Sun May 3 11:42:15 2026 Sun May 3 11:42:15 2026 Sun May 3 11:42:15 2026 Msieve v. 1.54 (SVN unknown) Sun May 3 11:42:15 2026 random seeds: fd27573f c7cbf154 Sun May 3 11:42:15 2026 factoring 2421805590980848471956094722416083226385029718406717250047348821388208482539270242818742658554589320823238758110709777687487493273595034268041089882680527566313 (160 digits) Sun May 3 11:42:16 2026 no P-1/P+1/ECM available, skipping Sun May 3 11:42:16 2026 commencing number field sieve (160-digit input) Sun May 3 11:42:16 2026 R0: -10555312235851670694539017713378 Sun May 3 11:42:16 2026 R1: 409754174987080582363 Sun May 3 11:42:16 2026 A0: -82558700938353422671658594379033600 Sun May 3 11:42:16 2026 A1: 314313836640811397566854263968 Sun May 3 11:42:16 2026 A2: 3250072280162720931037047 Sun May 3 11:42:16 2026 A3: -894329228819005453 Sun May 3 11:42:16 2026 A4: 1077253502580 Sun May 3 11:42:16 2026 A5: 221760 Sun May 3 11:42:16 2026 skew 1.00, size 2.352e-15, alpha -6.549, combined = 2.720e-14 rroots = 3 Sun May 3 11:42:16 2026 Sun May 3 11:42:16 2026 commencing relation filtering Sun May 3 11:42:16 2026 setting target matrix density to 100.0 Sun May 3 11:42:16 2026 estimated available RAM is 7902.4 MB Sun May 3 11:42:16 2026 commencing duplicate removal, pass 1 Sun May 3 11:58:29 2026 found 5928509 hash collisions in 116947739 relations Sun May 3 11:59:05 2026 added 122427 free relations Sun May 3 11:59:05 2026 commencing duplicate removal, pass 2 Sun May 3 11:59:58 2026 found 0 duplicates and 117070166 unique relations Sun May 3 11:59:58 2026 memory use: 378.4 MB Sun May 3 11:59:58 2026 reading ideals above 53018624 Sun May 3 11:59:58 2026 commencing singleton removal, initial pass Sun May 3 12:12:50 2026 memory use: 3012.0 MB Sun May 3 12:12:50 2026 reading all ideals from disk Sun May 3 12:12:56 2026 memory use: 2055.4 MB Sun May 3 12:13:02 2026 commencing in-memory singleton removal Sun May 3 12:13:07 2026 begin with 117070166 relations and 109099746 unique ideals Sun May 3 12:13:57 2026 reduce to 58761470 relations and 42955901 ideals in 15 passes Sun May 3 12:13:57 2026 max relations containing the same ideal: 25 Sun May 3 12:14:01 2026 reading ideals above 720000 Sun May 3 12:14:01 2026 commencing singleton removal, initial pass Sun May 3 12:22:22 2026 memory use: 1378.0 MB Sun May 3 12:22:22 2026 reading all ideals from disk Sun May 3 12:22:28 2026 memory use: 2130.3 MB Sun May 3 12:22:34 2026 keeping 48976425 ideals with weight <= 200, target excess is 320585 Sun May 3 12:22:41 2026 commencing in-memory singleton removal Sun May 3 12:22:46 2026 begin with 58761472 relations and 48976425 unique ideals Sun May 3 12:23:37 2026 reduce to 58757724 relations and 48972675 ideals in 10 passes Sun May 3 12:23:37 2026 max relations containing the same ideal: 200 Sun May 3 12:24:08 2026 removing 6431215 relations and 5431215 ideals in 1000000 cliques Sun May 3 12:24:11 2026 commencing in-memory singleton removal Sun May 3 12:24:16 2026 begin with 52326509 relations and 48972675 unique ideals Sun May 3 12:24:58 2026 reduce to 51817975 relations and 43022019 ideals in 10 passes Sun May 3 12:24:58 2026 max relations containing the same ideal: 192 Sun May 3 12:25:22 2026 removing 4813267 relations and 3813267 ideals in 1000000 cliques Sun May 3 12:25:25 2026 commencing in-memory singleton removal Sun May 3 12:25:28 2026 begin with 47004708 relations and 43022019 unique ideals Sun May 3 12:25:54 2026 reduce to 46668301 relations and 38865756 ideals in 8 passes Sun May 3 12:25:54 2026 max relations containing the same ideal: 180 Sun May 3 12:26:15 2026 removing 4320132 relations and 3320132 ideals in 1000000 cliques Sun May 3 12:26:18 2026 commencing in-memory singleton removal Sun May 3 12:26:21 2026 begin with 42348169 relations and 38865756 unique ideals Sun May 3 12:26:44 2026 reduce to 42047785 relations and 35239292 ideals in 8 passes Sun May 3 12:26:44 2026 max relations containing the same ideal: 168 Sun May 3 12:27:04 2026 removing 4062382 relations and 3062382 ideals in 1000000 cliques Sun May 3 12:27:06 2026 commencing in-memory singleton removal Sun May 3 12:27:09 2026 begin with 37985403 relations and 35239292 unique ideals Sun May 3 12:27:30 2026 reduce to 37697437 relations and 31882540 ideals in 8 passes Sun May 3 12:27:30 2026 max relations containing the same ideal: 157 Sun May 3 12:27:47 2026 removing 3904407 relations and 2904407 ideals in 1000000 cliques Sun May 3 12:27:49 2026 commencing in-memory singleton removal Sun May 3 12:27:52 2026 begin with 33793030 relations and 31882540 unique ideals Sun May 3 12:28:10 2026 reduce to 33500295 relations and 28678575 ideals in 8 passes Sun May 3 12:28:10 2026 max relations containing the same ideal: 146 Sun May 3 12:28:26 2026 removing 3796406 relations and 2796406 ideals in 1000000 cliques Sun May 3 12:28:28 2026 commencing in-memory singleton removal Sun May 3 12:28:30 2026 begin with 29703889 relations and 28678575 unique ideals Sun May 3 12:28:46 2026 reduce to 29398779 relations and 25569220 ideals in 8 passes Sun May 3 12:28:46 2026 max relations containing the same ideal: 132 Sun May 3 12:28:59 2026 removing 3730164 relations and 2730164 ideals in 1000000 cliques Sun May 3 12:29:01 2026 commencing in-memory singleton removal Sun May 3 12:29:03 2026 begin with 25668615 relations and 25569220 unique ideals Sun May 3 12:29:19 2026 reduce to 25340126 relations and 22501049 ideals in 9 passes Sun May 3 12:29:19 2026 max relations containing the same ideal: 120 Sun May 3 12:29:30 2026 removing 3687303 relations and 2687303 ideals in 1000000 cliques Sun May 3 12:29:32 2026 commencing in-memory singleton removal Sun May 3 12:29:34 2026 begin with 21652823 relations and 22501049 unique ideals Sun May 3 12:29:45 2026 reduce to 21286755 relations and 19435458 ideals in 8 passes Sun May 3 12:29:45 2026 max relations containing the same ideal: 108 Sun May 3 12:29:54 2026 removing 3657795 relations and 2657795 ideals in 1000000 cliques Sun May 3 12:29:56 2026 commencing in-memory singleton removal Sun May 3 12:29:57 2026 begin with 17628960 relations and 19435458 unique ideals Sun May 3 12:30:07 2026 reduce to 17204678 relations and 16336665 ideals in 8 passes Sun May 3 12:30:07 2026 max relations containing the same ideal: 93 Sun May 3 12:30:14 2026 removing 2109134 relations and 1613000 ideals in 496134 cliques Sun May 3 12:30:16 2026 commencing in-memory singleton removal Sun May 3 12:30:17 2026 begin with 15095544 relations and 16336665 unique ideals Sun May 3 12:30:24 2026 reduce to 14930443 relations and 14554549 ideals in 7 passes Sun May 3 12:30:24 2026 max relations containing the same ideal: 84 Sun May 3 12:30:33 2026 relations with 0 large ideals: 1101 Sun May 3 12:30:33 2026 relations with 1 large ideals: 3744 Sun May 3 12:30:33 2026 relations with 2 large ideals: 59922 Sun May 3 12:30:33 2026 relations with 3 large ideals: 418984 Sun May 3 12:30:33 2026 relations with 4 large ideals: 1531736 Sun May 3 12:30:33 2026 relations with 5 large ideals: 3239364 Sun May 3 12:30:33 2026 relations with 6 large ideals: 4178881 Sun May 3 12:30:33 2026 relations with 7+ large ideals: 5496711 Sun May 3 12:30:33 2026 commencing 2-way merge Sun May 3 12:30:42 2026 reduce to 9052165 relation sets and 8676271 unique ideals Sun May 3 12:30:42 2026 commencing full merge Sun May 3 12:33:31 2026 memory use: 1101.3 MB Sun May 3 12:33:32 2026 found 4364299 cycles, need 4316471 Sun May 3 12:33:34 2026 weight of 4316471 cycles is about 432152015 (100.12/cycle) Sun May 3 12:33:34 2026 distribution of cycle lengths: Sun May 3 12:33:34 2026 1 relations: 261443 Sun May 3 12:33:34 2026 2 relations: 328704 Sun May 3 12:33:34 2026 3 relations: 370573 Sun May 3 12:33:34 2026 4 relations: 373687 Sun May 3 12:33:34 2026 5 relations: 375582 Sun May 3 12:33:34 2026 6 relations: 367008 Sun May 3 12:33:34 2026 7 relations: 350246 Sun May 3 12:33:34 2026 8 relations: 324690 Sun May 3 12:33:34 2026 9 relations: 292038 Sun May 3 12:33:34 2026 10+ relations: 1272500 Sun May 3 12:33:34 2026 heaviest cycle: 24 relations Sun May 3 12:33:35 2026 commencing cycle optimization Sun May 3 12:33:44 2026 start with 31948337 relations Sun May 3 12:34:41 2026 pruned 1114282 relations Sun May 3 12:34:42 2026 memory use: 943.4 MB Sun May 3 12:34:42 2026 distribution of cycle lengths: Sun May 3 12:34:42 2026 1 relations: 261443 Sun May 3 12:34:42 2026 2 relations: 336640 Sun May 3 12:34:42 2026 3 relations: 384890 Sun May 3 12:34:42 2026 4 relations: 386652 Sun May 3 12:34:42 2026 5 relations: 390898 Sun May 3 12:34:42 2026 6 relations: 380617 Sun May 3 12:34:42 2026 7 relations: 364060 Sun May 3 12:34:42 2026 8 relations: 334651 Sun May 3 12:34:42 2026 9 relations: 299334 Sun May 3 12:34:42 2026 10+ relations: 1177286 Sun May 3 12:34:42 2026 heaviest cycle: 24 relations Sun May 3 12:34:52 2026 RelProcTime: 3156 Sun May 3 12:34:52 2026 elapsed time 00:52:37 Sun May 3 14:18:41 2026 Sun May 3 14:18:41 2026 Sun May 3 14:18:41 2026 Msieve v. 1.54 (SVN unknown) Sun May 3 14:18:41 2026 random seeds: 3ed7846f 65825a1f Sun May 3 14:18:41 2026 factoring 2421805590980848471956094722416083226385029718406717250047348821388208482539270242818742658554589320823238758110709777687487493273595034268041089882680527566313 (160 digits) Sun May 3 14:18:41 2026 no P-1/P+1/ECM available, skipping Sun May 3 14:18:41 2026 commencing number field sieve (160-digit input) Sun May 3 14:18:41 2026 R0: -10555312235851670694539017713378 Sun May 3 14:18:41 2026 R1: 409754174987080582363 Sun May 3 14:18:41 2026 A0: -82558700938353422671658594379033600 Sun May 3 14:18:41 2026 A1: 314313836640811397566854263968 Sun May 3 14:18:41 2026 A2: 3250072280162720931037047 Sun May 3 14:18:41 2026 A3: -894329228819005453 Sun May 3 14:18:41 2026 A4: 1077253502580 Sun May 3 14:18:41 2026 A5: 221760 Sun May 3 14:18:41 2026 skew 1.00, size 2.352e-15, alpha -6.549, combined = 2.720e-14 rroots = 3 Sun May 3 14:18:41 2026 Sun May 3 14:18:41 2026 commencing linear algebra Sun May 3 14:18:41 2026 using VBITS=512 Sun May 3 14:18:42 2026 read 4316471 cycles Sun May 3 14:18:52 2026 cycles contain 14668299 unique relations Sun May 3 14:20:40 2026 read 14668299 relations Sun May 3 14:21:06 2026 using 20 quadratic characters above 4294917295 Sun May 3 14:22:24 2026 building initial matrix Sun May 3 14:25:18 2026 memory use: 1975.0 MB Sun May 3 14:25:20 2026 read 4316471 cycles Sun May 3 14:25:20 2026 matrix is 4316293 x 4316471 (1737.5 MB) with weight 536754141 (124.35/col) Sun May 3 14:25:20 2026 sparse part has weight 407986497 (94.52/col) Sun May 3 14:25:58 2026 filtering completed in 2 passes Sun May 3 14:25:59 2026 matrix is 4315890 x 4316064 (1737.4 MB) with weight 536735908 (124.36/col) Sun May 3 14:25:59 2026 sparse part has weight 407980674 (94.53/col) Sun May 3 14:26:09 2026 matrix starts at (0, 0) Sun May 3 14:26:10 2026 matrix is 4315890 x 4316064 (1737.4 MB) with weight 536735908 (124.36/col) Sun May 3 14:26:10 2026 sparse part has weight 407980674 (94.53/col) Sun May 3 14:26:10 2026 saving the first 496 matrix rows for later Sun May 3 14:26:11 2026 matrix includes 512 packed rows Sun May 3 14:26:13 2026 matrix is 4315394 x 4316064 (1631.9 MB) with weight 345845480 (80.13/col) Sun May 3 14:26:13 2026 sparse part has weight 324207571 (75.12/col) Sun May 3 14:26:14 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Sun May 3 14:26:14 2026 selected card has CUDA arch 8.6 Sun May 3 14:26:38 2026 commencing Lanczos iteration Sun May 3 14:26:39 2026 memory use: 4712.7 MB Sun May 3 14:26:54 2026 linear algebra at 0.4%, ETA 1h 5m Sun May 3 14:26:55 2026 checkpointing every 3810000 dimensions Sun May 3 15:34:34 2026 lanczos halted after 8443 iterations (dim = 4315390) Sun May 3 15:36:17 2026 recovered 27 nontrivial dependencies Sun May 3 15:36:17 2026 BLanczosTime: 4656 Sun May 3 15:36:17 2026 Sun May 3 15:36:17 2026 commencing square root phase Sun May 3 15:36:17 2026 handling dependencies 1 to 64 Sun May 3 15:36:17 2026 reading relations for dependency 1 Sun May 3 15:36:18 2026 read 2158502 cycles Sun May 3 15:36:23 2026 cycles contain 7334892 unique relations Sun May 3 15:37:33 2026 read 7334892 relations Sun May 3 15:38:13 2026 multiplying 7334892 relations Sun May 3 15:45:32 2026 multiply complete, coefficients have about 390.60 million bits Sun May 3 15:45:34 2026 initial square root is modulo 10200461 Sun May 3 15:54:25 2026 sqrtTime: 1088 Sun May 3 15:54:25 2026 p58 factor: 4972433354880353224803341887666463009946195542571470792729 Sun May 3 15:54:25 2026 p102 factor: 487046365056635736228258709236434558585822999541935686766567774460622991641055838893658810324241020497 Sun May 3 15:54:25 2026 elapsed time 01:35:44