Mon Mar 30 15:52:36 2026 Mon Mar 30 15:52:36 2026 Mon Mar 30 15:52:36 2026 Msieve v. 1.54 (SVN unknown) Mon Mar 30 15:52:36 2026 random seeds: 023b1c89 10df71ae Mon Mar 30 15:52:36 2026 factoring 1372008317180092254889017542138717169059531039132847269797868426463189543253930368369099063894970253778621414519911417784939859993475414330817855742548729225017015745751580094725095660624860660437002302411899767376986005779 (223 digits) Mon Mar 30 15:52:37 2026 no P-1/P+1/ECM available, skipping Mon Mar 30 15:52:37 2026 commencing number field sieve (223-digit input) Mon Mar 30 15:52:37 2026 R0: 18425795770969122858692719586573146797700630922 Mon Mar 30 15:52:37 2026 R1: -135741650833372152777661 Mon Mar 30 15:52:37 2026 A0: 1 Mon Mar 30 15:52:37 2026 A1: 3 Mon Mar 30 15:52:37 2026 A2: -3 Mon Mar 30 15:52:37 2026 A3: -4 Mon Mar 30 15:52:37 2026 A4: 1 Mon Mar 30 15:52:37 2026 A5: 1 Mon Mar 30 15:52:37 2026 skew 1.48, size 9.631e-16, alpha 2.379, combined = 9.259e-13 rroots = 5 Mon Mar 30 15:52:37 2026 Mon Mar 30 15:52:37 2026 commencing relation filtering Mon Mar 30 15:52:37 2026 setting target matrix density to 100.0 Mon Mar 30 15:52:37 2026 estimated available RAM is 7902.4 MB Mon Mar 30 15:52:37 2026 commencing duplicate removal, pass 1 Mon Mar 30 16:06:55 2026 skipped 24 relations with b > 2^32 Mon Mar 30 16:06:55 2026 found 6087674 hash collisions in 118565541 relations Mon Mar 30 16:07:04 2026 added 2926300 free relations Mon Mar 30 16:07:04 2026 commencing duplicate removal, pass 2 Mon Mar 30 16:07:59 2026 found 0 duplicates and 121491841 unique relations Mon Mar 30 16:07:59 2026 memory use: 378.4 MB Mon Mar 30 16:07:59 2026 reading ideals above 84869120 Mon Mar 30 16:07:59 2026 commencing singleton removal, initial pass Mon Mar 30 16:18:55 2026 memory use: 3012.0 MB Mon Mar 30 16:18:56 2026 reading all ideals from disk Mon Mar 30 16:19:02 2026 memory use: 2059.5 MB Mon Mar 30 16:19:07 2026 commencing in-memory singleton removal Mon Mar 30 16:19:12 2026 begin with 121491841 relations and 108377658 unique ideals Mon Mar 30 16:20:03 2026 reduce to 65683851 relations and 45565226 ideals in 14 passes Mon Mar 30 16:20:03 2026 max relations containing the same ideal: 38 Mon Mar 30 16:20:08 2026 reading ideals above 720000 Mon Mar 30 16:20:08 2026 commencing singleton removal, initial pass Mon Mar 30 16:28:39 2026 memory use: 1506.0 MB Mon Mar 30 16:28:39 2026 reading all ideals from disk Mon Mar 30 16:28:46 2026 memory use: 2453.5 MB Mon Mar 30 16:28:53 2026 keeping 55093977 ideals with weight <= 200, target excess is 344765 Mon Mar 30 16:29:01 2026 commencing in-memory singleton removal Mon Mar 30 16:29:07 2026 begin with 65683852 relations and 55093977 unique ideals Mon Mar 30 16:29:46 2026 reduce to 65680055 relations and 55090165 ideals in 8 passes Mon Mar 30 16:29:46 2026 max relations containing the same ideal: 200 Mon Mar 30 16:30:13 2026 removing 9942040 relations and 7942040 ideals in 2000000 cliques Mon Mar 30 16:30:15 2026 commencing in-memory singleton removal Mon Mar 30 16:30:19 2026 begin with 55738015 relations and 55090165 unique ideals Mon Mar 30 16:31:00 2026 reduce to 54461101 relations and 45820878 ideals in 11 passes Mon Mar 30 16:31:00 2026 max relations containing the same ideal: 187 Mon Mar 30 16:31:28 2026 removing 7891818 relations and 5891818 ideals in 2000000 cliques Mon Mar 30 16:31:32 2026 commencing in-memory singleton removal Mon Mar 30 16:31:36 2026 begin with 46569283 relations and 45820878 unique ideals Mon Mar 30 16:32:04 2026 reduce to 45656108 relations and 38981421 ideals in 8 passes Mon Mar 30 16:32:04 2026 max relations containing the same ideal: 167 Mon Mar 30 16:32:26 2026 removing 7257089 relations and 5257089 ideals in 2000000 cliques Mon Mar 30 16:32:29 2026 commencing in-memory singleton removal Mon Mar 30 16:32:32 2026 begin with 38399019 relations and 38981421 unique ideals Mon Mar 30 16:32:59 2026 reduce to 37519765 relations and 32808223 ideals in 10 passes Mon Mar 30 16:32:59 2026 max relations containing the same ideal: 146 Mon Mar 30 16:33:17 2026 removing 6940090 relations and 4940090 ideals in 2000000 cliques Mon Mar 30 16:33:20 2026 commencing in-memory singleton removal Mon Mar 30 16:33:22 2026 begin with 30579675 relations and 32808223 unique ideals Mon Mar 30 16:33:39 2026 reduce to 29655262 relations and 26897678 ideals in 8 passes Mon Mar 30 16:33:39 2026 max relations containing the same ideal: 127 Mon Mar 30 16:33:53 2026 removing 6720147 relations and 4720147 ideals in 2000000 cliques Mon Mar 30 16:33:56 2026 commencing in-memory singleton removal Mon Mar 30 16:33:58 2026 begin with 22935115 relations and 26897678 unique ideals Mon Mar 30 16:34:12 2026 reduce to 21890312 relations and 21066988 ideals in 9 passes Mon Mar 30 16:34:12 2026 max relations containing the same ideal: 104 Mon Mar 30 16:34:23 2026 removing 1980786 relations and 1557390 ideals in 423396 cliques Mon Mar 30 16:34:24 2026 commencing in-memory singleton removal Mon Mar 30 16:34:25 2026 begin with 19909526 relations and 21066988 unique ideals Mon Mar 30 16:34:35 2026 reduce to 19789220 relations and 19387099 ideals in 7 passes Mon Mar 30 16:34:35 2026 max relations containing the same ideal: 98 Mon Mar 30 16:34:48 2026 relations with 0 large ideals: 28208 Mon Mar 30 16:34:48 2026 relations with 1 large ideals: 3453 Mon Mar 30 16:34:48 2026 relations with 2 large ideals: 41745 Mon Mar 30 16:34:48 2026 relations with 3 large ideals: 321509 Mon Mar 30 16:34:48 2026 relations with 4 large ideals: 1347238 Mon Mar 30 16:34:48 2026 relations with 5 large ideals: 3335148 Mon Mar 30 16:34:48 2026 relations with 6 large ideals: 5744660 Mon Mar 30 16:34:48 2026 relations with 7+ large ideals: 8967259 Mon Mar 30 16:34:48 2026 commencing 2-way merge Mon Mar 30 16:35:01 2026 reduce to 12558309 relation sets and 12156188 unique ideals Mon Mar 30 16:35:01 2026 commencing full merge Mon Mar 30 16:40:06 2026 memory use: 1693.3 MB Mon Mar 30 16:40:08 2026 found 6032138 cycles, need 5996388 Mon Mar 30 16:40:10 2026 weight of 5996388 cycles is about 599711530 (100.01/cycle) Mon Mar 30 16:40:10 2026 distribution of cycle lengths: Mon Mar 30 16:40:10 2026 1 relations: 350380 Mon Mar 30 16:40:10 2026 2 relations: 435828 Mon Mar 30 16:40:10 2026 3 relations: 483931 Mon Mar 30 16:40:10 2026 4 relations: 491160 Mon Mar 30 16:40:10 2026 5 relations: 488287 Mon Mar 30 16:40:10 2026 6 relations: 474864 Mon Mar 30 16:40:10 2026 7 relations: 452441 Mon Mar 30 16:40:10 2026 8 relations: 423487 Mon Mar 30 16:40:10 2026 9 relations: 388459 Mon Mar 30 16:40:10 2026 10+ relations: 2007551 Mon Mar 30 16:40:10 2026 heaviest cycle: 28 relations Mon Mar 30 16:40:13 2026 commencing cycle optimization Mon Mar 30 16:40:25 2026 start with 47644610 relations Mon Mar 30 16:42:11 2026 pruned 1837327 relations Mon Mar 30 16:42:11 2026 memory use: 1313.7 MB Mon Mar 30 16:42:11 2026 distribution of cycle lengths: Mon Mar 30 16:42:11 2026 1 relations: 350380 Mon Mar 30 16:42:11 2026 2 relations: 444587 Mon Mar 30 16:42:11 2026 3 relations: 501510 Mon Mar 30 16:42:11 2026 4 relations: 508474 Mon Mar 30 16:42:11 2026 5 relations: 509770 Mon Mar 30 16:42:11 2026 6 relations: 493785 Mon Mar 30 16:42:11 2026 7 relations: 471794 Mon Mar 30 16:42:11 2026 8 relations: 439255 Mon Mar 30 16:42:11 2026 9 relations: 401102 Mon Mar 30 16:42:11 2026 10+ relations: 1875731 Mon Mar 30 16:42:11 2026 heaviest cycle: 28 relations Mon Mar 30 16:42:27 2026 RelProcTime: 2990 Mon Mar 30 16:42:27 2026 elapsed time 00:49:51 Mon Mar 30 18:24:22 2026 Mon Mar 30 18:24:22 2026 Mon Mar 30 18:24:22 2026 Msieve v. 1.54 (SVN unknown) Mon Mar 30 18:24:22 2026 random seeds: 41afd814 fb35fcbb Mon Mar 30 18:24:22 2026 factoring 1372008317180092254889017542138717169059531039132847269797868426463189543253930368369099063894970253778621414519911417784939859993475414330817855742548729225017015745751580094725095660624860660437002302411899767376986005779 (223 digits) Mon Mar 30 18:24:23 2026 no P-1/P+1/ECM available, skipping Mon Mar 30 18:24:23 2026 commencing number field sieve (223-digit input) Mon Mar 30 18:24:23 2026 R0: 18425795770969122858692719586573146797700630922 Mon Mar 30 18:24:23 2026 R1: -135741650833372152777661 Mon Mar 30 18:24:23 2026 A0: 1 Mon Mar 30 18:24:23 2026 A1: 3 Mon Mar 30 18:24:23 2026 A2: -3 Mon Mar 30 18:24:23 2026 A3: -4 Mon Mar 30 18:24:23 2026 A4: 1 Mon Mar 30 18:24:23 2026 A5: 1 Mon Mar 30 18:24:23 2026 skew 1.48, size 9.631e-16, alpha 2.379, combined = 9.259e-13 rroots = 5 Mon Mar 30 18:24:23 2026 Mon Mar 30 18:24:23 2026 commencing linear algebra Mon Mar 30 18:24:23 2026 using VBITS=512 Mon Mar 30 18:24:24 2026 read 5996388 cycles Mon Mar 30 18:24:38 2026 cycles contain 19533112 unique relations Mon Mar 30 18:26:29 2026 read 19533112 relations Mon Mar 30 18:27:04 2026 using 20 quadratic characters above 4294917295 Mon Mar 30 18:28:44 2026 building initial matrix Mon Mar 30 18:33:09 2026 memory use: 2417.6 MB Mon Mar 30 18:33:12 2026 read 5996388 cycles Mon Mar 30 18:33:13 2026 matrix is 5996211 x 5996388 (2420.4 MB) with weight 691990107 (115.40/col) Mon Mar 30 18:33:13 2026 sparse part has weight 568542752 (94.81/col) Mon Mar 30 18:34:27 2026 filtering completed in 2 passes Mon Mar 30 18:34:28 2026 matrix is 5995906 x 5996043 (2420.4 MB) with weight 691979384 (115.41/col) Mon Mar 30 18:34:28 2026 sparse part has weight 568538785 (94.82/col) Mon Mar 30 18:34:47 2026 matrix starts at (0, 0) Mon Mar 30 18:34:48 2026 matrix is 5995906 x 5996043 (2420.4 MB) with weight 691979384 (115.41/col) Mon Mar 30 18:34:48 2026 sparse part has weight 568538785 (94.82/col) Mon Mar 30 18:34:48 2026 saving the first 496 matrix rows for later Mon Mar 30 18:34:50 2026 matrix includes 512 packed rows Mon Mar 30 18:34:55 2026 matrix is 5995410 x 5996043 (2312.4 MB) with weight 489025364 (81.56/col) Mon Mar 30 18:34:55 2026 sparse part has weight 462273900 (77.10/col) Mon Mar 30 18:34:56 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Mon Mar 30 18:34:56 2026 selected card has CUDA arch 8.6 Mon Mar 30 18:35:42 2026 commencing Lanczos iteration Mon Mar 30 18:35:43 2026 memory use: 6683.4 MB Mon Mar 30 18:36:30 2026 linear algebra at 0.3%, ETA 4h52m Mon Mar 30 18:36:31 2026 checkpointing every 1250000 dimensions Mon Mar 30 20:50:20 2026 lanczos halted after 11729 iterations (dim = 5995407) Mon Mar 30 20:52:05 2026 recovered 33 nontrivial dependencies Mon Mar 30 20:52:05 2026 BLanczosTime: 8862 Mon Mar 30 20:52:05 2026 elapsed time 02:27:43 Mon Mar 30 20:56:28 2026 Mon Mar 30 20:56:28 2026 Mon Mar 30 20:56:28 2026 Msieve v. 1.54 (SVN unknown) Mon Mar 30 20:56:28 2026 random seeds: 3962892f 50288148 Mon Mar 30 20:56:28 2026 factoring 1372008317180092254889017542138717169059531039132847269797868426463189543253930368369099063894970253778621414519911417784939859993475414330817855742548729225017015745751580094725095660624860660437002302411899767376986005779 (223 digits) Mon Mar 30 20:56:29 2026 no P-1/P+1/ECM available, skipping Mon Mar 30 20:56:29 2026 commencing number field sieve (223-digit input) Mon Mar 30 20:56:29 2026 R0: 18425795770969122858692719586573146797700630922 Mon Mar 30 20:56:29 2026 R1: -135741650833372152777661 Mon Mar 30 20:56:29 2026 A0: 1 Mon Mar 30 20:56:29 2026 A1: 3 Mon Mar 30 20:56:29 2026 A2: -3 Mon Mar 30 20:56:29 2026 A3: -4 Mon Mar 30 20:56:29 2026 A4: 1 Mon Mar 30 20:56:29 2026 A5: 1 Mon Mar 30 20:56:29 2026 skew 1.48, size 9.631e-16, alpha 2.379, combined = 9.259e-13 rroots = 5 Mon Mar 30 20:56:29 2026 Mon Mar 30 20:56:29 2026 commencing square root phase Mon Mar 30 20:56:29 2026 reading relations for dependency 1 Mon Mar 30 20:56:30 2026 read 3000055 cycles Mon Mar 30 20:56:36 2026 cycles contain 9771252 unique relations Mon Mar 30 20:57:48 2026 read 9771252 relations Mon Mar 30 20:58:33 2026 multiplying 9771252 relations Mon Mar 30 21:02:38 2026 multiply complete, coefficients have about 240.98 million bits Mon Mar 30 21:02:39 2026 initial square root is modulo 444763589 Mon Mar 30 21:07:46 2026 GCD is N, no factor found Mon Mar 30 21:07:46 2026 reading relations for dependency 2 Mon Mar 30 21:07:47 2026 read 2999031 cycles Mon Mar 30 21:07:52 2026 cycles contain 9768600 unique relations Mon Mar 30 21:08:57 2026 read 9768600 relations Mon Mar 30 21:09:40 2026 multiplying 9768600 relations Mon Mar 30 21:13:50 2026 multiply complete, coefficients have about 240.92 million bits Mon Mar 30 21:13:51 2026 initial square root is modulo 442480741 Mon Mar 30 21:19:01 2026 Newton iteration failed to converge Mon Mar 30 21:19:01 2026 algebraic square root failed Mon Mar 30 21:19:01 2026 reading relations for dependency 3 Mon Mar 30 21:19:02 2026 read 2997893 cycles Mon Mar 30 21:19:08 2026 cycles contain 9765982 unique relations Mon Mar 30 21:20:10 2026 read 9765982 relations Mon Mar 30 21:20:53 2026 multiplying 9765982 relations Mon Mar 30 21:25:00 2026 multiply complete, coefficients have about 240.85 million bits Mon Mar 30 21:25:01 2026 initial square root is modulo 439891561 Mon Mar 30 21:30:06 2026 Newton iteration failed to converge Mon Mar 30 21:30:06 2026 algebraic square root failed Mon Mar 30 21:30:06 2026 reading relations for dependency 4 Mon Mar 30 21:30:07 2026 read 2997302 cycles Mon Mar 30 21:30:12 2026 cycles contain 9766186 unique relations Mon Mar 30 21:31:16 2026 read 9766186 relations Mon Mar 30 21:31:58 2026 multiplying 9766186 relations Mon Mar 30 21:35:31 2026 multiply complete, coefficients have about 240.85 million bits Mon Mar 30 21:35:32 2026 initial square root is modulo 440086511 Mon Mar 30 21:40:48 2026 GCD is 1, no factor found Mon Mar 30 21:40:48 2026 reading relations for dependency 5 Mon Mar 30 21:40:49 2026 read 2997646 cycles Mon Mar 30 21:40:55 2026 cycles contain 9765046 unique relations Mon Mar 30 21:41:59 2026 read 9765046 relations Mon Mar 30 21:42:46 2026 multiplying 9765046 relations Mon Mar 30 21:47:09 2026 multiply complete, coefficients have about 240.83 million bits Mon Mar 30 21:47:10 2026 initial square root is modulo 439177741 Mon Mar 30 21:52:33 2026 GCD is 1, no factor found Mon Mar 30 21:52:33 2026 reading relations for dependency 6 Mon Mar 30 21:52:34 2026 read 2997704 cycles Mon Mar 30 21:52:39 2026 cycles contain 9766552 unique relations Mon Mar 30 21:53:42 2026 read 9766552 relations Mon Mar 30 21:54:25 2026 multiplying 9766552 relations Mon Mar 30 21:58:37 2026 multiply complete, coefficients have about 240.87 million bits Mon Mar 30 21:58:38 2026 initial square root is modulo 440501609 Mon Mar 30 23:26:13 2026 Mon Mar 30 23:26:13 2026 Mon Mar 30 23:26:13 2026 Msieve v. 1.54 (SVN unknown) Mon Mar 30 23:26:13 2026 random seeds: c26e9bb3 e2919378 Mon Mar 30 23:26:13 2026 factoring 1372008317180092254889017542138717169059531039132847269797868426463189543253930368369099063894970253778621414519911417784939859993475414330817855742548729225017015745751580094725095660624860660437002302411899767376986005779 (223 digits) Mon Mar 30 23:26:13 2026 no P-1/P+1/ECM available, skipping Mon Mar 30 23:26:13 2026 commencing number field sieve (223-digit input) Mon Mar 30 23:26:13 2026 R0: 18425795770969122858692719586573146797700630922 Mon Mar 30 23:26:13 2026 R1: -135741650833372152777661 Mon Mar 30 23:26:13 2026 A0: 1 Mon Mar 30 23:26:13 2026 A1: 3 Mon Mar 30 23:26:13 2026 A2: -3 Mon Mar 30 23:26:13 2026 A3: -4 Mon Mar 30 23:26:13 2026 A4: 1 Mon Mar 30 23:26:13 2026 A5: 1 Mon Mar 30 23:26:13 2026 skew 1.48, size 9.631e-16, alpha 2.379, combined = 9.259e-13 rroots = 5 Mon Mar 30 23:26:13 2026 Mon Mar 30 23:26:13 2026 commencing square root phase Mon Mar 30 23:26:13 2026 handling dependencies 6 to 7 Mon Mar 30 23:26:13 2026 reading relations for dependency 6 Mon Mar 30 23:26:14 2026 read 2997704 cycles Mon Mar 30 23:26:19 2026 cycles contain 9766552 unique relations Mon Mar 30 23:27:00 2026 read 9766552 relations Mon Mar 30 23:27:35 2026 multiplying 9766552 relations Mon Mar 30 23:31:44 2026 multiply complete, coefficients have about 240.87 million bits Mon Mar 30 23:31:46 2026 initial square root is modulo 440501609 Mon Mar 30 23:37:14 2026 sqrtTime: 661 Mon Mar 30 23:37:14 2026 p59 factor: 10658601949238033087515443277975342845859251987510025377331 Mon Mar 30 23:37:14 2026 p165 factor: 128723103059325242959519939215621151402507654865349731135704985400429569069422171899529298269783356011786060492927201548833732439137497225183448349873418756110395809 Mon Mar 30 23:37:14 2026 elapsed time 00:11:01