Tue Aug 19 16:35:24 2025 Tue Aug 19 16:35:24 2025 Tue Aug 19 16:35:24 2025 Msieve v. 1.54 (SVN Unversioned directory) Tue Aug 19 16:35:24 2025 random seeds: eacd8b68 66d545ec Tue Aug 19 16:35:24 2025 factoring 165962521700857679936052339599399070869717652950025672714320900470115119709026232851173455519507976056552692877235630989108923096927099787955104690578459472337040176832942859294021693 (183 digits) Tue Aug 19 16:35:26 2025 searching for 15-digit factors Tue Aug 19 16:35:27 2025 commencing number field sieve (183-digit input) Tue Aug 19 16:35:27 2025 R0: 1685676153118868380679051120501448289 Tue Aug 19 16:35:27 2025 R1: -1 Tue Aug 19 16:35:27 2025 A0: -1 Tue Aug 19 16:35:27 2025 A1: 0 Tue Aug 19 16:35:27 2025 A2: 0 Tue Aug 19 16:35:27 2025 A3: 0 Tue Aug 19 16:35:27 2025 A4: 0 Tue Aug 19 16:35:27 2025 A5: 0 Tue Aug 19 16:35:27 2025 A6: 1090927 Tue Aug 19 16:35:27 2025 skew 0.10, size 1.238e-11, alpha 1.558, combined = 7.650e-13 rroots = 2 Tue Aug 19 16:35:27 2025 Tue Aug 19 16:35:27 2025 commencing relation filtering Tue Aug 19 16:35:27 2025 setting target matrix density to 120.0 Tue Aug 19 16:35:27 2025 estimated available RAM is 15938.6 MB Tue Aug 19 16:35:27 2025 commencing duplicate removal, pass 1 Tue Aug 19 16:41:49 2025 error -15 reading relation 36879954 Tue Aug 19 16:48:06 2025 error -11 reading relation 73457488 Tue Aug 19 16:52:28 2025 skipped 554 relations with b > 2^32 Tue Aug 19 16:52:28 2025 found 4432421 hash collisions in 100593097 relations Tue Aug 19 16:53:01 2025 added 1218437 free relations Tue Aug 19 16:53:01 2025 commencing duplicate removal, pass 2 Tue Aug 19 16:53:59 2025 found 0 duplicates and 101811534 unique relations Tue Aug 19 16:53:59 2025 memory use: 261.2 MB Tue Aug 19 16:54:00 2025 reading ideals above 67043328 Tue Aug 19 16:54:00 2025 commencing singleton removal, initial pass Tue Aug 19 17:07:52 2025 memory use: 2756.0 MB Tue Aug 19 17:07:52 2025 reading all ideals from disk Tue Aug 19 17:07:56 2025 memory use: 1958.3 MB Tue Aug 19 17:08:04 2025 commencing in-memory singleton removal Tue Aug 19 17:08:12 2025 begin with 101811534 relations and 84908560 unique ideals Tue Aug 19 17:09:26 2025 reduce to 68585584 relations and 48475627 ideals in 14 passes Tue Aug 19 17:09:26 2025 max relations containing the same ideal: 41 Tue Aug 19 17:09:33 2025 reading ideals above 720000 Tue Aug 19 17:09:34 2025 commencing singleton removal, initial pass Tue Aug 19 17:23:26 2025 memory use: 1506.0 MB Tue Aug 19 17:23:26 2025 reading all ideals from disk Tue Aug 19 17:23:34 2025 memory use: 2608.3 MB Tue Aug 19 17:23:49 2025 keeping 56026459 ideals with weight <= 200, target excess is 357398 Tue Aug 19 17:24:06 2025 commencing in-memory singleton removal Tue Aug 19 17:24:19 2025 begin with 68585584 relations and 56026459 unique ideals Tue Aug 19 17:25:26 2025 reduce to 68585560 relations and 56026435 ideals in 5 passes Tue Aug 19 17:25:26 2025 max relations containing the same ideal: 200 Tue Aug 19 17:26:34 2025 removing 8843240 relations and 6843240 ideals in 2000000 cliques Tue Aug 19 17:26:39 2025 commencing in-memory singleton removal Tue Aug 19 17:26:51 2025 begin with 59742320 relations and 56026435 unique ideals Tue Aug 19 17:28:29 2025 reduce to 58769383 relations and 48173635 ideals in 8 passes Tue Aug 19 17:28:29 2025 max relations containing the same ideal: 193 Tue Aug 19 17:29:30 2025 removing 7083114 relations and 5083114 ideals in 2000000 cliques Tue Aug 19 17:29:34 2025 commencing in-memory singleton removal Tue Aug 19 17:29:44 2025 begin with 51686269 relations and 48173635 unique ideals Tue Aug 19 17:31:02 2025 reduce to 51000235 relations and 42380901 ideals in 8 passes Tue Aug 19 17:31:02 2025 max relations containing the same ideal: 175 Tue Aug 19 17:31:51 2025 removing 6569291 relations and 4569291 ideals in 2000000 cliques Tue Aug 19 17:31:55 2025 commencing in-memory singleton removal Tue Aug 19 17:32:04 2025 begin with 44430944 relations and 42380901 unique ideals Tue Aug 19 17:33:11 2025 reduce to 43799283 relations and 37156537 ideals in 8 passes Tue Aug 19 17:33:11 2025 max relations containing the same ideal: 162 Tue Aug 19 17:33:55 2025 removing 6301630 relations and 4301630 ideals in 2000000 cliques Tue Aug 19 17:33:58 2025 commencing in-memory singleton removal Tue Aug 19 17:34:05 2025 begin with 37497653 relations and 37156537 unique ideals Tue Aug 19 17:34:59 2025 reduce to 36864449 relations and 32195467 ideals in 8 passes Tue Aug 19 17:34:59 2025 max relations containing the same ideal: 144 Tue Aug 19 17:35:35 2025 removing 6127171 relations and 4127171 ideals in 2000000 cliques Tue Aug 19 17:35:39 2025 commencing in-memory singleton removal Tue Aug 19 17:35:44 2025 begin with 30737278 relations and 32195467 unique ideals Tue Aug 19 17:36:26 2025 reduce to 30065991 relations and 27364765 ideals in 8 passes Tue Aug 19 17:36:26 2025 max relations containing the same ideal: 128 Tue Aug 19 17:36:56 2025 removing 5995512 relations and 3995512 ideals in 2000000 cliques Tue Aug 19 17:37:00 2025 commencing in-memory singleton removal Tue Aug 19 17:37:04 2025 begin with 24070479 relations and 27364765 unique ideals Tue Aug 19 17:37:37 2025 reduce to 23298885 relations and 22552551 ideals in 8 passes Tue Aug 19 17:37:37 2025 max relations containing the same ideal: 109 Tue Aug 19 17:38:00 2025 removing 1412817 relations and 1081065 ideals in 331752 cliques Tue Aug 19 17:38:02 2025 commencing in-memory singleton removal Tue Aug 19 17:38:06 2025 begin with 21886068 relations and 22552551 unique ideals Tue Aug 19 17:38:29 2025 reduce to 21824440 relations and 21409057 ideals in 6 passes Tue Aug 19 17:38:29 2025 max relations containing the same ideal: 106 Tue Aug 19 17:38:57 2025 relations with 0 large ideals: 12460 Tue Aug 19 17:38:57 2025 relations with 1 large ideals: 5925 Tue Aug 19 17:38:57 2025 relations with 2 large ideals: 46614 Tue Aug 19 17:38:57 2025 relations with 3 large ideals: 351915 Tue Aug 19 17:38:57 2025 relations with 4 large ideals: 1453179 Tue Aug 19 17:38:57 2025 relations with 5 large ideals: 3593486 Tue Aug 19 17:38:57 2025 relations with 6 large ideals: 5553078 Tue Aug 19 17:38:57 2025 relations with 7+ large ideals: 10807783 Tue Aug 19 17:38:57 2025 commencing 2-way merge Tue Aug 19 17:39:24 2025 reduce to 14868512 relation sets and 14453129 unique ideals Tue Aug 19 17:39:24 2025 commencing full merge Tue Aug 19 17:50:35 2025 memory use: 1934.3 MB Tue Aug 19 17:50:38 2025 found 6656569 cycles, need 6647329 Tue Aug 19 17:50:42 2025 weight of 6647329 cycles is about 797972244 (120.04/cycle) Tue Aug 19 17:50:42 2025 distribution of cycle lengths: Tue Aug 19 17:50:42 2025 1 relations: 203433 Tue Aug 19 17:50:42 2025 2 relations: 358987 Tue Aug 19 17:50:42 2025 3 relations: 450805 Tue Aug 19 17:50:42 2025 4 relations: 486040 Tue Aug 19 17:50:42 2025 5 relations: 505654 Tue Aug 19 17:50:42 2025 6 relations: 505824 Tue Aug 19 17:50:42 2025 7 relations: 495137 Tue Aug 19 17:50:42 2025 8 relations: 473439 Tue Aug 19 17:50:42 2025 9 relations: 442745 Tue Aug 19 17:50:42 2025 10+ relations: 2725265 Tue Aug 19 17:50:42 2025 heaviest cycle: 28 relations Tue Aug 19 17:50:45 2025 commencing cycle optimization Tue Aug 19 17:51:16 2025 start with 60394577 relations Tue Aug 19 17:55:48 2025 pruned 3043818 relations Tue Aug 19 17:55:48 2025 memory use: 1534.9 MB Tue Aug 19 17:55:48 2025 distribution of cycle lengths: Tue Aug 19 17:55:48 2025 1 relations: 203433 Tue Aug 19 17:55:48 2025 2 relations: 369150 Tue Aug 19 17:55:48 2025 3 relations: 472092 Tue Aug 19 17:55:48 2025 4 relations: 508817 Tue Aug 19 17:55:48 2025 5 relations: 534718 Tue Aug 19 17:55:48 2025 6 relations: 533253 Tue Aug 19 17:55:48 2025 7 relations: 524598 Tue Aug 19 17:55:48 2025 8 relations: 498409 Tue Aug 19 17:55:48 2025 9 relations: 464811 Tue Aug 19 17:55:48 2025 10+ relations: 2538048 Tue Aug 19 17:55:48 2025 heaviest cycle: 28 relations Tue Aug 19 17:56:12 2025 RelProcTime: 4845 Tue Aug 19 17:56:12 2025 Tue Aug 19 17:56:12 2025 commencing linear algebra Tue Aug 19 17:56:12 2025 using VBITS=512 Tue Aug 19 17:56:13 2025 read 6647329 cycles Tue Aug 19 17:56:39 2025 cycles contain 21613553 unique relations Tue Aug 19 17:59:10 2025 read 21613553 relations Tue Aug 19 18:00:16 2025 using 20 quadratic characters above 4294917295 Tue Aug 19 18:02:35 2025 building initial matrix Tue Aug 19 18:13:40 2025 memory use: 2724.0 MB Tue Aug 19 18:13:45 2025 read 6647329 cycles Tue Aug 19 18:13:46 2025 matrix is 6647152 x 6647329 (3100.8 MB) with weight 883099620 (132.85/col) Tue Aug 19 18:13:46 2025 sparse part has weight 739744141 (111.28/col) Tue Aug 19 18:15:43 2025 filtering completed in 2 passes Tue Aug 19 18:15:44 2025 matrix is 6647115 x 6647278 (3100.8 MB) with weight 883098312 (132.85/col) Tue Aug 19 18:15:44 2025 sparse part has weight 739743755 (111.29/col) Tue Aug 19 18:16:18 2025 matrix starts at (0, 0) Tue Aug 19 18:16:19 2025 matrix is 6647115 x 6647278 (3100.8 MB) with weight 883098312 (132.85/col) Tue Aug 19 18:16:19 2025 sparse part has weight 739743755 (111.29/col) Tue Aug 19 18:16:19 2025 saving the first 496 matrix rows for later Tue Aug 19 18:16:23 2025 matrix includes 512 packed rows Tue Aug 19 18:16:34 2025 matrix is 6646619 x 6647278 (2910.4 MB) with weight 638729851 (96.09/col) Tue Aug 19 18:16:34 2025 sparse part has weight 603418355 (90.78/col) Tue Aug 19 18:32:51 2025 Tue Aug 19 18:32:51 2025 Tue Aug 19 18:32:51 2025 Msieve v. 1.54 (SVN unknown) Tue Aug 19 18:32:51 2025 random seeds: 0f50a3cb 35a01e3e Tue Aug 19 18:32:51 2025 factoring 37167350338372935011073756876251480619415640396386443866407133135877696179201748428884509024714804127117386635259318723757339255643661678933944731262541999459508964509815979261531303105256758234918924621 (203 digits) Tue Aug 19 18:32:52 2025 no P-1/P+1/ECM available, skipping Tue Aug 19 18:32:52 2025 commencing number field sieve (203-digit input) Tue Aug 19 18:32:52 2025 warning: NFS input not found in factor base file Tue Aug 19 18:32:52 2025 R0: 0 Tue Aug 19 18:32:52 2025 A0: 0 Tue Aug 19 18:32:52 2025 skew 1.00, size 0.000e+00, alpha 0.000, combined = 0.000e+00 rroots = 0 Tue Aug 19 18:32:52 2025 Tue Aug 19 18:32:52 2025 commencing linear algebra Tue Aug 19 18:32:52 2025 using VBITS=512 Tue Aug 19 18:32:52 2025 skipping matrix build Tue Aug 19 18:33:00 2025 matrix starts at (0, 0) Tue Aug 19 18:33:01 2025 matrix is 6647115 x 6647278 (3100.8 MB) with weight 883098312 (132.85/col) Tue Aug 19 18:33:01 2025 sparse part has weight 739743755 (111.29/col) Tue Aug 19 18:33:01 2025 saving the first 496 matrix rows for later Tue Aug 19 18:33:04 2025 matrix includes 512 packed rows Tue Aug 19 18:33:09 2025 matrix is 6646619 x 6647278 (2910.4 MB) with weight 638729851 (96.09/col) Tue Aug 19 18:33:09 2025 sparse part has weight 603418355 (90.78/col) Tue Aug 19 18:33:10 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Tue Aug 19 18:33:10 2025 selected card has CUDA arch 8.6 Tue Aug 19 18:34:13 2025 commencing Lanczos iteration Tue Aug 19 18:34:14 2025 memory use: 7950.9 MB Tue Aug 19 18:34:38 2025 linear algebra at 0.2%, ETA 2h52m Tue Aug 19 18:34:39 2025 checkpointing every 2290000 dimensions Tue Aug 19 21:49:13 2025 lanczos halted after 13003 iterations (dim = 6646616) Tue Aug 19 21:50:59 2025 recovered 32 nontrivial dependencies Tue Aug 19 21:51:00 2025 BLanczosTime: 11888 Tue Aug 19 21:51:00 2025 elapsed time 03:18:09 Tue Aug 19 22:36:56 2025 Tue Aug 19 22:36:56 2025 Tue Aug 19 22:36:56 2025 Msieve v. 1.54 (SVN Unversioned directory) Tue Aug 19 22:36:56 2025 random seeds: 858ffa70 93d21b5e Tue Aug 19 22:36:56 2025 factoring 165962521700857679936052339599399070869717652950025672714320900470115119709026232851173455519507976056552692877235630989108923096927099787955104690578459472337040176832942859294021693 (183 digits) Tue Aug 19 22:36:58 2025 searching for 15-digit factors Tue Aug 19 22:36:58 2025 commencing number field sieve (183-digit input) Tue Aug 19 22:36:58 2025 R0: 1685676153118868380679051120501448289 Tue Aug 19 22:36:58 2025 R1: -1 Tue Aug 19 22:36:58 2025 A0: -1 Tue Aug 19 22:36:58 2025 A1: 0 Tue Aug 19 22:36:58 2025 A2: 0 Tue Aug 19 22:36:58 2025 A3: 0 Tue Aug 19 22:36:58 2025 A4: 0 Tue Aug 19 22:36:58 2025 A5: 0 Tue Aug 19 22:36:58 2025 A6: 1090927 Tue Aug 19 22:36:58 2025 skew 0.10, size 1.238e-11, alpha 1.558, combined = 7.650e-13 rroots = 2 Tue Aug 19 22:36:58 2025 Tue Aug 19 22:36:58 2025 commencing square root phase Tue Aug 19 22:36:58 2025 reading relations for dependency 1 Tue Aug 19 22:37:00 2025 read 3323719 cycles Tue Aug 19 22:37:11 2025 cycles contain 10807246 unique relations Tue Aug 19 22:38:36 2025 read 10807246 relations Tue Aug 19 22:40:03 2025 multiplying 10807246 relations Tue Aug 19 23:02:38 2025 multiply complete, coefficients have about 464.73 million bits Tue Aug 19 23:02:39 2025 initial square root is modulo 218177923 Tue Aug 19 23:28:55 2025 sqrtTime: 3117 Tue Aug 19 23:28:55 2025 p78 factor: 116624665585561174804448188977916596214062988439339025484810836037596964649039 Tue Aug 19 23:28:55 2025 p106 factor: 1423048210835811599507414851857335145947983535420801138968159036196307309129328067369918623610471106852787 Tue Aug 19 23:28:55 2025 elapsed time 00:51:59