Sun Oct 19 19:53:47 2025 Sun Oct 19 19:53:47 2025 Sun Oct 19 19:53:47 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Oct 19 19:53:47 2025 random seeds: da2a80e7 4f262768 Sun Oct 19 19:53:47 2025 factoring 1823661551712189779937333673585343082550097492584999494711625797028141770236196154809469171034588173238446399766858719731703649945042777689295978204652571408855365386384177254390431839738885947865605679518598341318883 (217 digits) Sun Oct 19 19:53:49 2025 searching for 15-digit factors Sun Oct 19 19:53:50 2025 commencing number field sieve (217-digit input) Sun Oct 19 19:53:50 2025 R0: 94962560811790273604447042914443660290 Sun Oct 19 19:53:50 2025 R1: -9744873565715990017 Sun Oct 19 19:53:50 2025 A0: -1 Sun Oct 19 19:53:50 2025 A1: 3 Sun Oct 19 19:53:50 2025 A2: 6 Sun Oct 19 19:53:50 2025 A3: -4 Sun Oct 19 19:53:50 2025 A4: -5 Sun Oct 19 19:53:50 2025 A5: 1 Sun Oct 19 19:53:50 2025 A6: 1 Sun Oct 19 19:53:50 2025 skew 1.37, size 3.177e-11, alpha 3.126, combined = 1.455e-12 rroots = 6 Sun Oct 19 19:53:50 2025 Sun Oct 19 19:53:50 2025 commencing relation filtering Sun Oct 19 19:53:50 2025 setting target matrix density to 110.0 Sun Oct 19 19:53:50 2025 estimated available RAM is 15938.6 MB Sun Oct 19 19:53:50 2025 commencing duplicate removal, pass 1 Sun Oct 19 20:13:57 2025 skipped 2 relations with b > 2^32 Sun Oct 19 20:13:57 2025 found 4324694 hash collisions in 99329508 relations Sun Oct 19 20:14:14 2025 added 2438358 free relations Sun Oct 19 20:14:14 2025 commencing duplicate removal, pass 2 Sun Oct 19 20:15:13 2025 found 0 duplicates and 101767866 unique relations Sun Oct 19 20:15:13 2025 memory use: 261.2 MB Sun Oct 19 20:15:13 2025 reading ideals above 64028672 Sun Oct 19 20:15:13 2025 commencing singleton removal, initial pass Sun Oct 19 20:33:11 2025 memory use: 2756.0 MB Sun Oct 19 20:33:12 2025 reading all ideals from disk Sun Oct 19 20:33:17 2025 memory use: 1856.2 MB Sun Oct 19 20:33:27 2025 commencing in-memory singleton removal Sun Oct 19 20:33:36 2025 begin with 101767866 relations and 84651649 unique ideals Sun Oct 19 20:35:07 2025 reduce to 68528949 relations and 48156733 ideals in 12 passes Sun Oct 19 20:35:07 2025 max relations containing the same ideal: 30 Sun Oct 19 20:35:17 2025 reading ideals above 720000 Sun Oct 19 20:35:17 2025 commencing singleton removal, initial pass Sun Oct 19 20:52:04 2025 memory use: 1506.0 MB Sun Oct 19 20:52:04 2025 reading all ideals from disk Sun Oct 19 20:52:11 2025 memory use: 2569.4 MB Sun Oct 19 20:52:25 2025 keeping 55390916 ideals with weight <= 200, target excess is 339093 Sun Oct 19 20:52:42 2025 commencing in-memory singleton removal Sun Oct 19 20:52:54 2025 begin with 68528949 relations and 55390916 unique ideals Sun Oct 19 20:53:35 2025 reduce to 68528941 relations and 55390908 ideals in 3 passes Sun Oct 19 20:53:35 2025 max relations containing the same ideal: 200 Sun Oct 19 20:54:44 2025 removing 8649023 relations and 6649023 ideals in 2000000 cliques Sun Oct 19 20:54:48 2025 commencing in-memory singleton removal Sun Oct 19 20:55:00 2025 begin with 59879918 relations and 55390908 unique ideals Sun Oct 19 20:56:42 2025 reduce to 58883746 relations and 47708673 ideals in 9 passes Sun Oct 19 20:56:42 2025 max relations containing the same ideal: 190 Sun Oct 19 20:57:40 2025 removing 7039809 relations and 5039809 ideals in 2000000 cliques Sun Oct 19 20:57:45 2025 commencing in-memory singleton removal Sun Oct 19 20:57:55 2025 begin with 51843937 relations and 47708673 unique ideals Sun Oct 19 20:59:16 2025 reduce to 51128376 relations and 41928248 ideals in 8 passes Sun Oct 19 20:59:16 2025 max relations containing the same ideal: 175 Sun Oct 19 21:00:07 2025 removing 6569446 relations and 4569446 ideals in 2000000 cliques Sun Oct 19 21:00:11 2025 commencing in-memory singleton removal Sun Oct 19 21:00:20 2025 begin with 44558930 relations and 41928248 unique ideals Sun Oct 19 21:01:27 2025 reduce to 43874426 relations and 36648312 ideals in 8 passes Sun Oct 19 21:01:27 2025 max relations containing the same ideal: 159 Sun Oct 19 21:02:12 2025 removing 6366101 relations and 4366101 ideals in 2000000 cliques Sun Oct 19 21:02:17 2025 commencing in-memory singleton removal Sun Oct 19 21:02:24 2025 begin with 37508325 relations and 36648312 unique ideals Sun Oct 19 21:03:21 2025 reduce to 36787754 relations and 31531152 ideals in 8 passes Sun Oct 19 21:03:21 2025 max relations containing the same ideal: 143 Sun Oct 19 21:04:00 2025 removing 6271517 relations and 4271517 ideals in 2000000 cliques Sun Oct 19 21:04:04 2025 commencing in-memory singleton removal Sun Oct 19 21:04:10 2025 begin with 30516237 relations and 31531152 unique ideals Sun Oct 19 21:04:55 2025 reduce to 29707157 relations and 26410165 ideals in 8 passes Sun Oct 19 21:04:55 2025 max relations containing the same ideal: 124 Sun Oct 19 21:05:27 2025 removing 6235172 relations and 4235172 ideals in 2000000 cliques Sun Oct 19 21:05:31 2025 commencing in-memory singleton removal Sun Oct 19 21:05:35 2025 begin with 23471985 relations and 26410165 unique ideals Sun Oct 19 21:06:14 2025 reduce to 22506103 relations and 21148855 ideals in 9 passes Sun Oct 19 21:06:14 2025 max relations containing the same ideal: 102 Sun Oct 19 21:06:38 2025 removing 3511932 relations and 2548032 ideals in 963900 cliques Sun Oct 19 21:06:40 2025 commencing in-memory singleton removal Sun Oct 19 21:06:43 2025 begin with 18994171 relations and 21148855 unique ideals Sun Oct 19 21:07:12 2025 reduce to 18572410 relations and 18162006 ideals in 8 passes Sun Oct 19 21:07:12 2025 max relations containing the same ideal: 88 Sun Oct 19 21:07:33 2025 removing 121658 relations and 104602 ideals in 17056 cliques Sun Oct 19 21:07:35 2025 commencing in-memory singleton removal Sun Oct 19 21:07:37 2025 begin with 18450752 relations and 18162006 unique ideals Sun Oct 19 21:07:54 2025 reduce to 18450241 relations and 18056892 ideals in 5 passes Sun Oct 19 21:07:54 2025 max relations containing the same ideal: 87 Sun Oct 19 21:08:02 2025 relations with 0 large ideals: 24785 Sun Oct 19 21:08:02 2025 relations with 1 large ideals: 6387 Sun Oct 19 21:08:02 2025 relations with 2 large ideals: 43979 Sun Oct 19 21:08:02 2025 relations with 3 large ideals: 323799 Sun Oct 19 21:08:02 2025 relations with 4 large ideals: 1310066 Sun Oct 19 21:08:02 2025 relations with 5 large ideals: 3160826 Sun Oct 19 21:08:02 2025 relations with 6 large ideals: 4737635 Sun Oct 19 21:08:02 2025 relations with 7+ large ideals: 8842764 Sun Oct 19 21:08:02 2025 commencing 2-way merge Sun Oct 19 21:08:27 2025 reduce to 12024950 relation sets and 11631601 unique ideals Sun Oct 19 21:08:27 2025 commencing full merge Sun Oct 19 21:18:19 2025 memory use: 1676.0 MB Sun Oct 19 21:18:21 2025 found 5562376 cycles, need 5559801 Sun Oct 19 21:18:25 2025 weight of 5559801 cycles is about 611580732 (110.00/cycle) Sun Oct 19 21:18:25 2025 distribution of cycle lengths: Sun Oct 19 21:18:25 2025 1 relations: 296311 Sun Oct 19 21:18:25 2025 2 relations: 378657 Sun Oct 19 21:18:25 2025 3 relations: 418677 Sun Oct 19 21:18:25 2025 4 relations: 419269 Sun Oct 19 21:18:25 2025 5 relations: 418576 Sun Oct 19 21:18:25 2025 6 relations: 406013 Sun Oct 19 21:18:25 2025 7 relations: 391203 Sun Oct 19 21:18:25 2025 8 relations: 369939 Sun Oct 19 21:18:25 2025 9 relations: 344143 Sun Oct 19 21:18:25 2025 10+ relations: 2117013 Sun Oct 19 21:18:25 2025 heaviest cycle: 28 relations Sun Oct 19 21:18:28 2025 commencing cycle optimization Sun Oct 19 21:18:51 2025 start with 48228431 relations Sun Oct 19 21:22:33 2025 pruned 2164764 relations Sun Oct 19 21:22:33 2025 memory use: 1263.2 MB Sun Oct 19 21:22:33 2025 distribution of cycle lengths: Sun Oct 19 21:22:33 2025 1 relations: 296311 Sun Oct 19 21:22:33 2025 2 relations: 386397 Sun Oct 19 21:22:33 2025 3 relations: 434423 Sun Oct 19 21:22:33 2025 4 relations: 435409 Sun Oct 19 21:22:33 2025 5 relations: 438164 Sun Oct 19 21:22:33 2025 6 relations: 424005 Sun Oct 19 21:22:33 2025 7 relations: 410786 Sun Oct 19 21:22:33 2025 8 relations: 386663 Sun Oct 19 21:22:33 2025 9 relations: 358863 Sun Oct 19 21:22:33 2025 10+ relations: 1988780 Sun Oct 19 21:22:33 2025 heaviest cycle: 28 relations Sun Oct 19 21:22:52 2025 RelProcTime: 5342 Sun Oct 19 21:22:52 2025 Sun Oct 19 21:22:52 2025 commencing linear algebra Sun Oct 19 21:22:52 2025 using VBITS=512 Sun Oct 19 21:22:53 2025 read 5559801 cycles Sun Oct 19 21:23:15 2025 cycles contain 18226100 unique relations Sun Oct 19 21:26:26 2025 read 18226100 relations Sun Oct 19 21:27:28 2025 using 20 quadratic characters above 4294917295 Sun Oct 19 21:29:36 2025 building initial matrix Sun Oct 19 21:38:24 2025 memory use: 2242.8 MB Sun Oct 19 21:38:32 2025 read 5559801 cycles Sun Oct 19 21:38:33 2025 matrix is 5559624 x 5559801 (2396.7 MB) with weight 679391592 (122.20/col) Sun Oct 19 21:38:33 2025 sparse part has weight 572687724 (103.01/col) Sun Oct 19 21:40:58 2025 filtering completed in 2 passes Sun Oct 19 21:41:01 2025 matrix is 5559577 x 5559720 (2396.7 MB) with weight 679389626 (122.20/col) Sun Oct 19 21:41:01 2025 sparse part has weight 572687080 (103.01/col) Sun Oct 19 21:41:44 2025 matrix starts at (0, 0) Sun Oct 19 21:41:45 2025 matrix is 5559577 x 5559720 (2396.7 MB) with weight 679389626 (122.20/col) Sun Oct 19 21:41:45 2025 sparse part has weight 572687080 (103.01/col) Sun Oct 19 21:41:45 2025 saving the first 496 matrix rows for later Sun Oct 19 21:41:50 2025 matrix includes 512 packed rows Sun Oct 19 21:42:00 2025 matrix is 5559081 x 5559720 (2279.1 MB) with weight 491067217 (88.33/col) Sun Oct 19 21:42:00 2025 sparse part has weight 464025587 (83.46/col) Sun Oct 19 21:57:48 2025 Sun Oct 19 21:57:48 2025 Sun Oct 19 21:57:48 2025 Msieve v. 1.54 (SVN unknown) Sun Oct 19 21:57:48 2025 random seeds: 7f2bfd6f 8b68ac4b Sun Oct 19 21:57:48 2025 factoring 1823661551712189779937333673585343082550097492584999494711625797028141770236196154809469171034588173238446399766858719731703649945042777689295978204652571408855365386384177254390431839738885947865605679518598341318883 (217 digits) Sun Oct 19 21:57:49 2025 no P-1/P+1/ECM available, skipping Sun Oct 19 21:57:49 2025 commencing number field sieve (217-digit input) Sun Oct 19 21:57:49 2025 R0: 94962560811790273604447042914443660290 Sun Oct 19 21:57:49 2025 R1: -9744873565715990017 Sun Oct 19 21:57:49 2025 A0: -1 Sun Oct 19 21:57:49 2025 A1: 3 Sun Oct 19 21:57:49 2025 A2: 6 Sun Oct 19 21:57:49 2025 A3: -4 Sun Oct 19 21:57:49 2025 A4: -5 Sun Oct 19 21:57:49 2025 A5: 1 Sun Oct 19 21:57:49 2025 A6: 1 Sun Oct 19 21:57:49 2025 skew 1.37, size 3.177e-11, alpha 3.126, combined = 1.455e-12 rroots = 6 Sun Oct 19 21:57:49 2025 Sun Oct 19 21:57:49 2025 commencing linear algebra Sun Oct 19 21:57:49 2025 using VBITS=512 Sun Oct 19 21:57:49 2025 skipping matrix build Sun Oct 19 21:57:51 2025 matrix starts at (0, 0) Sun Oct 19 21:57:51 2025 matrix is 5559577 x 5559720 (2396.7 MB) with weight 679389626 (122.20/col) Sun Oct 19 21:57:51 2025 sparse part has weight 572687080 (103.01/col) Sun Oct 19 21:57:51 2025 saving the first 496 matrix rows for later Sun Oct 19 21:57:53 2025 matrix includes 512 packed rows Sun Oct 19 21:57:56 2025 matrix is 5559081 x 5559720 (2279.1 MB) with weight 491067217 (88.33/col) Sun Oct 19 21:57:56 2025 sparse part has weight 464025587 (83.46/col) Sun Oct 19 21:57:56 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Sun Oct 19 21:57:56 2025 selected card has CUDA arch 8.6 Sun Oct 19 21:58:26 2025 commencing Lanczos iteration Sun Oct 19 21:58:27 2025 memory use: 6339.8 MB Sun Oct 19 21:58:52 2025 linear algebra at 0.3%, ETA 2h30m Sun Oct 19 21:58:53 2025 checkpointing every 2200000 dimensions Mon Oct 20 00:08:43 2025 lanczos halted after 10875 iterations (dim = 5559075) Mon Oct 20 00:10:10 2025 recovered 29 nontrivial dependencies Mon Oct 20 00:10:10 2025 BLanczosTime: 7941 Mon Oct 20 00:10:10 2025 elapsed time 02:12:22 Mon Oct 20 01:38:30 2025 Mon Oct 20 01:38:30 2025 Mon Oct 20 01:38:30 2025 Msieve v. 1.54 (SVN unknown) Mon Oct 20 01:38:30 2025 random seeds: 8c91c12a 6dc3e48f Mon Oct 20 01:38:30 2025 factoring 1823661551712189779937333673585343082550097492584999494711625797028141770236196154809469171034588173238446399766858719731703649945042777689295978204652571408855365386384177254390431839738885947865605679518598341318883 (217 digits) Mon Oct 20 01:38:31 2025 no P-1/P+1/ECM available, skipping Mon Oct 20 01:38:31 2025 commencing number field sieve (217-digit input) Mon Oct 20 01:38:31 2025 R0: 94962560811790273604447042914443660290 Mon Oct 20 01:38:31 2025 R1: -9744873565715990017 Mon Oct 20 01:38:31 2025 A0: -1 Mon Oct 20 01:38:31 2025 A1: 3 Mon Oct 20 01:38:31 2025 A2: 6 Mon Oct 20 01:38:31 2025 A3: -4 Mon Oct 20 01:38:31 2025 A4: -5 Mon Oct 20 01:38:31 2025 A5: 1 Mon Oct 20 01:38:31 2025 A6: 1 Mon Oct 20 01:38:31 2025 skew 1.37, size 3.177e-11, alpha 3.126, combined = 1.455e-12 rroots = 6 Mon Oct 20 01:38:31 2025 Mon Oct 20 01:38:31 2025 commencing square root phase Mon Oct 20 01:38:31 2025 reading relations for dependency 1 Mon Oct 20 01:38:32 2025 read 2779151 cycles Mon Oct 20 01:38:36 2025 cycles contain 9113178 unique relations Mon Oct 20 01:39:16 2025 read 9113178 relations Mon Oct 20 01:39:49 2025 multiplying 9113178 relations Mon Oct 20 01:44:00 2025 multiply complete, coefficients have about 220.91 million bits Mon Oct 20 01:44:01 2025 initial square root is modulo 84715339 Mon Oct 20 01:48:47 2025 sqrtTime: 616 Mon Oct 20 01:48:47 2025 p76 factor: 3058871879959385974836268334358548607682488465502694291519180018351112096133 Mon Oct 20 01:48:47 2025 p141 factor: 596187621868099738461157783250790408057907362064922435110891451007222108267078401923764983059789878890359658870454240036030282360585069031751 Mon Oct 20 01:48:47 2025 elapsed time 00:10:17