Tue Feb 3 16:15:55 2026 Tue Feb 3 16:15:55 2026 Tue Feb 3 16:15:55 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Feb 3 16:15:55 2026 random seeds: a015e0da bd0afdea Tue Feb 3 16:15:55 2026 Using 8 OpenMP threads Tue Feb 3 16:15:55 2026 factoring 2484248495945412182465990822601945259275614176720173319975236948952888129962909163553106178238818947257452363098394138518603698633366027893460507517579402186485707 (163 digits) Tue Feb 3 16:15:56 2026 searching for 15-digit factors Tue Feb 3 16:15:56 2026 commencing number field sieve (163-digit input) Tue Feb 3 16:15:56 2026 R0: -35165070845437879535993727927046 Tue Feb 3 16:15:56 2026 R1: 360713021163619603013 Tue Feb 3 16:15:56 2026 A0: -769903459565882621095217821783700681616 Tue Feb 3 16:15:56 2026 A1: 1272827258393011516927548557577307 Tue Feb 3 16:15:56 2026 A2: 124571738524829876116014558 Tue Feb 3 16:15:56 2026 A3: -46369394167762397719 Tue Feb 3 16:15:56 2026 A4: -274772369394 Tue Feb 3 16:15:56 2026 A5: 277200 Tue Feb 3 16:15:56 2026 skew 1.00, size 1.080e-15, alpha -8.128, combined = 7.174e-15 rroots = 3 Tue Feb 3 16:15:56 2026 Tue Feb 3 16:15:56 2026 commencing relation filtering Tue Feb 3 16:15:56 2026 estimated available RAM is 78540.1 MB Tue Feb 3 16:15:56 2026 commencing duplicate removal, pass 1 Tue Feb 3 16:17:37 2026 error -1 reading relation 34675321 Tue Feb 3 16:20:41 2026 error -1 reading relation 99832040 Tue Feb 3 16:21:50 2026 error -1 reading relation 123752595 Tue Feb 3 16:22:03 2026 error -1 reading relation 128551394 Tue Feb 3 16:22:12 2026 skipped 60 malformed relations Tue Feb 3 16:22:12 2026 found 17406234 hash collisions in 131489081 relations Tue Feb 3 16:22:30 2026 commencing duplicate removal, pass 2 Tue Feb 3 16:23:25 2026 found 15957815 duplicates and 115531266 unique relations Tue Feb 3 16:23:25 2026 memory use: 554.4 MB Tue Feb 3 16:23:25 2026 reading ideals above 720000 Tue Feb 3 16:23:25 2026 commencing singleton removal, initial pass Tue Feb 3 16:33:02 2026 memory use: 3012.0 MB Tue Feb 3 16:33:02 2026 reading all ideals from disk Tue Feb 3 16:33:05 2026 memory use: 5210.5 MB Tue Feb 3 16:33:16 2026 keeping 115814834 ideals with weight <= 200, target excess is 606065 Tue Feb 3 16:33:28 2026 commencing in-memory singleton removal Tue Feb 3 16:33:31 2026 begin with 115531266 relations and 115814834 unique ideals Tue Feb 3 16:33:50 2026 reduce to 56802660 relations and 49183709 ideals in 16 passes Tue Feb 3 16:33:50 2026 max relations containing the same ideal: 130 Tue Feb 3 16:34:18 2026 removing 6735366 relations and 5735366 ideals in 1000000 cliques Tue Feb 3 16:34:20 2026 commencing in-memory singleton removal Tue Feb 3 16:34:21 2026 begin with 50067294 relations and 49183709 unique ideals Tue Feb 3 16:34:30 2026 reduce to 49482658 relations and 42850447 ideals in 10 passes Tue Feb 3 16:34:30 2026 max relations containing the same ideal: 118 Tue Feb 3 16:34:53 2026 removing 5067599 relations and 4067599 ideals in 1000000 cliques Tue Feb 3 16:34:55 2026 commencing in-memory singleton removal Tue Feb 3 16:34:55 2026 begin with 44415059 relations and 42850447 unique ideals Tue Feb 3 16:35:02 2026 reduce to 44025208 relations and 38385178 ideals in 9 passes Tue Feb 3 16:35:02 2026 max relations containing the same ideal: 110 Tue Feb 3 16:35:23 2026 removing 4550097 relations and 3550097 ideals in 1000000 cliques Tue Feb 3 16:35:24 2026 commencing in-memory singleton removal Tue Feb 3 16:35:25 2026 begin with 39475111 relations and 38385178 unique ideals Tue Feb 3 16:35:30 2026 reduce to 39123892 relations and 34476508 ideals in 8 passes Tue Feb 3 16:35:30 2026 max relations containing the same ideal: 100 Tue Feb 3 16:35:49 2026 removing 4285200 relations and 3285200 ideals in 1000000 cliques Tue Feb 3 16:35:50 2026 commencing in-memory singleton removal Tue Feb 3 16:35:51 2026 begin with 34838692 relations and 34476508 unique ideals Tue Feb 3 16:35:56 2026 reduce to 34495145 relations and 30840056 ideals in 9 passes Tue Feb 3 16:35:56 2026 max relations containing the same ideal: 97 Tue Feb 3 16:36:13 2026 removing 4114378 relations and 3114378 ideals in 1000000 cliques Tue Feb 3 16:36:14 2026 commencing in-memory singleton removal Tue Feb 3 16:36:15 2026 begin with 30380767 relations and 30840056 unique ideals Tue Feb 3 16:36:18 2026 reduce to 30030986 relations and 27367173 ideals in 8 passes Tue Feb 3 16:36:18 2026 max relations containing the same ideal: 86 Tue Feb 3 16:36:33 2026 removing 4004339 relations and 3004339 ideals in 1000000 cliques Tue Feb 3 16:36:34 2026 commencing in-memory singleton removal Tue Feb 3 16:36:34 2026 begin with 26026647 relations and 27367173 unique ideals Tue Feb 3 16:36:38 2026 reduce to 25658666 relations and 23984459 ideals in 8 passes Tue Feb 3 16:36:38 2026 max relations containing the same ideal: 79 Tue Feb 3 16:36:51 2026 removing 3823477 relations and 2852306 ideals in 971171 cliques Tue Feb 3 16:36:52 2026 commencing in-memory singleton removal Tue Feb 3 16:36:52 2026 begin with 21835189 relations and 23984459 unique ideals Tue Feb 3 16:36:55 2026 reduce to 21453161 relations and 20737718 ideals in 10 passes Tue Feb 3 16:36:55 2026 max relations containing the same ideal: 69 Tue Feb 3 16:37:07 2026 removing 102181 relations and 89774 ideals in 12407 cliques Tue Feb 3 16:37:08 2026 commencing in-memory singleton removal Tue Feb 3 16:37:08 2026 begin with 21350980 relations and 20737718 unique ideals Tue Feb 3 16:37:10 2026 reduce to 21350719 relations and 20647683 ideals in 6 passes Tue Feb 3 16:37:10 2026 max relations containing the same ideal: 69 Tue Feb 3 16:37:13 2026 relations with 0 large ideals: 2164 Tue Feb 3 16:37:13 2026 relations with 1 large ideals: 11559 Tue Feb 3 16:37:13 2026 relations with 2 large ideals: 160906 Tue Feb 3 16:37:13 2026 relations with 3 large ideals: 952485 Tue Feb 3 16:37:13 2026 relations with 4 large ideals: 2968149 Tue Feb 3 16:37:13 2026 relations with 5 large ideals: 5360830 Tue Feb 3 16:37:13 2026 relations with 6 large ideals: 5893676 Tue Feb 3 16:37:13 2026 relations with 7+ large ideals: 6000950 Tue Feb 3 16:37:13 2026 commencing 2-way merge Tue Feb 3 16:37:26 2026 reduce to 13171773 relation sets and 12468737 unique ideals Tue Feb 3 16:37:26 2026 commencing full merge Tue Feb 3 16:41:55 2026 memory use: 1578.1 MB Tue Feb 3 16:41:56 2026 found 6624021 cycles, need 6530937 Tue Feb 3 16:41:58 2026 weight of 6530937 cycles is about 588018539 (90.04/cycle) Tue Feb 3 16:41:58 2026 distribution of cycle lengths: Tue Feb 3 16:41:58 2026 1 relations: 469740 Tue Feb 3 16:41:58 2026 2 relations: 611064 Tue Feb 3 16:41:58 2026 3 relations: 657172 Tue Feb 3 16:41:58 2026 4 relations: 636002 Tue Feb 3 16:41:58 2026 5 relations: 618936 Tue Feb 3 16:41:58 2026 6 relations: 574489 Tue Feb 3 16:41:58 2026 7 relations: 531406 Tue Feb 3 16:41:58 2026 8 relations: 474227 Tue Feb 3 16:41:58 2026 9 relations: 414661 Tue Feb 3 16:41:58 2026 10+ relations: 1543240 Tue Feb 3 16:41:58 2026 heaviest cycle: 22 relations Tue Feb 3 16:42:00 2026 commencing cycle optimization Tue Feb 3 16:42:09 2026 start with 43498955 relations Tue Feb 3 16:43:02 2026 pruned 1394260 relations Tue Feb 3 16:43:03 2026 memory use: 1326.3 MB Tue Feb 3 16:43:03 2026 distribution of cycle lengths: Tue Feb 3 16:43:03 2026 1 relations: 469740 Tue Feb 3 16:43:03 2026 2 relations: 626011 Tue Feb 3 16:43:03 2026 3 relations: 683866 Tue Feb 3 16:43:03 2026 4 relations: 657698 Tue Feb 3 16:43:03 2026 5 relations: 641601 Tue Feb 3 16:43:03 2026 6 relations: 592308 Tue Feb 3 16:43:03 2026 7 relations: 547078 Tue Feb 3 16:43:03 2026 8 relations: 482802 Tue Feb 3 16:43:03 2026 9 relations: 418537 Tue Feb 3 16:43:03 2026 10+ relations: 1411296 Tue Feb 3 16:43:03 2026 heaviest cycle: 21 relations Tue Feb 3 16:43:12 2026 RelProcTime: 1636 Tue Feb 3 16:43:12 2026 Tue Feb 3 16:43:12 2026 commencing linear algebra Tue Feb 3 16:43:12 2026 using VBITS=256 Tue Feb 3 16:43:12 2026 read 6530937 cycles Tue Feb 3 16:43:19 2026 cycles contain 20900666 unique relations Tue Feb 3 16:43:42 2026 read 20900666 relations Tue Feb 3 16:43:46 2026 using 20 quadratic characters above 4294917295 Tue Feb 3 16:43:54 2026 building initial matrix Tue Feb 3 16:47:00 2026 memory use: 2923.0 MB Tue Feb 3 16:47:02 2026 read 6530937 cycles Tue Feb 3 16:47:03 2026 matrix is 6530758 x 6530937 (2436.7 MB) with weight 766157729 (117.31/col) Tue Feb 3 16:47:03 2026 sparse part has weight 560393384 (85.81/col) Tue Feb 3 16:47:44 2026 filtering completed in 2 passes Tue Feb 3 16:47:45 2026 matrix is 6529580 x 6529758 (2436.6 MB) with weight 766102954 (117.32/col) Tue Feb 3 16:47:45 2026 sparse part has weight 560376719 (85.82/col) Tue Feb 3 16:47:55 2026 matrix starts at (0, 0) Tue Feb 3 16:47:55 2026 matrix is 6529580 x 6529758 (2436.6 MB) with weight 766102954 (117.32/col) Tue Feb 3 16:47:55 2026 sparse part has weight 560376719 (85.82/col) Tue Feb 3 16:47:55 2026 saving the first 240 matrix rows for later Tue Feb 3 16:47:56 2026 matrix includes 256 packed rows Tue Feb 3 16:47:57 2026 matrix is 6529340 x 6529758 (2225.7 MB) with weight 512615513 (78.50/col) Tue Feb 3 16:47:57 2026 sparse part has weight 478978869 (73.35/col) Tue Feb 3 16:47:58 2026 using GPU 0 (NVIDIA GeForce RTX 5070) Tue Feb 3 16:47:58 2026 selected card has CUDA arch 12.0 Tue Feb 3 16:48:22 2026 commencing Lanczos iteration Tue Feb 3 16:48:22 2026 memory use: 5298.3 MB Tue Feb 3 16:48:56 2026 linear algebra at 0.5%, ETA 2h 0m Tue Feb 3 16:49:47 2026 checking every 50000 dimensions, checkpointing every 3300000 dimensions Tue Feb 3 17:47:26 2026 lanczos halted after 25584 iterations (dim = 6529340) Tue Feb 3 17:47:45 2026 recovered 32 nontrivial dependencies Tue Feb 3 17:47:45 2026 BLanczosTime: 3873 Tue Feb 3 17:47:45 2026 Tue Feb 3 17:47:45 2026 commencing square root phase Tue Feb 3 17:47:45 2026 reading relations for dependency 1 Tue Feb 3 17:47:46 2026 read 3264056 cycles Tue Feb 3 17:47:52 2026 cycles contain 10447836 unique relations Tue Feb 3 17:48:11 2026 read 10447836 relations Tue Feb 3 17:48:55 2026 multiplying 10447836 relations Tue Feb 3 17:50:14 2026 multiply complete, coefficients have about 566.21 million bits Tue Feb 3 17:50:16 2026 initial square root is modulo 120157 Tue Feb 3 17:53:40 2026 GCD is 1, no factor found Tue Feb 3 17:53:40 2026 reading relations for dependency 2 Tue Feb 3 17:53:40 2026 read 3263920 cycles Tue Feb 3 17:53:46 2026 cycles contain 10449762 unique relations Tue Feb 3 17:54:03 2026 read 10449762 relations Tue Feb 3 17:54:49 2026 multiplying 10449762 relations Tue Feb 3 17:56:10 2026 multiply complete, coefficients have about 566.30 million bits Tue Feb 3 17:56:12 2026 initial square root is modulo 120427 Tue Feb 3 17:59:44 2026 sqrtTime: 719 Tue Feb 3 17:59:44 2026 p65 factor: 67681512622104719190086219500072087725660379884622234465660020637 Tue Feb 3 17:59:44 2026 p98 factor: 36704978947737922304476062779548956818261007467828539837492170252859291069262254392893987188735111 Tue Feb 3 17:59:44 2026 elapsed time 01:43:49