Sat Feb 21 14:41:43 2026 Msieve v. 1.54 (SVN 573b9ef) Sat Feb 21 14:41:43 2026 random seeds: b277f8f1 67e297e7 Sat Feb 21 14:41:43 2026 Using 32 OpenMP threads Sat Feb 21 14:41:43 2026 factoring 16168426630431668982436123736892889970158409529323871628209350601763376552291970177564767899772774449697024708537109688282923390846482128149396144972423180655551216084906767276157118606902577696344833001735949 (209 digits) Sat Feb 21 14:41:44 2026 no P-1/P+1/ECM available, skipping Sat Feb 21 14:41:44 2026 commencing number field sieve (209-digit input) Sat Feb 21 14:41:44 2026 R0: 875752927125977484012315185255495099527 Sat Feb 21 14:41:44 2026 R1: -1 Sat Feb 21 14:41:44 2026 A0: 1 Sat Feb 21 14:41:44 2026 A1: 1 Sat Feb 21 14:41:44 2026 A2: 1 Sat Feb 21 14:41:44 2026 A3: 1 Sat Feb 21 14:41:44 2026 A4: 1 Sat Feb 21 14:41:44 2026 A5: 1 Sat Feb 21 14:41:44 2026 A6: 1 Sat Feb 21 14:41:44 2026 skew 1.35, size 1.454e-11, alpha 2.428, combined = 8.424e-13 rroots = 0 Sat Feb 21 14:41:44 2026 Sat Feb 21 14:41:44 2026 commencing relation filtering Sat Feb 21 14:41:44 2026 setting target matrix density to 105.0 Sat Feb 21 14:41:44 2026 estimated available RAM is 128740.1 MB Sat Feb 21 14:41:44 2026 commencing duplicate removal, pass 1 Sat Feb 21 14:44:02 2026 error -15 reading relation 105765682 Sat Feb 21 14:44:02 2026 error -15 reading relation 105766227 Sat Feb 21 14:44:02 2026 error -11 reading relation 105788184 Sat Feb 21 14:44:02 2026 error -15 reading relation 105810309 Sat Feb 21 14:44:02 2026 error -9 reading relation 106079184 Sat Feb 21 14:44:03 2026 error -1 reading relation 106188304 Sat Feb 21 14:44:04 2026 skipped 4 relations with b > 2^32 Sat Feb 21 14:44:04 2026 skipped 1 relations with composite factors Sat Feb 21 14:44:04 2026 found 5002758 hash collisions in 107063390 relations Sat Feb 21 14:44:10 2026 added 2438534 free relations Sat Feb 21 14:44:10 2026 commencing duplicate removal, pass 2 Sat Feb 21 14:44:35 2026 found 0 duplicates and 109501924 unique relations Sat Feb 21 14:44:35 2026 memory use: 277.2 MB Sat Feb 21 14:44:35 2026 reading ideals above 720000 Sat Feb 21 14:44:36 2026 commencing singleton removal, initial pass Sat Feb 21 14:49:53 2026 memory use: 3012.0 MB Sat Feb 21 14:49:53 2026 reading all ideals from disk Sat Feb 21 14:49:54 2026 memory use: 4951.3 MB Sat Feb 21 14:50:02 2026 keeping 108036970 ideals with weight <= 200, target excess is 564277 Sat Feb 21 14:50:14 2026 commencing in-memory singleton removal Sat Feb 21 14:50:16 2026 begin with 109501924 relations and 108036970 unique ideals Sat Feb 21 14:50:34 2026 reduce to 59910185 relations and 54006981 ideals in 22 passes Sat Feb 21 14:50:34 2026 max relations containing the same ideal: 146 Sat Feb 21 14:50:55 2026 removing 7621016 relations and 6621016 ideals in 1000000 cliques Sat Feb 21 14:50:57 2026 commencing in-memory singleton removal Sat Feb 21 14:50:58 2026 begin with 52289169 relations and 54006981 unique ideals Sat Feb 21 14:51:05 2026 reduce to 51427530 relations and 46504112 ideals in 11 passes Sat Feb 21 14:51:05 2026 max relations containing the same ideal: 130 Sat Feb 21 14:51:22 2026 removing 5761819 relations and 4761819 ideals in 1000000 cliques Sat Feb 21 14:51:24 2026 commencing in-memory singleton removal Sat Feb 21 14:51:25 2026 begin with 45665711 relations and 46504112 unique ideals Sat Feb 21 14:51:30 2026 reduce to 45090556 relations and 41155188 ideals in 11 passes Sat Feb 21 14:51:30 2026 max relations containing the same ideal: 114 Sat Feb 21 14:51:46 2026 removing 5214925 relations and 4214925 ideals in 1000000 cliques Sat Feb 21 14:51:47 2026 commencing in-memory singleton removal Sat Feb 21 14:51:48 2026 begin with 39875631 relations and 41155188 unique ideals Sat Feb 21 14:51:52 2026 reduce to 39353137 relations and 36406271 ideals in 10 passes Sat Feb 21 14:51:52 2026 max relations containing the same ideal: 103 Sat Feb 21 14:52:06 2026 removing 4936279 relations and 3936279 ideals in 1000000 cliques Sat Feb 21 14:52:08 2026 commencing in-memory singleton removal Sat Feb 21 14:52:08 2026 begin with 34416858 relations and 36406271 unique ideals Sat Feb 21 14:52:12 2026 reduce to 33889127 relations and 31929668 ideals in 11 passes Sat Feb 21 14:52:12 2026 max relations containing the same ideal: 92 Sat Feb 21 14:52:24 2026 removing 4768316 relations and 3768317 ideals in 1000000 cliques Sat Feb 21 14:52:26 2026 commencing in-memory singleton removal Sat Feb 21 14:52:26 2026 begin with 29120811 relations and 31929668 unique ideals Sat Feb 21 14:52:29 2026 reduce to 28560515 relations and 27585778 ideals in 10 passes Sat Feb 21 14:52:29 2026 max relations containing the same ideal: 84 Sat Feb 21 14:52:40 2026 removing 1923839 relations and 1603664 ideals in 320175 cliques Sat Feb 21 14:52:40 2026 commencing in-memory singleton removal Sat Feb 21 14:52:41 2026 begin with 26636676 relations and 27585778 unique ideals Sat Feb 21 14:52:43 2026 reduce to 26539368 relations and 25883739 ideals in 9 passes Sat Feb 21 14:52:43 2026 max relations containing the same ideal: 79 Sat Feb 21 14:52:57 2026 relations with 0 large ideals: 43232 Sat Feb 21 14:52:57 2026 relations with 1 large ideals: 10277 Sat Feb 21 14:52:57 2026 relations with 2 large ideals: 128869 Sat Feb 21 14:52:57 2026 relations with 3 large ideals: 828148 Sat Feb 21 14:52:57 2026 relations with 4 large ideals: 2870888 Sat Feb 21 14:52:57 2026 relations with 5 large ideals: 5832350 Sat Feb 21 14:52:57 2026 relations with 6 large ideals: 7205702 Sat Feb 21 14:52:57 2026 relations with 7+ large ideals: 9619902 Sat Feb 21 14:52:57 2026 commencing 2-way merge Sat Feb 21 14:53:09 2026 reduce to 15795798 relation sets and 15140169 unique ideals Sat Feb 21 14:53:09 2026 commencing full merge Sat Feb 21 14:58:50 2026 memory use: 2095.4 MB Sat Feb 21 14:58:51 2026 found 7297056 cycles, need 7276369 Sat Feb 21 14:58:53 2026 weight of 7276369 cycles is about 764446178 (105.06/cycle) Sat Feb 21 14:58:53 2026 distribution of cycle lengths: Sat Feb 21 14:58:53 2026 1 relations: 611650 Sat Feb 21 14:58:53 2026 2 relations: 604123 Sat Feb 21 14:58:53 2026 3 relations: 583539 Sat Feb 21 14:58:53 2026 4 relations: 550360 Sat Feb 21 14:58:53 2026 5 relations: 520878 Sat Feb 21 14:58:53 2026 6 relations: 491508 Sat Feb 21 14:58:53 2026 7 relations: 455086 Sat Feb 21 14:58:53 2026 8 relations: 424589 Sat Feb 21 14:58:53 2026 9 relations: 393157 Sat Feb 21 14:58:53 2026 10+ relations: 2641479 Sat Feb 21 14:58:53 2026 heaviest cycle: 28 relations Sat Feb 21 14:58:55 2026 commencing cycle optimization Sat Feb 21 14:59:12 2026 start with 60571409 relations Sat Feb 21 15:00:58 2026 pruned 2086607 relations Sat Feb 21 15:00:58 2026 memory use: 1704.2 MB Sat Feb 21 15:00:58 2026 distribution of cycle lengths: Sat Feb 21 15:00:58 2026 1 relations: 611650 Sat Feb 21 15:00:58 2026 2 relations: 614587 Sat Feb 21 15:00:58 2026 3 relations: 601750 Sat Feb 21 15:00:58 2026 4 relations: 566365 Sat Feb 21 15:00:58 2026 5 relations: 539277 Sat Feb 21 15:00:58 2026 6 relations: 506191 Sat Feb 21 15:00:58 2026 7 relations: 470439 Sat Feb 21 15:00:58 2026 8 relations: 436689 Sat Feb 21 15:00:58 2026 9 relations: 404697 Sat Feb 21 15:00:58 2026 10+ relations: 2524724 Sat Feb 21 15:00:58 2026 heaviest cycle: 28 relations Sat Feb 21 15:01:05 2026 RelProcTime: 1161 Sat Feb 21 15:01:05 2026 elapsed time 00:19:22 Sat Feb 21 15:01:09 2026 Sat Feb 21 15:01:09 2026 Sat Feb 21 15:01:09 2026 Msieve v. 1.54 (SVN 573b9ef) Sat Feb 21 15:01:09 2026 random seeds: c8adfc51 995b2b08 Sat Feb 21 15:01:09 2026 MPI process 0 of 2 Sat Feb 21 15:01:09 2026 Using 8 OpenMP threads Sat Feb 21 15:01:09 2026 factoring 16168426630431668982436123736892889970158409529323871628209350601763376552291970177564767899772774449697024708537109688282923390846482128149396144972423180655551216084906767276157118606902577696344833001735949 (209 digits) Sat Feb 21 15:01:09 2026 no P-1/P+1/ECM available, skipping Sat Feb 21 15:01:09 2026 commencing number field sieve (209-digit input) Sat Feb 21 15:01:09 2026 R0: 875752927125977484012315185255495099527 Sat Feb 21 15:01:09 2026 R1: -1 Sat Feb 21 15:01:09 2026 A0: 1 Sat Feb 21 15:01:09 2026 A1: 1 Sat Feb 21 15:01:09 2026 A2: 1 Sat Feb 21 15:01:09 2026 A3: 1 Sat Feb 21 15:01:09 2026 A4: 1 Sat Feb 21 15:01:09 2026 A5: 1 Sat Feb 21 15:01:09 2026 A6: 1 Sat Feb 21 15:01:09 2026 skew 1.35, size 1.454e-11, alpha 2.428, combined = 8.424e-13 rroots = 0 Sat Feb 21 15:01:09 2026 Sat Feb 21 15:01:09 2026 commencing linear algebra Sat Feb 21 15:01:09 2026 using VBITS=256 Sat Feb 21 15:01:09 2026 initialized process (0,0) of 1 x 2 grid Sat Feb 21 15:01:10 2026 read 7276369 cycles Sat Feb 21 15:01:18 2026 cycles contain 26040857 unique relations Sat Feb 21 15:01:29 2026 read 26040857 relations Sat Feb 21 15:01:34 2026 using 20 quadratic characters above 4294917295 Sat Feb 21 15:01:41 2026 building initial matrix Sat Feb 21 15:03:53 2026 memory use: 3144.8 MB Sat Feb 21 15:03:55 2026 read 7276369 cycles Sat Feb 21 15:03:56 2026 matrix is 7276192 x 7276369 (3068.7 MB) with weight 874761303 (120.22/col) Sat Feb 21 15:03:56 2026 sparse part has weight 724407149 (99.56/col) Sat Feb 21 15:04:36 2026 filtering completed in 2 passes Sat Feb 21 15:04:36 2026 matrix is 7275611 x 7275774 (3068.7 MB) with weight 874741444 (120.23/col) Sat Feb 21 15:04:36 2026 sparse part has weight 724400417 (99.56/col) Sat Feb 21 15:04:46 2026 matrix starts at (0, 0) Sat Feb 21 15:04:46 2026 matrix is 7275611 x 3637924 (1534.3 MB) with weight 437365557 (120.22/col) Sat Feb 21 15:04:46 2026 sparse part has weight 362200368 (99.56/col) Sat Feb 21 15:04:46 2026 saving the first 240 matrix rows for later Sat Feb 21 15:04:46 2026 matrix includes 256 packed rows Sat Feb 21 15:04:48 2026 matrix is 7275371 x 3637924 (1411.9 MB) with weight 329515645 (90.58/col) Sat Feb 21 15:04:48 2026 sparse part has weight 311910759 (85.74/col) Sat Feb 21 15:04:48 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Sat Feb 21 15:04:48 2026 selected card has CUDA arch 8.6 Sat Feb 21 15:04:58 2026 commencing Lanczos iteration Sat Feb 21 15:04:59 2026 memory use: 3642.5 MB Sat Feb 21 15:05:13 2026 linear algebra at 0.4%, ETA 0h55m Sat Feb 21 15:05:33 2026 checking every 130000 dimensions, checkpointing every 8190000 dimensions Sat Feb 21 15:57:40 2026 lanczos halted after 28506 iterations (dim = 7275368) Sat Feb 21 15:58:08 2026 recovered 37 nontrivial dependencies Sat Feb 21 15:58:08 2026 BLanczosTime: 3419 Sat Feb 21 15:58:08 2026 elapsed time 00:56:59 Sat Feb 21 17:16:13 2026 Sat Feb 21 17:16:13 2026 Sat Feb 21 17:16:13 2026 Msieve v. 1.54 (SVN 573b9ef) Sat Feb 21 17:16:13 2026 random seeds: 99c59aad d5e5032e Sat Feb 21 17:16:13 2026 Using 32 OpenMP threads Sat Feb 21 17:16:13 2026 factoring 16168426630431668982436123736892889970158409529323871628209350601763376552291970177564767899772774449697024708537109688282923390846482128149396144972423180655551216084906767276157118606902577696344833001735949 (209 digits) Sat Feb 21 17:16:13 2026 no P-1/P+1/ECM available, skipping Sat Feb 21 17:16:13 2026 commencing number field sieve (209-digit input) Sat Feb 21 17:16:13 2026 R0: 875752927125977484012315185255495099527 Sat Feb 21 17:16:13 2026 R1: -1 Sat Feb 21 17:16:13 2026 A0: 1 Sat Feb 21 17:16:13 2026 A1: 1 Sat Feb 21 17:16:13 2026 A2: 1 Sat Feb 21 17:16:13 2026 A3: 1 Sat Feb 21 17:16:13 2026 A4: 1 Sat Feb 21 17:16:13 2026 A5: 1 Sat Feb 21 17:16:13 2026 A6: 1 Sat Feb 21 17:16:13 2026 skew 1.35, size 1.454e-11, alpha 2.428, combined = 8.424e-13 rroots = 0 Sat Feb 21 17:16:13 2026 Sat Feb 21 17:16:13 2026 commencing square root phase Sat Feb 21 17:16:13 2026 reading relations for dependency 1 Sat Feb 21 17:16:14 2026 read 3637200 cycles Sat Feb 21 17:16:21 2026 cycles contain 13018398 unique relations Sat Feb 21 17:16:37 2026 read 13018398 relations Sat Feb 21 17:17:23 2026 multiplying 13018398 relations Sat Feb 21 17:18:19 2026 multiply complete, coefficients have about 317.10 million bits Sat Feb 21 17:18:20 2026 initial square root is modulo 489529 Sat Feb 21 17:20:30 2026 GCD is N, no factor found Sat Feb 21 17:20:30 2026 reading relations for dependency 2 Sat Feb 21 17:20:31 2026 read 3639577 cycles Sat Feb 21 17:20:38 2026 cycles contain 13023650 unique relations Sat Feb 21 17:20:53 2026 read 13023650 relations Sat Feb 21 17:21:40 2026 multiplying 13023650 relations Sat Feb 21 17:22:34 2026 multiply complete, coefficients have about 317.21 million bits Sat Feb 21 17:22:35 2026 initial square root is modulo 491923 Sat Feb 21 17:24:46 2026 GCD is 1, no factor found Sat Feb 21 17:24:46 2026 reading relations for dependency 3 Sat Feb 21 17:24:46 2026 read 3637376 cycles Sat Feb 21 17:24:53 2026 cycles contain 13017728 unique relations Sat Feb 21 17:25:09 2026 read 13017728 relations Sat Feb 21 17:25:58 2026 multiplying 13017728 relations Sat Feb 21 17:26:53 2026 multiply complete, coefficients have about 317.07 million bits Sat Feb 21 17:26:54 2026 initial square root is modulo 488981 Sat Feb 21 17:29:04 2026 GCD is N, no factor found Sat Feb 21 17:29:04 2026 reading relations for dependency 4 Sat Feb 21 17:29:04 2026 read 3638817 cycles Sat Feb 21 17:29:11 2026 cycles contain 13024518 unique relations Sat Feb 21 17:29:26 2026 read 13024518 relations Sat Feb 21 17:30:14 2026 multiplying 13024518 relations Sat Feb 21 17:31:09 2026 multiply complete, coefficients have about 317.23 million bits Sat Feb 21 17:31:10 2026 initial square root is modulo 492257 Sat Feb 21 17:33:21 2026 GCD is 1, no factor found Sat Feb 21 17:33:21 2026 reading relations for dependency 5 Sat Feb 21 17:33:22 2026 read 3639296 cycles Sat Feb 21 17:33:29 2026 cycles contain 13025100 unique relations Sat Feb 21 17:33:45 2026 read 13025100 relations Sat Feb 21 17:34:33 2026 multiplying 13025100 relations Sat Feb 21 17:35:27 2026 multiply complete, coefficients have about 317.25 million bits Sat Feb 21 17:35:28 2026 initial square root is modulo 492707 Sat Feb 21 17:37:22 2026 sqrtTime: 1269 Sat Feb 21 17:37:22 2026 p66 factor: 116014893953687498821140337866001547086361925484630819104164532707 Sat Feb 21 17:37:22 2026 p144 factor: 139365094251484771207478758080987751085151271912929952433378868649191659791814454303937505910814804336660944503622603619552262718270703683901007 Sat Feb 21 17:37:22 2026 elapsed time 00:21:09