Sun Apr 26 16:37:27 2026 Sun Apr 26 16:37:27 2026 Sun Apr 26 16:37:27 2026 Msieve v. 1.54 (SVN unknown) Sun Apr 26 16:37:27 2026 random seeds: 1bb8abb6 e8b320ae Sun Apr 26 16:37:27 2026 factoring 76587429360713838358266779143196622568408408519548281038716371777483962743764455850136422198583499447284430988547148325140425900959696703603488833164007690231986532231305616322727661 (182 digits) Sun Apr 26 16:37:28 2026 no P-1/P+1/ECM available, skipping Sun Apr 26 16:37:28 2026 commencing number field sieve (182-digit input) Sun Apr 26 16:37:28 2026 R0: 23062756364850267321963255830354981138366945460295429 Sun Apr 26 16:37:28 2026 R1: -1 Sun Apr 26 16:37:28 2026 A0: 1 Sun Apr 26 16:37:28 2026 A1: 1 Sun Apr 26 16:37:28 2026 A2: 1 Sun Apr 26 16:37:28 2026 A3: 1 Sun Apr 26 16:37:28 2026 A4: 1 Sun Apr 26 16:37:28 2026 skew 1.93, size 2.322e-21, alpha 1.694, combined = 9.442e-13 rroots = 0 Sun Apr 26 16:37:28 2026 Sun Apr 26 16:37:28 2026 commencing relation filtering Sun Apr 26 16:37:28 2026 setting target matrix density to 100.0 Sun Apr 26 16:37:28 2026 estimated available RAM is 7902.4 MB Sun Apr 26 16:37:28 2026 commencing duplicate removal, pass 1 Sun Apr 26 16:53:25 2026 skipped 73 relations with b > 2^32 Sun Apr 26 16:53:25 2026 found 6645590 hash collisions in 124077349 relations Sun Apr 26 16:53:34 2026 added 3657740 free relations Sun Apr 26 16:53:34 2026 commencing duplicate removal, pass 2 Sun Apr 26 16:54:28 2026 found 0 duplicates and 127735089 unique relations Sun Apr 26 16:54:28 2026 memory use: 378.4 MB Sun Apr 26 16:54:28 2026 reading ideals above 104923136 Sun Apr 26 16:54:28 2026 commencing singleton removal, initial pass Sun Apr 26 17:06:38 2026 memory use: 3012.0 MB Sun Apr 26 17:06:38 2026 reading all ideals from disk Sun Apr 26 17:06:44 2026 memory use: 2055.3 MB Sun Apr 26 17:06:49 2026 commencing in-memory singleton removal Sun Apr 26 17:06:54 2026 begin with 127735089 relations and 108141992 unique ideals Sun Apr 26 17:07:52 2026 reduce to 72644401 relations and 46422986 ideals in 16 passes Sun Apr 26 17:07:52 2026 max relations containing the same ideal: 45 Sun Apr 26 17:07:57 2026 reading ideals above 720000 Sun Apr 26 17:07:57 2026 commencing singleton removal, initial pass Sun Apr 26 17:17:51 2026 memory use: 1506.0 MB Sun Apr 26 17:17:51 2026 reading all ideals from disk Sun Apr 26 17:18:00 2026 memory use: 2700.6 MB Sun Apr 26 17:18:08 2026 keeping 58108540 ideals with weight <= 200, target excess is 370495 Sun Apr 26 17:18:17 2026 commencing in-memory singleton removal Sun Apr 26 17:18:24 2026 begin with 72644401 relations and 58108540 unique ideals Sun Apr 26 17:19:20 2026 reduce to 72627666 relations and 58091670 ideals in 8 passes Sun Apr 26 17:19:20 2026 max relations containing the same ideal: 200 Sun Apr 26 17:20:00 2026 removing 9542017 relations and 7542017 ideals in 2000000 cliques Sun Apr 26 17:20:03 2026 commencing in-memory singleton removal Sun Apr 26 17:20:08 2026 begin with 63085649 relations and 58091670 unique ideals Sun Apr 26 17:20:56 2026 reduce to 62081858 relations and 49509919 ideals in 11 passes Sun Apr 26 17:20:56 2026 max relations containing the same ideal: 190 Sun Apr 26 17:21:23 2026 removing 7463265 relations and 5463265 ideals in 2000000 cliques Sun Apr 26 17:21:26 2026 commencing in-memory singleton removal Sun Apr 26 17:21:29 2026 begin with 54618593 relations and 49509919 unique ideals Sun Apr 26 17:21:59 2026 reduce to 53919549 relations and 43324485 ideals in 9 passes Sun Apr 26 17:21:59 2026 max relations containing the same ideal: 173 Sun Apr 26 17:22:20 2026 removing 6856597 relations and 4856597 ideals in 2000000 cliques Sun Apr 26 17:22:22 2026 commencing in-memory singleton removal Sun Apr 26 17:22:25 2026 begin with 47062952 relations and 43324485 unique ideals Sun Apr 26 17:22:51 2026 reduce to 46425466 relations and 37807325 ideals in 10 passes Sun Apr 26 17:22:51 2026 max relations containing the same ideal: 161 Sun Apr 26 17:23:13 2026 removing 6538495 relations and 4538495 ideals in 2000000 cliques Sun Apr 26 17:23:16 2026 commencing in-memory singleton removal Sun Apr 26 17:23:20 2026 begin with 39886971 relations and 37807325 unique ideals Sun Apr 26 17:23:44 2026 reduce to 39266086 relations and 32622836 ideals in 8 passes Sun Apr 26 17:23:44 2026 max relations containing the same ideal: 142 Sun Apr 26 17:24:06 2026 removing 6312471 relations and 4312471 ideals in 2000000 cliques Sun Apr 26 17:24:09 2026 commencing in-memory singleton removal Sun Apr 26 17:24:12 2026 begin with 32953615 relations and 32622836 unique ideals Sun Apr 26 17:24:28 2026 reduce to 32316544 relations and 27643653 ideals in 7 passes Sun Apr 26 17:24:28 2026 max relations containing the same ideal: 125 Sun Apr 26 17:24:45 2026 removing 6128289 relations and 4128289 ideals in 2000000 cliques Sun Apr 26 17:24:47 2026 commencing in-memory singleton removal Sun Apr 26 17:24:49 2026 begin with 26188255 relations and 27643653 unique ideals Sun Apr 26 17:25:04 2026 reduce to 25510605 relations and 22800177 ideals in 8 passes Sun Apr 26 17:25:04 2026 max relations containing the same ideal: 106 Sun Apr 26 17:25:18 2026 removing 5932442 relations and 3932442 ideals in 2000000 cliques Sun Apr 26 17:25:20 2026 commencing in-memory singleton removal Sun Apr 26 17:25:21 2026 begin with 19578163 relations and 22800177 unique ideals Sun Apr 26 17:25:32 2026 reduce to 18815985 relations and 18052053 ideals in 9 passes Sun Apr 26 17:25:32 2026 max relations containing the same ideal: 87 Sun Apr 26 17:25:43 2026 removing 1382682 relations and 1048525 ideals in 334157 cliques Sun Apr 26 17:25:44 2026 commencing in-memory singleton removal Sun Apr 26 17:25:45 2026 begin with 17433303 relations and 18052053 unique ideals Sun Apr 26 17:25:54 2026 reduce to 17368715 relations and 16937901 ideals in 7 passes Sun Apr 26 17:25:54 2026 max relations containing the same ideal: 82 Sun Apr 26 17:26:06 2026 relations with 0 large ideals: 30239 Sun Apr 26 17:26:06 2026 relations with 1 large ideals: 4160 Sun Apr 26 17:26:06 2026 relations with 2 large ideals: 48283 Sun Apr 26 17:26:06 2026 relations with 3 large ideals: 357083 Sun Apr 26 17:26:06 2026 relations with 4 large ideals: 1430987 Sun Apr 26 17:26:06 2026 relations with 5 large ideals: 3935233 Sun Apr 26 17:26:06 2026 relations with 6 large ideals: 4557640 Sun Apr 26 17:26:06 2026 relations with 7+ large ideals: 7005090 Sun Apr 26 17:26:06 2026 commencing 2-way merge Sun Apr 26 17:26:18 2026 reduce to 11649568 relation sets and 11218754 unique ideals Sun Apr 26 17:26:18 2026 commencing full merge Sun Apr 26 17:31:01 2026 memory use: 1488.3 MB Sun Apr 26 17:31:03 2026 found 5600763 cycles, need 5556954 Sun Apr 26 17:31:05 2026 weight of 5556954 cycles is about 555812701 (100.02/cycle) Sun Apr 26 17:31:05 2026 distribution of cycle lengths: Sun Apr 26 17:31:05 2026 1 relations: 190842 Sun Apr 26 17:31:05 2026 2 relations: 326260 Sun Apr 26 17:31:05 2026 3 relations: 420478 Sun Apr 26 17:31:05 2026 4 relations: 455508 Sun Apr 26 17:31:05 2026 5 relations: 468811 Sun Apr 26 17:31:05 2026 6 relations: 468512 Sun Apr 26 17:31:05 2026 7 relations: 451306 Sun Apr 26 17:31:06 2026 8 relations: 424537 Sun Apr 26 17:31:06 2026 9 relations: 389105 Sun Apr 26 17:31:06 2026 10+ relations: 1961595 Sun Apr 26 17:31:06 2026 heaviest cycle: 28 relations Sun Apr 26 17:31:07 2026 commencing cycle optimization Sun Apr 26 17:31:20 2026 start with 45866987 relations Sun Apr 26 17:33:10 2026 pruned 2045463 relations Sun Apr 26 17:33:10 2026 memory use: 1204.1 MB Sun Apr 26 17:33:10 2026 distribution of cycle lengths: Sun Apr 26 17:33:10 2026 1 relations: 190842 Sun Apr 26 17:33:10 2026 2 relations: 333787 Sun Apr 26 17:33:10 2026 3 relations: 438767 Sun Apr 26 17:33:10 2026 4 relations: 475315 Sun Apr 26 17:33:10 2026 5 relations: 493997 Sun Apr 26 17:33:10 2026 6 relations: 492015 Sun Apr 26 17:33:10 2026 7 relations: 475192 Sun Apr 26 17:33:10 2026 8 relations: 443682 Sun Apr 26 17:33:10 2026 9 relations: 405407 Sun Apr 26 17:33:10 2026 10+ relations: 1807950 Sun Apr 26 17:33:10 2026 heaviest cycle: 28 relations Sun Apr 26 17:33:24 2026 RelProcTime: 3356 Sun Apr 26 17:33:24 2026 elapsed time 00:55:57 Sun Apr 26 18:39:55 2026 Sun Apr 26 18:39:55 2026 Sun Apr 26 18:39:55 2026 Msieve v. 1.54 (SVN unknown) Sun Apr 26 18:39:55 2026 random seeds: fd48e6cc 70a3e759 Sun Apr 26 18:39:55 2026 factoring 76587429360713838358266779143196622568408408519548281038716371777483962743764455850136422198583499447284430988547148325140425900959696703603488833164007690231986532231305616322727661 (182 digits) Sun Apr 26 18:39:56 2026 no P-1/P+1/ECM available, skipping Sun Apr 26 18:39:56 2026 commencing number field sieve (182-digit input) Sun Apr 26 18:39:56 2026 R0: 23062756364850267321963255830354981138366945460295429 Sun Apr 26 18:39:56 2026 R1: -1 Sun Apr 26 18:39:56 2026 A0: 1 Sun Apr 26 18:39:56 2026 A1: 1 Sun Apr 26 18:39:56 2026 A2: 1 Sun Apr 26 18:39:56 2026 A3: 1 Sun Apr 26 18:39:56 2026 A4: 1 Sun Apr 26 18:39:56 2026 skew 1.93, size 2.322e-21, alpha 1.694, combined = 9.442e-13 rroots = 0 Sun Apr 26 18:39:56 2026 Sun Apr 26 18:39:56 2026 commencing linear algebra Sun Apr 26 18:39:56 2026 using VBITS=512 Sun Apr 26 18:39:57 2026 read 5556954 cycles Sun Apr 26 18:40:11 2026 cycles contain 17152123 unique relations Sun Apr 26 18:41:58 2026 read 17152123 relations Sun Apr 26 18:42:31 2026 using 20 quadratic characters above 4294917295 Sun Apr 26 18:43:57 2026 building initial matrix Sun Apr 26 18:47:55 2026 memory use: 2175.9 MB Sun Apr 26 18:47:57 2026 read 5556954 cycles Sun Apr 26 18:47:58 2026 matrix is 5556776 x 5556954 (2238.8 MB) with weight 646050294 (116.26/col) Sun Apr 26 18:47:58 2026 sparse part has weight 525758198 (94.61/col) Sun Apr 26 18:49:06 2026 filtering completed in 2 passes Sun Apr 26 18:49:07 2026 matrix is 5556644 x 5556777 (2238.8 MB) with weight 646044949 (116.26/col) Sun Apr 26 18:49:07 2026 sparse part has weight 525756174 (94.62/col) Sun Apr 26 18:49:26 2026 matrix starts at (0, 0) Sun Apr 26 18:49:26 2026 matrix is 5556644 x 5556777 (2238.8 MB) with weight 646044949 (116.26/col) Sun Apr 26 18:49:26 2026 sparse part has weight 525756174 (94.62/col) Sun Apr 26 18:49:26 2026 saving the first 496 matrix rows for later Sun Apr 26 18:49:28 2026 matrix includes 512 packed rows Sun Apr 26 18:49:33 2026 matrix is 5556148 x 5556777 (2132.6 MB) with weight 450731339 (81.11/col) Sun Apr 26 18:49:33 2026 sparse part has weight 425694789 (76.61/col) Sun Apr 26 18:49:33 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Sun Apr 26 18:49:33 2026 selected card has CUDA arch 8.6 Sun Apr 26 18:50:17 2026 commencing Lanczos iteration Sun Apr 26 18:50:17 2026 memory use: 6173.1 MB Sun Apr 26 18:50:37 2026 linear algebra at 0.3%, ETA 1h48m Sun Apr 26 18:50:38 2026 checkpointing every 3010000 dimensions Sun Apr 26 20:44:29 2026 lanczos halted after 10870 iterations (dim = 5556148) Sun Apr 26 20:45:47 2026 recovered 39 nontrivial dependencies Sun Apr 26 20:45:48 2026 BLanczosTime: 7552 Sun Apr 26 20:45:48 2026 Sun Apr 26 20:45:48 2026 commencing square root phase Sun Apr 26 20:45:48 2026 handling dependencies 1 to 64 Sun Apr 26 20:45:48 2026 reading relations for dependency 1 Sun Apr 26 20:45:52 2026 read 2777586 cycles Sun Apr 26 20:45:58 2026 cycles contain 8573820 unique relations Sun Apr 26 20:47:09 2026 read 8573820 relations Sun Apr 26 20:47:51 2026 multiplying 8573820 relations Sun Apr 26 20:50:27 2026 multiply complete, coefficients have about 217.19 million bits Sun Apr 26 20:50:28 2026 initial square root is modulo 62256827 Sun Apr 26 20:53:57 2026 sqrtTime: 489 Sun Apr 26 20:53:57 2026 p68 factor: 70313511937285684554959462773193445910589529221925640922130749591111 Sun Apr 26 20:53:57 2026 p115 factor: 1089227763634164823374429735899434979160457114512231792570829529082827992894054682417104032647455033381519877771051 Sun Apr 26 20:53:57 2026 elapsed time 02:14:02