Mon Apr 17 06:40:40 2023 Mon Apr 17 06:40:40 2023 Mon Apr 17 06:40:40 2023 Msieve v. 1.54 (SVN 1043M) Mon Apr 17 06:40:40 2023 random seeds: 44f8ca99 14caa4f0 Mon Apr 17 06:40:40 2023 factoring 209546280643302109061909622330198842384115982002642018235237079664306831549608304687461176649571070089897719643720730095844531799921150807706299929889235866317920961 (165 digits) Mon Apr 17 06:40:41 2023 searching for 15-digit factors Mon Apr 17 06:40:41 2023 commencing number field sieve (165-digit input) Mon Apr 17 06:40:41 2023 R0: -104370051171120420636507380109815 Mon Apr 17 06:40:41 2023 R1: 94321620376807559 Mon Apr 17 06:40:41 2023 A0: 89013326016455899212967207685067875351904 Mon Apr 17 06:40:41 2023 A1: 33515388121461331277061560159537516 Mon Apr 17 06:40:41 2023 A2: -5387471330342347568935027736 Mon Apr 17 06:40:41 2023 A3: -521009427782304315247 Mon Apr 17 06:40:41 2023 A4: 5001498436746 Mon Apr 17 06:40:41 2023 A5: 16920 Mon Apr 17 06:40:41 2023 skew 32603830.54, size 4.456e-16, alpha -8.059, combined = 6.799e-13 rroots = 5 Mon Apr 17 06:40:41 2023 Mon Apr 17 06:40:41 2023 commencing relation filtering Mon Apr 17 06:40:41 2023 setting target matrix density to 140.0 Mon Apr 17 06:40:41 2023 estimated available RAM is 63624.2 MB Mon Apr 17 06:40:41 2023 commencing duplicate removal, pass 1 Mon Apr 17 06:42:48 2023 error -1 reading relation 10914723 Mon Apr 17 06:43:48 2023 error -1 reading relation 16502353 Mon Apr 17 06:44:38 2023 error -9 reading relation 21534012 Mon Apr 17 06:45:36 2023 error -15 reading relation 27605001 Mon Apr 17 06:45:36 2023 error -9 reading relation 27650171 Mon Apr 17 06:48:23 2023 error -9 reading relation 45447042 Mon Apr 17 06:50:03 2023 error -15 reading relation 55233952 Mon Apr 17 06:52:17 2023 error -9 reading relation 67802261 Mon Apr 17 06:52:36 2023 error -15 reading relation 69521187 Mon Apr 17 06:53:03 2023 error -9 reading relation 72441344 Mon Apr 17 06:54:01 2023 error -5 reading relation 77351609 Mon Apr 17 06:54:22 2023 error -9 reading relation 78883924 Mon Apr 17 06:56:25 2023 error -9 reading relation 90276429 Mon Apr 17 06:56:31 2023 error -9 reading relation 90788256 Mon Apr 17 06:56:31 2023 error -1 reading relation 90788257 Mon Apr 17 06:56:52 2023 error -9 reading relation 92683768 Mon Apr 17 06:56:52 2023 error -1 reading relation 92683769 Mon Apr 17 06:56:56 2023 error -15 reading relation 93094363 Mon Apr 17 06:57:05 2023 error -1 reading relation 93954764 Mon Apr 17 06:57:07 2023 error -15 reading relation 94175361 Mon Apr 17 06:57:19 2023 error -9 reading relation 95262747 Mon Apr 17 07:00:02 2023 error -15 reading relation 109868951 Mon Apr 17 07:01:13 2023 error -1 reading relation 117568428 Mon Apr 17 07:02:10 2023 error -9 reading relation 122892431 Mon Apr 17 07:02:41 2023 error -1 reading relation 126521300 Mon Apr 17 07:02:41 2023 error -1 reading relation 126529204 Mon Apr 17 07:02:47 2023 error -9 reading relation 127281197 Mon Apr 17 07:02:47 2023 error -15 reading relation 127300097 Mon Apr 17 07:04:41 2023 error -15 reading relation 140475725 Mon Apr 17 07:04:42 2023 skipped 1 relations with b > 2^32 Mon Apr 17 07:04:42 2023 skipped 15 relations with composite factors Mon Apr 17 07:04:42 2023 found 33034036 hash collisions in 140623584 relations Mon Apr 17 07:05:18 2023 added 122309 free relations Mon Apr 17 07:05:18 2023 commencing duplicate removal, pass 2 Mon Apr 17 07:06:33 2023 found 34248946 duplicates and 106496947 unique relations Mon Apr 17 07:06:33 2023 memory use: 724.8 MB Mon Apr 17 07:06:33 2023 reading ideals above 720000 Mon Apr 17 07:06:33 2023 commencing singleton removal, initial pass Mon Apr 17 07:25:24 2023 memory use: 2756.0 MB Mon Apr 17 07:25:24 2023 reading all ideals from disk Mon Apr 17 07:25:27 2023 memory use: 4031.6 MB Mon Apr 17 07:25:40 2023 keeping 92432465 ideals with weight <= 200, target excess is 566859 Mon Apr 17 07:25:57 2023 commencing in-memory singleton removal Mon Apr 17 07:26:08 2023 begin with 106496947 relations and 92432465 unique ideals Mon Apr 17 07:28:11 2023 reduce to 74809486 relations and 57968653 ideals in 13 passes Mon Apr 17 07:28:11 2023 max relations containing the same ideal: 165 Mon Apr 17 07:28:48 2023 removing 8307856 relations and 6307856 ideals in 2000000 cliques Mon Apr 17 07:28:52 2023 commencing in-memory singleton removal Mon Apr 17 07:28:59 2023 begin with 66501630 relations and 57968653 unique ideals Mon Apr 17 07:29:58 2023 reduce to 65800634 relations and 50937229 ideals in 7 passes Mon Apr 17 07:29:58 2023 max relations containing the same ideal: 155 Mon Apr 17 07:30:35 2023 removing 6584534 relations and 4584534 ideals in 2000000 cliques Mon Apr 17 07:30:41 2023 commencing in-memory singleton removal Mon Apr 17 07:30:48 2023 begin with 59216100 relations and 50937229 unique ideals Mon Apr 17 07:31:45 2023 reduce to 58726001 relations and 45848204 ideals in 7 passes Mon Apr 17 07:31:45 2023 max relations containing the same ideal: 141 Mon Apr 17 07:32:16 2023 removing 6117825 relations and 4117825 ideals in 2000000 cliques Mon Apr 17 07:32:20 2023 commencing in-memory singleton removal Mon Apr 17 07:32:25 2023 begin with 52608176 relations and 45848204 unique ideals Mon Apr 17 07:33:03 2023 reduce to 52168730 relations and 41277201 ideals in 6 passes Mon Apr 17 07:33:03 2023 max relations containing the same ideal: 133 Mon Apr 17 07:33:31 2023 removing 5876922 relations and 3876922 ideals in 2000000 cliques Mon Apr 17 07:33:34 2023 commencing in-memory singleton removal Mon Apr 17 07:33:38 2023 begin with 46291808 relations and 41277201 unique ideals Mon Apr 17 07:34:23 2023 reduce to 45864681 relations and 36959076 ideals in 8 passes Mon Apr 17 07:34:23 2023 max relations containing the same ideal: 123 Mon Apr 17 07:34:50 2023 removing 5727438 relations and 3727438 ideals in 2000000 cliques Mon Apr 17 07:34:53 2023 commencing in-memory singleton removal Mon Apr 17 07:34:56 2023 begin with 40137243 relations and 36959076 unique ideals Mon Apr 17 07:35:24 2023 reduce to 39702353 relations and 32780659 ideals in 7 passes Mon Apr 17 07:35:24 2023 max relations containing the same ideal: 111 Mon Apr 17 07:35:47 2023 removing 5623476 relations and 3623476 ideals in 2000000 cliques Mon Apr 17 07:35:50 2023 commencing in-memory singleton removal Mon Apr 17 07:35:53 2023 begin with 34078877 relations and 32780659 unique ideals Mon Apr 17 07:36:14 2023 reduce to 33612963 relations and 28671900 ideals in 7 passes Mon Apr 17 07:36:14 2023 max relations containing the same ideal: 98 Mon Apr 17 07:36:32 2023 removing 5551172 relations and 3551172 ideals in 2000000 cliques Mon Apr 17 07:36:35 2023 commencing in-memory singleton removal Mon Apr 17 07:36:37 2023 begin with 28061791 relations and 28671900 unique ideals Mon Apr 17 07:36:58 2023 reduce to 27536814 relations and 24569463 ideals in 7 passes Mon Apr 17 07:36:58 2023 max relations containing the same ideal: 85 Mon Apr 17 07:37:15 2023 removing 5513951 relations and 3513951 ideals in 2000000 cliques Mon Apr 17 07:37:18 2023 commencing in-memory singleton removal Mon Apr 17 07:37:20 2023 begin with 22022863 relations and 24569463 unique ideals Mon Apr 17 07:37:44 2023 reduce to 21365206 relations and 20358477 ideals in 8 passes Mon Apr 17 07:37:44 2023 max relations containing the same ideal: 72 Mon Apr 17 07:37:58 2023 removing 1341032 relations and 991860 ideals in 349172 cliques Mon Apr 17 07:38:01 2023 commencing in-memory singleton removal Mon Apr 17 07:38:04 2023 begin with 20024174 relations and 20358477 unique ideals Mon Apr 17 07:38:33 2023 reduce to 19957334 relations and 19298716 ideals in 7 passes Mon Apr 17 07:38:33 2023 max relations containing the same ideal: 69 Mon Apr 17 07:38:52 2023 relations with 0 large ideals: 1879 Mon Apr 17 07:38:52 2023 relations with 1 large ideals: 12532 Mon Apr 17 07:38:52 2023 relations with 2 large ideals: 163024 Mon Apr 17 07:38:52 2023 relations with 3 large ideals: 924421 Mon Apr 17 07:38:52 2023 relations with 4 large ideals: 2772987 Mon Apr 17 07:38:52 2023 relations with 5 large ideals: 4901455 Mon Apr 17 07:38:52 2023 relations with 6 large ideals: 5404966 Mon Apr 17 07:38:52 2023 relations with 7+ large ideals: 5776070 Mon Apr 17 07:38:52 2023 commencing 2-way merge Mon Apr 17 07:39:09 2023 reduce to 13784045 relation sets and 13125427 unique ideals Mon Apr 17 07:39:09 2023 commencing full merge Mon Apr 17 07:46:40 2023 memory use: 1623.0 MB Mon Apr 17 07:46:42 2023 found 5870182 cycles, need 5853627 Mon Apr 17 07:46:45 2023 weight of 5853627 cycles is about 819917985 (140.07/cycle) Mon Apr 17 07:46:45 2023 distribution of cycle lengths: Mon Apr 17 07:46:45 2023 1 relations: 97090 Mon Apr 17 07:46:45 2023 2 relations: 246656 Mon Apr 17 07:46:45 2023 3 relations: 329618 Mon Apr 17 07:46:45 2023 4 relations: 368773 Mon Apr 17 07:46:45 2023 5 relations: 404295 Mon Apr 17 07:46:45 2023 6 relations: 415834 Mon Apr 17 07:46:45 2023 7 relations: 422567 Mon Apr 17 07:46:45 2023 8 relations: 410948 Mon Apr 17 07:46:45 2023 9 relations: 397613 Mon Apr 17 07:46:45 2023 10+ relations: 2760233 Mon Apr 17 07:46:45 2023 heaviest cycle: 28 relations Mon Apr 17 07:46:47 2023 commencing cycle optimization Mon Apr 17 07:47:07 2023 start with 58299119 relations Mon Apr 17 07:50:30 2023 pruned 3465004 relations Mon Apr 17 07:50:30 2023 memory use: 1425.9 MB Mon Apr 17 07:50:30 2023 distribution of cycle lengths: Mon Apr 17 07:50:30 2023 1 relations: 97090 Mon Apr 17 07:50:30 2023 2 relations: 255110 Mon Apr 17 07:50:30 2023 3 relations: 346938 Mon Apr 17 07:50:30 2023 4 relations: 389778 Mon Apr 17 07:50:30 2023 5 relations: 431608 Mon Apr 17 07:50:30 2023 6 relations: 444389 Mon Apr 17 07:50:30 2023 7 relations: 454239 Mon Apr 17 07:50:30 2023 8 relations: 441271 Mon Apr 17 07:50:30 2023 9 relations: 425319 Mon Apr 17 07:50:30 2023 10+ relations: 2567885 Mon Apr 17 07:50:30 2023 heaviest cycle: 28 relations Mon Apr 17 07:50:43 2023 RelProcTime: 4202 Mon Apr 17 07:50:43 2023 elapsed time 01:10:03 Mon Apr 17 07:51:34 2023 Mon Apr 17 07:51:34 2023 Mon Apr 17 07:51:34 2023 Msieve v. 1.54 (SVN 1043M) Mon Apr 17 07:51:34 2023 random seeds: ef77d8a0 af9a02a6 Mon Apr 17 07:51:34 2023 factoring 209546280643302109061909622330198842384115982002642018235237079664306831549608304687461176649571070089897719643720730095844531799921150807706299929889235866317920961 (165 digits) Mon Apr 17 07:51:34 2023 searching for 15-digit factors Mon Apr 17 07:51:35 2023 commencing number field sieve (165-digit input) Mon Apr 17 07:51:35 2023 R0: -104370051171120420636507380109815 Mon Apr 17 07:51:35 2023 R1: 94321620376807559 Mon Apr 17 07:51:35 2023 A0: 89013326016455899212967207685067875351904 Mon Apr 17 07:51:35 2023 A1: 33515388121461331277061560159537516 Mon Apr 17 07:51:35 2023 A2: -5387471330342347568935027736 Mon Apr 17 07:51:35 2023 A3: -521009427782304315247 Mon Apr 17 07:51:35 2023 A4: 5001498436746 Mon Apr 17 07:51:35 2023 A5: 16920 Mon Apr 17 07:51:35 2023 skew 32603830.54, size 4.456e-16, alpha -8.059, combined = 6.799e-13 rroots = 5 Mon Apr 17 07:51:35 2023 Mon Apr 17 07:51:35 2023 commencing linear algebra Mon Apr 17 07:51:36 2023 read 5853627 cycles Mon Apr 17 07:51:57 2023 cycles contain 19654560 unique relations Mon Apr 17 07:54:49 2023 read 19654560 relations Mon Apr 17 07:55:32 2023 using 20 quadratic characters above 4294917295 Mon Apr 17 07:57:30 2023 building initial matrix Mon Apr 17 08:03:55 2023 memory use: 2773.5 MB Mon Apr 17 08:04:00 2023 read 5853627 cycles Mon Apr 17 08:04:02 2023 matrix is 5853448 x 5853627 (3101.2 MB) with weight 941140734 (160.78/col) Mon Apr 17 08:04:02 2023 sparse part has weight 742729552 (126.88/col) Mon Apr 17 08:05:32 2023 filtering completed in 2 passes Mon Apr 17 08:05:33 2023 matrix is 5853414 x 5853593 (3101.2 MB) with weight 941138844 (160.78/col) Mon Apr 17 08:05:33 2023 sparse part has weight 742728900 (126.88/col) Mon Apr 17 08:06:55 2023 matrix starts at (0, 0) Mon Apr 17 08:06:56 2023 matrix is 5853414 x 5853593 (3101.2 MB) with weight 941138844 (160.78/col) Mon Apr 17 08:06:56 2023 sparse part has weight 742728900 (126.88/col) Mon Apr 17 08:06:56 2023 saving the first 48 matrix rows for later Mon Apr 17 08:06:57 2023 matrix includes 64 packed rows Mon Apr 17 08:06:58 2023 matrix is 5853366 x 5853593 (3016.1 MB) with weight 815842535 (139.37/col) Mon Apr 17 08:06:58 2023 sparse part has weight 732122474 (125.07/col) Mon Apr 17 08:06:58 2023 using block size 8192 and superblock size 3514368 for processor cache size 36608 kB Mon Apr 17 08:07:24 2023 commencing Lanczos iteration Mon Apr 17 08:07:24 2023 memory use: 2785.4 MB Mon Apr 17 08:08:37 2023 lanczos halted after 15 iterations (dim = 946) Mon Apr 17 08:08:37 2023 BLanczosTime: 1022 Mon Apr 17 08:08:37 2023 elapsed time 00:17:03 Mon Apr 17 08:47:02 2023 Mon Apr 17 08:47:02 2023 Mon Apr 17 08:47:02 2023 Msieve v. 1.54 (SVN unknown) Mon Apr 17 08:47:02 2023 random seeds: 80b7892f 7be512b5 Mon Apr 17 08:47:02 2023 factoring 209546280643302109061909622330198842384115982002642018235237079664306831549608304687461176649571070089897719643720730095844531799921150807706299929889235866317920961 (165 digits) Mon Apr 17 08:47:02 2023 no P-1/P+1/ECM available, skipping Mon Apr 17 08:47:02 2023 commencing number field sieve (165-digit input) Mon Apr 17 08:47:02 2023 R0: -104370051171120420636507380109815 Mon Apr 17 08:47:02 2023 R1: 94321620376807559 Mon Apr 17 08:47:02 2023 A0: 89013326016455899212967207685067875351904 Mon Apr 17 08:47:02 2023 A1: 33515388121461331277061560159537516 Mon Apr 17 08:47:02 2023 A2: -5387471330342347568935027736 Mon Apr 17 08:47:02 2023 A3: -521009427782304315247 Mon Apr 17 08:47:02 2023 A4: 5001498436746 Mon Apr 17 08:47:02 2023 A5: 16920 Mon Apr 17 08:47:02 2023 skew 32603830.54, size 4.456e-16, alpha -8.059, combined = 6.799e-13 rroots = 5 Mon Apr 17 08:47:02 2023 Mon Apr 17 08:47:02 2023 commencing linear algebra Mon Apr 17 08:47:02 2023 using VBITS=128 Mon Apr 17 08:47:02 2023 skipping matrix build Mon Apr 17 08:47:05 2023 matrix starts at (0, 0) Mon Apr 17 08:47:06 2023 matrix is 5853414 x 5853593 (3101.2 MB) with weight 941138844 (160.78/col) Mon Apr 17 08:47:06 2023 sparse part has weight 742728900 (126.88/col) Mon Apr 17 08:47:06 2023 saving the first 112 matrix rows for later Mon Apr 17 08:47:08 2023 matrix includes 128 packed rows Mon Apr 17 08:47:09 2023 matrix is 5853302 x 5853593 (2844.1 MB) with weight 732122474 (125.07/col) Mon Apr 17 08:47:09 2023 sparse part has weight 675314935 (115.37/col) Mon Apr 17 08:47:10 2023 using GPU 0 (Tesla P100-PCIE-16GB) Mon Apr 17 08:47:10 2023 selected card has CUDA arch 6.0 Mon Apr 17 08:48:27 2023 commencing Lanczos iteration Mon Apr 17 08:48:27 2023 memory use: 6000.8 MB Mon Apr 17 08:48:31 2023 linear algebra at 0.0%, ETA 4h16m Mon Apr 17 08:48:32 2023 checkpointing every 1470000 dimensions Mon Apr 17 12:02:36 2023 lanczos halted after 46007 iterations (dim = 5853301) Mon Apr 17 12:02:47 2023 recovered 27 nontrivial dependencies Mon Apr 17 12:02:48 2023 BLanczosTime: 11746 Mon Apr 17 12:02:48 2023 elapsed time 03:15:46 Mon Apr 17 12:05:29 2023 Mon Apr 17 12:05:29 2023 Mon Apr 17 12:05:29 2023 Msieve v. 1.54 (SVN 1043M) Mon Apr 17 12:05:29 2023 random seeds: 11b9f36b cbe8759a Mon Apr 17 12:05:29 2023 factoring 209546280643302109061909622330198842384115982002642018235237079664306831549608304687461176649571070089897719643720730095844531799921150807706299929889235866317920961 (165 digits) Mon Apr 17 12:05:30 2023 searching for 15-digit factors Mon Apr 17 12:05:30 2023 commencing number field sieve (165-digit input) Mon Apr 17 12:05:30 2023 R0: -104370051171120420636507380109815 Mon Apr 17 12:05:30 2023 R1: 94321620376807559 Mon Apr 17 12:05:30 2023 A0: 89013326016455899212967207685067875351904 Mon Apr 17 12:05:30 2023 A1: 33515388121461331277061560159537516 Mon Apr 17 12:05:30 2023 A2: -5387471330342347568935027736 Mon Apr 17 12:05:30 2023 A3: -521009427782304315247 Mon Apr 17 12:05:30 2023 A4: 5001498436746 Mon Apr 17 12:05:30 2023 A5: 16920 Mon Apr 17 12:05:30 2023 skew 32603830.54, size 4.456e-16, alpha -8.059, combined = 6.799e-13 rroots = 5 Mon Apr 17 12:05:30 2023 Mon Apr 17 12:05:30 2023 commencing square root phase Mon Apr 17 12:05:30 2023 reading relations for dependency 1 Mon Apr 17 12:05:59 2023 read 2927067 cycles Mon Apr 17 12:06:06 2023 cycles contain 9825734 unique relations Mon Apr 17 12:10:16 2023 read 9825734 relations Mon Apr 17 12:11:13 2023 multiplying 9825734 relations Mon Apr 17 12:21:54 2023 multiply complete, coefficients have about 527.47 million bits Mon Apr 17 12:21:57 2023 initial square root is modulo 2914254379 Mon Apr 17 12:34:36 2023 sqrtTime: 1746 Mon Apr 17 12:34:36 2023 p69 factor: 786270164369736440497134101115673327350458488401739746539159903350181 Mon Apr 17 12:34:36 2023 p96 factor: 266506717587677489352714116288850767784972281522525225521131810209505412157426910296696891942381 Mon Apr 17 12:34:36 2023 elapsed time 00:29:07