Contributed factorization results of 900...004

Table of contents 目次

9×10¹²⁶+4
- c126
- ECM
9×10¹²⁹+4
- c108
- ECM
9×10¹⁴²+4
- c109
- ECM
9×10¹⁴⁴+4
- c117
- ECM
9×10¹⁴⁵+4
- c132
- ECM
9×10¹⁴⁸+4
- c112
- ECM
9×10¹⁴⁹+4
- c138
- ECM
9×10¹⁵¹+4
- c149
- ECM
9×10¹⁵⁴+4
- c149
- ECM
9×10¹⁵⁵+4
- c148
- ECM
9×10¹⁶⁰+4
- c155
- ECM
9×10¹⁶¹+4
- c148
- ECM
9×10¹⁶²+4
- c120
- ECM
9×10¹⁶³+4
- c130
- ECM
9×10¹⁶⁵+4
- c159
- ECM
9×10¹⁶⁷+4
- c130
- ECM
9×10¹⁷²+4
- c173
- ECM
9×10¹⁷³+4
- c119
- ECM
9×10¹⁷⁵+4
- c156
- ECM
9×10¹⁷⁶+4
- c134
- ECM
9×10¹⁷⁹+4
- c148
- ECM
9×10¹⁸⁰+4
- c180
- ECM
9×10¹⁸²+4
- c136
- ECM
9×10¹⁸⁵+4
- c136
- c99
- ECM
9×10¹⁹⁰+4
- c139
- ECM
9×10¹⁹¹+4
- c188
- ECM
9×10¹⁹²+4
- c147
- ECM
9×10¹⁹³+4
- c158
- c111
- ECM
9×10¹⁹⁴+4
- c169
- ECM
9×10¹⁹⁵+4
- c176
- ECM
9×10¹⁹⁶+4
- c139
- ECM
9×10¹⁹⁷+4
- c177
- ECM
9×10¹⁹⁹+4
- c200
- ECM
9×10²⁰⁰+4
- c192
- ECM
9×10²⁰¹+4
- c188
- ECM
9×10²⁰²+4
- c157
- ECM
9×10²⁰³+4
- c151
- c112
- ECM
9×10²⁰⁴+4
- c140
- c107
- ECM
9×10²⁰⁵+4
- c187
- c140
- ECM
9×10²⁰⁶+4
- c188
- c142
- ECM
9×10²⁰⁷+4
- c190
- ECM
9×10²⁰⁸+4
- c167
- c131
- ECM
9×10²⁰⁹+4
- c199
- ECM
9×10²¹⁰+4
- c154
- ECM
9×10²¹²+4
- c172
- ECM
9×10²¹⁴+4
- c214
- ECM
9×10²¹⁵+4
- c206
- ECM
9×10²¹⁶+4
- c159
- ECM
9×10²¹⁷+4
- c189
- ECM
9×10²¹⁸+4
- c205
- ECM
9×10²²⁰+4
- c204
- ECM
9×10²²²+4
- c181
- c130
- ECM
9×10²²⁴+4
- c188
- ECM
9×10²²⁶+4
- c223
- ECM
9×10²³⁰+4
- c163
- ECM
9×10²³²+4
- c206
- c167
- ECM
9×10²³³+4
- c233
- ECM
9×10²³⁵+4
- c197
- ECM
9×10²³⁶+4
- c162
- ECM
9×10²³⁷+4
- c206
- ECM
9×10²³⁸+4
- c175
- ECM
9×10²³⁹+4
- c182
- c143
- ECM
9×10²⁴⁰+4
- c216
- ECM
9×10²⁴¹+4
- c204
- ECM
9×10²⁴²+4
- c228
- ECM
9×10²⁴³+4
- c221
- ECM
9×10²⁴⁴+4
- c138
- ECM
9×10²⁴⁶+4
- c231
- ECM
9×10²⁴⁷+4
- c183
- ECM
9×10²⁴⁹+4
- c249
- ECM
9×10²⁵⁰+4
- c211
- ECM
9×10²⁵¹+4
- c241
- ECM
9×10²⁵²+4
- c212
- ECM
9×10²⁵⁵+4
- c238
- ECM
9×10²⁵⁶+4
- c202
- ECM
9×10²⁵⁷+4
- c235
- ECM
9×10²⁵⁸+4
- c202
- ECM
9×10²⁵⁹+4
- c215
- ECM
9×10²⁶⁰+4
- c261
- ECM
9×10²⁶¹+4
- c242
- ECM
9×10²⁶²+4
- c215
- ECM
9×10²⁶³+4
- c253
- ECM
9×10²⁶⁴+4
- c257
- ECM
9×10²⁶⁵+4
- c197
- ECM
9×10²⁶⁶+4
- c261
- ECM
9×10²⁶⁷+4
- c213
- ECM
9×10²⁶⁸+4
- c238
- ECM
9×10²⁶⁹+4
- c198
- ECM
9×10²⁷⁰+4
- c260
- ECM
9×10²⁷¹+4
- c248
- ECM
9×10²⁷²+4
- c240
- ECM
9×10²⁷³+4
- c236
- ECM
9×10²⁷⁴+4
- c228
- ECM
9×10²⁷⁶+4
- c259
- ECM
9×10²⁷⁷+4
- c177
- ECM
9×10²⁷⁸+4
- c260
- ECM
9×10²⁷⁹+4
- c256
- ECM
9×10²⁸¹+4
- c260
- ECM
9×10²⁸³+4
- c247
- ECM
9×10²⁸⁴+4
- c241
- ECM
9×10²⁸⁵+4
- c259
- ECM
9×10²⁸⁶+4
- c277
- ECM
9×10²⁸⁷+4
- c252
- ECM
9×10²⁸⁹+4
- c261
- ECM
9×10²⁹⁰+4
- c265
- ECM
9×10²⁹¹+4
- c279
- ECM
9×10²⁹²+4
- c277
- ECM
9×10²⁹³+4
- c269
- ECM
9×10²⁹⁴+4
- c262
- ECM
9×10²⁹⁶+4
- c286
- ECM
9×10²⁹⁷+4
- c233
- ECM
9×10²⁹⁸+4
- c260
- ECM
9×10²⁹⁹+4
- c224
- ECM
9×10³⁰⁰+4
- c300
- c263
- ECM

9×10¹²⁶+4

c126

name 名前	Bob Backstrom
date 日付	February 27, 2023 20:15:16 UTC 2023 年 2 月 28 日 (火) 5 時 15 分 16 秒 (日本時間)
composite number 合成数	173076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923077<126>
prime factors 素因数	6048095165241204383758148508022238243807008994877257<52> 28616765832589307075705707691345594073180266091978481153277441137791887261<74>
factorization results 素因数分解の結果	Number: n N=173076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923077 ( 126 digits) SNFS difficulty: 126 digits. Divisors found: Tue Feb 28 07:12:19 2023 prp52 factor: 6048095165241204383758148508022238243807008994877257 Tue Feb 28 07:12:19 2023 prp74 factor: 28616765832589307075705707691345594073180266091978481153277441137791887261 Tue Feb 28 07:12:19 2023 elapsed time 00:02:17 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.091). Factorization parameters were as follows: # # N = 9x10^126+4 = 90(125)4 # n: 173076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923077 m: 10000000000000000000000000000000 deg: 4 c4: 225 c0: 1 skew: 0.26 # Murphy_E = 2.108e-08 type: snfs lss: 1 rlim: 890000 alim: 890000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 Factor base limits: 890000/890000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved special-q in [100000, 3445000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 418608 hash collisions in 6059651 relations (6729728 unique) Msieve: matrix is 208366 x 208614 (24.5 MB) Sieving start time: 2023/02/28 06:59:51 Sieving end time : 2023/02/28 07:09:55 Total sieving time: 0hrs 10min 4secs. Total relation processing time: 0hrs 0min 49sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 12sec. Prototype def-par.txt line would be: snfs,126,4,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,75000 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)

9×10¹²⁹+4

c108

name 名前	anonymous
date 日付	March 1, 2023 11:53:59 UTC 2023 年 3 月 1 日 (水) 20 時 53 分 59 秒 (日本時間)
composite number 合成数	237255990564378162362723159216821322589616182443541548567893096657824252146613501578662452466621210827382117<108>
prime factors 素因数	953017871484236883267293427942774477687743<42> 248952299493475371327823560867854071998373304647053133766748205019<66>
factorization results 素因数分解の結果	p42 factor: 953017871484236883267293427942774477687743 p66 factor: 248952299493475371327823560867854071998373304647053133766748205019
software ソフトウェア	GGNFS+Msieve 1.54 snfs

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)

9×10¹⁴²+4

c109

name 名前	Lionel Debroux
date 日付	March 8, 2023 14:33:48 UTC 2023 年 3 月 8 日 (水) 23 時 33 分 48 秒 (日本時間)
composite number 合成数	6712751528423497350177107168231181415513561471359429847316581863164660493501526305508118009636145476875750921<109>
prime factors 素因数	33475375202099523708463973335615510597<38> 200528044507249734023062346679196700168308490548073056288922195193218293<72>
factorization results 素因数分解の結果	33475375202099523708463973335615510597 200528044507249734023062346679196700168308490548073056288922195193218293
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)

9×10¹⁴⁴+4

c117

name 名前	anonymous
date 日付	March 12, 2023 13:59:51 UTC 2023 年 3 月 12 日 (日) 22 時 59 分 51 秒 (日本時間)
composite number 合成数	332472990077365137655396141070785903063483903065049614327315348394103213073429571904510387417874440879047572825817873<117>
prime factors 素因数	9775567619271421144615909783210605930735706000663866988921<58> 34010607161259096982428140145818384457947744657018749773913<59>
factorization results 素因数分解の結果	Sun Mar 12 21:55:04 2023 Sun Mar 12 21:55:04 2023 Sun Mar 12 21:55:04 2023 Msieve v. 1.54 (SVN Unversioned directory) Sun Mar 12 21:55:04 2023 random seeds: ea62a0cc 96724308 Sun Mar 12 21:55:04 2023 factoring 332472990077365137655396141070785903063483903065049614327315348394103213073429571904510387417874440879047572825817873 (117 digits) Sun Mar 12 21:55:05 2023 searching for 15-digit factors Sun Mar 12 21:55:05 2023 commencing number field sieve (117-digit input) Sun Mar 12 21:55:05 2023 R0: -50000000000000000000000000000 Sun Mar 12 21:55:05 2023 R1: 1 Sun Mar 12 21:55:05 2023 A0: 5 Sun Mar 12 21:55:05 2023 A1: 0 Sun Mar 12 21:55:05 2023 A2: 0 Sun Mar 12 21:55:05 2023 A3: 0 Sun Mar 12 21:55:05 2023 A4: 0 Sun Mar 12 21:55:05 2023 A5: 36 Sun Mar 12 21:55:05 2023 skew 0.67, size 4.622e-010, alpha -0.024, combined = 2.947e-009 rroots = 1 Sun Mar 12 21:55:05 2023 Sun Mar 12 21:55:05 2023 commencing relation filtering Sun Mar 12 21:55:05 2023 estimated available RAM is 15734.8 MB Sun Mar 12 21:55:05 2023 commencing duplicate removal, pass 1 Sun Mar 12 21:55:50 2023 skipped 1 relations with composite factors Sun Mar 12 21:55:50 2023 found 784079 hash collisions in 4443694 relations Sun Mar 12 21:55:55 2023 added 166407 free relations Sun Mar 12 21:55:55 2023 commencing duplicate removal, pass 2 Sun Mar 12 21:55:58 2023 found 699524 duplicates and 3910577 unique relations Sun Mar 12 21:55:58 2023 memory use: 20.6 MB Sun Mar 12 21:55:58 2023 reading ideals above 100000 Sun Mar 12 21:55:58 2023 commencing singleton removal, initial pass Sun Mar 12 21:56:43 2023 reduce to 392195 relation sets and 364519 unique ideals Sun Mar 12 21:56:43 2023 commencing full merge Sun Mar 12 21:56:50 2023 memory use: 43.1 MB Sun Mar 12 21:56:50 2023 found 167537 cycles, need 164719 Sun Mar 12 21:56:50 2023 weight of 164719 cycles is about 15296781 (92.87/cycle) Sun Mar 12 21:56:50 2023 distribution of cycle lengths: Sun Mar 12 21:56:50 2023 1 relations: 3696 Sun Mar 12 21:56:50 2023 2 relations: 9599 Sun Mar 12 21:56:50 2023 3 relations: 13552 Sun Mar 12 21:56:50 2023 4 relations: 14721 Sun Mar 12 21:56:50 2023 5 relations: 15304 Sun Mar 12 21:56:50 2023 6 relations: 14471 Sun Mar 12 21:56:50 2023 7 relations: 13370 Sun Mar 12 21:56:50 2023 8 relations: 12124 Sun Mar 12 21:56:50 2023 9 relations: 10816 Sun Mar 12 21:56:50 2023 10+ relations: 57066 Sun Mar 12 21:56:50 2023 heaviest cycle: 27 relations Sun Mar 12 21:56:50 2023 commencing cycle optimization Sun Mar 12 21:56:50 2023 start with 1373870 relations Sun Mar 12 21:56:55 2023 pruned 94309 relations Sun Mar 12 21:56:55 2023 memory use: 33.2 MB Sun Mar 12 21:56:55 2023 distribution of cycle lengths: Sun Mar 12 21:56:55 2023 1 relations: 3696 Sun Mar 12 21:56:55 2023 2 relations: 9965 Sun Mar 12 21:56:55 2023 3 relations: 14478 Sun Mar 12 21:56:55 2023 4 relations: 15810 Sun Mar 12 21:56:55 2023 5 relations: 16830 Sun Mar 12 21:56:55 2023 6 relations: 15533 Sun Mar 12 21:56:55 2023 7 relations: 14464 Sun Mar 12 21:56:55 2023 8 relations: 12957 Sun Mar 12 21:56:55 2023 9 relations: 11252 Sun Mar 12 21:56:55 2023 10+ relations: 49734 Sun Mar 12 21:56:55 2023 heaviest cycle: 27 relations Sun Mar 12 21:56:56 2023 RelProcTime: 111 Sun Mar 12 21:56:56 2023 elapsed time 00:01:52 Sun Mar 12 21:57:10 2023 Sun Mar 12 21:57:10 2023 Sun Mar 12 21:57:10 2023 Msieve v. 1.54 (SVN Unversioned directory) Sun Mar 12 21:57:10 2023 random seeds: 57a18de0 f1015c41 Sun Mar 12 21:57:10 2023 factoring 332472990077365137655396141070785903063483903065049614327315348394103213073429571904510387417874440879047572825817873 (117 digits) Sun Mar 12 21:57:11 2023 searching for 15-digit factors Sun Mar 12 21:57:11 2023 commencing number field sieve (117-digit input) Sun Mar 12 21:57:11 2023 R0: -50000000000000000000000000000 Sun Mar 12 21:57:11 2023 R1: 1 Sun Mar 12 21:57:11 2023 A0: 5 Sun Mar 12 21:57:11 2023 A1: 0 Sun Mar 12 21:57:11 2023 A2: 0 Sun Mar 12 21:57:11 2023 A3: 0 Sun Mar 12 21:57:11 2023 A4: 0 Sun Mar 12 21:57:11 2023 A5: 36 Sun Mar 12 21:57:11 2023 skew 0.67, size 4.622e-010, alpha -0.024, combined = 2.947e-009 rroots = 1 Sun Mar 12 21:57:11 2023 Sun Mar 12 21:57:11 2023 commencing linear algebra Sun Mar 12 21:57:11 2023 read 164719 cycles Sun Mar 12 21:57:12 2023 cycles contain 449283 unique relations Sun Mar 12 21:57:15 2023 read 449283 relations Sun Mar 12 21:57:15 2023 using 20 quadratic characters above 4294917295 Sun Mar 12 21:57:17 2023 building initial matrix Sun Mar 12 21:57:21 2023 memory use: 58.5 MB Sun Mar 12 21:57:21 2023 read 164719 cycles Sun Mar 12 21:57:21 2023 matrix is 164542 x 164719 (59.4 MB) with weight 17839449 (108.30/col) Sun Mar 12 21:57:21 2023 sparse part has weight 13772348 (83.61/col) Sun Mar 12 21:57:22 2023 filtering completed in 2 passes Sun Mar 12 21:57:22 2023 matrix is 164524 x 164699 (59.4 MB) with weight 17838442 (108.31/col) Sun Mar 12 21:57:22 2023 sparse part has weight 13771833 (83.62/col) Sun Mar 12 21:57:22 2023 matrix starts at (0, 0) Sun Mar 12 21:57:22 2023 matrix is 164524 x 164699 (59.4 MB) with weight 17838442 (108.31/col) Sun Mar 12 21:57:22 2023 sparse part has weight 13771833 (83.62/col) Sun Mar 12 21:57:22 2023 saving the first 112 matrix rows for later Sun Mar 12 21:57:22 2023 matrix includes 128 packed rows Sun Mar 12 21:57:22 2023 matrix is 164412 x 164699 (53.0 MB) with weight 13112333 (79.61/col) Sun Mar 12 21:57:22 2023 sparse part has weight 11907351 (72.30/col) Sun Mar 12 21:57:22 2023 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Sun Mar 12 21:57:23 2023 commencing Lanczos iteration Sun Mar 12 21:57:23 2023 memory use: 58.5 MB Sun Mar 12 21:57:29 2023 linear algebra at 7.4%, ETA 0h 1m Sun Mar 12 21:58:44 2023 lanczos halted after 1294 iterations (dim = 164410) Sun Mar 12 21:58:45 2023 recovered 39 nontrivial dependencies Sun Mar 12 21:58:45 2023 BLanczosTime: 94 Sun Mar 12 21:58:45 2023 elapsed time 00:01:35 Sun Mar 12 21:58:49 2023 Sun Mar 12 21:58:49 2023 Sun Mar 12 21:58:49 2023 Msieve v. 1.54 (SVN Unversioned directory) Sun Mar 12 21:58:49 2023 random seeds: 8c0a2ca8 699a73be Sun Mar 12 21:58:49 2023 factoring 332472990077365137655396141070785903063483903065049614327315348394103213073429571904510387417874440879047572825817873 (117 digits) Sun Mar 12 21:58:49 2023 searching for 15-digit factors Sun Mar 12 21:58:50 2023 commencing number field sieve (117-digit input) Sun Mar 12 21:58:50 2023 R0: -50000000000000000000000000000 Sun Mar 12 21:58:50 2023 R1: 1 Sun Mar 12 21:58:50 2023 A0: 5 Sun Mar 12 21:58:50 2023 A1: 0 Sun Mar 12 21:58:50 2023 A2: 0 Sun Mar 12 21:58:50 2023 A3: 0 Sun Mar 12 21:58:50 2023 A4: 0 Sun Mar 12 21:58:50 2023 A5: 36 Sun Mar 12 21:58:50 2023 skew 0.67, size 4.622e-010, alpha -0.024, combined = 2.947e-009 rroots = 1 Sun Mar 12 21:58:50 2023 Sun Mar 12 21:58:50 2023 commencing square root phase Sun Mar 12 21:58:50 2023 reading relations for dependency 1 Sun Mar 12 21:58:50 2023 read 82227 cycles Sun Mar 12 21:58:50 2023 cycles contain 224384 unique relations Sun Mar 12 21:58:52 2023 read 224384 relations Sun Mar 12 21:58:52 2023 multiplying 224384 relations Sun Mar 12 21:58:56 2023 multiply complete, coefficients have about 5.57 million bits Sun Mar 12 21:58:56 2023 initial square root is modulo 2548171 Sun Mar 12 21:58:59 2023 sqrtTime: 9 Sun Mar 12 21:58:59 2023 p58 factor: 9775567619271421144615909783210605930735706000663866988921 Sun Mar 12 21:58:59 2023 p59 factor: 34010607161259096982428140145818384457947744657018749773913 Sun Mar 12 21:58:59 2023 elapsed time 00:00:10

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)

9×10¹⁴⁵+4

c132

name 名前	Bob Backstrom
date 日付	February 23, 2023 10:08:15 UTC 2023 年 2 月 23 日 (木) 19 時 8 分 15 秒 (日本時間)
composite number 合成数	368495879171920235705482926494615543533252867606806116412727121844038317812699574405027849596707319764746267499181791271947513022659<132>
prime factors 素因数	156613845930662500748303993657124889697839631767357<51> 2352894643396114965986344461784842190168223422280396464059871531155820732413861887<82>
factorization results 素因数分解の結果	Number: n N=368495879171920235705482926494615543533252867606806116412727121844038317812699574405027849596707319764746267499181791271947513022659 ( 132 digits) SNFS difficulty: 145 digits. Divisors found: Thu Feb 23 20:59:39 2023 prp51 factor: 156613845930662500748303993657124889697839631767357 Thu Feb 23 20:59:39 2023 prp82 factor: 2352894643396114965986344461784842190168223422280396464059871531155820732413861887 Thu Feb 23 20:59:39 2023 elapsed time 00:04:31 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.075). Factorization parameters were as follows: # # N = 9x10^145+4 = 90(144)4 # n: 368495879171920235705482926494615543533252867606806116412727121844038317812699574405027849596707319764746267499181791271947513022659 m: 100000000000000000000000000000 deg: 5 c5: 9 c0: 4 skew: 0.85 # Murphy_E = 2.818e-09 type: snfs lss: 1 rlim: 1900000 alim: 1900000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1900000/1900000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 12150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 703139 hash collisions in 7794628 relations (7626870 unique) Msieve: matrix is 298352 x 298600 (80.6 MB) Sieving start time: 2023/02/23 20:22:10 Sieving end time : 2023/02/23 20:55:01 Total sieving time: 0hrs 32min 51secs. Total relation processing time: 0hrs 2min 20sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 26sec. Prototype def-par.txt line would be: snfs,145,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000 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)

9×10¹⁴⁸+4

c112

name 名前	Lionel Debroux
date 日付	March 13, 2023 09:07:13 UTC 2023 年 3 月 13 日 (月) 18 時 7 分 13 秒 (日本時間)
composite number 合成数	6637552056229843676446266741974151873634401265339131866724708102558011568583497170634258985044234768583020032389<112>
prime factors 素因数	47064747874401076097207485215500559253<38> 141030226570916482364261101673364196183034184625876004695251862005143345713<75>
factorization results 素因数分解の結果	47064747874401076097207485215500559253 141030226570916482364261101673364196183034184625876004695251862005143345713
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)

9×10¹⁴⁹+4

c138

name 名前	Bob Backstrom
date 日付	February 25, 2023 02:22:28 UTC 2023 年 2 月 25 日 (土) 11 時 22 分 28 秒 (日本時間)
composite number 合成数	161544387818204081365035859032490316944796970822254351319326202840843427448177513720585588120388794666161072028049205886904515521180551623<138>
prime factors 素因数	1923131236809905340094237564419808647635197723872520672882960001<64> 84000709221578811896941137198462108831453369281907692197543957880936471623<74>
factorization results 素因数分解の結果	Number: n N=161544387818204081365035859032490316944796970822254351319326202840843427448177513720585588120388794666161072028049205886904515521180551623 ( 138 digits) SNFS difficulty: 150 digits. Divisors found: Sat Feb 25 12:41:53 2023 prp64 factor: 1923131236809905340094237564419808647635197723872520672882960001 Sat Feb 25 12:41:53 2023 prp74 factor: 84000709221578811896941137198462108831453369281907692197543957880936471623 Sat Feb 25 12:41:53 2023 elapsed time 00:07:12 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.091). Factorization parameters were as follows: # # N = 9x10^149+4 = 90(148)4 # n: 161544387818204081365035859032490316944796970822254351319326202840843427448177513720585588120388794666161072028049205886904515521180551623 m: 500000000000000000000000000000 deg: 5 c5: 36 c0: 5 skew: 0.67 # Murphy_E = 1.91e-09 type: snfs lss: 1 rlim: 2200000 alim: 2200000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4 Factor base limits: 2200000/2200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved special-q in [100000, 12300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 879466 hash collisions in 14711887 relations (14528114 unique) Msieve: matrix is 466167 x 466404 (55.8 MB) Sieving start time: 2023/02/25 11:38:36 Sieving end time : 2023/02/25 12:34:32 Total sieving time: 0hrs 55min 56secs. Total relation processing time: 0hrs 4min 4sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 13sec. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000 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)

9×10¹⁵¹+4

c149

name 名前	Bob Backstrom
date 日付	February 26, 2023 08:59:30 UTC 2023 年 2 月 26 日 (日) 17 時 59 分 30 秒 (日本時間)
composite number 合成数	40394973070017953321364452423698384201077199281867145421903052064631956912028725314183123877917414721723518850987432675044883303411131059245960502693<149>
prime factors 素因数	14026638801913846009609188458413454469906068080463<50> 2879875474123302807016189771143751208790284582825647270642417740825809554506171257865626682141675211<100>
factorization results 素因数分解の結果	Number: n N=40394973070017953321364452423698384201077199281867145421903052064631956912028725314183123877917414721723518850987432675044883303411131059245960502693 ( 149 digits) SNFS difficulty: 151 digits. Divisors found: Sun Feb 26 19:29:37 2023 prp50 factor: 14026638801913846009609188458413454469906068080463 Sun Feb 26 19:29:37 2023 prp100 factor: 2879875474123302807016189771143751208790284582825647270642417740825809554506171257865626682141675211 Sun Feb 26 19:29:37 2023 elapsed time 00:06:35 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.091). Factorization parameters were as follows: # # N = 9x10^151+4 = 90(150)4 # n: 40394973070017953321364452423698384201077199281867145421903052064631956912028725314183123877917414721723518850987432675044883303411131059245960502693 m: 1000000000000000000000000000000 deg: 5 c5: 45 c0: 2 skew: 0.54 # Murphy_E = 1.31e-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, 12400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1068408 hash collisions in 13245713 relations (13050205 unique) Msieve: matrix is 381114 x 381362 (91.4 MB) Sieving start time: 2023/02/26 18:07:49 Sieving end time : 2023/02/26 19:22:53 Total sieving time: 1hrs 15min 4secs. Total relation processing time: 0hrs 3min 32sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 18sec. 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)

9×10¹⁵⁴+4

c149

name 名前	Bob Backstrom
date 日付	March 1, 2023 08:08:50 UTC 2023 年 3 月 1 日 (水) 17 時 8 分 50 秒 (日本時間)
composite number 合成数	25079222477225279410404199042085164581004216653272504143644869292665609252338219508959970217030018157357073511102293132640106469659156647052856969293<149>
prime factors 素因数	37195786787543713754905051197960169773787489203639815035249<59> 674249011601064400642800815792914325405849146118655672280184304433908314500248997562764957<90>
factorization results 素因数分解の結果	Number: n N=25079222477225279410404199042085164581004216653272504143644869292665609252338219508959970217030018157357073511102293132640106469659156647052856969293 ( 149 digits) SNFS difficulty: 155 digits. Divisors found: Wed Mar 1 19:05:15 2023 prp59 factor: 37195786787543713754905051197960169773787489203639815035249 Wed Mar 1 19:05:15 2023 prp90 factor: 674249011601064400642800815792914325405849146118655672280184304433908314500248997562764957 Wed Mar 1 19:05:15 2023 elapsed time 00:06:36 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.089). Factorization parameters were as follows: # # N = 9x10^154+4 = 90(153)4 # n: 25079222477225279410404199042085164581004216653272504143644869292665609252338219508959970217030018157357073511102293132640106469659156647052856969293 m: 5000000000000000000000000000000 deg: 5 c5: 36 c0: 5 skew: 0.67 # Murphy_E = 1.231e-09 type: snfs lss: 1 rlim: 2700000 alim: 2700000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2700000/2700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 12550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 765045 hash collisions in 11582733 relations (11600424 unique) Msieve: matrix is 397123 x 397354 (109.9 MB) Sieving start time: 2023/03/01 17:39:31 Sieving end time : 2023/03/01 18:58:26 Total sieving time: 1hrs 18min 55secs. Total relation processing time: 0hrs 4min 7sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 20sec. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000 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)

9×10¹⁵⁵+4

c148

name 名前	Bob Backstrom
date 日付	March 1, 2023 11:01:43 UTC 2023 年 3 月 1 日 (水) 20 時 1 分 43 秒 (日本時間)
composite number 合成数	3625892293820201605735265610550063814898617392477105028289131101000905812355303732053585660198681815719873939488949980429044905644694044065807463411<148>
prime factors 素因数	1423205227933644117630166460631095519260151728296887978663<58> 2547694613997902015756204671053304810191320108109760711992307912025074174438149020372963797<91>
factorization results 素因数分解の結果	Number: n N=3625892293820201605735265610550063814898617392477105028289131101000905812355303732053585660198681815719873939488949980429044905644694044065807463411 ( 148 digits) SNFS difficulty: 155 digits. Divisors found: Wed Mar 1 21:49:56 2023 prp58 factor: 1423205227933644117630166460631095519260151728296887978663 Wed Mar 1 21:49:56 2023 prp91 factor: 2547694613997902015756204671053304810191320108109760711992307912025074174438149020372963797 Wed Mar 1 21:49:56 2023 elapsed time 00:07:29 (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 = 9x10^155+4 = 90(154)4 # n: 3625892293820201605735265610550063814898617392477105028289131101000905812355303732053585660198681815719873939488949980429044905644694044065807463411 m: 10000000000000000000000000000000 deg: 5 c5: 9 c0: 4 skew: 0.85 # Murphy_E = 1.174e-09 type: snfs lss: 1 rlim: 2800000 alim: 2800000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 19800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 748164 hash collisions in 11939882 relations (12010346 unique) Msieve: matrix is 418944 x 419190 (116.8 MB) Sieving start time: 2023/03/01 19:07:06 Sieving end time : 2023/03/01 21:41:50 Total sieving time: 2hrs 34min 44secs. Total relation processing time: 0hrs 4min 36sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 39sec. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000 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)

9×10¹⁶⁰+4

c155

name 名前	Bob Backstrom
date 日付	March 3, 2023 10:36:21 UTC 2023 年 3 月 3 日 (金) 19 時 36 分 21 秒 (日本時間)
composite number 合成数	36985105686994228679730353922804687410105645899666805292322056437627495878215443993865403803383890602988725296004129181577143533441932562180181572212186017<155>
prime factors 素因数	7309774440969064798806869407799213125141<40> 222226522976809869428540592556419796554253<42> 22768110829493977268783096382699548471110806950276671843176332087353008529<74>
factorization results 素因数分解の結果	Number: n N=36985105686994228679730353922804687410105645899666805292322056437627495878215443993865403803383890602988725296004129181577143533441932562180181572212186017 ( 155 digits) SNFS difficulty: 160 digits. Divisors found: Fri Mar 3 21:31:58 2023 prp40 factor: 7309774440969064798806869407799213125141 Fri Mar 3 21:31:58 2023 prp42 factor: 222226522976809869428540592556419796554253 Fri Mar 3 21:31:58 2023 prp74 factor: 22768110829493977268783096382699548471110806950276671843176332087353008529 Fri Mar 3 21:31:58 2023 elapsed time 00:10:31 (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 = 9x10^160+4 = 90(159)4 # n: 36985105686994228679730353922804687410105645899666805292322056437627495878215443993865403803383890602988725296004129181577143533441932562180181572212186017 m: 100000000000000000000000000000000 deg: 5 c5: 9 c0: 4 skew: 0.85 # Murphy_E = 7.52e-10 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 20100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 796250 hash collisions in 11898785 relations (11912704 unique) Msieve: matrix is 523050 x 523277 (146.5 MB) Sieving start time: 2023/03/03 19:03:27 Sieving end time : 2023/03/03 21:21:04 Total sieving time: 2hrs 17min 37secs. Total relation processing time: 0hrs 7min 16sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 56sec. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000 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)

9×10¹⁶¹+4

c148

name 名前	Bob Backstrom
date 日付	March 3, 2023 01:13:52 UTC 2023 年 3 月 3 日 (金) 10 時 13 分 52 秒 (日本時間)
composite number 合成数	1946310121254654752067927694663276569210124663706104185051057845245673345349193574634556884057902506749040631305341777891075815402445547399380814739<148>
prime factors 素因数	737974197258433883197265069167565911587527<42> 2637368797561182606349161562028320439531429502987196139334769331773204933356786643850922040498966633299157<106>
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 1946310121254654752067927694663276569210124663706104185051057845245673345349193574634556884057902506749040631305341777891075815402445547399380814739 (148 digits) Using B1=30870000, B2=144289975846, polynomial Dickson(12), sigma=1:4149423734 Step 1 took 61735ms Step 2 took 23305ms ********** Factor found in step 2: 737974197258433883197265069167565911587527 Found prime factor of 42 digits: 737974197258433883197265069167565911587527 Prime cofactor 2637368797561182606349161562028320439531429502987196139334769331773204933356786643850922040498966633299157 has 106 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)

9×10¹⁶²+4

c120

name 名前	Bob Backstrom
date 日付	March 7, 2023 20:45:06 UTC 2023 年 3 月 8 日 (水) 5 時 45 分 6 秒 (日本時間)
composite number 合成数	558151092941249157884028151879271199652600718947874570200405471528749113158657211059722516771638153588997043943112515069<120>
prime factors 素因数	175239046975603128571472734133248171234355557<45> 3185084047044351045054601751171974908750952749635129365224339667623984325817<76>
factorization results 素因数分解の結果	Number: n N=558151092941249157884028151879271199652600718947874570200405471528749113158657211059722516771638153588997043943112515069 ( 120 digits) SNFS difficulty: 162 digits. Divisors found: Wed Mar 8 07:37:05 2023 prp45 factor: 175239046975603128571472734133248171234355557 Wed Mar 8 07:37:05 2023 prp76 factor: 3185084047044351045054601751171974908750952749635129365224339667623984325817 Wed Mar 8 07:37:05 2023 elapsed time 00:09:06 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.066). Factorization parameters were as follows: # # N = 9x10^162+4 = 90(161)4 # n: 558151092941249157884028151879271199652600718947874570200405471528749113158657211059722516771638153588997043943112515069 m: 100000000000000000000000000000000 deg: 5 c5: 225 c0: 1 skew: 0.34 # Murphy_E = 5.521e-10 type: snfs lss: 1 rlim: 3600000 alim: 3600000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 5800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1267818 hash collisions in 13221483 relations (12785194 unique) Msieve: matrix is 474370 x 474604 (133.1 MB) Sieving start time: 2023/03/08 06:46:11 Sieving end time : 2023/03/08 07:27:47 Total sieving time: 0hrs 41min 36secs. Total relation processing time: 0hrs 5min 57sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 30sec. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000 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)

9×10¹⁶³+4

c130

name 名前	Bob Backstrom
date 日付	March 6, 2023 06:23:42 UTC 2023 年 3 月 6 日 (月) 15 時 23 分 42 秒 (日本時間)
composite number 合成数	3207239782739657752380226906061822604707716841600502379933238977303501720321108247360689034787288165134190540802361197868647659463<130>
prime factors 素因数	5691162175592762557062303224146632223872997775722765167113491<61> 563547423845044081949037936667640014833131960661373330054961979632893<69>
factorization results 素因数分解の結果	Number: n N=3207239782739657752380226906061822604707716841600502379933238977303501720321108247360689034787288165134190540802361197868647659463 ( 130 digits) SNFS difficulty: 163 digits. Divisors found: Mon Mar 6 16:56:36 2023 prp61 factor: 5691162175592762557062303224146632223872997775722765167113491 Mon Mar 6 16:56:36 2023 prp69 factor: 563547423845044081949037936667640014833131960661373330054961979632893 Mon Mar 6 16:56:36 2023 elapsed time 00:11:47 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.092). Factorization parameters were as follows: # # N = 9x10^163+4 = 90(162)4 # n: 3207239782739657752380226906061822604707716841600502379933238977303501720321108247360689034787288165134190540802361197868647659463 m: 100000000000000000000000000000000 deg: 5 c5: 2250 c0: 1 skew: 0.21 # Murphy_E = 3.926e-10 type: snfs lss: 1 rlim: 3700000 alim: 3700000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3700000/3700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 13050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1386132 hash collisions in 12960883 relations (12349643 unique) Msieve: matrix is 569565 x 569790 (159.8 MB) Sieving start time: 2023/03/06 15:08:48 Sieving end time : 2023/03/06 16:44:19 Total sieving time: 1hrs 35min 31secs. Total relation processing time: 0hrs 8min 41sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 40sec. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000 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)

9×10¹⁶⁵+4

c159

name 名前	Bob Backstrom
date 日付	March 8, 2023 04:52:33 UTC 2023 年 3 月 8 日 (水) 13 時 52 分 33 秒 (日本時間)
composite number 合成数	113237396262592187193394022202884070925664380160385421847801792885178639038486673292144782214541986690227426489931106871391155635943482158642975121844696571841<159>
prime factors 素因数	30217420194588346042259140099168843756761098451528863<53> 3747421041683496631024176334850598771213942159299263772738894958342812923908698407801289930752805173704607<106>
factorization results 素因数分解の結果	Number: n N=113237396262592187193394022202884070925664380160385421847801792885178639038486673292144782214541986690227426489931106871391155635943482158642975121844696571841 ( 159 digits) SNFS difficulty: 165 digits. Divisors found: Wed Mar 8 15:45:50 2023 prp53 factor: 30217420194588346042259140099168843756761098451528863 Wed Mar 8 15:45:50 2023 prp106 factor: 3747421041683496631024176334850598771213942159299263772738894958342812923908698407801289930752805173704607 Wed Mar 8 15:45:50 2023 elapsed time 00:11:05 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.095). Factorization parameters were as follows: # # N = 9x10^165+4 = 90(164)4 # n: 113237396262592187193394022202884070925664380160385421847801792885178639038486673292144782214541986690227426489931106871391155635943482158642975121844696571841 m: 1000000000000000000000000000000000 deg: 5 c5: 9 c0: 4 skew: 0.85 # Murphy_E = 4.794e-10 type: snfs lss: 1 rlim: 4100000 alim: 4100000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4100000/4100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 13250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2183024 hash collisions in 17581915 relations (16477512 unique) Msieve: matrix is 501562 x 501790 (139.2 MB) Sieving start time: 2023/03/08 14:32:26 Sieving end time : 2023/03/08 15:34:27 Total sieving time: 1hrs 2min 1secs. Total relation processing time: 0hrs 6min 35sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 1sec. Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000 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)

9×10¹⁶⁷+4

c130

name 名前	anonymous
date 日付	February 20, 2023 21:23:42 UTC 2023 年 2 月 21 日 (火) 6 時 23 分 42 秒 (日本時間)
composite number 合成数	6828675836721356345669914679632031188254357639510082550810733222628319061967116149374216069395922711605646483660071795722396086117<130>
prime factors 素因数	2248303407987849117400907608467320723539<40> 3037257254719360235918501655095107438488032667937289301700848611055733659199598012693414503<91>
factorization results 素因数分解の結果	p40:2248303407987849117400907608467320723539 p91:3037257254719360235918501655095107438488032667937289301700848611055733659199598012693414503
software ソフトウェア	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)

9×10¹⁷²+4

c173

name 名前	Bob Backstrom
date 日付	March 11, 2023 02:27:31 UTC 2023 年 3 月 11 日 (土) 11 時 27 分 31 秒 (日本時間)
composite number 合成数	22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<173>
prime factors 素因数	303544332567516278887133680479815833<36> 74124263199660977275892276879586811986778162876007128824881002498030773844912634899272669380758057037902659351066962291472058356787907497<137>
factorization results 素因数分解の結果	Number: n N=22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 ( 173 digits) SNFS difficulty: 172 digits. Divisors found: Sat Mar 11 13:17:09 2023 prp36 factor: 303544332567516278887133680479815833 Sat Mar 11 13:17:09 2023 prp137 factor: 74124263199660977275892276879586811986778162876007128824881002498030773844912634899272669380758057037902659351066962291472058356787907497 Sat Mar 11 13:17:09 2023 elapsed time 00:21:14 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.005). Factorization parameters were as follows: # # N = 9x10^172+4 = 90(171)4 # n: 22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 m: 10000000000000000000000000000000000 deg: 5 c5: 225 c0: 1 skew: 0.34 # Murphy_E = 2.229e-10 type: snfs lss: 1 rlim: 5200000 alim: 5200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5200000/5200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 13800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1587939 hash collisions in 13823140 relations (13045635 unique) Msieve: matrix is 758987 x 759215 (213.0 MB) Sieving start time: 2023/03/11 11:36:40 Sieving end time : 2023/03/11 12:55:43 Total sieving time: 1hrs 19min 3secs. Total relation processing time: 0hrs 16min 35sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 30sec. Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000 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)

9×10¹⁷³+4

c119

name 名前	Rytis Slatkevičius
date 日付	February 21, 2023 21:03:06 UTC 2023 年 2 月 22 日 (水) 6 時 3 分 6 秒 (日本時間)
composite number 合成数	70296351386985633478889649229437167934414148660261866405259146380023966391478039122534719239181561141448647772752231343<119>
prime factors 素因数	4071968860136795497332281164124536790087<40> 17263479609376007654449342547532964774667684633762760555057255509723066690412889<80>
factorization results 素因数分解の結果	P40 = 4071968860136795497332281164124536790087 P80 = 17263479609376007654449342547532964774667684633762760555057255509723066690412889
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)

9×10¹⁷⁵+4

c156

name 名前	Bob Backstrom
date 日付	March 12, 2023 19:45:43 UTC 2023 年 3 月 13 日 (月) 4 時 45 分 43 秒 (日本時間)
composite number 合成数	246126249718939079279987014943070297020368983768031319224979490163541419509857211104884253717630480306149547836348592066082739834808324684782319457523314413<156>
prime factors 素因数	8917882961848779379842693583063957888877<40> 27599179174236918435860914336375617690420510423611360357976718699035039630566647775736411225647842645206943914384769<116>
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 246126249718939079279987014943070297020368983768031319224979490163541419509857211104884253717630480306149547836348592066082739834808324684782319457523314413 (156 digits) Using B1=30000000, B2=144289285156, polynomial Dickson(12), sigma=1:3274198432 Step 1 took 73279ms Step 2 took 25670ms ********** Factor found in step 2: 8917882961848779379842693583063957888877 Found prime factor of 40 digits: 8917882961848779379842693583063957888877 Prime cofactor 27599179174236918435860914336375617690420510423611360357976718699035039630566647775736411225647842645206943914384769 has 116 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)

9×10¹⁷⁶+4

c134

name 名前	Ignacio Santos
date 日付	April 18, 2023 09:57:59 UTC 2023 年 4 月 18 日 (火) 18 時 57 分 59 秒 (日本時間)
composite number 合成数	46821622555941305525226266862868137320015307284698782813148020900410594059321713850142056489153938480298730252489163197051542249040917<134>
prime factors 素因数	266984196735008261345740756463808421426980411300505537<54> 175372262210761134301093130824553775560877986849886767010809740111141972003174741<81>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=3100000, q1=3200000. -> client 1 q0: 3100000 LatSieveTime: 96 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 -> makeJobFile(): Adjusted to q0=3200001, q1=3300000. -> client 1 q0: 3200001 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 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: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 118 -> makeJobFile(): Adjusted to q0=3300001, q1=3400000. -> client 1 q0: 3300001 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 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: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 -> makeJobFile(): Adjusted to q0=3400001, q1=3500000. -> client 1 q0: 3400001 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 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: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 118 -> makeJobFile(): Adjusted to q0=3500001, q1=3600000. -> client 1 q0: 3500001 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 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: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 -> makeJobFile(): Adjusted to q0=3600001, q1=3700000. -> client 1 q0: 3600001 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 126 -> makeJobFile(): Adjusted to q0=3700001, q1=3800000. -> client 1 q0: 3700001 LatSieveTime: 93 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 -> makeJobFile(): Adjusted to q0=3800001, q1=3900000. -> client 1 q0: 3800001 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 126 -> makeJobFile(): Adjusted to q0=3900001, q1=4000000. -> client 1 q0: 3900001 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 122 -> makeJobFile(): Adjusted to q0=4000001, q1=4100000. -> client 1 q0: 4000001 LatSieveTime: 99 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 122 -> makeJobFile(): Adjusted to q0=4100001, q1=4200000. -> client 1 q0: 4100001 LatSieveTime: 100 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 124 -> makeJobFile(): Adjusted to q0=4200001, q1=4300000. -> client 1 q0: 4200001 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 103 LatSieveTime: 103 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: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 -> makeJobFile(): Adjusted to q0=4300001, q1=4400000. -> client 1 q0: 4300001 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 125 -> makeJobFile(): Adjusted to q0=4400001, q1=4500000. -> client 1 q0: 4400001 LatSieveTime: 105 LatSieveTime: 106 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: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 125 -> makeJobFile(): Adjusted to q0=4500001, q1=4600000. -> client 1 q0: 4500001 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 -> makeJobFile(): Adjusted to q0=4600001, q1=4700000. -> client 1 q0: 4600001 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 126 -> makeJobFile(): Adjusted to q0=4700001, q1=4800000. -> client 1 q0: 4700001 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 123 -> makeJobFile(): Adjusted to q0=4800001, q1=4900000. -> client 1 q0: 4800001 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 104 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: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 126 -> makeJobFile(): Adjusted to q0=4900001, q1=5000000. -> client 1 q0: 4900001 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 124 -> makeJobFile(): Adjusted to q0=5000001, q1=5100000. -> client 1 q0: 5000001 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 126 LatSieveTime: 128 LatSieveTime: 129 -> makeJobFile(): Adjusted to q0=5100001, q1=5200000. -> client 1 q0: 5100001 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 121 LatSieveTime: 124 -> makeJobFile(): Adjusted to q0=5200001, q1=5300000. -> client 1 q0: 5200001 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 125 -> makeJobFile(): Adjusted to q0=5300001, q1=5400000. -> client 1 q0: 5300001 LatSieveTime: 98 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 107 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 -> makeJobFile(): Adjusted to q0=5400001, q1=5500000. -> client 1 q0: 5400001 LatSieveTime: 103 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 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: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 -> makeJobFile(): Adjusted to q0=5500001, q1=5600000. -> client 1 q0: 5500001 LatSieveTime: 105 LatSieveTime: 105 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: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 128 -> makeJobFile(): Adjusted to q0=5600001, q1=5700000. -> client 1 q0: 5600001 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 -> makeJobFile(): Adjusted to q0=5700001, q1=5800000. -> client 1 q0: 5700001 LatSieveTime: 101 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 123 -> makeJobFile(): Adjusted to q0=5800001, q1=5900000. -> client 1 q0: 5800001 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 126 LatSieveTime: 130 -> makeJobFile(): Adjusted to q0=5900001, q1=6000000. -> client 1 q0: 5900001 LatSieveTime: 101 LatSieveTime: 104 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 -> makeJobFile(): Adjusted to q0=6000001, q1=6100000. -> client 1 q0: 6000001 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 128 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 129 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 130 LatSieveTime: 131 LatSieveTime: 131 LatSieveTime: 133 LatSieveTime: 134 LatSieveTime: 135 -> makeJobFile(): Adjusted to q0=6100001, q1=6200000. -> client 1 q0: 6100001 LatSieveTime: 108 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 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 125 -> makeJobFile(): Adjusted to q0=6200001, q1=6300000. -> client 1 q0: 6200001 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 109 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 -> makeJobFile(): Adjusted to q0=6300001, q1=6400000. -> client 1 q0: 6300001 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 -> makeJobFile(): Adjusted to q0=6400001, q1=6500000. -> client 1 q0: 6400001 LatSieveTime: 105 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 126 LatSieveTime: 126 -> makeJobFile(): Adjusted to q0=6500001, q1=6600000. -> client 1 q0: 6500001 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 126 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 127 LatSieveTime: 131 LatSieveTime: 131 LatSieveTime: 132 -> makeJobFile(): Adjusted to q0=6600001, q1=6700000. -> client 1 q0: 6600001 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 125 -> makeJobFile(): Adjusted to q0=6700001, q1=6800000. -> client 1 q0: 6700001 LatSieveTime: 95 LatSieveTime: 100 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 125 -> makeJobFile(): Adjusted to q0=6800001, q1=6900000. -> client 1 q0: 6800001 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 126 LatSieveTime: 128 Tue Apr 18 11:32:02 2023 Tue Apr 18 11:32:02 2023 Tue Apr 18 11:32:02 2023 Msieve v. 1.52 (SVN 927) Tue Apr 18 11:32:02 2023 random seeds: adf00714 177d71f5 Tue Apr 18 11:32:02 2023 factoring 46821622555941305525226266862868137320015307284698782813148020900410594059321713850142056489153938480298730252489163197051542249040917 (134 digits) Tue Apr 18 11:32:03 2023 searching for 15-digit factors Tue Apr 18 11:32:03 2023 commencing number field sieve (134-digit input) Tue Apr 18 11:32:03 2023 R0: -100000000000000000000000000000000000 Tue Apr 18 11:32:03 2023 R1: 1 Tue Apr 18 11:32:03 2023 A0: 2 Tue Apr 18 11:32:03 2023 A1: 0 Tue Apr 18 11:32:03 2023 A2: 0 Tue Apr 18 11:32:03 2023 A3: 0 Tue Apr 18 11:32:03 2023 A4: 0 Tue Apr 18 11:32:03 2023 A5: 45 Tue Apr 18 11:32:03 2023 skew 0.54, size 2.357e-012, alpha 1.535, combined = 1.377e-010 rroots = 1 Tue Apr 18 11:32:03 2023 Tue Apr 18 11:32:03 2023 commencing relation filtering Tue Apr 18 11:32:03 2023 estimated available RAM is 65413.5 MB Tue Apr 18 11:32:03 2023 commencing duplicate removal, pass 1 Tue Apr 18 11:32:32 2023 skipped 1 relations with b > 2^32 Tue Apr 18 11:32:32 2023 found 2212379 hash collisions in 17231586 relations Tue Apr 18 11:32:46 2023 added 693128 free relations Tue Apr 18 11:32:46 2023 commencing duplicate removal, pass 2 Tue Apr 18 11:32:52 2023 found 1565993 duplicates and 16358721 unique relations Tue Apr 18 11:32:52 2023 memory use: 82.6 MB Tue Apr 18 11:32:52 2023 reading ideals above 720000 Tue Apr 18 11:32:52 2023 commencing singleton removal, initial pass Tue Apr 18 11:33:50 2023 memory use: 376.5 MB Tue Apr 18 11:33:50 2023 reading all ideals from disk Tue Apr 18 11:33:50 2023 memory use: 495.8 MB Tue Apr 18 11:33:51 2023 commencing in-memory singleton removal Tue Apr 18 11:33:52 2023 begin with 16358721 relations and 18877527 unique ideals Tue Apr 18 11:34:00 2023 reduce to 5460482 relations and 5286876 ideals in 18 passes Tue Apr 18 11:34:00 2023 max relations containing the same ideal: 81 Tue Apr 18 11:34:02 2023 removing 303568 relations and 284121 ideals in 19447 cliques Tue Apr 18 11:34:02 2023 commencing in-memory singleton removal Tue Apr 18 11:34:02 2023 begin with 5156914 relations and 5286876 unique ideals Tue Apr 18 11:34:05 2023 reduce to 5140619 relations and 4986374 ideals in 12 passes Tue Apr 18 11:34:05 2023 max relations containing the same ideal: 77 Tue Apr 18 11:34:07 2023 removing 217950 relations and 198503 ideals in 19447 cliques Tue Apr 18 11:34:07 2023 commencing in-memory singleton removal Tue Apr 18 11:34:07 2023 begin with 4922669 relations and 4986374 unique ideals Tue Apr 18 11:34:09 2023 reduce to 4914329 relations and 4779491 ideals in 8 passes Tue Apr 18 11:34:09 2023 max relations containing the same ideal: 75 Tue Apr 18 11:34:11 2023 relations with 0 large ideals: 2909 Tue Apr 18 11:34:11 2023 relations with 1 large ideals: 1519 Tue Apr 18 11:34:11 2023 relations with 2 large ideals: 24929 Tue Apr 18 11:34:11 2023 relations with 3 large ideals: 168069 Tue Apr 18 11:34:11 2023 relations with 4 large ideals: 605912 Tue Apr 18 11:34:11 2023 relations with 5 large ideals: 1231865 Tue Apr 18 11:34:11 2023 relations with 6 large ideals: 1489439 Tue Apr 18 11:34:11 2023 relations with 7+ large ideals: 1389687 Tue Apr 18 11:34:11 2023 commencing 2-way merge Tue Apr 18 11:34:13 2023 reduce to 2746803 relation sets and 2611969 unique ideals Tue Apr 18 11:34:13 2023 ignored 4 oversize relation sets Tue Apr 18 11:34:13 2023 commencing full merge Tue Apr 18 11:34:47 2023 memory use: 297.8 MB Tue Apr 18 11:34:48 2023 found 1369727 cycles, need 1356169 Tue Apr 18 11:34:48 2023 weight of 1356169 cycles is about 95188710 (70.19/cycle) Tue Apr 18 11:34:48 2023 distribution of cycle lengths: Tue Apr 18 11:34:48 2023 1 relations: 182961 Tue Apr 18 11:34:48 2023 2 relations: 166264 Tue Apr 18 11:34:48 2023 3 relations: 161081 Tue Apr 18 11:34:48 2023 4 relations: 141580 Tue Apr 18 11:34:48 2023 5 relations: 122350 Tue Apr 18 11:34:48 2023 6 relations: 102483 Tue Apr 18 11:34:48 2023 7 relations: 86864 Tue Apr 18 11:34:48 2023 8 relations: 72201 Tue Apr 18 11:34:48 2023 9 relations: 58671 Tue Apr 18 11:34:48 2023 10+ relations: 261714 Tue Apr 18 11:34:48 2023 heaviest cycle: 26 relations Tue Apr 18 11:34:48 2023 commencing cycle optimization Tue Apr 18 11:34:49 2023 start with 8099408 relations Tue Apr 18 11:35:00 2023 pruned 153452 relations Tue Apr 18 11:35:00 2023 memory use: 277.5 MB Tue Apr 18 11:35:00 2023 distribution of cycle lengths: Tue Apr 18 11:35:00 2023 1 relations: 182961 Tue Apr 18 11:35:00 2023 2 relations: 169472 Tue Apr 18 11:35:00 2023 3 relations: 165701 Tue Apr 18 11:35:00 2023 4 relations: 144147 Tue Apr 18 11:35:00 2023 5 relations: 124207 Tue Apr 18 11:35:00 2023 6 relations: 102948 Tue Apr 18 11:35:00 2023 7 relations: 86828 Tue Apr 18 11:35:00 2023 8 relations: 71510 Tue Apr 18 11:35:00 2023 9 relations: 57978 Tue Apr 18 11:35:00 2023 10+ relations: 250417 Tue Apr 18 11:35:00 2023 heaviest cycle: 25 relations Tue Apr 18 11:35:01 2023 RelProcTime: 178 Tue Apr 18 11:35:01 2023 elapsed time 00:02:59 Tue Apr 18 11:35:01 2023 Tue Apr 18 11:35:01 2023 Tue Apr 18 11:35:01 2023 Msieve v. 1.52 (SVN 927) Tue Apr 18 11:35:01 2023 random seeds: f493b3a8 6dadd4ee Tue Apr 18 11:35:01 2023 factoring 46821622555941305525226266862868137320015307284698782813148020900410594059321713850142056489153938480298730252489163197051542249040917 (134 digits) Tue Apr 18 11:35:02 2023 searching for 15-digit factors Tue Apr 18 11:35:02 2023 commencing number field sieve (134-digit input) Tue Apr 18 11:35:02 2023 R0: -100000000000000000000000000000000000 Tue Apr 18 11:35:02 2023 R1: 1 Tue Apr 18 11:35:02 2023 A0: 2 Tue Apr 18 11:35:02 2023 A1: 0 Tue Apr 18 11:35:02 2023 A2: 0 Tue Apr 18 11:35:02 2023 A3: 0 Tue Apr 18 11:35:02 2023 A4: 0 Tue Apr 18 11:35:02 2023 A5: 45 Tue Apr 18 11:35:02 2023 skew 0.54, size 2.357e-012, alpha 1.535, combined = 1.377e-010 rroots = 1 Tue Apr 18 11:35:02 2023 Tue Apr 18 11:35:02 2023 commencing linear algebra Tue Apr 18 11:35:02 2023 read 1356169 cycles Tue Apr 18 11:35:04 2023 cycles contain 4738284 unique relations Tue Apr 18 11:35:13 2023 read 4738284 relations Tue Apr 18 11:35:17 2023 using 20 quadratic characters above 268434392 Tue Apr 18 11:35:30 2023 building initial matrix Tue Apr 18 11:35:57 2023 memory use: 576.2 MB Tue Apr 18 11:35:58 2023 read 1356169 cycles Tue Apr 18 11:35:58 2023 matrix is 1355983 x 1356169 (408.5 MB) with weight 119660295 (88.23/col) Tue Apr 18 11:35:58 2023 sparse part has weight 92168312 (67.96/col) Tue Apr 18 11:36:04 2023 filtering completed in 2 passes Tue Apr 18 11:36:05 2023 matrix is 1352203 x 1352387 (408.2 MB) with weight 119530262 (88.38/col) Tue Apr 18 11:36:05 2023 sparse part has weight 92119616 (68.12/col) Tue Apr 18 11:36:07 2023 matrix starts at (0, 0) Tue Apr 18 11:36:07 2023 matrix is 1352203 x 1352387 (408.2 MB) with weight 119530262 (88.38/col) Tue Apr 18 11:36:07 2023 sparse part has weight 92119616 (68.12/col) Tue Apr 18 11:36:07 2023 saving the first 48 matrix rows for later Tue Apr 18 11:36:07 2023 matrix includes 64 packed rows Tue Apr 18 11:36:08 2023 matrix is 1352155 x 1352387 (385.8 MB) with weight 95239459 (70.42/col) Tue Apr 18 11:36:08 2023 sparse part has weight 87602417 (64.78/col) Tue Apr 18 11:36:08 2023 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Tue Apr 18 11:36:11 2023 commencing Lanczos iteration (32 threads) Tue Apr 18 11:36:11 2023 memory use: 309.9 MB Tue Apr 18 11:36:12 2023 linear algebra at 0.1%, ETA 0h14m Tue Apr 18 11:36:13 2023 checkpointing every 3640000 dimensions Tue Apr 18 11:54:29 2023 lanczos halted after 21389 iterations (dim = 1352154) Tue Apr 18 11:54:29 2023 recovered 40 nontrivial dependencies Tue Apr 18 11:54:30 2023 BLanczosTime: 1168 Tue Apr 18 11:54:30 2023 elapsed time 00:19:29 Tue Apr 18 11:54:30 2023 Tue Apr 18 11:54:30 2023 Tue Apr 18 11:54:30 2023 Msieve v. 1.52 (SVN 927) Tue Apr 18 11:54:30 2023 random seeds: bbad3b40 e0f16435 Tue Apr 18 11:54:30 2023 factoring 46821622555941305525226266862868137320015307284698782813148020900410594059321713850142056489153938480298730252489163197051542249040917 (134 digits) Tue Apr 18 11:54:30 2023 searching for 15-digit factors Tue Apr 18 11:54:30 2023 commencing number field sieve (134-digit input) Tue Apr 18 11:54:30 2023 R0: -100000000000000000000000000000000000 Tue Apr 18 11:54:30 2023 R1: 1 Tue Apr 18 11:54:30 2023 A0: 2 Tue Apr 18 11:54:30 2023 A1: 0 Tue Apr 18 11:54:30 2023 A2: 0 Tue Apr 18 11:54:30 2023 A3: 0 Tue Apr 18 11:54:30 2023 A4: 0 Tue Apr 18 11:54:30 2023 A5: 45 Tue Apr 18 11:54:30 2023 skew 0.54, size 2.357e-012, alpha 1.535, combined = 1.377e-010 rroots = 1 Tue Apr 18 11:54:30 2023 Tue Apr 18 11:54:30 2023 commencing square root phase Tue Apr 18 11:54:30 2023 reading relations for dependency 1 Tue Apr 18 11:54:30 2023 read 676404 cycles Tue Apr 18 11:54:31 2023 cycles contain 2368274 unique relations Tue Apr 18 11:54:36 2023 read 2368274 relations Tue Apr 18 11:54:42 2023 multiplying 2368274 relations Tue Apr 18 11:55:16 2023 multiply complete, coefficients have about 64.13 million bits Tue Apr 18 11:55:17 2023 initial square root is modulo 1607609441 Tue Apr 18 11:56:01 2023 GCD is N, no factor found Tue Apr 18 11:56:01 2023 reading relations for dependency 2 Tue Apr 18 11:56:01 2023 read 676639 cycles Tue Apr 18 11:56:02 2023 cycles contain 2369782 unique relations Tue Apr 18 11:56:07 2023 read 2369782 relations Tue Apr 18 11:56:13 2023 multiplying 2369782 relations Tue Apr 18 11:56:47 2023 multiply complete, coefficients have about 64.17 million bits Tue Apr 18 11:56:48 2023 initial square root is modulo 1629893021 Tue Apr 18 11:57:33 2023 sqrtTime: 183 Tue Apr 18 11:57:33 2023 prp54 factor: 266984196735008261345740756463808421426980411300505537 Tue Apr 18 11:57:33 2023 prp81 factor: 175372262210761134301093130824553775560877986849886767010809740111141972003174741 Tue Apr 18 11:57:33 2023 elapsed time 00:03:03
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 29, 2023 15:29:01 UTC 2023 年 3 月 30 日 (木) 0 時 29 分 1 秒 (日本時間)

9×10¹⁷⁹+4

c148

name 名前	Bob Backstrom
date 日付	April 13, 2023 15:36:33 UTC 2023 年 4 月 14 日 (金) 0 時 36 分 33 秒 (日本時間)
composite number 合成数	4440091084949190348483398746336930550984448680206487821102131783756767360899567779423932521095171455929890158806342273053840958474910942381945712383<148>
prime factors 素因数	226889410655140617476200501225708799719138961264414833138571104334317<69> 19569406399921782845642430137089194810555178484606658421192477506149348794595099<80>
factorization results 素因数分解の結果	Number: n N=4440091084949190348483398746336930550984448680206487821102131783756767360899567779423932521095171455929890158806342273053840958474910942381945712383 ( 148 digits) SNFS difficulty: 180 digits. Divisors found: Fri Apr 14 01:25:27 2023 prp69 factor: 226889410655140617476200501225708799719138961264414833138571104334317 Fri Apr 14 01:25:27 2023 prp80 factor: 19569406399921782845642430137089194810555178484606658421192477506149348794595099 Fri Apr 14 01:25:27 2023 elapsed time 00:21:00 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.102). Factorization parameters were as follows: # # N = 9x10^179+4 = 90(178)4 # n: 4440091084949190348483398746336930550984448680206487821102131783756767360899567779423932521095171455929890158806342273053840958474910942381945712383 m: 500000000000000000000000000000000000 deg: 5 c5: 36 c0: 5 skew: 0.67 # Murphy_E = 1.274e-10 type: snfs lss: 1 rlim: 7000000 alim: 7000000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7000000/7000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved special-q in [100000, 14700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1702871 hash collisions in 16978201 relations (16429326 unique) Msieve: matrix is 785925 x 786150 (222.1 MB) Sieving start time: 2023/04/13 18:33:59 Sieving end time : 2023/04/14 00:11:39 Total sieving time: 5hrs 37min 40secs. Total relation processing time: 0hrs 16min 34sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 44sec. Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,53,53,2.5,2.5,100000 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 13:59:20 UTC 2023 年 3 月 31 日 (金) 22 時 59 分 20 秒 (日本時間)

9×10¹⁸⁰+4

c180

name 名前	Bob Backstrom
date 日付	March 16, 2023 10:43:22 UTC 2023 年 3 月 16 日 (木) 19 時 43 分 22 秒 (日本時間)
composite number 合成数	173076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923077<180>
prime factors 素因数	2253810736551753555978994784534437433675622476986200517<55> 76793015611294992733229420072535827253599925905172403706414282207787531716751056017560224599507198577551766131558538655463681<125>
factorization results 素因数分解の結果	Number: n N=173076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923077 ( 180 digits) SNFS difficulty: 180 digits. Divisors found: Thu Mar 16 20:42:29 2023 prp55 factor: 2253810736551753555978994784534437433675622476986200517 Thu Mar 16 20:42:29 2023 prp125 factor: 76793015611294992733229420072535827253599925905172403706414282207787531716751056017560224599507198577551766131558538655463681 Thu Mar 16 20:42:29 2023 elapsed time 00:43:54 (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 = 9x10^180+4 = 90(179)4 # n: 173076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923077 m: 1000000000000000000000000000000000000 deg: 5 c5: 9 c0: 4 skew: 0.85 # Murphy_E = 1.207e-10 type: snfs lss: 1 rlim: 7300000 alim: 7300000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7300000/7300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved special-q in [100000, 7650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 928771 hash collisions in 11878773 relations (11734501 unique) Msieve: matrix is 1171159 x 1171385 (335.6 MB) Sieving start time: 2023/03/16 17:46:53 Sieving end time : 2023/03/16 19:58:23 Total sieving time: 2hrs 11min 30secs. Total relation processing time: 0hrs 38min 26sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 40sec. Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7300000,7300000,27,27,53,53,2.5,2.5,100000 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)

9×10¹⁸²+4

c136

name 名前	Eric Jeancolas
date 日付	May 15, 2023 04:17:34 UTC 2023 年 5 月 15 日 (月) 13 時 17 分 34 秒 (日本時間)
composite number 合成数	1329048760779728296524400713467507847410008688970293919733317638714579724323410525928462871825128830371306951369152493354739368243876713<136>
prime factors 素因数	364832444136771045168834857742623328556307677<45> 3642901781732670717161910700987956452483334929115558726841670130178841079976822737084611069<91>
factorization results 素因数分解の結果	1329048760779728296524400713467507847410008688970293919733317638714579724323410525928462871825128830371306951369152493354739368243876713=3648324441367710451688348577426233285563076773642901781732670717161910700987956452483334929115558726841670130178841079976822737084611069 cado polynomial n: 1329048760779728296524400713467507847410008688970293919733317638714579724323410525928462871825128830371306951369152493354739368243876713 skew: 0.34 type: snfs c0: 1 c5: 225 Y0: 1000000000000000000000000000000000000 Y1: -1 # f(x) = 225x^5+1 # g(x) = -x+1000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 7700000 tasks.lim1 = 7700000 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: 3642901781732670717161910700987956452483334929115558726841670130178841079976822737084611069 364832444136771045168834857742623328556307677 Info:Square Root: Total cpu/real time for sqrt: 275.56/91.2595 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22416782 Info:Lattice Sieving: Average J: 1894.03 for 1021034 special-q, max bucket fill -bkmult 1.0,1s:1.212730 Info:Lattice Sieving: Total time: 170243s Info:Linear Algebra: Total cpu/real time for bwc: 20279.6/5225.25 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 12858.37, WCT time 3287.88, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35584 iterations) Info:Linear Algebra: Lingen CPU time 226.05, WCT time 57.4 Info:Linear Algebra: Mksol: CPU time 7004.89, WCT time 1809.28, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17920 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 118.99/30.8596 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 231.21/228.365 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 214.1s Info:Square Root: Total cpu/real time for sqrt: 275.56/91.2595 Info:Generate Factor Base: Total cpu/real time for makefb: 3.28/1.80603 Info:Quadratic Characters: Total cpu/real time for characters: 37.74/16.7172 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.75/90.4333 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.3s Info:Filtering - Singleton removal: Total cpu/real time for purge: 116.45/103.411 Info:Filtering - Merging: Merged matrix has 1136447 rows and total weight 194083527 (170.8 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 275.25/75.3813 Info:Filtering - Merging: Total cpu/real time for replay: 38.91/33.8084 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 345240/72154.8 Info:root: Cleaning up computation data in /tmp/cado.9hoc__ue 3642901781732670717161910700987956452483334929115558726841670130178841079976822737084611069 364832444136771045168834857742623328556307677
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 14:15:40 UTC 2023 年 3 月 28 日 (火) 23 時 15 分 40 秒 (日本時間)
45	11e6	600 / 3915	Dmitry Domanov	May 10, 2023 17:04:11 UTC 2023 年 5 月 11 日 (木) 2 時 4 分 11 秒 (日本時間)

9×10¹⁸⁵+4

c136

name 名前	Ignacio Santos
date 日付	March 28, 2023 12:50:31 UTC 2023 年 3 月 28 日 (火) 21 時 50 分 31 秒 (日本時間)
composite number 合成数	2051952560304392160659582721711488782530288693773625799147247506439856576842145001342570879164303950964417899202880224235674537633802339<136>
prime factors 素因数	6701327772997034208420416915227808929<37>
composite cofactor 合成数の残り	306200894779796393149053843182698205768167510222394658232433899976748245906208018785025735013276291<99>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3718826311 Step 1 took 3453ms ********** Factor found in step 2: 6701327772997034208420416915227808929 Found prime factor of 37 digits: 6701327772997034208420416915227808929 Composite cofactor 306200894779796393149053843182698205768167510222394658232433899976748245906208018785025735013276291 has 99 digits
software ソフトウェア	GMP-ECM

c99

name 名前	Dmitry Domanov
date 日付	March 29, 2023 15:38:18 UTC 2023 年 3 月 30 日 (木) 0 時 38 分 18 秒 (日本時間)
composite number 合成数	306200894779796393149053843182698205768167510222394658232433899976748245906208018785025735013276291<99>
prime factors 素因数	95309859354171196564763458313307590828461644809<47> 3212688559763315164989950649048183037901952042777899<52>
factorization results 素因数分解の結果	N=306200894779796393149053843182698205768167510222394658232433899976748245906208018785025735013276291 ( 99 digits) Divisors found: r1=95309859354171196564763458313307590828461644809 (pp47) r2=3212688559763315164989950649048183037901952042777899 (pp52) Version: Msieve v. 1.54 (SVN 1043M) Total time: 0.10 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 306200894779796393149053843182698205768167510222394658232433899976748245906208018785025735013276291 skew: 715219.77 c0: 1070328988871521915995726960 c1: -732628700289819114137 c2: -6650382296175832 c3: 2569510744 c4: 9240 Y0: -426660376804413263579971 Y1: 18492728056879 rlim: 1740000 alim: 1740000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 qintsize: 50000 type: gnfs Factor base limits: 1740000/1740000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [870000, 1170001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 178814 x 179041 Total sieving time: 0.00 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.04 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: gnfs,98,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1740000,1740000,26,26,52,52,2.5,2.5,100000 total time: 0.10 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
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 29, 2023 14:52:19 UTC 2023 年 3 月 29 日 (水) 23 時 52 分 19 秒 (日本時間)

9×10¹⁹⁰+4

c139

name 名前	Eric Jeancolas
date 日付	June 24, 2023 17:14:39 UTC 2023 年 6 月 25 日 (日) 2 時 14 分 39 秒 (日本時間)
composite number 合成数	2805322244520409000417485314482678504135084549806189666094413156559075970446649722295890820053857506589147167458803343075900015034115381713<139>
prime factors 素因数	157524245003928742122960417325155889148755228817<48> 17808828377183732613423862295718096849712387464252275660286450087369873108178276427293601089<92>
factorization results 素因数分解の結果	2805322244520409000417485314482678504135084549806189666094413156559075970446649722295890820053857506589147167458803343075900015034115381713=15752424500392874212296041732515588914875522881717808828377183732613423862295718096849712387464252275660286450087369873108178276427293601089 cado polynomial n: 2805322244520409000417485314482678504135084549806189666094413156559075970446649722295890820053857506589147167458803343075900015034115381713 skew: 0.85 type: snfs c0: 4 c5: 9 Y0: 100000000000000000000000000000000000000 Y1: -1 # f(x) = 9x^5+4 # g(x) = -x+100000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 10700000 tasks.lim1 = 10700000 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: 17808828377183732613423862295718096849712387464252275660286450087369873108178276427293601089 157524245003928742122960417325155889148755228817 Info:Square Root: Total cpu/real time for sqrt: 459.36/153.164 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24234213 Info:Lattice Sieving: Average J: 1894.02 for 1584156 special-q, max bucket fill -bkmult 1.0,1s:1.141430 Info:Lattice Sieving: Total time: 316711s Info:Linear Algebra: Total cpu/real time for bwc: 55778.9/14359.5 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 35732.98, WCT time 9142.98, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (57344 iterations) Info:Linear Algebra: Lingen CPU time 370.01, WCT time 94.1 Info:Linear Algebra: Mksol: CPU time 19335.95, WCT time 4990.97, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28672 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 4.5/2.2692 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 407.92/414.935 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 342.49999999999994s Info:Generate Free Relations: Total cpu/real time for freerel: 119.07/31.431 Info:Square Root: Total cpu/real time for sqrt: 459.36/153.164 Info:Quadratic Characters: Total cpu/real time for characters: 64.09/27.5742 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.84/97.2646 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 96.70000000000002s Info:Filtering - Singleton removal: Total cpu/real time for purge: 289.58/283.553 Info:Filtering - Merging: Merged matrix has 1830109 rows and total weight 312192186 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 484.03/132.629 Info:Filtering - Merging: Total cpu/real time for replay: 68.11/59.7787 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 653137/173826 Info:root: Cleaning up computation data in /tmp/cado._4q4jss4 17808828377183732613423862295718096849712387464252275660286450087369873108178276427293601089 157524245003928742122960417325155889148755228817
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	3350	1000	Dmitry Domanov	February 26, 2023 05:58:25 UTC 2023 年 2 月 26 日 (日) 14 時 58 分 25 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	April 2, 2023 07:30:45 UTC 2023 年 4 月 2 日 (日) 16 時 30 分 45 秒 (日本時間)
45	11e6	1640 / 3694	640	Dmitry Domanov	April 2, 2023 21:04:03 UTC 2023 年 4 月 3 日 (月) 6 時 4 分 3 秒 (日本時間)
45	11e6	1640 / 3694	1000	Dmitry Domanov	April 27, 2023 17:57:43 UTC 2023 年 4 月 28 日 (金) 2 時 57 分 43 秒 (日本時間)

9×10¹⁹¹+4

c188

name 名前	Bob Backstrom
date 日付	April 3, 2023 23:52:39 UTC 2023 年 4 月 4 日 (火) 8 時 52 分 39 秒 (日本時間)
composite number 合成数	36237719439523272668706716057336124979867933644709292961829602190368819455628925752939281687872443227572878080206152359478176840070864873570623288774359800289901755516186181349653728458689<188>
prime factors 素因数	120179897224856435240092186730088405206695435386732147505292806997404743329047<78> 301528960136507236070936541084722754401604512601317637212162002901317954545724602258240864556650185616962502887<111>
factorization results 素因数分解の結果	Number: n N=36237719439523272668706716057336124979867933644709292961829602190368819455628925752939281687872443227572878080206152359478176840070864873570623288774359800289901755516186181349653728458689 ( 188 digits) SNFS difficulty: 191 digits. Divisors found: Mon Apr 3 07:10:31 2023 prp78 factor: 120179897224856435240092186730088405206695435386732147505292806997404743329047 Mon Apr 3 07:10:31 2023 prp111 factor: 301528960136507236070936541084722754401604512601317637212162002901317954545724602258240864556650185616962502887 Mon Apr 3 07:10:31 2023 elapsed time 01:47:59 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.093). Factorization parameters were as follows: # # N = 9x10^191+4 = 90(190)4 # n: 36237719439523272668706716057336124979867933644709292961829602190368819455628925752939281687872443227572878080206152359478176840070864873570623288774359800289901755516186181349653728458689 m: 100000000000000000000000000000000000000 deg: 5 c5: 45 c0: 2 skew: 0.54 # Murphy_E = 3.371e-11 type: snfs lss: 1 rlim: 10900000 alim: 10900000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 10900000/10900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved special-q in [100000, 16650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1463910 hash collisions in 13001728 relations (12299699 unique) Msieve: matrix is 1861518 x 1861743 (528.7 MB) Sieving start time: 2023/04/02 22:46:34 Sieving end time : 2023/04/03 05:22:18 Total sieving time: 6hrs 35min 44secs. Total relation processing time: 1hrs 39min 33sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 51sec. Prototype def-par.txt line would be: snfs,191,5,0,0,0,0,0,0,0,0,10900000,10900000,27,27,54,54,2.5,2.5,100000 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	February 26, 2023 05:58:32 UTC 2023 年 2 月 26 日 (日) 14 時 58 分 32 秒 (日本時間)

9×10¹⁹²+4

c147

name 名前	Eric Jeancolas
date 日付	June 26, 2023 05:36:17 UTC 2023 年 6 月 26 日 (月) 14 時 36 分 17 秒 (日本時間)
composite number 合成数	760792480363986076226619986063535826490882969533663646508268568829807067569451842623783302733118370461094864182722653299469202895298415772837722629<147>
prime factors 素因数	1633131574101822467956584152640064626046421108362037065052680823144257<70> 465848858982719169270216297864513908730106340799033572205378553097188477472197<78>
factorization results 素因数分解の結果	76079248036398607622661998606353582649088296953366364650826856882980706756945184262378330273311837046109486418272265329946920289529=1633131574101822467956584152640064626046421108362037065052680823144257465848858982719169270216297864513908730106340799033572205378553097188477472197 cado polynomial n: 760792480363986076226619986063535826490882969533663646508268568829807067569451842623783302733118370461094864182722653299469202895298415772837722629 skew: 0.34 type: snfs c0: 1 c5: 225 Y0: 100000000000000000000000000000000000000 Y1: -1 # f(x) = 225x^5+1 # g(x) = -x+100000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 11200000 tasks.lim1 = 11200000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1633131574101822467956584152640064626046421108362037065052680823144257 465848858982719169270216297864513908730106340799033572205378553097188477472197 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 547.96/70.3502 Info:HTTP server: Got notification to stop serving Workunits Info:Filtering - Merging: Merged matrix has 2079530 rows and total weight 355777803 (171.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 458.94/26.9534 Info:Filtering - Merging: Total cpu/real time for replay: 38.03/33.1354 Info:Linear Algebra: Total cpu/real time for bwc: 60556.9/7609.98 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 39845.98, WCT time 4991.14, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (65024 iterations) Info:Linear Algebra: Lingen CPU time 445.46, WCT time 28.73 Info:Linear Algebra: Mksol: CPU time 20041.35, WCT time 2558.22, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (32512 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 95.95/29.4694 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.099999999999998s Info:Filtering - Singleton removal: Total cpu/real time for purge: 296.7/134.117 Info:Generate Free Relations: Total cpu/real time for freerel: 67.98/6.167 Info:Square Root: Total cpu/real time for sqrt: 547.96/70.3502 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 26828342 Info:Lattice Sieving: Average J: 1893.95 for 2076195 special-q, max bucket fill -bkmult 1.0,1s:1.179590 Info:Lattice Sieving: Total time: 269543s Info:Generate Factor Base: Total cpu/real time for makefb: 1.7/0.226 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 416.58/187.305 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 127.90000000000002s Info:Quadratic Characters: Total cpu/real time for characters: 57.78/10.738 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 594437/42218.7 1633131574101822467956584152640064626046421108362037065052680823144257 465848858982719169270216297864513908730106340799033572205378553097188477472197
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-75-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	February 26, 2023 05:58:39 UTC 2023 年 2 月 26 日 (日) 14 時 58 分 39 秒 (日本時間)
45	11e6	2000 / 4213	1000	Dmitry Domanov	March 31, 2023 21:30:35 UTC 2023 年 4 月 1 日 (土) 6 時 30 分 35 秒 (日本時間)
45	11e6	2000 / 4213	1000	Dmitry Domanov	April 27, 2023 17:57:32 UTC 2023 年 4 月 28 日 (金) 2 時 57 分 32 秒 (日本時間)

9×10¹⁹³+4

c158

name 名前	Dmitry Domanov
date 日付	April 28, 2023 05:41:33 UTC 2023 年 4 月 28 日 (金) 14 時 41 分 33 秒 (日本時間)
composite number 合成数	23082894333479793523610882556464756600901547639552379263315422766296030773785476277204239336819217205476228913505311069777274090678013269700156924545553069933<158>
prime factors 素因数	78751009462627352761907791382708254718566625081<47>
composite cofactor 合成数の残り	293112361238165186965496391215651129846085131199796151260377619444804680237618100022144881283464554728661505493<111>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3922851367 Step 1 took 28521ms Step 2 took 13277ms ********** Factor found in step 2: 78751009462627352761907791382708254718566625081 Found prime factor of 47 digits: 78751009462627352761907791382708254718566625081 Composite cofactor 293112361238165186965496391215651129846085131199796151260377619444804680237618100022144881283464554728661505493 has 111 digits

c111

name 名前	Bob Backstrom
date 日付	May 1, 2023 00:20:41 UTC 2023 年 5 月 1 日 (月) 9 時 20 分 41 秒 (日本時間)
composite number 合成数	293112361238165186965496391215651129846085131199796151260377619444804680237618100022144881283464554728661505493<111>
prime factors 素因数	73840162055151735458996528393080741057827246050431649<53> 3969551976595575541418238359899725807124007580583534373557<58>
factorization results 素因数分解の結果	Number: n N=293112361238165186965496391215651129846085131199796151260377619444804680237618100022144881283464554728661505493 ( 111 digits) Divisors found: Mon May 1 10:13:36 2023 prp53 factor: 73840162055151735458996528393080741057827246050431649 Mon May 1 10:13:36 2023 prp58 factor: 3969551976595575541418238359899725807124007580583534373557 Mon May 1 10:13:36 2023 elapsed time 00:07:41 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.023). Factorization parameters were as follows: # # N = 9×10193+4 = 9(0)1924 # # Composite cofactor 293112361238165186965496391215651129846085131199796151260377619444804680237618100022144881283464554728661505493 has 111 digits # n: 293112361238165186965496391215651129846085131199796151260377619444804680237618100022144881283464554728661505493 Y0: -4589335961975645832897 Y1: 431088553237 c0: -5260488140378870168693761000 c1: 21053951096454913580210 c2: 3837152042809171513 c3: 6865248128314 c4: -273948132 c5: 144 # skew 124940.15, size 1.612e-10, alpha -6.683, combined = 1.015e-09 rroots = 5 skew: 124940.15 type: gnfs rlim: 2600000 alim: 2600000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2600000/2600000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 5300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1880838 hash collisions in 14673194 relations (13271806 unique) Msieve: matrix is 485859 x 486107 (47.5 MB) Sieving start time: 2023/05/01 08:30:09 Sieving end time : 2023/05/01 10:05:41 Total sieving time: 1hrs 35min 32secs. Total relation processing time: 0hrs 4min 20sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 16sec. Prototype def-par.txt line would be: gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,100000 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	1000		Dmitry Domanov	February 26, 2023 05:58:47 UTC 2023 年 2 月 26 日 (日) 14 時 58 分 47 秒 (日本時間)
45	11e6	2000 / 4213	1000	Dmitry Domanov	March 31, 2023 21:31:38 UTC 2023 年 4 月 1 日 (土) 6 時 31 分 38 秒 (日本時間)
45	11e6	2000 / 4213	1000	Dmitry Domanov	April 27, 2023 17:57:22 UTC 2023 年 4 月 28 日 (金) 2 時 57 分 22 秒 (日本時間)

9×10¹⁹⁴+4

c169

name 名前	Bob Backstrom
date 日付	April 23, 2023 04:41:04 UTC 2023 年 4 月 23 日 (日) 13 時 41 分 4 秒 (日本時間)
composite number 合成数	5934981800351840306062559232527836477133656043017884120774726076552824528362316141937401251247488074834900471749168487562013035636177515500201027962926938457291353660481<169>
prime factors 素因数	8137701444979491589197696205436510993302700991435340541<55> 135452413057156605022685401803714616784444558942575566613<57> 5384320370149933494079251721935979960245975332060774793857<58>
factorization results 素因数分解の結果	Number: n N=5934981800351840306062559232527836477133656043017884120774726076552824528362316141937401251247488074834900471749168487562013035636177515500201027962926938457291353660481 ( 169 digits) SNFS difficulty: 195 digits. Divisors found: Sun Apr 23 14:22:10 2023 prp55 factor: 8137701444979491589197696205436510993302700991435340541 Sun Apr 23 14:22:10 2023 prp57 factor: 135452413057156605022685401803714616784444558942575566613 Sun Apr 23 14:22:10 2023 prp58 factor: 5384320370149933494079251721935979960245975332060774793857 Sun Apr 23 14:22:10 2023 elapsed time 01:49:20 (Msieve 1.44 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.109). Factorization parameters were as follows: # # N = 9x10^194+4 = 90(193)4 # n: 5934981800351840306062559232527836477133656043017884120774726076552824528362316141937401251247488074834900471749168487562013035636177515500201027962926938457291353660481 m: 500000000000000000000000000000000000000 deg: 5 c5: 36 c0: 5 skew: 0.67 # Murphy_E = 3.093e-11 type: snfs lss: 1 rlim: 12500000 alim: 12500000 lpbr: 27 lpba: 27 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12500000/12500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 55/55 Sieved special-q in [100000, 24650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1545406 hash collisions in 13674767 relations (12936601 unique) Msieve: matrix is 1771545 x 1771771 (504.7 MB) Sieving start time: 2023/04/23 05:16:36 Sieving end time : 2023/04/23 12:32:34 Total sieving time: 7hrs 15min 58secs. Total relation processing time: 1hrs 34min 41sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 11min 3sec. Prototype def-par.txt line would be: snfs,195,5,0,0,0,0,0,0,0,0,12500000,12500000,27,27,55,55,2.5,2.5,100000 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	February 26, 2023 05:58:56 UTC 2023 年 2 月 26 日 (日) 14 時 58 分 56 秒 (日本時間)
45	11e6	1000 / 4213	Dmitry Domanov	March 31, 2023 21:31:26 UTC 2023 年 4 月 1 日 (土) 6 時 31 分 26 秒 (日本時間)

9×10¹⁹⁵+4

c176

name 名前	Dmitry Domanov
date 日付	February 26, 2023 19:49:13 UTC 2023 年 2 月 27 日 (月) 4 時 49 分 13 秒 (日本時間)
composite number 合成数	63005345603978410400983428132287139450271025758327266223235673929509559666909410605176180192076816277910377301934506434935968577775504688674542411102233633162819084691336154171<176>
prime factors 素因数	23757407724719322051618289387789374450167<41> 2652029477880368220766506589454874310796200687999841795753467636478460759450480391720735921443916838141886926017881693554361007351906013<136>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2609657288 Step 1 took 9919ms Step 2 took 4553ms ********** Factor found in step 2: 23757407724719322051618289387789374450167 Found prime factor of 41 digits: 23757407724719322051618289387789374450167 Prime cofactor 2652029477880368220766506589454874310796200687999841795753467636478460759450480391720735921443916838141886926017881693554361007351906013 has 136 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 / 2078		Dmitry Domanov	February 26, 2023 05:59:04 UTC 2023 年 2 月 26 日 (日) 14 時 59 分 4 秒 (日本時間)

9×10¹⁹⁶+4

c139

name 名前	Bob Backstrom
date 日付	May 31, 2023 14:07:30 UTC 2023 年 5 月 31 日 (水) 23 時 7 分 30 秒 (日本時間)
composite number 合成数	7503497262570538706241252287532292702822288688553928567009536570341304691399605688324912638357503912109677230305376514803206982926290703673<139>
prime factors 素因数	97920488421521235758185050119441976684079213<44> 6724283246426012954019121618008892171062195049<46> 11395782678218957863867610479810032539131102871029<50>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM] Input number is 7503497262570538706241252287532292702822288688553928567009536570341304691399605688324912638357503912109677230305376514803206982926290703673 (139 digits) Using B1=21830000, B2=96186870796, polynomial Dickson(12), sigma=1:3225272123 Step 1 took 40442ms Step 2 took 14761ms ******** Factor found in step 2: 6724283246426012954019121618008892171062195049 Found prime factor of 46 digits: 6724283246426012954019121618008892171062195049 Composite cofactor 1115880605796711721835928765803058867389084149365525897744466491958381615298173469139558820177 has 94 digits GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM] Input number is 1115880605796711721835928765803058867389084149365525897744466491958381615298173469139558820177 (94 digits) Using B1=51080000, B2=288592384096, polynomial Dickson(12), sigma=1:954712982 Step 1 took 50293ms Step 2 took 21014ms ******** Factor found in step 2: 97920488421521235758185050119441976684079213 Found prime factor of 44 digits: 97920488421521235758185050119441976684079213 Prime cofactor 11395782678218957863867610479810032539131102871029 has 50 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	February 26, 2023 05:59:13 UTC 2023 年 2 月 26 日 (日) 14 時 59 分 13 秒 (日本時間)
45	11e6	2000 / 4213	1000	Dmitry Domanov	March 31, 2023 21:30:17 UTC 2023 年 4 月 1 日 (土) 6 時 30 分 17 秒 (日本時間)
45	11e6	2000 / 4213	1000	Dmitry Domanov	April 27, 2023 17:57:12 UTC 2023 年 4 月 28 日 (金) 2 時 57 分 12 秒 (日本時間)

9×10¹⁹⁷+4

c177

name 名前	Dmitry Domanov
date 日付	February 26, 2023 19:49:31 UTC 2023 年 2 月 27 日 (月) 4 時 49 分 31 秒 (日本時間)
composite number 合成数	373615945809107424890673495383141257788107235459363872010225438964336655983236836183616160392616306795443829856007154272062835066023332257449032919654166940355647430298790516601<177>
prime factors 素因数	250240719106378918659717412205449<33> 1493026183521639074082890286723512948519670307007158153869958304061408132550837663748588988973012680390350125549893291863022559837709968393230449<145>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1077504012 Step 1 took 9467ms Step 2 took 4677ms ********** Factor found in step 2: 250240719106378918659717412205449 Found prime factor of 33 digits: 250240719106378918659717412205449 Prime cofactor 1493026183521639074082890286723512948519670307007158153869958304061408132550837663748588988973012680390350125549893291863022559837709968393230449 has 145 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 / 2078		Dmitry Domanov	February 26, 2023 05:59:21 UTC 2023 年 2 月 26 日 (日) 14 時 59 分 21 秒 (日本時間)

9×10¹⁹⁹+4

c200

name 名前	ebina
date 日付	February 22, 2023 14:15:24 UTC 2023 年 2 月 22 日 (水) 23 時 15 分 24 秒 (日本時間)
composite number 合成数	22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<200>
prime factors 素因数	2330439783309954565323049551440589270679863623506367<52> 1256129481116043115911625207392612652549024151731450961<55> 7686174215202168682107813533809309257012615695190661870275174851843373580168270886278623284623<94>
factorization results 素因数分解の結果	Number: 90004_199 N = 22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (200 digits) SNFS difficulty: 201 digits. Divisors found: r1=2330439783309954565323049551440589270679863623506367 (pp52) r2=1256129481116043115911625207392612652549024151731450961 (pp55) r3=7686174215202168682107813533809309257012615695190661870275174851843373580168270886278623284623 (pp94) Version: Msieve v. 1.53 (SVN unknown) Total time: 27.12 hours. Factorization parameters were as follows: n: 22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 m: 5000000000000000000000000000000000000000 deg: 5 c5: 36 c0: 5 skew: 0.67 # Murphy_E = 1.914e-11 type: snfs lss: 1 rlim: 15100000 alim: 15100000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 15100000/15100000 Large primes per side: 3 Large prime bits: 29/29 Sieved rational special-q in [0, 0) Total raw relations: 36851896 Relations: 5011924 relations Pruned matrix : 2937560 x 2937793 Total sieving time: 23.78 hours. Total relation processing time: 0.31 hours. Matrix solve time: 2.56 hours. time per square root: 0.48 hours. Prototype def-par.txt line would be: snfs,201,5,0,0,0,0,0,0,0,0,15100000,15100000,29,29,56,56,2.6,2.6,100000 total time: 27.12 hours. Intel64 Family 6 Model 45 Stepping 6, GenuineIntel processors: 12, speed: 3.30GHz Windows-post2008Server-6.2.9200 Running Python 3.2

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	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)

9×10²⁰⁰+4

c192

name 名前	Bob Backstrom
date 日付	May 22, 2023 02:32:13 UTC 2023 年 5 月 22 日 (月) 11 時 32 分 13 秒 (日本時間)
composite number 合成数	936538873079257107896116993701393138202781319825606805076262131503119375810909987746283760681085366637965426989029895615333532231990535413071770874008170473351013217056773748204348003676443701<192>
prime factors 素因数	6347507699644997297857542678126971550503366876426650404674906810303002220745496369<82> 147544346126848455726487768204765098243570819019029263034881532911545721308126931814390054551244466823575721029<111>
factorization results 素因数分解の結果	Number: n N=936538873079257107896116993701393138202781319825606805076262131503119375810909987746283760681085366637965426989029895615333532231990535413071770874008170473351013217056773748204348003676443701 ( 192 digits) SNFS difficulty: 200 digits. Divisors found: Sun May 21 17:54:45 2023 prp82 factor: 6347507699644997297857542678126971550503366876426650404674906810303002220745496369 Sun May 21 17:54:45 2023 prp111 factor: 147544346126848455726487768204765098243570819019029263034881532911545721308126931814390054551244466823575721029 Sun May 21 17:54:45 2023 elapsed time 02:39:09 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.098). Factorization parameters were as follows: # # N = 9x10^200+4 = 90(199)4 # n: 936538873079257107896116993701393138202781319825606805076262131503119375810909987746283760681085366637965426989029895615333532231990535413071770874008170473351013217056773748204348003676443701 m: 10000000000000000000000000000000000000000 deg: 5 c5: 9 c0: 4 skew: 0.85 # Murphy_E = 1.806e-11 type: snfs lss: 1 rlim: 15600000 alim: 15600000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 15600000/15600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 33400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1844774 hash collisions in 14201024 relations (13129531 unique) Msieve: matrix is 2213382 x 2213609 (630.6 MB) Sieving start time: 2023/05/21 02:42:53 Sieving end time : 2023/05/21 15:15:16 Total sieving time: 12hrs 32min 23secs. Total relation processing time: 2hrs 32min 38sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 29sec. Prototype def-par.txt line would be: snfs,200,5,0,0,0,0,0,0,0,0,15600000,15600000,27,27,56,56,2.6,2.6,100000 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 7, 2023 14:52:18 UTC 2023 年 3 月 7 日 (火) 23 時 52 分 18 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:09:45 UTC 2023 年 3 月 22 日 (水) 15 時 9 分 45 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:50:44 UTC 2023 年 4 月 9 日 (日) 8 時 50 分 44 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:01:26 UTC 2023 年 4 月 17 日 (月) 6 時 1 分 26 秒 (日本時間)
50	43e6	2000 / 6806	1000	Dmitry Domanov	April 23, 2023 21:56:14 UTC 2023 年 4 月 24 日 (月) 6 時 56 分 14 秒 (日本時間)
50	43e6	2000 / 6806	1000	Dmitry Domanov	May 12, 2023 08:53:35 UTC 2023 年 5 月 12 日 (金) 17 時 53 分 35 秒 (日本時間)

9×10²⁰¹+4

c188

name 名前	Dmitry Domanov
date 日付	February 22, 2023 16:30:32 UTC 2023 年 2 月 23 日 (木) 1 時 30 分 32 秒 (日本時間)
composite number 合成数	40358145759156747694844218780669267504737289005376128313648034241648334527614546510629440806153611002292795032177131927863618691168481135938122556599342778831377768771615659445131565947077<188>
prime factors 素因数	42387639460651587637920094980031534127<38> 952120624613247988262412834017514311992077257774242669383058711145589531103020982953567237842956637247290817581843479818858847666952737343483265515851<150>
factorization results 素因数分解の結果	GPU: factor 42387639460651587637920094980031534127 found in Step 1 with curve 163 (-sigma 3:-1874106009) Computing 1792 Step 1 took 183ms of CPU time / 178354ms of GPU time Throughput: 10.047 curves per second (on average 99.53ms per Step 1) ********** Factor found in step 1: 42387639460651587637920094980031534127 Found prime factor of 38 digits: 42387639460651587637920094980031534127 Prime cofactor 952120624613247988262412834017514311992077257774242669383058711145589531103020982953567237842956637247290817581843479818858847666952737343483265515851 has 150 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)

9×10²⁰²+4

c157

name 名前	Mehrshad Alipour
date 日付	October 19, 2024 14:47:41 UTC 2024 年 10 月 19 日 (土) 23 時 47 分 41 秒 (日本時間)
composite number 合成数	7983042107946481082116408904922620660174623853589034553680588946285708527222799244817847238362052190126024827336734720789081029145157136417667773218242133461<157>
prime factors 素因数	22589297112843447980487463109097506610463720347780936898796653<62> 353399314200334961898591452619823102178019041409783502941779985421907314559464593571422820464137<96>
factorization results 素因数分解の結果	Info:Lattice Sieving: Found 8351 relations in '/home/mehrati2019/Documents/Math/yafu/90004_202/cadoWorkDir/90004_202.upload/90004_202.27820000-27830000.nwr0j49r.gz', total is now 33342378/33340028 Info:Lattice Sieving: Marking workunit 90004_202_sieving_27820000-27830000 as ok (100.0% => ETA Sat Oct 19 10:32:49 2024) Info:HTTP server: 192.168.1.4 Sending workunit 90004_202_sieving_28040000-28050000 to client mehrati2019-System-14900k.46eb5fb8 Info:Lattice Sieving: Adding workunit 90004_202_sieving_28140000-28150000 to database Info:Lattice Sieving: Reached target of 33340028 relations, now have 33342378 Info:Complete Factorization / Discrete logarithm: Lattice Sieving Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 33342378 Info:Lattice Sieving: Average J: 7614.24 for 1568030 special-q, max bucket fill -bkmult 1.0,1s:1.170830 Info:Lattice Sieving: Total time: 938640s Info:Filtering - Duplicate Removal, splitting pass: Starting Info:Filtering - Duplicate Removal, splitting pass: Splitting 185 new files Info:HTTP server: 127.0.0.1 Sending workunit 90004_202_sieving_28050000-28060000 to client localhost+3 Info:HTTP server: 127.0.0.1 Sending workunit 90004_202_sieving_28060000-28070000 to client localhost+4 Info:Filtering - Duplicate Removal, splitting pass: Relations per slice: 0: 16666397, 1: 16675981 Info:Complete Factorization / Discrete logarithm: Filtering - Duplicate Removal, splitting pass Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 122.97/77.7846 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.1s Info:Filtering - Duplicate Removal, removal pass: Starting Info:HTTP server: 192.168.1.4 Sending workunit 90004_202_sieving_28070000-28080000 to client mehrati2019-System-14900k.7e2161c4 Info:HTTP server: 192.168.1.4 Sending workunit 90004_202_sieving_28080000-28090000 to client mehrati2019-System-14900k.ee167dac Info:Filtering - Duplicate Removal, removal pass: 12210304 unique relations remain on slice 0 Info:HTTP server: 192.168.1.4 Sending workunit 90004_202_sieving_28090000-28100000 to client mehrati2019-System-14900k.8fef8021 Info:HTTP server: 192.168.1.6 Sending workunit 90004_202_sieving_28100000-28110000 to client mariobiz2019-Lenovo-B50-30.674251a7 Info:Filtering - Duplicate Removal, removal pass: 12219219 unique relations remain on slice 1 Info:Filtering - Duplicate Removal, removal pass: Of 1696487 newly added relations 1151389 were unique (ratio 0.678690) Info:Filtering - Duplicate Removal, removal pass: 24429523 unique relations remain in total Info:Complete Factorization / Discrete logarithm: Filtering - Duplicate Removal, removal pass Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 496.02/340.02 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 244.19999999999996s Info:Filtering - Singleton removal: Starting Info:Filtering - Singleton removal: Reading 24429523 unique and 1219925 free relations, total 25649448 Info:HTTP server: 192.168.1.4 Sending workunit 90004_202_sieving_28110000-28120000 to client mehrati2019-System-14900k.561fe287 Info:HTTP server: 192.168.1.4 Sending workunit 90004_202_sieving_28120000-28130000 to client mehrati2019-System-14900k.41967ebd Info:HTTP server: 192.168.1.4 Sending workunit 90004_202_sieving_28130000-28140000 to client mehrati2019-System-14900k.eee67c5f Info:HTTP server: 192.168.1.4 Sending workunit 90004_202_sieving_28140000-28150000 to client mehrati2019-System-14900k.b325ea01 Info:Filtering - Singleton removal: After purge, 7623005 relations with 7622825 primes remain with weight 133814449 and excess 180 Info:Filtering - Singleton removal: Have enough relations Info:HTTP server: Got notification to stop serving Workunits Info:Lattice Sieving: Cancelling remaining workunits Info:Client Launcher: Stopped client localhost (Host localhost, PID 4723) Info:Client Launcher: Stopped client localhost+2 (Host localhost, PID 4725) Info:Client Launcher: Stopped client localhost+3 (Host localhost, PID 4737) Info:Client Launcher: Stopped client localhost+4 (Host localhost, PID 4748) Info:Complete Factorization / Discrete logarithm: Filtering - Singleton removal Info:Filtering - Singleton removal: Total cpu/real time for purge: 416.94/254.521 Info:Filtering - Merging: Starting Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Info:Filtering - Merging: Merged matrix has 2096320 rows and total weight 275562191 (131.5 entries per row on average) Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Info:Complete Factorization / Discrete logarithm: Filtering - Merging Info:Filtering - Merging: Total cpu/real time for merge: 322.11/46.9568 Info:Filtering - Merging: Total cpu/real time for replay: 40.62/35.0197 Info:Linear Algebra: Starting Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.4 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.6 code 410, message Distributed computation finished Warning:HTTP server: 192.168.1.6 code 410, message Distributed computation finished Info:Linear Algebra: krylov: N=4000 ; ETA (N=68000): Sat Oct 19 11:59:10 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=8000 ; ETA (N=68000): Sat Oct 19 11:59:08 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=12000 ; ETA (N=68000): Sat Oct 19 11:59:08 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=16000 ; ETA (N=68000): Sat Oct 19 11:59:07 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=20000 ; ETA (N=68000): Sat Oct 19 11:59:07 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=24000 ; ETA (N=68000): Sat Oct 19 11:59:07 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=28000 ; ETA (N=68000): Sat Oct 19 11:59:07 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=32000 ; ETA (N=68000): Sat Oct 19 11:59:08 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=36000 ; ETA (N=68000): Sat Oct 19 11:59:08 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=40000 ; ETA (N=68000): Sat Oct 19 11:59:08 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=44000 ; ETA (N=68000): Sat Oct 19 11:59:08 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=48000 ; ETA (N=68000): Sat Oct 19 11:59:08 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=52000 ; ETA (N=68000): Sat Oct 19 11:59:08 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=56000 ; ETA (N=68000): Sat Oct 19 11:59:07 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=60000 ; ETA (N=68000): Sat Oct 19 11:59:07 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=64000 ; ETA (N=68000): Sat Oct 19 11:59:06 2024 [0.064 s/iter] Info:Linear Algebra: krylov: N=68000 ; ETA (N=68000): Sat Oct 19 11:59:07 2024 [0.064 s/iter] Info:Linear Algebra: lingen ETA: not available yet Info:Linear Algebra: lingen ETA: not available yet Info:Linear Algebra: lingen ETA: not available yet Info:Linear Algebra: lingen ETA: not available yet Info:Linear Algebra: lingen ETA: not available yet Info:Linear Algebra: lingen ETA: Sat Oct 19 12:00:52 2024 Info:Linear Algebra: mksol: N=4000 ; ETA (N=36000): Sat Oct 19 12:43:53 2024 [0.072 s/iter] Info:Linear Algebra: mksol: N=8000 ; ETA (N=36000): Sat Oct 19 12:43:53 2024 [0.072 s/iter] Info:Linear Algebra: mksol: N=12000 ; ETA (N=36000): Sat Oct 19 12:43:53 2024 [0.072 s/iter] Info:Linear Algebra: mksol: N=16000 ; ETA (N=36000): Sat Oct 19 12:43:52 2024 [0.072 s/iter] Info:Linear Algebra: mksol: N=20000 ; ETA (N=36000): Sat Oct 19 12:43:52 2024 [0.072 s/iter] Info:Linear Algebra: mksol: N=24000 ; ETA (N=36000): Sat Oct 19 12:43:53 2024 [0.072 s/iter] Info:Linear Algebra: mksol: N=28000 ; ETA (N=36000): Sat Oct 19 12:43:53 2024 [0.072 s/iter] Info:Linear Algebra: mksol: N=32000 ; ETA (N=36000): Sat Oct 19 12:43:53 2024 [0.072 s/iter] Info:Linear Algebra: mksol: N=32753 ; ETA (N=36000): Sat Oct 19 12:43:53 2024 [0.072 s/iter] Info:Complete Factorization / Discrete logarithm: Linear Algebra Info:Linear Algebra: Total cpu/real time for bwc: 55895.3/7339.13 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 33461.74, WCT time 4333.59, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68000 iterations) Info:Linear Algebra: Lingen CPU time 102.95, WCT time 103.92 Info:Linear Algebra: Mksol: CPU time 18168.47, WCT time 2349.87, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36000 iterations) Info:Quadratic Characters: Starting Info:Complete Factorization / Discrete logarithm: Quadratic Characters Info:Quadratic Characters: Total cpu/real time for characters: 51.55/13.8816 Info:Square Root: Starting Info:Square Root: Creating file of (a,b) values Info:Square Root: finished Info:Square Root: Factors: 353399314200334961898591452619823102178019041409783502941779985421907314559464593571422820464137 22589297112843447980487463109097506610463720347780936898796653 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 1494.53/203.095 Info:HTTP server: Got notification to stop serving Workunits Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 33342378 Info:Lattice Sieving: Average J: 7614.24 for 1568030 special-q, max bucket fill -bkmult 1.0,1s:1.170830 Info:Lattice Sieving: Total time: 938640s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 496.02/340.02 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 244.19999999999996s Info:Generate Factor Base: Total cpu/real time for makefb: 4.85/0.964037 Info:Filtering - Merging: Total cpu/real time for merge: 322.11/46.9568 Info:Filtering - Merging: Total cpu/real time for replay: 40.62/35.0197 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 122.97/77.7846 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.1s Info:Quadratic Characters: Total cpu/real time for characters: 51.55/13.8816 Info:Square Root: Total cpu/real time for sqrt: 1494.53/203.095 Info:Filtering - Singleton removal: Total cpu/real time for purge: 416.94/254.521 Info:Linear Algebra: Total cpu/real time for bwc: 55895.3/7339.13 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 33461.74, WCT time 4333.59, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68000 iterations) Info:Linear Algebra: Lingen CPU time 102.95, WCT time 103.92 Info:Linear Algebra: Mksol: CPU time 18168.47, WCT time 2349.87, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36000 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 91.55/11.7992 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.84292e+06/86068.5 [23:54:29] 353399314200334961898591452619823102178019041409783502941779985421907314559464593571422820464137 22589297112843447980487463109097506610463720347780936898796653
software ソフトウェア	cado-nfs
execution environment 実行環境	ubuntu

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 7, 2023 14:52:20 UTC 2023 年 3 月 7 日 (火) 23 時 52 分 20 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:09:56 UTC 2023 年 3 月 22 日 (水) 15 時 9 分 56 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:50:53 UTC 2023 年 4 月 9 日 (日) 8 時 50 分 53 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:01:38 UTC 2023 年 4 月 17 日 (月) 6 時 1 分 38 秒 (日本時間)
50	43e6	6806	1000	Dmitry Domanov	April 28, 2023 08:01:13 UTC 2023 年 4 月 28 日 (金) 17 時 1 分 13 秒 (日本時間)
			1000	Dmitry Domanov	May 12, 2023 13:58:25 UTC 2023 年 5 月 12 日 (金) 22 時 58 分 25 秒 (日本時間)
			1000	Dmitry Domanov	May 18, 2023 10:35:06 UTC 2023 年 5 月 18 日 (木) 19 時 35 分 6 秒 (日本時間)
			3806	Bob Backstrom	June 23, 2024 23:31:27 UTC 2024 年 6 月 24 日 (月) 8 時 31 分 27 秒 (日本時間)

9×10²⁰³+4

c151

name 名前	Dmitry Domanov
date 日付	February 23, 2023 18:51:24 UTC 2023 年 2 月 24 日 (金) 3 時 51 分 24 秒 (日本時間)
composite number 合成数	3721726419127375090509736084554285831879163131897127881223948665985779126354346863009991639603536222356770503454321716326848594074416712395838740979133<151>
prime factors 素因数	566519384036491542015202047295387615757<39>
composite cofactor 合成数の残り	6569459976126157345701237603571204122044261711070418690673556336023379916912550916956539768440739745327378566769<112>
factorization results 素因数分解の結果	Resuming ECM residue saved by @04c39b586e47 with GMP-ECM 7.0.5-dev on Wed Feb 22 13:55:07 2023 Input number is 3721726419127375090509736084554285831879163131897127881223948665985779126354346863009991639603536222356770503454321716326848594074416712395838740979133 (151 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:713461969 Step 1 took 0ms Step 2 took 3566ms ********** Factor found in step 2: 566519384036491542015202047295387615757 Found prime factor of 39 digits: 566519384036491542015202047295387615757 Composite cofactor 6569459976126157345701237603571204122044261711070418690673556336023379916912550916956539768440739745327378566769 has 112 digits

c112

name 名前	Ignacio Santos
date 日付	February 24, 2023 15:10:03 UTC 2023 年 2 月 25 日 (土) 0 時 10 分 3 秒 (日本時間)
composite number 合成数	6569459976126157345701237603571204122044261711070418690673556336023379916912550916956539768440739745327378566769<112>
prime factors 素因数	1437638219317926110896164436311171299503<40> 4569619733150232781663698492275129030591732873947254991007222566649459423<73>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=1750000, q1=1850000. -> client 1 q0: 1750000 LatSieveTime: 86 LatSieveTime: 90 LatSieveTime: 92 LatSieveTime: 93 LatSieveTime: 95 LatSieveTime: 95 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 118 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 127 -> makeJobFile(): Adjusted to q0=1850001, q1=1950000. -> client 1 q0: 1850001 LatSieveTime: 84 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 124 LatSieveTime: 124 -> makeJobFile(): Adjusted to q0=1950001, q1=2050000. -> client 1 q0: 1950001 LatSieveTime: 76 LatSieveTime: 86 LatSieveTime: 88 LatSieveTime: 93 LatSieveTime: 94 LatSieveTime: 95 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 101 LatSieveTime: 103 LatSieveTime: 104 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: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 116 LatSieveTime: 119 LatSieveTime: 121 LatSieveTime: 123 LatSieveTime: 129 -> makeJobFile(): Adjusted to q0=2050001, q1=2150000. -> client 1 q0: 2050001 LatSieveTime: 94 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 124 LatSieveTime: 124 -> makeJobFile(): Adjusted to q0=2150001, q1=2250000. -> client 1 q0: 2150001 LatSieveTime: 92 LatSieveTime: 92 LatSieveTime: 94 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 124 LatSieveTime: 124 LatSieveTime: 129 -> makeJobFile(): Adjusted to q0=2250001, q1=2350000. -> client 1 q0: 2250001 LatSieveTime: 87 LatSieveTime: 88 LatSieveTime: 89 LatSieveTime: 90 LatSieveTime: 93 LatSieveTime: 97 LatSieveTime: 99 LatSieveTime: 99 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 130 LatSieveTime: 134 Fri Feb 24 15:55:18 2023 Fri Feb 24 15:55:18 2023 Fri Feb 24 15:55:18 2023 Msieve v. 1.52 (SVN 927) Fri Feb 24 15:55:18 2023 random seeds: 216f40c8 634c2e86 Fri Feb 24 15:55:18 2023 factoring 6569459976126157345701237603571204122044261711070418690673556336023379916912550916956539768440739745327378566769 (112 digits) Fri Feb 24 15:55:18 2023 searching for 15-digit factors Fri Feb 24 15:55:18 2023 commencing number field sieve (112-digit input) Fri Feb 24 15:55:18 2023 R0: -3654345580150514333199 Fri Feb 24 15:55:18 2023 R1: 787263155129 Fri Feb 24 15:55:18 2023 A0: 41568920265353034951724600 Fri Feb 24 15:55:18 2023 A1: 93947613312364549936378 Fri Feb 24 15:55:18 2023 A2: -6126972703816656439 Fri Feb 24 15:55:18 2023 A3: -109209132783880 Fri Feb 24 15:55:18 2023 A4: 2269537002 Fri Feb 24 15:55:18 2023 A5: 10080 Fri Feb 24 15:55:18 2023 skew 48017.71, size 8.232e-011, alpha -5.990, combined = 6.869e-010 rroots = 5 Fri Feb 24 15:55:18 2023 Fri Feb 24 15:55:18 2023 commencing relation filtering Fri Feb 24 15:55:18 2023 estimated available RAM is 65413.5 MB Fri Feb 24 15:55:18 2023 commencing duplicate removal, pass 1 Fri Feb 24 15:55:28 2023 found 358437 hash collisions in 5084318 relations Fri Feb 24 15:55:35 2023 added 53685 free relations Fri Feb 24 15:55:35 2023 commencing duplicate removal, pass 2 Fri Feb 24 15:55:36 2023 found 204732 duplicates and 4933271 unique relations Fri Feb 24 15:55:36 2023 memory use: 16.3 MB Fri Feb 24 15:55:36 2023 reading ideals above 100000 Fri Feb 24 15:55:36 2023 commencing singleton removal, initial pass Fri Feb 24 15:55:54 2023 memory use: 172.3 MB Fri Feb 24 15:55:54 2023 reading all ideals from disk Fri Feb 24 15:55:54 2023 memory use: 167.2 MB Fri Feb 24 15:55:54 2023 keeping 6591246 ideals with weight <= 200, target excess is 26498 Fri Feb 24 15:55:54 2023 commencing in-memory singleton removal Fri Feb 24 15:55:55 2023 begin with 4933271 relations and 6591246 unique ideals Fri Feb 24 15:55:55 2023 reduce to 93 relations and 0 ideals in 10 passes Fri Feb 24 15:55:55 2023 max relations containing the same ideal: 0 Fri Feb 24 15:55:55 2023 filtering wants 1000000 more relations Fri Feb 24 15:55:55 2023 elapsed time 00:00:37 -> makeJobFile(): Adjusted to q0=2350001, q1=2450000. -> client 1 q0: 2350001 LatSieveTime: 86 LatSieveTime: 91 LatSieveTime: 96 LatSieveTime: 96 LatSieveTime: 97 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 102 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 106 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: 112 LatSieveTime: 111 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 117 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 121 LatSieveTime: 121 LatSieveTime: 127 Fri Feb 24 15:58:07 2023 Fri Feb 24 15:58:07 2023 Fri Feb 24 15:58:07 2023 Msieve v. 1.52 (SVN 927) Fri Feb 24 15:58:07 2023 random seeds: ce8dd740 e7329e21 Fri Feb 24 15:58:07 2023 factoring 6569459976126157345701237603571204122044261711070418690673556336023379916912550916956539768440739745327378566769 (112 digits) Fri Feb 24 15:58:08 2023 searching for 15-digit factors Fri Feb 24 15:58:08 2023 commencing number field sieve (112-digit input) Fri Feb 24 15:58:08 2023 R0: -3654345580150514333199 Fri Feb 24 15:58:08 2023 R1: 787263155129 Fri Feb 24 15:58:08 2023 A0: 41568920265353034951724600 Fri Feb 24 15:58:08 2023 A1: 93947613312364549936378 Fri Feb 24 15:58:08 2023 A2: -6126972703816656439 Fri Feb 24 15:58:08 2023 A3: -109209132783880 Fri Feb 24 15:58:08 2023 A4: 2269537002 Fri Feb 24 15:58:08 2023 A5: 10080 Fri Feb 24 15:58:08 2023 skew 48017.71, size 8.232e-011, alpha -5.990, combined = 6.869e-010 rroots = 5 Fri Feb 24 15:58:08 2023 Fri Feb 24 15:58:08 2023 commencing relation filtering Fri Feb 24 15:58:08 2023 estimated available RAM is 65413.5 MB Fri Feb 24 15:58:08 2023 commencing duplicate removal, pass 1 Fri Feb 24 15:58:20 2023 found 477217 hash collisions in 5973914 relations Fri Feb 24 15:58:27 2023 added 1845 free relations Fri Feb 24 15:58:27 2023 commencing duplicate removal, pass 2 Fri Feb 24 15:58:29 2023 found 271606 duplicates and 5704153 unique relations Fri Feb 24 15:58:29 2023 memory use: 24.6 MB Fri Feb 24 15:58:29 2023 reading ideals above 100000 Fri Feb 24 15:58:29 2023 commencing singleton removal, initial pass Fri Feb 24 15:58:49 2023 memory use: 188.3 MB Fri Feb 24 15:58:49 2023 reading all ideals from disk Fri Feb 24 15:58:50 2023 memory use: 193.5 MB Fri Feb 24 15:58:50 2023 keeping 7107392 ideals with weight <= 200, target excess is 30217 Fri Feb 24 15:58:50 2023 commencing in-memory singleton removal Fri Feb 24 15:58:50 2023 begin with 5704153 relations and 7107392 unique ideals Fri Feb 24 15:58:51 2023 reduce to 109 relations and 0 ideals in 24 passes Fri Feb 24 15:58:51 2023 max relations containing the same ideal: 0 Fri Feb 24 15:58:51 2023 filtering wants 1000000 more relations Fri Feb 24 15:58:51 2023 elapsed time 00:00:44 -> makeJobFile(): Adjusted to q0=2450001, q1=2550000. -> client 1 q0: 2450001 LatSieveTime: 87 LatSieveTime: 91 LatSieveTime: 98 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 100 LatSieveTime: 101 LatSieveTime: 102 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 106 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 107 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 110 LatSieveTime: 112 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 124 LatSieveTime: 126 Fri Feb 24 16:01:02 2023 Fri Feb 24 16:01:02 2023 Fri Feb 24 16:01:02 2023 Msieve v. 1.52 (SVN 927) Fri Feb 24 16:01:02 2023 random seeds: 94139f60 e9a86331 Fri Feb 24 16:01:02 2023 factoring 6569459976126157345701237603571204122044261711070418690673556336023379916912550916956539768440739745327378566769 (112 digits) Fri Feb 24 16:01:03 2023 searching for 15-digit factors Fri Feb 24 16:01:03 2023 commencing number field sieve (112-digit input) Fri Feb 24 16:01:03 2023 R0: -3654345580150514333199 Fri Feb 24 16:01:03 2023 R1: 787263155129 Fri Feb 24 16:01:03 2023 A0: 41568920265353034951724600 Fri Feb 24 16:01:03 2023 A1: 93947613312364549936378 Fri Feb 24 16:01:03 2023 A2: -6126972703816656439 Fri Feb 24 16:01:03 2023 A3: -109209132783880 Fri Feb 24 16:01:03 2023 A4: 2269537002 Fri Feb 24 16:01:03 2023 A5: 10080 Fri Feb 24 16:01:03 2023 skew 48017.71, size 8.232e-011, alpha -5.990, combined = 6.869e-010 rroots = 5 Fri Feb 24 16:01:03 2023 Fri Feb 24 16:01:03 2023 commencing relation filtering Fri Feb 24 16:01:03 2023 estimated available RAM is 65413.5 MB Fri Feb 24 16:01:03 2023 commencing duplicate removal, pass 1 Fri Feb 24 16:01:16 2023 found 604748 hash collisions in 6809685 relations Fri Feb 24 16:01:24 2023 added 1429 free relations Fri Feb 24 16:01:24 2023 commencing duplicate removal, pass 2 Fri Feb 24 16:01:26 2023 found 345898 duplicates and 6465216 unique relations Fri Feb 24 16:01:26 2023 memory use: 24.6 MB Fri Feb 24 16:01:26 2023 reading ideals above 100000 Fri Feb 24 16:01:26 2023 commencing singleton removal, initial pass Fri Feb 24 16:01:49 2023 memory use: 188.3 MB Fri Feb 24 16:01:49 2023 reading all ideals from disk Fri Feb 24 16:01:49 2023 memory use: 219.5 MB Fri Feb 24 16:01:49 2023 keeping 7566571 ideals with weight <= 200, target excess is 34409 Fri Feb 24 16:01:49 2023 commencing in-memory singleton removal Fri Feb 24 16:01:50 2023 begin with 6465216 relations and 7566571 unique ideals Fri Feb 24 16:01:51 2023 reduce to 1548370 relations and 1609408 ideals in 21 passes Fri Feb 24 16:01:51 2023 max relations containing the same ideal: 72 Fri Feb 24 16:01:51 2023 filtering wants 1000000 more relations Fri Feb 24 16:01:51 2023 elapsed time 00:00:49 -> makeJobFile(): Adjusted to q0=2550001, q1=2650000. -> client 1 q0: 2550001 LatSieveTime: 86 LatSieveTime: 97 LatSieveTime: 98 LatSieveTime: 100 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 103 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 104 LatSieveTime: 105 LatSieveTime: 105 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 108 LatSieveTime: 109 LatSieveTime: 110 LatSieveTime: 111 LatSieveTime: 111 LatSieveTime: 112 LatSieveTime: 113 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 114 LatSieveTime: 115 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 116 LatSieveTime: 117 LatSieveTime: 118 LatSieveTime: 118 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 119 LatSieveTime: 120 LatSieveTime: 120 LatSieveTime: 121 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 122 LatSieveTime: 123 LatSieveTime: 123 LatSieveTime: 125 LatSieveTime: 125 LatSieveTime: 125 Fri Feb 24 16:04:02 2023 Fri Feb 24 16:04:02 2023 Fri Feb 24 16:04:02 2023 Msieve v. 1.52 (SVN 927) Fri Feb 24 16:04:02 2023 random seeds: ac971c34 08612be9 Fri Feb 24 16:04:02 2023 factoring 6569459976126157345701237603571204122044261711070418690673556336023379916912550916956539768440739745327378566769 (112 digits) Fri Feb 24 16:04:02 2023 searching for 15-digit factors Fri Feb 24 16:04:03 2023 commencing number field sieve (112-digit input) Fri Feb 24 16:04:03 2023 R0: -3654345580150514333199 Fri Feb 24 16:04:03 2023 R1: 787263155129 Fri Feb 24 16:04:03 2023 A0: 41568920265353034951724600 Fri Feb 24 16:04:03 2023 A1: 93947613312364549936378 Fri Feb 24 16:04:03 2023 A2: -6126972703816656439 Fri Feb 24 16:04:03 2023 A3: -109209132783880 Fri Feb 24 16:04:03 2023 A4: 2269537002 Fri Feb 24 16:04:03 2023 A5: 10080 Fri Feb 24 16:04:03 2023 skew 48017.71, size 8.232e-011, alpha -5.990, combined = 6.869e-010 rroots = 5 Fri Feb 24 16:04:03 2023 Fri Feb 24 16:04:03 2023 commencing relation filtering Fri Feb 24 16:04:03 2023 estimated available RAM is 65413.5 MB Fri Feb 24 16:04:03 2023 commencing duplicate removal, pass 1 Fri Feb 24 16:04:18 2023 found 588815 hash collisions in 7652669 relations Fri Feb 24 16:04:26 2023 added 1101 free relations Fri Feb 24 16:04:26 2023 commencing duplicate removal, pass 2 Fri Feb 24 16:04:28 2023 found 428718 duplicates and 7225052 unique relations Fri Feb 24 16:04:28 2023 memory use: 32.6 MB Fri Feb 24 16:04:28 2023 reading ideals above 100000 Fri Feb 24 16:04:28 2023 commencing singleton removal, initial pass Fri Feb 24 16:04:54 2023 memory use: 188.3 MB Fri Feb 24 16:04:54 2023 reading all ideals from disk Fri Feb 24 16:04:54 2023 memory use: 245.5 MB Fri Feb 24 16:04:54 2023 keeping 7982646 ideals with weight <= 200, target excess is 38685 Fri Feb 24 16:04:55 2023 commencing in-memory singleton removal Fri Feb 24 16:04:55 2023 begin with 7225052 relations and 7982646 unique ideals Fri Feb 24 16:04:57 2023 reduce to 2389847 relations and 2232090 ideals in 16 passes Fri Feb 24 16:04:57 2023 max relations containing the same ideal: 93 Fri Feb 24 16:04:57 2023 removing 408254 relations and 351813 ideals in 56441 cliques Fri Feb 24 16:04:58 2023 commencing in-memory singleton removal Fri Feb 24 16:04:58 2023 begin with 1981593 relations and 2232090 unique ideals Fri Feb 24 16:04:58 2023 reduce to 1924828 relations and 1821827 ideals in 11 passes Fri Feb 24 16:04:58 2023 max relations containing the same ideal: 82 Fri Feb 24 16:04:58 2023 removing 315379 relations and 258938 ideals in 56441 cliques Fri Feb 24 16:04:58 2023 commencing in-memory singleton removal Fri Feb 24 16:04:58 2023 begin with 1609449 relations and 1821827 unique ideals Fri Feb 24 16:04:59 2023 reduce to 1566183 relations and 1518320 ideals in 9 passes Fri Feb 24 16:04:59 2023 max relations containing the same ideal: 69 Fri Feb 24 16:04:59 2023 relations with 0 large ideals: 129 Fri Feb 24 16:04:59 2023 relations with 1 large ideals: 351 Fri Feb 24 16:04:59 2023 relations with 2 large ideals: 5835 Fri Feb 24 16:04:59 2023 relations with 3 large ideals: 43291 Fri Feb 24 16:04:59 2023 relations with 4 large ideals: 169867 Fri Feb 24 16:04:59 2023 relations with 5 large ideals: 372599 Fri Feb 24 16:04:59 2023 relations with 6 large ideals: 466880 Fri Feb 24 16:04:59 2023 relations with 7+ large ideals: 507231 Fri Feb 24 16:04:59 2023 commencing 2-way merge Fri Feb 24 16:04:59 2023 reduce to 888929 relation sets and 841067 unique ideals Fri Feb 24 16:04:59 2023 ignored 1 oversize relation sets Fri Feb 24 16:04:59 2023 commencing full merge Fri Feb 24 16:05:09 2023 memory use: 97.3 MB Fri Feb 24 16:05:09 2023 found 441376 cycles, need 433267 Fri Feb 24 16:05:09 2023 weight of 433267 cycles is about 30429733 (70.23/cycle) Fri Feb 24 16:05:09 2023 distribution of cycle lengths: Fri Feb 24 16:05:09 2023 1 relations: 48126 Fri Feb 24 16:05:09 2023 2 relations: 46808 Fri Feb 24 16:05:09 2023 3 relations: 47473 Fri Feb 24 16:05:09 2023 4 relations: 44030 Fri Feb 24 16:05:09 2023 5 relations: 40711 Fri Feb 24 16:05:09 2023 6 relations: 35582 Fri Feb 24 16:05:09 2023 7 relations: 31188 Fri Feb 24 16:05:09 2023 8 relations: 27361 Fri Feb 24 16:05:09 2023 9 relations: 23673 Fri Feb 24 16:05:09 2023 10+ relations: 88315 Fri Feb 24 16:05:09 2023 heaviest cycle: 21 relations Fri Feb 24 16:05:09 2023 commencing cycle optimization Fri Feb 24 16:05:09 2023 start with 2643641 relations Fri Feb 24 16:05:12 2023 pruned 55344 relations Fri Feb 24 16:05:12 2023 memory use: 89.1 MB Fri Feb 24 16:05:12 2023 distribution of cycle lengths: Fri Feb 24 16:05:12 2023 1 relations: 48126 Fri Feb 24 16:05:12 2023 2 relations: 47769 Fri Feb 24 16:05:12 2023 3 relations: 48890 Fri Feb 24 16:05:12 2023 4 relations: 44995 Fri Feb 24 16:05:12 2023 5 relations: 41611 Fri Feb 24 16:05:12 2023 6 relations: 35983 Fri Feb 24 16:05:12 2023 7 relations: 31532 Fri Feb 24 16:05:12 2023 8 relations: 27372 Fri Feb 24 16:05:12 2023 9 relations: 23611 Fri Feb 24 16:05:12 2023 10+ relations: 83378 Fri Feb 24 16:05:12 2023 heaviest cycle: 21 relations Fri Feb 24 16:05:12 2023 RelProcTime: 69 Fri Feb 24 16:05:12 2023 elapsed time 00:01:10 Fri Feb 24 16:05:12 2023 Fri Feb 24 16:05:12 2023 Fri Feb 24 16:05:12 2023 Msieve v. 1.52 (SVN 927) Fri Feb 24 16:05:12 2023 random seeds: c66e31d8 07115891 Fri Feb 24 16:05:12 2023 factoring 6569459976126157345701237603571204122044261711070418690673556336023379916912550916956539768440739745327378566769 (112 digits) Fri Feb 24 16:05:13 2023 searching for 15-digit factors Fri Feb 24 16:05:13 2023 commencing number field sieve (112-digit input) Fri Feb 24 16:05:13 2023 R0: -3654345580150514333199 Fri Feb 24 16:05:13 2023 R1: 787263155129 Fri Feb 24 16:05:13 2023 A0: 41568920265353034951724600 Fri Feb 24 16:05:13 2023 A1: 93947613312364549936378 Fri Feb 24 16:05:13 2023 A2: -6126972703816656439 Fri Feb 24 16:05:13 2023 A3: -109209132783880 Fri Feb 24 16:05:13 2023 A4: 2269537002 Fri Feb 24 16:05:13 2023 A5: 10080 Fri Feb 24 16:05:13 2023 skew 48017.71, size 8.232e-011, alpha -5.990, combined = 6.869e-010 rroots = 5 Fri Feb 24 16:05:13 2023 Fri Feb 24 16:05:13 2023 commencing linear algebra Fri Feb 24 16:05:13 2023 read 433267 cycles Fri Feb 24 16:05:13 2023 cycles contain 1500360 unique relations Fri Feb 24 16:05:17 2023 read 1500360 relations Fri Feb 24 16:05:18 2023 using 20 quadratic characters above 134217048 Fri Feb 24 16:05:21 2023 building initial matrix Fri Feb 24 16:05:28 2023 memory use: 188.9 MB Fri Feb 24 16:05:29 2023 read 433267 cycles Fri Feb 24 16:05:29 2023 matrix is 433087 x 433267 (130.0 MB) with weight 41143399 (94.96/col) Fri Feb 24 16:05:29 2023 sparse part has weight 29321458 (67.68/col) Fri Feb 24 16:05:30 2023 filtering completed in 2 passes Fri Feb 24 16:05:31 2023 matrix is 432144 x 432324 (129.9 MB) with weight 41103368 (95.08/col) Fri Feb 24 16:05:31 2023 sparse part has weight 29308382 (67.79/col) Fri Feb 24 16:05:31 2023 matrix starts at (0, 0) Fri Feb 24 16:05:31 2023 matrix is 432144 x 432324 (129.9 MB) with weight 41103368 (95.08/col) Fri Feb 24 16:05:31 2023 sparse part has weight 29308382 (67.79/col) Fri Feb 24 16:05:31 2023 saving the first 48 matrix rows for later Fri Feb 24 16:05:31 2023 matrix includes 64 packed rows Fri Feb 24 16:05:31 2023 matrix is 432096 x 432324 (125.0 MB) with weight 32493577 (75.16/col) Fri Feb 24 16:05:31 2023 sparse part has weight 28445341 (65.80/col) Fri Feb 24 16:05:31 2023 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Fri Feb 24 16:05:33 2023 commencing Lanczos iteration (32 threads) Fri Feb 24 16:05:33 2023 memory use: 97.1 MB Fri Feb 24 16:05:38 2023 linear algebra at 2.8%, ETA 0h 2m Fri Feb 24 16:08:45 2023 lanczos halted after 6835 iterations (dim = 432096) Fri Feb 24 16:08:45 2023 recovered 30 nontrivial dependencies Fri Feb 24 16:08:45 2023 BLanczosTime: 212 Fri Feb 24 16:08:45 2023 elapsed time 00:03:33 Fri Feb 24 16:08:45 2023 Fri Feb 24 16:08:45 2023 Fri Feb 24 16:08:45 2023 Msieve v. 1.52 (SVN 927) Fri Feb 24 16:08:45 2023 random seeds: 97b0f3e0 8eefb040 Fri Feb 24 16:08:45 2023 factoring 6569459976126157345701237603571204122044261711070418690673556336023379916912550916956539768440739745327378566769 (112 digits) Fri Feb 24 16:08:45 2023 searching for 15-digit factors Fri Feb 24 16:08:45 2023 commencing number field sieve (112-digit input) Fri Feb 24 16:08:45 2023 R0: -3654345580150514333199 Fri Feb 24 16:08:45 2023 R1: 787263155129 Fri Feb 24 16:08:45 2023 A0: 41568920265353034951724600 Fri Feb 24 16:08:45 2023 A1: 93947613312364549936378 Fri Feb 24 16:08:45 2023 A2: -6126972703816656439 Fri Feb 24 16:08:45 2023 A3: -109209132783880 Fri Feb 24 16:08:45 2023 A4: 2269537002 Fri Feb 24 16:08:45 2023 A5: 10080 Fri Feb 24 16:08:45 2023 skew 48017.71, size 8.232e-011, alpha -5.990, combined = 6.869e-010 rroots = 5 Fri Feb 24 16:08:45 2023 Fri Feb 24 16:08:45 2023 commencing square root phase Fri Feb 24 16:08:45 2023 reading relations for dependency 1 Fri Feb 24 16:08:45 2023 read 216395 cycles Fri Feb 24 16:08:46 2023 cycles contain 750074 unique relations Fri Feb 24 16:08:48 2023 read 750074 relations Fri Feb 24 16:08:49 2023 multiplying 750074 relations Fri Feb 24 16:09:03 2023 multiply complete, coefficients have about 32.75 million bits Fri Feb 24 16:09:04 2023 initial square root is modulo 2537412643 Fri Feb 24 16:09:22 2023 sqrtTime: 37 Fri Feb 24 16:09:22 2023 prp40 factor: 1437638219317926110896164436311171299503 Fri Feb 24 16:09:22 2023 prp73 factor: 4569619733150232781663698492275129030591732873947254991007222566649459423 Fri Feb 24 16:09:22 2023 elapsed time 00:00:37
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)

9×10²⁰⁴+4

c140

name 名前	Ignacio Santos
date 日付	February 22, 2023 16:03:56 UTC 2023 年 2 月 23 日 (木) 1 時 3 分 56 秒 (日本時間)
composite number 合成数	14041693392243118374900413123910955897256522891026927520751079611264138867184237092373100232875289366600842831987489301413886092539409800717<140>
prime factors 素因数	455149146550387673310353828514601<33>
composite cofactor 合成数の残り	30850751887960797851108488992821851127078644257074536302820883846987232256824676792000494180373433208552517<107>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2195844696 Step 1 took 3485ms Step 2 took 1718ms ********** Factor found in step 2: 455149146550387673310353828514601 Found prime factor of 33 digits: 455149146550387673310353828514601 Composite cofactor 30850751887960797851108488992821851127078644257074536302820883846987232256824676792000494180373433208552517 has 107 digits
software ソフトウェア	GMP-ECM

c107

name 名前	Ignacio Santos
date 日付	February 23, 2023 16:47:04 UTC 2023 年 2 月 24 日 (金) 1 時 47 分 4 秒 (日本時間)
composite number 合成数	30850751887960797851108488992821851127078644257074536302820883846987232256824676792000494180373433208552517<107>
prime factors 素因数	761294848314218995542522347666182371885109<42> 40524051826011268358177710480245195336724982377292921213834472913<65>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=1250000, q1=1400000. -> client 1 q0: 1250000 LatSieveTime: 57 LatSieveTime: 59 LatSieveTime: 60 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 72 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 75 LatSieveTime: 77 -> makeJobFile(): Adjusted to q0=1400001, q1=1550000. -> client 1 q0: 1400001 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 72 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 74 LatSieveTime: 74 LatSieveTime: 75 LatSieveTime: 76 LatSieveTime: 77 -> makeJobFile(): Adjusted to q0=1550001, q1=1700000. -> client 1 q0: 1550001 LatSieveTime: 60 LatSieveTime: 60 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 72 LatSieveTime: 74 LatSieveTime: 75 -> makeJobFile(): Adjusted to q0=1700001, q1=1850000. -> client 1 q0: 1700001 LatSieveTime: 54 LatSieveTime: 58 LatSieveTime: 59 LatSieveTime: 60 LatSieveTime: 60 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 72 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 74 LatSieveTime: 74 LatSieveTime: 75 -> makeJobFile(): Adjusted to q0=1850001, q1=2000000. -> client 1 q0: 1850001 LatSieveTime: 55 LatSieveTime: 55 LatSieveTime: 56 LatSieveTime: 57 LatSieveTime: 57 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 71 LatSieveTime: 72 LatSieveTime: 72 LatSieveTime: 72 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 75 LatSieveTime: 76 -> makeJobFile(): Adjusted to q0=2000001, q1=2150000. -> client 1 q0: 2000001 LatSieveTime: 59 LatSieveTime: 60 LatSieveTime: 61 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 72 LatSieveTime: 72 LatSieveTime: 72 LatSieveTime: 72 LatSieveTime: 74 LatSieveTime: 75 LatSieveTime: 79 LatSieveTime: 79 Thu Feb 23 17:36:55 2023 Thu Feb 23 17:36:55 2023 Thu Feb 23 17:36:55 2023 Msieve v. 1.52 (SVN 927) Thu Feb 23 17:36:55 2023 random seeds: a5850fd8 b1da1a7f Thu Feb 23 17:36:55 2023 factoring 30850751887960797851108488992821851127078644257074536302820883846987232256824676792000494180373433208552517 (107 digits) Thu Feb 23 17:36:55 2023 searching for 15-digit factors Thu Feb 23 17:36:56 2023 commencing number field sieve (107-digit input) Thu Feb 23 17:36:56 2023 R0: -348517580943911983568 Thu Feb 23 17:36:56 2023 R1: 119305380491 Thu Feb 23 17:36:56 2023 A0: 23962891207211842219079935 Thu Feb 23 17:36:56 2023 A1: 6431764488102802923110 Thu Feb 23 17:36:56 2023 A2: 410288743202273648 Thu Feb 23 17:36:56 2023 A3: -9709341316417 Thu Feb 23 17:36:56 2023 A4: -361281536 Thu Feb 23 17:36:56 2023 A5: 6000 Thu Feb 23 17:36:56 2023 skew 30946.96, size 2.849e-010, alpha -5.233, combined = 1.339e-009 rroots = 3 Thu Feb 23 17:36:56 2023 Thu Feb 23 17:36:56 2023 commencing relation filtering Thu Feb 23 17:36:56 2023 estimated available RAM is 65413.5 MB Thu Feb 23 17:36:56 2023 commencing duplicate removal, pass 1 Thu Feb 23 17:37:03 2023 found 454970 hash collisions in 4036248 relations Thu Feb 23 17:37:08 2023 added 31339 free relations Thu Feb 23 17:37:08 2023 commencing duplicate removal, pass 2 Thu Feb 23 17:37:09 2023 found 295331 duplicates and 3772256 unique relations Thu Feb 23 17:37:09 2023 memory use: 20.6 MB Thu Feb 23 17:37:09 2023 reading ideals above 100000 Thu Feb 23 17:37:09 2023 commencing singleton removal, initial pass Thu Feb 23 17:37:21 2023 memory use: 94.1 MB Thu Feb 23 17:37:21 2023 reading all ideals from disk Thu Feb 23 17:37:21 2023 memory use: 121.2 MB Thu Feb 23 17:37:21 2023 keeping 4461771 ideals with weight <= 200, target excess is 21779 Thu Feb 23 17:37:21 2023 commencing in-memory singleton removal Thu Feb 23 17:37:21 2023 begin with 3772256 relations and 4461771 unique ideals Thu Feb 23 17:37:22 2023 reduce to 846599 relations and 934868 ideals in 29 passes Thu Feb 23 17:37:22 2023 max relations containing the same ideal: 73 Thu Feb 23 17:37:22 2023 filtering wants 1000000 more relations Thu Feb 23 17:37:22 2023 elapsed time 00:00:27 -> makeJobFile(): Adjusted to q0=2150001, q1=2300000. -> client 1 q0: 2150001 LatSieveTime: 57 LatSieveTime: 59 LatSieveTime: 59 LatSieveTime: 60 LatSieveTime: 62 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 72 LatSieveTime: 72 LatSieveTime: 72 LatSieveTime: 72 LatSieveTime: 72 LatSieveTime: 72 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 74 LatSieveTime: 77 Thu Feb 23 17:38:43 2023 Thu Feb 23 17:38:43 2023 Thu Feb 23 17:38:43 2023 Msieve v. 1.52 (SVN 927) Thu Feb 23 17:38:43 2023 random seeds: 97722490 c5cb85ad Thu Feb 23 17:38:43 2023 factoring 30850751887960797851108488992821851127078644257074536302820883846987232256824676792000494180373433208552517 (107 digits) Thu Feb 23 17:38:43 2023 searching for 15-digit factors Thu Feb 23 17:38:44 2023 commencing number field sieve (107-digit input) Thu Feb 23 17:38:44 2023 R0: -348517580943911983568 Thu Feb 23 17:38:44 2023 R1: 119305380491 Thu Feb 23 17:38:44 2023 A0: 23962891207211842219079935 Thu Feb 23 17:38:44 2023 A1: 6431764488102802923110 Thu Feb 23 17:38:44 2023 A2: 410288743202273648 Thu Feb 23 17:38:44 2023 A3: -9709341316417 Thu Feb 23 17:38:44 2023 A4: -361281536 Thu Feb 23 17:38:44 2023 A5: 6000 Thu Feb 23 17:38:44 2023 skew 30946.96, size 2.849e-010, alpha -5.233, combined = 1.339e-009 rroots = 3 Thu Feb 23 17:38:44 2023 Thu Feb 23 17:38:44 2023 commencing relation filtering Thu Feb 23 17:38:44 2023 estimated available RAM is 65413.5 MB Thu Feb 23 17:38:44 2023 commencing duplicate removal, pass 1 Thu Feb 23 17:38:53 2023 found 592112 hash collisions in 4722898 relations Thu Feb 23 17:38:57 2023 added 513 free relations Thu Feb 23 17:38:57 2023 commencing duplicate removal, pass 2 Thu Feb 23 17:38:58 2023 found 384580 duplicates and 4338831 unique relations Thu Feb 23 17:38:58 2023 memory use: 20.6 MB Thu Feb 23 17:38:58 2023 reading ideals above 100000 Thu Feb 23 17:38:58 2023 commencing singleton removal, initial pass Thu Feb 23 17:39:13 2023 memory use: 94.1 MB Thu Feb 23 17:39:13 2023 reading all ideals from disk Thu Feb 23 17:39:13 2023 memory use: 139.6 MB Thu Feb 23 17:39:13 2023 keeping 4752076 ideals with weight <= 200, target excess is 23728 Thu Feb 23 17:39:14 2023 commencing in-memory singleton removal Thu Feb 23 17:39:14 2023 begin with 4338831 relations and 4752076 unique ideals Thu Feb 23 17:39:15 2023 reduce to 1555390 relations and 1479744 ideals in 15 passes Thu Feb 23 17:39:15 2023 max relations containing the same ideal: 96 Thu Feb 23 17:39:15 2023 removing 208073 relations and 184012 ideals in 24061 cliques Thu Feb 23 17:39:15 2023 commencing in-memory singleton removal Thu Feb 23 17:39:15 2023 begin with 1347317 relations and 1479744 unique ideals Thu Feb 23 17:39:15 2023 reduce to 1324713 relations and 1272658 ideals in 8 passes Thu Feb 23 17:39:15 2023 max relations containing the same ideal: 91 Thu Feb 23 17:39:15 2023 removing 157075 relations and 133014 ideals in 24061 cliques Thu Feb 23 17:39:15 2023 commencing in-memory singleton removal Thu Feb 23 17:39:15 2023 begin with 1167638 relations and 1272658 unique ideals Thu Feb 23 17:39:15 2023 reduce to 1151991 relations and 1123712 ideals in 7 passes Thu Feb 23 17:39:15 2023 max relations containing the same ideal: 87 Thu Feb 23 17:39:16 2023 relations with 0 large ideals: 85 Thu Feb 23 17:39:16 2023 relations with 1 large ideals: 207 Thu Feb 23 17:39:16 2023 relations with 2 large ideals: 3450 Thu Feb 23 17:39:16 2023 relations with 3 large ideals: 26850 Thu Feb 23 17:39:16 2023 relations with 4 large ideals: 111236 Thu Feb 23 17:39:16 2023 relations with 5 large ideals: 258351 Thu Feb 23 17:39:16 2023 relations with 6 large ideals: 346546 Thu Feb 23 17:39:16 2023 relations with 7+ large ideals: 405266 Thu Feb 23 17:39:16 2023 commencing 2-way merge Thu Feb 23 17:39:16 2023 reduce to 660688 relation sets and 632410 unique ideals Thu Feb 23 17:39:16 2023 ignored 1 oversize relation sets Thu Feb 23 17:39:16 2023 commencing full merge Thu Feb 23 17:39:23 2023 memory use: 76.7 MB Thu Feb 23 17:39:23 2023 found 324051 cycles, need 320610 Thu Feb 23 17:39:23 2023 weight of 320610 cycles is about 22486338 (70.14/cycle) Thu Feb 23 17:39:23 2023 distribution of cycle lengths: Thu Feb 23 17:39:23 2023 1 relations: 38026 Thu Feb 23 17:39:23 2023 2 relations: 34336 Thu Feb 23 17:39:23 2023 3 relations: 33783 Thu Feb 23 17:39:23 2023 4 relations: 30544 Thu Feb 23 17:39:23 2023 5 relations: 28155 Thu Feb 23 17:39:23 2023 6 relations: 24821 Thu Feb 23 17:39:23 2023 7 relations: 21611 Thu Feb 23 17:39:23 2023 8 relations: 18691 Thu Feb 23 17:39:23 2023 9 relations: 16279 Thu Feb 23 17:39:23 2023 10+ relations: 74364 Thu Feb 23 17:39:23 2023 heaviest cycle: 24 relations Thu Feb 23 17:39:23 2023 commencing cycle optimization Thu Feb 23 17:39:23 2023 start with 2059431 relations Thu Feb 23 17:39:26 2023 pruned 48433 relations Thu Feb 23 17:39:26 2023 memory use: 67.2 MB Thu Feb 23 17:39:26 2023 distribution of cycle lengths: Thu Feb 23 17:39:26 2023 1 relations: 38026 Thu Feb 23 17:39:26 2023 2 relations: 35067 Thu Feb 23 17:39:26 2023 3 relations: 34823 Thu Feb 23 17:39:26 2023 4 relations: 31239 Thu Feb 23 17:39:26 2023 5 relations: 28870 Thu Feb 23 17:39:26 2023 6 relations: 25083 Thu Feb 23 17:39:26 2023 7 relations: 21857 Thu Feb 23 17:39:26 2023 8 relations: 18909 Thu Feb 23 17:39:26 2023 9 relations: 16347 Thu Feb 23 17:39:26 2023 10+ relations: 70389 Thu Feb 23 17:39:26 2023 heaviest cycle: 24 relations Thu Feb 23 17:39:26 2023 RelProcTime: 42 Thu Feb 23 17:39:26 2023 elapsed time 00:00:43 Thu Feb 23 17:39:26 2023 Thu Feb 23 17:39:26 2023 Thu Feb 23 17:39:26 2023 Msieve v. 1.52 (SVN 927) Thu Feb 23 17:39:26 2023 random seeds: 5b051094 64c1418f Thu Feb 23 17:39:26 2023 factoring 30850751887960797851108488992821851127078644257074536302820883846987232256824676792000494180373433208552517 (107 digits) Thu Feb 23 17:39:27 2023 searching for 15-digit factors Thu Feb 23 17:39:27 2023 commencing number field sieve (107-digit input) Thu Feb 23 17:39:27 2023 R0: -348517580943911983568 Thu Feb 23 17:39:27 2023 R1: 119305380491 Thu Feb 23 17:39:27 2023 A0: 23962891207211842219079935 Thu Feb 23 17:39:27 2023 A1: 6431764488102802923110 Thu Feb 23 17:39:27 2023 A2: 410288743202273648 Thu Feb 23 17:39:27 2023 A3: -9709341316417 Thu Feb 23 17:39:27 2023 A4: -361281536 Thu Feb 23 17:39:27 2023 A5: 6000 Thu Feb 23 17:39:27 2023 skew 30946.96, size 2.849e-010, alpha -5.233, combined = 1.339e-009 rroots = 3 Thu Feb 23 17:39:27 2023 Thu Feb 23 17:39:27 2023 commencing linear algebra Thu Feb 23 17:39:27 2023 read 320610 cycles Thu Feb 23 17:39:27 2023 cycles contain 1118417 unique relations Thu Feb 23 17:39:29 2023 read 1118417 relations Thu Feb 23 17:39:30 2023 using 20 quadratic characters above 67108778 Thu Feb 23 17:39:33 2023 building initial matrix Thu Feb 23 17:39:38 2023 memory use: 142.0 MB Thu Feb 23 17:39:39 2023 read 320610 cycles Thu Feb 23 17:39:39 2023 matrix is 320433 x 320610 (96.8 MB) with weight 30757462 (95.93/col) Thu Feb 23 17:39:39 2023 sparse part has weight 21519363 (67.12/col) Thu Feb 23 17:39:40 2023 filtering completed in 2 passes Thu Feb 23 17:39:40 2023 matrix is 320045 x 320222 (96.7 MB) with weight 30740608 (96.00/col) Thu Feb 23 17:39:40 2023 sparse part has weight 21514551 (67.19/col) Thu Feb 23 17:39:40 2023 matrix starts at (0, 0) Thu Feb 23 17:39:40 2023 matrix is 320045 x 320222 (96.7 MB) with weight 30740608 (96.00/col) Thu Feb 23 17:39:40 2023 sparse part has weight 21514551 (67.19/col) Thu Feb 23 17:39:40 2023 saving the first 48 matrix rows for later Thu Feb 23 17:39:41 2023 matrix includes 64 packed rows Thu Feb 23 17:39:41 2023 matrix is 319997 x 320222 (92.5 MB) with weight 24322037 (75.95/col) Thu Feb 23 17:39:41 2023 sparse part has weight 21037636 (65.70/col) Thu Feb 23 17:39:41 2023 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Thu Feb 23 17:39:42 2023 commencing Lanczos iteration (32 threads) Thu Feb 23 17:39:42 2023 memory use: 71.2 MB Thu Feb 23 17:39:46 2023 linear algebra at 3.8%, ETA 0h 1m Thu Feb 23 17:41:35 2023 lanczos halted after 5062 iterations (dim = 319995) Thu Feb 23 17:41:35 2023 recovered 32 nontrivial dependencies Thu Feb 23 17:41:35 2023 BLanczosTime: 128 Thu Feb 23 17:41:35 2023 elapsed time 00:02:09 Thu Feb 23 17:41:35 2023 Thu Feb 23 17:41:35 2023 Thu Feb 23 17:41:35 2023 Msieve v. 1.52 (SVN 927) Thu Feb 23 17:41:35 2023 random seeds: bf1e3778 e3c3325a Thu Feb 23 17:41:35 2023 factoring 30850751887960797851108488992821851127078644257074536302820883846987232256824676792000494180373433208552517 (107 digits) Thu Feb 23 17:41:35 2023 searching for 15-digit factors Thu Feb 23 17:41:36 2023 commencing number field sieve (107-digit input) Thu Feb 23 17:41:36 2023 R0: -348517580943911983568 Thu Feb 23 17:41:36 2023 R1: 119305380491 Thu Feb 23 17:41:36 2023 A0: 23962891207211842219079935 Thu Feb 23 17:41:36 2023 A1: 6431764488102802923110 Thu Feb 23 17:41:36 2023 A2: 410288743202273648 Thu Feb 23 17:41:36 2023 A3: -9709341316417 Thu Feb 23 17:41:36 2023 A4: -361281536 Thu Feb 23 17:41:36 2023 A5: 6000 Thu Feb 23 17:41:36 2023 skew 30946.96, size 2.849e-010, alpha -5.233, combined = 1.339e-009 rroots = 3 Thu Feb 23 17:41:36 2023 Thu Feb 23 17:41:36 2023 commencing square root phase Thu Feb 23 17:41:36 2023 reading relations for dependency 1 Thu Feb 23 17:41:36 2023 read 159663 cycles Thu Feb 23 17:41:36 2023 cycles contain 557932 unique relations Thu Feb 23 17:41:37 2023 read 557932 relations Thu Feb 23 17:41:38 2023 multiplying 557932 relations Thu Feb 23 17:41:48 2023 multiply complete, coefficients have about 22.43 million bits Thu Feb 23 17:41:49 2023 initial square root is modulo 2774699 Thu Feb 23 17:42:02 2023 sqrtTime: 26 Thu Feb 23 17:42:02 2023 prp42 factor: 761294848314218995542522347666182371885109 Thu Feb 23 17:42:02 2023 prp65 factor: 40524051826011268358177710480245195336724982377292921213834472913 Thu Feb 23 17:42:02 2023 elapsed time 00:00:27
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)

9×10²⁰⁵+4

c187

name 名前	Dmitry Domanov
date 日付	April 25, 2023 08:12:28 UTC 2023 年 4 月 25 日 (火) 17 時 12 分 28 秒 (日本時間)
composite number 合成数	2820273729626845958787723920023311628584200308105111630482516592631476610348889504990417421579522839988243060971680295228864405829274021599542833751999239953079031720188173757049943834169<187>
prime factors 素因数	29447195849810525320563261885567056644117556851<47>
composite cofactor 合成数の残り	95773931888492285550873326569967746415440279405837216625359928607890050692370991329349434036641956687352787348362364521457568340126835354019<140>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2656774727 Step 1 took 121715ms Step 2 took 41286ms ********** Factor found in step 2: 29447195849810525320563261885567056644117556851 Found prime factor of 47 digits: 29447195849810525320563261885567056644117556851 Composite cofactor 95773931888492285550873326569967746415440279405837216625359928607890050692370991329349434036641956687352787348362364521457568340126835354019 has 140 digits

c140

name 名前	Ignacio Santos
date 日付	April 28, 2023 12:40:45 UTC 2023 年 4 月 28 日 (金) 21 時 40 分 45 秒 (日本時間)
composite number 合成数	95773931888492285550873326569967746415440279405837216625359928607890050692370991329349434036641956687352787348362364521457568340126835354019<140>
prime factors 素因数	9535601826241945770346885867675616647240403411<46> 10043826664922473050753206367150369075420938797194652780966756730735513330112481158224591974129<95>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1733936055 Step 1 took 81766ms Step 2 took 28125ms ********** Factor found in step 2: 9535601826241945770346885867675616647240403411 Found prime factor of 46 digits: 9535601826241945770346885867675616647240403411 Prime cofactor 10043826664922473050753206367150369075420938797194652780966756730735513330112481158224591974129 has 95 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 7, 2023 14:52:23 UTC 2023 年 3 月 7 日 (火) 23 時 52 分 23 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:10:03 UTC 2023 年 3 月 22 日 (水) 15 時 10 分 3 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:51:00 UTC 2023 年 4 月 9 日 (日) 8 時 51 分 0 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:01:46 UTC 2023 年 4 月 17 日 (月) 6 時 1 分 46 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	April 23, 2023 21:56:58 UTC 2023 年 4 月 24 日 (月) 6 時 56 分 58 秒 (日本時間)

9×10²⁰⁶+4

c188

name 名前	Dmitry Domanov
date 日付	March 24, 2023 06:09:36 UTC 2023 年 3 月 24 日 (金) 15 時 9 分 36 秒 (日本時間)
composite number 合成数	90685947756347808108801001864507993198437451549165190220531350407595549180599949114314451426009387896102003266835380867468225914165457305046394284852156420263714929661746793313611514017917<188>
prime factors 素因数	17994464186983591714270079796914758509871701233<47>
composite cofactor 合成数の残り	5039658131190483346810347067721164451201635373752372476620213466017417051883802239443835572547409786629453476867541522991339402302798524777549<142>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1415708075 Step 1 took 30551ms Step 2 took 13736ms ********** Factor found in step 2: 17994464186983591714270079796914758509871701233 Found prime factor of 47 digits: 17994464186983591714270079796914758509871701233 Composite cofactor 5039658131190483346810347067721164451201635373752372476620213466017417051883802239443835572547409786629453476867541522991339402302798524777549 has 142 digits

c142

name 名前	Ignacio Santos
date 日付	November 26, 2023 18:27:15 UTC 2023 年 11 月 27 日 (月) 3 時 27 分 15 秒 (日本時間)
composite number 合成数	5039658131190483346810347067721164451201635373752372476620213466017417051883802239443835572547409786629453476867541522991339402302798524777549<142>
prime factors 素因数	240228428153014999176899015719092215728707015907463186502628489<63> 20978608443378905984907985274038463509574724218864541004052049774269905510885541<80>
factorization results 素因数分解の結果	N=5039658131190483346810347067721164451201635373752372476620213466017417051883802239443835572547409786629453476867541522991339402302798524777549 ( 142 digits) Divisors found: r1=240228428153014999176899015719092215728707015907463186502628489 (pp63) r2=20978608443378905984907985274038463509574724218864541004052049774269905510885541 (pp80) Version: Msieve v. 1.52 (SVN 927) Total time: 423.43 hours. Scaled time: 3320.97 units (timescale=7.843). Factorization parameters were as follows: # Murphy_E = 1.579e-11, selected by Dmitry Domanov n: 5039658131190483346810347067721164451201635373752372476620213466017417051883802239443835572547409786629453476867541522991339402302798524777549 Y0: -3048157414470164875642609955 Y1: 10231626329249 c0: -569280672321436610426285574347571264 c1: 802816265686848356375182953792 c2: 747416848566807271368013 c3: -518145818741716684 c4: -168059965364 c5: 19152 skew: 2362590.87 type: gnfs # selected mechanically rlim: 20000000 alim: 20000000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6Factor base limits: 20000000/20000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved algebraic special-q in [10000000, 18200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2408416 x 2408644 Total sieving time: 422.00 hours. Total relation processing time: 0.08 hours. Matrix solve time: 1.17 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: gnfs,141,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,56,56,2.6,2.6,100000 total time: 423.43 hours.
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	1792		Dmitry Domanov	March 7, 2023 14:52:27 UTC 2023 年 3 月 7 日 (火) 23 時 52 分 27 秒 (日本時間)
45	11e6	5480	1000	Dmitry Domanov	March 22, 2023 06:10:11 UTC 2023 年 3 月 22 日 (水) 15 時 10 分 11 秒 (日本時間)
45	11e6	5480	4480	Ignacio Santos	March 27, 2023 13:12:05 UTC 2023 年 3 月 27 日 (月) 22 時 12 分 5 秒 (日本時間)
50	43e6	6454		Ignacio Santos	April 5, 2023 14:35:29 UTC 2023 年 4 月 5 日 (水) 23 時 35 分 29 秒 (日本時間)

9×10²⁰⁷+4

c190

name 名前	Bob Backstrom
date 日付	July 4, 2024 08:43:37 UTC 2024 年 7 月 4 日 (木) 17 時 43 分 37 秒 (日本時間)
composite number 合成数	7665349207753974967755935525998495776635903559245378296103723068912333709920924877901147218929745692474683362270977510079760578132242680922840176495429402901596039355661246193196792692396917<190>
prime factors 素因数	42815319168814409119608202613429232500127365923666865961080301263345567184293<77> 179032863857224743384658211623819305888539273419605602064172682346796294261495808457420121958251595179178012269969<114>
factorization results 素因数分解の結果	Number: n N=7665349207753974967755935525998495776635903559245378296103723068912333709920924877901147218929745692474683362270977510079760578132242680922840176495429402901596039355661246193196792692396917 ( 190 digits) SNFS difficulty: 207 digits. Divisors found: Mon Jul 1 19:37:11 2024 prp77 factor: 42815319168814409119608202613429232500127365923666865961080301263345567184293 Mon Jul 1 19:37:11 2024 prp114 factor: 179032863857224743384658211623819305888539273419605602064172682346796294261495808457420121958251595179178012269969 Mon Jul 1 19:37:11 2024 elapsed time 03:01:44 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.925). Factorization parameters were as follows: # # N = 9x10^207+4 = 90(206)4 # n: 7665349207753974967755935525998495776635903559245378296103723068912333709920924877901147218929745692474683362270977510079760578132242680922840176495429402901596039355661246193196792692396917 m: 100000000000000000000000000000000000000000 deg: 5 c5: 225 c0: 1 skew: 0.34 # Murphy_E = 8.099e-12 type: snfs lss: 1 rlim: 20000000 alim: 20000000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 20000000/20000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 42800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 5841831 hash collisions in 23182209 relations (16731309 unique) Msieve: matrix is 2384124 x 2384350 (668.3 MB) Sieving start time: 2024/06/30 21:23:05 Sieving end time : 2024/07/01 16:28:39 Total sieving time: 19hrs 5min 34secs. Total relation processing time: 2hrs 52min 53sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 5sec. Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000 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 7, 2023 14:52:30 UTC 2023 年 3 月 7 日 (火) 23 時 52 分 30 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:10:18 UTC 2023 年 3 月 22 日 (水) 15 時 10 分 18 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:51:11 UTC 2023 年 4 月 9 日 (日) 8 時 51 分 11 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:01:57 UTC 2023 年 4 月 17 日 (月) 6 時 1 分 57 秒 (日本時間)
50	43e6	3000 / 6806	1000	Dmitry Domanov	April 25, 2023 08:13:33 UTC 2023 年 4 月 25 日 (火) 17 時 13 分 33 秒 (日本時間)
			1000	Dmitry Domanov	May 12, 2023 08:53:56 UTC 2023 年 5 月 12 日 (金) 17 時 53 分 56 秒 (日本時間)
			1000	Dmitry Domanov	May 18, 2023 23:24:58 UTC 2023 年 5 月 19 日 (金) 8 時 24 分 58 秒 (日本時間)

9×10²⁰⁸+4

c167

name 名前	Dmitry Domanov
date 日付	February 23, 2023 18:48:31 UTC 2023 年 2 月 24 日 (金) 3 時 48 分 31 秒 (日本時間)
composite number 合成数	35908155993541276125915496261201576123150986225251911304438848636294470397099506893132484355110933743581676927800442193895332295748683033243267887639547226768606204497<167>
prime factors 素因数	593972255186916226483506887965836769<36>
composite cofactor 合成数の残り	60454264790939423721665865943861535553903017497374547618059708385279791077457718551361882593535257876321259222121843994394762918513<131>
factorization results 素因数分解の結果	Resuming ECM residue saved by @04c39b586e47 with GMP-ECM 7.0.5-dev on Wed Feb 22 12:32:37 2023 Input number is 35908155993541276125915496261201576123150986225251911304438848636294470397099506893132484355110933743581676927800442193895332295748683033243267887639547226768606204497 (167 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1585942978 Step 1 took 0ms Step 2 took 4137ms ********** Factor found in step 2: 593972255186916226483506887965836769 Found prime factor of 36 digits: 593972255186916226483506887965836769 Composite cofactor 60454264790939423721665865943861535553903017497374547618059708385279791077457718551361882593535257876321259222121843994394762918513 has 131 digits

c131

name 名前	Ignacio Santos
date 日付	March 5, 2023 16:09:22 UTC 2023 年 3 月 6 日 (月) 1 時 9 分 22 秒 (日本時間)
composite number 合成数	60454264790939423721665865943861535553903017497374547618059708385279791077457718551361882593535257876321259222121843994394762918513<131>
prime factors 素因数	104504235144898495326044133603032914560162207961<48> 578486266198854373534914092528649337903299067650091038106897645685080987009402367833<84>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:584249967 Step 1 took 16313ms Step 2 took 8078ms ********** Factor found in step 2: 104504235144898495326044133603032914560162207961 Found prime factor of 48 digits: 104504235144898495326044133603032914560162207961 Prime cofactor 578486266198854373534914092528649337903299067650091038106897645685080987009402367833 has 84 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 25, 2023 19:43:42 UTC 2023 年 2 月 26 日 (日) 4 時 43 分 42 秒 (日本時間)

9×10²⁰⁹+4

c199

name 名前	Bob Backstrom
date 日付	December 19, 2024 06:44:01 UTC 2024 年 12 月 19 日 (木) 15 時 44 分 1 秒 (日本時間)
composite number 合成数	1312942133616895747274775886087767231620538896317863426767855647761064683721263046032391377686821382928070449962163721414668791396284381783065326678700802926402432140046481970499410406847263783922291<199>
prime factors 素因数	1571172226748223419569415067635723966122520834390423604506135082245809649<73> 835644947934337165902422411946330373000016944039194801742724051619842211168621641010872759389246549819726702803294094074897059<126>
factorization results 素因数分解の結果	12/17/24 22:11:15 v1.34.5 @ TRIGKEY, 12/17/24 22:11:15 v1.34.5 @ TRIGKEY, ************************** 12/17/24 22:11:15 v1.34.5 @ TRIGKEY, Starting factorization of 900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 12/17/24 22:11:15 v1.34.5 @ TRIGKEY, using pretesting plan: normal 12/17/24 22:11:15 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits 12/17/24 22:11:15 v1.34.5 @ TRIGKEY, ************************** 12/17/24 22:11:15 v1.34.5 @ TRIGKEY, div: found prime factor = 2 12/17/24 22:11:15 v1.34.5 @ TRIGKEY, div: found prime factor = 2 12/17/24 22:11:15 v1.34.5 @ TRIGKEY, div: found prime factor = 7 12/17/24 22:11:15 v1.34.5 @ TRIGKEY, div: found prime factor = 7 12/17/24 22:11:15 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C208 12/17/24 22:11:15 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C208 12/17/24 22:11:15 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C208 12/17/24 22:11:15 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C208 12/17/24 22:11:16 v1.34.5 @ TRIGKEY, prp10 = 3497364139 12/17/24 22:11:16 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00 12/17/24 22:11:16 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 61.23 12/17/24 22:11:16 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C199 input, B1=2K, B2=gmp-ecm default 12/17/24 22:11:16 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18 12/17/24 22:11:16 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 61.23 12/17/24 22:11:18 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C199 input, B1=11K, B2=gmp-ecm default 12/17/24 22:11:18 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24 12/17/24 22:11:18 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 61.23 12/17/24 22:12:01 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c210: 900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 12/17/24 22:12:01 v1.34.5 @ TRIGKEY, nfs: input divides 910^209 + 4 12/17/24 22:12:01 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 1312942133616895747274775886087767231620538896317863426767855647761064683721263046032391377686821382928070449962163721414668791396284381783065326678700802926402432140046481970499410406847263783922291 12/17/24 22:12:01 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c199: 1312942133616895747274775886087767231620538896317863426767855647761064683721263046032391377686821382928070449962163721414668791396284381783065326678700802926402432140046481970499410406847263783922291 12/17/24 22:12:01 v1.34.5 @ TRIGKEY, gen: best 3 polynomials: n: 1312942133616895747274775886087767231620538896317863426767855647761064683721263046032391377686821382928070449962163721414668791396284381783065326678700802926402432140046481970499410406847263783922291 # 910^209+4, difficulty: 210.65, anorm: 2.68e+031, rnorm: 6.09e+047 # scaled difficulty: 213.38, suggest sieving rational side # size = 2.145e-014, alpha = -0.024, combined = 7.238e-012, rroots = 1 type: snfs size: 210 skew: 0.6738 c5: 36 c0: 5 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 n: 1312942133616895747274775886087767231620538896317863426767855647761064683721263046032391377686821382928070449962163721414668791396284381783065326678700802926402432140046481970499410406847263783922291 # 910^209+4, difficulty: 210.00, anorm: 3.79e+031, rnorm: 8.61e+047 # scaled difficulty: 212.73, suggest sieving rational side # size = 1.839e-014, alpha = -0.255, combined = 6.581e-012, rroots = 1 type: snfs size: 210 skew: 1.3476 c5: 9 c0: 40 Y1: -1 Y0: 1000000000000000000000000000000000000000000 m: 1000000000000000000000000000000000000000000 n: 1312942133616895747274775886087767231620538896317863426767855647761064683721263046032391377686821382928070449962163721414668791396284381783065326678700802926402432140046481970499410406847263783922291 # 910^209+4, difficulty: 210.65, anorm: 3.79e+037, rnorm: 6.24e+040 # scaled difficulty: 210.65, suggest sieving algebraic side # size = 2.166e-010, alpha = -0.352, combined = 5.792e-012, rroots = 0 type: snfs size: 210 skew: 0.6411 c6: 72 c0: 5 Y1: -1 Y0: 50000000000000000000000000000000000 m: 50000000000000000000000000000000000 12/17/24 22:12:03 v1.34.5 @ TRIGKEY, test: fb generation took 1.5672 seconds 12/17/24 22:12:03 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000 skew: 0.6738 c5: 36 c0: 5 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 rlim: 21400000 alim: 21400000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 12/17/24 22:14:59 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file 12/17/24 22:15:00 v1.34.5 @ TRIGKEY, test: fb generation took 1.5370 seconds 12/17/24 22:15:00 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000 skew: 1.3476 c5: 9 c0: 40 Y1: -1 Y0: 1000000000000000000000000000000000000000000 m: 1000000000000000000000000000000000000000000 rlim: 21400000 alim: 21400000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 12/17/24 22:17:56 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file 12/17/24 22:17:58 v1.34.5 @ TRIGKEY, test: fb generation took 2.2901 seconds 12/17/24 22:17:58 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000 skew: 0.6411 c6: 72 c0: 5 Y1: -1 Y0: 50000000000000000000000000000000000 m: 50000000000000000000000000000000000 rlim: 21400000 alim: 21400000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 12/17/24 22:20:40 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file 12/17/24 22:20:40 v1.34.5 @ TRIGKEY, gen: selected polynomial: n: 1312942133616895747274775886087767231620538896317863426767855647761064683721263046032391377686821382928070449962163721414668791396284381783065326678700802926402432140046481970499410406847263783922291 # 9*10^209+4, difficulty: 210.65, anorm: 2.68e+031, rnorm: 6.09e+047 # scaled difficulty: 213.38, suggest sieving rational side # size = 2.145e-014, alpha = -0.024, combined = 7.238e-012, rroots = 1 type: snfs size: 210 skew: 0.6738 c5: 36 c0: 5 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 12/19/24 05:56:50 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering 12/19/24 05:58:45 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22216381 12/19/24 07:57:14 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering 12/19/24 07:59:16 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23504448 12/19/24 09:57:15 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering 12/19/24 09:59:22 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24780101 12/19/24 11:56:36 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering 12/19/24 11:58:50 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 26039228 12/19/24 14:12:47 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering 12/19/24 14:16:49 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra 12/19/24 16:53:22 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt 12/19/24 16:59:15 v1.34.5 @ TRIGKEY, prp126 = 835644947934337165902422411946330373000016944039194801742724051619842211168621641010872759389246549819726702803294094074897059 12/19/24 16:59:15 v1.34.5 @ TRIGKEY, prp73 = 1571172226748223419569415067635723966122520834390423604506135082245809649 12/19/24 16:59:15 v1.34.5 @ TRIGKEY, NFS elapsed time = 154033.8881 seconds. 12/19/24 16:59:15 v1.34.5 @ TRIGKEY, 12/19/24 16:59:15 v1.34.5 @ TRIGKEY, 12/17/24 22:20:40 v1.34.5 @ TRIGKEY, test: test sieving took 518.66 seconds
software ソフトウェア	YAFU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	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 7, 2023 14:52:34 UTC 2023 年 3 月 7 日 (火) 23 時 52 分 34 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:10:26 UTC 2023 年 3 月 22 日 (水) 15 時 10 分 26 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:51:19 UTC 2023 年 4 月 9 日 (日) 8 時 51 分 19 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:02:05 UTC 2023 年 4 月 17 日 (月) 6 時 2 分 5 秒 (日本時間)
50	43e6	3000 / 6806	1000	Dmitry Domanov	April 26, 2023 06:37:10 UTC 2023 年 4 月 26 日 (水) 15 時 37 分 10 秒 (日本時間)
			1000	Dmitry Domanov	May 12, 2023 23:52:52 UTC 2023 年 5 月 13 日 (土) 8 時 52 分 52 秒 (日本時間)
			1000	Dmitry Domanov	May 20, 2023 08:04:58 UTC 2023 年 5 月 20 日 (土) 17 時 4 分 58 秒 (日本時間)

9×10²¹⁰+4

c154

composite cofactor 合成数の残り	2890652147482878616277175640459880489735984848769477557518670048970363795464658372805595915486624229653925968724325292213653841420315168310001798124330441<154>

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 7, 2023 14:52:38 UTC 2023 年 3 月 7 日 (火) 23 時 52 分 38 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:10:33 UTC 2023 年 3 月 22 日 (水) 15 時 10 分 33 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:51:27 UTC 2023 年 4 月 9 日 (日) 8 時 51 分 27 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:02:14 UTC 2023 年 4 月 17 日 (月) 6 時 2 分 14 秒 (日本時間)
50	43e6	3000 / 6806	1000	Dmitry Domanov	April 29, 2023 00:02:52 UTC 2023 年 4 月 29 日 (土) 9 時 2 分 52 秒 (日本時間)
			1000	Dmitry Domanov	May 14, 2023 23:16:42 UTC 2023 年 5 月 15 日 (月) 8 時 16 分 42 秒 (日本時間)
			1000	Dmitry Domanov	May 18, 2023 10:35:15 UTC 2023 年 5 月 18 日 (木) 19 時 35 分 15 秒 (日本時間)

9×10²¹²+4

c172

composite cofactor 合成数の残り	9440917412279355163574015289823742525814049851034780276216411778488979668854488409397214551539430419477659561622760863300502951764328124739071293993783307583689524616314177<172>

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 7, 2023 14:52:41 UTC 2023 年 3 月 7 日 (火) 23 時 52 分 41 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:10:40 UTC 2023 年 3 月 22 日 (水) 15 時 10 分 40 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:51:33 UTC 2023 年 4 月 9 日 (日) 8 時 51 分 33 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:02:23 UTC 2023 年 4 月 17 日 (月) 6 時 2 分 23 秒 (日本時間)
50	43e6	3000 / 6806	1000	Dmitry Domanov	April 29, 2023 19:48:45 UTC 2023 年 4 月 30 日 (日) 4 時 48 分 45 秒 (日本時間)
			1000	Dmitry Domanov	May 14, 2023 17:41:33 UTC 2023 年 5 月 15 日 (月) 2 時 41 分 33 秒 (日本時間)
			1000	Dmitry Domanov	May 20, 2023 08:04:35 UTC 2023 年 5 月 20 日 (土) 17 時 4 分 35 秒 (日本時間)

9×10²¹⁴+4

c214

name 名前	Dmitry Domanov
date 日付	February 23, 2023 18:52:36 UTC 2023 年 2 月 24 日 (金) 3 時 52 分 36 秒 (日本時間)
composite number 合成数	1323529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882353<214>
prime factors 素因数	3004603328878335284856980278819250439637<40> 440500547624301475970306364564302191065512937375102128640960488852468886126745562017599315392561126884491196919738331855780901740269947617942470204686553341418901442336260269<174>
factorization results 素因数分解の結果	Resuming ECM residue saved by @04c39b586e47 with GMP-ECM 7.0.5-dev on Wed Feb 22 16:26:41 2023 Input number is 1323529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882353 (214 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2705403099 Step 1 took 0ms Step 2 took 5447ms ********** Factor found in step 2: 3004603328878335284856980278819250439637 Found prime factor of 40 digits: 3004603328878335284856980278819250439637 Prime cofactor 440500547624301475970306364564302191065512937375102128640960488852468886126745562017599315392561126884491196919738331855780901740269947617942470204686553341418901442336260269 has 174 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)

9×10²¹⁵+4

c206

composite cofactor 合成数の残り

24274258021590742249642804320183690029563997522920501801419065809299110952570453781526236703776382386572012295266415759599795490821835020171284297796773909702440685081569691692921818321736574299593868435531<206>

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 7, 2023 14:52:45 UTC 2023 年 3 月 7 日 (火) 23 時 52 分 45 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 30, 2023 16:16:28 UTC 2023 年 3 月 31 日 (金) 1 時 16 分 28 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:34:47 UTC 2023 年 4 月 13 日 (木) 18 時 34 分 47 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 21, 2023 09:41:06 UTC 2023 年 4 月 21 日 (金) 18 時 41 分 6 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 13, 2023 08:42:48 UTC 2023 年 5 月 13 日 (土) 17 時 42 分 48 秒 (日本時間)

9×10²¹⁶+4

c159

name 名前	Dmitry Domanov
date 日付	February 22, 2023 16:31:26 UTC 2023 年 2 月 23 日 (木) 1 時 31 分 26 秒 (日本時間)
composite number 合成数	391870072334082637505726308280583751338953270278798778109223874120445097736131054427484404505269426497297936498898971146159836281014681517264041120074571582481<159>
prime factors 素因数	9006842487843332746602118218579181<34> 43508041010264742046361284949678022797724758041025018895629299306113198490582103925917557225748390927640443254840831243029301<125>
factorization results 素因数分解の結果	GPU: factor 9006842487843332746602118218579181 found in Step 1 with curve 1660 (-sigma 3:-926334002) Computing 1792 Step 1 took 253ms of CPU time / 178507ms of GPU time Throughput: 10.039 curves per second (on average 99.61ms per Step 1) ********** Factor found in step 1: 9006842487843332746602118218579181 Found prime factor of 34 digits: 9006842487843332746602118218579181 Prime cofactor 43508041010264742046361284949678022797724758041025018895629299306113198490582103925917557225748390927640443254840831243029301 has 125 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)

9×10²¹⁷+4

c189

composite cofactor 合成数の残り	740143581156407953809691790788880411688380995641020648888558633814882983207785689236631589971212372237090985806987890294754405747224498550796425935000023292900470103488548455506016227852013<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 7, 2023 14:52:48 UTC 2023 年 3 月 7 日 (火) 23 時 52 分 48 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:38:41 UTC 2023 年 3 月 22 日 (水) 15 時 38 分 41 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:52:02 UTC 2023 年 4 月 9 日 (日) 8 時 52 分 2 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:02:36 UTC 2023 年 4 月 17 日 (月) 6 時 2 分 36 秒 (日本時間)
50	43e6	3000 / 6806	1000	Dmitry Domanov	April 27, 2023 05:02:56 UTC 2023 年 4 月 27 日 (木) 14 時 2 分 56 秒 (日本時間)
			1000	Dmitry Domanov	May 12, 2023 08:55:35 UTC 2023 年 5 月 12 日 (金) 17 時 55 分 35 秒 (日本時間)
			1000	Dmitry Domanov	May 18, 2023 23:24:45 UTC 2023 年 5 月 19 日 (金) 8 時 24 分 45 秒 (日本時間)

9×10²¹⁸+4

c205

composite cofactor 合成数の残り

6403783717991188343250210451184939425937694716687234434267504503501313315969072981225917548945034324906959707885157366413760881469735893456323269803734938655026207940469902257410370101040497138634429409353<205>

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 7, 2023 14:52:52 UTC 2023 年 3 月 7 日 (火) 23 時 52 分 52 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 30, 2023 16:16:40 UTC 2023 年 3 月 31 日 (金) 1 時 16 分 40 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:34:55 UTC 2023 年 4 月 13 日 (木) 18 時 34 分 55 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 21, 2023 09:41:16 UTC 2023 年 4 月 21 日 (金) 18 時 41 分 16 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 13, 2023 08:42:39 UTC 2023 年 5 月 13 日 (土) 17 時 42 分 39 秒 (日本時間)

9×10²²⁰+4

c204

composite cofactor 合成数の残り

284418261152564465034424644053487247938929062592389916587928168856028400310519149843513625827942744979514831906456322794480195792656775297156413178247767271820315887788057074172694882176555205237023568977<204>

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 7, 2023 14:52:56 UTC 2023 年 3 月 7 日 (火) 23 時 52 分 56 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 31, 2023 23:58:15 UTC 2023 年 4 月 1 日 (土) 8 時 58 分 15 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:35:02 UTC 2023 年 4 月 13 日 (木) 18 時 35 分 2 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 21, 2023 09:41:25 UTC 2023 年 4 月 21 日 (金) 18 時 41 分 25 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 13, 2023 08:42:29 UTC 2023 年 5 月 13 日 (土) 17 時 42 分 29 秒 (日本時間)

9×10²²²+4

c181

name 名前	Dmitry Domanov
date 日付	May 1, 2023 10:36:55 UTC 2023 年 5 月 1 日 (月) 19 時 36 分 55 秒 (日本時間)
composite number 合成数	7626312383758205997252018734347175749774880555464816587635511578968616418831375230822773852628855994374352153032028362303844126330394175938782271567984850145449504127518810193426277<181>
prime factors 素因数	4550808745304672608135468961541887028791100792967597<52>
composite cofactor 合成数の残り	1675814742077813061122458401013876568314257506354416593274769278929594475980326566166976747613724881867921290238154757168066028441<130>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:341716508 Step 1 took 122791ms Step 2 took 39300ms ********** Factor found in step 2: 4550808745304672608135468961541887028791100792967597 Found prime factor of 52 digits: 4550808745304672608135468961541887028791100792967597 Composite cofactor 1675814742077813061122458401013876568314257506354416593274769278929594475980326566166976747613724881867921290238154757168066028441 has 130 digits

c130

name 名前	Eric Jeancolas
date 日付	May 11, 2023 21:21:56 UTC 2023 年 5 月 12 日 (金) 6 時 21 分 56 秒 (日本時間)
composite number 合成数	1675814742077813061122458401013876568314257506354416593274769278929594475980326566166976747613724881867921290238154757168066028441<130>
prime factors 素因数	52768278413021895575619008013378800517797209<44> 31757995380502384583889807257660992134637233339895191200228822511757438304423426422849<86>
factorization results 素因数分解の結果	1675814742077813061122458401013876568314257506354416593274769278929594475980326566166976747613724881867921290238154757168066028441=5276827841302189557561900801337880051779720931757995380502384583889807257660992134637233339895191200228822511757438304423426422849 cado polynomial n: 1675814742077813061122458401013876568314257506354416593274769278929594475980326566166976747613724881867921290238154757168066028441 skew: 43938.946 c0: -47129077611661161284754792672 c1: -6053137248194946091021796 c2: 519822778127974819377 c3: 8153187016482863 c4: -129711496584 c5: 246240 Y0: -8384013979400298803893725 Y1: 227483316968479727 # MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.678e-07 # f(x) = 246240x^5-129711496584x^4+8153187016482863x^3+519822778127974819377x^2-6053137248194946091021796x-47129077611661161284754792672 # g(x) = 227483316968479727*x-8384013979400298803893725 cado parameters (extracts) tasks.lim0 = 13124945 tasks.lim1 = 44217255 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 56 tasks.I = 14 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 31757995380502384583889807257660992134637233339895191200228822511757438304423426422849 52768278413021895575619008013378800517797209 Info:Square Root: Total cpu/real time for sqrt: 1408.87/418.218 Info:Linear Algebra: Total cpu/real time for bwc: 48185/12389.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 30805.78, WCT time 7875.07, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54016 iterations) Info:Linear Algebra: Lingen CPU time 339.12, WCT time 86.11 Info:Linear Algebra: Mksol: CPU time 16723.48, WCT time 4310.58, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27136 iterations) Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 23833488 Info:Lattice Sieving: Average J: 7656.98 for 63532 special-q, max bucket fill -bkmult 1.0,1s:1.066750 Info:Lattice Sieving: Total time: 88180.8s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 5202.11 Info:Polynomial Selection (root optimized): Rootsieve time: 5199.52 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 38210.8 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38349/37.640/46.121/50.470/0.848 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30426/37.090/41.395/46.920/0.977 Info:Polynomial Selection (size optimized): Total time: 4952.16 Info:Generate Factor Base: Total cpu/real time for makefb: 39.21/10.7845 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 325.62/331.31 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 304.8s Info:Square Root: Total cpu/real time for sqrt: 1408.87/418.218 Info:Generate Free Relations: Total cpu/real time for freerel: 255.42/65.0007 Info:Quadratic Characters: Total cpu/real time for characters: 67.21/28.3795 Info:Filtering - Singleton removal: Total cpu/real time for purge: 161.71/166.837 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.78/107.972 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 107.80000000000001s Info:Filtering - Merging: Merged matrix has 1723096 rows and total weight 293311022 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 452.71/125.725 Info:Filtering - Merging: Total cpu/real time for replay: 67.39/57.8123 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 230027/45789.4 Info:root: Cleaning up computation data in /tmp/cado.d9qfnajy 31757995380502384583889807257660992134637233339895191200228822511757438304423426422849 52768278413021895575619008013378800517797209
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	1792		Dmitry Domanov	March 7, 2023 14:52:59 UTC 2023 年 3 月 7 日 (火) 23 時 52 分 59 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:38:53 UTC 2023 年 3 月 22 日 (水) 15 時 38 分 53 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:52:09 UTC 2023 年 4 月 9 日 (日) 8 時 52 分 9 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:03:29 UTC 2023 年 4 月 17 日 (月) 6 時 3 分 29 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	April 30, 2023 10:37:39 UTC 2023 年 4 月 30 日 (日) 19 時 37 分 39 秒 (日本時間)

9×10²²⁴+4

c188

composite cofactor 合成数の残り	87202779949664831942915214275961159477900888875012632811660412376616275485652996347497463171804192045652305713923232433148364259524950063221301646352286379049160047198875559977440325721637<188>

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 7, 2023 14:53:02 UTC 2023 年 3 月 7 日 (火) 23 時 53 分 2 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:39:00 UTC 2023 年 3 月 22 日 (水) 15 時 39 分 0 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:52:16 UTC 2023 年 4 月 9 日 (日) 8 時 52 分 16 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:03:37 UTC 2023 年 4 月 17 日 (月) 6 時 3 分 37 秒 (日本時間)
50	43e6	3000 / 6806	1000	Dmitry Domanov	May 1, 2023 08:09:36 UTC 2023 年 5 月 1 日 (月) 17 時 9 分 36 秒 (日本時間)
			1000	Dmitry Domanov	May 12, 2023 08:55:45 UTC 2023 年 5 月 12 日 (金) 17 時 55 分 45 秒 (日本時間)
			1000	Dmitry Domanov	May 20, 2023 08:04:07 UTC 2023 年 5 月 20 日 (土) 17 時 4 分 7 秒 (日本時間)

9×10²²⁶+4

c223

name 名前	Dmitry Domanov
date 日付	April 2, 2023 07:43:44 UTC 2023 年 4 月 2 日 (日) 16 時 43 分 44 秒 (日本時間)
composite number 合成数	1336342578844212151808516956702500445447526281404050602838985567500148482508760468016867612995189166716160836253489338955870998396388905386945417829779651956999465462968462315139276593217318999821820989487438379758864405773<223>
prime factors 素因数	160930945266725142843706381064622002666379001<45>
composite cofactor 合成数の残り	8303826070426498502352770626122081851414346393111448846733179626537345385843238391721244381840468270844407374233420042691721785592225620150599177018654093497069935427194751438773<178>
factorization results 素因数分解の結果	Resuming ECM residue saved by @b27ba0263925 with GMP-ECM 7.0.5-dev on Sat Apr 1 16:03:53 2023 Input number is 1336342578844212151808516956702500445447526281404050602838985567500148482508760468016867612995189166716160836253489338955870998396388905386945417829779651956999465462968462315139276593217318999821820989487438379758864405773 (223 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1257693546 Step 1 took 0ms Step 2 took 12733ms ********** Factor found in step 2: 160930945266725142843706381064622002666379001 Found prime factor of 45 digits: 160930945266725142843706381064622002666379001 Composite cofactor 8303826070426498502352770626122081851414346393111448846733179626537345385843238391721244381840468270844407374233420042691721785592225620150599177018654093497069935427194751438773 has 178 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 7, 2023 14:53:06 UTC 2023 年 3 月 7 日 (火) 23 時 53 分 6 秒 (日本時間)
45	11e6	3032	1792	Dmitry Domanov	March 31, 2023 23:58:34 UTC 2023 年 4 月 1 日 (土) 8 時 58 分 34 秒 (日本時間)
			240	Dmitry Domanov	April 8, 2023 23:52:25 UTC 2023 年 4 月 9 日 (日) 8 時 52 分 25 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:03:46 UTC 2023 年 4 月 17 日 (月) 6 時 3 分 46 秒 (日本時間)
50	43e6	3000 / 6799	1000	Dmitry Domanov	May 1, 2023 10:37:28 UTC 2023 年 5 月 1 日 (月) 19 時 37 分 28 秒 (日本時間)
			1000	Dmitry Domanov	May 14, 2023 17:41:19 UTC 2023 年 5 月 15 日 (月) 2 時 41 分 19 秒 (日本時間)
			1000	Dmitry Domanov	May 20, 2023 08:03:50 UTC 2023 年 5 月 20 日 (土) 17 時 3 分 50 秒 (日本時間)

9×10²³⁰+4

c163

composite cofactor 合成数の残り	3226529906736132114205563187899216894841051873456570464282112477737769811577466772906981667616076635822537335940594843702159387693151944630794562624354729907506061<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 7, 2023 14:53:57 UTC 2023 年 3 月 7 日 (火) 23 時 53 分 57 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:39:07 UTC 2023 年 3 月 22 日 (水) 15 時 39 分 7 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:52:42 UTC 2023 年 4 月 9 日 (日) 8 時 52 分 42 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:04:21 UTC 2023 年 4 月 17 日 (月) 6 時 4 分 21 秒 (日本時間)
50	43e6	3000 / 6806	1000	Dmitry Domanov	May 3, 2023 04:54:00 UTC 2023 年 5 月 3 日 (水) 13 時 54 分 0 秒 (日本時間)
			1000	Dmitry Domanov	May 14, 2023 18:59:59 UTC 2023 年 5 月 15 日 (月) 3 時 59 分 59 秒 (日本時間)
			1000	Dmitry Domanov	May 20, 2023 08:03:28 UTC 2023 年 5 月 20 日 (土) 17 時 3 分 28 秒 (日本時間)

9×10²³²+4

c206

name 名前	Dmitry Domanov
date 日付	February 23, 2023 18:48:02 UTC 2023 年 2 月 24 日 (金) 3 時 48 分 2 秒 (日本時間)
composite number 合成数	44034318954147819739030107185825156020204010852832715719642590903669277898342965036334626560556187795361034205028430730935856710481457284127354768771012351982763327887710809023286415005264384927631217062233<206>
prime factors 素因数	745163692611926069027557431522448994797<39>
composite cofactor 合成数の残り	59093484278333539900180345337370586925740473621748706955151174416862193839769116012745554909242824721004589168383298717148211623654134688957126169254675457125928664989<167>
factorization results 素因数分解の結果	Resuming ECM residue saved by @04c39b586e47 with GMP-ECM 7.0.5-dev on Wed Feb 22 12:26:40 2023 Input number is 44034318954147819739030107185825156020204010852832715719642590903669277898342965036334626560556187795361034205028430730935856710481457284127354768771012351982763327887710809023286415005264384927631217062233 (206 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1995335522 Step 1 took 0ms Step 2 took 5133ms ********** Factor found in step 2: 745163692611926069027557431522448994797 Found prime factor of 39 digits: 745163692611926069027557431522448994797 Composite cofactor 59093484278333539900180345337370586925740473621748706955151174416862193839769116012745554909242824721004589168383298717148211623654134688957126169254675457125928664989 has 167 digits

c167

name 名前	Dmitry Domanov
date 日付	May 3, 2023 20:20:22 UTC 2023 年 5 月 4 日 (木) 5 時 20 分 22 秒 (日本時間)
composite number 合成数	59093484278333539900180345337370586925740473621748706955151174416862193839769116012745554909242824721004589168383298717148211623654134688957126169254675457125928664989<167>
prime factors 素因数	9554096646747576409450181758761426201396084841<46> 6185146169570124163762679071869960066936943681229148384642458181187123941049260174546964041084041959381282166443979300629<121>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2568867642 Step 1 took 105673ms Step 2 took 39081ms ********** Factor found in step 2: 9554096646747576409450181758761426201396084841 Found prime factor of 46 digits: 9554096646747576409450181758761426201396084841 Prime cofactor 6185146169570124163762679071869960066936943681229148384642458181187123941049260174546964041084041959381282166443979300629 has 121 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 7, 2023 14:54:00 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 0 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:39:14 UTC 2023 年 3 月 22 日 (水) 15 時 39 分 14 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:52:51 UTC 2023 年 4 月 9 日 (日) 8 時 52 分 51 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:04:12 UTC 2023 年 4 月 17 日 (月) 6 時 4 分 12 秒 (日本時間)
50	43e6	1000 / 6806		Dmitry Domanov	May 2, 2023 16:01:05 UTC 2023 年 5 月 3 日 (水) 1 時 1 分 5 秒 (日本時間)

9×10²³³+4

c233

composite cofactor 合成数の残り

32142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<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 7, 2023 14:54:04 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 4 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 22, 2023 23:44:02 UTC 2023 年 3 月 23 日 (木) 8 時 44 分 2 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 10, 2023 17:03:20 UTC 2023 年 4 月 11 日 (火) 2 時 3 分 20 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	April 27, 2023 15:23:07 UTC 2023 年 4 月 28 日 (金) 0 時 23 分 7 秒 (日本時間)

9×10²³⁵+4

c197

composite cofactor 合成数の残り

79863136832376692467471004358870466379966487310379766539675001610418410635007644261843276429098173783244321401769681903233267381574073786920452947498221625315281983755987784052497317914209133790691<197>

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 7, 2023 14:54:08 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 8 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:39:21 UTC 2023 年 3 月 22 日 (水) 15 時 39 分 21 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:52:58 UTC 2023 年 4 月 9 日 (日) 8 時 52 分 58 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:05:03 UTC 2023 年 4 月 17 日 (月) 6 時 5 分 3 秒 (日本時間)
50	43e6	3584 / 6806	1792	Dmitry Domanov	May 3, 2023 20:23:50 UTC 2023 年 5 月 4 日 (木) 5 時 23 分 50 秒 (日本時間)
50	43e6	3584 / 6806	1792	Dmitry Domanov	May 20, 2023 08:03:06 UTC 2023 年 5 月 20 日 (土) 17 時 3 分 6 秒 (日本時間)

9×10²³⁶+4

c162

composite cofactor 合成数の残り	368068830954269353522351609081940787741903799463851508205433988607770890076211938368506023125399243779543411295839417188965491738952390192975515176366606913435577<162>

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 10:06:54 UTC 2023 年 3 月 1 日 (水) 19 時 6 分 54 秒 (日本時間)
45	11e6	4480		Ignacio Santos	March 8, 2023 20:21:12 UTC 2023 年 3 月 9 日 (木) 5 時 21 分 12 秒 (日本時間)
50	43e6	3000 / 6453	1000	Dmitry Domanov	May 10, 2023 23:39:04 UTC 2023 年 5 月 11 日 (木) 8 時 39 分 4 秒 (日本時間)
			1000	Dmitry Domanov	May 14, 2023 18:59:50 UTC 2023 年 5 月 15 日 (月) 3 時 59 分 50 秒 (日本時間)
			1000	Dmitry Domanov	May 20, 2023 08:02:27 UTC 2023 年 5 月 20 日 (土) 17 時 2 分 27 秒 (日本時間)

9×10²³⁷+4

c206

name 名前	Dmitry Domanov
date 日付	April 2, 2023 07:44:07 UTC 2023 年 4 月 2 日 (日) 16 時 44 分 7 秒 (日本時間)
composite number 合成数	62550721424879930337859748731167479083279225769715659908229766951620848496317244621092124954222777156925021930000025741182572056513086777772200001209414746213727619433731057008262453792269854782219096121767<206>
prime factors 素因数	2307564960595513681656416005074411904129<40>
composite cofactor 合成数の残り	27106808472571647571907694603537104094776705139662354560029174338570209558417639893567018117313672182225182991209741504079187686847129986349878540006484556351645469223<167>
factorization results 素因数分解の結果	Resuming ECM residue saved by @b27ba0263925 with GMP-ECM 7.0.5-dev on Sat Apr 1 16:14:37 2023 Input number is 62550721424879930337859748731167479083279225769715659908229766951620848496317244621092124954222777156925021930000025741182572056513086777772200001209414746213727619433731057008262453792269854782219096121767 (206 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1215881205 Step 1 took 0ms Step 2 took 14217ms ********** Factor found in step 2: 2307564960595513681656416005074411904129 Found prime factor of 40 digits: 2307564960595513681656416005074411904129 Composite cofactor 27106808472571647571907694603537104094776705139662354560029174338570209558417639893567018117313672182225182991209741504079187686847129986349878540006484556351645469223 has 167 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 7, 2023 14:54:16 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 16 秒 (日本時間)
45	11e6	3032	1792	Dmitry Domanov	March 31, 2023 23:58:41 UTC 2023 年 4 月 1 日 (土) 8 時 58 分 41 秒 (日本時間)
			240	Dmitry Domanov	April 8, 2023 23:53:09 UTC 2023 年 4 月 9 日 (日) 8 時 53 分 9 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:05:17 UTC 2023 年 4 月 17 日 (月) 6 時 5 分 17 秒 (日本時間)
50	43e6	3000 / 6799	1000	Dmitry Domanov	May 3, 2023 05:58:26 UTC 2023 年 5 月 3 日 (水) 14 時 58 分 26 秒 (日本時間)
			1000	Dmitry Domanov	May 16, 2023 20:46:26 UTC 2023 年 5 月 17 日 (水) 5 時 46 分 26 秒 (日本時間)
			1000	Dmitry Domanov	May 20, 2023 08:02:13 UTC 2023 年 5 月 20 日 (土) 17 時 2 分 13 秒 (日本時間)

9×10²³⁸+4

c175

composite cofactor 合成数の残り	6334729435883399113372584785839621297708511093021387832011307630034645143799448097364607873947919879319846504770217529300992697057332670327966227724199226603090469014114836089<175>

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 7, 2023 14:54:19 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 19 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:39:31 UTC 2023 年 3 月 22 日 (水) 15 時 39 分 31 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:53:20 UTC 2023 年 4 月 9 日 (日) 8 時 53 分 20 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:05:24 UTC 2023 年 4 月 17 日 (月) 6 時 5 分 24 秒 (日本時間)
50	43e6	3000 / 6806	1000	Dmitry Domanov	May 3, 2023 05:59:28 UTC 2023 年 5 月 3 日 (水) 14 時 59 分 28 秒 (日本時間)
			1000	Dmitry Domanov	May 16, 2023 17:37:36 UTC 2023 年 5 月 17 日 (水) 2 時 37 分 36 秒 (日本時間)
			1000	Dmitry Domanov	May 20, 2023 07:55:57 UTC 2023 年 5 月 20 日 (土) 16 時 55 分 57 秒 (日本時間)

9×10²³⁹+4

c182

name 名前	Dmitry Domanov
date 日付	April 11, 2023 19:04:38 UTC 2023 年 4 月 12 日 (水) 4 時 4 分 38 秒 (日本時間)
composite number 合成数	59784523298437188889834903136238012187949536818842874426268335948240000437371835898334703169711445569742875886359760543087840529632880674809724938355076169611070991147361235777067681<182>
prime factors 素因数	888597678925315424543598450705701654983<39>
composite cofactor 合成数の残り	67279630271757596514659342506491701400187591550404034507243864091616995524462363644297994924498264978890683502338599031102101054303668948971607<143>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=552586967 Step 1 took 40580ms Step 2 took 13928ms ********** Factor found in step 2: 888597678925315424543598450705701654983 Found probable prime factor of 39 digits: 888597678925315424543598450705701654983 Composite cofactor 67279630271757596514659342506491701400187591550404034507243864091616995524462363644297994924498264978890683502338599031102101054303668948971607 has 143 digits

c143

name 名前	Erik Branger
date 日付	August 8, 2023 13:57:18 UTC 2023 年 8 月 8 日 (火) 22 時 57 分 18 秒 (日本時間)
composite number 合成数	67279630271757596514659342506491701400187591550404034507243864091616995524462363644297994924498264978890683502338599031102101054303668948971607<143>
prime factors 素因数	75637829575199974760121380851932098610001597683924683361887<59> 889497102833542266470984227149820902269051006887708827198915167005086039864043319561<84>
factorization results 素因数分解の結果	Number: 90004_239 N = 67279630271757596514659342506491701400187591550404034507243864091616995524462363644297994924498264978890683502338599031102101054303668948971607 (143 digits) SNFS difficulty: 241 digits. Divisors found: r1=75637829575199974760121380851932098610001597683924683361887 (pp59) r2=889497102833542266470984227149820902269051006887708827198915167005086039864043319561 (pp84) Version: Msieve v. 1.52 (SVN unknown) Total time: 74.50 hours. Factorization parameters were as follows: n: 67279630271757596514659342506491701400187591550404034507243864091616995524462363644297994924498264978890683502338599031102101054303668948971607 m: 1000000000000000000000000000000000000000000000000000000000000 deg: 4 c4: 9 c0: 40 skew: 1.00 type: snfs lss: 1 rlim: 500000000 alim: 150000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 8 Number of threads per core: 1 Factor base limits: 500000000/150000000 Large primes per side: 3 Large prime bits: 29/29 Total raw relations: 66991215 Relations: 13785026 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 18.44 hours. Total relation processing time: 0.64 hours. Pruned matrix : 11131797 x 11132022 Matrix solve time: 55.20 hours. time per square root: 0.22 hours. Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000 total time: 74.50 hours. Intel64 Family 6 Model 165 Stepping 5, GenuineIntel Windows-10-10.0.22621-SP0 processors: 16, speed: 3.79GHz
software ソフトウェア	GGNFS, NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	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 7, 2023 14:54:22 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 22 秒 (日本時間)
45	11e6	6480	1000	Dmitry Domanov	March 22, 2023 06:39:39 UTC 2023 年 3 月 22 日 (水) 15 時 39 分 39 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:53:29 UTC 2023 年 4 月 9 日 (日) 8 時 53 分 29 秒 (日本時間)
			4480	Ignacio Santos	April 14, 2023 11:29:29 UTC 2023 年 4 月 14 日 (金) 20 時 29 分 29 秒 (日本時間)
50	43e6	6454		Ignacio Santos	April 15, 2023 07:49:47 UTC 2023 年 4 月 15 日 (土) 16 時 49 分 47 秒 (日本時間)

9×10²⁴⁰+4

c216

composite cofactor 合成数の残り

480530241270103318612497081551885261626097665489016933590125387900204446313963558137391439086784310786924622761840670051179020555789758326548222706012086289551751974169630983688316807576094544673253244774171085775621<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	1792		Dmitry Domanov	March 7, 2023 14:54:27 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 27 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 31, 2023 23:58:50 UTC 2023 年 4 月 1 日 (土) 8 時 58 分 50 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:35:11 UTC 2023 年 4 月 13 日 (木) 18 時 35 分 11 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 21, 2023 09:41:33 UTC 2023 年 4 月 21 日 (金) 18 時 41 分 33 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 13, 2023 08:42:21 UTC 2023 年 5 月 13 日 (土) 17 時 42 分 21 秒 (日本時間)

9×10²⁴¹+4

c204

name 名前	Erik Branger
date 日付	August 20, 2023 06:41:10 UTC 2023 年 8 月 20 日 (日) 15 時 41 分 10 秒 (日本時間)
composite number 合成数	252944228488017865127839154621402086338858487958879259510053971213089874805576624195924113499901274477702369076467553334033188884268879545841717350599926578310390107315355591076422269726359682640595924401<204>
prime factors 素因数	2208860371678001809908115084099915047853045795376124310696890084107221243376718209166413565625850293<100> 114513453059898070258964451118831756960632188977892409198224810670271531090374551987802340649008011458957<105>
factorization results 素因数分解の結果	Number: 90004_241 N = 252944228488017865127839154621402086338858487958879259510053971213089874805576624195924113499901274477702369076467553334033188884268879545841717350599926578310390107315355591076422269726359682640595924401 (204 digits) SNFS difficulty: 242 digits. Divisors found: r1=2208860371678001809908115084099915047853045795376124310696890084107221243376718209166413565625850293 (pp100) r2=114513453059898070258964451118831756960632188977892409198224810670271531090374551987802340649008011458957 (pp105) Version: Msieve v. 1.52 (SVN unknown) Total time: 51.04 hours. Factorization parameters were as follows: n: 252944228488017865127839154621402086338858487958879259510053971213089874805576624195924113499901274477702369076467553334033188884268879545841717350599926578310390107315355591076422269726359682640595924401 m: 1000000000000000000000000000000000000000000000000000000000000 deg: 4 c4: 45 c0: 2 skew: 1.00 type: snfs lss: 1 rlim: 500000000 alim: 150000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 8 Number of threads per core: 1 Factor base limits: 500000000/150000000 Large primes per side: 3 Large prime bits: 29/29 Total raw relations: 0 Relations: 14834984 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 17.61 hours. Total relation processing time: 0.60 hours. Pruned matrix : 11478870 x 11479095 Matrix solve time: 32.59 hours. time per square root: 0.24 hours. Prototype def-par.txt line would be: snfs,242,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000 total time: 51.04 hours. Intel64 Family 6 Model 165 Stepping 5, GenuineIntel Windows-10-10.0.22621-SP0 processors: 16, speed: 3.79GHz
software ソフトウェア	GGNFS, NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	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 7, 2023 14:54:31 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 31 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 31, 2023 23:58:58 UTC 2023 年 4 月 1 日 (土) 8 時 58 分 58 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:35:18 UTC 2023 年 4 月 13 日 (木) 18 時 35 分 18 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 21, 2023 09:41:44 UTC 2023 年 4 月 21 日 (金) 18 時 41 分 44 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 13, 2023 08:42:13 UTC 2023 年 5 月 13 日 (土) 17 時 42 分 13 秒 (日本時間)

9×10²⁴²+4

c228

composite cofactor 合成数の残り

139152498475353955848948388627697672096259088489135280159887748345113097472057955890628944623629362109099283489915466557734434053057259368204962693348115528192508644662837768931064060237261774407969263008178797498680903432632957<228>

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 7, 2023 14:54:34 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 34 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 31, 2023 23:59:05 UTC 2023 年 4 月 1 日 (土) 8 時 59 分 5 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:35:30 UTC 2023 年 4 月 13 日 (木) 18 時 35 分 30 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	April 26, 2023 21:58:23 UTC 2023 年 4 月 27 日 (木) 6 時 58 分 23 秒 (日本時間)

9×10²⁴³+4

c221

composite cofactor 合成数の残り

14093569923273200298082454631634900210572132558990761844037442696955352726701979372134986306970016132361849604385092095060133835167928270023773292703673206043362410586760446247529338717806224880115711985972520928393251823<221>

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 7, 2023 14:54:38 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 38 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 31, 2023 23:59:12 UTC 2023 年 4 月 1 日 (土) 8 時 59 分 12 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:35:37 UTC 2023 年 4 月 13 日 (木) 18 時 35 分 37 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	April 26, 2023 21:58:31 UTC 2023 年 4 月 27 日 (木) 6 時 58 分 31 秒 (日本時間)

9×10²⁴⁴+4

c138

name 名前	anonymous
date 日付	September 7, 2023 21:32:55 UTC 2023 年 9 月 8 日 (金) 6 時 32 分 55 秒 (日本時間)
composite number 合成数	285188142017746676229669551767143716001021008218918177115342027164017625438598573055531668046894687298614280080848329566724098457381076833<138>
prime factors 素因数	15598886293075099741398773762968664134771522207978027568975509789<65> 18282596376406168984291299892467550975842051924137100693945274975750475797<74>
factorization results 素因数分解の結果	n: 285188142017746676229669551767143716001021008218918177115342027164017625438598573055531668046894687298614280080848329566724098457381076833 p65 factor: 15598886293075099741398773762968664134771522207978027568975509789 p74 factor: 18282596376406168984291299892467550975842051924137100693945274975750475797
software ソフトウェア	GGNFS

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 22, 2023 15:12:45 UTC 2023 年 2 月 23 日 (木) 0 時 12 分 45 秒 (日本時間)
45	11e6	4480	Ignacio Santos	March 2, 2023 11:23:03 UTC 2023 年 3 月 2 日 (木) 20 時 23 分 3 秒 (日本時間)
50	43e6	6454	Ignacio Santos	April 13, 2023 16:32:33 UTC 2023 年 4 月 14 日 (金) 1 時 32 分 33 秒 (日本時間)

9×10²⁴⁶+4

c231

name 名前	Dmitry Domanov
date 日付	February 23, 2023 18:49:48 UTC 2023 年 2 月 24 日 (金) 3 時 49 分 48 秒 (日本時間)
composite number 合成数	584461701238715747800394228385621142558746024278088508773950651978784175388075193369167412866431607063685266632303674821229502415175851613575746261572579391057753832490612711753445781554622757450511543115235647396571228571770973249<231>
prime factors 素因数	76431836188745358476285472979324124053<38> 7646835800142377627736535155340993216544390827819984017196048363966758001703449220591403816666303783132586488701320733971603351768643408477951080740800400199116120762050316803263500034669601533<193>
factorization results 素因数分解の結果	Resuming ECM residue saved by @04c39b586e47 with GMP-ECM 7.0.5-dev on Wed Feb 22 13:11:16 2023 Input number is 584461701238715747800394228385621142558746024278088508773950651978784175388075193369167412866431607063685266632303674821229502415175851613575746261572579391057753832490612711753445781554622757450511543115235647396571228571770973249 (231 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:587391204 Step 1 took 0ms Step 2 took 5733ms ********** Factor found in step 2: 76431836188745358476285472979324124053 Found prime factor of 38 digits: 76431836188745358476285472979324124053 Prime cofactor 7646835800142377627736535155340993216544390827819984017196048363966758001703449220591403816666303783132586488701320733971603351768643408477951080740800400199116120762050316803263500034669601533 has 193 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	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)

9×10²⁴⁷+4

c183

composite cofactor 合成数の残り	856165496443213505456206356134514337668614027723867047870998879894789865699160765593332079855924743073926205855327129215437909346341631809526955217136013343140022332221779308384153529<183>

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 7, 2023 14:54:41 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 41 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:39:46 UTC 2023 年 3 月 22 日 (水) 15 時 39 分 46 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:54:07 UTC 2023 年 4 月 9 日 (日) 8 時 54 分 7 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:05:39 UTC 2023 年 4 月 17 日 (月) 6 時 5 分 39 秒 (日本時間)
50	43e6	3000 / 6806	1000	Dmitry Domanov	May 3, 2023 20:20:56 UTC 2023 年 5 月 4 日 (木) 5 時 20 分 56 秒 (日本時間)
			1000	Dmitry Domanov	May 15, 2023 04:47:42 UTC 2023 年 5 月 15 日 (月) 13 時 47 分 42 秒 (日本時間)
			1000	Dmitry Domanov	May 20, 2023 08:01:43 UTC 2023 年 5 月 20 日 (土) 17 時 1 分 43 秒 (日本時間)

9×10²⁴⁹+4

c249

name 名前	Dmitry Domanov
date 日付	February 23, 2023 18:51:51 UTC 2023 年 2 月 24 日 (金) 3 時 51 分 51 秒 (日本時間)
composite number 合成数	118421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579<249>
prime factors 素因数	1113261648665564245751109900650410791037<40>
composite cofactor 合成数の残り	106373064026347235884919959911603663665614480043583117323104168438589182881080646948411847555808992666142568436707818939826819293639970448534267564528828898630821208610143098297083056250449518292102892321333367<210>
factorization results 素因数分解の結果	Resuming ECM residue saved by @04c39b586e47 with GMP-ECM 7.0.5-dev on Wed Feb 22 14:19:48 2023 Input number is 118421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579 (249 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:643464522 Step 1 took 0ms Step 2 took 6476ms ********** Factor found in step 2: 1113261648665564245751109900650410791037 Found prime factor of 40 digits: 1113261648665564245751109900650410791037 Composite cofactor 106373064026347235884919959911603663665614480043583117323104168438589182881080646948411847555808992666142568436707818939826819293639970448534267564528828898630821208610143098297083056250449518292102892321333367 has 210 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 7, 2023 14:54:44 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 44 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 31, 2023 23:59:18 UTC 2023 年 4 月 1 日 (土) 8 時 59 分 18 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:35:44 UTC 2023 年 4 月 13 日 (木) 18 時 35 分 44 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 21, 2023 09:41:54 UTC 2023 年 4 月 21 日 (金) 18 時 41 分 54 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 13, 2023 08:42:04 UTC 2023 年 5 月 13 日 (土) 17 時 42 分 4 秒 (日本時間)

9×10²⁵⁰+4

c211

composite cofactor 合成数の残り

3470123298996082198250827786276306586184806898414107377309585838623018809594155238376597189566943515723809929169240745593058743391057998572340534835064318151194779096480030644250055481097818669230600452206707061<211>

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 7, 2023 14:54:48 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 48 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 31, 2023 23:59:25 UTC 2023 年 4 月 1 日 (土) 8 時 59 分 25 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:35:52 UTC 2023 年 4 月 13 日 (木) 18 時 35 分 52 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 21, 2023 09:42:06 UTC 2023 年 4 月 21 日 (金) 18 時 42 分 6 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 21:30:26 UTC 2023 年 5 月 13 日 (土) 6 時 30 分 26 秒 (日本時間)

9×10²⁵¹+4

c241

name 名前	Dmitry Domanov
date 日付	March 25, 2023 07:04:03 UTC 2023 年 3 月 25 日 (土) 16 時 4 分 3 秒 (日本時間)
composite number 合成数	2449469118566676126577004251584776383077584021890044431699708321819097064287442760129719938805569686303094515966503337752889815845728336090799551646720891131151944839785606111611323072491424705246608325305332836590416564799265369034788005329<241>
prime factors 素因数	4173459255667201887890730418210392624287983<43>
composite cofactor 合成数の残り	586915785805385754569869238612736446015934360614695334635278971541873531353418878709020929831728344556740574759634382688814928447231745780162168565348997173915647710806094973252357737922993876972863<198>
factorization results 素因数分解の結果	Resuming ECM residue saved by @1f86f1dbe94c with GMP-ECM 7.0.5-dev on Thu Mar 23 03:31:09 2023 Input number is 2449469118566676126577004251584776383077584021890044431699708321819097064287442760129719938805569686303094515966503337752889815845728336090799551646720891131151944839785606111611323072491424705246608325305332836590416564799265369034788005329 (241 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:447836952 Step 1 took 0ms Step 2 took 14283ms ********** Factor found in step 2: 4173459255667201887890730418210392624287983 Found prime factor of 43 digits: 4173459255667201887890730418210392624287983 Composite cofactor 586915785805385754569869238612736446015934360614695334635278971541873531353418878709020929831728344556740574759634382688814928447231745780162168565348997173915647710806094973252357737922993876972863 has 198 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 7, 2023 14:54:51 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 51 秒 (日本時間)
45	11e6	3032	1792	Dmitry Domanov	March 22, 2023 23:44:09 UTC 2023 年 3 月 23 日 (木) 8 時 44 分 9 秒 (日本時間)
			240	Dmitry Domanov	April 8, 2023 23:54:15 UTC 2023 年 4 月 9 日 (日) 8 時 54 分 15 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:05:47 UTC 2023 年 4 月 17 日 (月) 6 時 5 分 47 秒 (日本時間)
50	43e6	3584 / 6799	1792	Dmitry Domanov	May 3, 2023 20:23:29 UTC 2023 年 5 月 4 日 (木) 5 時 23 分 29 秒 (日本時間)
50	43e6	3584 / 6799	1792	Dmitry Domanov	May 20, 2023 08:01:04 UTC 2023 年 5 月 20 日 (土) 17 時 1 分 4 秒 (日本時間)

9×10²⁵²+4

c212

composite cofactor 合成数の残り

27453624215372286913780905066591152858437927409409588576075594642936969406246954801651271318682907319706117445966173634889522756741204240745302141023865680309579148101325555149154269649263435160170076727346994593<212>

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 7, 2023 14:54:55 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 55 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 31, 2023 23:59:32 UTC 2023 年 4 月 1 日 (土) 8 時 59 分 32 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:36:00 UTC 2023 年 4 月 13 日 (木) 18 時 36 分 0 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 21, 2023 09:42:16 UTC 2023 年 4 月 21 日 (金) 18 時 42 分 16 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 21:30:17 UTC 2023 年 5 月 13 日 (土) 6 時 30 分 17 秒 (日本時間)

9×10²⁵⁵+4

c238

composite cofactor 合成数の残り

2835379743744986422110082467571193036754474741567560694930513645281765914162367605301477761585984351996953601656831133862909780256682463100165678604217558655983114406952132191262442992574546752076607578979622846111751380293070726436921197<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 7, 2023 14:54:59 UTC 2023 年 3 月 7 日 (火) 23 時 54 分 59 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 22, 2023 23:44:17 UTC 2023 年 3 月 23 日 (木) 8 時 44 分 17 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 10, 2023 17:03:31 UTC 2023 年 4 月 11 日 (火) 2 時 3 分 31 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	April 27, 2023 15:23:19 UTC 2023 年 4 月 28 日 (金) 0 時 23 分 19 秒 (日本時間)

9×10²⁵⁶+4

c202

composite cofactor 合成数の残り

6445496529020831459435607502650462556615559794652999598508542006838690620958510151204727609018703231322882551942097339499794866389512903878464815711786289253307359125363384152221121375673541334729940733<202>

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 7, 2023 14:55:03 UTC 2023 年 3 月 7 日 (火) 23 時 55 分 3 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 31, 2023 23:59:40 UTC 2023 年 4 月 1 日 (土) 8 時 59 分 40 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:36:40 UTC 2023 年 4 月 13 日 (木) 18 時 36 分 40 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 21, 2023 09:45:06 UTC 2023 年 4 月 21 日 (金) 18 時 45 分 6 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 21:30:06 UTC 2023 年 5 月 13 日 (土) 6 時 30 分 6 秒 (日本時間)

9×10²⁵⁷+4

c235

composite cofactor 合成数の残り

1574324294265020163438431642283708245218055804133730333457648850530227356822813263610422962003983275673977999156591523723431071752315821041364876547593819346704377404686164224527848164267516008401401109264465184447254138291724644308419<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 7, 2023 14:55:52 UTC 2023 年 3 月 7 日 (火) 23 時 55 分 52 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 22, 2023 23:44:25 UTC 2023 年 3 月 23 日 (木) 8 時 44 分 25 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 10, 2023 17:03:38 UTC 2023 年 4 月 11 日 (火) 2 時 3 分 38 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	April 27, 2023 15:23:27 UTC 2023 年 4 月 28 日 (金) 0 時 23 分 27 秒 (日本時間)

9×10²⁵⁸+4

c202

composite cofactor 合成数の残り

1893284537804102142821519339172956802785711317217388713040893709650954417775697776021032451958935967247807553701604092927049230445717662535388904978600976488487696745482809423997386906241046378529287441<202>

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 7, 2023 14:55:55 UTC 2023 年 3 月 7 日 (火) 23 時 55 分 55 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 31, 2023 23:59:47 UTC 2023 年 4 月 1 日 (土) 8 時 59 分 47 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:36:48 UTC 2023 年 4 月 13 日 (木) 18 時 36 分 48 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 3, 2023 20:22:33 UTC 2023 年 5 月 4 日 (木) 5 時 22 分 33 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 21:29:57 UTC 2023 年 5 月 13 日 (土) 6 時 29 分 57 秒 (日本時間)

9×10²⁵⁹+4

c215

composite cofactor 合成数の残り

85797250366633235611425323199567853836515927858690697327368583630767684503544197203060555553590648644705478016313710810108873491959005769046807508433950928157573354215576862402882893037925394602977645182673432600983<215>

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 7, 2023 14:55:58 UTC 2023 年 3 月 7 日 (火) 23 時 55 分 58 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 31, 2023 23:59:53 UTC 2023 年 4 月 1 日 (土) 8 時 59 分 53 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:36:56 UTC 2023 年 4 月 13 日 (木) 18 時 36 分 56 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 21, 2023 09:45:29 UTC 2023 年 4 月 21 日 (金) 18 時 45 分 29 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 21:29:49 UTC 2023 年 5 月 13 日 (土) 6 時 29 分 49 秒 (日本時間)

9×10²⁶⁰+4

c261

composite cofactor 合成数の残り

225000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<261>

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 7, 2023 14:56:02 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 2 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 16, 2023 20:22:35 UTC 2023 年 3 月 17 日 (金) 5 時 22 分 35 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:34:42 UTC 2023 年 4 月 8 日 (土) 15 時 34 分 42 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 28, 2023 21:39:45 UTC 2023 年 4 月 29 日 (土) 6 時 39 分 45 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 08:13:49 UTC 2023 年 5 月 12 日 (金) 17 時 13 分 49 秒 (日本時間)

9×10²⁶¹+4

c242

name 名前	Dmitry Domanov
date 日付	May 2, 2023 08:25:51 UTC 2023 年 5 月 2 日 (火) 17 時 25 分 51 秒 (日本時間)
composite number 合成数	17437197660362728014326643675420428405302337725259693729351222372530975502037303029728403091548073542263586021274657217143363642000730746327993484403327526385601247195629626113971762962459267648516721421253491431225426299303507766012715537983<242>
prime factors 素因数	1594209780912243101674890968001432871017391463<46> 10937831312504410085986849848626335440928380308641015119598391910098092692619156983477732710001014676112038050207873999451328588836348791180500198150295463632075622161513997859085640963700335176041<197>
factorization results 素因数分解の結果	Resuming ECM residue saved by @f623df3f6873 with GMP-ECM 7.0.5-dev on Mon May 1 23:02:40 2023 Input number is 17437197660362728014326643675420428405302337725259693729351222372530975502037303029728403091548073542263586021274657217143363642000730746327993484403327526385601247195629626113971762962459267648516721421253491431225426299303507766012715537983 (242 digits) Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:4116664113 Step 1 took 0ms Step 2 took 46144ms ********** Factor found in step 2: 1594209780912243101674890968001432871017391463 Found prime factor of 46 digits: 1594209780912243101674890968001432871017391463 Prime cofactor 10937831312504410085986849848626335440928380308641015119598391910098092692619156983477732710001014676112038050207873999451328588836348791180500198150295463632075622161513997859085640963700335176041 has 197 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	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 7, 2023 14:56:05 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 5 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 22, 2023 23:44:32 UTC 2023 年 3 月 23 日 (木) 8 時 44 分 32 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 10, 2023 17:03:45 UTC 2023 年 4 月 11 日 (火) 2 時 3 分 45 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 1, 2023 21:37:22 UTC 2023 年 5 月 2 日 (火) 6 時 37 分 22 秒 (日本時間)

9×10²⁶²+4

c215

name 名前	Dmitry Domanov
date 日付	April 3, 2023 11:03:47 UTC 2023 年 4 月 3 日 (月) 20 時 3 分 47 秒 (日本時間)
composite number 合成数	14870404857002233947008169500677248933952071215381190842650534090519721999698907092302479482237595812691122264511090039905606217566992848820290344953746179530992927422226013588418345504580942679782169897248538155773<215>
prime factors 素因数	2564363046209122059440559622695239066413<40>
composite cofactor 合成数の残り	5798868798622347079873908175925697033990805271729030137407745630161978992449280277200315377687432438411991364079928382250244663160459538734136987493627421283136451137520744721<175>
factorization results 素因数分解の結果	Resuming ECM residue saved by @b27ba0263925 with GMP-ECM 7.0.5-dev on Sat Apr 1 18:12:35 2023 Input number is 14870404857002233947008169500677248933952071215381190842650534090519721999698907092302479482237595812691122264511090039905606217566992848820290344953746179530992927422226013588418345504580942679782169897248538155773 (215 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:485251130 Step 1 took 0ms Step 2 took 15011ms ********** Factor found in step 2: 2564363046209122059440559622695239066413 Found prime factor of 40 digits: 2564363046209122059440559622695239066413 Composite cofactor 5798868798622347079873908175925697033990805271729030137407745630161978992449280277200315377687432438411991364079928382250244663160459538734136987493627421283136451137520744721 has 175 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 7, 2023 14:56:08 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 8 秒 (日本時間)
45	11e6	6272	1792	Dmitry Domanov	April 1, 2023 00:00:01 UTC 2023 年 4 月 1 日 (土) 9 時 0 分 1 秒 (日本時間)
45	11e6	6272	4480	Ignacio Santos	April 4, 2023 16:00:15 UTC 2023 年 4 月 5 日 (水) 1 時 0 分 15 秒 (日本時間)
50	43e6	3000 / 6072	1000	Dmitry Domanov	May 10, 2023 23:39:42 UTC 2023 年 5 月 11 日 (木) 8 時 39 分 42 秒 (日本時間)
			1000	Dmitry Domanov	May 16, 2023 17:02:12 UTC 2023 年 5 月 17 日 (水) 2 時 2 分 12 秒 (日本時間)
			1000	Dmitry Domanov	May 20, 2023 07:55:12 UTC 2023 年 5 月 20 日 (土) 16 時 55 分 12 秒 (日本時間)

9×10²⁶³+4

c253

composite cofactor 合成数の残り

8641532376029966187897197087322782097861199386586592990458982156212674351959050036083200441585653489012115815109369542576452074480326417181614483159623841329978252678527195687749032042476706226859736529128234652757302037545182263070030714251710623950819<253>

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 7, 2023 14:56:12 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 12 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 16, 2023 20:22:44 UTC 2023 年 3 月 17 日 (金) 5 時 22 分 44 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:34:49 UTC 2023 年 4 月 8 日 (土) 15 時 34 分 49 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 1, 2023 21:37:36 UTC 2023 年 5 月 2 日 (火) 6 時 37 分 36 秒 (日本時間)

9×10²⁶⁴+4

c257

composite cofactor 合成数の残り

93633188695719227941508470620048546935674956505303113311847082770615208751448869558189926475474908573433451209888530313079004230597153775783303005196725202113480012289668126942134398082791797116771947130456957842717965890969103919148199323502292410955149661<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 7, 2023 14:56:16 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 16 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 16, 2023 20:22:52 UTC 2023 年 3 月 17 日 (金) 5 時 22 分 52 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:34:57 UTC 2023 年 4 月 8 日 (土) 15 時 34 分 57 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 1, 2023 21:37:52 UTC 2023 年 5 月 2 日 (火) 6 時 37 分 52 秒 (日本時間)

9×10²⁶⁵+4

c197

composite cofactor 合成数の残り

85599799081522568235843450625536741770657392407535291729008490551464995369020512006183671297542673965692640008261009869363116747587582027316025107298963787716286873843724817189185701111055024985903<197>

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 7, 2023 14:56:20 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 20 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	March 22, 2023 06:39:53 UTC 2023 年 3 月 22 日 (水) 15 時 39 分 53 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:54:26 UTC 2023 年 4 月 9 日 (日) 8 時 54 分 26 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:06:35 UTC 2023 年 4 月 17 日 (月) 6 時 6 分 35 秒 (日本時間)
50	43e6	3584 / 6806	1792	Dmitry Domanov	April 28, 2023 11:45:49 UTC 2023 年 4 月 28 日 (金) 20 時 45 分 49 秒 (日本時間)
50	43e6	3584 / 6806	1792	Dmitry Domanov	May 19, 2023 20:14:04 UTC 2023 年 5 月 20 日 (土) 5 時 14 分 4 秒 (日本時間)

9×10²⁶⁶+4

c261

name 名前	Dmitry Domanov
date 日付	April 8, 2023 23:47:47 UTC 2023 年 4 月 9 日 (日) 8 時 47 分 47 秒 (日本時間)
composite number 合成数	108568254931773295972986288070664905769992602882897315179434373867572785364420204503990245262925774537993822707557170836733128131289419323894811354212858438093657249536654814230065300186399630578417885486064902585323791550880633305169923794735549444637186605669<261>
prime factors 素因数	978537057264577797092652999915527906330297<42> 110949558962301522807162463587149182310052976555338016104713505217951853552190225271150492769822340403407835823937641754035932835907651368307394770377937386759209737812965061356698644031021663824189966122059463649182477<219>
factorization results 素因数分解の結果	Resuming ECM residue saved by @3e2b7a653437 with GMP-ECM 7.0.5-dev on Sat Apr 8 11:01:42 2023 Input number is 108568254931773295972986288070664905769992602882897315179434373867572785364420204503990245262925774537993822707557170836733128131289419323894811354212858438093657249536654814230065300186399630578417885486064902585323791550880633305169923794735549444637186605669 (261 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2851930598 Step 1 took 0ms Step 2 took 16337ms ********** Factor found in step 2: 978537057264577797092652999915527906330297 Found prime factor of 42 digits: 978537057264577797092652999915527906330297 Prime cofactor 110949558962301522807162463587149182310052976555338016104713505217951853552190225271150492769822340403407835823937641754035932835907651368307394770377937386759209737812965061356698644031021663824189966122059463649182477 has 219 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 7, 2023 14:56:23 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 23 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	March 16, 2023 20:23:01 UTC 2023 年 3 月 17 日 (金) 5 時 23 分 1 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	April 8, 2023 06:35:04 UTC 2023 年 4 月 8 日 (土) 15 時 35 分 4 秒 (日本時間)

9×10²⁶⁷+4

c213

composite cofactor 合成数の残り

217967381615663202525682899800058534315429979120139789717109119148824986362482020835149124276982000770186216417940731798502142051768262109521928133913452741171635477731444198501892481047754510302599516584771848961<213>

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 7, 2023 14:56:26 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 26 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 1, 2023 00:00:07 UTC 2023 年 4 月 1 日 (土) 9 時 0 分 7 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:37:04 UTC 2023 年 4 月 13 日 (木) 18 時 37 分 4 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 21, 2023 09:45:37 UTC 2023 年 4 月 21 日 (金) 18 時 45 分 37 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 21:29:40 UTC 2023 年 5 月 13 日 (土) 6 時 29 分 40 秒 (日本時間)

9×10²⁶⁸+4

c238

composite cofactor 合成数の残り

8300003838291224350004244238390332614532902926491281785171903368750994622945512646608555077010606669654293932712690901948239258959427852538141590360822926362976725457945852493203061516646338437961062400198653836974398234252408226912990973<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 7, 2023 14:56:29 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 29 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 22, 2023 23:44:39 UTC 2023 年 3 月 23 日 (木) 8 時 44 分 39 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 10, 2023 17:03:54 UTC 2023 年 4 月 11 日 (火) 2 時 3 分 54 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	April 27, 2023 15:23:36 UTC 2023 年 4 月 28 日 (金) 0 時 23 分 36 秒 (日本時間)

9×10²⁶⁹+4

c198

composite cofactor 合成数の残り

136763066632749918981383724359781698757792615918541186180603154287363513810180356617885995852937906764762203192288550806152427988286552428797882703578925196836715400293484975715152081302661763648877<198>

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 7, 2023 14:56:32 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 32 秒 (日本時間)
45	11e6	3000	1000	Dmitry Domanov	April 4, 2023 11:34:22 UTC 2023 年 4 月 4 日 (火) 20 時 34 分 22 秒 (日本時間)
			1000	Dmitry Domanov	April 8, 2023 23:54:35 UTC 2023 年 4 月 9 日 (日) 8 時 54 分 35 秒 (日本時間)
			1000	Dmitry Domanov	April 16, 2023 21:06:45 UTC 2023 年 4 月 17 日 (月) 6 時 6 分 45 秒 (日本時間)
50	43e6	3584 / 6806	1792	Dmitry Domanov	April 28, 2023 11:45:44 UTC 2023 年 4 月 28 日 (金) 20 時 45 分 44 秒 (日本時間)
50	43e6	3584 / 6806	1792	Dmitry Domanov	May 19, 2023 20:14:15 UTC 2023 年 5 月 20 日 (土) 5 時 14 分 15 秒 (日本時間)

9×10²⁷⁰+4

c260

name 名前	Dmitry Domanov
date 日付	February 23, 2023 18:50:53 UTC 2023 年 2 月 24 日 (金) 3 時 50 分 53 秒 (日本時間)
composite number 合成数	18652000778088820846390418855453712146929227955107084618712655408426029100867513768619339808724110200377140625602704562170264510284386392100985895190743529408730413024793669910058890104060559091241197846638046224882428130043848429815265697386706677830337222493<260>
prime factors 素因数	2314009802354162365153045497733202317<37>
composite cofactor 合成数の残り	8060467487697403719428272193293092560182835076938787492002899363511519422292369282902498112574394173458710314859805974249306922786816680639268466832798378075989356744921344490557921902618914435584930460157530815702522310929<223>
factorization results 素因数分解の結果	Resuming ECM residue saved by @04c39b586e47 with GMP-ECM 7.0.5-dev on Wed Feb 22 13:42:20 2023 Input number is 18652000778088820846390418855453712146929227955107084618712655408426029100867513768619339808724110200377140625602704562170264510284386392100985895190743529408730413024793669910058890104060559091241197846638046224882428130043848429815265697386706677830337222493 (260 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3083398883 Step 1 took 0ms Step 2 took 6784ms ********** Factor found in step 2: 2314009802354162365153045497733202317 Found prime factor of 37 digits: 2314009802354162365153045497733202317 Composite cofactor 8060467487697403719428272193293092560182835076938787492002899363511519422292369282902498112574394173458710314859805974249306922786816680639268466832798378075989356744921344490557921902618914435584930460157530815702522310929 has 223 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 7, 2023 14:56:36 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 36 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 1, 2023 00:00:15 UTC 2023 年 4 月 1 日 (土) 9 時 0 分 15 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:37:12 UTC 2023 年 4 月 13 日 (木) 18 時 37 分 12 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 26, 2023 21:58:39 UTC 2023 年 4 月 27 日 (木) 6 時 58 分 39 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 18:13:04 UTC 2023 年 5 月 13 日 (土) 3 時 13 分 4 秒 (日本時間)

9×10²⁷¹+4

c248

composite cofactor 合成数の残り

16152596363404287232930169293860353571500337237433245080872932682386135512291917071530885782985102685357025431400562856732519501367670178665007410150070080626771797928302698074750183149279893469296424083052199892346068528052910669004013038751675343<248>

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 7, 2023 14:56:40 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 40 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 22, 2023 23:44:47 UTC 2023 年 3 月 23 日 (木) 8 時 44 分 47 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 10, 2023 17:04:04 UTC 2023 年 4 月 11 日 (火) 2 時 4 分 4 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 1, 2023 21:38:07 UTC 2023 年 5 月 2 日 (火) 6 時 38 分 7 秒 (日本時間)

9×10²⁷²+4

c240

composite cofactor 合成数の残り

257935053618029068595620744199562175172796904727192668098490383659867778611982503370462354636992285733688932911784190700475775974102202297613984984685369846750246759544052365463418644890636467912574598111988389633079285546836859283967851381<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 7, 2023 14:56:45 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 45 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 22, 2023 23:44:56 UTC 2023 年 3 月 23 日 (木) 8 時 44 分 56 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 10, 2023 17:04:11 UTC 2023 年 4 月 11 日 (火) 2 時 4 分 11 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 1, 2023 21:38:20 UTC 2023 年 5 月 2 日 (火) 6 時 38 分 20 秒 (日本時間)

9×10²⁷³+4

c236

name 名前	Dmitry Domanov
date 日付	April 29, 2023 15:12:08 UTC 2023 年 4 月 30 日 (日) 0 時 12 分 8 秒 (日本時間)
composite number 合成数	19260032871083414562669134181568820969276873844888062936725686795205316171266084364695157536360075870361741024704202882009845608483147262911441483361628382635644980996368729299211711749459309944275817472916228504065050737309923791404689<236>
prime factors 素因数	69830283216663513690332465405949010314857444143<47>
composite cofactor 合成数の残り	275812040047510746131112821423168559971357591299883659926394178247416235414589894336649590168973165974666746248554377189311272953782725834715580254234037132741900995063516222885798179125823<189>
factorization results 素因数分解の結果	Resuming ECM residue saved by @71cf54bba61a with GMP-ECM 7.0.5-dev on Thu Apr 27 20:44:30 2023 Input number is 19260032871083414562669134181568820969276873844888062936725686795205316171266084364695157536360075870361741024704202882009845608483147262911441483361628382635644980996368729299211711749459309944275817472916228504065050737309923791404689 (236 digits) Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:4032334920 Step 1 took 0ms Step 2 took 41890ms ********** Factor found in step 2: 69830283216663513690332465405949010314857444143 Found prime factor of 47 digits: 69830283216663513690332465405949010314857444143 Composite cofactor 275812040047510746131112821423168559971357591299883659926394178247416235414589894336649590168973165974666746248554377189311272953782725834715580254234037132741900995063516222885798179125823 has 189 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 7, 2023 14:56:48 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 48 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 22, 2023 23:45:03 UTC 2023 年 3 月 23 日 (木) 8 時 45 分 3 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 10, 2023 17:04:18 UTC 2023 年 4 月 11 日 (火) 2 時 4 分 18 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 27, 2023 15:23:44 UTC 2023 年 4 月 28 日 (金) 0 時 23 分 44 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 19, 2023 20:14:29 UTC 2023 年 5 月 20 日 (土) 5 時 14 分 29 秒 (日本時間)

9×10²⁷⁴+4

c228

name 名前	Dmitry Domanov
date 日付	February 23, 2023 18:50:25 UTC 2023 年 2 月 24 日 (金) 3 時 50 分 25 秒 (日本時間)
composite number 合成数	604814139888477016156523404900289061586966000669266509527307829726269711435712833809712114976269659856169984946309634196960842019791530337165585523331990000391452054007914459625599227500409050248281616304281979441417479200869293<228>
prime factors 素因数	244446581884357612158498238828525833668671009<45> 2474218028438628350326694683713182684651590721674446677850888494622108101366371525768391810882776214692825657680808595455291866851649130067740594323795977160418014459910302293231422477<184>
factorization results 素因数分解の結果	Resuming ECM residue saved by @04c39b586e47 with GMP-ECM 7.0.5-dev on Wed Feb 22 13:30:28 2023 Input number is 604814139888477016156523404900289061586966000669266509527307829726269711435712833809712114976269659856169984946309634196960842019791530337165585523331990000391452054007914459625599227500409050248281616304281979441417479200869293 (228 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1991065915 Step 1 took 0ms Step 2 took 5665ms ********** Factor found in step 2: 244446581884357612158498238828525833668671009 Found prime factor of 45 digits: 244446581884357612158498238828525833668671009 Prime cofactor 2474218028438628350326694683713182684651590721674446677850888494622108101366371525768391810882776214692825657680808595455291866851649130067740594323795977160418014459910302293231422477 has 184 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)

9×10²⁷⁶+4

c259

composite cofactor 合成数の残り

1679773199715673612308751918518493874964621361769713671700082409610895206058615010760045559727599082669895645812205632865563227933637211039593396814356339166495383693959459167118631400219262373987937869781291795207672347093728984450740325516365676916805272193<259>

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 7, 2023 14:56:52 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 52 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 16, 2023 20:23:11 UTC 2023 年 3 月 17 日 (金) 5 時 23 分 11 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:35:12 UTC 2023 年 4 月 8 日 (土) 15 時 35 分 12 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 1, 2023 21:38:35 UTC 2023 年 5 月 2 日 (火) 6 時 38 分 35 秒 (日本時間)

9×10²⁷⁷+4

c177

composite cofactor 合成数の残り	363861379396437901677284409020868934547046599664731930670372768801422551429806231936066371991877255132928562866828464288046194370912886452360228962439292171646667293366841106401<177>

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 11:34:22 UTC 2023 年 3 月 1 日 (水) 20 時 34 分 22 秒 (日本時間)
45	11e6	4480		Ignacio Santos	March 11, 2023 14:25:36 UTC 2023 年 3 月 11 日 (土) 23 時 25 分 36 秒 (日本時間)
50	43e6	3000 / 6453	1000	Dmitry Domanov	May 10, 2023 23:41:32 UTC 2023 年 5 月 11 日 (木) 8 時 41 分 32 秒 (日本時間)
			1000	Dmitry Domanov	May 16, 2023 22:04:53 UTC 2023 年 5 月 17 日 (水) 7 時 4 分 53 秒 (日本時間)
			1000	Dmitry Domanov	May 19, 2023 21:34:26 UTC 2023 年 5 月 20 日 (土) 6 時 34 分 26 秒 (日本時間)

9×10²⁷⁸+4

c260

composite cofactor 合成数の残り

31737085114468449668873463933189226605351317695860271353529318338291278385867021465793014779455878218623041837559899692251103723707282552159211073196696835056384882797720060990495665090397373535636165661304898120144562176523426524237477031807175467079098997937<260>

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 7, 2023 14:56:57 UTC 2023 年 3 月 7 日 (火) 23 時 56 分 57 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 16, 2023 20:23:19 UTC 2023 年 3 月 17 日 (金) 5 時 23 分 19 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:35:20 UTC 2023 年 4 月 8 日 (土) 15 時 35 分 20 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 28, 2023 21:39:53 UTC 2023 年 4 月 29 日 (土) 6 時 39 分 53 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 08:13:35 UTC 2023 年 5 月 12 日 (金) 17 時 13 分 35 秒 (日本時間)

9×10²⁷⁹+4

c256

composite cofactor 合成数の残り

8531136193312334224652320799821602269098724917740122842789705444804857452952871486478215146194721397836909711350710313948911634952657103813209921697955860731458706321814598490715396455128692338965306897512443243367203617500574821032461635458516453522460853<256>

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 7, 2023 14:57:02 UTC 2023 年 3 月 7 日 (火) 23 時 57 分 2 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 16, 2023 20:23:27 UTC 2023 年 3 月 17 日 (金) 5 時 23 分 27 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:35:28 UTC 2023 年 4 月 8 日 (土) 15 時 35 分 28 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 1, 2023 21:38:48 UTC 2023 年 5 月 2 日 (火) 6 時 38 分 48 秒 (日本時間)

9×10²⁸¹+4

c260

composite cofactor 合成数の残り

32341781145669714361441309052088687768221933490187612108935589384015912772844098151199177139530844329790567480177924140272727313002392015263944569920162659243392446064927524730856391261609136350924048019479068681445106547251186339217666365298121769795850262263<260>

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 7, 2023 14:57:05 UTC 2023 年 3 月 7 日 (火) 23 時 57 分 5 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 16, 2023 20:23:34 UTC 2023 年 3 月 17 日 (金) 5 時 23 分 34 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:35:36 UTC 2023 年 4 月 8 日 (土) 15 時 35 分 36 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 28, 2023 21:40:07 UTC 2023 年 4 月 29 日 (土) 6 時 40 分 7 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 08:13:27 UTC 2023 年 5 月 12 日 (金) 17 時 13 分 27 秒 (日本時間)

9×10²⁸³+4

c247

composite cofactor 合成数の残り

2752346004205957613709942311846612006291340934148032014869894884437317801601306715948888024361996422648807130539837617516280957136178859079427627495858432441876569581207429676397933881171649970624389802945522092291493273011022646775032622685122251<247>

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 7, 2023 14:57:09 UTC 2023 年 3 月 7 日 (火) 23 時 57 分 9 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 22, 2023 23:45:11 UTC 2023 年 3 月 23 日 (木) 8 時 45 分 11 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 10, 2023 17:04:25 UTC 2023 年 4 月 11 日 (火) 2 時 4 分 25 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 1, 2023 21:39:03 UTC 2023 年 5 月 2 日 (火) 6 時 39 分 3 秒 (日本時間)

9×10²⁸⁴+4

c241

name 名前	Dmitry Domanov
date 日付	February 23, 2023 18:52:14 UTC 2023 年 2 月 24 日 (金) 3 時 52 分 14 秒 (日本時間)
composite number 合成数	2110837850853513108786800053240748780276611823843734848421204179430005660698300805994818447894017826867858504223418439099230813966086871597541668330036787210667834589912715675625876165887059899795178049104240248304696191188350359054728032161<241>
prime factors 素因数	2903631528418860326264757612152161<34>
composite cofactor 合成数の残り	726964778483083203554603564094113732736063016221840698183192473630442740999876922277396725415046212392492086009432411977288619889136130259328017076048427986324425255942436775620162408552511963092410863080001<207>
factorization results 素因数分解の結果	Resuming ECM residue saved by @04c39b586e47 with GMP-ECM 7.0.5-dev on Wed Feb 22 15:39:14 2023 Input number is 2110837850853513108786800053240748780276611823843734848421204179430005660698300805994818447894017826867858504223418439099230813966086871597541668330036787210667834589912715675625876165887059899795178049104240248304696191188350359054728032161 (241 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:738251334 Step 1 took 0ms Step 2 took 6315ms ********** Factor found in step 2: 2903631528418860326264757612152161 Found prime factor of 34 digits: 2903631528418860326264757612152161 Composite cofactor 726964778483083203554603564094113732736063016221840698183192473630442740999876922277396725415046212392492086009432411977288619889136130259328017076048427986324425255942436775620162408552511963092410863080001 has 207 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 7, 2023 14:57:12 UTC 2023 年 3 月 7 日 (火) 23 時 57 分 12 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 30, 2023 16:15:58 UTC 2023 年 3 月 31 日 (金) 1 時 15 分 58 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:37:20 UTC 2023 年 4 月 13 日 (木) 18 時 37 分 20 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 21, 2023 09:45:44 UTC 2023 年 4 月 21 日 (金) 18 時 45 分 44 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 21:29:30 UTC 2023 年 5 月 13 日 (土) 6 時 29 分 30 秒 (日本時間)

9×10²⁸⁵+4

c259

composite cofactor 合成数の残り

1684944651220031583898477255396280825128855903942454932098430576099609048917692018976951328868472649718625125576877822338424809379240167194216716701226599704786357565827166277136077014401138491679802973046209242072850732209343337659626370207309718838762844929<259>

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 7, 2023 14:57:41 UTC 2023 年 3 月 7 日 (火) 23 時 57 分 41 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 16, 2023 20:23:43 UTC 2023 年 3 月 17 日 (金) 5 時 23 分 43 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:35:43 UTC 2023 年 4 月 8 日 (土) 15 時 35 分 43 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	May 1, 2023 21:39:18 UTC 2023 年 5 月 2 日 (火) 6 時 39 分 18 秒 (日本時間)

9×10²⁸⁶+4

c277

composite cofactor 合成数の残り

1394795901794786872369647898874962293529276248633374868522423648913094789163498590744373073164509438884616437214205703687391543820590515592698222947504987891345009699188463600595274416867258211267045210484701647539917975882815040267677406562482594245080676341092833027088835257<277>

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 7, 2023 14:57:45 UTC 2023 年 3 月 7 日 (火) 23 時 57 分 45 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 17, 2023 23:01:47 UTC 2023 年 3 月 18 日 (土) 8 時 1 分 47 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:35:51 UTC 2023 年 4 月 8 日 (土) 15 時 35 分 51 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 28, 2023 21:39:36 UTC 2023 年 4 月 29 日 (土) 6 時 39 分 36 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 11, 2023 18:08:36 UTC 2023 年 5 月 12 日 (金) 3 時 8 分 36 秒 (日本時間)

9×10²⁸⁷+4

c252

name 名前	Dmitry Domanov
date 日付	February 23, 2023 18:49:25 UTC 2023 年 2 月 24 日 (金) 3 時 49 分 25 秒 (日本時間)
composite number 合成数	345492441439375138692551200617506159510130383256954488510142199300208668945737130192989504662769766981423301153802409624384573737888838949925651115812865389955773485668610713836331763711553405192853375751904653098947093899365023313695499943301456500449<252>
prime factors 素因数	8891237311994269205862621613095609292813<40> 38857633568424298041185555546751649988507917663649767894612221644723475957907129260952893892965006297699777773733796772340862613449027036585038031134628286293744768951236338085707150823877867815885744773793812773<212>
factorization results 素因数分解の結果	Resuming ECM residue saved by @04c39b586e47 with GMP-ECM 7.0.5-dev on Wed Feb 22 12:53:23 2023 Input number is 345492441439375138692551200617506159510130383256954488510142199300208668945737130192989504662769766981423301153802409624384573737888838949925651115812865389955773485668610713836331763711553405192853375751904653098947093899365023313695499943301456500449 (252 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2337342847 Step 1 took 0ms Step 2 took 6638ms ********** Factor found in step 2: 8891237311994269205862621613095609292813 Found prime factor of 40 digits: 8891237311994269205862621613095609292813 Prime cofactor 38857633568424298041185555546751649988507917663649767894612221644723475957907129260952893892965006297699777773733796772340862613449027036585038031134628286293744768951236338085707150823877867815885744773793812773 has 212 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)

9×10²⁸⁹+4

c261

composite cofactor 合成数の残り

828056693106269518648450256270991802061420646712030022768748427772335015374182903639767301216720041645428311183722841187830502058229611190099786320898123100037890496788952388734718058701301459122646123494373925812766978847016985605223488973076221222865590988983<261>

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 7, 2023 14:57:48 UTC 2023 年 3 月 7 日 (火) 23 時 57 分 48 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 16, 2023 20:23:53 UTC 2023 年 3 月 17 日 (金) 5 時 23 分 53 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:36:05 UTC 2023 年 4 月 8 日 (土) 15 時 36 分 5 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 3, 2023 13:53:00 UTC 2023 年 5 月 3 日 (水) 22 時 53 分 0 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 08:13:19 UTC 2023 年 5 月 12 日 (金) 17 時 13 分 19 秒 (日本時間)

9×10²⁹⁰+4

c265

composite cofactor 合成数の残り

2284764022628432968244866424813636254136919462153837062932490120758113497068003984549266267621087374119655775632879530580962436075000305717346297726853212076565981790924976457645511303366806157007930594934278637213502383599846964768622438599351296970237182969910837<265>

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 7, 2023 14:57:51 UTC 2023 年 3 月 7 日 (火) 23 時 57 分 51 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 16, 2023 20:24:02 UTC 2023 年 3 月 17 日 (金) 5 時 24 分 2 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:36:12 UTC 2023 年 4 月 8 日 (土) 15 時 36 分 12 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 3, 2023 13:53:11 UTC 2023 年 5 月 3 日 (水) 22 時 53 分 11 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 08:13:09 UTC 2023 年 5 月 12 日 (金) 17 時 13 分 9 秒 (日本時間)

9×10²⁹¹+4

c279

name 名前	Dmitry Domanov
date 日付	May 13, 2023 08:40:10 UTC 2023 年 5 月 13 日 (土) 17 時 40 分 10 秒 (日本時間)
composite number 合成数	840715709425552637433670103569447093621324008253698658189363839673961925523468640527342097779547685941857489547302801242973790249525693095658792118935351108951128630380456048215532994673588077251881078900699271236220993038794400602386753762774688974243399867314230658197928215837<279>
prime factors 素因数	297306202036098523842954128857628879069871444569<48>
composite cofactor 合成数の残り	2827777233262944355113603877829824835018689683656436962303290762941938050718025741379578685621114472036963245048693974597549611779693967538587583250721432594497404775505276763751476045728529021173533345149387818556417101000515356773<232>
factorization results 素因数分解の結果	Resuming ECM residue saved by @314a33bd7acf with GMP-ECM 7.0.5-dev on Thu May 11 22:18:42 2023 Input number is 840715709425552637433670103569447093621324008253698658189363839673961925523468640527342097779547685941857489547302801242973790249525693095658792118935351108951128630380456048215532994673588077251881078900699271236220993038794400602386753762774688974243399867314230658197928215837 (279 digits) Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:4153646447 Step 1 took 0ms Step 2 took 74900ms ********** Factor found in step 2: 297306202036098523842954128857628879069871444569 Found prime factor of 48 digits: 297306202036098523842954128857628879069871444569 Composite cofactor 2827777233262944355113603877829824835018689683656436962303290762941938050718025741379578685621114472036963245048693974597549611779693967538587583250721432594497404775505276763751476045728529021173533345149387818556417101000515356773 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 7, 2023 14:57:54 UTC 2023 年 3 月 7 日 (火) 23 時 57 分 54 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 17, 2023 23:01:39 UTC 2023 年 3 月 18 日 (土) 8 時 1 分 39 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:36:20 UTC 2023 年 4 月 8 日 (土) 15 時 36 分 20 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 28, 2023 21:39:10 UTC 2023 年 4 月 29 日 (土) 6 時 39 分 10 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 11, 2023 18:08:50 UTC 2023 年 5 月 12 日 (金) 3 時 8 分 50 秒 (日本時間)

9×10²⁹²+4

c277

composite cofactor 合成数の残り

1651064570984140733142985397766893105119281763656030378840382180495847031375608126284429162718495517058032750140076155786357190775833834220041005703346127232612171066192044500708401153885916635136824044350503744954804132477282252562399693957464427117812036942803293784830732729<277>

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 7, 2023 14:57:57 UTC 2023 年 3 月 7 日 (火) 23 時 57 分 57 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 17, 2023 23:01:32 UTC 2023 年 3 月 18 日 (土) 8 時 1 分 32 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:36:28 UTC 2023 年 4 月 8 日 (土) 15 時 36 分 28 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 28, 2023 21:39:19 UTC 2023 年 4 月 29 日 (土) 6 時 39 分 19 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 11, 2023 18:08:59 UTC 2023 年 5 月 12 日 (金) 3 時 8 分 59 秒 (日本時間)

9×10²⁹³+4

c269

name 名前	Dmitry Domanov
date 日付	February 23, 2023 18:48:57 UTC 2023 年 2 月 24 日 (金) 3 時 48 分 57 秒 (日本時間)
composite number 合成数	92776213649609158476018727967414065300314821650669532116221417688179277666938526765060587346782792430374241361797599709888536770261098224503662707584200331572447150731006614321823189036722387219395904289722889730786617967465190756109176696582190556711373368133297270729<269>
prime factors 素因数	1375401821262152230468345873383055385783<40> 67453897628601415643245248020812312518810698267233344286188826826164815816285189929895297678716799213725138318671998666747381223727216547452038895298100816522797709110614622455750390164098023333988753790956512469655763179104980863<230>
factorization results 素因数分解の結果	Resuming ECM residue saved by @04c39b586e47 with GMP-ECM 7.0.5-dev on Wed Feb 22 12:39:59 2023 Input number is 92776213649609158476018727967414065300314821650669532116221417688179277666938526765060587346782792430374241361797599709888536770261098224503662707584200331572447150731006614321823189036722387219395904289722889730786617967465190756109176696582190556711373368133297270729 (269 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1710949815 Step 1 took 0ms Step 2 took 6988ms ********** Factor found in step 2: 1375401821262152230468345873383055385783 Found prime factor of 40 digits: 1375401821262152230468345873383055385783 Prime cofactor 67453897628601415643245248020812312518810698267233344286188826826164815816285189929895297678716799213725138318671998666747381223727216547452038895298100816522797709110614622455750390164098023333988753790956512469655763179104980863 has 230 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)

9×10²⁹⁴+4

c262

name 名前	Dmitry Domanov
date 日付	March 22, 2023 11:49:53 UTC 2023 年 3 月 22 日 (水) 20 時 49 分 53 秒 (日本時間)
composite number 合成数	3951390003481662557059691197889006134932496820292698673392170483880889627167672295535179811197732267371880963240384609529103140718473236257354043052988372510934331187710525372636169409305107954477895420753936126372396897541494936113939452826126290733061458496501<262>
prime factors 素因数	8742077624041649548938108217030830061109<40> 451996673263906618852590047562373073146957531190045520016184781817855688690833133934170225923448716016333916491688868372453145406510378726051086213262678016393510747217563012920998829282234889048787663818136632252529604289<222>
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 00:27:44 2023 Input number is 3951390003481662557059691197889006134932496820292698673392170483880889627167672295535179811197732267371880963240384609529103140718473236257354043052988372510934331187710525372636169409305107954477895420753936126372396897541494936113939452826126290733061458496501 (262 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3441616125 Step 1 took 0ms Step 2 took 16425ms ********** Factor found in step 2: 8742077624041649548938108217030830061109 Found prime factor of 40 digits: 8742077624041649548938108217030830061109 Prime cofactor 451996673263906618852590047562373073146957531190045520016184781817855688690833133934170225923448716016333916491688868372453145406510378726051086213262678016393510747217563012920998829282234889048787663818136632252529604289 has 222 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 7, 2023 14:58:01 UTC 2023 年 3 月 7 日 (火) 23 時 58 分 1 秒 (日本時間)
45	11e6	1792 / 4038	Dmitry Domanov	March 16, 2023 20:24:12 UTC 2023 年 3 月 17 日 (金) 5 時 24 分 12 秒 (日本時間)

9×10²⁹⁶+4

c286

composite cofactor 合成数の残り

3395561467853122689203604379340674095542256969120905070512769033883648379120948429719919716040668724755518774093922575658093395704706067168762315431402445429785678717808331456823700223319176450658771566673180881313146418196945418584242088119283850620020595212458179492848971611913592469<286>

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 7, 2023 14:58:04 UTC 2023 年 3 月 7 日 (火) 23 時 58 分 4 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 17, 2023 23:01:22 UTC 2023 年 3 月 18 日 (土) 8 時 1 分 22 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:36:35 UTC 2023 年 4 月 8 日 (土) 15 時 36 分 35 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 28, 2023 21:39:27 UTC 2023 年 4 月 29 日 (土) 6 時 39 分 27 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 11, 2023 18:09:06 UTC 2023 年 5 月 12 日 (金) 3 時 9 分 6 秒 (日本時間)

9×10²⁹⁷+4

c233

composite cofactor 合成数の残り

11846047052789672144446385098388296336199949240099027650718343712162552942011063676657023884923579833547577900842277178188662667151878125973832054332066777151190777955855018005233851259997976377932730011915322102003928820695528856019<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 7, 2023 14:58:07 UTC 2023 年 3 月 7 日 (火) 23 時 58 分 7 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 22, 2023 23:45:19 UTC 2023 年 3 月 23 日 (木) 8 時 45 分 19 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 10, 2023 17:04:35 UTC 2023 年 4 月 11 日 (火) 2 時 4 分 35 秒 (日本時間)
50	43e6	1792 / 6675		Dmitry Domanov	April 27, 2023 15:23:52 UTC 2023 年 4 月 28 日 (金) 0 時 23 分 52 秒 (日本時間)

9×10²⁹⁸+4

c260

composite cofactor 合成数の残り

33878155590266222284344660494599223572921239966890592478032988623829467451065620926199472152364419337687830665404259307883709054000500802527176649678127867556062192553852351494753276009019545410240107085740902989449755762607472214046258293084717748595858803261<260>

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 7, 2023 14:58:10 UTC 2023 年 3 月 7 日 (火) 23 時 58 分 10 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 16, 2023 20:24:21 UTC 2023 年 3 月 17 日 (金) 5 時 24 分 21 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 8, 2023 06:36:44 UTC 2023 年 4 月 8 日 (土) 15 時 36 分 44 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 1, 2023 21:39:37 UTC 2023 年 5 月 2 日 (火) 6 時 39 分 37 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 08:13:01 UTC 2023 年 5 月 12 日 (金) 17 時 13 分 1 秒 (日本時間)

9×10²⁹⁹+4

c224

composite cofactor 合成数の残り

10915625358400199764321474257068032916504695620092887281360187661544422983899933782286684327865249074896993314936677280895441410437781227028494628211846966710676034866865158737828068818788923888635895620151523586846490217859<224>

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 7, 2023 14:58:14 UTC 2023 年 3 月 7 日 (火) 23 時 58 分 14 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	March 22, 2023 23:45:34 UTC 2023 年 3 月 23 日 (木) 8 時 45 分 34 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	April 13, 2023 09:37:29 UTC 2023 年 4 月 13 日 (木) 18 時 37 分 29 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	April 26, 2023 21:58:50 UTC 2023 年 4 月 27 日 (木) 6 時 58 分 50 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	May 12, 2023 18:12:55 UTC 2023 年 5 月 13 日 (土) 3 時 12 分 55 秒 (日本時間)

9×10³⁰⁰+4

c300

name 名前	Dmitry Domanov
date 日付	February 20, 2023 14:37:26 UTC 2023 年 2 月 20 日 (月) 23 時 37 分 26 秒 (日本時間)
composite number 合成数	173076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923077<300>
prime factors 素因数	7593930608112288378757772893598607337<37>
composite cofactor 合成数の残り	22791480724360585110978596604761697946265540440489628401383661751376681565952417014121046652591401040020744605135169485536068928703294130296550827159953758026553373313366794173624079998982068301734073261424228980763973581721194436876869017175217521592567173137021<263>
factorization results 素因数分解の結果	GPU: factor 7593930608112288378757772893598607337 found in Step 1 with curve 135 (-sigma 3:189440250) GPU: factor 7593930608112288378757772893598607337 found in Step 1 with curve 142 (-sigma 3:189440257) Computing 1792 Step 1 took 290ms of CPU time / 265702ms of GPU time Throughput: 6.744 curves per second (on average 148.27ms per Step 1) ********** Factor found in step 1: 7593930608112288378757772893598607337 Found prime factor of 37 digits: 7593930608112288378757772893598607337 Composite cofactor 22791480724360585110978596604761697946265540440489628401383661751376681565952417014121046652591401040020744605135169485536068928703294130296550827159953758026553373313366794173624079998982068301734073261424228980763973581721194436876869017175217521592567173137021 has 263 digits

c263

name 名前	Dmitry Domanov
date 日付	February 21, 2023 13:56:28 UTC 2023 年 2 月 21 日 (火) 22 時 56 分 28 秒 (日本時間)
composite number 合成数	22791480724360585110978596604761697946265540440489628401383661751376681565952417014121046652591401040020744605135169485536068928703294130296550827159953758026553373313366794173624079998982068301734073261424228980763973581721194436876869017175217521592567173137021<263>
prime factors 素因数	177374100713495489265820882473538490653<39> 128493847933158246960868953387337582674545161378965859345030290753916805909152866937543772961595529513974359078562210442793964482600679436040819351439528815504038633083035251524008316350197632316316747997796389526199812626657<225>
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 13:46:04 2023 Input number is 22791480724360585110978596604761697946265540440489628401383661751376681565952417014121046652591401040020744605135169485536068928703294130296550827159953758026553373313366794173624079998982068301734073261424228980763973581721194436876869017175217521592567173137021 (263 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:189441135 Step 1 took 0ms Step 2 took 6813ms ********** Factor found in step 2: 177374100713495489265820882473538490653 Found prime factor of 39 digits: 177374100713495489265820882473538490653 Prime cofactor 128493847933158246960868953387337582674545161378965859345030290753916805909152866937543772961595529513974359078562210442793964482600679436040819351439528815504038633083035251524008316350197632316316747997796389526199812626657 has 225 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)