Contributed factorization results of 966...665

Table of contents 目次

29×10¹⁰¹-53
- c100
- ECM
29×10¹⁰⁴-53
- c104
- ECM
29×10¹²⁸-53
- c117
- ECM
29×10¹³¹-53
- c113
- ECM
29×10¹³⁸-53
- c123
- ECM
29×10¹⁵¹-53
- c134
- ECM
29×10¹⁵³-53
- c118
- ECM
29×10¹⁵⁶-53
- c155
- ECM
29×10¹⁵⁸-53
- c143
- ECM
29×10¹⁶¹-53
- c161
- ECM
29×10¹⁶³-53
- c161
- ECM
29×10¹⁶⁴-53
- c130
- ECM
29×10¹⁶⁶-53
- c127
- ECM
29×10¹⁶⁷-53
- c120
- ECM
29×10¹⁷⁰-53
- c153
- ECM
29×10¹⁷¹-53
- c139
- ECM
29×10¹⁷⁴-53
- c114
- ECM
29×10¹⁷⁵-53
- c171
- ECM
29×10¹⁷⁸-53
- c153
- ECM
29×10¹⁷⁹-53
- c169
- ECM
29×10¹⁸³-53
- c137
- ECM
29×10¹⁸⁶-53
- c135
- ECM
29×10¹⁸⁸-53
- c186
- ECM
29×10¹⁹¹-53
- c178
- ECM
29×10¹⁹⁴-53
- c135
- ECM
29×10¹⁹⁵-53
- c192
- ECM
29×10¹⁹⁶-53
- c168
- ECM
29×10¹⁹⁷-53
- c197
- ECM
29×10¹⁹⁹-53
- c147
- ECM
29×10²⁰⁰-53
- c129
- ECM
29×10²⁰¹-53
- c156
- ECM
29×10²⁰²-53
- c181
- ECM
29×10²⁰³-53
- c177
- ECM
29×10²⁰⁴-53
- c155
- ECM
29×10²⁰⁵-53
- c150
- ECM
29×10²⁰⁶-53
- c196
- ECM
29×10²⁰⁸-53
- c192
- ECM
29×10²¹⁰-53
- c161
- ECM
29×10²¹²-53
- c180
- c139
- ECM
29×10²¹³-53
- c167
- ECM
29×10²¹⁶-53
- c179
- ECM
29×10²¹⁷-53
- c182
- ECM
29×10²¹⁸-53
- c193
- ECM
29×10²²¹-53
- c151
- ECM
29×10²²³-53
- c152
- ECM
29×10²²⁴-53
- c176
- ECM
29×10²²⁵-53
- c211
- c169
- ECM
29×10²²⁶-53
- c227
- ECM
29×10²²⁸-53
- c189
- ECM
29×10²²⁹-53
- c189
- ECM
29×10²³¹-53
- c163
- ECM
29×10²³²-53
- c157
- c112
- ECM
29×10²³³-53
- c209
- ECM
29×10²³⁵-53
- c191
- ECM
29×10²³⁶-53
- c201
- ECM
29×10²³⁷-53
- c196
- ECM
29×10²³⁸-53
- c199
- ECM
29×10²³⁹-53
- c186
- ECM
29×10²⁴⁰-53
- c238
- ECM
29×10²⁴¹-53
- c212
- ECM
29×10²⁴³-53
- c150
- ECM
29×10²⁴⁴-53
- c235
- ECM
29×10²⁴⁶-53
- c218
- ECM
29×10²⁴⁷-53
- c210
- ECM
29×10²⁴⁹-53
- c233
- ECM
29×10²⁵¹-53
- c230
- ECM
29×10²⁵²-53
- c251
- ECM
29×10²⁵⁴-53
- c218
- ECM
29×10²⁵⁶-53
- c238
- ECM
29×10²⁵⁷-53
- c257
- ECM
29×10²⁵⁸-53
- c254
- ECM
29×10²⁶⁰-53
- c207
- ECM
29×10²⁶¹-53
- c217
- ECM
29×10²⁶²-53
- c158
- ECM
29×10²⁶³-53
- c241
- ECM
29×10²⁶⁵-53
- c240
- ECM
29×10²⁶⁶-53
- c238
- ECM
29×10²⁶⁹-53
- c210
- ECM
29×10²⁷⁰-53
- c217
- ECM
29×10²⁷¹-53
- c269
- ECM
29×10²⁷²-53
- c251
- ECM
29×10²⁷³-53
- c266
- ECM
29×10²⁷⁵-53
- c264
- ECM
29×10²⁷⁹-53
- c216
- ECM
29×10²⁸¹-53
- c254
- ECM
29×10²⁸²-53
- c258
- ECM
29×10²⁸³-53
- c246
- ECM
29×10²⁸⁴-53
- c266
- ECM
29×10²⁸⁵-53
- c279
- c236
- ECM
29×10²⁸⁶-53
- c272
- ECM
29×10²⁸⁷-53
- c200
- ECM
29×10²⁸⁸-53
- c289
- ECM
29×10²⁸⁹-53
- c287
- ECM
29×10²⁹¹-53
- c276
- ECM
29×10²⁹²-53
- c269
- ECM
29×10²⁹³-53
- c254
- ECM
29×10²⁹⁴-53
- c245
- ECM
29×10²⁹⁵-53
- c245
- ECM
29×10²⁹⁶-53
- c269
- ECM
29×10²⁹⁷-53
- c251
- ECM
29×10²⁹⁸-53
- c239
- c203
- ECM
29×10²⁹⁹-53
- c282
- ECM
29×10³⁰⁰-53
- c262
- ECM

29×10¹⁰¹-53

c100

name 名前	Rytis Slatkevičius
date 日付	February 20, 2023 14:50:40 UTC 2023 年 2 月 20 日 (月) 23 時 50 分 40 秒 (日本時間)
composite number 合成数	3945578231292517006802721088435374149659863945578231292517006802721088435374149659863945578231292517<100>
prime factors 素因数	849624080714131305646571712149897126417821307<45> 4643910549211546714858165645458837008362733971258576031<55>
factorization results 素因数分解の結果	P45 = 849624080714131305646571712149897126417821307 P55 = 4643910549211546714858165645458837008362733971258576031
software ソフトウェア	yafu2

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁰⁴-53

c104

name 名前	Rytis Slatkevičius
date 日付	February 20, 2023 20:37:51 UTC 2023 年 2 月 21 日 (火) 5 時 37 分 51 秒 (日本時間)
composite number 合成数	11372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549<104>
prime factors 素因数	6399503789051430329812157896443485057734025329<46> 1777098568027185267097050281435792620673465514281857972181<58>
factorization results 素因数分解の結果	P46 = 6399503789051430329812157896443485057734025329 P58 = 1777098568027185267097050281435792620673465514281857972181
software ソフトウェア	yafu2

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	0 / 1922	-	-
45	11e6	45 / 4434	Rytis Slatkevičius	February 20, 2023 20:37:22 UTC 2023 年 2 月 21 日 (火) 5 時 37 分 22 秒 (日本時間)

29×10¹²⁸-53

c117

name 名前	Norman Powell
date 日付	March 10, 2023 00:09:50 UTC 2023 年 3 月 10 日 (金) 9 時 9 分 50 秒 (日本時間)
composite number 合成数	157594949711174474863975535940516966185119565745288882405931491072911949615832369986679515689944186610634584552970167<117>
prime factors 素因数	399379669368928985603889765418905618943786168683373131749<57> 394599329405511988008645598657159169975609600782061493215083<60>
factorization results 素因数分解の結果	03/09/23 10:27:52, nfs: commencing nfs on c117: 157594949711174474863975535940516966185119565745288882405931491072911949615832369986679515689944186610634584552970167 03/09/23 10:27:52, nfs: commencing poly selection with 6 threads 03/09/23 10:27:52, nfs: setting deadline of 1425 seconds 03/09/23 10:27:52, nfs: expecting degree 5 poly E from 4.13e-10 to > 4.75e-10 03/09/23 10:27:52, nfs: searching for avg quality poly E > 4.28e-10 03/09/23 10:31:13, nfs: completed 19 ranges of size 250 in 201.4266 seconds 03/09/23 10:31:13, nfs: best poly = # norm 4.305447e-11 alpha -5.892133 e 4.452e-10 rroots 3 03/09/23 14:45:22, nfs: commencing msieve filtering 03/09/23 14:48:10, nfs: commencing msieve linear algebra 03/09/23 14:53:26, nfs: commencing msieve sqrt 03/09/23 14:59:34, prp60 = 394599329405511988008645598657159169975609600782061493215083 03/09/23 14:59:34, prp57 = 399379669368928985603889765418905618943786168683373131749 03/09/23 14:59:34, NFS elapsed time = 8472.1638 seconds.
software ソフトウェア	YAFU v2.09
execution environment 実行環境	Windows 10 v22H2

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹³¹-53

c113

name 名前	Lionel Debroux
date 日付	March 13, 2023 17:08:43 UTC 2023 年 3 月 14 日 (火) 2 時 8 分 43 秒 (日本時間)
composite number 合成数	38232933086154446389898132454308780500565439355271746602295952858664143398059849210285013659497971106527043650477<113>
prime factors 素因数	10080486245063095748740399762244001031373771477784523403<56> 3792766753179091206806026718044927075980657300650850369959<58>
factorization results 素因数分解の結果	10080486245063095748740399762244001031373771477784523403 3792766753179091206806026718044927075980657300650850369959
software ソフトウェア	CADO-NFS
execution environment 実行環境	10 x Xeon L5640, Debian sid amd64

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹³⁸-53

c123

name 名前	Bob Backstrom
date 日付	February 24, 2023 07:35:05 UTC 2023 年 2 月 24 日 (金) 16 時 35 分 5 秒 (日本時間)
composite number 合成数	662746363358262237173142163653609609348541502283577981232618046897754488601777957703290349251401282435379876072958877627817<123>
prime factors 素因数	1268829428154312872404126388785347984468864961949228911567<58> 522328966094613746675494646430625549761430545370949063103097023751<66>
factorization results 素因数分解の結果	Number: n N=662746363358262237173142163653609609348541502283577981232618046897754488601777957703290349251401282435379876072958877627817 ( 123 digits) SNFS difficulty: 138 digits. Divisors found: Fri Feb 24 18:32:26 2023 prp58 factor: 1268829428154312872404126388785347984468864961949228911567 Fri Feb 24 18:32:26 2023 prp66 factor: 522328966094613746675494646430625549761430545370949063103097023751 Fri Feb 24 18:32:26 2023 elapsed time 00:02:45 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.088). Factorization parameters were as follows: # # N = 29x10^138-5 = 96(137)5 # n: 662746363358262237173142163653609609348541502283577981232618046897754488601777957703290349251401282435379876072958877627817 m: 10000000000000000000000000000000000 deg: 4 c4: 580 c0: -1 skew: 0.20 # Murphy_E = 4.427e-09 type: snfs lss: 1 rlim: 1440000 alim: 1440000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1440000/1440000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved special-q in [100000, 4720000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 477560 hash collisions in 6570392 relations (6812175 unique) Msieve: matrix is 225001 x 225228 (61.0 MB) Sieving start time: 2023/02/24 17:46:51 Sieving end time : 2023/02/24 18:27:43 Total sieving time: 0hrs 40min 52secs. Total relation processing time: 0hrs 1min 20sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 13sec. Prototype def-par.txt line would be: snfs,138,4,0,0,0,0,0,0,0,0,1440000,1440000,26,26,48,48,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁵¹-53

c134

name 名前	Bob Backstrom
date 日付	February 26, 2023 15:28:16 UTC 2023 年 2 月 27 日 (月) 0 時 28 分 16 秒 (日本時間)
composite number 合成数	55269320841207071935408097344638693928652624322111871885439356051438705537044475823716621952508035352065002378425458162914207606933631<134>
prime factors 素因数	244963908464653074718415255771306045367857640509440740440779<60> 225622301618289726841817438755726975432869456676279588855812901189353221789<75>
factorization results 素因数分解の結果	Number: n N=55269320841207071935408097344638693928652624322111871885439356051438705537044475823716621952508035352065002378425458162914207606933631 ( 134 digits) SNFS difficulty: 151 digits. Divisors found: Mon Feb 27 02:25:07 2023 prp60 factor: 244963908464653074718415255771306045367857640509440740440779 Mon Feb 27 02:25:07 2023 prp75 factor: 225622301618289726841817438755726975432869456676279588855812901189353221789 Mon Feb 27 02:25:07 2023 elapsed time 00:10:34 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.099). Factorization parameters were as follows: # # N = 29x10^151-5 = 96(150)5 # n: 55269320841207071935408097344638693928652624322111871885439356051438705537044475823716621952508035352065002378425458162914207606933631 m: 1000000000000000000000000000000 deg: 5 c5: 58 c0: -1 skew: 0.44 # Murphy_E = 1.333e-09 type: snfs lss: 1 rlim: 2400000 alim: 2400000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved special-q in [100000, 48400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 403995 hash collisions in 6938014 relations (7185652 unique) Msieve: matrix is 522749 x 522974 (146.8 MB) Sieving start time: 2023/02/26 21:22:23 Sieving end time : 2023/02/27 02:13:45 Total sieving time: 4hrs 51min 22secs. Total relation processing time: 0hrs 7min 20sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 42sec. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁵³-53

c118

name 名前	Lionel Debroux
date 日付	March 15, 2023 16:41:05 UTC 2023 年 3 月 16 日 (木) 1 時 41 分 5 秒 (日本時間)
composite number 合成数	1400215761958362246150870822779112094137732116913240721313638242652313026057405560505796410015752749162702245083251561<118>
prime factors 素因数	576188575407694338155058360601160063216864535826596857<54> 2430134545738971222916173842129241224582476231497623467282233073<64>
factorization results 素因数分解の結果	576188575407694338155058360601160063216864535826596857 2430134545738971222916173842129241224582476231497623467282233073
software ソフトウェア	CADO-NFS

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁵⁶-53

c155

name 名前	Bob Backstrom
date 日付	February 28, 2023 17:51:40 UTC 2023 年 3 月 1 日 (水) 2 時 51 分 40 秒 (日本時間)
composite number 合成数	19931271477663230240549828178694158075601374570446735395189003436426116838487972508591065292096219931271477663230240549828178694158075601374570446735395189<155>
prime factors 素因数	15283528965067559300466997919774629440538191549038859809548966749745162109<74> 1304101397211251077209327058328430235935340294313461786903201175052526073665420121<82>
factorization results 素因数分解の結果	Number: n N=19931271477663230240549828178694158075601374570446735395189003436426116838487972508591065292096219931271477663230240549828178694158075601374570446735395189 ( 155 digits) SNFS difficulty: 156 digits. Divisors found: Wed Mar 1 04:33:17 2023 prp74 factor: 15283528965067559300466997919774629440538191549038859809548966749745162109 Wed Mar 1 04:33:17 2023 prp82 factor: 1304101397211251077209327058328430235935340294313461786903201175052526073665420121 Wed Mar 1 04:33:17 2023 elapsed time 00:08:57 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.083). Factorization parameters were as follows: # # N = 29x10^156-5 = 96(155)5 # n: 19931271477663230240549828178694158075601374570446735395189003436426116838487972508591065292096219931271477663230240549828178694158075601374570446735395189 m: 10000000000000000000000000000000 deg: 5 c5: 58 c0: -1 skew: 0.44 # Murphy_E = 8.576e-10 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2900000/2900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 12650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1012561 hash collisions in 12603388 relations (12417082 unique) Msieve: matrix is 462614 x 462844 (127.8 MB) Sieving start time: 2023/03/01 03:03:13 Sieving end time : 2023/03/01 04:24:11 Total sieving time: 1hrs 20min 58secs. Total relation processing time: 0hrs 5min 35sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 2sec. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁵⁸-53

c143

name 名前	Bob Backstrom
date 日付	March 4, 2023 09:27:12 UTC 2023 年 3 月 4 日 (土) 18 時 27 分 12 秒 (日本時間)
composite number 合成数	36354557873648682986597984898436629628561516194769347287157712866228084308094922022908666618001931156089851796595132450973500281568731129738033<143>
prime factors 素因数	35297313335205705172937107996731888738718608966435086180761<59> 1029952549883973100390845564649451435002824849065017423551682977661920669586660625753<85>
factorization results 素因数分解の結果	Number: n N=36354557873648682986597984898436629628561516194769347287157712866228084308094922022908666618001931156089851796595132450973500281568731129738033 ( 143 digits) SNFS difficulty: 158 digits. Divisors found: Sat Mar 4 19:47:49 2023 prp59 factor: 35297313335205705172937107996731888738718608966435086180761 Sat Mar 4 19:47:49 2023 prp85 factor: 1029952549883973100390845564649451435002824849065017423551682977661920669586660625753 Sat Mar 4 19:47:49 2023 elapsed time 00:10:52 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.111). Factorization parameters were as follows: # # N = 29x10^158-5 = 96(157)5 # n: 36354557873648682986597984898436629628561516194769347287157712866228084308094922022908666618001931156089851796595132450973500281568731129738033 m: 10000000000000000000000000000000 deg: 5 c5: 5800 c0: -1 skew: 0.18 # Murphy_E = 6.076e-10 type: snfs lss: 1 rlim: 3100000 alim: 3100000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 3100000/3100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 19950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1403754 hash collisions in 15032437 relations (14618776 unique) Msieve: matrix is 487757 x 487983 (132.4 MB) Sieving start time: 2023/03/04 17:32:44 Sieving end time : 2023/03/04 19:36:48 Total sieving time: 2hrs 4min 4secs. Total relation processing time: 0hrs 6min 13sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 40sec. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁶¹-53

c161

name 名前	Bob Backstrom
date 日付	March 2, 2023 23:27:54 UTC 2023 年 3 月 3 日 (金) 8 時 27 分 54 秒 (日本時間)
composite number 合成数	27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<161>
prime factors 素因数	1209220487569578242033469857227692943099687496542063<52> 22840373532340127515289908912764197811985496847960044080070657304664087901147095162676759094999558375680901613<110>
factorization results 素因数分解の結果	Number: n N=27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619 ( 161 digits) SNFS difficulty: 161 digits. Divisors found: Fri Mar 3 10:23:49 2023 prp52 factor: 1209220487569578242033469857227692943099687496542063 Fri Mar 3 10:23:49 2023 prp110 factor: 22840373532340127515289908912764197811985496847960044080070657304664087901147095162676759094999558375680901613 Fri Mar 3 10:23:49 2023 elapsed time 00:11:12 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.088). Factorization parameters were as follows: # # N = 29x10^161-5 = 96(160)5 # n: 27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619 m: 100000000000000000000000000000000 deg: 5 c5: 58 c0: -1 skew: 0.44 # Murphy_E = 5.49e-10 type: snfs lss: 1 rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 12950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1097459 hash collisions in 13043885 relations (12802315 unique) Msieve: matrix is 553757 x 553985 (154.5 MB) Sieving start time: 2023/03/03 08:32:51 Sieving end time : 2023/03/03 10:12:29 Total sieving time: 1hrs 39min 38secs. Total relation processing time: 0hrs 8min 12sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 30sec. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁶³-53

c161

name 名前	Bob Backstrom
date 日付	March 5, 2023 07:02:36 UTC 2023 年 3 月 5 日 (日) 16 時 2 分 36 秒 (日本時間)
composite number 合成数	44241037376048817696414950419527078565980167810831426392067124332570556826849733028222730739893211289092295957284515636918382913806254767353165522501906941266209<161>
prime factors 素因数	219903425515295656178492750824656394359199349381140982951<57> 201183939142283062501269580821672068651511048136470664949497609225806567819238926612346501064859100327159<105>
factorization results 素因数分解の結果	Number: n N=44241037376048817696414950419527078565980167810831426392067124332570556826849733028222730739893211289092295957284515636918382913806254767353165522501906941266209 ( 161 digits) SNFS difficulty: 163 digits. Divisors found: Sun Mar 5 17:52:51 2023 prp57 factor: 219903425515295656178492750824656394359199349381140982951 Sun Mar 5 17:52:51 2023 prp105 factor: 201183939142283062501269580821672068651511048136470664949497609225806567819238926612346501064859100327159 Sun Mar 5 17:52:51 2023 elapsed time 00:13:26 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.100). Factorization parameters were as follows: # # N = 29x10^163-5 = 96(162)5 # n: 44241037376048817696414950419527078565980167810831426392067124332570556826849733028222730739893211289092295957284515636918382913806254767353165522501906941266209 m: 100000000000000000000000000000000 deg: 5 c5: 5800 c0: -1 skew: 0.18 # Murphy_E = 3.886e-10 type: snfs lss: 1 rlim: 3800000 alim: 3800000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3800000/3800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 20300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1280174 hash collisions in 13934847 relations (13558824 unique) Msieve: matrix is 608692 x 608924 (170.0 MB) Sieving start time: 2023/03/05 15:21:44 Sieving end time : 2023/03/05 17:39:14 Total sieving time: 2hrs 17min 30secs. Total relation processing time: 0hrs 9min 58sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 41sec. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁶⁴-53

c130

name 名前	Bob Backstrom
date 日付	March 9, 2023 07:19:34 UTC 2023 年 3 月 9 日 (木) 16 時 19 分 34 秒 (日本時間)
composite number 合成数	8990339054885029188459370413427834754598185467801911673003564742256161722769266241938776411371029480307127981555595960540985525443<130>
prime factors 素因数	744020969163098215963141134440777859739159343<45> 12083448488014643976225980268496637983192551156602077026912043145425025321257520982701<86>
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 8990339054885029188459370413427834754598185467801911673003564742256161722769266241938776411371029480307127981555595960540985525443 (130 digits) Using B1=36570000, B2=192389627446, polynomial Dickson(12), sigma=1:3940069733 Step 1 took 58044ms Step 2 took 24140ms ********** Factor found in step 2: 744020969163098215963141134440777859739159343 Found prime factor of 45 digits: 744020969163098215963141134440777859739159343 Prime cofactor 12083448488014643976225980268496637983192551156602077026912043145425025321257520982701 has 86 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁶⁶-53

c127

name 名前	anonymous
date 日付	March 18, 2023 10:28:17 UTC 2023 年 3 月 18 日 (土) 19 時 28 分 17 秒 (日本時間)
composite number 合成数	6294577474718317360048262325272374623806818709004805193605624002774059326886274655283606784126340328800628206736626221492669469<127>
prime factors 素因数	6235902953461627177163220237038238279271003932221<49> 1009409145988091303989708330683287783908248489255090455602010780034556343425889<79>
factorization results 素因数分解の結果	Sat Mar 18 18:08:03 2023 Msieve v. 1.54 (SVN Unversioned directory) Sat Mar 18 18:08:03 2023 random seeds: 80e4b330 5e83851d Sat Mar 18 18:08:03 2023 factoring 6294577474718317360048262325272374623806818709004805193605624002774059326886274655283606784126340328800628206736626221492669469 (127 digits) Sat Mar 18 18:08:03 2023 searching for 15-digit factors Sat Mar 18 18:08:04 2023 commencing number field sieve (127-digit input) Sat Mar 18 18:08:04 2023 R0: -1000000000000000000000000000000000 Sat Mar 18 18:08:04 2023 R1: 1 Sat Mar 18 18:08:04 2023 A0: -1 Sat Mar 18 18:08:04 2023 A1: 0 Sat Mar 18 18:08:04 2023 A2: 0 Sat Mar 18 18:08:04 2023 A3: 0 Sat Mar 18 18:08:04 2023 A4: 0 Sat Mar 18 18:08:04 2023 A5: 58 Sat Mar 18 18:08:04 2023 skew 0.44, size 1.132e-011, alpha 1.560, combined = 3.498e-010 rroots = 1 Sat Mar 18 18:08:04 2023 Sat Mar 18 18:08:04 2023 commencing relation filtering Sat Mar 18 18:08:04 2023 estimated available RAM is 15734.8 MB Sat Mar 18 18:08:04 2023 commencing duplicate removal, pass 1 Sat Mar 18 18:08:21 2023 error -15 reading relation 2900807 Sat Mar 18 18:08:21 2023 error -5 reading relation 2904483 Sat Mar 18 18:08:21 2023 error -1 reading relation 2908109 Sat Mar 18 18:08:21 2023 error -9 reading relation 2922866 Sat Mar 18 18:08:21 2023 error -9 reading relation 2926541 Sat Mar 18 18:08:21 2023 error -15 reading relation 2930070 Sat Mar 18 18:09:14 2023 error -1 reading relation 11652672 Sat Mar 18 18:09:14 2023 error -11 reading relation 11652956 Sat Mar 18 18:09:14 2023 error -15 reading relation 11653857 Sat Mar 18 18:09:14 2023 error -9 reading relation 11655323 Sat Mar 18 18:09:14 2023 skipped 9 relations with composite factors Sat Mar 18 18:09:14 2023 found 1171594 hash collisions in 11655586 relations Sat Mar 18 18:09:22 2023 added 2429 free relations Sat Mar 18 18:09:22 2023 commencing duplicate removal, pass 2 Sat Mar 18 18:09:27 2023 found 844870 duplicates and 10813145 unique relations Sat Mar 18 18:09:27 2023 memory use: 49.3 MB Sat Mar 18 18:09:27 2023 reading ideals above 720000 Sat Mar 18 18:09:27 2023 commencing singleton removal, initial pass Sat Mar 18 18:10:28 2023 memory use: 344.5 MB Sat Mar 18 18:10:28 2023 reading all ideals from disk Sat Mar 18 18:10:28 2023 memory use: 312.8 MB Sat Mar 18 18:10:28 2023 commencing in-memory singleton removal Sat Mar 18 18:10:29 2023 begin with 10813144 relations and 11623246 unique ideals Sat Mar 18 18:10:34 2023 reduce to 4638310 relations and 4257495 ideals in 18 passes Sat Mar 18 18:10:34 2023 max relations containing the same ideal: 79 Sat Mar 18 18:10:35 2023 removing 864980 relations and 742030 ideals in 122950 cliques Sat Mar 18 18:10:36 2023 commencing in-memory singleton removal Sat Mar 18 18:10:36 2023 begin with 3773330 relations and 4257495 unique ideals Sat Mar 18 18:10:38 2023 reduce to 3628046 relations and 3364960 ideals in 11 passes Sat Mar 18 18:10:38 2023 max relations containing the same ideal: 68 Sat Mar 18 18:10:39 2023 removing 659050 relations and 536100 ideals in 122950 cliques Sat Mar 18 18:10:39 2023 commencing in-memory singleton removal Sat Mar 18 18:10:39 2023 begin with 2968996 relations and 3364960 unique ideals Sat Mar 18 18:10:40 2023 reduce to 2862729 relations and 2718783 ideals in 10 passes Sat Mar 18 18:10:40 2023 max relations containing the same ideal: 56 Sat Mar 18 18:10:41 2023 removing 81473 relations and 72442 ideals in 9031 cliques Sat Mar 18 18:10:42 2023 commencing in-memory singleton removal Sat Mar 18 18:10:42 2023 begin with 2781256 relations and 2718783 unique ideals Sat Mar 18 18:10:43 2023 reduce to 2779683 relations and 2644760 ideals in 8 passes Sat Mar 18 18:10:43 2023 max relations containing the same ideal: 54 Sat Mar 18 18:10:43 2023 relations with 0 large ideals: 2944 Sat Mar 18 18:10:43 2023 relations with 1 large ideals: 2702 Sat Mar 18 18:10:43 2023 relations with 2 large ideals: 35968 Sat Mar 18 18:10:43 2023 relations with 3 large ideals: 193509 Sat Mar 18 18:10:43 2023 relations with 4 large ideals: 538104 Sat Mar 18 18:10:43 2023 relations with 5 large ideals: 825758 Sat Mar 18 18:10:43 2023 relations with 6 large ideals: 733100 Sat Mar 18 18:10:43 2023 relations with 7+ large ideals: 447598 Sat Mar 18 18:10:43 2023 commencing 2-way merge Sat Mar 18 18:10:45 2023 reduce to 1610885 relation sets and 1475962 unique ideals Sat Mar 18 18:10:45 2023 commencing full merge Sat Mar 18 18:11:07 2023 memory use: 169.6 MB Sat Mar 18 18:11:07 2023 found 724958 cycles, need 712162 Sat Mar 18 18:11:07 2023 weight of 712162 cycles is about 64109290 (90.02/cycle) Sat Mar 18 18:11:07 2023 distribution of cycle lengths: Sat Mar 18 18:11:07 2023 1 relations: 67567 Sat Mar 18 18:11:07 2023 2 relations: 60046 Sat Mar 18 18:11:07 2023 3 relations: 60124 Sat Mar 18 18:11:07 2023 4 relations: 57321 Sat Mar 18 18:11:07 2023 5 relations: 54660 Sat Mar 18 18:11:07 2023 6 relations: 50467 Sat Mar 18 18:11:07 2023 7 relations: 46533 Sat Mar 18 18:11:07 2023 8 relations: 42419 Sat Mar 18 18:11:07 2023 9 relations: 38673 Sat Mar 18 18:11:07 2023 10+ relations: 234352 Sat Mar 18 18:11:07 2023 heaviest cycle: 26 relations Sat Mar 18 18:11:07 2023 commencing cycle optimization Sat Mar 18 18:11:08 2023 start with 5523416 relations Sat Mar 18 18:11:17 2023 pruned 170975 relations Sat Mar 18 18:11:17 2023 memory use: 166.5 MB Sat Mar 18 18:11:17 2023 distribution of cycle lengths: Sat Mar 18 18:11:17 2023 1 relations: 67567 Sat Mar 18 18:11:17 2023 2 relations: 61461 Sat Mar 18 18:11:17 2023 3 relations: 62311 Sat Mar 18 18:11:17 2023 4 relations: 59084 Sat Mar 18 18:11:17 2023 5 relations: 56442 Sat Mar 18 18:11:17 2023 6 relations: 51852 Sat Mar 18 18:11:17 2023 7 relations: 47795 Sat Mar 18 18:11:17 2023 8 relations: 43333 Sat Mar 18 18:11:17 2023 9 relations: 39343 Sat Mar 18 18:11:17 2023 10+ relations: 222974 Sat Mar 18 18:11:17 2023 heaviest cycle: 26 relations Sat Mar 18 18:11:18 2023 RelProcTime: 194 Sat Mar 18 18:11:18 2023 elapsed time 00:03:15 Sat Mar 18 18:11:18 2023 Sat Mar 18 18:11:18 2023 Sat Mar 18 18:11:18 2023 Msieve v. 1.54 (SVN Unversioned directory) Sat Mar 18 18:11:18 2023 random seeds: 1b213288 c1d562d6 Sat Mar 18 18:11:18 2023 factoring 6294577474718317360048262325272374623806818709004805193605624002774059326886274655283606784126340328800628206736626221492669469 (127 digits) Sat Mar 18 18:11:18 2023 searching for 15-digit factors Sat Mar 18 18:11:18 2023 commencing number field sieve (127-digit input) Sat Mar 18 18:11:18 2023 R0: -1000000000000000000000000000000000 Sat Mar 18 18:11:18 2023 R1: 1 Sat Mar 18 18:11:18 2023 A0: -1 Sat Mar 18 18:11:18 2023 A1: 0 Sat Mar 18 18:11:19 2023 A2: 0 Sat Mar 18 18:11:19 2023 A3: 0 Sat Mar 18 18:11:19 2023 A4: 0 Sat Mar 18 18:11:19 2023 A5: 58 Sat Mar 18 18:11:19 2023 skew 0.44, size 1.132e-011, alpha 1.560, combined = 3.498e-010 rroots = 1 Sat Mar 18 18:11:19 2023 Sat Mar 18 18:11:19 2023 commencing linear algebra Sat Mar 18 18:11:19 2023 read 712162 cycles Sat Mar 18 18:11:20 2023 cycles contain 2666290 unique relations Sat Mar 18 18:11:31 2023 read 2666290 relations Sat Mar 18 18:11:34 2023 using 20 quadratic characters above 4294917295 Sat Mar 18 18:11:43 2023 building initial matrix Sat Mar 18 18:12:05 2023 memory use: 324.4 MB Sat Mar 18 18:12:06 2023 read 712162 cycles Sat Mar 18 18:12:06 2023 matrix is 711984 x 712162 (261.2 MB) with weight 76444293 (107.34/col) Sat Mar 18 18:12:06 2023 sparse part has weight 60626293 (85.13/col) Sat Mar 18 18:12:11 2023 filtering completed in 2 passes Sat Mar 18 18:12:11 2023 matrix is 711352 x 711529 (261.1 MB) with weight 76418174 (107.40/col) Sat Mar 18 18:12:11 2023 sparse part has weight 60614958 (85.19/col) Sat Mar 18 18:12:12 2023 matrix starts at (0, 0) Sat Mar 18 18:12:12 2023 matrix is 711352 x 711529 (261.1 MB) with weight 76418174 (107.40/col) Sat Mar 18 18:12:12 2023 sparse part has weight 60614958 (85.19/col) Sat Mar 18 18:12:12 2023 saving the first 112 matrix rows for later Sat Mar 18 18:12:12 2023 matrix includes 128 packed rows Sat Mar 18 18:12:12 2023 matrix is 711240 x 711529 (237.5 MB) with weight 57670071 (81.05/col) Sat Mar 18 18:12:12 2023 sparse part has weight 53724903 (75.51/col) Sat Mar 18 18:12:12 2023 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Sat Mar 18 18:12:15 2023 commencing Lanczos iteration (10 threads) Sat Mar 18 18:12:15 2023 memory use: 267.7 MB Sat Mar 18 18:12:17 2023 linear algebra at 0.4%, ETA 0h 7m Sat Mar 18 18:20:40 2023 lanczos halted after 5591 iterations (dim = 711240) Sat Mar 18 18:20:41 2023 recovered 38 nontrivial dependencies Sat Mar 18 18:20:41 2023 BLanczosTime: 562 Sat Mar 18 18:20:41 2023 elapsed time 00:09:23 Sat Mar 18 18:20:41 2023 Sat Mar 18 18:20:41 2023 Sat Mar 18 18:20:41 2023 Msieve v. 1.54 (SVN Unversioned directory) Sat Mar 18 18:20:41 2023 random seeds: eda7d518 b640fe32 Sat Mar 18 18:20:41 2023 factoring 6294577474718317360048262325272374623806818709004805193605624002774059326886274655283606784126340328800628206736626221492669469 (127 digits) Sat Mar 18 18:20:42 2023 searching for 15-digit factors Sat Mar 18 18:20:42 2023 commencing number field sieve (127-digit input) Sat Mar 18 18:20:42 2023 R0: -1000000000000000000000000000000000 Sat Mar 18 18:20:42 2023 R1: 1 Sat Mar 18 18:20:42 2023 A0: -1 Sat Mar 18 18:20:42 2023 A1: 0 Sat Mar 18 18:20:42 2023 A2: 0 Sat Mar 18 18:20:42 2023 A3: 0 Sat Mar 18 18:20:42 2023 A4: 0 Sat Mar 18 18:20:42 2023 A5: 58 Sat Mar 18 18:20:42 2023 skew 0.44, size 1.132e-011, alpha 1.560, combined = 3.498e-010 rroots = 1 Sat Mar 18 18:20:42 2023 Sat Mar 18 18:20:42 2023 commencing square root phase Sat Mar 18 18:20:42 2023 reading relations for dependency 1 Sat Mar 18 18:20:42 2023 read 355511 cycles Sat Mar 18 18:20:43 2023 cycles contain 1332926 unique relations Sat Mar 18 18:20:49 2023 read 1332926 relations Sat Mar 18 18:20:52 2023 multiplying 1332926 relations Sat Mar 18 18:21:16 2023 multiply complete, coefficients have about 35.88 million bits Sat Mar 18 18:21:16 2023 initial square root is modulo 141851 Sat Mar 18 18:21:42 2023 GCD is N, no factor found Sat Mar 18 18:21:42 2023 reading relations for dependency 2 Sat Mar 18 18:21:42 2023 read 355269 cycles Sat Mar 18 18:21:43 2023 cycles contain 1332874 unique relations Sat Mar 18 18:21:49 2023 read 1332874 relations Sat Mar 18 18:21:52 2023 multiplying 1332874 relations Sat Mar 18 18:22:15 2023 multiply complete, coefficients have about 35.88 million bits Sat Mar 18 18:22:15 2023 initial square root is modulo 141851 Sat Mar 18 18:22:41 2023 GCD is N, no factor found Sat Mar 18 18:22:41 2023 reading relations for dependency 3 Sat Mar 18 18:22:41 2023 read 355851 cycles Sat Mar 18 18:22:41 2023 cycles contain 1333858 unique relations Sat Mar 18 18:22:47 2023 read 1333858 relations Sat Mar 18 18:22:50 2023 multiplying 1333858 relations Sat Mar 18 18:23:14 2023 multiply complete, coefficients have about 35.91 million bits Sat Mar 18 18:23:14 2023 initial square root is modulo 143111 Sat Mar 18 18:23:39 2023 GCD is 1, no factor found Sat Mar 18 18:23:39 2023 reading relations for dependency 4 Sat Mar 18 18:23:40 2023 read 356102 cycles Sat Mar 18 18:23:40 2023 cycles contain 1334596 unique relations Sat Mar 18 18:23:46 2023 read 1334596 relations Sat Mar 18 18:23:49 2023 multiplying 1334596 relations Sat Mar 18 18:24:14 2023 multiply complete, coefficients have about 35.92 million bits Sat Mar 18 18:24:14 2023 initial square root is modulo 143881 Sat Mar 18 18:24:41 2023 sqrtTime: 239 Sat Mar 18 18:24:41 2023 p49 factor: 6235902953461627177163220237038238279271003932221 Sat Mar 18 18:24:41 2023 p79 factor: 1009409145988091303989708330683287783908248489255090455602010780034556343425889 Sat Mar 18 18:24:41 2023 elapsed time 00:04:00

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	3840		ccc	March 18, 2023 05:12:12 UTC 2023 年 3 月 18 日 (土) 14 時 12 分 12 秒 (日本時間)

29×10¹⁶⁷-53

c120

name 名前	Eric Jeancolas
date 日付	March 14, 2023 21:12:38 UTC 2023 年 3 月 15 日 (水) 6 時 12 分 38 秒 (日本時間)
composite number 合成数	126621692055138186992261403502037002626034381398591224994112123162123439010634668441134095857795987995145446078334679517<120>
prime factors 素因数	4223986533298774593336664354571803123649801<43> 29976821909100976344624190803173641404768162351636340740782474554538190212917<77>
factorization results 素因数分解の結果	126621692055138186992261403502037002626034381398591224994112123162123439010634668441134095857795987995145446078334679517=422398653329877459333666435457180312364980129976821909100976344624190803173641404768162351636340740782474554538190212917 cado polynomial n: 126621692055138186992261403502037002626034381398591224994112123162123439010634668441134095857795987995145446078334679517 skew: 36169.764 c0: 1205397296557217778037164960 c1: -706521891047398196551692 c2: -4844193362707491533 c3: 863113948924999 c4: 8170991160 c5: -108000 Y0: -148662627595011250509951 Y1: 58881711293374157 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.694e-06 # f(x) = -108000x^5+8170991160x^4+863113948924999x^3-4844193362707491533x^2-706521891047398196551692x+1205397296557217778037164960 # g(x) = 58881711293374157*x-148662627595011250509951 cado parameters (extracts) tasks.lim0 = 3000000 tasks.lim1 = 5500000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 29976821909100976344624190803173641404768162351636340740782474554538190212917 4223986533298774593336664354571803123649801 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 179.38/54.2061 Info:HTTP server: Got notification to stop serving Workunits Info:Quadratic Characters: Total cpu/real time for characters: 18.05/7.14202 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.01/47.3204 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.2s Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.87/48.6891 Info:Filtering - Merging: Merged matrix has 595836 rows and total weight 60569258 (101.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 46.73/14.8537 Info:Filtering - Merging: Total cpu/real time for replay: 13.5/11.1563 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 13455592 Info:Lattice Sieving: Average J: 1900.3 for 214406 special-q, max bucket fill -bkmult 1.0,1s:1.259190 Info:Lattice Sieving: Total time: 26304.9s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 142.17/161.02 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 149.4s Info:Linear Algebra: Total cpu/real time for bwc: 3760.35/1045.91 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 2296.8, WCT time 600.72, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18688 iterations) Info:Linear Algebra: Lingen CPU time 77.43, WCT time 78.56 Info:Linear Algebra: Mksol: CPU time 1316.99, WCT time 343.2, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations) Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 1556.73 Info:Polynomial Selection (root optimized): Rootsieve time: 1554.36 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 21505.4 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14644/34.810/42.576/47.250/1.064 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11511/34.520/37.585/43.030/0.781 Info:Polynomial Selection (size optimized): Total time: 2117.8 Info:Generate Factor Base: Total cpu/real time for makefb: 4.84/1.30578 Info:Square Root: Total cpu/real time for sqrt: 179.38/54.2061 Info:Generate Free Relations: Total cpu/real time for freerel: 124.9/32.681 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 57278.3/15782.9 Info:root: Cleaning up computation data in /tmp/cado.gzcnvilc 29976821909100976344624190803173641404768162351636340740782474554538190212917 4223986533298774593336664354571803123649801
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic\|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁷⁰-53

c153

name 名前	Bob Backstrom
date 日付	March 14, 2023 18:24:53 UTC 2023 年 3 月 15 日 (水) 3 時 24 分 53 秒 (日本時間)
composite number 合成数	131976247552983768823119827603575666862137878329741167431436057858372431451080174874157835153599112898557701042691618081658345258481764169192077981530521<153>
prime factors 素因数	31998915176534086863628170025730885235598262401741<50> 4124397556132356749868382096031889686934129521223014047436742413893302169147250181459520785901347459581<103>
factorization results 素因数分解の結果	Number: n N=131976247552983768823119827603575666862137878329741167431436057858372431451080174874157835153599112898557701042691618081658345258481764169192077981530521 ( 153 digits) SNFS difficulty: 171 digits. Divisors found: Wed Mar 15 00:59:44 2023 prp50 factor: 31998915176534086863628170025730885235598262401741 Wed Mar 15 00:59:44 2023 prp103 factor: 4124397556132356749868382096031889686934129521223014047436742413893302169147250181459520785901347459581 Wed Mar 15 00:59:44 2023 elapsed time 00:16:16 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.104). Factorization parameters were as follows: # # N = 29x10^170-5 = 96(169)5 # n: 131976247552983768823119827603575666862137878329741167431436057858372431451080174874157835153599112898557701042691618081658345258481764169192077981530521 m: 10000000000000000000000000000000000 deg: 5 c5: 29 c0: -5 skew: 0.70 # Murphy_E = 2.649e-10 type: snfs lss: 1 rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 13700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1660115 hash collisions in 14638039 relations (13857482 unique) Msieve: matrix is 656433 x 656659 (184.5 MB) Sieving start time: 2023/03/14 23:31:06 Sieving end time : 2023/03/15 00:43:14 Total sieving time: 1hrs 12min 8secs. Total relation processing time: 0hrs 12min 0sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 22sec. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁷¹-53

c139

name 名前	Ignacio Santos
date 日付	April 15, 2023 14:30:43 UTC 2023 年 4 月 15 日 (土) 23 時 30 分 43 秒 (日本時間)
composite number 合成数	1640577036943120237255010780921037813062036794161275776329883989267966978093777915708972471586440788028690396588256325510099421395791866203<139>
prime factors 素因数	19961449843165765139870576013620903694425107444919556030861672287<65> 82187268451585310691530271656376593863764351208244407217188514718090683269<74>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=2550000, q1=2650000. -> client 1 q0: 2550000 LatSieveTime: 92 LatSieveTime: 92 LatSieveTime: 92 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 109 -> makeJobFile(): Adjusted to q0=2650001, q1=2750000. -> client 1 q0: 2650001 LatSieveTime: 88 LatSieveTime: 88 LatSieveTime: 89 LatSieveTime: 92 LatSieveTime: 93 LatSieveTime: 93 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 111 -> makeJobFile(): Adjusted to q0=2750001, q1=2850000. -> client 1 q0: 2750001 LatSieveTime: 89 LatSieveTime: 92 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 114 -> makeJobFile(): Adjusted to q0=2850001, q1=2950000. -> client 1 q0: 2850001 LatSieveTime: 91 LatSieveTime: 92 LatSieveTime: 94 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 110 LatSieveTime: 111 -> makeJobFile(): Adjusted to q0=2950001, q1=3050000. -> client 1 q0: 2950001 LatSieveTime: 92 LatSieveTime: 92 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 -> makeJobFile(): Adjusted to q0=3050001, q1=3150000. -> client 1 q0: 3050001 LatSieveTime: 87 LatSieveTime: 91 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 -> makeJobFile(): Adjusted to q0=3150001, q1=3250000. -> client 1 q0: 3150001 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 96 LatSieveTime: 99 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 -> makeJobFile(): Adjusted to q0=3250001, q1=3350000. -> client 1 q0: 3250001 LatSieveTime: 92 LatSieveTime: 92 LatSieveTime: 95 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 -> makeJobFile(): Adjusted to q0=3350001, q1=3450000. -> client 1 q0: 3350001 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 -> makeJobFile(): Adjusted to q0=3450001, q1=3550000. -> client 1 q0: 3450001 LatSieveTime: 91 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 112 -> makeJobFile(): Adjusted to q0=3550001, q1=3650000. -> client 1 q0: 3550001 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 -> makeJobFile(): Adjusted to q0=3650001, q1=3750000. -> client 1 q0: 3650001 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 119 -> makeJobFile(): Adjusted to q0=3750001, q1=3850000. -> client 1 q0: 3750001 LatSieveTime: 89 LatSieveTime: 93 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 116 -> makeJobFile(): Adjusted to q0=3850001, q1=3950000. -> client 1 q0: 3850001 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 116 -> makeJobFile(): Adjusted to q0=3950001, q1=4050000. -> client 1 q0: 3950001 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 -> makeJobFile(): Adjusted to q0=4050001, q1=4150000. -> client 1 q0: 4050001 LatSieveTime: 92 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 97 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 -> makeJobFile(): Adjusted to q0=4150001, q1=4250000. -> client 1 q0: 4150001 LatSieveTime: 91 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 116 -> makeJobFile(): Adjusted to q0=4250001, q1=4350000. -> client 1 q0: 4250001 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 118 -> makeJobFile(): Adjusted to q0=4350001, q1=4450000. -> client 1 q0: 4350001 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 119 -> makeJobFile(): Adjusted to q0=4450001, q1=4550000. -> client 1 q0: 4450001 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 116 -> makeJobFile(): Adjusted to q0=4550001, q1=4650000. -> client 1 q0: 4550001 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 -> makeJobFile(): Adjusted to q0=4650001, q1=4750000. -> client 1 q0: 4650001 LatSieveTime: 95 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 118 -> makeJobFile(): Adjusted to q0=4750001, q1=4850000. -> client 1 q0: 4750001 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 117 -> makeJobFile(): Adjusted to q0=4850001, q1=4950000. -> client 1 q0: 4850001 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 -> makeJobFile(): Adjusted to q0=4950001, q1=5050000. -> client 1 q0: 4950001 LatSieveTime: 95 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 -> makeJobFile(): Adjusted to q0=5050001, q1=5150000. -> client 1 q0: 5050001 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 115 -> makeJobFile(): Adjusted to q0=5150001, q1=5250000. -> client 1 q0: 5150001 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 118 -> makeJobFile(): Adjusted to q0=5250001, q1=5350000. -> client 1 q0: 5250001 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 Sat Apr 15 16:12:30 2023 Sat Apr 15 16:12:30 2023 Sat Apr 15 16:12:30 2023 Msieve v. 1.52 (SVN 927) Sat Apr 15 16:12:30 2023 random seeds: fed78780 73050a90 Sat Apr 15 16:12:30 2023 factoring 1640577036943120237255010780921037813062036794161275776329883989267966978093777915708972471586440788028690396588256325510099421395791866203 (139 digits) Sat Apr 15 16:12:30 2023 searching for 15-digit factors Sat Apr 15 16:12:30 2023 commencing number field sieve (139-digit input) Sat Apr 15 16:12:30 2023 R0: -10000000000000000000000000000000000 Sat Apr 15 16:12:30 2023 R1: 1 Sat Apr 15 16:12:30 2023 A0: -1 Sat Apr 15 16:12:30 2023 A1: 0 Sat Apr 15 16:12:30 2023 A2: 0 Sat Apr 15 16:12:30 2023 A3: 0 Sat Apr 15 16:12:30 2023 A4: 0 Sat Apr 15 16:12:30 2023 A5: 58 Sat Apr 15 16:12:30 2023 skew 0.44, size 5.252e-012, alpha 1.560, combined = 2.217e-010 rroots = 1 Sat Apr 15 16:12:30 2023 Sat Apr 15 16:12:30 2023 commencing relation filtering Sat Apr 15 16:12:30 2023 estimated available RAM is 65413.5 MB Sat Apr 15 16:12:30 2023 commencing duplicate removal, pass 1 Sat Apr 15 16:12:47 2023 found 1153300 hash collisions in 10283134 relations Sat Apr 15 16:12:55 2023 added 371721 free relations Sat Apr 15 16:12:55 2023 commencing duplicate removal, pass 2 Sat Apr 15 16:12:59 2023 found 929925 duplicates and 9724930 unique relations Sat Apr 15 16:12:59 2023 memory use: 49.3 MB Sat Apr 15 16:12:59 2023 reading ideals above 100000 Sat Apr 15 16:12:59 2023 commencing singleton removal, initial pass Sat Apr 15 16:13:34 2023 memory use: 344.5 MB Sat Apr 15 16:13:34 2023 reading all ideals from disk Sat Apr 15 16:13:34 2023 memory use: 355.8 MB Sat Apr 15 16:13:35 2023 keeping 10991682 ideals with weight <= 200, target excess is 50415 Sat Apr 15 16:13:35 2023 commencing in-memory singleton removal Sat Apr 15 16:13:36 2023 begin with 9724930 relations and 10991682 unique ideals Sat Apr 15 16:13:41 2023 reduce to 3670989 relations and 3667622 ideals in 22 passes Sat Apr 15 16:13:41 2023 max relations containing the same ideal: 108 Sat Apr 15 16:13:41 2023 filtering wants 1000000 more relations Sat Apr 15 16:13:41 2023 elapsed time 00:01:11 -> makeJobFile(): Adjusted to q0=5350001, q1=5450000. -> client 1 q0: 5350001 LatSieveTime: 91 LatSieveTime: 93 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 Sat Apr 15 16:15:38 2023 Sat Apr 15 16:15:38 2023 Sat Apr 15 16:15:38 2023 Msieve v. 1.52 (SVN 927) Sat Apr 15 16:15:38 2023 random seeds: 9d771794 fe51a803 Sat Apr 15 16:15:38 2023 factoring 1640577036943120237255010780921037813062036794161275776329883989267966978093777915708972471586440788028690396588256325510099421395791866203 (139 digits) Sat Apr 15 16:15:39 2023 searching for 15-digit factors Sat Apr 15 16:15:39 2023 commencing number field sieve (139-digit input) Sat Apr 15 16:15:39 2023 R0: -10000000000000000000000000000000000 Sat Apr 15 16:15:39 2023 R1: 1 Sat Apr 15 16:15:39 2023 A0: -1 Sat Apr 15 16:15:39 2023 A1: 0 Sat Apr 15 16:15:39 2023 A2: 0 Sat Apr 15 16:15:39 2023 A3: 0 Sat Apr 15 16:15:39 2023 A4: 0 Sat Apr 15 16:15:39 2023 A5: 58 Sat Apr 15 16:15:39 2023 skew 0.44, size 5.252e-012, alpha 1.560, combined = 2.217e-010 rroots = 1 Sat Apr 15 16:15:39 2023 Sat Apr 15 16:15:39 2023 commencing relation filtering Sat Apr 15 16:15:39 2023 estimated available RAM is 65413.5 MB Sat Apr 15 16:15:39 2023 commencing duplicate removal, pass 1 Sat Apr 15 16:16:00 2023 found 1242151 hash collisions in 11001027 relations Sat Apr 15 16:16:07 2023 added 739 free relations Sat Apr 15 16:16:07 2023 commencing duplicate removal, pass 2 Sat Apr 15 16:16:11 2023 found 984671 duplicates and 10017095 unique relations Sat Apr 15 16:16:11 2023 memory use: 49.3 MB Sat Apr 15 16:16:11 2023 reading ideals above 720000 Sat Apr 15 16:16:11 2023 commencing singleton removal, initial pass Sat Apr 15 16:16:44 2023 memory use: 344.5 MB Sat Apr 15 16:16:44 2023 reading all ideals from disk Sat Apr 15 16:16:44 2023 memory use: 295.1 MB Sat Apr 15 16:16:45 2023 commencing in-memory singleton removal Sat Apr 15 16:16:45 2023 begin with 10017095 relations and 11039819 unique ideals Sat Apr 15 16:16:51 2023 reduce to 4084290 relations and 3902133 ideals in 24 passes Sat Apr 15 16:16:51 2023 max relations containing the same ideal: 67 Sat Apr 15 16:16:52 2023 removing 291412 relations and 267791 ideals in 23621 cliques Sat Apr 15 16:16:52 2023 commencing in-memory singleton removal Sat Apr 15 16:16:52 2023 begin with 3792878 relations and 3902133 unique ideals Sat Apr 15 16:16:53 2023 reduce to 3773539 relations and 3614813 ideals in 8 passes Sat Apr 15 16:16:53 2023 max relations containing the same ideal: 63 Sat Apr 15 16:16:54 2023 removing 211932 relations and 188311 ideals in 23621 cliques Sat Apr 15 16:16:54 2023 commencing in-memory singleton removal Sat Apr 15 16:16:54 2023 begin with 3561607 relations and 3614813 unique ideals Sat Apr 15 16:16:55 2023 reduce to 3550498 relations and 3415310 ideals in 8 passes Sat Apr 15 16:16:55 2023 max relations containing the same ideal: 59 Sat Apr 15 16:16:56 2023 relations with 0 large ideals: 2944 Sat Apr 15 16:16:56 2023 relations with 1 large ideals: 2193 Sat Apr 15 16:16:56 2023 relations with 2 large ideals: 29761 Sat Apr 15 16:16:56 2023 relations with 3 large ideals: 178310 Sat Apr 15 16:16:56 2023 relations with 4 large ideals: 556392 Sat Apr 15 16:16:56 2023 relations with 5 large ideals: 976042 Sat Apr 15 16:16:56 2023 relations with 6 large ideals: 1022510 Sat Apr 15 16:16:56 2023 relations with 7+ large ideals: 782346 Sat Apr 15 16:16:56 2023 commencing 2-way merge Sat Apr 15 16:16:57 2023 reduce to 2065215 relation sets and 1930028 unique ideals Sat Apr 15 16:16:57 2023 ignored 1 oversize relation sets Sat Apr 15 16:16:57 2023 commencing full merge Sat Apr 15 16:17:21 2023 memory use: 219.6 MB Sat Apr 15 16:17:21 2023 found 1020138 cycles, need 1004228 Sat Apr 15 16:17:21 2023 weight of 1004228 cycles is about 70304257 (70.01/cycle) Sat Apr 15 16:17:21 2023 distribution of cycle lengths: Sat Apr 15 16:17:21 2023 1 relations: 133248 Sat Apr 15 16:17:21 2023 2 relations: 121007 Sat Apr 15 16:17:21 2023 3 relations: 115504 Sat Apr 15 16:17:21 2023 4 relations: 101638 Sat Apr 15 16:17:21 2023 5 relations: 90385 Sat Apr 15 16:17:21 2023 6 relations: 75483 Sat Apr 15 16:17:21 2023 7 relations: 65503 Sat Apr 15 16:17:21 2023 8 relations: 54978 Sat Apr 15 16:17:21 2023 9 relations: 46025 Sat Apr 15 16:17:21 2023 10+ relations: 200457 Sat Apr 15 16:17:21 2023 heaviest cycle: 23 relations Sat Apr 15 16:17:21 2023 commencing cycle optimization Sat Apr 15 16:17:22 2023 start with 6018238 relations Sat Apr 15 16:17:30 2023 pruned 131350 relations Sat Apr 15 16:17:30 2023 memory use: 201.6 MB Sat Apr 15 16:17:30 2023 distribution of cycle lengths: Sat Apr 15 16:17:30 2023 1 relations: 133248 Sat Apr 15 16:17:30 2023 2 relations: 123520 Sat Apr 15 16:17:30 2023 3 relations: 119175 Sat Apr 15 16:17:30 2023 4 relations: 103750 Sat Apr 15 16:17:30 2023 5 relations: 92173 Sat Apr 15 16:17:30 2023 6 relations: 76178 Sat Apr 15 16:17:30 2023 7 relations: 65872 Sat Apr 15 16:17:30 2023 8 relations: 54780 Sat Apr 15 16:17:30 2023 9 relations: 45233 Sat Apr 15 16:17:30 2023 10+ relations: 190299 Sat Apr 15 16:17:30 2023 heaviest cycle: 23 relations Sat Apr 15 16:17:31 2023 RelProcTime: 112 Sat Apr 15 16:17:31 2023 elapsed time 00:01:53 Sat Apr 15 16:17:31 2023 Sat Apr 15 16:17:31 2023 Sat Apr 15 16:17:31 2023 Msieve v. 1.52 (SVN 927) Sat Apr 15 16:17:31 2023 random seeds: 3fd4b170 206b4477 Sat Apr 15 16:17:31 2023 factoring 1640577036943120237255010780921037813062036794161275776329883989267966978093777915708972471586440788028690396588256325510099421395791866203 (139 digits) Sat Apr 15 16:17:31 2023 searching for 15-digit factors Sat Apr 15 16:17:32 2023 commencing number field sieve (139-digit input) Sat Apr 15 16:17:32 2023 R0: -10000000000000000000000000000000000 Sat Apr 15 16:17:32 2023 R1: 1 Sat Apr 15 16:17:32 2023 A0: -1 Sat Apr 15 16:17:32 2023 A1: 0 Sat Apr 15 16:17:32 2023 A2: 0 Sat Apr 15 16:17:32 2023 A3: 0 Sat Apr 15 16:17:32 2023 A4: 0 Sat Apr 15 16:17:32 2023 A5: 58 Sat Apr 15 16:17:32 2023 skew 0.44, size 5.252e-012, alpha 1.560, combined = 2.217e-010 rroots = 1 Sat Apr 15 16:17:32 2023 Sat Apr 15 16:17:32 2023 commencing linear algebra Sat Apr 15 16:17:32 2023 read 1004228 cycles Sat Apr 15 16:17:33 2023 cycles contain 3403830 unique relations Sat Apr 15 16:17:39 2023 read 3403830 relations Sat Apr 15 16:17:42 2023 using 20 quadratic characters above 134216792 Sat Apr 15 16:17:51 2023 building initial matrix Sat Apr 15 16:18:09 2023 memory use: 410.4 MB Sat Apr 15 16:18:10 2023 read 1004228 cycles Sat Apr 15 16:18:10 2023 matrix is 1004044 x 1004228 (300.8 MB) with weight 88729678 (88.36/col) Sat Apr 15 16:18:10 2023 sparse part has weight 67815595 (67.53/col) Sat Apr 15 16:18:14 2023 filtering completed in 2 passes Sat Apr 15 16:18:15 2023 matrix is 1001286 x 1001469 (300.6 MB) with weight 88633538 (88.50/col) Sat Apr 15 16:18:15 2023 sparse part has weight 67779317 (67.68/col) Sat Apr 15 16:18:16 2023 matrix starts at (0, 0) Sat Apr 15 16:18:16 2023 matrix is 1001286 x 1001469 (300.6 MB) with weight 88633538 (88.50/col) Sat Apr 15 16:18:16 2023 sparse part has weight 67779317 (67.68/col) Sat Apr 15 16:18:16 2023 saving the first 48 matrix rows for later Sat Apr 15 16:18:16 2023 matrix includes 64 packed rows Sat Apr 15 16:18:17 2023 matrix is 1001238 x 1001469 (284.2 MB) with weight 70126692 (70.02/col) Sat Apr 15 16:18:17 2023 sparse part has weight 64495529 (64.40/col) Sat Apr 15 16:18:17 2023 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Sat Apr 15 16:18:19 2023 commencing Lanczos iteration (32 threads) Sat Apr 15 16:18:19 2023 memory use: 227.1 MB Sat Apr 15 16:18:20 2023 linear algebra at 0.2%, ETA 0h10m Sat Apr 15 16:18:21 2023 checkpointing every 3660000 dimensions Sat Apr 15 16:28:56 2023 lanczos halted after 15834 iterations (dim = 1001238) Sat Apr 15 16:28:57 2023 recovered 38 nontrivial dependencies Sat Apr 15 16:28:57 2023 BLanczosTime: 685 Sat Apr 15 16:28:57 2023 elapsed time 00:11:26 Sat Apr 15 16:28:57 2023 Sat Apr 15 16:28:57 2023 Sat Apr 15 16:28:57 2023 Msieve v. 1.52 (SVN 927) Sat Apr 15 16:28:57 2023 random seeds: 60192de0 67e8afef Sat Apr 15 16:28:57 2023 factoring 1640577036943120237255010780921037813062036794161275776329883989267966978093777915708972471586440788028690396588256325510099421395791866203 (139 digits) Sat Apr 15 16:28:57 2023 searching for 15-digit factors Sat Apr 15 16:28:58 2023 commencing number field sieve (139-digit input) Sat Apr 15 16:28:58 2023 R0: -10000000000000000000000000000000000 Sat Apr 15 16:28:58 2023 R1: 1 Sat Apr 15 16:28:58 2023 A0: -1 Sat Apr 15 16:28:58 2023 A1: 0 Sat Apr 15 16:28:58 2023 A2: 0 Sat Apr 15 16:28:58 2023 A3: 0 Sat Apr 15 16:28:58 2023 A4: 0 Sat Apr 15 16:28:58 2023 A5: 58 Sat Apr 15 16:28:58 2023 skew 0.44, size 5.252e-012, alpha 1.560, combined = 2.217e-010 rroots = 1 Sat Apr 15 16:28:58 2023 Sat Apr 15 16:28:58 2023 commencing square root phase Sat Apr 15 16:28:58 2023 reading relations for dependency 1 Sat Apr 15 16:28:58 2023 read 500563 cycles Sat Apr 15 16:28:58 2023 cycles contain 1701708 unique relations Sat Apr 15 16:29:02 2023 read 1701708 relations Sat Apr 15 16:29:06 2023 multiplying 1701708 relations Sat Apr 15 16:29:32 2023 multiply complete, coefficients have about 46.14 million bits Sat Apr 15 16:29:32 2023 initial square root is modulo 4210061 Sat Apr 15 16:30:06 2023 sqrtTime: 68 Sat Apr 15 16:30:06 2023 prp65 factor: 19961449843165765139870576013620903694425107444919556030861672287 Sat Apr 15 16:30:06 2023 prp74 factor: 82187268451585310691530271656376593863764351208244407217188514718090683269 Sat Apr 15 16:30:06 2023 elapsed time 00:01:09
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2078		Caleb Birtwistle	March 23, 2023 11:32:12 UTC 2023 年 3 月 23 日 (木) 20 時 32 分 12 秒 (日本時間)

29×10¹⁷⁴-53

c114

name 名前	Ignacio Santos
date 日付	February 22, 2023 14:44:55 UTC 2023 年 2 月 22 日 (水) 23 時 44 分 55 秒 (日本時間)
composite number 合成数	158794109744823163829311332775511036297060005960959304374758276705335698579576503677758317673855385076096575545799<114>
prime factors 素因数	154529899634151557550661621768667193821<39> 1027594725168184885263290200169539103818558296345116375250667285237727519219<76>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=1750000, q1=1850000. -> client 1 q0: 1750000 LatSieveTime: 85 LatSieveTime: 88 LatSieveTime: 89 LatSieveTime: 92 LatSieveTime: 93 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 117 LatSieveTime: 119 -> makeJobFile(): Adjusted to q0=1850001, q1=1950000. -> client 1 q0: 1850001 LatSieveTime: 85 LatSieveTime: 85 LatSieveTime: 89 LatSieveTime: 90 LatSieveTime: 91 LatSieveTime: 91 LatSieveTime: 91 LatSieveTime: 93 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 118 -> makeJobFile(): Adjusted to q0=1950001, q1=2050000. -> client 1 q0: 1950001 LatSieveTime: 85 LatSieveTime: 88 LatSieveTime: 89 LatSieveTime: 90 LatSieveTime: 92 LatSieveTime: 93 LatSieveTime: 93 LatSieveTime: 93 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 117 -> makeJobFile(): Adjusted to q0=2050001, q1=2150000. -> client 1 q0: 2050001 LatSieveTime: 82 LatSieveTime: 88 LatSieveTime: 90 LatSieveTime: 91 LatSieveTime: 91 LatSieveTime: 91 LatSieveTime: 93 LatSieveTime: 93 LatSieveTime: 93 LatSieveTime: 93 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 122 -> makeJobFile(): Adjusted to q0=2150001, q1=2250000. -> client 1 q0: 2150001 LatSieveTime: 83 LatSieveTime: 85 LatSieveTime: 85 LatSieveTime: 85 LatSieveTime: 86 LatSieveTime: 86 LatSieveTime: 87 LatSieveTime: 89 LatSieveTime: 90 LatSieveTime: 91 LatSieveTime: 92 LatSieveTime: 92 LatSieveTime: 92 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 112 LatSieveTime: 121 LatSieveTime: 122 -> makeJobFile(): Adjusted to q0=2250001, q1=2350000. -> client 1 q0: 2250001 LatSieveTime: 83 LatSieveTime: 86 LatSieveTime: 88 LatSieveTime: 90 LatSieveTime: 92 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 -> makeJobFile(): Adjusted to q0=2350001, q1=2450000. -> client 1 q0: 2350001 LatSieveTime: 84 LatSieveTime: 84 LatSieveTime: 85 LatSieveTime: 86 LatSieveTime: 88 LatSieveTime: 89 LatSieveTime: 89 LatSieveTime: 89 LatSieveTime: 91 LatSieveTime: 91 LatSieveTime: 92 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 117 -> makeJobFile(): Adjusted to q0=2450001, q1=2550000. -> client 1 q0: 2450001 LatSieveTime: 80 LatSieveTime: 80 LatSieveTime: 89 LatSieveTime: 89 LatSieveTime: 90 LatSieveTime: 90 LatSieveTime: 91 LatSieveTime: 93 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 -> makeJobFile(): Adjusted to q0=2550001, q1=2650000. -> client 1 q0: 2550001 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 126 -> makeJobFile(): Adjusted to q0=2650001, q1=2750000. -> client 1 q0: 2650001 LatSieveTime: 80 LatSieveTime: 82 LatSieveTime: 86 LatSieveTime: 89 LatSieveTime: 92 LatSieveTime: 93 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 121 -> makeJobFile(): Adjusted to q0=2750001, q1=2850000. -> client 1 q0: 2750001 LatSieveTime: 83 LatSieveTime: 91 LatSieveTime: 92 LatSieveTime: 93 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 122 LatSieveTime: 123 Wed Feb 22 15:32:40 2023 Wed Feb 22 15:32:40 2023 Wed Feb 22 15:32:40 2023 Msieve v. 1.52 (SVN 927) Wed Feb 22 15:32:40 2023 random seeds: 6525a668 9a2480ee Wed Feb 22 15:32:40 2023 factoring 158794109744823163829311332775511036297060005960959304374758276705335698579576503677758317673855385076096575545799 (114 digits) Wed Feb 22 15:32:40 2023 searching for 15-digit factors Wed Feb 22 15:32:40 2023 commencing number field sieve (114-digit input) Wed Feb 22 15:32:40 2023 R0: -7319179396652453440347 Wed Feb 22 15:32:40 2023 R1: 137602016299 Wed Feb 22 15:32:40 2023 A0: -3949859962050672528831516320 Wed Feb 22 15:32:40 2023 A1: 647632541604329756862196 Wed Feb 22 15:32:40 2023 A2: -41910003843521032 Wed Feb 22 15:32:40 2023 A3: -653899242949645 Wed Feb 22 15:32:40 2023 A4: 586146126 Wed Feb 22 15:32:40 2023 A5: 7560 Wed Feb 22 15:32:40 2023 skew 84190.12, size 5.482e-011, alpha -6.384, combined = 5.408e-010 rroots = 5 Wed Feb 22 15:32:40 2023 Wed Feb 22 15:32:40 2023 commencing relation filtering Wed Feb 22 15:32:40 2023 estimated available RAM is 65413.5 MB Wed Feb 22 15:32:40 2023 commencing duplicate removal, pass 1 Wed Feb 22 15:32:54 2023 found 720363 hash collisions in 7020818 relations Wed Feb 22 15:33:02 2023 added 57214 free relations Wed Feb 22 15:33:02 2023 commencing duplicate removal, pass 2 Wed Feb 22 15:33:04 2023 found 470195 duplicates and 6607837 unique relations Wed Feb 22 15:33:04 2023 memory use: 24.6 MB Wed Feb 22 15:33:04 2023 reading ideals above 100000 Wed Feb 22 15:33:04 2023 commencing singleton removal, initial pass Wed Feb 22 15:33:29 2023 memory use: 188.3 MB Wed Feb 22 15:33:29 2023 reading all ideals from disk Wed Feb 22 15:33:29 2023 memory use: 227.1 MB Wed Feb 22 15:33:29 2023 keeping 7680132 ideals with weight <= 200, target excess is 35670 Wed Feb 22 15:33:29 2023 commencing in-memory singleton removal Wed Feb 22 15:33:30 2023 begin with 6607837 relations and 7680132 unique ideals Wed Feb 22 15:33:32 2023 reduce to 1687194 relations and 1745325 ideals in 20 passes Wed Feb 22 15:33:32 2023 max relations containing the same ideal: 82 Wed Feb 22 15:33:32 2023 filtering wants 1000000 more relations Wed Feb 22 15:33:32 2023 elapsed time 00:00:52 -> makeJobFile(): Adjusted to q0=2850001, q1=2950000. -> client 1 q0: 2850001 LatSieveTime: 86 LatSieveTime: 87 LatSieveTime: 89 LatSieveTime: 89 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 94 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 117 LatSieveTime: 118 Wed Feb 22 15:35:35 2023 Wed Feb 22 15:35:35 2023 Wed Feb 22 15:35:35 2023 Msieve v. 1.52 (SVN 927) Wed Feb 22 15:35:35 2023 random seeds: 94558e50 c8f88e2a Wed Feb 22 15:35:35 2023 factoring 158794109744823163829311332775511036297060005960959304374758276705335698579576503677758317673855385076096575545799 (114 digits) Wed Feb 22 15:35:35 2023 searching for 15-digit factors Wed Feb 22 15:35:35 2023 commencing number field sieve (114-digit input) Wed Feb 22 15:35:35 2023 R0: -7319179396652453440347 Wed Feb 22 15:35:35 2023 R1: 137602016299 Wed Feb 22 15:35:35 2023 A0: -3949859962050672528831516320 Wed Feb 22 15:35:35 2023 A1: 647632541604329756862196 Wed Feb 22 15:35:35 2023 A2: -41910003843521032 Wed Feb 22 15:35:35 2023 A3: -653899242949645 Wed Feb 22 15:35:35 2023 A4: 586146126 Wed Feb 22 15:35:35 2023 A5: 7560 Wed Feb 22 15:35:35 2023 skew 84190.12, size 5.482e-011, alpha -6.384, combined = 5.408e-010 rroots = 5 Wed Feb 22 15:35:35 2023 Wed Feb 22 15:35:35 2023 commencing relation filtering Wed Feb 22 15:35:35 2023 estimated available RAM is 65413.5 MB Wed Feb 22 15:35:35 2023 commencing duplicate removal, pass 1 Wed Feb 22 15:35:51 2023 found 842172 hash collisions in 7710045 relations Wed Feb 22 15:35:59 2023 added 844 free relations Wed Feb 22 15:35:59 2023 commencing duplicate removal, pass 2 Wed Feb 22 15:36:01 2023 found 548039 duplicates and 7162850 unique relations Wed Feb 22 15:36:01 2023 memory use: 26.6 MB Wed Feb 22 15:36:01 2023 reading ideals above 100000 Wed Feb 22 15:36:01 2023 commencing singleton removal, initial pass Wed Feb 22 15:36:28 2023 memory use: 188.3 MB Wed Feb 22 15:36:28 2023 reading all ideals from disk Wed Feb 22 15:36:28 2023 memory use: 246.3 MB Wed Feb 22 15:36:28 2023 keeping 7983391 ideals with weight <= 200, target excess is 38852 Wed Feb 22 15:36:28 2023 commencing in-memory singleton removal Wed Feb 22 15:36:29 2023 begin with 7162850 relations and 7983391 unique ideals Wed Feb 22 15:36:31 2023 reduce to 2313857 relations and 2211575 ideals in 15 passes Wed Feb 22 15:36:31 2023 max relations containing the same ideal: 92 Wed Feb 22 15:36:31 2023 removing 270213 relations and 241606 ideals in 28607 cliques Wed Feb 22 15:36:31 2023 commencing in-memory singleton removal Wed Feb 22 15:36:31 2023 begin with 2043644 relations and 2211575 unique ideals Wed Feb 22 15:36:32 2023 reduce to 2017564 relations and 1943446 ideals in 10 passes Wed Feb 22 15:36:32 2023 max relations containing the same ideal: 89 Wed Feb 22 15:36:32 2023 removing 203869 relations and 175262 ideals in 28607 cliques Wed Feb 22 15:36:32 2023 commencing in-memory singleton removal Wed Feb 22 15:36:32 2023 begin with 1813695 relations and 1943446 unique ideals Wed Feb 22 15:36:32 2023 reduce to 1796096 relations and 1750349 ideals in 8 passes Wed Feb 22 15:36:32 2023 max relations containing the same ideal: 86 Wed Feb 22 15:36:33 2023 relations with 0 large ideals: 108 Wed Feb 22 15:36:33 2023 relations with 1 large ideals: 348 Wed Feb 22 15:36:33 2023 relations with 2 large ideals: 4963 Wed Feb 22 15:36:33 2023 relations with 3 large ideals: 40276 Wed Feb 22 15:36:33 2023 relations with 4 large ideals: 167728 Wed Feb 22 15:36:33 2023 relations with 5 large ideals: 395277 Wed Feb 22 15:36:33 2023 relations with 6 large ideals: 535282 Wed Feb 22 15:36:33 2023 relations with 7+ large ideals: 652114 Wed Feb 22 15:36:33 2023 commencing 2-way merge Wed Feb 22 15:36:33 2023 reduce to 1015191 relation sets and 969445 unique ideals Wed Feb 22 15:36:33 2023 ignored 1 oversize relation sets Wed Feb 22 15:36:33 2023 commencing full merge Wed Feb 22 15:36:44 2023 memory use: 112.9 MB Wed Feb 22 15:36:44 2023 found 505437 cycles, need 499645 Wed Feb 22 15:36:44 2023 weight of 499645 cycles is about 35155516 (70.36/cycle) Wed Feb 22 15:36:44 2023 distribution of cycle lengths: Wed Feb 22 15:36:44 2023 1 relations: 57146 Wed Feb 22 15:36:44 2023 2 relations: 56790 Wed Feb 22 15:36:44 2023 3 relations: 57044 Wed Feb 22 15:36:44 2023 4 relations: 51213 Wed Feb 22 15:36:44 2023 5 relations: 46494 Wed Feb 22 15:36:44 2023 6 relations: 39332 Wed Feb 22 15:36:44 2023 7 relations: 34623 Wed Feb 22 15:36:44 2023 8 relations: 29803 Wed Feb 22 15:36:44 2023 9 relations: 25235 Wed Feb 22 15:36:44 2023 10+ relations: 101965 Wed Feb 22 15:36:44 2023 heaviest cycle: 22 relations Wed Feb 22 15:36:44 2023 commencing cycle optimization Wed Feb 22 15:36:45 2023 start with 3045235 relations Wed Feb 22 15:36:48 2023 pruned 60705 relations Wed Feb 22 15:36:48 2023 memory use: 103.2 MB Wed Feb 22 15:36:48 2023 distribution of cycle lengths: Wed Feb 22 15:36:48 2023 1 relations: 57146 Wed Feb 22 15:36:48 2023 2 relations: 57925 Wed Feb 22 15:36:48 2023 3 relations: 58669 Wed Feb 22 15:36:48 2023 4 relations: 52302 Wed Feb 22 15:36:48 2023 5 relations: 47229 Wed Feb 22 15:36:48 2023 6 relations: 39683 Wed Feb 22 15:36:48 2023 7 relations: 34893 Wed Feb 22 15:36:48 2023 8 relations: 29774 Wed Feb 22 15:36:48 2023 9 relations: 24982 Wed Feb 22 15:36:48 2023 10+ relations: 97042 Wed Feb 22 15:36:48 2023 heaviest cycle: 22 relations Wed Feb 22 15:36:49 2023 RelProcTime: 74 Wed Feb 22 15:36:49 2023 elapsed time 00:01:14 Wed Feb 22 15:36:49 2023 Wed Feb 22 15:36:49 2023 Wed Feb 22 15:36:49 2023 Msieve v. 1.52 (SVN 927) Wed Feb 22 15:36:49 2023 random seeds: b9dea1e0 6590bf66 Wed Feb 22 15:36:49 2023 factoring 158794109744823163829311332775511036297060005960959304374758276705335698579576503677758317673855385076096575545799 (114 digits) Wed Feb 22 15:36:49 2023 searching for 15-digit factors Wed Feb 22 15:36:49 2023 commencing number field sieve (114-digit input) Wed Feb 22 15:36:49 2023 R0: -7319179396652453440347 Wed Feb 22 15:36:49 2023 R1: 137602016299 Wed Feb 22 15:36:49 2023 A0: -3949859962050672528831516320 Wed Feb 22 15:36:49 2023 A1: 647632541604329756862196 Wed Feb 22 15:36:49 2023 A2: -41910003843521032 Wed Feb 22 15:36:49 2023 A3: -653899242949645 Wed Feb 22 15:36:49 2023 A4: 586146126 Wed Feb 22 15:36:49 2023 A5: 7560 Wed Feb 22 15:36:49 2023 skew 84190.12, size 5.482e-011, alpha -6.384, combined = 5.408e-010 rroots = 5 Wed Feb 22 15:36:49 2023 Wed Feb 22 15:36:49 2023 commencing linear algebra Wed Feb 22 15:36:49 2023 read 499645 cycles Wed Feb 22 15:36:50 2023 cycles contain 1743353 unique relations Wed Feb 22 15:36:53 2023 read 1743353 relations Wed Feb 22 15:36:55 2023 using 20 quadratic characters above 134215704 Wed Feb 22 15:36:59 2023 building initial matrix Wed Feb 22 15:37:07 2023 memory use: 218.2 MB Wed Feb 22 15:37:07 2023 read 499645 cycles Wed Feb 22 15:37:08 2023 matrix is 499467 x 499645 (150.2 MB) with weight 47352825 (94.77/col) Wed Feb 22 15:37:08 2023 sparse part has weight 33875225 (67.80/col) Wed Feb 22 15:37:10 2023 filtering completed in 2 passes Wed Feb 22 15:37:10 2023 matrix is 498578 x 498756 (150.1 MB) with weight 47317461 (94.87/col) Wed Feb 22 15:37:10 2023 sparse part has weight 33865034 (67.90/col) Wed Feb 22 15:37:10 2023 matrix starts at (0, 0) Wed Feb 22 15:37:11 2023 matrix is 498578 x 498756 (150.1 MB) with weight 47317461 (94.87/col) Wed Feb 22 15:37:11 2023 sparse part has weight 33865034 (67.90/col) Wed Feb 22 15:37:11 2023 saving the first 48 matrix rows for later Wed Feb 22 15:37:11 2023 matrix includes 64 packed rows Wed Feb 22 15:37:11 2023 matrix is 498530 x 498756 (144.1 MB) with weight 37345493 (74.88/col) Wed Feb 22 15:37:11 2023 sparse part has weight 32788786 (65.74/col) Wed Feb 22 15:37:11 2023 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Wed Feb 22 15:37:12 2023 commencing Lanczos iteration (32 threads) Wed Feb 22 15:37:12 2023 memory use: 112.3 MB Wed Feb 22 15:37:18 2023 linear algebra at 2.4%, ETA 0h 4m Wed Feb 22 15:41:04 2023 lanczos halted after 7886 iterations (dim = 498530) Wed Feb 22 15:41:04 2023 recovered 29 nontrivial dependencies Wed Feb 22 15:41:04 2023 BLanczosTime: 255 Wed Feb 22 15:41:04 2023 elapsed time 00:04:15 Wed Feb 22 15:41:04 2023 Wed Feb 22 15:41:04 2023 Wed Feb 22 15:41:04 2023 Msieve v. 1.52 (SVN 927) Wed Feb 22 15:41:04 2023 random seeds: 44b860d4 a4254868 Wed Feb 22 15:41:04 2023 factoring 158794109744823163829311332775511036297060005960959304374758276705335698579576503677758317673855385076096575545799 (114 digits) Wed Feb 22 15:41:04 2023 searching for 15-digit factors Wed Feb 22 15:41:04 2023 commencing number field sieve (114-digit input) Wed Feb 22 15:41:04 2023 R0: -7319179396652453440347 Wed Feb 22 15:41:04 2023 R1: 137602016299 Wed Feb 22 15:41:04 2023 A0: -3949859962050672528831516320 Wed Feb 22 15:41:04 2023 A1: 647632541604329756862196 Wed Feb 22 15:41:04 2023 A2: -41910003843521032 Wed Feb 22 15:41:04 2023 A3: -653899242949645 Wed Feb 22 15:41:04 2023 A4: 586146126 Wed Feb 22 15:41:04 2023 A5: 7560 Wed Feb 22 15:41:04 2023 skew 84190.12, size 5.482e-011, alpha -6.384, combined = 5.408e-010 rroots = 5 Wed Feb 22 15:41:04 2023 Wed Feb 22 15:41:04 2023 commencing square root phase Wed Feb 22 15:41:04 2023 reading relations for dependency 1 Wed Feb 22 15:41:04 2023 read 249153 cycles Wed Feb 22 15:41:05 2023 cycles contain 870142 unique relations Wed Feb 22 15:41:07 2023 read 870142 relations Wed Feb 22 15:41:09 2023 multiplying 870142 relations Wed Feb 22 15:41:29 2023 multiply complete, coefficients have about 37.68 million bits Wed Feb 22 15:41:29 2023 initial square root is modulo 257219 Wed Feb 22 15:41:53 2023 GCD is 1, no factor found Wed Feb 22 15:41:53 2023 reading relations for dependency 2 Wed Feb 22 15:41:53 2023 read 248948 cycles Wed Feb 22 15:41:53 2023 cycles contain 871054 unique relations Wed Feb 22 15:41:55 2023 read 871054 relations Wed Feb 22 15:41:57 2023 multiplying 871054 relations Wed Feb 22 15:42:17 2023 multiply complete, coefficients have about 37.72 million bits Wed Feb 22 15:42:17 2023 initial square root is modulo 260363 Wed Feb 22 15:42:42 2023 GCD is 1, no factor found Wed Feb 22 15:42:42 2023 reading relations for dependency 3 Wed Feb 22 15:42:42 2023 read 249290 cycles Wed Feb 22 15:42:42 2023 cycles contain 870506 unique relations Wed Feb 22 15:42:44 2023 read 870506 relations Wed Feb 22 15:42:46 2023 multiplying 870506 relations Wed Feb 22 15:43:06 2023 multiply complete, coefficients have about 37.70 million bits Wed Feb 22 15:43:06 2023 initial square root is modulo 258413 Wed Feb 22 15:43:30 2023 sqrtTime: 146 Wed Feb 22 15:43:30 2023 prp39 factor: 154529899634151557550661621768667193821 Wed Feb 22 15:43:30 2023 prp76 factor: 1027594725168184885263290200169539103818558296345116375250667285237727519219 Wed Feb 22 15:43:30 2023 elapsed time 00:02:26
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁷⁵-53

c171

name 名前	Bob Backstrom
date 日付	March 13, 2023 16:39:20 UTC 2023 年 3 月 14 日 (火) 1 時 39 分 20 秒 (日本時間)
composite number 合成数	723471666105352442964238047125447492172784991705023138619665955668649976923748581122378974416545048584864473799099402512192992303758310568923149845950429717222367748132071<171>
prime factors 素因数	115926584217858334501447567555776227874096198366586061008861905554507581133<75> 6240774460720309958866222664948301317691200445414081833801237028763231761108024541464568634579587<97>
factorization results 素因数分解の結果	Number: n N=723471666105352442964238047125447492172784991705023138619665955668649976923748581122378974416545048584864473799099402512192992303758310568923149845950429717222367748132071 ( 171 digits) SNFS difficulty: 176 digits. Divisors found: Mon Mar 13 18:53:39 2023 prp75 factor: 115926584217858334501447567555776227874096198366586061008861905554507581133 Mon Mar 13 18:53:39 2023 prp97 factor: 6240774460720309958866222664948301317691200445414081833801237028763231761108024541464568634579587 Mon Mar 13 18:53:39 2023 elapsed time 00:20:31 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.095). Factorization parameters were as follows: # # N = 29x10^175-5 = 96(174)5 # n: 723471666105352442964238047125447492172784991705023138619665955668649976923748581122378974416545048584864473799099402512192992303758310568923149845950429717222367748132071 m: 100000000000000000000000000000000000 deg: 5 c5: 29 c0: -5 skew: 0.70 # Murphy_E = 1.673e-10 type: snfs lss: 1 rlim: 5600000 alim: 5600000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.5 alambda: 2.5 Factor base limits: 5600000/5600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 21200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2167074 hash collisions in 15366155 relations (14007013 unique) Msieve: matrix is 768427 x 768652 (216.0 MB) Sieving start time: 2023/03/13 16:23:17 Sieving end time : 2023/03/13 18:32:52 Total sieving time: 2hrs 9min 35secs. Total relation processing time: 0hrs 16min 8sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 22sec. Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,51,51,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁷⁸-53

c153

name 名前	Bob Backstrom
date 日付	April 1, 2023 20:29:23 UTC 2023 年 4 月 2 日 (日) 5 時 29 分 23 秒 (日本時間)
composite number 合成数	109612484629819661668726113618434314936501503192896259568086841792130355558567074724376933021357275472647046864458970918330802263019041177625795040504079<153>
prime factors 素因数	1749590554917128634823952431140965832192752572951116112601<58> 62650363721820379191021234650053623402161755590883329868546663446277937115864475696626275248679<95>
factorization results 素因数分解の結果	Number: n N=109612484629819661668726113618434314936501503192896259568086841792130355558567074724376933021357275472647046864458970918330802263019041177625795040504079 ( 153 digits) SNFS difficulty: 178 digits. Divisors found: Sun Apr 2 00:27:12 2023 prp58 factor: 1749590554917128634823952431140965832192752572951116112601 Sun Apr 2 00:27:12 2023 prp95 factor: 62650363721820379191021234650053623402161755590883329868546663446277937115864475696626275248679 Sun Apr 2 00:27:12 2023 elapsed time 00:38:37 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.101). Factorization parameters were as follows: # # N = 29x10^178-5 = 96(177)5 # n: 109612484629819661668726113618434314936501503192896259568086841792130355558567074724376933021357275472647046864458970918330802263019041177625795040504079 m: 100000000000000000000000000000000000 deg: 5 c5: 5800 c0: -1 skew: 0.18 # Murphy_E = 9.877e-11 type: snfs lss: 1 rlim: 6700000 alim: 6700000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6700000/6700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved special-q in [100000, 21750000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2128956 hash collisions in 15447572 relations (14142908 unique) Msieve: matrix is 1116517 x 1116742 (313.2 MB) Sieving start time: 2023/04/01 20:56:07 Sieving end time : 2023/04/01 23:48:20 Total sieving time: 2hrs 52min 13secs. Total relation processing time: 0hrs 33min 54sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 24sec. Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6700000,6700000,27,27,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	March 31, 2023 08:28:21 UTC 2023 年 3 月 31 日 (金) 17 時 28 分 21 秒 (日本時間)

29×10¹⁷⁹-53

c169

name 名前	Bob Backstrom
date 日付	March 19, 2023 15:01:23 UTC 2023 年 3 月 20 日 (月) 0 時 1 分 23 秒 (日本時間)
composite number 合成数	5668305315594183699536618515935927965333107458090289762231524704742703526196877636844538661434790056065726917396055811937870275276369293272246628897089099075583468880889<169>
prime factors 素因数	15302491579354028248964485462758195030465489761489870482739328191706055446106177<80> 370417149795514719335895994317091878150948095061730167736234608692760750071704544522454457<90>
factorization results 素因数分解の結果	Number: n N=5668305315594183699536618515935927965333107458090289762231524704742703526196877636844538661434790056065726917396055811937870275276369293272246628897089099075583468880889 ( 169 digits) SNFS difficulty: 179 digits. Divisors found: Fri Mar 17 20:56:30 2023 prp80 factor: 15302491579354028248964485462758195030465489761489870482739328191706055446106177 Fri Mar 17 20:56:30 2023 prp90 factor: 370417149795514719335895994317091878150948095061730167736234608692760750071704544522454457 Fri Mar 17 20:56:30 2023 elapsed time 00:47:24 (Msieve 1.44 - dependency 6) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.090). Factorization parameters were as follows: # # N = 29x10^179-5 = 96(178)5 # n: 5668305315594183699536618515935927965333107458090289762231524704742703526196877636844538661434790056065726917396055811937870275276369293272246628897089099075583468880889 m: 100000000000000000000000000000000000 deg: 5 c5: 58000 c0: -1 skew: 0.11 # Murphy_E = 9.516e-11 type: snfs lss: 1 rlim: 6900000 alim: 6900000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6900000/6900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved special-q in [100000, 21850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1925100 hash collisions in 14672886 relations (13549028 unique) Msieve: matrix is 1115927 x 1116155 (316.1 MB) Sieving start time: 2023/03/17 17:30:17 Sieving end time : 2023/03/17 20:08:52 Total sieving time: 2hrs 38min 35secs. Total relation processing time: 0hrs 35min 8sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 9min 3sec. Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6900000,6900000,27,27,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁸³-53

c137

name 名前	Eric Jeancolas
date 日付	June 15, 2023 03:10:31 UTC 2023 年 6 月 15 日 (木) 12 時 10 分 31 秒 (日本時間)
composite number 合成数	58970346404627700356171503121089762305753034665219808640431231003413318067035434163635787695315823293848729308779763419454800327008630249<137>
prime factors 素因数	22185178661666852692913841029539039640233420589617767553929209415299<68> 2658096529396939506013483675046130528171567810718668792195996886550051<70>
factorization results 素因数分解の結果	58970346404627700356171503121089762305753034665219808640431231003413318067035434163635787695315823293848729308779763419454800327008630249=221851786616668526929138410295390396402334205896177675539292094152992658096529396939506013483675046130528171567810718668792195996886550051 cado polynomial n: 58970346404627700356171503121089762305753034665219808640431231003413318067035434163635787695315823293848729308779763419454800327008630249 skew: 0.18 type: snfs c0: -1 c5: 5800 Y0: 1000000000000000000000000000000000000 Y1: -1 # f(x) = 5800x^5-1 # g(x) = -x+1000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 8100000 tasks.lim1 = 8100000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 53 tasks.sieve.mfb1 = 53 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 2658096529396939506013483675046130528171567810718668792195996886550051 22185178661666852692913841029539039640233420589617767553929209415299 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 422.32/135.172 Info:HTTP server: Got notification to stop serving Workunits Info:Generate Factor Base: Total cpu/real time for makefb: 3.46/1.90305 Info:Generate Free Relations: Total cpu/real time for freerel: 127.98/34.5831 Info:Square Root: Total cpu/real time for sqrt: 422.32/135.172 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.14/86.3155 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 83.2s Info:Quadratic Characters: Total cpu/real time for characters: 50.27/25.2941 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.53/201.423 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 178.8s Info:Filtering - Singleton removal: Total cpu/real time for purge: 93.13/88.0523 Info:Filtering - Merging: Merged matrix has 1439482 rows and total weight 245802911 (170.8 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 396.09/107.756 Info:Filtering - Merging: Total cpu/real time for replay: 51.42/56.1796 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22416499 Info:Lattice Sieving: Average J: 1893.77 for 1423416 special-q, max bucket fill -bkmult 1.0,1s:1.164040 Info:Lattice Sieving: Total time: 233753s Info:Linear Algebra: Total cpu/real time for bwc: 37422.3/9973.44 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 23784.88, WCT time 6168.2, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45056 iterations) Info:Linear Algebra: Lingen CPU time 217.0, WCT time 220.52 Info:Linear Algebra: Mksol: CPU time 13107.63, WCT time 3428.03, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22528 iterations) Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 477370/127986 Info:root: Cleaning up computation data in /tmp/cado.de6rid7k 2658096529396939506013483675046130528171567810718668792195996886550051 22185178661666852692913841029539039640233420589617767553929209415299
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic\|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	March 18, 2023 15:19:33 UTC 2023 年 3 月 19 日 (日) 0 時 19 分 33 秒 (日本時間)

29×10¹⁸⁶-53

c135

name 名前	Eric Jeancolas
date 日付	June 15, 2023 06:53:16 UTC 2023 年 6 月 15 日 (木) 15 時 53 分 16 秒 (日本時間)
composite number 合成数	224982145448605984932620392510479557554694344365797947316697925059210201870987699926962595097285965224623705369946329214785898402982131<135>
prime factors 素因数	1249421387467654779202251225408118327224612603381906655997<58> 180069068534678304210811757578342531294421185718457209384174502847203350568623<78>
factorization results 素因数分解の結果	224982145448605984932620392510479557554694344365797947316697925059210201870987699926962595097285965224623705369946329214785898402982131=1249421387467654779202251225408118327224612603381906655997180069068534678304210811757578342531294421185718457209384174502847203350568623 cado polynomial n: 224982145448605984932620392510479557554694344365797947316697925059210201870987699926962595097285965224623705369946329214785898402982131 skew: 0.44 type: snfs c0: -1 c5: 58 Y0: 10000000000000000000000000000000000000 Y1: -1 # f(x) = 58x^5-1 # g(x) = -x+10000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 9100000 tasks.lim1 = 9100000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 180069068534678304210811757578342531294421185718457209384174502847203350568623 1249421387467654779202251225408118327224612603381906655997 Info:Square Root: Total cpu/real time for sqrt: 832.24/259.914 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24090895 Info:Lattice Sieving: Average J: 1895.68 for 1511886 special-q, max bucket fill -bkmult 1.0,1s:1.154560 Info:Lattice Sieving: Total time: 272570s Info:Linear Algebra: Total cpu/real time for bwc: 48952.1/12621.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 31348.75, WCT time 8031.15, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54016 iterations) Info:Linear Algebra: Lingen CPU time 339.38, WCT time 86.26 Info:Linear Algebra: Mksol: CPU time 16946.64, WCT time 4372.86, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27136 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 3.83/2.17178 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 414.65/445.68 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 375.9s Info:Generate Free Relations: Total cpu/real time for freerel: 120.18/31.4211 Info:Square Root: Total cpu/real time for sqrt: 832.24/259.914 Info:Quadratic Characters: Total cpu/real time for characters: 61.74/26.2596 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.56/95.5457 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 95.0s Info:Filtering - Singleton removal: Total cpu/real time for purge: 281.98/268.611 Info:Filtering - Merging: Merged matrix has 1721435 rows and total weight 293914647 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 445.28/122.241 Info:Filtering - Merging: Total cpu/real time for replay: 64.68/57.5941 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 563847/150097 Info:root: Cleaning up computation data in /tmp/cado.qpa3o1as 180069068534678304210811757578342531294421185718457209384174502847203350568623 1249421387467654779202251225408118327224612603381906655997
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic\|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	March 28, 2023 13:54:19 UTC 2023 年 3 月 28 日 (火) 22 時 54 分 19 秒 (日本時間)

29×10¹⁸⁸-53

c186

name 名前	Bob Backstrom
date 日付	March 27, 2023 13:35:31 UTC 2023 年 3 月 27 日 (月) 22 時 35 分 31 秒 (日本時間)
composite number 合成数	802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213<186>
prime factors 素因数	10695242065711605147875710577484638890934732507665649<53> 75006530609997075475008830736757960086285413037952911702920976533686614509680584039172763567759365815463200397453931876935254875246837<134>
factorization results 素因数分解の結果	Number: n N=802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213 ( 186 digits) SNFS difficulty: 188 digits. Divisors found: Tue Mar 28 00:26:19 2023 prp53 factor: 10695242065711605147875710577484638890934732507665649 Tue Mar 28 00:26:19 2023 prp134 factor: 75006530609997075475008830736757960086285413037952911702920976533686614509680584039172763567759365815463200397453931876935254875246837 Tue Mar 28 00:26:19 2023 elapsed time 01:49:52 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.082). Factorization parameters were as follows: # # N = 29x10^188-5 = 96(187)5 # n: 802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213 m: 10000000000000000000000000000000000000 deg: 5 c5: 5800 c0: -1 skew: 0.18 # Murphy_E = 3.875e-11 type: snfs lss: 1 rlim: 9800000 alim: 9800000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 9800000/9800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved special-q in [100000, 16100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1333303 hash collisions in 12285611 relations (11679122 unique) Msieve: matrix is 1817850 x 1818098 (516.2 MB) Sieving start time: 2023/03/27 16:55:44 Sieving end time : 2023/03/27 22:36:13 Total sieving time: 5hrs 40min 29secs. Total relation processing time: 1hrs 40min 53sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 5min 42sec. Prototype def-par.txt line would be: snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,27,27,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10¹⁹¹-53

c178

name 名前	Bob Backstrom
date 日付	April 3, 2023 06:56:20 UTC 2023 年 4 月 3 日 (月) 15 時 56 分 20 秒 (日本時間)
composite number 合成数	6355570378575882499602740192272090218546297699644747659366887667465298063065140386123480352179000576847338326673893674088545983255082822965540507578658968952640274957532210485987<178>
prime factors 素因数	29703909923139951310856537271538689365027<41> 213964100854775472623960462107987637335759273862428805012134620288987156909531164641415359365953324925250428123512440105588684081265404481<138>
factorization results 素因数分解の結果	Number: n N=6355570378575882499602740192272090218546297699644747659366887667465298063065140386123480352179000576847338326673893674088545983255082822965540507578658968952640274957532210485987 ( 178 digits) SNFS difficulty: 191 digits. Divisors found: Mon Apr 3 16:33:50 2023 prp41 factor: 29703909923139951310856537271538689365027 Mon Apr 3 16:33:50 2023 prp138 factor: 213964100854775472623960462107987637335759273862428805012134620288987156909531164641415359365953324925250428123512440105588684081265404481 Mon Apr 3 16:33:50 2023 elapsed time 01:43:50 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.071). Factorization parameters were as follows: # # N = 29x10^191-5 = 96(190)5 # n: 6355570378575882499602740192272090218546297699644747659366887667465298063065140386123480352179000576847338326673893674088545983255082822965540507578658968952640274957532210485987 m: 100000000000000000000000000000000000000 deg: 5 c5: 58 c0: -1 skew: 0.44 # Murphy_E = 3.425e-11 type: snfs lss: 1 rlim: 11000000 alim: 11000000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 11000000/11000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved special-q in [100000, 16700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1475387 hash collisions in 13126234 relations (12421124 unique) Msieve: matrix is 1813770 x 1813998 (514.8 MB) Sieving start time: 2023/04/03 08:09:28 Sieving end time : 2023/04/03 14:49:46 Total sieving time: 6hrs 40min 18secs. Total relation processing time: 1hrs 37min 53sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 23sec. Prototype def-par.txt line would be: snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,27,27,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	March 3, 2023 07:32:27 UTC 2023 年 3 月 3 日 (金) 16 時 32 分 27 秒 (日本時間)

29×10¹⁹⁴-53

c135

name 名前	Dmitry Domanov
date 日付	April 12, 2023 17:23:42 UTC 2023 年 4 月 13 日 (木) 2 時 23 分 42 秒 (日本時間)
composite number 合成数	454905891993377973378604206737922084580091929230844072207663467226480335334992739141615338397391439654207973725396341014673769953280349<135>
prime factors 素因数	253262068101795649399945199193483297307<39> 1796186438035932046781526225107599512592313480729254309262108394568057230296585381265892359045607<97>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2971831330 Step 1 took 28457ms ********** Factor found in step 1: 253262068101795649399945199193483297307 Found prime factor of 39 digits: 253262068101795649399945199193483297307 Prime cofactor 1796186438035932046781526225107599512592313480729254309262108394568057230296585381265892359045607 has 97 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	March 3, 2023 07:32:35 UTC 2023 年 3 月 3 日 (金) 16 時 32 分 35 秒 (日本時間)
45	11e6	1000 / 4213	Dmitry Domanov	April 11, 2023 22:01:29 UTC 2023 年 4 月 12 日 (水) 7 時 1 分 29 秒 (日本時間)

29×10¹⁹⁵-53

c192

name 名前	Bob Backstrom
date 日付	April 20, 2023 12:47:06 UTC 2023 年 4 月 20 日 (木) 21 時 47 分 6 秒 (日本時間)
composite number 合成数	102820471910510734102714105905086067826056125795529082238649860837809569394954705809356662943856476803346983637362832172171107447393146483717137336240670814940878228651456327890939389104575511<192>
prime factors 素因数	24884539950602763346402956690459085957935757<44> 69425335403420473502663720741558646794576927211715748139883<59> 59515760855854966974804040304899988464569669470748174116584226908765791079191775617326681<89>
factorization results 素因数分解の結果	Number: n N=102820471910510734102714105905086067826056125795529082238649860837809569394954705809356662943856476803346983637362832172171107447393146483717137336240670814940878228651456327890939389104575511 ( 192 digits) SNFS difficulty: 196 digits. Divisors found: Thu Apr 20 22:34:59 2023 prp44 factor: 24884539950602763346402956690459085957935757 Thu Apr 20 22:34:59 2023 prp59 factor: 69425335403420473502663720741558646794576927211715748139883 Thu Apr 20 22:34:59 2023 prp89 factor: 59515760855854966974804040304899988464569669470748174116584226908765791079191775617326681 Thu Apr 20 22:34:59 2023 elapsed time 01:57:52 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.117). Factorization parameters were as follows: # # N = 29x10^195-5 = 96(194)5 # n: 102820471910510734102714105905086067826056125795529082238649860837809569394954705809356662943856476803346983637362832172171107447393146483717137336240670814940878228651456327890939389104575511 m: 1000000000000000000000000000000000000000 deg: 5 c5: 29 c0: -5 skew: 0.70 # Murphy_E = 2.543e-11 type: snfs lss: 1 rlim: 13200000 alim: 13200000 lpbr: 27 lpba: 27 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13200000/13200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 55/55 Sieved special-q in [100000, 25014281) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1572169 hash collisions in 13528803 relations (12740659 unique) Msieve: matrix is 1932879 x 1933106 (551.2 MB) Sieving start time: 2023/04/20 12:13:52 Sieving end time : 2023/04/20 20:36:52 Total sieving time: 8hrs 23min 0secs. Total relation processing time: 1hrs 49min 25sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 47sec. Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,13200000,13200000,27,27,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	March 3, 2023 07:32:43 UTC 2023 年 3 月 3 日 (金) 16 時 32 分 43 秒 (日本時間)
45	11e6	1000 / 4213	Dmitry Domanov	April 11, 2023 22:00:56 UTC 2023 年 4 月 12 日 (水) 7 時 0 分 56 秒 (日本時間)

29×10¹⁹⁶-53

c168

name 名前	Bob Backstrom
date 日付	May 6, 2023 05:15:32 UTC 2023 年 5 月 6 日 (土) 14 時 15 分 32 秒 (日本時間)
composite number 合成数	307067907906818239011445898101149121105106088312878314383359152836719433112165235586274218803982079835679147271834478786535126118872161522508243137488898480142872420441<168>
prime factors 素因数	64582924961830393914147355906099823135569354786247444154620762188581109<71> 4754629928704848696061932998338960377797579742289577706698039043490817916631742248155876019972949<97>
factorization results 素因数分解の結果	Number: n N=307067907906818239011445898101149121105106088312878314383359152836719433112165235586274218803982079835679147271834478786535126118872161522508243137488898480142872420441 ( 168 digits) SNFS difficulty: 196 digits. Divisors found: Sat May 6 15:06:41 2023 prp71 factor: 64582924961830393914147355906099823135569354786247444154620762188581109 Sat May 6 15:06:41 2023 prp97 factor: 4754629928704848696061932998338960377797579742289577706698039043490817916631742248155876019972949 Sat May 6 15:06:41 2023 elapsed time 02:16:59 (Msieve 1.44 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.084). Factorization parameters were as follows: # # N = 29x10^196-5 = 96(195)5 # n: 307067907906818239011445898101149121105106088312878314383359152836719433112165235586274218803982079835679147271834478786535126118872161522508243137488898480142872420441 m: 1000000000000000000000000000000000000000 deg: 5 c5: 58 c0: -1 skew: 0.44 # Murphy_E = 2.124e-11 type: snfs lss: 1 rlim: 13300000 alim: 13300000 lpbr: 27 lpba: 27 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13300000/13300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 55/55 Sieved special-q in [100000, 32250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1931199 hash collisions in 14534369 relations (13388621 unique) Msieve: matrix is 2028764 x 2028990 (573.1 MB) Sieving start time: 2023/05/06 01:15:44 Sieving end time : 2023/05/06 12:49:25 Total sieving time: 11hrs 33min 41secs. Total relation processing time: 2hrs 0min 58sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 12min 6sec. Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,27,27,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	March 3, 2023 07:32:51 UTC 2023 年 3 月 3 日 (金) 16 時 32 分 51 秒 (日本時間)
45	11e6	1000 / 4213	Dmitry Domanov	April 11, 2023 22:01:05 UTC 2023 年 4 月 12 日 (水) 7 時 1 分 5 秒 (日本時間)

29×10¹⁹⁷-53

c197

name 名前	Bob Backstrom
date 日付	April 23, 2023 19:46:38 UTC 2023 年 4 月 24 日 (月) 4 時 46 分 38 秒 (日本時間)
composite number 合成数	27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<197>
prime factors 素因数	24416430917487600872791532842387081204436798003930247260844042991298060485223874583<83> 1131166455588160166013577079653697759479840353357297135114432005788421505762501514987223646945276273531341134115893<115>
factorization results 素因数分解の結果	Number: n N=27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619 ( 197 digits) SNFS difficulty: 197 digits. Divisors found: Mon Apr 24 05:35:20 2023 prp83 factor: 24416430917487600872791532842387081204436798003930247260844042991298060485223874583 Mon Apr 24 05:35:20 2023 prp115 factor: 1131166455588160166013577079653697759479840353357297135114432005788421505762501514987223646945276273531341134115893 Mon Apr 24 05:35:20 2023 elapsed time 02:51:29 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.081). Factorization parameters were as follows: # # N = 29x10^197-5 = 96(196)5 # n: 27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619 m: 1000000000000000000000000000000000000000 deg: 5 c5: 580 c0: -1 skew: 0.28 # Murphy_E = 1.708e-11 type: snfs lss: 1 rlim: 13800000 alim: 13800000 lpbr: 27 lpba: 27 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13800000/13800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 55/55 Sieved special-q in [100000, 32523331) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1795814 hash collisions in 13643956 relations (12577606 unique) Msieve: matrix is 2343254 x 2343479 (665.7 MB) Sieving start time: 2023/04/23 14:28:56 Sieving end time : 2023/04/24 02:43:35 Total sieving time: 12hrs 14min 39secs. Total relation processing time: 2hrs 44min 9sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 19sec. Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13800000,13800000,27,27,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	March 3, 2023 07:32:59 UTC 2023 年 3 月 3 日 (金) 16 時 32 分 59 秒 (日本時間)
45	11e6	1000 / 4213	Dmitry Domanov	April 11, 2023 22:01:11 UTC 2023 年 4 月 12 日 (水) 7 時 1 分 11 秒 (日本時間)

29×10¹⁹⁹-53

c147

name 名前	Eric Jeancolas
date 日付	July 10, 2023 08:41:58 UTC 2023 年 7 月 10 日 (月) 17 時 41 分 58 秒 (日本時間)
composite number 合成数	432317470445441157697701778474364189367521172838521913331911509606249771205040359761179736146295857885193674131047211831289095940521916564227766963<147>
prime factors 素因数	517618533190783555207312501025031733511560902962382961102277<60> 835204774799085142949102082137396292246691840746717605030995523899199268003559274948119<87>
factorization results 素因数分解の結果	432317470445441157697701778474364189367521172838521913331911509606249771205040359761179736146295857885193674131047211831289095940521916564227766963=517618533190783555207312501025031733511560902962382961102277835204774799085142949102082137396292246691840746717605030995523899199268003559274948119 cado polynomial n: 432317470445441157697701778474364189367521172838521913331911509606249771205040359761179736146295857885193674131047211831289095940521916564227766963 skew: 0.11 type: snfs c0: -1 c5: 58000 Y0: 1000000000000000000000000000000000000000 Y1: -1 # f(x) = 58000x^5-1 # g(x) = -x+1000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 14900000 tasks.lim1 = 14900000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 517618533190783555207312501025031733511560902962382961102277 835204774799085142949102082137396292246691840746717605030995523899199268003559274948119 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 3105.15/169.524 Info:HTTP server: Got notification to stop serving Workunits Info:Linear Algebra: Total cpu/real time for bwc: 74626.7/9388.52 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 49059.2, WCT time 6162.06, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (73216 iterations) Info:Linear Algebra: Lingen CPU time 419.03, WCT time 27.14 Info:Linear Algebra: Mksol: CPU time 24675.02, WCT time 3143.44, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (36864 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 2.25/0.362414 Info:Generate Free Relations: Total cpu/real time for freerel: 67.76/6.14999 Info:Square Root: Total cpu/real time for sqrt: 3105.15/169.524 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 107.36/78.3145 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.89999999999999s Info:Quadratic Characters: Total cpu/real time for characters: 66.11/12.3174 Info:Filtering - Singleton removal: Total cpu/real time for purge: 336.33/232.752 Info:Filtering - Merging: Merged matrix has 2335001 rows and total weight 399015502 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 538.53/31.5261 Info:Filtering - Merging: Total cpu/real time for replay: 43.33/38.0455 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 26514109 Info:Lattice Sieving: Average J: 3794.92 for 1514956 special-q, max bucket fill -bkmult 1.0,1s:1.127240 Info:Lattice Sieving: Total time: 493854s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 447.12/323.044 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 239.39999999999995s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.01516e+06/51154.5 Info:root: Cleaning up computation data in /tmp/cado.tja1a3fe 517618533190783555207312501025031733511560902962382961102277 835204774799085142949102082137396292246691840746717605030995523899199268003559274948119
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic\|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] 13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	March 3, 2023 07:33:06 UTC 2023 年 3 月 3 日 (金) 16 時 33 分 6 秒 (日本時間)
45	11e6	1000 / 4213	Dmitry Domanov	April 11, 2023 22:01:19 UTC 2023 年 4 月 12 日 (水) 7 時 1 分 19 秒 (日本時間)

29×10²⁰⁰-53

c129

name 名前	Lionel Debroux
date 日付	March 5, 2023 07:28:34 UTC 2023 年 3 月 5 日 (日) 16 時 28 分 34 秒 (日本時間)
composite number 合成数	305409645257832474151848527961067513246552286938446111210854877862785927530860828738289343086038204065522960273283842096446706079<129>
prime factors 素因数	5672806925990866700768681171731139464284305710728780877523<58> 53837482791552385717850315924938427994176640131321923927391037721930373<71>
factorization results 素因数分解の結果	5672806925990866700768681171731139464284305710728780877523 53837482791552385717850315924938427994176640131321923927391037721930373
software ソフトウェア	CADO-NFS
execution environment 実行環境	8 x Xeon L5640, Debian sid amd64

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	February 27, 2023 16:39:07 UTC 2023 年 2 月 28 日 (火) 1 時 39 分 7 秒 (日本時間)

29×10²⁰¹-53

c156

composite cofactor 合成数の残り	637588324875477432900886582321942677334802807323053689052652574996541373732152776125650620183963279914597852418121452541959638174802469036177874604224143707<156>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	March 13, 2023 17:10:24 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 24 秒 (日本時間)
45	11e6	5480	1000	Dmitry Domanov	March 26, 2023 23:35:26 UTC 2023 年 3 月 27 日 (月) 8 時 35 分 26 秒 (日本時間)
45	11e6	5480	4480	Ignacio Santos	October 21, 2023 15:43:31 UTC 2023 年 10 月 22 日 (日) 0 時 43 分 31 秒 (日本時間)

29×10²⁰²-53

c181

name 名前	Bob Backstrom
date 日付	July 14, 2023 01:37:52 UTC 2023 年 7 月 14 日 (金) 10 時 37 分 52 秒 (日本時間)
composite number 合成数	4903034158243371673813096974644746647818322272046063872204633576764247052123148314173682769733466276587195911865158441272155189289351855581414909858925404503692368008564569216145711<181>
prime factors 素因数	157499105423778703037106786793217650142326234391801<51> 31130552424732232874792599190271931097007448903085942390279346502296389456402136119828205524070703789960626317776547659969048215911<131>
factorization results 素因数分解の結果	Number: n N=4903034158243371673813096974644746647818322272046063872204633576764247052123148314173682769733466276587195911865158441272155189289351855581414909858925404503692368008564569216145711 ( 181 digits) SNFS difficulty: 202 digits. Divisors found: Fri Jul 14 11:32:28 2023 prp51 factor: 157499105423778703037106786793217650142326234391801 Fri Jul 14 11:32:28 2023 prp131 factor: 31130552424732232874792599190271931097007448903085942390279346502296389456402136119828205524070703789960626317776547659969048215911 Fri Jul 14 11:32:28 2023 elapsed time 03:15:17 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.097). Factorization parameters were as follows: # # N = 29x10^202-5 = 96(201)5 # n: 4903034158243371673813096974644746647818322272046063872204633576764247052123148314173682769733466276587195911865158441272155189289351855581414909858925404503692368008564569216145711 m: 10000000000000000000000000000000000000000 deg: 5 c5: 580 c0: -1 skew: 0.28 # Murphy_E = 1.055e-11 type: snfs lss: 1 rlim: 16800000 alim: 16800000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16800000/16800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 34000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2741685 hash collisions in 16111021 relations (14043609 unique) Msieve: matrix is 2458534 x 2458759 (695.1 MB) Sieving start time: 2023/07/13 19:02:23 Sieving end time : 2023/07/14 08:16:44 Total sieving time: 13hrs 14min 21secs. Total relation processing time: 3hrs 0min 49sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 10min 2sec. Prototype def-par.txt line would be: snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:10:26 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 26 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 27, 2023 21:09:28 UTC 2023 年 3 月 28 日 (火) 6 時 9 分 28 秒 (日本時間)

29×10²⁰³-53

c177

name 名前	Bob Backstrom
date 日付	July 28, 2023 08:26:12 UTC 2023 年 7 月 28 日 (金) 17 時 26 分 12 秒 (日本時間)
composite number 合成数	549055685977511726449729034628882088279506141463309697825986446126147422570309171264819869202242136247815397153024065364920701869824653782138105594544692513031876113848744201909<177>
prime factors 素因数	874038606099053032175175356355514833913613594560955885395347271204373386127<75> 628182419113061869806519080115503655837828937314295956689977955650593740418946524576263515163128678267<102>
factorization results 素因数分解の結果	Number: n N=549055685977511726449729034628882088279506141463309697825986446126147422570309171264819869202242136247815397153024065364920701869824653782138105594544692513031876113848744201909 ( 177 digits) SNFS difficulty: 203 digits. Divisors found: Fri Jul 28 18:15:04 2023 prp75 factor: 874038606099053032175175356355514833913613594560955885395347271204373386127 Fri Jul 28 18:15:04 2023 prp102 factor: 628182419113061869806519080115503655837828937314295956689977955650593740418946524576263515163128678267 Fri Jul 28 18:15:04 2023 elapsed time 03:39:47 (Msieve 1.44 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.070). Factorization parameters were as follows: # # N = 29x10^203-5 = 96(202)5 # n: 549055685977511726449729034628882088279506141463309697825986446126147422570309171264819869202242136247815397153024065364920701869824653782138105594544692513031876113848744201909 m: 10000000000000000000000000000000000000000 deg: 5 c5: 5800 c0: -1 skew: 0.18 # Murphy_E = 9.222e-12 type: snfs lss: 1 rlim: 17400000 alim: 17400000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17400000/17400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 34300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2926478 hash collisions in 16444387 relations (14158954 unique) Msieve: matrix is 2538128 x 2538353 (717.3 MB) Sieving start time: 2023/07/28 00:17:47 Sieving end time : 2023/07/28 14:34:57 Total sieving time: 14hrs 17min 10secs. Total relation processing time: 3hrs 17min 47sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 17min 30sec. Prototype def-par.txt line would be: snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:10:30 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 30 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 27, 2023 21:08:25 UTC 2023 年 3 月 28 日 (火) 6 時 8 分 25 秒 (日本時間)

29×10²⁰⁴-53

c155

name 名前	Bob Backstrom
date 日付	September 6, 2023 04:26:47 UTC 2023 年 9 月 6 日 (水) 13 時 26 分 47 秒 (日本時間)
composite number 合成数	38125883368856037404674168639733141743999977811828107720853764698654540959351271606900396605063852814270057816755173075408019289779205206314383159134990201<155>
prime factors 素因数	235374857257316890611999086517124388005999184261<48> 161979422157125287821520970026174701320179332415057266832907283930766061852395533888656788449678205355005541<108>
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 38125883368856037404674168639733141743999977811828107720853764698654540959351271606900396605063852814270057816755173075408019289779205206314383159134990201 (155 digits) Using B1=56680000, B2=388127758210, polynomial Dickson(30), sigma=1:2911324140 Step 1 took 136047ms Step 2 took 61911ms ********** Factor found in step 2: 235374857257316890611999086517124388005999184261 Found prime factor of 48 digits: 235374857257316890611999086517124388005999184261 Prime cofactor 161979422157125287821520970026174701320179332415057266832907283930766061852395533888656788449678205355005541 has 108 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:10:34 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 34 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 26, 2023 23:35:30 UTC 2023 年 3 月 27 日 (月) 8 時 35 分 30 秒 (日本時間)

29×10²⁰⁵-53

c150

composite cofactor 合成数の残り	463941889694173341594333666034105135408834498821577182177111393175064129548312534502507607996982758783507811757376369406821134033569442097601421133889<150>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	March 13, 2023 17:10:37 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 37 秒 (日本時間)
45	11e6	5480	1000	Dmitry Domanov	March 26, 2023 23:35:34 UTC 2023 年 3 月 27 日 (月) 8 時 35 分 34 秒 (日本時間)
45	11e6	5480	4480	Ignacio Santos	February 5, 2024 14:23:14 UTC 2024 年 2 月 5 日 (月) 23 時 23 分 14 秒 (日本時間)

29×10²⁰⁶-53

c196

name 名前	Bob Backstrom
date 日付	April 7, 2024 16:32:48 UTC 2024 年 4 月 8 日 (月) 1 時 32 分 48 秒 (日本時間)
composite number 合成数	9376969175601745078582973727183843956352270968111238496822403829483903447561557560531743223011566428409903452515798388519756254719858330152597890958345303909535052115140717565336519689153193106477<196>
prime factors 素因数	941322685153261011896108243290721601235805663331823068512131<60> 9961482203177795758888856501703859332112706327570571292530521146608274608993809823448461094464367123990564752680768754146458853530842767<136>
factorization results 素因数分解の結果	Number: n N=9376969175601745078582973727183843956352270968111238496822403829483903447561557560531743223011566428409903452515798388519756254719858330152597890958345303909535052115140717565336519689153193106477 ( 196 digits) SNFS difficulty: 206 digits. Divisors found: Mon Apr 8 00:13:28 2024 prp60 factor: 941322685153261011896108243290721601235805663331823068512131 Mon Apr 8 00:13:28 2024 prp136 factor: 9961482203177795758888856501703859332112706327570571292530521146608274608993809823448461094464367123990564752680768754146458853530842767 Mon Apr 8 00:13:28 2024 elapsed time 03:10:35 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.086). Factorization parameters were as follows: # # N = 29x10^206-5 = 96(205)5 # n: 9376969175601745078582973727183843956352270968111238496822403829483903447561557560531743223011566428409903452515798388519756254719858330152597890958345303909535052115140717565336519689153193106477 m: 100000000000000000000000000000000000000000 deg: 5 c5: 58 c0: -1 skew: 0.44 # Murphy_E = 8.072e-12 type: snfs lss: 1 rlim: 19600000 alim: 19600000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19600000/19600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 42600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4042584 hash collisions in 19708065 relations (15853358 unique) Msieve: matrix is 2469308 x 2469533 (694.9 MB) Sieving start time: 2024/04/07 03:33:32 Sieving end time : 2024/04/07 20:59:23 Total sieving time: 17hrs 25min 51secs. Total relation processing time: 3hrs 0min 1sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 5min 32sec. Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:10:41 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 41 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 28, 2023 14:13:32 UTC 2023 年 3 月 28 日 (火) 23 時 13 分 32 秒 (日本時間)

29×10²⁰⁸-53

c192

name 名前	Dmitry Domanov
date 日付	March 15, 2023 05:47:21 UTC 2023 年 3 月 15 日 (水) 14 時 47 分 21 秒 (日本時間)
composite number 合成数	440369980585223035394418288232883326578965202916563487364108154661930843998647191886851410615777476017943836165994741701810071648790850898365197014245669047930143731301421307637539263493952689<192>
prime factors 素因数	167862851490862259887808827657528630141<39>
composite cofactor 合成数の残り	2623391516789495889668999851260450206651875621483902222315794625879506286473537650127669852080130763710005736306401766886138153662239353881336646528834629<154>
factorization results 素因数分解の結果	Resuming ECM residue saved by @79a3fb28deef with GMP-ECM 7.0.5-dev on Mon Mar 13 14:58:49 2023 Input number is 440369980585223035394418288232883326578965202916563487364108154661930843998647191886851410615777476017943836165994741701810071648790850898365197014245669047930143731301421307637539263493952689 (192 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1029197107 Step 1 took 0ms Step 2 took 3027ms ********** Factor found in step 2: 167862851490862259887808827657528630141 Found prime factor of 39 digits: 167862851490862259887808827657528630141 Composite cofactor 2623391516789495889668999851260450206651875621483902222315794625879506286473537650127669852080130763710005736306401766886138153662239353881336646528834629 has 154 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:10:44 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 44 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 26, 2023 23:35:39 UTC 2023 年 3 月 27 日 (月) 8 時 35 分 39 秒 (日本時間)

29×10²¹⁰-53

c161

composite cofactor 合成数の残り	30680408736548872158358192863346110941335677739868368766457340770471402310376926619708944712394185125125800296923215150572616657241189888965329452758715641283599<161>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:10:49 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 49 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 27, 2023 21:08:36 UTC 2023 年 3 月 28 日 (火) 6 時 8 分 36 秒 (日本時間)

29×10²¹²-53

c180

name 名前	Dmitry Domanov
date 日付	March 29, 2023 18:44:06 UTC 2023 年 3 月 30 日 (木) 3 時 44 分 6 秒 (日本時間)
composite number 合成数	477402613900566339289827109863709054639805188852954891129684539621124690832020264107512833737175099267799531323948057734985759641250530586659700735894911602309933421012371371686179<180>
prime factors 素因数	196860227520806455714874803673973236068469<42>
composite cofactor 合成数の残り	2425084131583201252275275419936670629780832160757503512820332388493823842083425708265234683720622764314234137131628544516449593229331009591<139>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:210126641 Step 1 took 30343ms Step 2 took 13388ms ********** Factor found in step 2: 196860227520806455714874803673973236068469 Found prime factor of 42 digits: 196860227520806455714874803673973236068469 Composite cofactor 2425084131583201252275275419936670629780832160757503512820332388493823842083425708265234683720622764314234137131628544516449593229331009591 has 139 digits

c139

name 名前	Ignacio Santos
date 日付	April 12, 2023 14:49:13 UTC 2023 年 4 月 12 日 (水) 23 時 49 分 13 秒 (日本時間)
composite number 合成数	2425084131583201252275275419936670629780832160757503512820332388493823842083425708265234683720622764314234137131628544516449593229331009591<139>
prime factors 素因数	72978518335383791953132709690446736709584656579<47> 33230109173200272863184044177025283662425980652774266622134905451685588552470787380123407229<92>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3010270242 Step 1 took 82484ms ********** Factor found in step 1: 72978518335383791953132709690446736709584656579 Found prime factor of 47 digits: 72978518335383791953132709690446736709584656579 Prime cofactor 33230109173200272863184044177025283662425980652774266622134905451685588552470787380123407229 has 92 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
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	March 13, 2023 17:10:53 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 53 秒 (日本時間)
45	11e6	5480	1000	Dmitry Domanov	March 27, 2023 21:08:45 UTC 2023 年 3 月 28 日 (火) 6 時 8 分 45 秒 (日本時間)
45	11e6	5480	4480	Ignacio Santos	April 2, 2023 08:44:55 UTC 2023 年 4 月 2 日 (日) 17 時 44 分 55 秒 (日本時間)

29×10²¹³-53

c167

name 名前	Dmitry Domanov
date 日付	March 15, 2023 05:46:59 UTC 2023 年 3 月 15 日 (水) 14 時 46 分 59 秒 (日本時間)
composite number 合成数	10088989578626312122958341169718411252305125641442277592785963776235655313266221563372520029876777932874790750656333271699919384023407592202472106325206660385917090503<167>
prime factors 素因数	73269653565181225623122594830620873809<38> 137696700990282046142761118502437645411772053205387501954176367719043032704352658877718365682835960563479594818130098192273231767<129>
factorization results 素因数分解の結果	Resuming ECM residue saved by @79a3fb28deef with GMP-ECM 7.0.5-dev on Mon Mar 13 14:18:43 2023 Input number is 10088989578626312122958341169718411252305125641442277592785963776235655313266221563372520029876777932874790750656333271699919384023407592202472106325206660385917090503 (167 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4111699607 Step 1 took 0ms Step 2 took 2991ms ********** Factor found in step 2: 73269653565181225623122594830620873809 Found prime factor of 38 digits: 73269653565181225623122594830620873809 Prime cofactor 137696700990282046142761118502437645411772053205387501954176367719043032704352658877718365682835960563479594818130098192273231767 has 129 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	March 13, 2023 17:10:57 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 57 秒 (日本時間)

29×10²¹⁶-53

c179

composite cofactor 合成数の残り	20608753874148573185071054608115207195500394256374879772545550580266857677708277043177211276854667898877688580085865146913364366494358547919788394506845638643531232451984819870133<179>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:11:02 UTC 2023 年 3 月 14 日 (火) 2 時 11 分 2 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 27, 2023 21:09:37 UTC 2023 年 3 月 28 日 (火) 6 時 9 分 37 秒 (日本時間)

29×10²¹⁷-53

c182

name 名前	Dmitry Domanov
date 日付	March 11, 2023 10:20:53 UTC 2023 年 3 月 11 日 (土) 19 時 20 分 53 秒 (日本時間)
composite number 合成数	12120428054695012938548581262297454421355436873065216123859086105340760354106315200697175202241219923845765090446699359053403636534790317524449994771111110723015536067439819446844517<182>
prime factors 素因数	127930340254849605578054333968426613<36> 94742404581664900596643716602777924290703313534618909689626475840277895178244129241116312256680477362123851139880541093727136522364046476345385009<146>
factorization results 素因数分解の結果	GPU: factor 127930340254849605578054333968426613 found in Step 1 with curve 1132 (-sigma 3:-1790082295) Computing 1792 Step 1 took 299ms of CPU time / 178552ms of GPU time Throughput: 10.036 curves per second (on average 99.64ms per Step 1) ********** Factor found in step 1: 127930340254849605578054333968426613 Found prime factor of 36 digits: 127930340254849605578054333968426613 Prime cofactor 94742404581664900596643716602777924290703313534618909689626475840277895178244129241116312256680477362123851139880541093727136522364046476345385009 has 146 digits Peak memory usage: 9428MB

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10²¹⁸-53

c193

composite cofactor 合成数の残り	4677494820495178451945294935675632081054964114089573166190373792263314506594709024334933109839152100107445967526612939764189637436427731804747197184717261518180892720570788015443919152950697209<193>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:11:06 UTC 2023 年 3 月 14 日 (火) 2 時 11 分 6 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 28, 2023 20:55:53 UTC 2023 年 3 月 29 日 (水) 5 時 55 分 53 秒 (日本時間)

29×10²²¹-53

c151

name 名前	Ignacio Santos
date 日付	March 4, 2023 11:38:20 UTC 2023 年 3 月 4 日 (土) 20 時 38 分 20 秒 (日本時間)
composite number 合成数	5256636442873596437453519339216485478131669396343199479954873587236857710111446679813644117675952409720040737925618041391523184651914482550342511106049<151>
prime factors 素因数	1295514615540040042563901759180395455789<40> 4057566298225318099598641157502907173170113629555631427722443556640412101221839655949436007413083972516836338341<112>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3772300213 Step 1 took 20891ms Step 2 took 9234ms ********** Factor found in step 2: 1295514615540040042563901759180395455789 Found prime factor of 40 digits: 1295514615540040042563901759180395455789 Prime cofactor 4057566298225318099598641157502907173170113629555631427722443556640412101221839655949436007413083972516836338341 has 112 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
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	February 26, 2023 17:03:52 UTC 2023 年 2 月 27 日 (月) 2 時 3 分 52 秒 (日本時間)

29×10²²³-53

c152

name 名前	Ignacio Santos
date 日付	February 26, 2023 17:11:01 UTC 2023 年 2 月 27 日 (月) 2 時 11 分 1 秒 (日本時間)
composite number 合成数	83739910693848595918236968799363012307556021758448811945968359023627884486482920715178544514144029419908490243830057343798718683567462398311222772955947<152>
prime factors 素因数	7216409070815526442218824575115089<34> 11604096978441543363650575956625278611090695202107547568099068627208900468335632189043141084400210473339976597944200123<119>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3699538233 Step 1 took 5562ms Step 2 took 2828ms ********** Factor found in step 2: 7216409070815526442218824575115089 Found prime factor of 34 digits: 7216409070815526442218824575115089 Prime cofactor 11604096978441543363650575956625278611090695202107547568099068627208900468335632189043141084400210473339976597944200123 has 119 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
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10²²⁴-53

c176

composite cofactor 合成数の残り	12516236618783426929627599856983441791961628895239724216750322176660259408337255744722572374844840665776149591715830552191321726757339576940435738089512194253638759729470292257<176>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:11:09 UTC 2023 年 3 月 14 日 (火) 2 時 11 分 9 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 27, 2023 21:09:48 UTC 2023 年 3 月 28 日 (火) 6 時 9 分 48 秒 (日本時間)

29×10²²⁵-53

c211

name 名前	Dmitry Domanov
date 日付	March 15, 2023 05:46:38 UTC 2023 年 3 月 15 日 (水) 14 時 46 分 38 秒 (日本時間)
composite number 合成数	1576824759605099084364665651561778329558286083626370259662492805849565172125379168483933921323661546764879182705196943082492591883414430628543184300579659082990777021818121679027863556205063426373484870156390279<211>
prime factors 素因数	1050653225867091103147257639709308517205773<43>
composite cofactor 合成数の残り	1500804186180235754724517018519510344822000677202851990561488796575005061712604635881312683858208825924984159388810241405659664626805833422943296276272454918822690327523<169>
factorization results 素因数分解の結果	Resuming ECM residue saved by @79a3fb28deef with GMP-ECM 7.0.5-dev on Mon Mar 13 13:45:09 2023 Input number is 1576824759605099084364665651561778329558286083626370259662492805849565172125379168483933921323661546764879182705196943082492591883414430628543184300579659082990777021818121679027863556205063426373484870156390279 (211 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3764359786 Step 1 took 0ms Step 2 took 3398ms ********** Factor found in step 2: 1050653225867091103147257639709308517205773 Found prime factor of 43 digits: 1050653225867091103147257639709308517205773 Composite cofactor 1500804186180235754724517018519510344822000677202851990561488796575005061712604635881312683858208825924984159388810241405659664626805833422943296276272454918822690327523 has 169 digits

c169

name 名前	Dmitry Domanov
date 日付	March 29, 2023 20:09:41 UTC 2023 年 3 月 30 日 (木) 5 時 9 分 41 秒 (日本時間)
composite number 合成数	1500804186180235754724517018519510344822000677202851990561488796575005061712604635881312683858208825924984159388810241405659664626805833422943296276272454918822690327523<169>
prime factors 素因数	152857185037785816666604075385081594472184343<45> 9818342433881938016508120720346568089437885341609643852220463259466078466736982104080485659101761566593147480963476812298261<124>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3836987442 Step 1 took 26433ms Step 2 took 12331ms ********** Factor found in step 2: 152857185037785816666604075385081594472184343 Found prime factor of 45 digits: 152857185037785816666604075385081594472184343 Prime cofactor 9818342433881938016508120720346568089437885341609643852220463259466078466736982104080485659101761566593147480963476812298261 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	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:11:15 UTC 2023 年 3 月 14 日 (火) 2 時 11 分 15 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 27, 2023 21:08:58 UTC 2023 年 3 月 28 日 (火) 6 時 8 分 58 秒 (日本時間)

29×10²²⁶-53

c227

name 名前	Dmitry Domanov
date 日付	March 15, 2023 05:45:14 UTC 2023 年 3 月 15 日 (水) 14 時 45 分 14 秒 (日本時間)
composite number 合成数	19333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<227>
prime factors 素因数	17052423723991755150944596871748757699<38>
composite cofactor 合成数の残り	1133758675380114604667859951258478217384395891726878751882914988593674747637744200665979486032847495225402357243599154961110511665755083451504687251308984707106651006051087748724536063682567<190>
factorization results 素因数分解の結果	Resuming ECM residue saved by @f59cb39d33d3 with GMP-ECM 7.0.5-dev on Sat Mar 11 08:40:11 2023 Input number is 19333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (227 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2845252275 Step 1 took 0ms Step 2 took 5515ms ********** Factor found in step 2: 17052423723991755150944596871748757699 Found prime factor of 38 digits: 17052423723991755150944596871748757699 Composite cofactor 1133758675380114604667859951258478217384395891726878751882914988593674747637744200665979486032847495225402357243599154961110511665755083451504687251308984707106651006051087748724536063682567 has 190 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:11:18 UTC 2023 年 3 月 14 日 (火) 2 時 11 分 18 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 28, 2023 20:56:04 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 4 秒 (日本時間)

29×10²²⁸-53

c189

composite cofactor 合成数の残り	694982144529524530407300101552190348947240941767889335586612430130854355032230855346142853447987186416402883910398802896715495850061161845973955720953704036680567418372845840156089893483771<189>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:11:58 UTC 2023 年 3 月 14 日 (火) 2 時 11 分 58 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 28, 2023 20:56:12 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 12 秒 (日本時間)

29×10²²⁹-53

c189

composite cofactor 合成数の残り	384679125807934418056572907487794480209141013058348499516842019357960806817149307952009252407779627119189591293067836172309425455279400362987466903047365916848908252667950246306729183377603<189>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:12:01 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 1 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 28, 2023 20:56:20 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 20 秒 (日本時間)

29×10²³¹-53

c163

composite cofactor 合成数の残り	3493424227555351357534519871494474717421686082532276481163240161248952210374059037842147845669511927337877489512326328780431146129645175501312868229493629526896783<163>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:12:04 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 4 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 27, 2023 21:09:07 UTC 2023 年 3 月 28 日 (火) 6 時 9 分 7 秒 (日本時間)

29×10²³²-53

c157

name 名前	Ignacio Santos
date 日付	March 7, 2023 08:24:01 UTC 2023 年 3 月 7 日 (火) 17 時 24 分 1 秒 (日本時間)
composite number 合成数	1794727709888334950444301222012342463468531298098341312449328391538184117452972397322212278484568631783398309898094856505951173284689338996087130233610005919<157>
prime factors 素因数	809123336725712340885389934585733065105051427<45>
composite cofactor 合成数の残り	2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597<112>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1976447481 Step 1 took 23562ms Step 2 took 10063ms ********** Factor found in step 2: 809123336725712340885389934585733065105051427 Found prime factor of 45 digits: 809123336725712340885389934585733065105051427 Composite cofactor 2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597 has 112 digits
software ソフトウェア	GMP-ECM

c112

name 名前	Ignacio Santos
date 日付	March 7, 2023 15:51:00 UTC 2023 年 3 月 8 日 (水) 0 時 51 分 0 秒 (日本時間)
composite number 合成数	2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597<112>
prime factors 素因数	88603736871240249186879432884326643924492419073707<50> 25034089597364237311580185780572012621311201987109154489654271<62>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=1750000, q1=1850000. -> client 1 q0: 1750000 LatSieveTime: 87 LatSieveTime: 94 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 130 -> makeJobFile(): Adjusted to q0=1850001, q1=1950000. -> client 1 q0: 1850001 LatSieveTime: 91 LatSieveTime: 93 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 126 LatSieveTime: 127 -> makeJobFile(): Adjusted to q0=1950001, q1=2050000. -> client 1 q0: 1950001 LatSieveTime: 90 LatSieveTime: 94 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 123 LatSieveTime: 124 -> makeJobFile(): Adjusted to q0=2050001, q1=2150000. -> client 1 q0: 2050001 LatSieveTime: 91 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 126 LatSieveTime: 127 -> makeJobFile(): Adjusted to q0=2150001, q1=2250000. -> client 1 q0: 2150001 LatSieveTime: 91 LatSieveTime: 93 LatSieveTime: 96 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 125 -> makeJobFile(): Adjusted to q0=2250001, q1=2350000. -> client 1 q0: 2250001 LatSieveTime: 87 LatSieveTime: 91 LatSieveTime: 91 LatSieveTime: 92 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 134 -> makeJobFile(): Adjusted to q0=2350001, q1=2450000. -> client 1 q0: 2350001 LatSieveTime: 91 LatSieveTime: 93 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 126 LatSieveTime: 143 Tue Mar 07 16:42:12 2023 Tue Mar 07 16:42:12 2023 Tue Mar 07 16:42:12 2023 Msieve v. 1.52 (SVN 927) Tue Mar 07 16:42:12 2023 random seeds: 5c789688 d4f7432f Tue Mar 07 16:42:12 2023 factoring 2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597 (112 digits) Tue Mar 07 16:42:12 2023 searching for 15-digit factors Tue Mar 07 16:42:12 2023 commencing number field sieve (112-digit input) Tue Mar 07 16:42:13 2023 R0: -4547992266726886114961 Tue Mar 07 16:42:13 2023 R1: 494982991531 Tue Mar 07 16:42:13 2023 A0: -17998850607179567548391911200 Tue Mar 07 16:42:13 2023 A1: 479989791505520055145660 Tue Mar 07 16:42:13 2023 A2: 7980707179339651448 Tue Mar 07 16:42:13 2023 A3: -73906248629279 Tue Mar 07 16:42:13 2023 A4: -472659652 Tue Mar 07 16:42:13 2023 A5: 1140 Tue Mar 07 16:42:13 2023 skew 139512.28, size 9.693e-011, alpha -6.247, combined = 7.540e-010 rroots = 5 Tue Mar 07 16:42:13 2023 Tue Mar 07 16:42:13 2023 commencing relation filtering Tue Mar 07 16:42:13 2023 estimated available RAM is 65413.5 MB Tue Mar 07 16:42:13 2023 commencing duplicate removal, pass 1 Tue Mar 07 16:42:25 2023 found 544698 hash collisions in 6529984 relations Tue Mar 07 16:42:33 2023 added 56409 free relations Tue Mar 07 16:42:33 2023 commencing duplicate removal, pass 2 Tue Mar 07 16:42:35 2023 found 301272 duplicates and 6285121 unique relations Tue Mar 07 16:42:35 2023 memory use: 24.6 MB Tue Mar 07 16:42:35 2023 reading ideals above 100000 Tue Mar 07 16:42:35 2023 commencing singleton removal, initial pass Tue Mar 07 16:42:57 2023 memory use: 188.3 MB Tue Mar 07 16:42:57 2023 reading all ideals from disk Tue Mar 07 16:42:57 2023 memory use: 212.4 MB Tue Mar 07 16:42:57 2023 keeping 7444328 ideals with weight <= 200, target excess is 33118 Tue Mar 07 16:42:58 2023 commencing in-memory singleton removal Tue Mar 07 16:42:58 2023 begin with 6285121 relations and 7444328 unique ideals Tue Mar 07 16:42:59 2023 reduce to 1358198 relations and 1447055 ideals in 24 passes Tue Mar 07 16:42:59 2023 max relations containing the same ideal: 68 Tue Mar 07 16:43:00 2023 filtering wants 1000000 more relations Tue Mar 07 16:43:00 2023 elapsed time 00:00:48 -> makeJobFile(): Adjusted to q0=2450001, q1=2550000. -> client 1 q0: 2450001 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 128 LatSieveTime: 133 LatSieveTime: 133 LatSieveTime: 134 LatSieveTime: 135 LatSieveTime: 139 Tue Mar 07 16:45:24 2023 Tue Mar 07 16:45:24 2023 Tue Mar 07 16:45:24 2023 Msieve v. 1.52 (SVN 927) Tue Mar 07 16:45:24 2023 random seeds: de9a3d74 3785212e Tue Mar 07 16:45:24 2023 factoring 2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597 (112 digits) Tue Mar 07 16:45:24 2023 searching for 15-digit factors Tue Mar 07 16:45:24 2023 commencing number field sieve (112-digit input) Tue Mar 07 16:45:24 2023 R0: -4547992266726886114961 Tue Mar 07 16:45:24 2023 R1: 494982991531 Tue Mar 07 16:45:24 2023 A0: -17998850607179567548391911200 Tue Mar 07 16:45:24 2023 A1: 479989791505520055145660 Tue Mar 07 16:45:24 2023 A2: 7980707179339651448 Tue Mar 07 16:45:24 2023 A3: -73906248629279 Tue Mar 07 16:45:24 2023 A4: -472659652 Tue Mar 07 16:45:24 2023 A5: 1140 Tue Mar 07 16:45:24 2023 skew 139512.28, size 9.693e-011, alpha -6.247, combined = 7.540e-010 rroots = 5 Tue Mar 07 16:45:24 2023 Tue Mar 07 16:45:24 2023 commencing relation filtering Tue Mar 07 16:45:24 2023 estimated available RAM is 65413.5 MB Tue Mar 07 16:45:24 2023 commencing duplicate removal, pass 1 Tue Mar 07 16:45:40 2023 found 700919 hash collisions in 7538990 relations Tue Mar 07 16:45:47 2023 added 1357 free relations Tue Mar 07 16:45:47 2023 commencing duplicate removal, pass 2 Tue Mar 07 16:45:49 2023 found 386467 duplicates and 7153880 unique relations Tue Mar 07 16:45:49 2023 memory use: 24.6 MB Tue Mar 07 16:45:49 2023 reading ideals above 100000 Tue Mar 07 16:45:49 2023 commencing singleton removal, initial pass Tue Mar 07 16:46:15 2023 memory use: 188.3 MB Tue Mar 07 16:46:15 2023 reading all ideals from disk Tue Mar 07 16:46:15 2023 memory use: 241.9 MB Tue Mar 07 16:46:15 2023 keeping 7927822 ideals with weight <= 200, target excess is 38020 Tue Mar 07 16:46:15 2023 commencing in-memory singleton removal Tue Mar 07 16:46:16 2023 begin with 7153880 relations and 7927822 unique ideals Tue Mar 07 16:46:18 2023 reduce to 2325008 relations and 2175137 ideals in 17 passes Tue Mar 07 16:46:18 2023 max relations containing the same ideal: 96 Tue Mar 07 16:46:18 2023 removing 392318 relations and 339434 ideals in 52884 cliques Tue Mar 07 16:46:18 2023 commencing in-memory singleton removal Tue Mar 07 16:46:18 2023 begin with 1932690 relations and 2175137 unique ideals Tue Mar 07 16:46:18 2023 reduce to 1878590 relations and 1779995 ideals in 8 passes Tue Mar 07 16:46:18 2023 max relations containing the same ideal: 80 Tue Mar 07 16:46:19 2023 removing 301626 relations and 248742 ideals in 52884 cliques Tue Mar 07 16:46:19 2023 commencing in-memory singleton removal Tue Mar 07 16:46:19 2023 begin with 1576964 relations and 1779995 unique ideals Tue Mar 07 16:46:19 2023 reduce to 1536192 relations and 1489297 ideals in 9 passes Tue Mar 07 16:46:19 2023 max relations containing the same ideal: 69 Tue Mar 07 16:46:20 2023 relations with 0 large ideals: 112 Tue Mar 07 16:46:20 2023 relations with 1 large ideals: 391 Tue Mar 07 16:46:20 2023 relations with 2 large ideals: 5782 Tue Mar 07 16:46:20 2023 relations with 3 large ideals: 43941 Tue Mar 07 16:46:20 2023 relations with 4 large ideals: 170920 Tue Mar 07 16:46:20 2023 relations with 5 large ideals: 369607 Tue Mar 07 16:46:20 2023 relations with 6 large ideals: 458373 Tue Mar 07 16:46:20 2023 relations with 7+ large ideals: 487066 Tue Mar 07 16:46:20 2023 commencing 2-way merge Tue Mar 07 16:46:20 2023 reduce to 867397 relation sets and 820502 unique ideals Tue Mar 07 16:46:20 2023 commencing full merge Tue Mar 07 16:46:28 2023 memory use: 93.7 MB Tue Mar 07 16:46:29 2023 found 430504 cycles, need 422702 Tue Mar 07 16:46:29 2023 weight of 422702 cycles is about 29595379 (70.01/cycle) Tue Mar 07 16:46:29 2023 distribution of cycle lengths: Tue Mar 07 16:46:29 2023 1 relations: 46930 Tue Mar 07 16:46:29 2023 2 relations: 45781 Tue Mar 07 16:46:29 2023 3 relations: 46872 Tue Mar 07 16:46:29 2023 4 relations: 42962 Tue Mar 07 16:46:29 2023 5 relations: 39778 Tue Mar 07 16:46:29 2023 6 relations: 34248 Tue Mar 07 16:46:29 2023 7 relations: 30538 Tue Mar 07 16:46:29 2023 8 relations: 26672 Tue Mar 07 16:46:29 2023 9 relations: 22780 Tue Mar 07 16:46:29 2023 10+ relations: 86141 Tue Mar 07 16:46:29 2023 heaviest cycle: 21 relations Tue Mar 07 16:46:29 2023 commencing cycle optimization Tue Mar 07 16:46:29 2023 start with 2579740 relations Tue Mar 07 16:46:32 2023 pruned 52818 relations Tue Mar 07 16:46:32 2023 memory use: 87.3 MB Tue Mar 07 16:46:32 2023 distribution of cycle lengths: Tue Mar 07 16:46:32 2023 1 relations: 46930 Tue Mar 07 16:46:32 2023 2 relations: 46668 Tue Mar 07 16:46:32 2023 3 relations: 48289 Tue Mar 07 16:46:32 2023 4 relations: 43817 Tue Mar 07 16:46:32 2023 5 relations: 40609 Tue Mar 07 16:46:32 2023 6 relations: 34718 Tue Mar 07 16:46:32 2023 7 relations: 30752 Tue Mar 07 16:46:32 2023 8 relations: 26754 Tue Mar 07 16:46:32 2023 9 relations: 22679 Tue Mar 07 16:46:32 2023 10+ relations: 81486 Tue Mar 07 16:46:32 2023 heaviest cycle: 21 relations Tue Mar 07 16:46:32 2023 RelProcTime: 68 Tue Mar 07 16:46:32 2023 elapsed time 00:01:08 Tue Mar 07 16:46:32 2023 Tue Mar 07 16:46:32 2023 Tue Mar 07 16:46:32 2023 Msieve v. 1.52 (SVN 927) Tue Mar 07 16:46:32 2023 random seeds: d71847e4 12c72e10 Tue Mar 07 16:46:32 2023 factoring 2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597 (112 digits) Tue Mar 07 16:46:33 2023 searching for 15-digit factors Tue Mar 07 16:46:33 2023 commencing number field sieve (112-digit input) Tue Mar 07 16:46:33 2023 R0: -4547992266726886114961 Tue Mar 07 16:46:33 2023 R1: 494982991531 Tue Mar 07 16:46:33 2023 A0: -17998850607179567548391911200 Tue Mar 07 16:46:33 2023 A1: 479989791505520055145660 Tue Mar 07 16:46:33 2023 A2: 7980707179339651448 Tue Mar 07 16:46:33 2023 A3: -73906248629279 Tue Mar 07 16:46:33 2023 A4: -472659652 Tue Mar 07 16:46:33 2023 A5: 1140 Tue Mar 07 16:46:33 2023 skew 139512.28, size 9.693e-011, alpha -6.247, combined = 7.540e-010 rroots = 5 Tue Mar 07 16:46:33 2023 Tue Mar 07 16:46:33 2023 commencing linear algebra Tue Mar 07 16:46:33 2023 read 422702 cycles Tue Mar 07 16:46:33 2023 cycles contain 1471668 unique relations Tue Mar 07 16:46:36 2023 read 1471668 relations Tue Mar 07 16:46:37 2023 using 20 quadratic characters above 134212658 Tue Mar 07 16:46:41 2023 building initial matrix Tue Mar 07 16:46:48 2023 memory use: 184.1 MB Tue Mar 07 16:46:49 2023 read 422702 cycles Tue Mar 07 16:46:49 2023 matrix is 422522 x 422702 (126.4 MB) with weight 39981269 (94.59/col) Tue Mar 07 16:46:49 2023 sparse part has weight 28477339 (67.37/col) Tue Mar 07 16:46:51 2023 filtering completed in 2 passes Tue Mar 07 16:46:51 2023 matrix is 421526 x 421706 (126.3 MB) with weight 39937533 (94.70/col) Tue Mar 07 16:46:51 2023 sparse part has weight 28461608 (67.49/col) Tue Mar 07 16:46:51 2023 matrix starts at (0, 0) Tue Mar 07 16:46:51 2023 matrix is 421526 x 421706 (126.3 MB) with weight 39937533 (94.70/col) Tue Mar 07 16:46:51 2023 sparse part has weight 28461608 (67.49/col) Tue Mar 07 16:46:51 2023 saving the first 48 matrix rows for later Tue Mar 07 16:46:52 2023 matrix includes 64 packed rows Tue Mar 07 16:46:52 2023 matrix is 421478 x 421706 (122.1 MB) with weight 31776032 (75.35/col) Tue Mar 07 16:46:52 2023 sparse part has weight 27798388 (65.92/col) Tue Mar 07 16:46:52 2023 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Tue Mar 07 16:46:53 2023 commencing Lanczos iteration (32 threads) Tue Mar 07 16:46:53 2023 memory use: 94.4 MB Tue Mar 07 16:46:58 2023 linear algebra at 2.9%, ETA 0h 2m Tue Mar 07 16:49:44 2023 lanczos halted after 6667 iterations (dim = 421476) Tue Mar 07 16:49:44 2023 recovered 29 nontrivial dependencies Tue Mar 07 16:49:44 2023 BLanczosTime: 191 Tue Mar 07 16:49:44 2023 elapsed time 00:03:12 Tue Mar 07 16:49:44 2023 Tue Mar 07 16:49:44 2023 Tue Mar 07 16:49:44 2023 Msieve v. 1.52 (SVN 927) Tue Mar 07 16:49:44 2023 random seeds: 765de180 30df7396 Tue Mar 07 16:49:44 2023 factoring 2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597 (112 digits) Tue Mar 07 16:49:45 2023 searching for 15-digit factors Tue Mar 07 16:49:45 2023 commencing number field sieve (112-digit input) Tue Mar 07 16:49:45 2023 R0: -4547992266726886114961 Tue Mar 07 16:49:45 2023 R1: 494982991531 Tue Mar 07 16:49:45 2023 A0: -17998850607179567548391911200 Tue Mar 07 16:49:45 2023 A1: 479989791505520055145660 Tue Mar 07 16:49:45 2023 A2: 7980707179339651448 Tue Mar 07 16:49:45 2023 A3: -73906248629279 Tue Mar 07 16:49:45 2023 A4: -472659652 Tue Mar 07 16:49:45 2023 A5: 1140 Tue Mar 07 16:49:45 2023 skew 139512.28, size 9.693e-011, alpha -6.247, combined = 7.540e-010 rroots = 5 Tue Mar 07 16:49:45 2023 Tue Mar 07 16:49:45 2023 commencing square root phase Tue Mar 07 16:49:45 2023 reading relations for dependency 1 Tue Mar 07 16:49:45 2023 read 210867 cycles Tue Mar 07 16:49:45 2023 cycles contain 737032 unique relations Tue Mar 07 16:49:47 2023 read 737032 relations Tue Mar 07 16:49:48 2023 multiplying 737032 relations Tue Mar 07 16:50:02 2023 multiply complete, coefficients have about 30.04 million bits Tue Mar 07 16:50:03 2023 initial square root is modulo 424275961 Tue Mar 07 16:50:20 2023 sqrtTime: 35 Tue Mar 07 16:50:20 2023 prp50 factor: 88603736871240249186879432884326643924492419073707 Tue Mar 07 16:50:20 2023 prp62 factor: 25034089597364237311580185780572012621311201987109154489654271 Tue Mar 07 16:50:20 2023 elapsed time 00:00:36
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	March 1, 2023 08:45:29 UTC 2023 年 3 月 1 日 (水) 17 時 45 分 29 秒 (日本時間)

29×10²³³-53

c209

composite cofactor 合成数の残り

29680202957512687556826965010041943264893318753965269449003394896865657316607755951166399235456587824518916745434676744355296488603889193035058110123780320128530920022940345562281651190452771245835365219972147<209>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:12:08 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 8 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	April 5, 2023 07:04:32 UTC 2023 年 4 月 5 日 (水) 16 時 4 分 32 秒 (日本時間)

29×10²³⁵-53

c191

composite cofactor 合成数の残り	23163958748437745747442130493908810403333627449347994873512290095117020350541314371655456791479427679820353692905554651675395557352281576889183595715968180120453485127800111253958793095620681<191>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:12:12 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 12 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 28, 2023 20:56:27 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 27 秒 (日本時間)

29×10²³⁶-53

c201

composite cofactor 合成数の残り

348209363008009654301281240726861289571321864014120827289425986177509154017847153326017237186531965103822827681937562754880287527914677551229094248718609232234629194141493605223256609952493805077448137<201>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 13, 2023 17:12:16 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 16 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	October 25, 2023 09:42:42 UTC 2023 年 10 月 25 日 (水) 18 時 42 分 42 秒 (日本時間)

29×10²³⁷-53

c196

name 名前	Dmitry Domanov
date 日付	March 30, 2023 04:57:41 UTC 2023 年 3 月 30 日 (木) 13 時 57 分 41 秒 (日本時間)
composite number 合成数	1751819422577366427973239647751682478384893767311275584693671602830739074196665978468122681471828203566657938405582579118829392771742272576647224103031715023320338918004113601312685786053287651777<196>
prime factors 素因数	1815616777823074246371117646850590949976076933<46> 964861882735958801391998080634666911527114020577729685387412549386106132505778969410218310693275219498733836513772695083147900064655406064375286809869<150>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=840041800 Step 1 took 48652ms Step 2 took 15828ms ********** Factor found in step 2: 1815616777823074246371117646850590949976076933 Found probable prime factor of 46 digits: 1815616777823074246371117646850590949976076933 Probable prime cofactor 964861882735958801391998080634666911527114020577729685387412549386106132505778969410218310693275219498733836513772695083147900064655406064375286809869 has 150 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:12:19 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 19 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 28, 2023 20:56:37 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 37 秒 (日本時間)

29×10²³⁸-53

c199

composite cofactor 合成数の残り

5012435335422359391252469628553241720387321229622998041037871735531217501983702148273211479601501741202151075462483859812558466797542723188261571617388183116413826970446198314943403856307756604636767<199>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:12:24 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 24 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 28, 2023 20:56:44 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 44 秒 (日本時間)

29×10²³⁹-53

c186

composite cofactor 合成数の残り	325943463754807152359148769154583806355038521746684298490204265302094550765476352001649168813058397902403743773580272938977230946802936945016638360650834708102841021443790473235091242861<186>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:12:29 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 29 秒 (日本時間)
45	11e6	1000 / 4038	Dmitry Domanov	March 28, 2023 20:56:54 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 54 秒 (日本時間)

29×10²⁴⁰-53

c238

composite cofactor 合成数の残り

4139900071377587437544610992148465381870092790863668807994289793004996431120628122769450392576730906495360456816559600285510349750178443968593861527480371163454675231977159172019985724482512491077801570306923625981441827266238401142041399<238>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:12:49 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 49 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:18:11 UTC 2023 年 3 月 25 日 (土) 8 時 18 分 11 秒 (日本時間)

29×10²⁴¹-53

c212

name 名前	Ignacio Santos
date 日付	October 25, 2023 09:43:10 UTC 2023 年 10 月 25 日 (水) 18 時 43 分 10 秒 (日本時間)
composite number 合成数	19120318225808842969095441765690632717391175055985306989074938297148671496890973993825000595471056412294231959453790272718607731202237512307472045920349552076690210049421948035824635065748976786687055981285137167<212>
prime factors 素因数	35141559953025652820255484814423448154877491851<47>
composite cofactor 合成数の残り	544094179409431791051743015524328728873677610303310794782298997629311876109120093962507585457230608554149409906075540321825537334106357909034506705893294385785480717<165>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1265589511 Step 1 took 6469ms Step 2 took 3250ms ********** Factor found in step 2: 35141559953025652820255484814423448154877491851 Found prime factor of 47 digits: 35141559953025652820255484814423448154877491851 Composite cofactor 544094179409431791051743015524328728873677610303310794782298997629311876109120093962507585457230608554149409906075540321825537334106357909034506705893294385785480717 has 165 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
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 13, 2023 17:12:53 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 53 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	October 28, 2023 16:19:45 UTC 2023 年 10 月 29 日 (日) 1 時 19 分 45 秒 (日本時間)
45	11e6	4480		Ignacio Santos	October 29, 2023 08:52:12 UTC 2023 年 10 月 29 日 (日) 17 時 52 分 12 秒 (日本時間)

29×10²⁴³-53

c150

composite cofactor 合成数の残り	346635793555920444046630356223772506942738306713210578144968505013345664076479111922075769546840058141312667927154870954753520731254382462466306481201<150>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	February 26, 2023 16:54:36 UTC 2023 年 2 月 27 日 (月) 1 時 54 分 36 秒 (日本時間)
45	11e6	4480	Ignacio Santos	March 4, 2023 11:22:30 UTC 2023 年 3 月 4 日 (土) 20 時 22 分 30 秒 (日本時間)
50	43e6	6454	Ignacio Santos	December 9, 2023 10:04:16 UTC 2023 年 12 月 9 日 (土) 19 時 4 分 16 秒 (日本時間)

29×10²⁴⁴-53

c235

composite cofactor 合成数の残り

5114772618741240703316865641211565859409855776826083618335099626139408052544338484736630783976714315448336043383700299180925718620321314426959779731273054808367451488021304513710317277053855598543100018915848934435482844578241581490431<235>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:12:59 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 59 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:18:20 UTC 2023 年 3 月 25 日 (土) 8 時 18 分 20 秒 (日本時間)

29×10²⁴⁶-53

c218

composite cofactor 合成数の残り

78435844428634556618501576309012609820940342261437886458516432746331733169354138306879065178745762634893054912423484523297486456946882803336882915864937328605126765805704584931396872392859813400810149126858652817925303<218>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 13, 2023 17:13:02 UTC 2023 年 3 月 14 日 (火) 2 時 13 分 2 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	October 25, 2023 09:59:30 UTC 2023 年 10 月 25 日 (水) 18 時 59 分 30 秒 (日本時間)

29×10²⁴⁷-53

c210

composite cofactor 合成数の残り

851083092883885423408207311220653531892921041386330250814591472459991525176139703369003425505855069581183461086400968795309428650628730852657500004825624149193430454079160996048598550493325370840616194580549341<210>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 13, 2023 17:13:06 UTC 2023 年 3 月 14 日 (火) 2 時 13 分 6 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	October 25, 2023 10:11:04 UTC 2023 年 10 月 25 日 (水) 19 時 11 分 4 秒 (日本時間)

29×10²⁴⁹-53

c233

composite cofactor 合成数の残り

92979494880576494381859539664146820680213170160940653074351418342614075779099430344017368580025959197422502829706652408483458074937782672631118386596611652952142302722023369509666277218272321788167441705856862571352500458526497972153<233>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:13:09 UTC 2023 年 3 月 14 日 (火) 2 時 13 分 9 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:18:28 UTC 2023 年 3 月 25 日 (土) 8 時 18 分 28 秒 (日本時間)

29×10²⁵¹-53

c230

name 名前	Dmitry Domanov
date 日付	March 28, 2023 21:26:44 UTC 2023 年 3 月 29 日 (水) 6 時 26 分 44 秒 (日本時間)
composite number 合成数	82949443831053261212256134829396387770639690505633325039818481860819603148929490639620807983350484079822709185026402988286615634790025942280306187788404902608211115951450708331289910745530115114143605692756542102227528429203845141<230>
prime factors 素因数	198733327629655565787628543364451510253849867<45>
composite cofactor 合成数の残り	417390705526913864674593452830172860580165599772604611587695448297280274138487709850133657565029252883057709958783981752251418300687916444686293429284467671270415654465943462939359734623<186>
factorization results 素因数分解の結果	Resuming ECM residue saved by @3263f46be529 with GMP-ECM 7.0.5-dev on Sat Mar 25 11:22:34 2023 Input number is 82949443831053261212256134829396387770639690505633325039818481860819603148929490639620807983350484079822709185026402988286615634790025942280306187788404902608211115951450708331289910745530115114143605692756542102227528429203845141 (230 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:355398819 Step 1 took 0ms Step 2 took 19167ms ********** Factor found in step 2: 198733327629655565787628543364451510253849867 Found prime factor of 45 digits: 198733327629655565787628543364451510253849867 Composite cofactor 417390705526913864674593452830172860580165599772604611587695448297280274138487709850133657565029252883057709958783981752251418300687916444686293429284467671270415654465943462939359734623 has 186 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	March 13, 2023 17:13:13 UTC 2023 年 3 月 14 日 (火) 2 時 13 分 13 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 24, 2023 23:18:37 UTC 2023 年 3 月 25 日 (土) 8 時 18 分 37 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 26, 2023 22:38:54 UTC 2023 年 3 月 27 日 (月) 7 時 38 分 54 秒 (日本時間)

29×10²⁵²-53

c251

composite cofactor 合成数の残り

19931271477663230240549828178694158075601374570446735395189003436426116838487972508591065292096219931271477663230240549828178694158075601374570446735395189003436426116838487972508591065292096219931271477663230240549828178694158075601374570446735395189<251>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:13:18 UTC 2023 年 3 月 14 日 (火) 2 時 13 分 18 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 16, 2023 21:07:48 UTC 2023 年 3 月 17 日 (金) 6 時 7 分 48 秒 (日本時間)

29×10²⁵⁴-53

c218

composite cofactor 合成数の残り

30583906487916411570777972897194476435222664007271608378155180871844628085203622242855336551928954824871668319194350327617943390654474910655590523166426051908320944917805882106152099323971487309861018140840080702513737<218>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 13, 2023 17:13:56 UTC 2023 年 3 月 14 日 (火) 2 時 13 分 56 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	October 25, 2023 10:23:42 UTC 2023 年 10 月 25 日 (水) 19 時 23 分 42 秒 (日本時間)

29×10²⁵⁶-53

c238

composite cofactor 合成数の残り

3467505770336583502808065996990924108668511469142737100381498306431744438849689931576849068798005700709575605292223548905517183965268722923969673063538150889778560924319659875158752279459028448950750028477810589322506412930836247805278001<238>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:14:00 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 0 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:18:45 UTC 2023 年 3 月 25 日 (土) 8 時 18 分 45 秒 (日本時間)

29×10²⁵⁷-53

c257

composite cofactor 合成数の残り

27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<257>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:14:03 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 3 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 16, 2023 21:07:57 UTC 2023 年 3 月 17 日 (金) 6 時 7 分 57 秒 (日本時間)

29×10²⁵⁸-53

c254

composite cofactor 合成数の残り

88689083597106900928177133507653256265577931709405630227686285303607199106992675504992583757664724681560316222456687615639861155710506598161995198556508708350535957306910102909919415263697111488294570087312873679220759362050246953224154013181032769087267<254>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:14:06 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 6 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 16, 2023 21:08:05 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 5 秒 (日本時間)

29×10²⁶⁰-53

c207

name 名前	Dmitry Domanov
date 日付	March 11, 2023 10:21:31 UTC 2023 年 3 月 11 日 (土) 19 時 21 分 31 秒 (日本時間)
composite number 合成数	548148339093523010369446258469489194947591074591653542011579985027271066890634534370473481971781818301915625912752730595689889529179843908984155240978164125204377862810884552058096197921009488857364299709717<207>
prime factors 素因数	5477690120162057157240264749426393<34>
composite cofactor 合成数の残り	100069249458986568644185369490612321858162318873218122048439200468649890189079253808009884540783148664250689471102632243911807301225667897774589530138482492087464770620570269<174>
factorization results 素因数分解の結果	GPU: factor 5477690120162057157240264749426393 found in Step 1 with curve 1430 (-sigma 3:-1379870761) Computing 1792 Step 1 took 232ms of CPU time / 175361ms of GPU time Throughput: 10.219 curves per second (on average 97.86ms per Step 1) ********** Factor found in step 1: 5477690120162057157240264749426393 Found prime factor of 34 digits: 5477690120162057157240264749426393 Composite cofactor 100069249458986568644185369490612321858162318873218122048439200468649890189079253808009884540783148664250689471102632243911807301225667897774589530138482492087464770620570269 has 174 digits Peak memory usage: 9428MB

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 11, 2023 10:21:18 UTC 2023 年 3 月 11 日 (土) 19 時 21 分 18 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	March 12, 2023 17:18:50 UTC 2023 年 3 月 13 日 (月) 2 時 18 分 50 秒 (日本時間)
45	11e6	4480		Ignacio Santos	March 15, 2023 10:30:17 UTC 2023 年 3 月 15 日 (水) 19 時 30 分 17 秒 (日本時間)

29×10²⁶¹-53

c217

composite cofactor 合成数の残り

1455129937250833466093313459929303116212012346510277717455386539154730890753995362274156426490837865211402517393161019284245764378225553072904973576165143882352135379320529839235718953116317833307616045828103696421021<217>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 13, 2023 17:14:13 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 13 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	October 25, 2023 10:36:21 UTC 2023 年 10 月 25 日 (水) 19 時 36 分 21 秒 (日本時間)

29×10²⁶²-53

c158

name 名前	Ignacio Santos
date 日付	March 1, 2023 09:21:43 UTC 2023 年 3 月 1 日 (水) 18 時 21 分 43 秒 (日本時間)
composite number 合成数	72705025814659177169832743166930581038367337741276025455470586147042852312638964410844531471527726654483954118172284758742618475338101173243117793389314861347<158>
prime factors 素因数	3758171780234467088946967743232582592846017<43> 19345849542333376827292287340577111897127983816703519220560934737017410261684540662243603081156066978211322251851491<116>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1699822001 Step 1 took 6422ms Step 2 took 3062ms ********** Factor found in step 2: 3758171780234467088946967743232582592846017 Found prime factor of 43 digits: 3758171780234467088946967743232582592846017 Prime cofactor 19345849542333376827292287340577111897127983816703519220560934737017410261684540662243603081156066978211322251851491 has 116 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
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10²⁶³-53

c241

composite cofactor 合成数の残り

1039544397521080713411124834605998455726567563653317913206629023538151144731651637476241630124206734892797648658317405877559209822619034317105045430648384824377513566953294373024955789898534159139245409181750517870427560354476491568535377811<241>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:14:15 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 15 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:18:53 UTC 2023 年 3 月 25 日 (土) 8 時 18 分 53 秒 (日本時間)

29×10²⁶⁵-53

c240

composite cofactor 合成数の残り

442995661223890426017741109319244261082664108967804240709744603880729657740769499474776567940999354848536962800184682477561978096079455701452383613146705625009858796480682963326458485122271179174523876998073256283951018664673018697805918873<240>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:14:19 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 19 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:19:02 UTC 2023 年 3 月 25 日 (土) 8 時 19 分 2 秒 (日本時間)

29×10²⁶⁶-53

c238

composite cofactor 合成数の残り

9069341242058909446156364290854419470040410197445866805020241862764138215081883871284526220553979062838888858348369684431343064419186268038366420269841509418356511379897597375892382524744801636754520728616396359833744288225244161261860971<238>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:14:22 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 22 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:19:11 UTC 2023 年 3 月 25 日 (土) 8 時 19 分 11 秒 (日本時間)

29×10²⁶⁹-53

c210

composite cofactor 合成数の残り

639126204415456075936929444903892939771412849223877449865223842072673074661944502789551621098953629156220416864433479755369121798840688384399052852440464348356533917589232635861939130434952453814033244349123617<210>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 13, 2023 17:14:26 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 26 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	October 25, 2023 14:05:28 UTC 2023 年 10 月 25 日 (水) 23 時 5 分 28 秒 (日本時間)

29×10²⁷⁰-53

c217

name 名前	Dmitry Domanov
date 日付	March 15, 2023 05:46:15 UTC 2023 年 3 月 15 日 (水) 14 時 46 分 15 秒 (日本時間)
composite number 合成数	5990841374720382059111225441671955203019966304104697698903164893247586839071314806154287957015666710890264340899521930536432538800186221409816113460881992649188285899190909249291409665274178491910969194016678629673197<217>
prime factors 素因数	522024027518550972427210611100572413<36> 11476179368980267430444184354513129464014819358927128788524094162106414540539961564036799060469543850145481503823779892608451198009360816509506192356525555184197962341414084692385969<182>
factorization results 素因数分解の結果	Resuming ECM residue saved by @79a3fb28deef with GMP-ECM 7.0.5-dev on Mon Mar 13 13:20:00 2023 Input number is 5990841374720382059111225441671955203019966304104697698903164893247586839071314806154287957015666710890264340899521930536432538800186221409816113460881992649188285899190909249291409665274178491910969194016678629673197 (217 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:550543121 Step 1 took 0ms Step 2 took 3687ms ********** Factor found in step 2: 522024027518550972427210611100572413 Found prime factor of 36 digits: 522024027518550972427210611100572413 Prime cofactor 11476179368980267430444184354513129464014819358927128788524094162106414540539961564036799060469543850145481503823779892608451198009360816509506192356525555184197962341414084692385969 has 182 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	March 13, 2023 17:14:30 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 30 秒 (日本時間)

29×10²⁷¹-53

c269

composite cofactor 合成数の残り

53554939981532779316712834718374884579870729455216989843028624192059095106186518928901200369344413665743305632502308402585410895660203139427516158818097876269621421975992613111726685133887349953831948291782086795937211449676823638042474607571560480147737765466297322253<269>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:14:34 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 34 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 16, 2023 21:08:14 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 14 秒 (日本時間)

29×10²⁷²-53

c251

composite cofactor 合成数の残り

14724692416750593099078103150094087852449745406312874208086193887907922464876340169184865787916235670973053360081790467414495708093695649720246589779495231069214284924170689003099832503722615493868075536162284798546653946502603301144268514027614032271<251>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:14:38 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 38 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 16, 2023 21:08:23 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 23 秒 (日本時間)

29×10²⁷³-53

c266

composite cofactor 合成数の残り

25656504952256185934850074244838266192316817210411832599603738819840672484951541961919403301179141560504804474717409854443260101838542048403942666965467631583046123136882669268448598521600523378545712949086209736080070979340245363861813940468158757869861952565218537<266>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	March 13, 2023 17:14:42 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 42 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 16, 2023 21:08:30 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 30 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 24, 2023 05:46:02 UTC 2023 年 3 月 24 日 (金) 14 時 46 分 2 秒 (日本時間)

29×10²⁷⁵-53

c264

composite cofactor 合成数の残り

949012353283211382454285705232496405595418619644483731684461641473060295851293304396933987373573376804181824745065346254276316076351313116832114131551625795834478043303385238140984859395627520133657343717944617888735444718260131154780176551204904822494437601618387<264>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:14:45 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 45 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 16, 2023 21:08:37 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 37 秒 (日本時間)

29×10²⁷⁹-53

c216

composite cofactor 合成数の残り

164710162160606758293508341721615755838396261153622228190307116869964459773640429215959051717543329730063382773649306224521544109662702017503225462012528334356670177922528682592161448082486879195490902599052533868661<216>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 13, 2023 17:14:49 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 49 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	October 25, 2023 14:21:30 UTC 2023 年 10 月 25 日 (水) 23 時 21 分 30 秒 (日本時間)

29×10²⁸¹-53

c254

composite cofactor 合成数の残り

13112493355675769081882666167708007636262010534070418183116057778169919460466272986278931671409478058602109900628272013891449782620277574616717324394091850021223403929363571560350763768307287788435627032778615140980179979874676660843711559971510034028567<254>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:15:31 UTC 2023 年 3 月 14 日 (火) 2 時 15 分 31 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 16, 2023 21:08:44 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 44 秒 (日本時間)

29×10²⁸²-53

c258

composite cofactor 合成数の残り

672411788193070896306956653408766757593722698937284523101490763882530438709523124839576916790127808808545646578686248249540932872394079790345188006570107663123564081590131568448019245633190264676483557318873176846404603610832830867879488834456668347901343211<258>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:15:34 UTC 2023 年 3 月 14 日 (火) 2 時 15 分 34 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 16, 2023 21:08:51 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 51 秒 (日本時間)

29×10²⁸³-53

c246

composite cofactor 合成数の残り

451552374799194463544173781422802068797080735987390455418714971310466714086917806640264066776698018207441347142699239443927671141176435828882767902570677434683195528163028865160630277337903157889464275279722443969778649049674546504810255868563789<246>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:15:38 UTC 2023 年 3 月 14 日 (火) 2 時 15 分 38 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:19:19 UTC 2023 年 3 月 25 日 (土) 8 時 19 分 19 秒 (日本時間)

29×10²⁸⁴-53

c266

name 名前	Dmitry Domanov
date 日付	March 15, 2023 05:45:35 UTC 2023 年 3 月 15 日 (水) 14 時 45 分 35 秒 (日本時間)
composite number 合成数	38665509191854350591004671697809343019591574996686556499123660196231988252635649032668152832305595740899649070468470557783486003792221921405979507729704931237604380344823745568975320889961714834142795320424961945983224829388339051683757486177530010791899292547767541<266>
prime factors 素因数	9651638955774823007949840639079081<34>
composite cofactor 合成数の残り	4006108119980988850334458126967627236969014514796689225796580095674980748016256152224382885134799136979301329350441473146947655357645034702586319185458647100713666238358345354253204929565064926236438012829965301086561985727819895661<232>
factorization results 素因数分解の結果	Resuming ECM residue saved by @f59cb39d33d3 with GMP-ECM 7.0.5-dev on Sat Mar 11 09:32:01 2023 Input number is 38665509191854350591004671697809343019591574996686556499123660196231988252635649032668152832305595740899649070468470557783486003792221921405979507729704931237604380344823745568975320889961714834142795320424961945983224829388339051683757486177530010791899292547767541 (266 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3496201186 Step 1 took 0ms Step 2 took 4621ms ********** Factor found in step 2: 9651638955774823007949840639079081 Found prime factor of 34 digits: 9651638955774823007949840639079081 Composite cofactor 4006108119980988850334458126967627236969014514796689225796580095674980748016256152224382885134799136979301329350441473146947655357645034702586319185458647100713666238358345354253204929565064926236438012829965301086561985727819895661 has 232 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:15:41 UTC 2023 年 3 月 14 日 (火) 2 時 15 分 41 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:19:28 UTC 2023 年 3 月 25 日 (土) 8 時 19 分 28 秒 (日本時間)

29×10²⁸⁵-53

c279

name 名前	Dmitry Domanov
date 日付	March 22, 2023 06:15:37 UTC 2023 年 3 月 22 日 (水) 15 時 15 分 37 秒 (日本時間)
composite number 合成数	136367741289140216203530076481377468423638050107762256385789794816629237248434727568876113269208989276863733805654761128036777345311781681453279483122999023818577485549545421661164580980842848098585788934289158343708449719085979696301046178043650984823140326661400520684952593283<279>
prime factors 素因数	1663584705037872500838122458585195408638587<43>
composite cofactor 合成数の残り	81972225926443416662951397268729991005217531060034075821657166334409968647524293719910484201537661935133392707527964097602728436246908012691718228132204779057533842441715211006712527113653901912399922456619195206071172377091080446458009<236>
factorization results 素因数分解の結果	Resuming ECM residue saved by @77bd1e898d36 with GMP-ECM 7.0.5-dev on Sat Mar 18 08:53:47 2023 Input number is 136367741289140216203530076481377468423638050107762256385789794816629237248434727568876113269208989276863733805654761128036777345311781681453279483122999023818577485549545421661164580980842848098585788934289158343708449719085979696301046178043650984823140326661400520684952593283 (279 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1937370887 Step 1 took 0ms Step 2 took 25367ms ********** Factor found in step 2: 1663584705037872500838122458585195408638587 Found prime factor of 43 digits: 1663584705037872500838122458585195408638587 Composite cofactor 81972225926443416662951397268729991005217531060034075821657166334409968647524293719910484201537661935133392707527964097602728436246908012691718228132204779057533842441715211006712527113653901912399922456619195206071172377091080446458009 has 236 digits

c236

name 名前	Seth Troisi
date 日付	November 17, 2023 22:28:42 UTC 2023 年 11 月 18 日 (土) 7 時 28 分 42 秒 (日本時間)
composite number 合成数	81972225926443416662951397268729991005217531060034075821657166334409968647524293719910484201537661935133392707527964097602728436246908012691718228132204779057533842441715211006712527113653901912399922456619195206071172377091080446458009<236>
prime factors 素因数	4310580243065630730568188564480974671872047369<46> 19016517801358871190554299492143091870249172425309829442562471961020543624247698524031478345594267824421187421991631622837802663700435555722074471805066599366675718788933330119050682175436561<191>
factorization results 素因数分解の結果	Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 16 13:19:04 2023 Input number is 81972225926443416662951397268729991005217531060034075821657166334409968647524293719910484201537661935133392707527964097602728436246908012691718228132204779057533842441715211006712527113653901912399922456619195206071172377091080446458009 (236 digits) Using mpz_mod Using lmax = 8388608 with NTT which takes about 2784MB of memory Using B1=4000000000-4000000000, B2=205705378426380, polynomial x^1 P = 24249225, l = 8388608, s_1 = 4147200, k = s_2 = 2, m_1 = 79 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.71 0.43 0.21 0.087 0.032 0.01 0.003 0.00079 0.00019 4.5e-05 Step 1 took 0ms Computing F from factored S_1 took 29028ms Computing h took 4059ms Computing DCT-I of h took 8535ms Multi-point evaluation 1 of 2: Computing g_i took 13655ms Computing gh took 16562ms Computing gcd of coefficients and N took 3848ms Multi-point evaluation 2 of 2: Computing g_i took 13627ms Computing gh took 16641ms Computing gcd of coefficients and N took 3934ms Step 2 took 110289ms ********** Factor found in step 2: 4310580243065630730568188564480974671872047369 Found prime factor of 46 digits: 4310580243065630730568188564480974671872047369 Prime cofactor 19016517801358871190554299492143091870249172425309829442562471961020543624247698524031478345594267824421187421991631622837802663700435555722074471805066599366675718788933330119050682175436561 has 191 digits
execution environment 実行環境	1080 ti for stage 1

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:15:45 UTC 2023 年 3 月 14 日 (火) 2 時 15 分 45 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 17, 2023 23:05:17 UTC 2023 年 3 月 18 日 (土) 8 時 5 分 17 秒 (日本時間)

29×10²⁸⁶-53

c272

composite cofactor 合成数の残り

43383907370176514680912675589540693059675996506109147081615111998367932091472411188544584285790297555019762096469638071167461453598902388590061119271558068715804719364746252643616362139060219123732009551227195096887232582994214257860402755212649038135376727805581261524273<272>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:16:00 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 0 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 17, 2023 23:05:25 UTC 2023 年 3 月 18 日 (土) 8 時 5 分 25 秒 (日本時間)

29×10²⁸⁷-53

c200

composite cofactor 合成数の残り

33676205814940196030211420196459273650717273901419426910619321410513181139337460323376310473560655604811075493721051351627629584065920805893381215784729848539419115673163407864550915279070457577591863<200>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	March 13, 2023 17:16:05 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 5 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	October 25, 2023 14:22:13 UTC 2023 年 10 月 25 日 (水) 23 時 22 分 13 秒 (日本時間)

29×10²⁸⁸-53

c289

name 名前	Dmitry Domanov
date 日付	March 22, 2023 06:15:19 UTC 2023 年 3 月 22 日 (水) 15 時 15 分 19 秒 (日本時間)
composite number 合成数	1933333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<289>
prime factors 素因数	666299049944214363754872413773496647651183<42>
composite cofactor 合成数の残り	2901600015031089923211978843962424461460840063610324938594717269229938244438210761321285943935479068977770316415021186976316318449799029963069578244341727316932641767698519179897123113671798810537265009770993321221364185638278680106961368833181051<247>
factorization results 素因数分解の結果	Resuming ECM residue saved by @77bd1e898d36 with GMP-ECM 7.0.5-dev on Sat Mar 18 07:15:58 2023 Input number is 1933333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (289 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1741496578 Step 1 took 0ms Step 2 took 25482ms ********** Factor found in step 2: 666299049944214363754872413773496647651183 Found prime factor of 42 digits: 666299049944214363754872413773496647651183 Composite cofactor 2901600015031089923211978843962424461460840063610324938594717269229938244438210761321285943935479068977770316415021186976316318449799029963069578244341727316932641767698519179897123113671798810537265009770993321221364185638278680106961368833181051 has 247 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:16:09 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 9 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 17, 2023 23:05:35 UTC 2023 年 3 月 18 日 (土) 8 時 5 分 35 秒 (日本時間)

29×10²⁸⁹-53

c287

name 名前	Dmitry Domanov
date 日付	March 15, 2023 05:45:54 UTC 2023 年 3 月 15 日 (水) 14 時 45 分 54 秒 (日本時間)
composite number 合成数	16681046879493816508484325568018406672418751797526603393730227207362668967500719010641357492090882945067587000287604256542996836353178027034800115041702617198734541271210813920046016681046879493816508484325568018406672418751797526603393730227207362668967500719010641357492090882945067587<287>
prime factors 素因数	1678690803746207478957001919201373302924353<43>
composite cofactor 合成数の残り	9936938263001134020449434517335106695637123230309048642043808338141935415356942383752429604585808822225305530867476112747530709783226355004809760426388929008879671243062033543402438693886195208331510756221171195938239802951727558554758108142979<244>
factorization results 素因数分解の結果	Resuming ECM residue saved by @f59cb39d33d3 with GMP-ECM 7.0.5-dev on Sat Mar 11 10:07:38 2023 Input number is 16681046879493816508484325568018406672418751797526603393730227207362668967500719010641357492090882945067587000287604256542996836353178027034800115041702617198734541271210813920046016681046879493816508484325568018406672418751797526603393730227207362668967500719010641357492090882945067587 (287 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1727790662 Step 1 took 0ms Step 2 took 5637ms ********** Factor found in step 2: 1678690803746207478957001919201373302924353 Found prime factor of 43 digits: 1678690803746207478957001919201373302924353 Composite cofactor 9936938263001134020449434517335106695637123230309048642043808338141935415356942383752429604585808822225305530867476112747530709783226355004809760426388929008879671243062033543402438693886195208331510756221171195938239802951727558554758108142979 has 244 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:16:12 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 12 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:19:45 UTC 2023 年 3 月 25 日 (土) 8 時 19 分 45 秒 (日本時間)

29×10²⁹¹-53

c276

name 名前	Dmitry Domanov
date 日付	March 21, 2023 11:18:52 UTC 2023 年 3 月 21 日 (火) 20 時 18 分 52 秒 (日本時間)
composite number 合成数	323432581000475944559962039295805498914777212770642068516178402457860603604601931401791712154117300155652402359055217823381042634543029717750502465687327703406433962521281051786669445719445655717429125924533977473959516541874207143641782343595057121497010997060073053193231069<276>
prime factors 素因数	211976072084967693933384909307317547787<39>
composite cofactor 合成数の残り	1525797595073997038200707374045465722514975070254949061663065943022968070768221915139425939692301322738603203602566583348967318160678911263441045470009990394198430482843680012014538192593721645721089492068330025864922620187903828392712887<238>
factorization results 素因数分解の結果	Resuming ECM residue saved by @77bd1e898d36 with GMP-ECM 7.0.5-dev on Sat Mar 18 05:21:46 2023 Input number is 323432581000475944559962039295805498914777212770642068516178402457860603604601931401791712154117300155652402359055217823381042634543029717750502465687327703406433962521281051786669445719445655717429125924533977473959516541874207143641782343595057121497010997060073053193231069 (276 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3256717678 Step 1 took 0ms Step 2 took 24915ms ********** Factor found in step 2: 211976072084967693933384909307317547787 Found prime factor of 39 digits: 211976072084967693933384909307317547787 Composite cofactor 1525797595073997038200707374045465722514975070254949061663065943022968070768221915139425939692301322738603203602566583348967318160678911263441045470009990394198430482843680012014538192593721645721089492068330025864922620187903828392712887 has 238 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:16:17 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 17 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 17, 2023 23:05:42 UTC 2023 年 3 月 18 日 (土) 8 時 5 分 42 秒 (日本時間)

29×10²⁹²-53

c269

name 名前	Dmitry Domanov
date 日付	March 22, 2023 14:17:14 UTC 2023 年 3 月 22 日 (水) 23 時 17 分 14 秒 (日本時間)
composite number 合成数	21103633188582433688366793561209565400706202003364965925970235461237742315605050654346852693696790244449722855745037181993334959858349599278720087768726356838877037407618760216666271117010879699903901218015662361624201862139747879142931450033924619781044937344322270339<269>
prime factors 素因数	44676121441257353818351963009762736593841<41> 472369411394197745856911381935200282535717304704014632113669292788172842799401821657146047927805409455140060111300762868904146759870079275439193164640031115907934389646404479337262128365399839866968377476476890428364833140900979<228>
factorization results 素因数分解の結果	Resuming ECM residue saved by @b90e1d2e8033 with GMP-ECM 7.0.5-dev on Fri Mar 17 04:49:40 2023 Input number is 21103633188582433688366793561209565400706202003364965925970235461237742315605050654346852693696790244449722855745037181993334959858349599278720087768726356838877037407618760216666271117010879699903901218015662361624201862139747879142931450033924619781044937344322270339 (269 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:47524549 Step 1 took 0ms Step 2 took 16510ms ********** Factor found in step 2: 44676121441257353818351963009762736593841 Found prime factor of 41 digits: 44676121441257353818351963009762736593841 Prime cofactor 472369411394197745856911381935200282535717304704014632113669292788172842799401821657146047927805409455140060111300762868904146759870079275439193164640031115907934389646404479337262128365399839866968377476476890428364833140900979 has 228 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:16:21 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 21 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 16, 2023 21:08:59 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 59 秒 (日本時間)

29×10²⁹³-53

c254

composite cofactor 合成数の残り

16105484968836988909269893205983679841593119592245303546329910869716934191540473733531432089059187679863379929445956604167776628688838107125002775952471944115286865834792596247897917819763122882208735511093807110613594360076566366891227749128622744541411<254>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:16:24 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 24 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 16, 2023 21:09:07 UTC 2023 年 3 月 17 日 (金) 6 時 9 分 7 秒 (日本時間)

29×10²⁹⁴-53

c245

composite cofactor 合成数の残り

78993572048509411011676870662347403931813728625866183606588076723290513111054400591344215039618266185442803536196221499363452983092488748951512513865830236654674748961475949540770935884067658554929812673293827960823899374722153366827925570220181<245>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:16:27 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 27 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:19:58 UTC 2023 年 3 月 25 日 (土) 8 時 19 分 58 秒 (日本時間)

29×10²⁹⁵-53

c245

composite cofactor 合成数の残り

26014339091921770521862204144572563414558692955979275660689908163793463871224999377611599543034643899035740926025599991924443562140895911591384770185379161120143387637042451086240904823084393451367418268877712921111717656810132673153684170415163<245>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:16:31 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 31 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 24, 2023 23:20:07 UTC 2023 年 3 月 25 日 (土) 8 時 20 分 7 秒 (日本時間)

29×10²⁹⁶-53

c269

composite cofactor 合成数の残り

59760669758324941345348638174862430982389101264669181145363027846728683660896433949565218890320333453401264522862145357127082384967017976908755617782564228248340420364890541963939739376207026846653636873955067801689388657390442703682129857965706816070982632364359571831<269>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:16:34 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 34 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 16, 2023 21:09:17 UTC 2023 年 3 月 17 日 (金) 6 時 9 分 17 秒 (日本時間)

29×10²⁹⁷-53

c251

composite cofactor 合成数の残り

19758978283932316745930773930507880204508439921522505481493591456803502586431271430001124661352235185564050283869874396845130117268454602917837308407277879695536268844948237811616387815993302462465096999921444232054271421835819452479361409376091188707<251>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:16:39 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 39 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 16, 2023 21:09:24 UTC 2023 年 3 月 17 日 (金) 6 時 9 分 24 秒 (日本時間)

29×10²⁹⁸-53

c239

name 名前	Dmitry Domanov
date 日付	March 13, 2023 16:59:11 UTC 2023 年 3 月 14 日 (火) 1 時 59 分 11 秒 (日本時間)
composite number 合成数	32746236582108786222299369730762811161924596198078866120176921768271117364584045546152974263856784647762849081673169490849035548658151840561661583008332282542844879107492718935628008886732080559590168215866042826275596971226591745808590593<239>
prime factors 素因数	2397074634439892104449827199792800191<37>
composite cofactor 合成数の残り	13660916565395292104048074979631057538759020322430883784681697287429849810830488690698743121939015890079144088980074549420327301818462254504520443736360692906760142980262950258711350145285972214416828223<203>
factorization results 素因数分解の結果	GPU: factor 2397074634439892104449827199792800191 found in Step 1 with curve 724 (-sigma 3:901350712) Computing 1792 Step 1 took 361ms of CPU time / 267942ms of GPU time Throughput: 6.688 curves per second (on average 149.52ms per Step 1) ********** Factor found in step 1: 2397074634439892104449827199792800191 Found prime factor of 37 digits: 2397074634439892104449827199792800191 Composite cofactor 13660916565395292104048074979631057538759020322430883784681697287429849810830488690698743121939015890079144088980074549420327301818462254504520443736360692906760142980262950258711350145285972214416828223 has 203 digits Peak memory usage: 9428MB

c203

name 名前	Ignacio Santos
date 日付	October 25, 2023 14:30:46 UTC 2023 年 10 月 25 日 (水) 23 時 30 分 46 秒 (日本時間)
composite number 合成数	13660916565395292104048074979631057538759020322430883784681697287429849810830488690698743121939015890079144088980074549420327301818462254504520443736360692906760142980262950258711350145285972214416828223<203>
prime factors 素因数	319824758463286592665867254851235161411<39> 42713755592387822007476008467096303016540580463091402926535732320651911465654132060790920927584354225363383386793577303485974047509595573392467118007197957205547093<164>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:698460475 Step 1 took 8703ms Step 2 took 3953ms ********** Factor found in step 2: 319824758463286592665867254851235161411 Found prime factor of 39 digits: 319824758463286592665867254851235161411 Prime cofactor 42713755592387822007476008467096303016540580463091402926535732320651911465654132060790920927584354225363383386793577303485974047509595573392467118007197957205547093 has 164 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
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	March 13, 2023 16:59:04 UTC 2023 年 3 月 14 日 (火) 1 時 59 分 4 秒 (日本時間)

29×10²⁹⁹-53

c282

composite cofactor 合成数の残り

130655935931912935997742382391364272576578374294275303643322607486829862862499916036925331355728816100824314287899668792782672596651990455412525554333706596632966663582752747338070512094164814871025323444956437997181710502653533903478086800708321492897872662828576663045053216163053<282>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	March 13, 2023 17:16:42 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 42 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 17, 2023 23:05:53 UTC 2023 年 3 月 18 日 (土) 8 時 5 分 53 秒 (日本時間)

29×10³⁰⁰-53

c262

name 名前	Dmitry Domanov
date 日付	February 20, 2023 14:54:18 UTC 2023 年 2 月 20 日 (月) 23 時 54 分 18 秒 (日本時間)
composite number 合成数	2485072228353808665328981164029444575021375443361381880709481966291960109998117387567589245933862106952646424844849967451372918405290734404340816244822207424016760452395318816570334362953001294371716175085144793717946542339766666315209295965674415574024164554323<262>
prime factors 素因数	1890692437467890638413107511511267<34>
composite cofactor 合成数の残り	1314371485867865959890270954011153502233597964851332958766479267195280931000208255468290010035909630467346797407500794705297599016174156156222430349381317628610943231025759755303280440980070849595552242672761091936829756891170769<229>
factorization results 素因数分解の結果	Resuming ECM residue saved by @a1fb4c068622 with GMP-ECM 7.0.5-dev on Mon Feb 20 14:21:43 2023 Input number is 2485072228353808665328981164029444575021375443361381880709481966291960109998117387567589245933862106952646424844849967451372918405290734404340816244822207424016760452395318816570334362953001294371716175085144793717946542339766666315209295965674415574024164554323 (262 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1106887258 Step 1 took 0ms Step 2 took 7832ms ********** Factor found in step 2: 1890692437467890638413107511511267 Found prime factor of 34 digits: 1890692437467890638413107511511267 Composite cofactor 1314371485867865959890270954011153502233597964851332958766479267195280931000208255468290010035909630467346797407500794705297599016174156156222430349381317628610943231025759755303280440980070849595552242672761091936829756891170769 has 229 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792	Dmitry Domanov	February 23, 2023 09:00:23 UTC 2023 年 2 月 23 日 (木) 18 時 0 分 23 秒 (日本時間)
45	11e6	3584	Dmitry Domanov	February 23, 2023 09:00:23 UTC 2023 年 2 月 23 日 (木) 18 時 0 分 23 秒 (日本時間)
50	43e6	130 / 6675	Dmitry Domanov	February 23, 2023 09:00:23 UTC 2023 年 2 月 23 日 (木) 18 時 0 分 23 秒 (日本時間)