Sun May 31 18:13:19 2026 Sun May 31 18:13:19 2026 Sun May 31 18:13:19 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun May 31 18:13:19 2026 random seeds: 486ead2d bd2bbe4d Sun May 31 18:13:19 2026 factoring 2025349684734458001233091300804002698555862014788559590093239817359068807717977425116005157972861167535073360589092455235760152732089470407532745449345988091 (157 digits) Sun May 31 18:13:20 2026 searching for 15-digit factors Sun May 31 18:13:21 2026 commencing number field sieve (157-digit input) Sun May 31 18:13:21 2026 R0: -3317075899054093191143668703127 Sun May 31 18:13:21 2026 R1: 174988533284530670813 Sun May 31 18:13:21 2026 A0: 649491626767379791287596410416576944 Sun May 31 18:13:21 2026 A1: 1268618267432002715180965277913 Sun May 31 18:13:21 2026 A2: -3198878950357852810741924 Sun May 31 18:13:21 2026 A3: -2671171219110288873 Sun May 31 18:13:21 2026 A4: 1287201626600 Sun May 31 18:13:21 2026 A5: 100800 Sun May 31 18:13:21 2026 skew 1258084.40, size 5.260e-15, alpha -7.428, combined = 3.158e-12 rroots = 5 Sun May 31 18:13:21 2026 Sun May 31 18:13:21 2026 commencing relation filtering Sun May 31 18:13:21 2026 estimated available RAM is 15942.9 MB Sun May 31 18:13:21 2026 commencing duplicate removal, pass 1 Sun May 31 18:24:29 2026 error -1 reading relation 59870355 Sun May 31 18:24:36 2026 found 3166661 hash collisions in 60493346 relations Sun May 31 18:25:31 2026 added 121294 free relations Sun May 31 18:25:31 2026 commencing duplicate removal, pass 2 Sun May 31 18:25:56 2026 found 0 duplicates and 60614640 unique relations Sun May 31 18:25:56 2026 memory use: 189.2 MB Sun May 31 18:25:57 2026 reading ideals above 720000 Sun May 31 18:25:57 2026 commencing singleton removal, initial pass Sun May 31 18:38:19 2026 memory use: 1506.0 MB Sun May 31 18:38:19 2026 reading all ideals from disk Sun May 31 18:38:21 2026 memory use: 2171.3 MB Sun May 31 18:38:30 2026 keeping 60295997 ideals with weight <= 200, target excess is 321739 Sun May 31 18:38:41 2026 commencing in-memory singleton removal Sun May 31 18:38:47 2026 begin with 60614640 relations and 60295997 unique ideals Sun May 31 18:39:24 2026 reduce to 31056446 relations and 26957924 ideals in 15 passes Sun May 31 18:39:24 2026 max relations containing the same ideal: 130 Sun May 31 18:39:43 2026 removing 2808439 relations and 2408439 ideals in 400000 cliques Sun May 31 18:39:45 2026 commencing in-memory singleton removal Sun May 31 18:39:47 2026 begin with 28248007 relations and 26957924 unique ideals Sun May 31 18:40:18 2026 reduce to 28065491 relations and 24364035 ideals in 9 passes Sun May 31 18:40:18 2026 max relations containing the same ideal: 123 Sun May 31 18:40:34 2026 removing 2113698 relations and 1713698 ideals in 400000 cliques Sun May 31 18:40:35 2026 commencing in-memory singleton removal Sun May 31 18:40:38 2026 begin with 25951793 relations and 24364035 unique ideals Sun May 31 18:40:59 2026 reduce to 25832108 relations and 22528974 ideals in 7 passes Sun May 31 18:40:59 2026 max relations containing the same ideal: 116 Sun May 31 18:41:15 2026 removing 1903608 relations and 1503608 ideals in 400000 cliques Sun May 31 18:41:16 2026 commencing in-memory singleton removal Sun May 31 18:41:18 2026 begin with 23928500 relations and 22528974 unique ideals Sun May 31 18:41:40 2026 reduce to 23823170 relations and 20918502 ideals in 8 passes Sun May 31 18:41:40 2026 max relations containing the same ideal: 109 Sun May 31 18:41:54 2026 removing 1790330 relations and 1390330 ideals in 400000 cliques Sun May 31 18:41:55 2026 commencing in-memory singleton removal Sun May 31 18:41:57 2026 begin with 22032840 relations and 20918502 unique ideals Sun May 31 18:42:15 2026 reduce to 21932087 relations and 19425901 ideals in 7 passes Sun May 31 18:42:15 2026 max relations containing the same ideal: 103 Sun May 31 18:42:27 2026 removing 1720744 relations and 1320744 ideals in 400000 cliques Sun May 31 18:42:28 2026 commencing in-memory singleton removal Sun May 31 18:42:30 2026 begin with 20211343 relations and 19425901 unique ideals Sun May 31 18:42:47 2026 reduce to 20111083 relations and 18003258 ideals in 7 passes Sun May 31 18:42:47 2026 max relations containing the same ideal: 98 Sun May 31 18:43:00 2026 removing 1676187 relations and 1276187 ideals in 400000 cliques Sun May 31 18:43:01 2026 commencing in-memory singleton removal Sun May 31 18:43:03 2026 begin with 18434896 relations and 18003258 unique ideals Sun May 31 18:43:18 2026 reduce to 18332757 relations and 16623301 ideals in 7 passes Sun May 31 18:43:18 2026 max relations containing the same ideal: 93 Sun May 31 18:43:30 2026 removing 1643501 relations and 1243501 ideals in 400000 cliques Sun May 31 18:43:31 2026 commencing in-memory singleton removal Sun May 31 18:43:32 2026 begin with 16689256 relations and 16623301 unique ideals Sun May 31 18:43:47 2026 reduce to 16582733 relations and 15271374 ideals in 7 passes Sun May 31 18:43:47 2026 max relations containing the same ideal: 87 Sun May 31 18:43:58 2026 removing 1622653 relations and 1222653 ideals in 400000 cliques Sun May 31 18:43:59 2026 commencing in-memory singleton removal Sun May 31 18:44:00 2026 begin with 14960080 relations and 15271374 unique ideals Sun May 31 18:44:13 2026 reduce to 14846417 relations and 13932820 ideals in 7 passes Sun May 31 18:44:13 2026 max relations containing the same ideal: 83 Sun May 31 18:44:22 2026 removing 1610890 relations and 1210890 ideals in 400000 cliques Sun May 31 18:44:23 2026 commencing in-memory singleton removal Sun May 31 18:44:24 2026 begin with 13235527 relations and 13932820 unique ideals Sun May 31 18:44:36 2026 reduce to 13110835 relations and 12594531 ideals in 8 passes Sun May 31 18:44:36 2026 max relations containing the same ideal: 77 Sun May 31 18:44:44 2026 removing 705461 relations and 562375 ideals in 143086 cliques Sun May 31 18:44:45 2026 commencing in-memory singleton removal Sun May 31 18:44:46 2026 begin with 12405374 relations and 12594531 unique ideals Sun May 31 18:44:57 2026 reduce to 12381285 relations and 12007840 ideals in 6 passes Sun May 31 18:44:57 2026 max relations containing the same ideal: 73 Sun May 31 18:45:09 2026 relations with 0 large ideals: 1120 Sun May 31 18:45:09 2026 relations with 1 large ideals: 4288 Sun May 31 18:45:09 2026 relations with 2 large ideals: 63970 Sun May 31 18:45:09 2026 relations with 3 large ideals: 411816 Sun May 31 18:45:09 2026 relations with 4 large ideals: 1420069 Sun May 31 18:45:09 2026 relations with 5 large ideals: 2841480 Sun May 31 18:45:09 2026 relations with 6 large ideals: 3472875 Sun May 31 18:45:09 2026 relations with 7+ large ideals: 4165667 Sun May 31 18:45:09 2026 commencing 2-way merge Sun May 31 18:45:18 2026 reduce to 7714969 relation sets and 7341524 unique ideals Sun May 31 18:45:18 2026 commencing full merge Sun May 31 18:48:10 2026 memory use: 939.1 MB Sun May 31 18:48:11 2026 found 3831373 cycles, need 3781724 Sun May 31 18:48:13 2026 weight of 3781724 cycles is about 340744727 (90.10/cycle) Sun May 31 18:48:13 2026 distribution of cycle lengths: Sun May 31 18:48:13 2026 1 relations: 292976 Sun May 31 18:48:13 2026 2 relations: 344602 Sun May 31 18:48:13 2026 3 relations: 363908 Sun May 31 18:48:13 2026 4 relations: 356023 Sun May 31 18:48:13 2026 5 relations: 345413 Sun May 31 18:48:13 2026 6 relations: 323829 Sun May 31 18:48:13 2026 7 relations: 304154 Sun May 31 18:48:13 2026 8 relations: 274694 Sun May 31 18:48:13 2026 9 relations: 243549 Sun May 31 18:48:13 2026 10+ relations: 932576 Sun May 31 18:48:13 2026 heaviest cycle: 22 relations Sun May 31 18:48:15 2026 commencing cycle optimization Sun May 31 18:48:26 2026 start with 25469687 relations Sun May 31 18:49:21 2026 pruned 842099 relations Sun May 31 18:49:21 2026 memory use: 771.7 MB Sun May 31 18:49:21 2026 distribution of cycle lengths: Sun May 31 18:49:21 2026 1 relations: 292976 Sun May 31 18:49:21 2026 2 relations: 352889 Sun May 31 18:49:21 2026 3 relations: 378462 Sun May 31 18:49:21 2026 4 relations: 368575 Sun May 31 18:49:21 2026 5 relations: 358426 Sun May 31 18:49:21 2026 6 relations: 334666 Sun May 31 18:49:21 2026 7 relations: 313643 Sun May 31 18:49:21 2026 8 relations: 280827 Sun May 31 18:49:21 2026 9 relations: 247634 Sun May 31 18:49:21 2026 10+ relations: 853626 Sun May 31 18:49:21 2026 heaviest cycle: 21 relations Sun May 31 18:49:29 2026 RelProcTime: 2168 Sun May 31 18:49:30 2026 elapsed time 00:36:11 Sun May 31 19:24:25 2026 Sun May 31 19:24:25 2026 Sun May 31 19:24:25 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun May 31 19:24:25 2026 random seeds: 2fe2adbd af4ba7c7 Sun May 31 19:24:25 2026 factoring 2025349684734458001233091300804002698555862014788559590093239817359068807717977425116005157972861167535073360589092455235760152732089470407532745449345988091 (157 digits) Sun May 31 19:24:27 2026 searching for 15-digit factors Sun May 31 19:24:27 2026 commencing number field sieve (157-digit input) Sun May 31 19:24:27 2026 R0: -3317075899054093191143668703127 Sun May 31 19:24:27 2026 R1: 174988533284530670813 Sun May 31 19:24:27 2026 A0: 649491626767379791287596410416576944 Sun May 31 19:24:27 2026 A1: 1268618267432002715180965277913 Sun May 31 19:24:27 2026 A2: -3198878950357852810741924 Sun May 31 19:24:27 2026 A3: -2671171219110288873 Sun May 31 19:24:27 2026 A4: 1287201626600 Sun May 31 19:24:27 2026 A5: 100800 Sun May 31 19:24:27 2026 skew 1258084.40, size 5.260e-15, alpha -7.428, combined = 3.158e-12 rroots = 5 Sun May 31 19:24:27 2026 Sun May 31 19:24:27 2026 commencing linear algebra Sun May 31 19:24:27 2026 using VBITS=512 Sun May 31 19:24:28 2026 read 3781724 cycles Sun May 31 19:24:37 2026 cycles contain 12169799 unique relations Sun May 31 19:26:14 2026 read 12169799 relations Sun May 31 19:26:30 2026 using 20 quadratic characters above 4294917295 Sun May 31 19:27:45 2026 building initial matrix Sun May 31 19:31:29 2026 memory use: 1647.1 MB Sun May 31 19:31:32 2026 read 3781724 cycles Sun May 31 19:31:33 2026 matrix is 3781546 x 3781724 (1408.2 MB) with weight 434330479 (114.85/col) Sun May 31 19:31:33 2026 sparse part has weight 323771658 (85.61/col) Sun May 31 19:32:21 2026 filtering completed in 2 passes Sun May 31 19:32:22 2026 matrix is 3781056 x 3781232 (1408.2 MB) with weight 434309696 (114.86/col) Sun May 31 19:32:22 2026 sparse part has weight 323765446 (85.62/col) Sun May 31 19:32:37 2026 matrix starts at (0, 0) Sun May 31 19:32:38 2026 matrix is 3781056 x 3781232 (1408.2 MB) with weight 434309696 (114.86/col) Sun May 31 19:32:38 2026 sparse part has weight 323765446 (85.62/col) Sun May 31 19:32:38 2026 saving the first 496 matrix rows for later Sun May 31 19:32:40 2026 matrix includes 512 packed rows Sun May 31 19:32:45 2026 matrix is 3780560 x 3781232 (1327.2 MB) with weight 274903625 (72.70/col) Sun May 31 19:32:45 2026 sparse part has weight 257179987 (68.01/col) Sun May 31 19:32:46 2026 using GPU 0 (NVIDIA GeForce GTX 1660) Sun May 31 19:32:46 2026 selected card has CUDA arch 7.5 Sun May 31 19:33:20 2026 commencing Lanczos iteration Sun May 31 19:33:21 2026 memory use: 3895.0 MB Sun May 31 19:33:55 2026 linear algebra at 0.4%, ETA 2h15m Sun May 31 19:33:57 2026 checkpointing every 1630000 dimensions Sun May 31 22:07:44 2026 lanczos halted after 7397 iterations (dim = 3780559) Sun May 31 22:08:57 2026 recovered 28 nontrivial dependencies Sun May 31 22:08:57 2026 BLanczosTime: 9870 Sun May 31 22:08:57 2026 Sun May 31 22:08:57 2026 commencing square root phase Sun May 31 22:08:57 2026 handling dependencies 1 to 64 Sun May 31 22:08:57 2026 reading relations for dependency 1 Sun May 31 22:08:58 2026 read 1888295 cycles Sun May 31 22:09:03 2026 cycles contain 6080478 unique relations Sun May 31 22:10:05 2026 read 6080478 relations Sun May 31 22:10:47 2026 multiplying 6080478 relations Sun May 31 22:22:08 2026 multiply complete, coefficients have about 323.81 million bits Sun May 31 22:22:12 2026 initial square root is modulo 645907 Sun May 31 22:35:33 2026 GCD is 1, no factor found Sun May 31 22:35:33 2026 reading relations for dependency 2 Sun May 31 22:35:33 2026 read 1890755 cycles Sun May 31 22:35:38 2026 cycles contain 6084820 unique relations Sun May 31 22:36:29 2026 read 6084820 relations Sun May 31 22:37:11 2026 multiplying 6084820 relations Sun May 31 22:48:26 2026 multiply complete, coefficients have about 324.04 million bits Sun May 31 22:48:29 2026 initial square root is modulo 652321 Sun May 31 23:01:49 2026 sqrtTime: 3172 Sun May 31 23:01:49 2026 p64 factor: 3858932129600822531039277671157813517384676471940397097133652051 Sun May 31 23:01:49 2026 p93 factor: 524847190029218050575069798634577946606028788683505481170630848687716333171220198307130554041 Sun May 31 23:01:49 2026 elapsed time 03:37:24