Sat May 2 18:51:27 2026 Sat May 2 18:51:27 2026 Sat May 2 18:51:27 2026 Msieve v. 1.54 (SVN unknown) Sat May 2 18:51:27 2026 random seeds: c4ee01c2 923fccb8 Sat May 2 18:51:27 2026 factoring 232562652512156201591499247337052325024833049766355928063682569821261089686408049373947324459552367622780896136605136269703540644575732654440828587007118927658104683782469831328777009872742439729131 (198 digits) Sat May 2 18:51:29 2026 no P-1/P+1/ECM available, skipping Sat May 2 18:51:29 2026 commencing number field sieve (198-digit input) Sat May 2 18:51:29 2026 R0: 7977010112749352713691220314841679058812074154101997 Sat May 2 18:51:29 2026 R1: -1 Sat May 2 18:51:29 2026 A0: 1 Sat May 2 18:51:29 2026 A1: 1 Sat May 2 18:51:29 2026 A2: 1 Sat May 2 18:51:29 2026 A3: 1 Sat May 2 18:51:29 2026 A4: 1 Sat May 2 18:51:29 2026 skew 1.93, size 3.550e-21, alpha 1.694, combined = 1.203e-12 rroots = 0 Sat May 2 18:51:29 2026 Sat May 2 18:51:29 2026 commencing relation filtering Sat May 2 18:51:29 2026 setting target matrix density to 100.0 Sat May 2 18:51:29 2026 estimated available RAM is 7902.4 MB Sat May 2 18:51:29 2026 commencing duplicate removal, pass 1 Sat May 2 19:05:56 2026 error -11 reading relation 97888666 Sat May 2 19:09:41 2026 skipped 83 relations with b > 2^32 Sat May 2 19:09:41 2026 found 6898148 hash collisions in 126498846 relations Sat May 2 19:09:52 2026 added 3657740 free relations Sat May 2 19:09:52 2026 commencing duplicate removal, pass 2 Sat May 2 19:10:48 2026 found 0 duplicates and 130156586 unique relations Sat May 2 19:10:48 2026 memory use: 394.4 MB Sat May 2 19:10:48 2026 reading ideals above 94961664 Sat May 2 19:10:48 2026 commencing singleton removal, initial pass Sat May 2 19:24:42 2026 memory use: 3012.0 MB Sat May 2 19:24:43 2026 reading all ideals from disk Sat May 2 19:24:48 2026 memory use: 2122.4 MB Sat May 2 19:24:54 2026 commencing in-memory singleton removal Sat May 2 19:25:03 2026 begin with 130156586 relations and 109642773 unique ideals Sat May 2 19:26:02 2026 reduce to 75610245 relations and 48702473 ideals in 13 passes Sat May 2 19:26:02 2026 max relations containing the same ideal: 48 Sat May 2 19:26:08 2026 reading ideals above 720000 Sat May 2 19:26:08 2026 commencing singleton removal, initial pass Sat May 2 19:35:16 2026 memory use: 1506.0 MB Sat May 2 19:35:16 2026 reading all ideals from disk Sat May 2 19:35:24 2026 memory use: 2797.3 MB Sat May 2 19:35:30 2026 keeping 59293705 ideals with weight <= 200, target excess is 383347 Sat May 2 19:35:37 2026 commencing in-memory singleton removal Sat May 2 19:35:44 2026 begin with 75610246 relations and 59293705 unique ideals Sat May 2 19:36:23 2026 reduce to 75602873 relations and 59286295 ideals in 6 passes Sat May 2 19:36:23 2026 max relations containing the same ideal: 200 Sat May 2 19:37:03 2026 removing 9337534 relations and 7337534 ideals in 2000000 cliques Sat May 2 19:37:07 2026 commencing in-memory singleton removal Sat May 2 19:37:13 2026 begin with 66265339 relations and 59286295 unique ideals Sat May 2 19:37:52 2026 reduce to 65338561 relations and 50990255 ideals in 8 passes Sat May 2 19:37:52 2026 max relations containing the same ideal: 191 Sat May 2 19:38:23 2026 removing 7311656 relations and 5311656 ideals in 2000000 cliques Sat May 2 19:38:26 2026 commencing in-memory singleton removal Sat May 2 19:38:31 2026 begin with 58026905 relations and 50990255 unique ideals Sat May 2 19:39:04 2026 reduce to 57382991 relations and 45013871 ideals in 8 passes Sat May 2 19:39:04 2026 max relations containing the same ideal: 177 Sat May 2 19:39:29 2026 removing 6728161 relations and 4728161 ideals in 2000000 cliques Sat May 2 19:39:32 2026 commencing in-memory singleton removal Sat May 2 19:39:36 2026 begin with 50654830 relations and 45013871 unique ideals Sat May 2 19:40:01 2026 reduce to 50076233 relations and 39687515 ideals in 7 passes Sat May 2 19:40:01 2026 max relations containing the same ideal: 163 Sat May 2 19:40:23 2026 removing 6423088 relations and 4423088 ideals in 2000000 cliques Sat May 2 19:40:26 2026 commencing in-memory singleton removal Sat May 2 19:40:29 2026 begin with 43653145 relations and 39687515 unique ideals Sat May 2 19:40:50 2026 reduce to 43088631 relations and 34678555 ideals in 7 passes Sat May 2 19:40:50 2026 max relations containing the same ideal: 148 Sat May 2 19:41:10 2026 removing 6218574 relations and 4218574 ideals in 2000000 cliques Sat May 2 19:41:13 2026 commencing in-memory singleton removal Sat May 2 19:41:16 2026 begin with 36870057 relations and 34678555 unique ideals Sat May 2 19:41:36 2026 reduce to 36292161 relations and 29857434 ideals in 8 passes Sat May 2 19:41:36 2026 max relations containing the same ideal: 131 Sat May 2 19:41:53 2026 removing 6065358 relations and 4065358 ideals in 2000000 cliques Sat May 2 19:41:55 2026 commencing in-memory singleton removal Sat May 2 19:41:57 2026 begin with 30226803 relations and 29857434 unique ideals Sat May 2 19:42:14 2026 reduce to 29619463 relations and 25154401 ideals in 8 passes Sat May 2 19:42:14 2026 max relations containing the same ideal: 117 Sat May 2 19:42:28 2026 removing 5922416 relations and 3922416 ideals in 2000000 cliques Sat May 2 19:42:30 2026 commencing in-memory singleton removal Sat May 2 19:42:31 2026 begin with 23697047 relations and 25154401 unique ideals Sat May 2 19:42:44 2026 reduce to 23038581 relations and 20533779 ideals in 8 passes Sat May 2 19:42:44 2026 max relations containing the same ideal: 98 Sat May 2 19:42:55 2026 removing 5759303 relations and 3759303 ideals in 2000000 cliques Sat May 2 19:42:57 2026 commencing in-memory singleton removal Sat May 2 19:42:58 2026 begin with 17279278 relations and 20533779 unique ideals Sat May 2 19:43:08 2026 reduce to 16519658 relations and 15956677 ideals in 9 passes Sat May 2 19:43:08 2026 max relations containing the same ideal: 75 Sat May 2 19:43:16 2026 removing 580577 relations and 462279 ideals in 118298 cliques Sat May 2 19:43:17 2026 commencing in-memory singleton removal Sat May 2 19:43:18 2026 begin with 15939081 relations and 15956677 unique ideals Sat May 2 19:43:25 2026 reduce to 15925629 relations and 15480849 ideals in 6 passes Sat May 2 19:43:25 2026 max relations containing the same ideal: 73 Sat May 2 19:43:28 2026 relations with 0 large ideals: 31457 Sat May 2 19:43:28 2026 relations with 1 large ideals: 4672 Sat May 2 19:43:28 2026 relations with 2 large ideals: 57209 Sat May 2 19:43:28 2026 relations with 3 large ideals: 397303 Sat May 2 19:43:28 2026 relations with 4 large ideals: 1501481 Sat May 2 19:43:28 2026 relations with 5 large ideals: 3843027 Sat May 2 19:43:28 2026 relations with 6 large ideals: 4224354 Sat May 2 19:43:28 2026 relations with 7+ large ideals: 5866126 Sat May 2 19:43:28 2026 commencing 2-way merge Sat May 2 19:43:38 2026 reduce to 10712197 relation sets and 10267417 unique ideals Sat May 2 19:43:38 2026 commencing full merge Sat May 2 19:47:49 2026 memory use: 1352.7 MB Sat May 2 19:47:51 2026 found 5148888 cycles, need 5105617 Sat May 2 19:47:54 2026 weight of 5105617 cycles is about 510608556 (100.01/cycle) Sat May 2 19:47:54 2026 distribution of cycle lengths: Sat May 2 19:47:54 2026 1 relations: 174668 Sat May 2 19:47:54 2026 2 relations: 297860 Sat May 2 19:47:54 2026 3 relations: 385394 Sat May 2 19:47:54 2026 4 relations: 420264 Sat May 2 19:47:54 2026 5 relations: 434087 Sat May 2 19:47:54 2026 6 relations: 432645 Sat May 2 19:47:54 2026 7 relations: 417800 Sat May 2 19:47:54 2026 8 relations: 390059 Sat May 2 19:47:54 2026 9 relations: 355630 Sat May 2 19:47:54 2026 10+ relations: 1797210 Sat May 2 19:47:54 2026 heaviest cycle: 28 relations Sat May 2 19:47:56 2026 commencing cycle optimization Sat May 2 19:48:13 2026 start with 42259546 relations Sat May 2 19:49:55 2026 pruned 1923270 relations Sat May 2 19:49:55 2026 memory use: 1105.5 MB Sat May 2 19:49:55 2026 distribution of cycle lengths: Sat May 2 19:49:55 2026 1 relations: 174668 Sat May 2 19:49:55 2026 2 relations: 304860 Sat May 2 19:49:55 2026 3 relations: 402211 Sat May 2 19:49:55 2026 4 relations: 438687 Sat May 2 19:49:55 2026 5 relations: 458370 Sat May 2 19:49:55 2026 6 relations: 455364 Sat May 2 19:49:55 2026 7 relations: 440327 Sat May 2 19:49:55 2026 8 relations: 407541 Sat May 2 19:49:55 2026 9 relations: 370085 Sat May 2 19:49:55 2026 10+ relations: 1653504 Sat May 2 19:49:55 2026 heaviest cycle: 28 relations Sat May 2 19:50:08 2026 RelProcTime: 3519 Sat May 2 19:50:08 2026 elapsed time 00:58:41 Sat May 2 20:15:19 2026 Sat May 2 20:15:19 2026 Sat May 2 20:15:19 2026 Msieve v. 1.54 (SVN unknown) Sat May 2 20:15:19 2026 random seeds: 6bb2a9d0 44dd8bad Sat May 2 20:15:19 2026 factoring 232562652512156201591499247337052325024833049766355928063682569821261089686408049373947324459552367622780896136605136269703540644575732654440828587007118927658104683782469831328777009872742439729131 (198 digits) Sat May 2 20:15:20 2026 no P-1/P+1/ECM available, skipping Sat May 2 20:15:20 2026 commencing number field sieve (198-digit input) Sat May 2 20:15:20 2026 R0: 7977010112749352713691220314841679058812074154101997 Sat May 2 20:15:20 2026 R1: -1 Sat May 2 20:15:20 2026 A0: 1 Sat May 2 20:15:20 2026 A1: 1 Sat May 2 20:15:20 2026 A2: 1 Sat May 2 20:15:20 2026 A3: 1 Sat May 2 20:15:20 2026 A4: 1 Sat May 2 20:15:20 2026 skew 1.93, size 3.550e-21, alpha 1.694, combined = 1.203e-12 rroots = 0 Sat May 2 20:15:20 2026 Sat May 2 20:15:20 2026 commencing linear algebra Sat May 2 20:15:20 2026 using VBITS=512 Sat May 2 20:15:21 2026 read 5105617 cycles Sat May 2 20:15:34 2026 cycles contain 15711234 unique relations Sat May 2 20:17:13 2026 read 15711234 relations Sat May 2 20:17:42 2026 using 20 quadratic characters above 4294917295 Sat May 2 20:19:05 2026 building initial matrix Sat May 2 20:22:37 2026 memory use: 1928.5 MB Sat May 2 20:22:39 2026 read 5105617 cycles Sat May 2 20:22:40 2026 matrix is 5105440 x 5105617 (2054.3 MB) with weight 592960153 (116.14/col) Sat May 2 20:22:40 2026 sparse part has weight 482373125 (94.48/col) Sat May 2 20:23:46 2026 filtering completed in 2 passes Sat May 2 20:23:47 2026 matrix is 5105297 x 5105429 (2054.3 MB) with weight 592954988 (116.14/col) Sat May 2 20:23:47 2026 sparse part has weight 482371440 (94.48/col) Sat May 2 20:24:03 2026 matrix starts at (0, 0) Sat May 2 20:24:04 2026 matrix is 5105297 x 5105429 (2054.3 MB) with weight 592954988 (116.14/col) Sat May 2 20:24:04 2026 sparse part has weight 482371440 (94.48/col) Sat May 2 20:24:04 2026 saving the first 496 matrix rows for later Sat May 2 20:24:05 2026 matrix includes 512 packed rows Sat May 2 20:24:10 2026 matrix is 5104801 x 5105429 (1954.0 MB) with weight 412774517 (80.85/col) Sat May 2 20:24:10 2026 sparse part has weight 389703398 (76.33/col) Sat May 2 20:24:11 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Sat May 2 20:24:11 2026 selected card has CUDA arch 8.6 Sat May 2 20:24:51 2026 commencing Lanczos iteration Sat May 2 20:24:52 2026 memory use: 5641.4 MB Sat May 2 20:25:10 2026 linear algebra at 0.3%, ETA 1h34m Sat May 2 20:25:11 2026 checkpointing every 3170000 dimensions Sat May 2 22:00:36 2026 lanczos halted after 9987 iterations (dim = 5104799) Sat May 2 22:01:47 2026 recovered 36 nontrivial dependencies Sat May 2 22:01:48 2026 BLanczosTime: 6388 Sat May 2 22:01:48 2026 Sat May 2 22:01:48 2026 commencing square root phase Sat May 2 22:01:48 2026 handling dependencies 1 to 64 Sat May 2 22:01:48 2026 reading relations for dependency 1 Sat May 2 22:01:49 2026 read 2552371 cycles Sat May 2 22:01:54 2026 cycles contain 7854828 unique relations Sat May 2 22:03:01 2026 read 7854828 relations Sat May 2 22:03:42 2026 multiplying 7854828 relations Sat May 2 22:05:57 2026 multiply complete, coefficients have about 198.50 million bits Sat May 2 22:05:57 2026 initial square root is modulo 13289317 Sat May 2 22:08:36 2026 GCD is N, no factor found Sat May 2 22:08:36 2026 reading relations for dependency 2 Sat May 2 22:08:37 2026 read 2551861 cycles Sat May 2 22:08:42 2026 cycles contain 7850858 unique relations Sat May 2 22:09:44 2026 read 7850858 relations Sat May 2 22:10:26 2026 multiplying 7850858 relations Sat May 2 22:12:40 2026 multiply complete, coefficients have about 198.40 million bits Sat May 2 22:12:41 2026 initial square root is modulo 13185023 Sat May 2 22:15:31 2026 sqrtTime: 823 Sat May 2 22:15:31 2026 p80 factor: 40627178004909235858992413750890124507911643178918385558339262522717064945642181 Sat May 2 22:15:31 2026 p118 factor: 5724312244479648639460767063347601894685915577966791317479511317645769070224892856934186532891532507026206094187315951 Sat May 2 22:15:31 2026 elapsed time 02:00:12