
composite number 合成数	699189055205554984655221952293731125262159570905482694459320982917099863679957714450941276014417671047841960615674183833040002879731135429732349763550592681472099227144952932103059<180>
prime factors 素因数	806499355859716369335667962727<30>
composite cofactor 合成数の残り	866943104325520268499027438645222184607084156497456705490577247336667611590037310254430741857641349797472102527668936728665961364831838918496431632117<150>
factorization results 素因数分解の結果	Run 42 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3262740538 Step 1 took 16255ms ********** Factor found in step 1: 806499355859716369335667962727 Found probable prime factor of 30 digits: 806499355859716369335667962727 Composite cofactor 866943104325520268499027438645222184607084156497456705490577247336667611590037310254430741857641349797472102527668936728665961364831838918496431632117 has 150 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

c150

name 名前	Bob Backstrom
date 日付	October 28, 2021 20:26:19 UTC 2021 年 10 月 29 日 (金) 5 時 26 分 19 秒 (日本時間)
composite number 合成数	866943104325520268499027438645222184607084156497456705490577247336667611590037310254430741857641349797472102527668936728665961364831838918496431632117<150>
prime factors 素因数	4155714135283541799924127623224189497<37> 208614711239364224888766553582200732571830396044191154542645983235798676951020843704630060912295354550846926242461<114>
factorization results 素因数分解の結果	# # N = 91x10^204-1 = 101(204) # n: 866943104325520268499027438645222184607084156497456705490577247336667611590037310254430741857641349797472102527668936728665961364831838918496431632117 m: 10000000000000000000000000000000000 deg: 6 c6: 91 c0: -1 skew: 0.47 # Murphy_E = 8.538e-12 type: snfs lss: 1 rlim: 19000000 alim: 19000000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 866943104325520268499027438645222184607084156497456705490577247336667611590037310254430741857641349797472102527668936728665961364831838918496431632117 (150 digits) Using B1=37310000, B2=192391008826, polynomial Dickson(12), sigma=1:3482195712 Step 1 took 76610ms Step 2 took 28265ms ********** Factor found in step 2: 4155714135283541799924127623224189497 Found prime factor of 37 digits: 4155714135283541799924127623224189497 Prime cofactor 208614711239364224888766553582200732571830396044191154542645983235798676951020843704630060912295354550846926242461 has 114 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 7, 2014 08:10:19 UTC 2014 年 12 月 7 日 (日) 17 時 10 分 19 秒 (日本時間)
45	11e6	591 / 4413	Cyp	June 9, 2015 15:57:02 UTC 2015 年 6 月 10 日 (水) 0 時 57 分 2 秒 (日本時間)

91×10²⁰⁵-19

c161

composite cofactor 合成数の残り	10392468903314786411552479838251721347784773165171851179162605895399065406000930810799801215351046255266947717790650233757514360197321589991640968075482275732607<161>

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 12:06:11 UTC 2014 年 12 月 9 日 (火) 21 時 6 分 11 秒 (日本時間)
45	11e6	591 / 4413	Cyp	June 11, 2015 06:46:13 UTC 2015 年 6 月 11 日 (木) 15 時 46 分 13 秒 (日本時間)

91×10²⁰⁸-19

c203

name 名前	Bob Backstrom
date 日付	August 7, 2020 22:59:00 UTC 2020 年 8 月 8 日 (土) 7 時 59 分 0 秒 (日本時間)
composite number 合成数	26362330651357279078382190698668682023390571747096254460339771043447988903254910614172487454789689292701855279437663097004309314034484999268952292321976991711016942548456933120592221936292328234424041449<203>
prime factors 素因数	189600514021986975446284921069060230680945511277693782206988839144816449596928837379076682610423<96> 139041451376551532454970736078582968414977510780360424422071568142707684517879817029213063885063645200197663<108>
factorization results 素因数分解の結果	Number: n N=26362330651357279078382190698668682023390571747096254460339771043447988903254910614172487454789689292701855279437663097004309314034484999268952292321976991711016942548456933120592221936292328234424041449 ( 203 digits) SNFS difficulty: 209 digits. Divisors found: Sat Aug 8 08:51:42 2020 p96 factor: 189600514021986975446284921069060230680945511277693782206988839144816449596928837379076682610423 Sat Aug 8 08:51:42 2020 p108 factor: 139041451376551532454970736078582968414977510780360424422071568142707684517879817029213063885063645200197663 Sat Aug 8 08:51:42 2020 elapsed time 04:14:50 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.122). Factorization parameters were as follows: # # N = 91x10^208-1 = 101(208) # n: 26362330651357279078382190698668682023390571747096254460339771043447988903254910614172487454789689292701855279437663097004309314034484999268952292321976991711016942548456933120592221936292328234424041449 m: 100000000000000000000000000000000000000000 deg: 5 c5: 91000 c0: -1 skew: 0.10 # Murphy_E = 4.625e-12 type: snfs lss: 1 rlim: 22000000 alim: 22000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 22000000/22000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 51000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8577970 hash collisions in 57416090 relations (50835141 unique) Msieve: matrix is 3038237 x 3038463 (1057.4 MB) Sieving start time: 2020/08/07 07:19:56 Sieving end time : 2020/08/08 04:35:58 Total sieving time: 21hrs 16min 2secs. Total relation processing time: 3hrs 40min 17sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 17min 15sec. Prototype def-par.txt line would be: snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved) [ 0.188728] x86/mm: Memory block size: 128MB [ 0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004) [ 0.186225] smpboot: Total of 16 processors activated (95816.03 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 7, 2014 03:32:13 UTC 2014 年 12 月 7 日 (日) 12 時 32 分 13 秒 (日本時間)
45	11e6	591 / 4413	Cyp	August 2, 2015 05:59:42 UTC 2015 年 8 月 2 日 (日) 14 時 59 分 42 秒 (日本時間)

91×10²⁰⁹-19

c203

name 名前	Bob Backstrom
date 日付	August 1, 2020 00:43:50 UTC 2020 年 8 月 1 日 (土) 9 時 43 分 50 秒 (日本時間)
composite number 合成数	19937745288630270479155309683280656167060006612276541338503703371554012961247769127885577551467717448066670470613190855663985997375311953685923507280235923208542700746863775686150547806969945231473793947<203>
prime factors 素因数	2676877493197304564287223492152650613863722699<46> 7448135127325649124543615644442304861691091842770421611423414374060914870517831058206512423367666216290589283194680578558486873594968997379093723790069079153<157>
factorization results 素因数分解の結果	GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM] Input number is 19937745288630270479155309683280656167060006612276541338503703371554012961247769127885577551467717448066670470613190855663985997375311953685923507280235923208542700746863775686150547806969945231473793947 (203 digits) Using B1=21490000, B2=96186870796, polynomial Dickson(12), sigma=1719807685 Step 1 took 118270ms Step 2 took 31120ms ********** Factor found in step 2: 2676877493197304564287223492152650613863722699 Found probable prime factor of 46 digits: 2676877493197304564287223492152650613863722699 Probable prime cofactor 7448135127325649124543615644442304861691091842770421611423414374060914870517831058206512423367666216290589283194680578558486873594968997379093723790069079153 has 157 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 13:14:52 UTC 2014 年 12 月 10 日 (水) 22 時 14 分 52 秒 (日本時間)
45	11e6	591 / 4413	231	Cyp	December 29, 2014 09:41:18 UTC 2014 年 12 月 29 日 (月) 18 時 41 分 18 秒 (日本時間)
45	11e6	591 / 4413	360	Cyp	August 1, 2015 16:40:02 UTC 2015 年 8 月 2 日 (日) 1 時 40 分 2 秒 (日本時間)

91×10²¹⁰-19

c136

name 名前	Erik Branger
date 日付	December 13, 2014 09:09:04 UTC 2014 年 12 月 13 日 (土) 18 時 9 分 4 秒 (日本時間)
composite number 合成数	9135415055194541468801406764335588756931981297090217681563761099127485760619885710056789818545075948798279250774930440255996289147382621<136>
prime factors 素因数	172177074664594775475841905970482513083818512935608517<54> 53058254549803202597895699325580939280930438770393470475943514746415370290959030713<83>
factorization results 素因数分解の結果	Number: 10111_210 N = 9135415055194541468801406764335588756931981297090217681563761099127485760619885710056789818545075948798279250774930440255996289147382621 (136 digits) Divisors found: r1=172177074664594775475841905970482513083818512935608517 (pp54) r2=53058254549803202597895699325580939280930438770393470475943514746415370290959030713 (pp83) Version: Msieve v. 1.51 (SVN Official Release) Total time: 116.66 hours. Factorization parameters were as follows: # Murphy_E = 3.546e-11, selected by Erik Branger # xpecting poly E from 3.61e-011 to > 4.16e-011 n: 9135415055194541468801406764335588756931981297090217681563761099127485760619885710056789818545075948798279250774930440255996289147382621 Y0: -298357895481207645541098823 Y1: 283041131468831 c0: 1190638571398733405409351736386960 c1: 3611578887448960778018612094 c2: -18671473724438753573257 c3: -37219196444705710 c4: 32735209700 c5: 3864 skew: 833943.71 type: gnfs # selected mechanically rlim: 14200000 alim: 14200000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 14200000/14200000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 22337612 Relations: 3749966 relations Pruned matrix : 2220828 x 2221075 Polynomial selection time: 0.00 hours. Total sieving time: 112.41 hours. Total relation processing time: 0.14 hours. Matrix solve time: 3.34 hours. time per square root: 0.77 hours. Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,14200000,14200000,28,28,55,55,2.6,2.6,100000 total time: 116.66 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 00:57:25 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 25 秒 (日本時間)

91×10²¹³-19

c213

name 名前	Serge Batalov
date 日付	December 9, 2014 01:13:24 UTC 2014 年 12 月 9 日 (火) 10 時 13 分 24 秒 (日本時間)
composite number 合成数	100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011<213>
prime factors 素因数	900954142380366484386513338323<30>
composite cofactor 合成数の残り	111115545500023330386628672141765318352726739509490356258395554776746174624548895326713147719499450566600074928210236948396559972270084646723225595340155320436926655340300803809307257<183>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2439126604 Step 1 took 18543ms ********** Factor found in step 1: 900954142380366484386513338323 Found probable prime factor of 30 digits: 900954142380366484386513338323 Composite cofactor

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	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 00:57:42 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 42 秒 (日本時間)

91×10²¹⁴-19

c175

composite cofactor 合成数の残り	1020922895336117464025105827531144072589494932412529493220833446865503875221423881895552747484614182886616543861456181171290161068709617663416331292038411285915429254855479719<175>

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 19:45:21 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 21 秒 (日本時間)
45	11e6	585 / 4409	Cyp	February 6, 2015 03:25:58 UTC 2015 年 2 月 6 日 (金) 12 時 25 分 58 秒 (日本時間)

91×10²¹⁶-19

c169

composite cofactor 合成数の残り	3984594054295163016381049250549489071291381773908998733227523959640855382961571832050872612220649276852579600099572237902100153848936348579398771054954613036604002076677<169>

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 08:55:50 UTC 2014 年 12 月 8 日 (月) 17 時 55 分 50 秒 (日本時間)
45	11e6	591 / 4413	Cyp	August 1, 2015 18:31:55 UTC 2015 年 8 月 2 日 (日) 3 時 31 分 55 秒 (日本時間)

91×10²¹⁷-19

c190

composite cofactor 合成数の残り	1683688289820530595802365327223699314133795685407576724216312149519743830335762075864342973289673829141494347791784688699911084594539356452623887064656226321483331252659131118527551549794033<190>

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 05:46:29 UTC 2014 年 12 月 9 日 (火) 14 時 46 分 29 秒 (日本時間)
45	11e6	591 / 4413	Cyp	August 1, 2015 18:31:47 UTC 2015 年 8 月 2 日 (日) 3 時 31 分 47 秒 (日本時間)

91×10²¹⁸-19

c177

name 名前	Erik Branger
date 日付	November 12, 2019 16:47:42 UTC 2019 年 11 月 13 日 (水) 1 時 47 分 42 秒 (日本時間)
composite number 合成数	319011034395955550495680126940649356791753727408725945027912395963544107787786609509926931022641239160906461936328218586397806513513604414441926033267905275068788347356864469483<177>
prime factors 素因数	42496991925521680853462505178470953846536972439<47> 1115235036996107504964737404357787702274259822921<49> 6731023547290131393361658269310313644098772869413305539132706470392130519168390757<82>
factorization results 素因数分解の結果	Number: 10111_218 N = 319011034395955550495680126940649356791753727408725945027912395963544107787786609509926931022641239160906461936328218586397806513513604414441926033267905275068788347356864469483 (177 digits) SNFS difficulty: 222 digits. Divisors found: r1=42496991925521680853462505178470953846536972439 (pp47) r2=1115235036996107504964737404357787702274259822921 (pp49) r3=6731023547290131393361658269310313644098772869413305539132706470392130519168390757 (pp82) Version: Msieve v. 1.52 (SVN unknown) Total time: 94.02 hours. Factorization parameters were as follows: n: 319011034395955550495680126940649356791753727408725945027912395963544107787786609509926931022641239160906461936328218586397806513513604414441926033267905275068788347356864469483 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 91 c0: -100 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: 8273160 relations Pruned matrix : 7186534 x 7186759 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 43.43 hours. Total relation processing time: 0.45 hours. Matrix solve time: 49.64 hours. time per square root: 0.51 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: 94.02 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	300	Serge Batalov	December 10, 2014 19:45:22 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 22 秒 (日本時間)
45	11e6	585 / 4409	Cyp	August 1, 2015 17:43:36 UTC 2015 年 8 月 2 日 (日) 2 時 43 分 36 秒 (日本時間)

91×10²²⁰-19

c213

name 名前	Erik Branger
date 日付	February 16, 2018 18:54:01 UTC 2018 年 2 月 17 日 (土) 3 時 54 分 1 秒 (日本時間)
composite number 合成数	337558286666948116089112469099195736111506582900531770517996281474977462818981308864621912686763307578789693910614283031894951810740974332311591509375345894075263864406964101506754732537410881046628683295112072213<213>
prime factors 素因数	281952706847568792328875633740511401957071<42> 68247750460670281227062743717005088952346664913690347<53> 17542204298682437929839398959483172164714099323055258873527645759155217112612668750739814214259496062264799193023332049<119>
factorization results 素因数分解の結果	Number: 10111_220 N = 337558286666948116089112469099195736111506582900531770517996281474977462818981308864621912686763307578789693910614283031894951810740974332311591509375345894075263864406964101506754732537410881046628683295112072213 (213 digits) SNFS difficulty: 222 digits. Divisors found: r1=281952706847568792328875633740511401957071 (pp42) r2=68247750460670281227062743717005088952346664913690347 (pp53) r3=17542204298682437929839398959483172164714099323055258873527645759155217112612668750739814214259496062264799193023332049 (pp119) Version: Msieve v. 1.52 (SVN unknown) Total time: 75.54 hours. Factorization parameters were as follows: n: 337558286666948116089112469099195736111506582900531770517996281474977462818981308864621912686763307578789693910614283031894951810740974332311591509375345894075263864406964101506754732537410881046628683295112072213 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 91 c0: -1 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 536870912 lpbr: 29 lpba: 27 mfbr: 58 mfba: 54 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 4 Number of threads per core: 1 Factor base limits: 536870912/536870912 Large primes per side: 3 Large prime bits: 29/27 Total raw relations: 30584867 Relations: 7392018 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 39.86 hours. Total relation processing time: 0.29 hours. Pruned matrix : 6886465 x 6886690 Matrix solve time: 35.12 hours. time per square root: 0.27 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000 total time: 75.54 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.16299-SP0 processors: 8, speed: 3.50GHz
software ソフトウェア	GGNFS, NFS_factory, Msieve

ECM

level レベル	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 16:16:13 UTC 2014 年 12 月 11 日 (木) 1 時 16 分 13 秒 (日本時間)
40	3e6	580	300	Serge Batalov	December 10, 2014 19:45:22 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 22 秒 (日本時間)
45	11e6	504 / 4347		Cyp	July 2, 2015 22:43:20 UTC 2015 年 7 月 3 日 (金) 7 時 43 分 20 秒 (日本時間)

91×10²²¹-19

c199

name 名前	Erik Branger
date 日付	January 9, 2020 18:41:49 UTC 2020 年 1 月 10 日 (金) 3 時 41 分 49 秒 (日本時間)
composite number 合成数	3548186282958884451309002195338246006189432955686322019306705567640506876304632141479026544437304177813471806600206669699765003080020262020021177484554081284616720081337160673996059460118700171014047<199>
prime factors 素因数	3421383712364795005837113731043295025266322399754123618061<58> 383040222897046151579386760296783973949604308434982786409786259<63> 2707448769219284626742152753009969449830886649934668597986067155473797713987353<79>
factorization results 素因数分解の結果	Number: 10111_221 N = 3548186282958884451309002195338246006189432955686322019306705567640506876304632141479026544437304177813471806600206669699765003080020262020021177484554081284616720081337160673996059460118700171014047 (199 digits) SNFS difficulty: 223 digits. Divisors found: r1=3421383712364795005837113731043295025266322399754123618061 (pp58) r2=383040222897046151579386760296783973949604308434982786409786259 (pp63) r3=2707448769219284626742152753009969449830886649934668597986067155473797713987353 (pp79) Version: Msieve v. 1.52 (SVN unknown) Total time: 63.86 hours. Factorization parameters were as follows: n: 3548186282958884451309002195338246006189432955686322019306705567640506876304632141479026544437304177813471806600206669699765003080020262020021177484554081284616720081337160673996059460118700171014047 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 910 c0: -1 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 34596456 Relations: 8692074 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 30.04 hours. Total relation processing time: 0.38 hours. Pruned matrix : 7494350 x 7494575 Matrix solve time: 32.49 hours. time per square root: 0.95 hours. Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 63.86 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	300	Serge Batalov	December 10, 2014 19:45:23 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 23 秒 (日本時間)
45	11e6	585 / 4409	Cyp	June 6, 2015 08:48:37 UTC 2015 年 6 月 6 日 (土) 17 時 48 分 37 秒 (日本時間)

91×10²²³-19

c190

name 名前	Cyp
date 日付	December 8, 2014 19:01:15 UTC 2014 年 12 月 9 日 (火) 4 時 1 分 15 秒 (日本時間)
composite number 合成数	1324927207562381058801665829580474611929137503691501180825987779320574341225526271783894295513187277491717692764301293399744615885751928069922306569049243127634492517007178386804522555045551<190>
prime factors 素因数	311492913076374697342120980309099941<36>
composite cofactor 合成数の残り	4253474644020306234743225648034640228927866951744469770664637970759040196955887306625659173547830391501419410865296446667461346155873531411444504889238211<154>
factorization results 素因数分解の結果	Run 58 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2475590552 Step 1 took 16078ms Step 2 took 5635ms ********** Factor found in step 2: 311492913076374697342120980309099941 Found probable prime factor of 36 digits: 311492913076374697342120980309099941 Composite cofactor 4253474644020306234743225648034640228927866951744469770664637970759040196955887306625659173547830391501419410865296446667461346155873531411444504889238211 has 154 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

c154

name 名前	Serge Batalov
date 日付	December 9, 2014 19:30:39 UTC 2014 年 12 月 10 日 (水) 4 時 30 分 39 秒 (日本時間)
composite number 合成数	4253474644020306234743225648034640228927866951744469770664637970759040196955887306625659173547830391501419410865296446667461346155873531411444504889238211<154>
prime factors 素因数	21028574188803301989365810866934858993<38> 202271186140859498796414117609589385516773401870971764196512579812634555322154763324931450055366668322396228850307827<117>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=401586556 Step 1 took 9156ms Step 2 took 7575ms ********** Factor found in step 2: 21028574188803301989365810866934858993 Found probable prime factor of 38 digits: 21028574188803301989365810866934858993 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	2600	280	Cyp	December 8, 2014 19:01:14 UTC 2014 年 12 月 9 日 (火) 4 時 1 分 14 秒 (日本時間)
40	3e6	2600	2320	Serge Batalov	December 9, 2014 19:25:59 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 59 秒 (日本時間)

91×10²²⁴-19

c166

name 名前	Cyp
date 日付	December 10, 2014 13:27:19 UTC 2014 年 12 月 10 日 (水) 22 時 27 分 19 秒 (日本時間)
composite number 合成数	6137528416486114394472094759397815311364106603712717215049931533032288868606868194681054998174223420856629941118619093180965216827750054864584915640365302160341541433<166>
prime factors 素因数	18490283545060961239303433936119<32>
composite cofactor 合成数の残り	331932628373648846069179678814751042673036726422932684064329022681246004670046151756712300665564371839198239429022692088252435711139407<135>
factorization results 素因数分解の結果	Run 5 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3779532495 Step 1 took 13478ms Step 2 took 5134ms ********** Factor found in step 2: 18490283545060961239303433936119 Found probable prime factor of 32 digits: 18490283545060961239303433936119 Composite cofactor 331932628373648846069179678814751042673036726422932684064329022681246004670046151756712300665564371839198239429022692088252435711139407 has 135 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

c135

name 名前	Erik Branger
date 日付	April 16, 2015 20:14:39 UTC 2015 年 4 月 17 日 (金) 5 時 14 分 39 秒 (日本時間)
composite number 合成数	331932628373648846069179678814751042673036726422932684064329022681246004670046151756712300665564371839198239429022692088252435711139407<135>
prime factors 素因数	12214319924644852094978749077550055703420558379229104943792115750719<68> 27175694629048308400533683111798772902381012283306906805096451392753<68>
factorization results 素因数分解の結果	Number: 10111_224 N = 331932628373648846069179678814751042673036726422932684064329022681246004670046151756712300665564371839198239429022692088252435711139407 (135 digits) Divisors found: r1=12214319924644852094978749077550055703420558379229104943792115750719 (pp68) r2=27175694629048308400533683111798772902381012283306906805096451392753 (pp68) Version: Msieve v. 1.51 (SVN 845) Total time: 172.06 hours. Factorization parameters were as follows: # Murphy_E = 4.134e-11, selected by Erik Branger # expecting poly E from 4.42e-011 to > 5.08e-011 n: 331932628373648846069179678814751042673036726422932684064329022681246004670046151756712300665564371839198239429022692088252435711139407 Y0: -118778138921447341004331423 Y1: 35891616477481 c0: 767477917009463630045791156291340 c1: 10511709173236514321042901686 c2: -17029295364241883175378 c3: -103513542097441841 c4: 27375011458 c5: 14040 skew: 829945.52 type: gnfs # selected mechanically rlim: 13000000 alim: 13000000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 13000000/13000000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 21066892 Relations: 2962874 relations Pruned matrix : 1827224 x 1827451 Polynomial selection time: 0.00 hours. Total sieving time: 168.69 hours. Total relation processing time: 0.13 hours. Matrix solve time: 2.76 hours. time per square root: 0.49 hours. Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,13000000,13000000,28,28,54,54,2.6,2.6,100000 total time: 172.06 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 2.29GHz
software ソフトウェア	GGNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	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 13:27:18 UTC 2014 年 12 月 10 日 (水) 22 時 27 分 18 秒 (日本時間)
45	11e6	1000 / 4413	Serge Batalov	December 18, 2014 00:18:25 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 25 秒 (日本時間)

91×10²²⁵-19

c206

composite cofactor 合成数の残り

14192690196647510749310651587879123189415266103973118553292358621412486518771886752302918558111040484467754748639493971845137046673614277691973576971335189800303474504623470952915329822390556149458650509533<206>

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 19:45:23 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 23 秒 (日本時間)
45	11e6	585 / 4409	Cyp	August 1, 2015 17:39:42 UTC 2015 年 8 月 2 日 (日) 2 時 39 分 42 秒 (日本時間)

91×10²²⁶-19

c185

composite cofactor 合成数の残り	30494519163668737426154313776718455604594016466369308923170452543653305554372052842862713038287744339464027551610114038070096651283040030219882176053519669839197875234101530306015396623<185>

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 00:58:23 UTC 2014 年 12 月 8 日 (月) 9 時 58 分 23 秒 (日本時間)
45	11e6	591 / 4413	Cyp	June 2, 2015 08:13:02 UTC 2015 年 6 月 2 日 (火) 17 時 13 分 2 秒 (日本時間)

91×10²²⁷-19

c183

composite cofactor 合成数の残り	784624185328460325002029307854799844873152655846859808365737093606737870721881828339173131829405292853788851160281362275725442375124193025718189765470677082237241406551098562410499227<183>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	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 19:45:23 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 23 秒 (日本時間)
45	11e6	585 / 4409	Cyp	May 18, 2015 22:22:34 UTC 2015 年 5 月 19 日 (火) 7 時 22 分 34 秒 (日本時間)

91×10²³¹-19

c179

composite cofactor 合成数の残り	29349388482775870030715720833844941723297760848067793051596528078577308614479597165650031740905170878849552706027386094106014813694970877699079868856289898719199468002070468603687<179>

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 19:45:24 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 24 秒 (日本時間)
45	11e6	585 / 4409	Cyp	February 7, 2015 11:12:25 UTC 2015 年 2 月 7 日 (土) 20 時 12 分 25 秒 (日本時間)

91×10²³²-19

c200

composite cofactor 合成数の残り

12200755674505744847390277200277816708469725082988004124503935061696107362706740960890558125516659655622236198779763474312174866429102963798145285726182449635914776488102050101322052310855983295972737<200>

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 06:23:08 UTC 2014 年 12 月 7 日 (日) 15 時 23 分 8 秒 (日本時間)
45	11e6	591 / 4413	Cyp	June 12, 2015 10:35:01 UTC 2015 年 6 月 12 日 (金) 19 時 35 分 1 秒 (日本時間)

91×10²³³-19

c174

composite cofactor 合成数の残り	288986639137984235427183113406176506145128498982392699771772928641439577745089714839136678513205085599451645232885780978250334406583007762557455663221267870733242993505116173<174>

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 13:10:56 UTC 2014 年 12 月 9 日 (火) 22 時 10 分 56 秒 (日本時間)
45	11e6	591 / 4413	335	Cyp	January 2, 2015 04:38:41 UTC 2015 年 1 月 2 日 (金) 13 時 38 分 41 秒 (日本時間)
45	11e6	591 / 4413	256	Cyp	June 24, 2015 06:04:46 UTC 2015 年 6 月 24 日 (水) 15 時 4 分 46 秒 (日本時間)

91×10²³⁵-19

c216

name 名前	Cyp
date 日付	December 8, 2014 02:39:44 UTC 2014 年 12 月 8 日 (月) 11 時 39 分 44 秒 (日本時間)
composite number 合成数	440804280128779646041731244304372509003881085641905632150948393863699161093162040938951702608182985004165791981011233784980188124472929580257654121122277302970082881593521132302646017011970306892972334390933802493879<216>
prime factors 素因数	229900082198028706038572754048109<33> 1917373303716719386441132042656887658581472127967439592188621314074947412759700776811937813553159542482164575106966467590741316002216529906039504252574546957322565156947312237749972531<184>
factorization results 素因数分解の結果	Run 21 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=379546949 Step 1 took 21682ms Step 2 took 6787ms ********** Factor found in step 2: 229900082198028706038572754048109 Found probable prime factor of 33 digits: 229900082198028706038572754048109 Probable prime cofactor 1917373303716719386441132042656887658581472127967439592188621314074947412759700776811937813553159542482164575106966467590741316002216529906039504252574546957322565156947312237749972531 has 184 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 / 846	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	21 / 2318	Cyp	December 8, 2014 02:39:44 UTC 2014 年 12 月 8 日 (月) 11 時 39 分 44 秒 (日本時間)

91×10²³⁶-19

c227

composite cofactor 合成数の残り

35696031175399614774165671391994627190544159400666628441622676820239756629606264651208703425582921261951409424225511822666479505126173869328330100374837479231243891097653524013755001596416087666276294701058942573761947445958553<227>

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 19:45:24 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 24 秒 (日本時間)
45	11e6	585 / 4409	329	Cyp	January 7, 2015 01:42:58 UTC 2015 年 1 月 7 日 (水) 10 時 42 分 58 秒 (日本時間)
45	11e6	585 / 4409	256	Cyp	May 13, 2015 13:45:40 UTC 2015 年 5 月 13 日 (水) 22 時 45 分 40 秒 (日本時間)

91×10²³⁷-19

c223

name 名前	Serge Batalov
date 日付	December 11, 2014 01:31:18 UTC 2014 年 12 月 11 日 (木) 10 時 31 分 18 秒 (日本時間)
composite number 合成数	1287345432845095646816006713227445574003022248685849886335661527600902314382830549087365081557195822640181636185541826486327497826235711689219028883374357441010664651189644824359683322567724389715112445845272329911037481179<223>
prime factors 素因数	286399887177837874908560661383<30>
composite cofactor 合成数の残り	4494922974762654487732218950619172191571778702985601176804262932561221151585137868102504584698499664372064993766710691109125767288356665146011770757580803061735867749372589533986393589413510413<193>
factorization results 素因数分解の結果	Input number is 1287345432845095646816006713227445574003022248685849886335661527600902314382830549087365081557195822640181636185541826486327497826235711689219028883374357441010664651189644824359683322567724389715112445845272329911037481179 (223 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3502093741 Step 1 took 18176ms Step 2 took 11558ms ********** Factor found in step 2: 286399887177837874908560661383 Found probable prime factor of 30 digits: 286399887177837874908560661383 Composite cofactor 4494922974762654487732218950619172191571778702985601176804262932561221151585137868102504584698499664372064993766710691109125767288356665146011770757580803061735867749372589533986393589413510413 has 193 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	Serge Batalov	December 10, 2014 19:45:25 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 25 秒 (日本時間)
45	11e6	585 / 4409	Cyp	January 29, 2015 19:20:46 UTC 2015 年 1 月 30 日 (金) 4 時 20 分 46 秒 (日本時間)

91×10²³⁸-19

c213

name 名前	Cyp
date 日付	January 7, 2015 19:51:59 UTC 2015 年 1 月 8 日 (木) 4 時 51 分 59 秒 (日本時間)
composite number 合成数	593858193729949386599721069085362873879295478593421497765672192318378226710447183325835147238034328135160453260435439080881088911443588939161107150678154044493482726143426437215527075673792097952532072139858222997<213>
prime factors 素因数	14660781766277763600726272969692805321<38> 242444773076975521173122634853480503854587<42>
composite cofactor 合成数の残り	167075511129678852737794202235968858501153275029086027500890039982190544102925561073427089757964314241607891529572617424994019184841911<135>
factorization results 素因数分解の結果	Run 72 out of 329: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=136596313 Step 1 took 80962ms Step 2 took 23322ms ******** Factor found in step 2: 242444773076975521173122634853480503854587 Found probable prime factor of 42 digits: 242444773076975521173122634853480503854587 Composite cofactor 2449457607161533281218614511813023451243560588109601272021495088389599258557601363556369824554705087317935111115871350447073611551288224134275859958790869382038317484608431 has 172 digits -- Run 226 out of 329: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2012855719 Step 1 took 50067ms Step 2 took 17304ms ******** Factor found in step 2: 14660781766277763600726272969692805321 Found probable prime factor of 38 digits: 14660781766277763600726272969692805321 Composite cofactor 167075511129678852737794202235968858501153275029086027500890039982190544102925561073427089757964314241607891529572617424994019184841911 has 135 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

c135

name 名前	Erik Branger
date 日付	April 13, 2015 21:09:14 UTC 2015 年 4 月 14 日 (火) 6 時 9 分 14 秒 (日本時間)
composite number 合成数	167075511129678852737794202235968858501153275029086027500890039982190544102925561073427089757964314241607891529572617424994019184841911<135>
prime factors 素因数	44672937298245587611343766981042147763360981733660325560947<59> 3739971473428059207201432329069269692522093655633782357016708614134845136813<76>
factorization results 素因数分解の結果	(Number: 10111_238 N = 167075511129678852737794202235968858501153275029086027500890039982190544102925561073427089757964314241607891529572617424994019184841911 (135 digits) Divisors found: r1=44672937298245587611343766981042147763360981733660325560947 (pp59) r2=3739971473428059207201432329069269692522093655633782357016708614134845136813 (pp76) Version: Msieve v. 1.52 (SVN 958) Total time: 90.61 hours. Factorization parameters were as follows: # Murphy_E = 4.418e-11, selected by Erik Branger # expecting poly E from 4.61e-011 to > 5.30e-011 n: 167075511129678852737794202235968858501153275029086027500890039982190544102925561073427089757964314241607891529572617424994019184841911 Y0: -122197465854258136935320477 Y1: 175327940044693 c0: -3938610795765898483313197150027944 c1: -1525457886686151771005595460 c2: 12132282562948288991898 c3: -6060702653088183 c4: -3400000568 c5: 6132 skew: 1093424.68 type: gnfs # selected mechanically rlim: 12700000 alim: 12700000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6 Factor base limits: 12700000/12700000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 21055338 Relations: 2769800 relations Pruned matrix : 1703216 x 1703444 Polynomial selection time: 0.00 hours. Total sieving time: 88.97 hours. Total relation processing time: 0.11 hours. Matrix solve time: 1.26 hours. time per square root: 0.27 hours. Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,12700000,12700000,28,28,54,54,2.6,2.6,100000 total time: 90.61 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	300		Serge Batalov	December 10, 2014 19:45:25 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 25 秒 (日本時間)
45	11e6	585 / 4409	329	Cyp	January 7, 2015 19:51:59 UTC 2015 年 1 月 8 日 (木) 4 時 51 分 59 秒 (日本時間)
45	11e6	585 / 4409	256	Cyp	January 24, 2015 03:21:36 UTC 2015 年 1 月 24 日 (土) 12 時 21 分 36 秒 (日本時間)

91×10²³⁹-19

c194

composite cofactor 合成数の残り	15832786222406503659393588235139372097071125483657383107385390136163272981376178200490978891629105308185416365691444655301638336015182566862900667953778658181904911960783615402460973345718126813<194>

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 23:32:56 UTC 2014 年 12 月 8 日 (月) 8 時 32 分 56 秒 (日本時間)
45	11e6	591 / 4413	Cyp	February 3, 2015 06:48:37 UTC 2015 年 2 月 3 日 (火) 15 時 48 分 37 秒 (日本時間)

91×10²⁴⁰-19

c189

composite cofactor 合成数の残り	125766661809198359163698010473395120909644634925600696477370454645061085066706389352702215404676636431611360762995036295212085732861140671456610477304022752538693292906807199686152197871069<189>

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 19:45:26 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 26 秒 (日本時間)
45	11e6	585 / 4409	Cyp	June 16, 2015 09:16:32 UTC 2015 年 6 月 16 日 (火) 18 時 16 分 32 秒 (日本時間)

91×10²⁴³-19

c226

composite cofactor 合成数の残り

8557486109074628645556353055132570316559741227489517092972704624645982389833078841124142370330558327209243848574448652635986129071785496018092344702191147178715315033212963911346285340184431852121174771999532957628635445678389<226>

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 03:00:20 UTC 2014 年 12 月 7 日 (日) 12 時 0 分 20 秒 (日本時間)
45	11e6	591 / 4413	Cyp	June 27, 2015 07:37:25 UTC 2015 年 6 月 27 日 (土) 16 時 37 分 25 秒 (日本時間)

91×10²⁴⁴-19

c204

name 名前	Cyp
date 日付	May 16, 2015 00:27:42 UTC 2015 年 5 月 16 日 (土) 9 時 27 分 42 秒 (日本時間)
composite number 合成数	977848855894436332154352221332503694366012705732946001311722305225770551475057452445373793309975878508871992816060141155783114403501620720168904097182331732544988048789770771854606581687613430716691980623<204>
prime factors 素因数	8176894503689853457995613756386257220949513<43> 119586825469397761052851661041203869067545168105298926074432537825354056725134702884889374847855962769757495647050988620929916194369308870386546717064059606520471<162>
factorization results 素因数分解の結果	Run 62 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3315999798 Step 1 took 69452ms Step 2 took 21833ms ********** Factor found in step 2: 8176894503689853457995613756386257220949513 Found probable prime factor of 43 digits: 8176894503689853457995613756386257220949513 Probable prime cofactor 119586825469397761052851661041203869067545168105298926074432537825354056725134702884889374847855962769757495647050988620929916194369308870386546717064059606520471 has 162 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	300 / 2104	Serge Batalov	December 10, 2014 19:45:26 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 26 秒 (日本時間)
45	11e6	62 / 4409	Cyp	May 16, 2015 00:27:41 UTC 2015 年 5 月 16 日 (土) 9 時 27 分 41 秒 (日本時間)

91×10²⁴⁵-19

c208

composite cofactor 合成数の残り

5494514701043735138314452363066994995050932913573461894070092937316949817720033400748536448634320685773217988587968156578144925121248482001026042319261748952402872428792474556862199911648622222833457892767681<208>

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 19:45:27 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 27 秒 (日本時間)
45	11e6	585 / 4409	Cyp	February 5, 2015 01:52:34 UTC 2015 年 2 月 5 日 (木) 10 時 52 分 34 秒 (日本時間)

91×10²⁴⁶-19

c211

name 名前	Cyp
date 日付	August 1, 2015 12:34:59 UTC 2015 年 8 月 1 日 (土) 21 時 34 分 59 秒 (日本時間)
composite number 合成数	2578594828871231576820335089593353662777076826747518408725229184273703989837802026667035419846814885363113629016597082505334606080815062040382060662595260340399162719052787249619642929272466305803706015243987117<211>
prime factors 素因数	702170138434356277621225185876365319008587<42>
composite cofactor 合成数の残り	3672321974017265134621213656754288159284737995014141946913513556786415053269685045558119190536229148759033392427359995436279401266802499027939963829303774678284709481191<169>
factorization results 素因数分解の結果	Run 38 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3369005855 Step 1 took 68638ms Step 2 took 21537ms ********** Factor found in step 2: 702170138434356277621225185876365319008587 Found probable prime factor of 42 digits: 702170138434356277621225185876365319008587 Composite cofactor 3672321974017265134621213656754288159284737995014141946913513556786415053269685045558119190536229148759033392427359995436279401266802499027939963829303774678284709481191 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

c169

name 名前	Dmitry Domanov
date 日付	February 27, 2016 13:37:45 UTC 2016 年 2 月 27 日 (土) 22 時 37 分 45 秒 (日本時間)
composite number 合成数	3672321974017265134621213656754288159284737995014141946913513556786415053269685045558119190536229148759033392427359995436279401266802499027939963829303774678284709481191<169>
prime factors 素因数	5714893975568529357972521780121316100662518931<46> 642587944713696114191209240059838519723952250927310140090528427735159013272410910773259080263793808298490923656167706634461<123>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=115270573 Step 1 took 212418ms Step 2 took 57791ms ********** Factor found in step 2: 5714893975568529357972521780121316100662518931 Found probable prime factor of 46 digits: 5714893975568529357972521780121316100662518931

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 19:45:27 UTC 2014 年 12 月 11 日 (木) 4 時 45 分 27 秒 (日本時間)
45	11e6	1385 / 2304	585	Cyp	August 1, 2015 12:34:58 UTC 2015 年 8 月 1 日 (土) 21 時 34 分 58 秒 (日本時間)
45	11e6	1385 / 2304	800	Dmitry Domanov	February 10, 2016 13:37:14 UTC 2016 年 2 月 10 日 (水) 22 時 37 分 14 秒 (日本時間)
50	43e6	600 / 7231		Dmitry Domanov	February 26, 2016 21:43:01 UTC 2016 年 2 月 27 日 (土) 6 時 43 分 1 秒 (日本時間)

91×10²⁴⁷-19

c213

composite cofactor 合成数の残り

779731965651760971447139770058000180129167986694680451671979665332313558691203976082789256691423339527849286496629432659081493183814904538887134784864746294553224514466711800856298577188855688695970641566114015587<213>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	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 6, 2014 20:51:22 UTC 2014 年 12 月 7 日 (日) 5 時 51 分 22 秒 (日本時間)
45	11e6	1024 / 4413	Justin Card	February 18, 2015 22:21:33 UTC 2015 年 2 月 19 日 (木) 7 時 21 分 33 秒 (日本時間)

91×10²⁴⁸-19

c231

composite cofactor 合成数の残り

189919827466914185564315457522113839540026536618458201813528695045704643592733486181502342226670308456468115770981833259101240167475287426691634113302083060156210988787187289443341758610595106526352366100005483679081254397135104113<231>

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 00:43:07 UTC 2014 年 12 月 7 日 (日) 9 時 43 分 7 秒 (日本時間)
45	11e6	1024 / 4413	Justin Card	February 18, 2015 03:57:10 UTC 2015 年 2 月 18 日 (水) 12 時 57 分 10 秒 (日本時間)

91×10²⁵²-19

c178

name 名前	KTakahashi
date 日付	October 29, 2015 09:05:16 UTC 2015 年 10 月 29 日 (木) 18 時 5 分 16 秒 (日本時間)
composite number 合成数	9836538373101993196310792876896974165647566687469305819991032282895598821002776617151501014880365908605261436107450586886463813281681913909141695612375432326297136924098208290873<178>
prime factors 素因数	2737772152763531585185614877318977859<37> 3592898833152679922073435259656857767646768432639994601654764878636712615753076890540520827836151310162638154330019929697962317702255321678547<142>
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 9836538373101993196310792876896974165647566687469305819991032282895598821002776617151501014880365908605261436107450586886463813281681913909141695612375432326297136924098208290873 (178 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1784587686 Step 1 took 15615ms Step 2 took 7005ms ********** Factor found in step 2: 2737772152763531585185614877318977859 Found probable prime factor of 37 digits: 2737772152763531585185614877318977859 Probable prime cofactor 3592898833152679922073435259656857767646768432639994601654764878636712615753076890540520827836151310162638154330019929697962317702255321678547 has 142 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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	825		KTakahashi	October 28, 2015 21:20:22 UTC 2015 年 10 月 29 日 (木) 6 時 20 分 22 秒 (日本時間)

91×10²⁵⁴-19

c255

composite cofactor 合成数の残り

337037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<255>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	600	Dmitry Domanov	October 29, 2015 07:31:02 UTC 2015 年 10 月 29 日 (木) 16 時 31 分 2 秒 (日本時間)
45	11e6	800 / 4346	Dmitry Domanov	February 5, 2016 10:10:08 UTC 2016 年 2 月 5 日 (金) 19 時 10 分 8 秒 (日本時間)

91×10²⁵⁵-19

c235

composite cofactor 合成数の残り

1176905619039177436808119717374310457773491635476287416041712198566995572509960875806011811160011198355119942174073383453590311030823585836160380062824269812427976302236065152269548474759780074289768686602471819377840884831250198836367<235>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 14:01:12 UTC 2015 年 10 月 30 日 (金) 23 時 1 分 12 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 19, 2019 07:33:22 UTC 2019 年 4 月 19 日 (金) 16 時 33 分 22 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 23, 2019 09:28:36 UTC 2019 年 4 月 23 日 (火) 18 時 28 分 36 秒 (日本時間)

91×10²⁵⁷-19

c254

name 名前	Dmitry Domanov
date 日付	October 29, 2015 16:36:01 UTC 2015 年 10 月 30 日 (金) 1 時 36 分 1 秒 (日本時間)
composite number 合成数	54704924044317000006011530114760109890770497814808803284700054704924044317000006011530114760109890770497814808803284700054704924044317000006011530114760109890770497814808803284700054704924044317000006011530114760109890770497814808803284700054704924044317<254>
prime factors 素因数	34727832799593912268972311516650551<35>
composite cofactor 合成数の残り	1575247276730631132226213016593331291168037057537324151045892515003474207253979128920801643553715650366578249338841325810370711475598352064186383663519105903843733293078573655914467417284529024236362962747537033635387467<220>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=478253203 Step 1 took 45320ms Step 2 took 13985ms ********** Factor found in step 2: 34727832799593912268972311516650551 Found probable prime factor of 35 digits: 34727832799593912268972311516650551

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2200	600	Dmitry Domanov	October 29, 2015 07:33:29 UTC 2015 年 10 月 29 日 (木) 16 時 33 分 29 秒 (日本時間)
40	3e6	2200	1600	Youcef Lemsafer	April 19, 2019 07:33:55 UTC 2019 年 4 月 19 日 (金) 16 時 33 分 55 秒 (日本時間)
45	11e6	256 / 3993		Youcef Lemsafer	April 23, 2019 11:43:53 UTC 2019 年 4 月 23 日 (火) 20 時 43 分 53 秒 (日本時間)

91×10²⁵⁸-19

c254

name 名前	Dmitry Domanov
date 日付	February 5, 2016 06:34:04 UTC 2016 年 2 月 5 日 (金) 15 時 34 分 4 秒 (日本時間)
composite number 合成数	14830873445549263027822229653956608123830948251823015853225853504543544014854342080452110213272849445936495503719208213891834691499090019979305227361364336051946519544402086817977430670148499417114078263660008582349402666199901594710039311593228581733351<254>
prime factors 素因数	112289257666924735135112678274415269197<39>
composite cofactor 合成数の残り	132077402181613656598652071464277785954111573316705231063795139554713980222735684781655553851637043800018702034908840075995541756219730369624805205317901601093109543837444173292931403732662526624999898241319629870083<216>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3282516977 Step 1 took 107355ms Step 2 took 30529ms ********** Factor found in step 2: 112289257666924735135112678274415269197 Found probable prime factor of 39 digits: 112289257666924735135112678274415269197

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	600	Dmitry Domanov	October 29, 2015 07:33:12 UTC 2015 年 10 月 29 日 (木) 16 時 33 分 12 秒 (日本時間)
45	11e6	800 / 4346	Dmitry Domanov	February 4, 2016 18:14:31 UTC 2016 年 2 月 5 日 (金) 3 時 14 分 31 秒 (日本時間)

91×10²⁶¹-19

c194

name 名前	Dmitry Domanov
date 日付	October 30, 2015 21:44:48 UTC 2015 年 10 月 31 日 (土) 6 時 44 分 48 秒 (日本時間)
composite number 合成数	34129191275776643474084583942908717675417997668191250724230891926022327285483941296106145955783295743823990504437320265265519711590799031542785032703608793494600689071574710993439546048093107859<194>
prime factors 素因数	371367271761508224835455000650746231<36>
composite cofactor 合成数の残り	91901451395788005135962053951832455609858983641034338299546640002932574803399707111408658729804473240908307859837849414055121203214421680637682326401560904389<158>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2893314904 Step 1 took 34929ms Step 2 took 12201ms ********** Factor found in step 2: 371367271761508224835455000650746231 Found probable prime factor of 36 digits: 371367271761508224835455000650746231

c158

name 名前	yoyo
date 日付	April 15, 2022 21:03:23 UTC 2022 年 4 月 16 日 (土) 6 時 3 分 23 秒 (日本時間)
composite number 合成数	91901451395788005135962053951832455609858983641034338299546640002932574803399707111408658729804473240908307859837849414055121203214421680637682326401560904389<158>
prime factors 素因数	854986063508871037894974834617851698685916838031<48> 107488829722701635187771069910287395560008204386640312223453590225245084724849939405346078956829237478080147819<111>
factorization results 素因数分解の結果	GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 91901451395788005135962053951832455609858983641034338299546640002932574803399707111408658729804473240908307859837849414055121203214421680637682326401560904389 (158 digits) [Fri Apr 15 12:17:07 2022] Using MODMULN [mulredc:0, sqrredc:0] Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:3887383439070915875 dF=131072, k=4, d=1345890, d2=11, i0=71 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 34 135 614 3135 17884 111314 752662 5482978 4.3e+07 3.6e+08 Writing checkpoint to checkpnt at p = 110000000 Step 1 took 312937ms Using 20 small primes for NTT Estimated memory usage: 472.20MB Initializing tables of differences for F took 203ms Computing roots of F took 9281ms Building F from its roots took 4250ms Computing 1/F took 1609ms Initializing table of differences for G took 141ms Computing roots of G took 8859ms Building G from its roots took 4907ms Computing roots of G took 8157ms Building G from its roots took 4593ms Computing G * H took 1297ms Reducing G * H mod F took 1250ms Computing roots of G took 8656ms Building G from its roots took 5000ms Computing G * H took 1203ms Reducing G * H mod F took 1047ms Computing roots of G took 8125ms Building G from its roots took 5266ms Computing G * H took 1109ms Reducing G * H mod F took 1000ms Computing polyeval(F,G) took 9469ms Computing product of all F(g_i) took 47ms Step 2 took 86047ms ********** Factor found in step 2: 854986063508871037894974834617851698685916838031 Found prime factor of 48 digits: 854986063508871037894974834617851698685916838031 Prime cofactor 107488829722701635187771069910287395560008204386640312223453590225245084724849939405346078956829237478080147819 has 111 digits Peak memory usage: 616MB
software ソフトウェア	GMP-ECM 7.0.5-dev

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2650	300	Dmitry Domanov	October 30, 2015 14:00:54 UTC 2015 年 10 月 30 日 (金) 23 時 0 分 54 秒 (日本時間)
40	3e6	2650	2350	Ignacio Santos	November 5, 2015 15:05:40 UTC 2015 年 11 月 6 日 (金) 0 時 5 分 40 秒 (日本時間)
45	11e6	1792	800	Dmitry Domanov	March 1, 2016 12:23:08 UTC 2016 年 3 月 1 日 (火) 21 時 23 分 8 秒 (日本時間)
45	11e6	1792	992	Ignacio Santos	March 3, 2016 23:44:21 UTC 2016 年 3 月 4 日 (金) 8 時 44 分 21 秒 (日本時間)
50	43e6	600 / 7051		Dmitry Domanov	March 1, 2016 13:07:42 UTC 2016 年 3 月 1 日 (火) 22 時 7 分 42 秒 (日本時間)

91×10²⁶²-19

c229

composite cofactor 合成数の残り

7456022594644171773557775497367752645747099838632672351756105403292593610726657490077873896510803001275889041508845863697803785772454176993136340148777936363998329978435827523584166258181019593135097850673027150145016797181957863<229>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 14:00:44 UTC 2015 年 10 月 30 日 (金) 23 時 0 分 44 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 19, 2019 07:34:22 UTC 2019 年 4 月 19 日 (金) 16 時 34 分 22 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 23, 2019 11:57:19 UTC 2019 年 4 月 23 日 (火) 20 時 57 分 19 秒 (日本時間)

91×10²⁶³-19

c203

name 名前	Youcef Lemsafer
date 日付	April 23, 2019 12:35:35 UTC 2019 年 4 月 23 日 (火) 21 時 35 分 35 秒 (日本時間)
composite number 合成数	60630194879712649970441360882139556824980663204468738599784501242507428397827554536647322882705447230168801192002471477984124404587905656290526652157290062548352821642872084537618982704720253909301098619<203>
prime factors 素因数	52626105033791473115593099207138114488895961<44> 1152093525461968210988527240787355296985091058738546737143172883752313496621668427392529308298082980227401201966810665807307352545281222510722010294239288945779<160>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.1.2, GWNUM 29.4, --enable-asm-redc] [ECM] Input number is (9110^263-1)/(9319917371276336678219625372705964863670066093021025778469122551) (203 digits) Found number: 9110^263 + -1 [Tue Apr 23 14:21:49 2019] Using MODMULN [mulredc:1, sqrredc:1] Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:11620049666498097452 dF=32768, k=3, d=324870, d2=11, i0=23 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 122 686 4482 33676 284176 2657998 2.7e+07 3e+008 3.7e+09 4.4e+10 Using gwnum_ecmStage1(91, 10, 263, -1, 11000000, 1) Step 1 took 67125ms Using 25 small primes for NTT Estimated memory usage: 135.42MB Initializing tables of differences for F took 47ms Computing roots of F took 1750ms Building F from its roots took 1688ms Computing 1/F took 782ms Initializing table of differences for G took 47ms Computing roots of G took 1625ms Building G from its roots took 1687ms Computing roots of G took 1531ms Building G from its roots took 1657ms Computing G * H took 437ms Reducing G * H mod F took 391ms Computing roots of G took 1578ms Building G from its roots took 1703ms Computing G * H took 421ms Reducing G * H mod F took 469ms Computing polyeval(F,G) took 3125ms Computing product of all F(g_i) took 31ms Step 2 took 19141ms ********** Factor found in step 2: 52626105033791473115593099207138114488895961 Found prime factor of 44 digits: 52626105033791473115593099207138114488895961 Prime cofactor ((9110^263-1)/(9319917371276336678219625372705964863*670066093021025778469122551))/52626105033791473115593099207138114488895961 has 160 digits Peak memory usage: 188MB

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900 / 1922	300	Dmitry Domanov	October 30, 2015 13:58:29 UTC 2015 年 10 月 30 日 (金) 22 時 58 分 29 秒 (日本時間)
40	3e6	1900 / 1922	1600	Youcef Lemsafer	April 19, 2019 07:34:42 UTC 2019 年 4 月 19 日 (金) 16 時 34 分 42 秒 (日本時間)
45	11e6	120 / 4059		Youcef Lemsafer	April 23, 2019 12:34:36 UTC 2019 年 4 月 23 日 (火) 21 時 34 分 36 秒 (日本時間)

91×10²⁶⁴-19

c238

composite cofactor 合成数の残り

9999655156568971495294980373998053101909289498943358965337717415727782244850608396276429716950376829538199786666694138837542904455580427621381157493712888009493465668429227560494780822129685087853758343063324740232666960019381327455439813<238>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 13:56:33 UTC 2015 年 10 月 30 日 (金) 22 時 56 分 33 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 19, 2019 07:35:03 UTC 2019 年 4 月 19 日 (金) 16 時 35 分 3 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 23, 2019 13:46:12 UTC 2019 年 4 月 23 日 (火) 22 時 46 分 12 秒 (日本時間)

91×10²⁶⁶-19

c245

name 名前	Dmitry Domanov
date 日付	October 30, 2015 23:37:32 UTC 2015 年 10 月 31 日 (土) 8 時 37 分 32 秒 (日本時間)
composite number 合成数	65211241597702539912576215778063554725555764708806202273517597192959357812626488240955260983399293891557280492521547619354021761462298606188868654474945500266582791723955300509459415841012832602748856650481981731645731616704074601701032308249807<245>
prime factors 素因数	19156611134917471150776122038348254564323<41>
composite cofactor 合成数の残り	3404111569547892131550578260745286381517765749052944443735744631148814935681738822474229181673555918629927441095357334548622702247798412597123541094187898458479382608760683666274930881335890690427193238309<205>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4108770687 Step 1 took 26886ms Step 2 took 9542ms ********** Factor found in step 2: 19156611134917471150776122038348254564323 Found probable prime factor of 41 digits: 19156611134917471150776122038348254564323

c205

name 名前	Youcef Lemsafer
date 日付	April 23, 2019 15:02:50 UTC 2019 年 4 月 24 日 (水) 0 時 2 分 50 秒 (日本時間)
composite number 合成数	3404111569547892131550578260745286381517765749052944443735744631148814935681738822474229181673555918629927441095357334548622702247798412597123541094187898458479382608760683666274930881335890690427193238309<205>
prime factors 素因数	506838068951591327523403615176587934971<39>
composite cofactor 合成数の残り	6716369148413401136780116593912419571540248776357255734348856628323142569742344553844097845301876030282099060691929450984938639890482700610474189012205627776986883679<166>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.1.2, GWNUM 29.4, --enable-asm-redc] [ECM] Input number is (9110^266-1)/(934243589671613206572214919156611134917471150776122038348254564323) (205 digits) Found number: 9110^266 + -1 [Tue Apr 23 16:38:26 2019] Using MODMULN [mulredc:1, sqrredc:1] Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:4661286932523330784 dF=32768, k=3, d=324870, d2=11, i0=23 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 122 686 4482 33676 284176 2657998 2.7e+07 3e+008 3.7e+09 4.4e+10 Using gwnum_ecmStage1(91, 10, 266, -1, 11000000, 1) Step 1 took 63860ms Using 25 small primes for NTT Estimated memory usage: 135.42MB Initializing tables of differences for F took 47ms Computing roots of F took 1797ms Building F from its roots took 1656ms Computing 1/F took 735ms Initializing table of differences for G took 47ms Computing roots of G took 1468ms Building G from its roots took 1625ms Computing roots of G took 1469ms Building G from its roots took 1672ms Computing G H took 453ms Reducing G * H mod F took 438ms Computing roots of G took 1578ms Building G from its roots took 1687ms Computing G * H took 406ms Reducing G * H mod F took 422ms Computing polyeval(F,G) took 2860ms Computing product of all F(g_i) took 31ms Step 2 took 18531ms ********** Factor found in step 2: 506838068951591327523403615176587934971 Found prime factor of 39 digits: 506838068951591327523403615176587934971 Composite cofactor ((9110^266-1)/(934243589671613206572214919156611134917471150776122038348254564323))/506838068951591327523403615176587934971 has 166 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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 13:56:22 UTC 2015 年 10 月 30 日 (金) 22 時 56 分 22 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 19, 2019 07:35:22 UTC 2019 年 4 月 19 日 (金) 16 時 35 分 22 秒 (日本時間)
45	11e6	1456	256	Youcef Lemsafer	April 23, 2019 15:01:54 UTC 2019 年 4 月 24 日 (水) 0 時 1 分 54 秒 (日本時間)
45	11e6	1456	1200	Dmitry Domanov	April 25, 2019 11:33:23 UTC 2019 年 4 月 25 日 (木) 20 時 33 分 23 秒 (日本時間)
50	43e6	0 / 5998		-	-
55	11e7	480 / 17663		Serge Batalov	May 12, 2019 02:01:19 UTC 2019 年 5 月 12 日 (日) 11 時 1 分 19 秒 (日本時間)

91×10²⁶⁷-19

c248

composite cofactor 合成数の残り

12253564087124214509563234352934556476162884461107661241426473260173350003469405657826453055782067972349981440876341461916597436468993744089789413364935437491674710197438731535843096955231562969990158503223166688114335134023361500446136720964265741<248>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 13:56:12 UTC 2015 年 10 月 30 日 (金) 22 時 56 分 12 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 19, 2019 07:35:43 UTC 2019 年 4 月 19 日 (金) 16 時 35 分 43 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:32:08 UTC 2019 年 4 月 26 日 (金) 17 時 32 分 8 秒 (日本時間)

91×10²⁶⁸-19

c260

name 名前	Youcef Lemsafer
date 日付	April 19, 2019 09:15:59 UTC 2019 年 4 月 19 日 (金) 18 時 15 分 59 秒 (日本時間)
composite number 合成数	53044789534504209590866661587505657685116665549820281213182622568241824889336693701630903551585221609087467750042349517262654777443735443765448812958404061557973921254714867100342993887068382094053415192439595070898923356219731032439039562546527023959220931323<260>
prime factors 素因数	827634859729773939353909515508053693<36>
composite cofactor 合成数の残り	64092019458706153977184337279674541934705867726057346414488855831118365930411635677121243132281773506047806006625773744176757344964520006241511085045672478400526164485116270379337199282664186315969007064515378403992514469911<224>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.1.2, GWNUM 29.4, --enable-asm-redc] [ECM] Input number is (9110^268-1)/(92517594207) (260 digits) [Fri Apr 19 10:38:47 2019] Using MODMULN [mulredc:0, sqrredc:2] Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:107303085681268044 dF=16384, k=2, d=158340, d2=11, i0=8 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 324 2351 20272 201449 2247436 2.8e+07 3.9e+08 6e+009 1.1e+11 7.4e+15 Using gwnum_ecmStage1(91, 10, 268, -1, 3000000, 1) Step 1 took 17297ms Using 31 small primes for NTT Estimated memory usage: 81.94MB Initializing tables of differences for F took 0ms Computing roots of F took 562ms Building F from its roots took 954ms Computing 1/F took 437ms Initializing table of differences for G took 16ms Computing roots of G took 500ms Building G from its roots took 953ms Computing roots of G took 485ms Building G from its roots took 953ms Computing G H took 219ms Reducing G * H mod F took 297ms Computing polyeval(F,G) took 1671ms Computing product of all F(g_i) took 32ms Step 2 took 7156ms ********** Factor found in step 2: 827634859729773939353909515508053693 Found prime factor of 36 digits: 827634859729773939353909515508053693 Composite cofactor ((9110^268-1)/(9251*7594207))/827634859729773939353909515508053693 has 224 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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 13:56:02 UTC 2015 年 10 月 30 日 (金) 22 時 56 分 2 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 19, 2019 09:15:19 UTC 2019 年 4 月 19 日 (金) 18 時 15 分 19 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:32:29 UTC 2019 年 4 月 26 日 (金) 17 時 32 分 29 秒 (日本時間)

91×10²⁷¹-19

c245

composite cofactor 合成数の残り

14415544200221675308953381395209110689728730056480265494457100966440929529644998328085761318190228479169881210189674193086278149388314002482346946581558132400182635551241999424830427014644114300006453405844358993302113784431718486444597593940899<245>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 13:55:50 UTC 2015 年 10 月 30 日 (金) 22 時 55 分 50 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 19, 2019 13:34:36 UTC 2019 年 4 月 19 日 (金) 22 時 34 分 36 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:32:45 UTC 2019 年 4 月 26 日 (金) 17 時 32 分 45 秒 (日本時間)

91×10²⁷²-19

c234

composite cofactor 合成数の残り

585230682934590397220643842661949982776986577800201685768176701880774377076735590118228069687586595619291132528807906532426503825738891424364213093017286060678026832287095078304352693207033479175837874056300671587980010297846012936319<234>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 13:55:36 UTC 2015 年 10 月 30 日 (金) 22 時 55 分 36 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 19, 2019 14:54:07 UTC 2019 年 4 月 19 日 (金) 23 時 54 分 7 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:33:02 UTC 2019 年 4 月 26 日 (金) 17 時 33 分 2 秒 (日本時間)

91×10²⁷³-19

c270

composite cofactor 合成数の残り

671879268463759127590611410134302020806107456383222214838933557785308732215503429537584630946316108120879202014161147658390000073832886644369134900067187926846375912759061141013430202080610745638322221483893355778530873221550342953758463094631610812087920201416114765839<270>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	600	Dmitry Domanov	October 28, 2015 23:09:06 UTC 2015 年 10 月 29 日 (木) 8 時 9 分 6 秒 (日本時間)
45	11e6	800 / 4346	Dmitry Domanov	January 23, 2016 15:43:33 UTC 2016 年 1 月 24 日 (日) 0 時 43 分 33 秒 (日本時間)

91×10²⁷⁴-19

c243

name 名前	Dmitry Domanov
date 日付	October 30, 2015 23:01:37 UTC 2015 年 10 月 31 日 (土) 8 時 1 分 37 秒 (日本時間)
composite number 合成数	153615505730392507367889515376114665308695124932658181228268989225813532534986702616459578737813944489711751187994228784937130878978269562618573929132251413969949322337995594240424248157083623306063293269201679695738570987956845437097821712441<243>
prime factors 素因数	76192006253082632242520512821221467<35>
composite cofactor 合成数の残り	2016163023980975933731737127797608230717063353393835193200929819777190683150624044124702143259765697744828684350431328944019580680527249566958249900540738839576183914067985471403194570963772191172706204016123<208>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=449810935 Step 1 took 30181ms Step 2 took 9093ms ********** Factor found in step 2: 76192006253082632242520512821221467 Found probable prime factor of 35 digits: 76192006253082632242520512821221467

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 13:55:22 UTC 2015 年 10 月 30 日 (金) 22 時 55 分 22 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 19, 2019 16:27:15 UTC 2019 年 4 月 20 日 (土) 1 時 27 分 15 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:33:18 UTC 2019 年 4 月 26 日 (金) 17 時 33 分 18 秒 (日本時間)

91×10²⁷⁵-19

c275

composite cofactor 合成数の残り

14653784219001610305958132045088566827697262479871175523349436392914653784219001610305958132045088566827697262479871175523349436392914653784219001610305958132045088566827697262479871175523349436392914653784219001610305958132045088566827697262479871175523349436392914653784219<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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	600	Dmitry Domanov	October 28, 2015 23:07:32 UTC 2015 年 10 月 29 日 (木) 8 時 7 分 32 秒 (日本時間)
45	11e6	800 / 4346	Dmitry Domanov	January 23, 2016 15:35:34 UTC 2016 年 1 月 24 日 (日) 0 時 35 分 34 秒 (日本時間)

91×10²⁷⁶-19

c214

composite cofactor 合成数の残り

5666405976471448958399450503727831221072343023022346496469374970353579868316357452134681056992470597498724016420186102914219175874136312475747152450860417156555201507724766922577299503333085257464114576808567414233<214>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 13:49:15 UTC 2015 年 10 月 30 日 (金) 22 時 49 分 15 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:29:56 UTC 2019 年 4 月 23 日 (火) 16 時 29 分 56 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:33:38 UTC 2019 年 4 月 26 日 (金) 17 時 33 分 38 秒 (日本時間)

91×10²⁷⁷-19

c252

composite cofactor 合成数の残り

176224309086876101096478501134529823719269723864767599234858483033650893927817073517154983689952555374703125046672442631625840483423994557404420012701545409423162208530946069695023129661190984146446273994690778805323435549250778082491273695648276682389<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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 13:49:02 UTC 2015 年 10 月 30 日 (金) 22 時 49 分 2 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:30:17 UTC 2019 年 4 月 23 日 (火) 16 時 30 分 17 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:33:53 UTC 2019 年 4 月 26 日 (金) 17 時 33 分 53 秒 (日本時間)

91×10²⁷⁹-19

c241

composite cofactor 合成数の残り

3498484807418795407377910103734455464487015862146728717947280153743947692629119969959776843909558273654430966276039159117686638586782071232100989057637739684054424624663507401240963354674504630028095897129410330784599955069426423720435060661<241>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 13:48:02 UTC 2015 年 10 月 30 日 (金) 22 時 48 分 2 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:30:37 UTC 2019 年 4 月 23 日 (火) 16 時 30 分 37 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:34:10 UTC 2019 年 4 月 26 日 (金) 17 時 34 分 10 秒 (日本時間)

91×10²⁸⁰-19

c267

composite cofactor 合成数の残り

324995768489690839005320271074629578927901823352891765660511989137586329634840098031341988013389395158736213057280937937132403267670462791118475571402413208294118724199498457862897914522024599822348174604732283360385518771702694833043506061905411875008584816952303853<267>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 12:59:39 UTC 2015 年 10 月 30 日 (金) 21 時 59 分 39 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:36:25 UTC 2019 年 4 月 23 日 (火) 16 時 36 分 25 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:34:32 UTC 2019 年 4 月 26 日 (金) 17 時 34 分 32 秒 (日本時間)

91×10²⁸¹-19

c211

composite cofactor 合成数の残り

3521730460360615953633490712198423454408322059945717515776778169293670024626662446284456855087031786212021715086545793476123014469362503906433773218757604835798055441797944931699457127569359874648901765522247879<211>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 12:59:26 UTC 2015 年 10 月 30 日 (金) 21 時 59 分 26 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:36:47 UTC 2019 年 4 月 23 日 (火) 16 時 36 分 47 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:34:52 UTC 2019 年 4 月 26 日 (金) 17 時 34 分 52 秒 (日本時間)

91×10²⁸²-19

c258

composite cofactor 合成数の残り

172043188375130714004759037523646605672493779282743870517981442263012742670214146262863495625353612533569273250070421129978874361444855692822951869938083014769769790414887406934084729450815987855790136071921465973818763529893071720335964465908620348896752881<258>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 12:59:15 UTC 2015 年 10 月 30 日 (金) 21 時 59 分 15 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:37:04 UTC 2019 年 4 月 23 日 (火) 16 時 37 分 4 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:35:08 UTC 2019 年 4 月 26 日 (金) 17 時 35 分 8 秒 (日本時間)

91×10²⁸³-19

c262

composite cofactor 合成数の残り

1496119416344230235034624642294827073960767252816558173599302684536346518786389235989954701636487920546578592701323548686838768853007777524575637366949820923912381780286468125146380477375474853647891181326758211443487767491369270373232591201979156552555106690891<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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 12:58:57 UTC 2015 年 10 月 30 日 (金) 21 時 58 分 57 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:37:26 UTC 2019 年 4 月 23 日 (火) 16 時 37 分 26 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:35:38 UTC 2019 年 4 月 26 日 (金) 17 時 35 分 38 秒 (日本時間)

91×10²⁸⁴-19

c263

composite cofactor 合成数の残り

89399223369864027929406539381025571105379760620355323849387168881673011147495652845215618355879135734885915778981272043609517496161421060508782000887150840811259968733902348768451992843236196797860792921066657662936025278276165395697915963135450221385323719070927<263>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 12:26:31 UTC 2015 年 10 月 30 日 (金) 21 時 26 分 31 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:37:44 UTC 2019 年 4 月 23 日 (火) 16 時 37 分 44 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:35:56 UTC 2019 年 4 月 26 日 (金) 17 時 35 分 56 秒 (日本時間)

91×10²⁸⁵-19

c255

composite cofactor 合成数の残り

136908515312793687115577297300835453679749204557987602294747731773038613241623850699545371119504232005530174900476539567565211561989843507534637384530273484810543984498054484458115173262944616672268763658354330133889793269418145036540166967309730901216377<255>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 12:26:15 UTC 2015 年 10 月 30 日 (金) 21 時 26 分 15 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:38:03 UTC 2019 年 4 月 23 日 (火) 16 時 38 分 3 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:36:14 UTC 2019 年 4 月 26 日 (金) 17 時 36 分 14 秒 (日本時間)

91×10²⁸⁶-19

c267

name 名前	Dmitry Domanov
date 日付	October 30, 2015 12:58:47 UTC 2015 年 10 月 30 日 (金) 21 時 58 分 47 秒 (日本時間)
composite number 合成数	128334138662681423330363916506255099622843707523598408306399563621949446302117621672493011567610151871884796803599739597763593832447752065811634123455012504154996875529473235759031775677016038916786468716134884087684336081464683905253145348550063900549459308249323473<267>
prime factors 素因数	12535039558657527551640097152581633<35>
composite cofactor 合成数の残り	10238032202622398384182358067195790421476303993919350405281992111783090069084345666988070500337619867462417255054476140853300381391325681674149626180092689370942657426073273232335413664705248387954539463551789597492108253786824726481<233>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2156377159 Step 1 took 41652ms Step 2 took 11789ms ********** Factor found in step 2: 12535039558657527551640097152581633 Found probable prime factor of 35 digits: 12535039558657527551640097152581633

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 12:25:58 UTC 2015 年 10 月 30 日 (金) 21 時 25 分 58 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:38:23 UTC 2019 年 4 月 23 日 (火) 16 時 38 分 23 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:36:30 UTC 2019 年 4 月 26 日 (金) 17 時 36 分 30 秒 (日本時間)

91×10²⁸⁷-19

c277

composite cofactor 合成数の残り

3378557667648153976413887936360736939344277096188881011316448238280541039486720981077567614443947516904647620493047569962472251249381939354468342752757551699311826574870959855167630840545579747586850911197707653869883436479964610116863474860073765783233071343180983446387402417<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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 12:25:33 UTC 2015 年 10 月 30 日 (金) 21 時 25 分 33 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:38:43 UTC 2019 年 4 月 23 日 (火) 16 時 38 分 43 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:36:45 UTC 2019 年 4 月 26 日 (金) 17 時 36 分 45 秒 (日本時間)

91×10²⁸⁸-19

c283

name 名前	Dmitry Domanov
date 日付	October 29, 2015 06:46:13 UTC 2015 年 10 月 29 日 (木) 15 時 46 分 13 秒 (日本時間)
composite number 合成数	8127203778381691535463678856489924991267721434821210001319107690183489933832950952861057056274991709805596392521793632791320289260578962348986952980017885206908337555460351168437370026140123888950959291372133675890507095540103151184834673473512415822040315753477081240689997814585973<283>
prime factors 素因数	411354705494229787573171697910494053<36>
composite cofactor 合成数の残り	19757167402806565411539410117540116388642848638610994461290811976558280379779273216635290350028078795712220792213366765166312447396352489246097277882925417887067061976826673238751745602756492104835649323690339383530082901347909931361834419346866641<248>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4207815205 Step 1 took 35951ms Step 2 took 11166ms ********** Factor found in step 2: 411354705494229787573171697910494053 Found probable prime factor of 36 digits: 411354705494229787573171697910494053

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	2200	600	Dmitry Domanov	October 28, 2015 23:04:56 UTC 2015 年 10 月 29 日 (木) 8 時 4 分 56 秒 (日本時間)
40	3e6	2200	1600	Youcef Lemsafer	April 23, 2019 07:39:04 UTC 2019 年 4 月 23 日 (火) 16 時 39 分 4 秒 (日本時間)
45	11e6	256 / 3993		Youcef Lemsafer	April 26, 2019 08:37:04 UTC 2019 年 4 月 26 日 (金) 17 時 37 分 4 秒 (日本時間)

91×10²⁹²-19

c250

name 名前	Dmitry Domanov
date 日付	October 30, 2015 12:17:54 UTC 2015 年 10 月 30 日 (金) 21 時 17 分 54 秒 (日本時間)
composite number 合成数	7044248948016112309997799900772450343832566974371804021340877971827560870247143987409328503875779451338023247989398057404028891551243188574359277808861720472923265641975455516708559710256843762758216346886386442026207526424403250147051226424493755137<250>
prime factors 素因数	10353002085671804063732998655842410451469<41>
composite cofactor 合成数の残り	680406406733473822241994134334605245248009129516016488687157875640503451964182083780167862159477024447996398366260862144707585399376738652006138831176114595529151474530654647230965489311598067965254222928479173<210>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3267988075 Step 1 took 29020ms Step 2 took 10141ms ********** Factor found in step 2: 10353002085671804063732998655842410451469 Found probable prime factor of 41 digits: 10353002085671804063732998655842410451469

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 11:24:03 UTC 2015 年 10 月 30 日 (金) 20 時 24 分 3 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:39:25 UTC 2019 年 4 月 23 日 (火) 16 時 39 分 25 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:37:20 UTC 2019 年 4 月 26 日 (金) 17 時 37 分 20 秒 (日本時間)

91×10²⁹³-19

c245

composite cofactor 合成数の残り

63452200100911656062500406116291325769201681839005469409639025434363844127692137108347333831102947645329191853028806415821504748281653553176727848664483577021365495691349468397095906228412413083767250737039374272005501629386881693395743339400899<245>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 11:23:49 UTC 2015 年 10 月 30 日 (金) 20 時 23 分 49 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:39:42 UTC 2019 年 4 月 23 日 (火) 16 時 39 分 42 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:37:33 UTC 2019 年 4 月 26 日 (金) 17 時 37 分 33 秒 (日本時間)

91×10²⁹⁴-19

c293

composite cofactor 合成数の残り

41954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071<293>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	600	Dmitry Domanov	October 28, 2015 18:44:55 UTC 2015 年 10 月 29 日 (木) 3 時 44 分 55 秒 (日本時間)
45	11e6	0	-	-
50	43e6	1500 / 7531	Erik Branger	November 9, 2015 07:56:56 UTC 2015 年 11 月 9 日 (月) 16 時 56 分 56 秒 (日本時間)

91×10²⁹⁵-19

c290

name 名前	Erik Branger
date 日付	November 6, 2015 21:43:18 UTC 2015 年 11 月 7 日 (土) 6 時 43 分 18 秒 (日本時間)
composite number 合成数	60472899402401491806619895198471723570003660936294591536465523835193938249726891760088989526426092182096792125338656543370399233442869025734408475030972424823048654168978425994096383036142259638333518406986998924712104142573034150641182190691253751396442186612323459836658046952621078207873<290>
prime factors 素因数	51147237422097345520669117379085496284643<41> 1182329729821832825860258287102058756489702431915034883623113465873172305910735854558161180041434278166966648495694515230832709924940392763607235644020200447232783836390141347370791243553929968178149964009493918088698503778052758769459530133465537611<250>
factorization results 素因数分解の結果	Fri 2015/11/06 03:03:50 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Fri 2015/11/06 03:03:50 UTC Input number is 60472899402401491806619895198471723570003660936294591536465523835193938249726891760088989526426092182096792125338656543370399233442869025734408475030972424823048654168978425994096383036142259638333518406986998924712104142573034150641182190691253751396442186612323459836658046952621078207873 (290 digits) Fri 2015/11/06 03:03:50 UTC Run 16 out of 1500: Fri 2015/11/06 03:03:50 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2463598599 Fri 2015/11/06 03:03:50 UTC Step 1 took 263734ms Fri 2015/11/06 03:03:50 UTC Step 2 took 88500ms Fri 2015/11/06 03:03:50 UTC ********** Factor found in step 2: 51147237422097345520669117379085496284643 Fri 2015/11/06 03:03:50 UTC Found probable prime factor of 41 digits: 51147237422097345520669117379085496284643 Fri 2015/11/06 03:03:50 UTC Probable prime cofactor 1182329729821832825860258287102058756489702431915034883623113465873172305910735854558161180041434278166966648495694515230832709924940392763607235644020200447232783836390141347370791243553929968178149964009493918088698503778052758769459530133465537611 has 250 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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	600 / 2336	Dmitry Domanov	October 28, 2015 18:44:21 UTC 2015 年 10 月 29 日 (木) 3 時 44 分 21 秒 (日本時間)

91×10²⁹⁶-19

c251

composite cofactor 合成数の残り

54341239828765018737408989503704312112241785950183192101631361120935398182925198366425000518043791628370296851911872168428169661673628701190873159191689973468809973504314430586738486560391156383419999775078234012457522044022454086543797522707003536673<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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 11:23:21 UTC 2015 年 10 月 30 日 (金) 20 時 23 分 21 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:40:00 UTC 2019 年 4 月 23 日 (火) 16 時 40 分 0 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:37:47 UTC 2019 年 4 月 26 日 (金) 17 時 37 分 47 秒 (日本時間)

91×10²⁹⁷-19

c295

composite cofactor 合成数の残り

4352609173960874348304395656957000047830870043526091739608743483043956569570000478308700435260917396087434830439565695700004783087004352609173960874348304395656957000047830870043526091739608743483043956569570000478308700435260917396087434830439565695700004783087004352609173960874348304395656957<295>

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	600	Dmitry Domanov	October 28, 2015 18:42:34 UTC 2015 年 10 月 29 日 (木) 3 時 42 分 34 秒 (日本時間)
45	11e6	0	-	-
50	43e6	1500 / 7531	Erik Branger	November 6, 2015 21:43:56 UTC 2015 年 11 月 7 日 (土) 6 時 43 分 56 秒 (日本時間)

91×10²⁹⁸-19

c277

composite cofactor 合成数の残り

1323462580693284576451123502026175437043170424994242710973435608391120267992670022607383592127676314483406783409076493025259355997755170110933959186265216236571518162017325959929992736522155976293562173319018168349807458979560505676507300181065099449592827143064322765837709721<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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1900	300	Dmitry Domanov	October 30, 2015 11:23:02 UTC 2015 年 10 月 30 日 (金) 20 時 23 分 2 秒 (日本時間)
40	3e6	1900	1600	Youcef Lemsafer	April 23, 2019 07:40:16 UTC 2019 年 4 月 23 日 (火) 16 時 40 分 16 秒 (日本時間)
45	11e6	256 / 4059		Youcef Lemsafer	April 26, 2019 08:38:03 UTC 2019 年 4 月 26 日 (金) 17 時 38 分 3 秒 (日本時間)

91×10³⁰⁰-19

c239

name 名前	KTakahashi
date 日付	October 28, 2015 09:14:06 UTC 2015 年 10 月 28 日 (水) 18 時 14 分 6 秒 (日本時間)
composite number 合成数	67340037014094012225867309501936847796306935101282948493296831917625266640862252947879784811639643466015805209588556849962633833863040107352932978102506440425032882590990578947764157805818257601135744576252581847343969308713170023861969259<239>
prime factors 素因数	2644779897897985303472958329546693840639<40> 2109729025523029248459094471019103453465331<43>
composite cofactor 合成数の残り	12068606786271143818260198139218538325570631180361892763160986800600668047719850572876676914964114048180576737577750790948634984340941896920982455870388689751<158>
factorization results 素因数分解の結果	Input number is 67340037014094012225867309501936847796306935101282948493296831917625266640862252947879784811639643466015805209588556849962633833863040107352932978102506440425032882590990578947764157805818257601135744576252581847343969308713170023861969259 (239 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3243330205 Step 1 took 23369ms Step 2 took 9548ms ******** Factor found in step 2: 2644779897897985303472958329546693840639 Found probable prime factor of 40 digits: 2644779897897985303472958329546693840639 Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4252982112 Step 1 took 18938ms Step 2 took 7676ms ******** Factor found in step 2: 2109729025523029248459094471019103453465331 Found probable prime factor of 43 digits: 2109729025523029248459094471019103453465331 Composite cofactor 12068606786271143818260198139218538325570631180361892763160986800600668047719850572876676914964114048180576737577750790948634984340941896920982455870388689751 has 158 digits
software ソフトウェア	GMP-ECM 6.4.4

c158

name 名前	Lionel Debroux
date 日付	October 5, 2022 19:12:25 UTC 2022 年 10 月 6 日 (木) 4 時 12 分 25 秒 (日本時間)
composite number 合成数	12068606786271143818260198139218538325570631180361892763160986800600668047719850572876676914964114048180576737577750790948634984340941896920982455870388689751<158>
prime factors 素因数	496973618531082167891399876715955384354240528393741579889<57> 24284200078753955496541154097936505026533847827117932017143010823752440562175927468033421415831986759<101>
factorization results 素因数分解の結果	496973618531082167891399876715955384354240528393741579889

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	October 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	1494	136	KTakahashi	October 28, 2015 09:11:25 UTC 2015 年 10 月 28 日 (水) 18 時 11 分 25 秒 (日本時間)
			158	KTakahashi	October 28, 2015 21:18:52 UTC 2015 年 10 月 29 日 (木) 6 時 18 分 52 秒 (日本時間)
			1200	Dmitry Domanov	October 29, 2015 00:32:33 UTC 2015 年 10 月 29 日 (木) 9 時 32 分 33 秒 (日本時間)
45	11e6	1200		Dmitry Domanov	October 31, 2015 13:25:22 UTC 2015 年 10 月 31 日 (土) 22 時 25 分 22 秒 (日本時間)
50	43e6	1800	600	Dmitry Domanov	November 1, 2015 18:11:55 UTC 2015 年 11 月 2 日 (月) 3 時 11 分 55 秒 (日本時間)
50	43e6	1800	1200	Erik Branger	November 1, 2015 20:10:46 UTC 2015 年 11 月 2 日 (月) 5 時 10 分 46 秒 (日本時間)
55	11e7	6000 / 17040		yoyo@Home	August 2, 2021 23:43:37 UTC 2021 年 8 月 3 日 (火) 8 時 43 分 37 秒 (日本時間)