Tue Jan 13 12:09:57 2026 Msieve v. 1.54 (SVN 573b9ef) Tue Jan 13 12:09:57 2026 random seeds: 34770126 54087cf0 Tue Jan 13 12:09:57 2026 Using 32 OpenMP threads Tue Jan 13 12:09:57 2026 factoring 391484383043447285880966214276787907382557197385151090007117331939468558350367230514467823380067503524296651793477321193312258050906747492475569637114301363063814442553856839348993692762457455877254507261877790187 (213 digits) Tue Jan 13 12:09:57 2026 no P-1/P+1/ECM available, skipping Tue Jan 13 12:09:57 2026 commencing number field sieve (213-digit input) Tue Jan 13 12:09:57 2026 R0: 23611107779345276228141876565854103589 Tue Jan 13 12:09:57 2026 R1: -1 Tue Jan 13 12:09:57 2026 A0: 1 Tue Jan 13 12:09:57 2026 A1: 1 Tue Jan 13 12:09:57 2026 A2: 1 Tue Jan 13 12:09:57 2026 A3: 1 Tue Jan 13 12:09:57 2026 A4: 1 Tue Jan 13 12:09:57 2026 A5: 1 Tue Jan 13 12:09:57 2026 A6: 1 Tue Jan 13 12:09:57 2026 skew 1.35, size 4.082e-11, alpha 2.428, combined = 1.776e-12 rroots = 0 Tue Jan 13 12:09:57 2026 Tue Jan 13 12:09:57 2026 commencing relation filtering Tue Jan 13 12:09:57 2026 setting target matrix density to 100.0 Tue Jan 13 12:09:57 2026 estimated available RAM is 128740.1 MB Tue Jan 13 12:09:57 2026 commencing duplicate removal, pass 1 Tue Jan 13 12:10:29 2026 skipped 1 relations with b > 2^32 Tue Jan 13 12:10:29 2026 found 1938899 hash collisions in 65803087 relations Tue Jan 13 12:10:29 2026 commencing duplicate removal, pass 2 Tue Jan 13 12:10:38 2026 found 0 duplicates and 65803087 unique relations Tue Jan 13 12:10:38 2026 memory use: 202.6 MB Tue Jan 13 12:10:38 2026 reading ideals above 720000 Tue Jan 13 12:10:38 2026 commencing singleton removal, initial pass Tue Jan 13 12:12:08 2026 memory use: 1506.0 MB Tue Jan 13 12:12:08 2026 reading all ideals from disk Tue Jan 13 12:12:09 2026 memory use: 2912.6 MB Tue Jan 13 12:12:11 2026 keeping 63028103 ideals with weight <= 200, target excess is 337625 Tue Jan 13 12:12:14 2026 commencing in-memory singleton removal Tue Jan 13 12:12:14 2026 begin with 65803087 relations and 63028103 unique ideals Tue Jan 13 12:12:20 2026 reduce to 41192948 relations and 36360383 ideals in 18 passes Tue Jan 13 12:12:20 2026 max relations containing the same ideal: 154 Tue Jan 13 12:12:27 2026 removing 5986971 relations and 4986971 ideals in 1000000 cliques Tue Jan 13 12:12:28 2026 commencing in-memory singleton removal Tue Jan 13 12:12:29 2026 begin with 35205977 relations and 36360383 unique ideals Tue Jan 13 12:12:31 2026 reduce to 34355245 relations and 30495174 ideals in 12 passes Tue Jan 13 12:12:31 2026 max relations containing the same ideal: 134 Tue Jan 13 12:12:37 2026 removing 4744027 relations and 3744027 ideals in 1000000 cliques Tue Jan 13 12:12:38 2026 commencing in-memory singleton removal Tue Jan 13 12:12:38 2026 begin with 29611218 relations and 30495174 unique ideals Tue Jan 13 12:12:40 2026 reduce to 29051294 relations and 26174067 ideals in 9 passes Tue Jan 13 12:12:40 2026 max relations containing the same ideal: 121 Tue Jan 13 12:12:45 2026 removing 4313703 relations and 3313703 ideals in 1000000 cliques Tue Jan 13 12:12:46 2026 commencing in-memory singleton removal Tue Jan 13 12:12:47 2026 begin with 24737591 relations and 26174067 unique ideals Tue Jan 13 12:12:48 2026 reduce to 24208075 relations and 22313338 ideals in 9 passes Tue Jan 13 12:12:48 2026 max relations containing the same ideal: 107 Tue Jan 13 12:12:52 2026 removing 4102054 relations and 3102054 ideals in 1000000 cliques Tue Jan 13 12:12:53 2026 commencing in-memory singleton removal Tue Jan 13 12:12:53 2026 begin with 20106021 relations and 22313338 unique ideals Tue Jan 13 12:12:54 2026 reduce to 19549386 relations and 18633053 ideals in 10 passes Tue Jan 13 12:12:54 2026 max relations containing the same ideal: 92 Tue Jan 13 12:12:58 2026 removing 2425167 relations and 1900480 ideals in 524687 cliques Tue Jan 13 12:12:59 2026 commencing in-memory singleton removal Tue Jan 13 12:12:59 2026 begin with 17124219 relations and 18633053 unique ideals Tue Jan 13 12:13:00 2026 reduce to 16900493 relations and 16503253 ideals in 9 passes Tue Jan 13 12:13:00 2026 max relations containing the same ideal: 85 Tue Jan 13 12:13:05 2026 relations with 0 large ideals: 25582 Tue Jan 13 12:13:05 2026 relations with 1 large ideals: 5323 Tue Jan 13 12:13:05 2026 relations with 2 large ideals: 53874 Tue Jan 13 12:13:05 2026 relations with 3 large ideals: 376494 Tue Jan 13 12:13:05 2026 relations with 4 large ideals: 1437415 Tue Jan 13 12:13:05 2026 relations with 5 large ideals: 3239773 Tue Jan 13 12:13:05 2026 relations with 6 large ideals: 4497856 Tue Jan 13 12:13:05 2026 relations with 7+ large ideals: 7264176 Tue Jan 13 12:13:05 2026 commencing 2-way merge Tue Jan 13 12:13:09 2026 reduce to 10418911 relation sets and 10021671 unique ideals Tue Jan 13 12:13:09 2026 commencing full merge Tue Jan 13 12:15:29 2026 memory use: 1424.6 MB Tue Jan 13 12:15:29 2026 found 4918697 cycles, need 4895871 Tue Jan 13 12:15:30 2026 weight of 4895871 cycles is about 489785289 (100.04/cycle) Tue Jan 13 12:15:30 2026 distribution of cycle lengths: Tue Jan 13 12:15:30 2026 1 relations: 380065 Tue Jan 13 12:15:30 2026 2 relations: 406193 Tue Jan 13 12:15:30 2026 3 relations: 408789 Tue Jan 13 12:15:30 2026 4 relations: 390227 Tue Jan 13 12:15:30 2026 5 relations: 373446 Tue Jan 13 12:15:30 2026 6 relations: 352153 Tue Jan 13 12:15:30 2026 7 relations: 331091 Tue Jan 13 12:15:30 2026 8 relations: 307179 Tue Jan 13 12:15:30 2026 9 relations: 283160 Tue Jan 13 12:15:30 2026 10+ relations: 1663568 Tue Jan 13 12:15:30 2026 heaviest cycle: 28 relations Tue Jan 13 12:15:31 2026 commencing cycle optimization Tue Jan 13 12:15:36 2026 start with 39101458 relations Tue Jan 13 12:16:19 2026 pruned 1427051 relations Tue Jan 13 12:16:19 2026 memory use: 1094.6 MB Tue Jan 13 12:16:19 2026 distribution of cycle lengths: Tue Jan 13 12:16:19 2026 1 relations: 380065 Tue Jan 13 12:16:19 2026 2 relations: 413575 Tue Jan 13 12:16:19 2026 3 relations: 422309 Tue Jan 13 12:16:19 2026 4 relations: 402280 Tue Jan 13 12:16:19 2026 5 relations: 387600 Tue Jan 13 12:16:19 2026 6 relations: 364274 Tue Jan 13 12:16:19 2026 7 relations: 343397 Tue Jan 13 12:16:19 2026 8 relations: 317178 Tue Jan 13 12:16:19 2026 9 relations: 291675 Tue Jan 13 12:16:19 2026 10+ relations: 1573518 Tue Jan 13 12:16:19 2026 heaviest cycle: 28 relations Tue Jan 13 12:16:24 2026 RelProcTime: 387 Tue Jan 13 12:16:24 2026 elapsed time 00:06:27 Tue Jan 13 12:19:51 2026 Tue Jan 13 12:19:51 2026 Tue Jan 13 12:19:51 2026 Msieve v. 1.54 (SVN 573b9ef) Tue Jan 13 12:19:51 2026 random seeds: 4f0458bc 0669e224 Tue Jan 13 12:19:51 2026 MPI process 0 of 2 Tue Jan 13 12:19:51 2026 Using 8 OpenMP threads Tue Jan 13 12:19:51 2026 factoring 391484383043447285880966214276787907382557197385151090007117331939468558350367230514467823380067503524296651793477321193312258050906747492475569637114301363063814442553856839348993692762457455877254507261877790187 (213 digits) Tue Jan 13 12:19:51 2026 no P-1/P+1/ECM available, skipping Tue Jan 13 12:19:51 2026 commencing number field sieve (213-digit input) Tue Jan 13 12:19:51 2026 R0: 23611107779345276228141876565854103589 Tue Jan 13 12:19:51 2026 R1: -1 Tue Jan 13 12:19:51 2026 A0: 1 Tue Jan 13 12:19:51 2026 A1: 1 Tue Jan 13 12:19:51 2026 A2: 1 Tue Jan 13 12:19:51 2026 A3: 1 Tue Jan 13 12:19:51 2026 A4: 1 Tue Jan 13 12:19:51 2026 A5: 1 Tue Jan 13 12:19:51 2026 A6: 1 Tue Jan 13 12:19:51 2026 skew 1.35, size 4.082e-11, alpha 2.428, combined = 1.776e-12 rroots = 0 Tue Jan 13 12:19:51 2026 Tue Jan 13 12:19:51 2026 commencing linear algebra Tue Jan 13 12:19:51 2026 using VBITS=256 Tue Jan 13 12:19:51 2026 initialized process (0,0) of 1 x 2 grid Tue Jan 13 12:19:52 2026 read 4895871 cycles Tue Jan 13 12:19:57 2026 cycles contain 16581491 unique relations Tue Jan 13 12:20:04 2026 read 16581491 relations Tue Jan 13 12:20:06 2026 using 20 quadratic characters above 4294917295 Tue Jan 13 12:20:11 2026 building initial matrix Tue Jan 13 12:21:35 2026 memory use: 1981.1 MB Tue Jan 13 12:21:37 2026 read 4895871 cycles Tue Jan 13 12:21:38 2026 matrix is 4895694 x 4895871 (1974.0 MB) with weight 564255501 (115.25/col) Tue Jan 13 12:21:38 2026 sparse part has weight 463625027 (94.70/col) Tue Jan 13 12:21:59 2026 filtering completed in 2 passes Tue Jan 13 12:22:00 2026 matrix is 4895274 x 4895438 (1974.0 MB) with weight 564240716 (115.26/col) Tue Jan 13 12:22:00 2026 sparse part has weight 463619403 (94.70/col) Tue Jan 13 12:22:05 2026 matrix starts at (0, 0) Tue Jan 13 12:22:06 2026 matrix is 4895274 x 2447694 (987.0 MB) with weight 282123633 (115.26/col) Tue Jan 13 12:22:06 2026 sparse part has weight 231809847 (94.71/col) Tue Jan 13 12:22:06 2026 saving the first 240 matrix rows for later Tue Jan 13 12:22:06 2026 matrix includes 256 packed rows Tue Jan 13 12:22:07 2026 matrix is 4895034 x 2447694 (907.6 MB) with weight 210346737 (85.94/col) Tue Jan 13 12:22:07 2026 sparse part has weight 198765992 (81.21/col) Tue Jan 13 12:22:07 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Tue Jan 13 12:22:07 2026 selected card has CUDA arch 8.6 Tue Jan 13 12:22:14 2026 commencing Lanczos iteration Tue Jan 13 12:22:14 2026 memory use: 2366.1 MB Tue Jan 13 12:22:30 2026 linear algebra at 0.6%, ETA 0h39m Tue Jan 13 12:22:52 2026 checking every 120000 dimensions, checkpointing every 7560000 dimensions Tue Jan 13 13:02:18 2026 lanczos halted after 19180 iterations (dim = 4895034) Tue Jan 13 13:02:29 2026 recovered 40 nontrivial dependencies Tue Jan 13 13:02:29 2026 BLanczosTime: 2558 Tue Jan 13 13:02:29 2026 elapsed time 00:42:38 Tue Jan 13 13:06:33 2026 Tue Jan 13 13:06:33 2026 Tue Jan 13 13:06:33 2026 Msieve v. 1.54 (SVN 573b9ef) Tue Jan 13 13:06:33 2026 random seeds: 11f523be 6f78f75f Tue Jan 13 13:06:33 2026 Using 32 OpenMP threads Tue Jan 13 13:06:33 2026 factoring 391484383043447285880966214276787907382557197385151090007117331939468558350367230514467823380067503524296651793477321193312258050906747492475569637114301363063814442553856839348993692762457455877254507261877790187 (213 digits) Tue Jan 13 13:06:34 2026 no P-1/P+1/ECM available, skipping Tue Jan 13 13:06:34 2026 commencing number field sieve (213-digit input) Tue Jan 13 13:06:34 2026 R0: 23611107779345276228141876565854103589 Tue Jan 13 13:06:34 2026 R1: -1 Tue Jan 13 13:06:34 2026 A0: 1 Tue Jan 13 13:06:34 2026 A1: 1 Tue Jan 13 13:06:34 2026 A2: 1 Tue Jan 13 13:06:34 2026 A3: 1 Tue Jan 13 13:06:34 2026 A4: 1 Tue Jan 13 13:06:34 2026 A5: 1 Tue Jan 13 13:06:34 2026 A6: 1 Tue Jan 13 13:06:34 2026 skew 1.35, size 4.082e-11, alpha 2.428, combined = 1.776e-12 rroots = 0 Tue Jan 13 13:06:34 2026 Tue Jan 13 13:06:34 2026 commencing square root phase Tue Jan 13 13:06:34 2026 reading relations for dependency 1 Tue Jan 13 13:06:34 2026 read 2447412 cycles Tue Jan 13 13:06:37 2026 cycles contain 8291136 unique relations Tue Jan 13 13:06:42 2026 read 8291136 relations Tue Jan 13 13:07:01 2026 multiplying 8291136 relations Tue Jan 13 13:07:17 2026 multiply complete, coefficients have about 199.72 million bits Tue Jan 13 13:07:17 2026 initial square root is modulo 14706011 Tue Jan 13 13:08:00 2026 GCD is N, no factor found Tue Jan 13 13:08:00 2026 reading relations for dependency 2 Tue Jan 13 13:08:01 2026 read 2447281 cycles Tue Jan 13 13:08:03 2026 cycles contain 8287198 unique relations Tue Jan 13 13:08:08 2026 read 8287198 relations Tue Jan 13 13:08:26 2026 multiplying 8287198 relations Tue Jan 13 13:08:42 2026 multiply complete, coefficients have about 199.62 million bits Tue Jan 13 13:08:43 2026 initial square root is modulo 14587541 Tue Jan 13 13:09:26 2026 found factor: 34400850296723688976392203518935389925590524808088155984717694977609758229 Tue Jan 13 13:09:26 2026 reading relations for dependency 3 Tue Jan 13 13:09:26 2026 read 2449084 cycles Tue Jan 13 13:09:29 2026 cycles contain 8291350 unique relations Tue Jan 13 13:09:33 2026 read 8291350 relations Tue Jan 13 13:09:52 2026 multiplying 8291350 relations Tue Jan 13 13:10:08 2026 multiply complete, coefficients have about 199.72 million bits Tue Jan 13 13:10:08 2026 initial square root is modulo 14702593 Tue Jan 13 13:10:51 2026 sqrtTime: 257 Tue Jan 13 13:10:51 2026 p56 factor: 20840151675565189529172557991042666500804216235092962133 Tue Jan 13 13:10:51 2026 p74 factor: 34400850296723688976392203518935389925590524808088155984717694977609758229 Tue Jan 13 13:10:51 2026 p84 factor: 546065060244768628234482377979183962284470326686359641256855682671099314383673573891 Tue Jan 13 13:10:51 2026 elapsed time 00:04:18