Sun Apr 5 12:30:02 2026 Sun Apr 5 12:30:02 2026 Sun Apr 5 12:30:02 2026 Msieve v. 1.54 (SVN unknown) Sun Apr 5 12:30:02 2026 random seeds: 3080ef6a 39237de8 Sun Apr 5 12:30:02 2026 factoring 296916502583198665073995631444860038103847864655810023655022417384889133385806207199443071008545358423794767012505600593982395434572650123609850989005479375894628733091927968513108691130983823061371731941151281866290804181 (222 digits) Sun Apr 5 12:30:03 2026 no P-1/P+1/ECM available, skipping Sun Apr 5 12:30:03 2026 commencing number field sieve (222-digit input) Sun Apr 5 12:30:03 2026 R0: 4014407457590812589049639518342786387431 Sun Apr 5 12:30:03 2026 R1: -1 Sun Apr 5 12:30:03 2026 A0: 1 Sun Apr 5 12:30:03 2026 A1: 1 Sun Apr 5 12:30:03 2026 A2: 1 Sun Apr 5 12:30:03 2026 A3: 1 Sun Apr 5 12:30:03 2026 A4: 1 Sun Apr 5 12:30:03 2026 A5: 1 Sun Apr 5 12:30:03 2026 A6: 1 Sun Apr 5 12:30:03 2026 skew 1.35, size 9.410e-12, alpha 2.428, combined = 6.132e-13 rroots = 0 Sun Apr 5 12:30:03 2026 Sun Apr 5 12:30:03 2026 commencing relation filtering Sun Apr 5 12:30:03 2026 setting target matrix density to 100.0 Sun Apr 5 12:30:03 2026 estimated available RAM is 7902.4 MB Sun Apr 5 12:30:03 2026 commencing duplicate removal, pass 1 Sun Apr 5 12:44:04 2026 skipped 18 relations with b > 2^32 Sun Apr 5 12:44:04 2026 skipped 1 relations with composite factors Sun Apr 5 12:44:04 2026 found 5630248 hash collisions in 113866959 relations Sun Apr 5 12:44:13 2026 added 2438534 free relations Sun Apr 5 12:44:13 2026 commencing duplicate removal, pass 2 Sun Apr 5 12:45:01 2026 found 0 duplicates and 116305493 unique relations Sun Apr 5 12:45:01 2026 memory use: 378.4 MB Sun Apr 5 12:45:01 2026 reading ideals above 81068032 Sun Apr 5 12:45:01 2026 commencing singleton removal, initial pass Sun Apr 5 12:55:55 2026 memory use: 2756.0 MB Sun Apr 5 12:55:55 2026 reading all ideals from disk Sun Apr 5 12:56:02 2026 memory use: 2117.4 MB Sun Apr 5 12:56:07 2026 commencing in-memory singleton removal Sun Apr 5 12:56:12 2026 begin with 116305493 relations and 107590235 unique ideals Sun Apr 5 12:57:00 2026 reduce to 60057186 relations and 43995228 ideals in 15 passes Sun Apr 5 12:57:00 2026 max relations containing the same ideal: 38 Sun Apr 5 12:57:03 2026 reading ideals above 720000 Sun Apr 5 12:57:03 2026 commencing singleton removal, initial pass Sun Apr 5 13:05:05 2026 memory use: 1378.0 MB Sun Apr 5 13:05:05 2026 reading all ideals from disk Sun Apr 5 13:05:12 2026 memory use: 2284.6 MB Sun Apr 5 13:05:19 2026 keeping 53141088 ideals with weight <= 200, target excess is 310231 Sun Apr 5 13:05:26 2026 commencing in-memory singleton removal Sun Apr 5 13:05:32 2026 begin with 60057186 relations and 53141088 unique ideals Sun Apr 5 13:06:06 2026 reduce to 60055543 relations and 53139442 ideals in 6 passes Sun Apr 5 13:06:06 2026 max relations containing the same ideal: 200 Sun Apr 5 13:06:39 2026 removing 6491944 relations and 5491944 ideals in 1000000 cliques Sun Apr 5 13:06:42 2026 commencing in-memory singleton removal Sun Apr 5 13:06:47 2026 begin with 53563599 relations and 53139442 unique ideals Sun Apr 5 13:07:32 2026 reduce to 52961511 relations and 47032304 ideals in 10 passes Sun Apr 5 13:07:32 2026 max relations containing the same ideal: 192 Sun Apr 5 13:07:56 2026 removing 5000099 relations and 4000099 ideals in 1000000 cliques Sun Apr 5 13:07:59 2026 commencing in-memory singleton removal Sun Apr 5 13:08:03 2026 begin with 47961412 relations and 47032304 unique ideals Sun Apr 5 13:08:34 2026 reduce to 47567818 relations and 42630927 ideals in 9 passes Sun Apr 5 13:08:34 2026 max relations containing the same ideal: 180 Sun Apr 5 13:08:57 2026 removing 4548131 relations and 3548131 ideals in 1000000 cliques Sun Apr 5 13:08:59 2026 commencing in-memory singleton removal Sun Apr 5 13:09:02 2026 begin with 43019687 relations and 42630927 unique ideals Sun Apr 5 13:09:27 2026 reduce to 42671453 relations and 38727665 ideals in 8 passes Sun Apr 5 13:09:27 2026 max relations containing the same ideal: 169 Sun Apr 5 13:09:47 2026 removing 4305956 relations and 3305956 ideals in 1000000 cliques Sun Apr 5 13:09:49 2026 commencing in-memory singleton removal Sun Apr 5 13:09:52 2026 begin with 38365497 relations and 38727665 unique ideals Sun Apr 5 13:10:19 2026 reduce to 38028784 relations and 35077815 ideals in 9 passes Sun Apr 5 13:10:19 2026 max relations containing the same ideal: 157 Sun Apr 5 13:10:38 2026 removing 4145026 relations and 3145026 ideals in 1000000 cliques Sun Apr 5 13:10:40 2026 commencing in-memory singleton removal Sun Apr 5 13:10:42 2026 begin with 33883758 relations and 35077815 unique ideals Sun Apr 5 13:11:04 2026 reduce to 33545908 relations and 31586948 ideals in 9 passes Sun Apr 5 13:11:04 2026 max relations containing the same ideal: 143 Sun Apr 5 13:11:20 2026 removing 4032337 relations and 3032337 ideals in 1000000 cliques Sun Apr 5 13:11:22 2026 commencing in-memory singleton removal Sun Apr 5 13:11:24 2026 begin with 29513571 relations and 31586948 unique ideals Sun Apr 5 13:11:42 2026 reduce to 29156268 relations and 28187979 ideals in 8 passes Sun Apr 5 13:11:42 2026 max relations containing the same ideal: 131 Sun Apr 5 13:11:56 2026 removing 2652764 relations and 2044343 ideals in 608421 cliques Sun Apr 5 13:11:57 2026 commencing in-memory singleton removal Sun Apr 5 13:11:59 2026 begin with 26503504 relations and 28187979 unique ideals Sun Apr 5 13:12:14 2026 reduce to 26333301 relations and 25970217 ideals in 8 passes Sun Apr 5 13:12:14 2026 max relations containing the same ideal: 122 Sun Apr 5 13:12:31 2026 relations with 0 large ideals: 23733 Sun Apr 5 13:12:31 2026 relations with 1 large ideals: 2845 Sun Apr 5 13:12:31 2026 relations with 2 large ideals: 28033 Sun Apr 5 13:12:31 2026 relations with 3 large ideals: 239599 Sun Apr 5 13:12:31 2026 relations with 4 large ideals: 1154243 Sun Apr 5 13:12:31 2026 relations with 5 large ideals: 3336030 Sun Apr 5 13:12:31 2026 relations with 6 large ideals: 6027687 Sun Apr 5 13:12:31 2026 relations with 7+ large ideals: 15521131 Sun Apr 5 13:12:31 2026 commencing 2-way merge Sun Apr 5 13:12:48 2026 reduce to 16878180 relation sets and 16515096 unique ideals Sun Apr 5 13:12:48 2026 commencing full merge Sun Apr 5 13:19:37 2026 memory use: 2308.0 MB Sun Apr 5 13:19:39 2026 found 8053160 cycles, need 8031296 Sun Apr 5 13:19:42 2026 weight of 8031296 cycles is about 803729182 (100.07/cycle) Sun Apr 5 13:19:42 2026 distribution of cycle lengths: Sun Apr 5 13:19:42 2026 1 relations: 542677 Sun Apr 5 13:19:42 2026 2 relations: 639636 Sun Apr 5 13:19:42 2026 3 relations: 688713 Sun Apr 5 13:19:42 2026 4 relations: 677304 Sun Apr 5 13:19:42 2026 5 relations: 653690 Sun Apr 5 13:19:42 2026 6 relations: 620712 Sun Apr 5 13:19:42 2026 7 relations: 580064 Sun Apr 5 13:19:42 2026 8 relations: 536195 Sun Apr 5 13:19:42 2026 9 relations: 486899 Sun Apr 5 13:19:42 2026 10+ relations: 2605406 Sun Apr 5 13:19:42 2026 heaviest cycle: 28 relations Sun Apr 5 13:19:45 2026 commencing cycle optimization Sun Apr 5 13:20:02 2026 start with 62709773 relations Sun Apr 5 13:22:23 2026 pruned 2319839 relations Sun Apr 5 13:22:23 2026 memory use: 1741.6 MB Sun Apr 5 13:22:23 2026 distribution of cycle lengths: Sun Apr 5 13:22:23 2026 1 relations: 542677 Sun Apr 5 13:22:23 2026 2 relations: 652266 Sun Apr 5 13:22:23 2026 3 relations: 713567 Sun Apr 5 13:22:23 2026 4 relations: 699579 Sun Apr 5 13:22:23 2026 5 relations: 679578 Sun Apr 5 13:22:23 2026 6 relations: 641947 Sun Apr 5 13:22:23 2026 7 relations: 602018 Sun Apr 5 13:22:23 2026 8 relations: 552398 Sun Apr 5 13:22:24 2026 9 relations: 500492 Sun Apr 5 13:22:24 2026 10+ relations: 2446774 Sun Apr 5 13:22:24 2026 heaviest cycle: 28 relations Sun Apr 5 13:22:43 2026 RelProcTime: 3160 Sun Apr 5 13:22:43 2026 elapsed time 00:52:41 Sun Apr 5 14:37:58 2026 Sun Apr 5 14:37:58 2026 Sun Apr 5 14:37:58 2026 Msieve v. 1.54 (SVN unknown) Sun Apr 5 14:37:58 2026 random seeds: 3f56a0db a1bf69e6 Sun Apr 5 14:37:58 2026 factoring 296916502583198665073995631444860038103847864655810023655022417384889133385806207199443071008545358423794767012505600593982395434572650123609850989005479375894628733091927968513108691130983823061371731941151281866290804181 (222 digits) Sun Apr 5 14:37:59 2026 no P-1/P+1/ECM available, skipping Sun Apr 5 14:37:59 2026 commencing number field sieve (222-digit input) Sun Apr 5 14:37:59 2026 R0: 4014407457590812589049639518342786387431 Sun Apr 5 14:37:59 2026 R1: -1 Sun Apr 5 14:37:59 2026 A0: 1 Sun Apr 5 14:37:59 2026 A1: 1 Sun Apr 5 14:37:59 2026 A2: 1 Sun Apr 5 14:37:59 2026 A3: 1 Sun Apr 5 14:37:59 2026 A4: 1 Sun Apr 5 14:37:59 2026 A5: 1 Sun Apr 5 14:37:59 2026 A6: 1 Sun Apr 5 14:37:59 2026 skew 1.35, size 9.410e-12, alpha 2.428, combined = 6.132e-13 rroots = 0 Sun Apr 5 14:37:59 2026 Sun Apr 5 14:37:59 2026 commencing linear algebra Sun Apr 5 14:37:59 2026 using VBITS=512 Sun Apr 5 14:38:01 2026 read 8031296 cycles Sun Apr 5 14:38:19 2026 cycles contain 26080852 unique relations Sun Apr 5 14:40:54 2026 read 26080852 relations Sun Apr 5 14:41:49 2026 using 20 quadratic characters above 4294917295 Sun Apr 5 14:43:59 2026 building initial matrix Sun Apr 5 14:49:45 2026 memory use: 3189.8 MB Sun Apr 5 14:49:53 2026 read 8031296 cycles Sun Apr 5 14:49:54 2026 matrix is 8031119 x 8031296 (3244.0 MB) with weight 925862344 (115.28/col) Sun Apr 5 14:49:54 2026 sparse part has weight 762041521 (94.88/col) Sun Apr 5 14:51:39 2026 filtering completed in 2 passes Sun Apr 5 14:51:41 2026 matrix is 8030858 x 8031000 (3243.9 MB) with weight 925852975 (115.28/col) Sun Apr 5 14:51:41 2026 sparse part has weight 762037965 (94.89/col) Sun Apr 5 14:52:15 2026 matrix starts at (0, 0) Sun Apr 5 14:52:16 2026 matrix is 8030858 x 8031000 (3243.9 MB) with weight 925852975 (115.28/col) Sun Apr 5 14:52:16 2026 sparse part has weight 762037965 (94.89/col) Sun Apr 5 14:52:16 2026 saving the first 496 matrix rows for later Sun Apr 5 14:52:19 2026 matrix includes 512 packed rows Sun Apr 5 14:52:26 2026 matrix is 8030362 x 8031000 (3108.4 MB) with weight 656868546 (81.79/col) Sun Apr 5 14:52:26 2026 sparse part has weight 622117293 (77.46/col) Sun Apr 5 14:52:27 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Sun Apr 5 14:52:27 2026 selected card has CUDA arch 8.6 Sun Apr 5 14:53:43 2026 commencing Lanczos iteration Sun Apr 5 17:00:19 2026 Sun Apr 5 17:00:19 2026 Sun Apr 5 17:00:19 2026 Msieve v. 1.54 (SVN unknown) Sun Apr 5 17:00:19 2026 random seeds: 6b936e41 4bacb2cc Sun Apr 5 17:00:19 2026 factoring 296916502583198665073995631444860038103847864655810023655022417384889133385806207199443071008545358423794767012505600593982395434572650123609850989005479375894628733091927968513108691130983823061371731941151281866290804181 (222 digits) Sun Apr 5 17:00:20 2026 no P-1/P+1/ECM available, skipping Sun Apr 5 17:00:20 2026 commencing number field sieve (222-digit input) Sun Apr 5 17:00:20 2026 R0: 4014407457590812589049639518342786387431 Sun Apr 5 17:00:20 2026 R1: -1 Sun Apr 5 17:00:20 2026 A0: 1 Sun Apr 5 17:00:20 2026 A1: 1 Sun Apr 5 17:00:20 2026 A2: 1 Sun Apr 5 17:00:20 2026 A3: 1 Sun Apr 5 17:00:20 2026 A4: 1 Sun Apr 5 17:00:20 2026 A5: 1 Sun Apr 5 17:00:20 2026 A6: 1 Sun Apr 5 17:00:20 2026 skew 1.35, size 9.410e-12, alpha 2.428, combined = 6.132e-13 rroots = 0 Sun Apr 5 17:00:20 2026 Sun Apr 5 17:00:20 2026 commencing linear algebra Sun Apr 5 17:00:20 2026 using VBITS=512 Sun Apr 5 17:00:20 2026 skipping matrix build Sun Apr 5 17:00:28 2026 matrix starts at (0, 0) Sun Apr 5 17:00:29 2026 matrix is 8030858 x 8031000 (3243.9 MB) with weight 925852975 (115.28/col) Sun Apr 5 17:00:29 2026 sparse part has weight 762037965 (94.89/col) Sun Apr 5 17:00:29 2026 saving the first 496 matrix rows for later Sun Apr 5 17:00:31 2026 matrix includes 512 packed rows Sun Apr 5 17:00:36 2026 matrix is 8030362 x 8031000 (3108.4 MB) with weight 656868546 (81.79/col) Sun Apr 5 17:00:36 2026 sparse part has weight 622117293 (77.46/col) Sun Apr 5 17:00:36 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Sun Apr 5 17:00:36 2026 selected card has CUDA arch 8.6 Sun Apr 5 17:01:45 2026 commencing Lanczos iteration Sun Apr 5 17:01:49 2026 memory use: 9801.3 MB Sun Apr 5 17:02:21 2026 linear algebra at 0.2%, ETA 4h12m Sun Apr 5 17:02:22 2026 checkpointing every 1910000 dimensions Sun Apr 5 21:18:24 2026 lanczos halted after 15709 iterations (dim = 8030357) Sun Apr 5 21:20:01 2026 recovered 35 nontrivial dependencies Sun Apr 5 21:20:01 2026 BLanczosTime: 15581 Sun Apr 5 21:20:01 2026 elapsed time 04:19:42 Sun Apr 5 21:20:40 2026 Sun Apr 5 21:20:40 2026 Sun Apr 5 21:20:40 2026 Msieve v. 1.54 (SVN unknown) Sun Apr 5 21:20:40 2026 random seeds: ac64140a 33d83bda Sun Apr 5 21:20:40 2026 factoring 296916502583198665073995631444860038103847864655810023655022417384889133385806207199443071008545358423794767012505600593982395434572650123609850989005479375894628733091927968513108691130983823061371731941151281866290804181 (222 digits) Sun Apr 5 21:20:41 2026 no P-1/P+1/ECM available, skipping Sun Apr 5 21:20:41 2026 commencing number field sieve (222-digit input) Sun Apr 5 21:20:41 2026 R0: 4014407457590812589049639518342786387431 Sun Apr 5 21:20:41 2026 R1: -1 Sun Apr 5 21:20:41 2026 A0: 1 Sun Apr 5 21:20:41 2026 A1: 1 Sun Apr 5 21:20:41 2026 A2: 1 Sun Apr 5 21:20:41 2026 A3: 1 Sun Apr 5 21:20:41 2026 A4: 1 Sun Apr 5 21:20:41 2026 A5: 1 Sun Apr 5 21:20:41 2026 A6: 1 Sun Apr 5 21:20:41 2026 skew 1.35, size 9.410e-12, alpha 2.428, combined = 6.132e-13 rroots = 0 Sun Apr 5 21:20:41 2026 Sun Apr 5 21:20:41 2026 commencing square root phase Sun Apr 5 21:20:41 2026 reading relations for dependency 1 Sun Apr 5 21:20:42 2026 read 4018105 cycles Sun Apr 5 21:20:48 2026 cycles contain 13042950 unique relations Sun Apr 5 21:22:11 2026 read 13042950 relations Sun Apr 5 21:23:18 2026 multiplying 13042950 relations Sun Apr 5 21:31:47 2026 multiply complete, coefficients have about 321.56 million bits Sun Apr 5 21:31:49 2026 initial square root is modulo 588703 Sun Apr 5 21:41:34 2026 sqrtTime: 1253 Sun Apr 5 21:41:34 2026 p77 factor: 43686245002585571116854551129706643826001329729361561492235126565591989665197 Sun Apr 5 21:41:34 2026 p145 factor: 6796567261975151608193230159862597858556208609285289011731926174339179128222686504855345310519168128068220032344686173874272213793906599595478473 Sun Apr 5 21:41:34 2026 elapsed time 00:20:54