Sat May 23 14:03:20 2026 Sat May 23 14:03:20 2026 Sat May 23 14:03:20 2026 Msieve v. 1.54 (SVN Unversioned directory) Sat May 23 14:03:20 2026 random seeds: dac438d2 d36289ab Sat May 23 14:03:20 2026 MPI process 0 of 1 Sat May 23 14:03:20 2026 Using 32 OpenMP threads Sat May 23 14:03:20 2026 factoring 1604378569809437739808758549097844980872981558403552954335456360533490168466089289260117811193705215810880818728499152580228621725223663195847997549434882382240893 (163 digits) Sat May 23 14:03:21 2026 searching for 15-digit factors Sat May 23 14:03:21 2026 commencing number field sieve (163-digit input) Sat May 23 14:03:21 2026 R0: 15245741765943492649075249785804 Sat May 23 14:03:21 2026 R1: 3270384018770545899304933 Sat May 23 14:03:21 2026 A0: -494297524314987260259540346166938375 Sat May 23 14:03:21 2026 A1: 498094776963067860890280072664 Sat May 23 14:03:21 2026 A2: -14088389175370854875880329 Sat May 23 14:03:21 2026 A3: -2289059085675122650 Sat May 23 14:03:21 2026 A4: 9831180143394 Sat May 23 14:03:21 2026 A5: 126000 Sat May 23 14:03:21 2026 skew 1384320.00, size 9.334e-16, alpha -5.671, combined = 1.117e-12 rroots = 3 Sat May 23 14:03:21 2026 Sat May 23 14:03:21 2026 commencing relation filtering Sat May 23 14:03:21 2026 setting target matrix density to 130.0 Sat May 23 14:03:21 2026 estimated available RAM is 257736.5 MB Sat May 23 14:03:21 2026 commencing duplicate removal, pass 1 Sat May 23 14:06:56 2026 error -1 reading relation 82726911 Sat May 23 14:07:13 2026 error -1 reading relation 89445700 Sat May 23 14:07:15 2026 error -1 reading relation 90333503 Sat May 23 14:07:27 2026 error -1 reading relation 95301159 Sat May 23 14:07:46 2026 error -1 reading relation 103347552 Sat May 23 14:07:47 2026 error -1 reading relation 103483950 Sat May 23 14:07:47 2026 error -1 reading relation 103554995 Sat May 23 14:07:52 2026 error -1 reading relation 105407252 Sat May 23 14:08:51 2026 error -15 reading relation 128254950 Sat May 23 14:09:16 2026 skipped 2 relations with composite factors Sat May 23 14:09:16 2026 skipped 73 malformed relations Sat May 23 14:09:16 2026 found 26218462 hash collisions in 138143942 relations Sat May 23 14:09:55 2026 added 121996 free relations Sat May 23 14:09:55 2026 commencing duplicate removal, pass 2 Sat May 23 14:14:30 2026 found 24425954 duplicates and 113839984 unique relations Sat May 23 14:14:30 2026 memory use: 724.8 MB Sat May 23 14:14:30 2026 reading ideals above 720000 Sat May 23 14:14:31 2026 commencing singleton removal, initial pass Sat May 23 14:26:07 2026 memory use: 3012.0 MB Sat May 23 14:26:08 2026 reading all ideals from disk Sat May 23 14:26:11 2026 memory use: 5105.4 MB Sat May 23 14:26:25 2026 keeping 115210128 ideals with weight <= 200, target excess is 621376 Sat May 23 14:26:47 2026 commencing in-memory singleton removal Sat May 23 14:26:49 2026 begin with 113839984 relations and 115210128 unique ideals Sat May 23 14:27:03 2026 reduce to 54584138 relations and 47798270 ideals in 18 passes Sat May 23 14:27:03 2026 max relations containing the same ideal: 130 Sat May 23 14:27:32 2026 removing 6851258 relations and 5851258 ideals in 1000000 cliques Sat May 23 14:27:35 2026 commencing in-memory singleton removal Sat May 23 14:27:36 2026 begin with 47732880 relations and 47798270 unique ideals Sat May 23 14:27:41 2026 reduce to 47088229 relations and 41287216 ideals in 10 passes Sat May 23 14:27:41 2026 max relations containing the same ideal: 119 Sat May 23 14:28:06 2026 removing 5152248 relations and 4152248 ideals in 1000000 cliques Sat May 23 14:28:09 2026 commencing in-memory singleton removal Sat May 23 14:28:10 2026 begin with 41935981 relations and 41287216 unique ideals Sat May 23 14:28:14 2026 reduce to 41503744 relations and 36693562 ideals in 8 passes Sat May 23 14:28:14 2026 max relations containing the same ideal: 109 Sat May 23 14:28:37 2026 removing 4631071 relations and 3631071 ideals in 1000000 cliques Sat May 23 14:28:39 2026 commencing in-memory singleton removal Sat May 23 14:28:40 2026 begin with 36872673 relations and 36693562 unique ideals Sat May 23 14:28:43 2026 reduce to 36476559 relations and 32657409 ideals in 8 passes Sat May 23 14:28:43 2026 max relations containing the same ideal: 101 Sat May 23 14:29:04 2026 removing 4363399 relations and 3363399 ideals in 1000000 cliques Sat May 23 14:29:07 2026 commencing in-memory singleton removal Sat May 23 14:29:08 2026 begin with 32113160 relations and 32657409 unique ideals Sat May 23 14:29:09 2026 reduce to 31719459 relations and 28890724 ideals in 8 passes Sat May 23 14:29:09 2026 max relations containing the same ideal: 90 Sat May 23 14:29:34 2026 removing 4206582 relations and 3206582 ideals in 1000000 cliques Sat May 23 14:29:37 2026 commencing in-memory singleton removal Sat May 23 14:29:37 2026 begin with 27512877 relations and 28890724 unique ideals Sat May 23 14:29:39 2026 reduce to 27099955 relations and 25259638 ideals in 8 passes Sat May 23 14:29:39 2026 max relations containing the same ideal: 81 Sat May 23 14:29:59 2026 removing 4107754 relations and 3107754 ideals in 1000000 cliques Sat May 23 14:30:01 2026 commencing in-memory singleton removal Sat May 23 14:30:01 2026 begin with 22992201 relations and 25259638 unique ideals Sat May 23 14:30:03 2026 reduce to 22533289 relations and 21678061 ideals in 9 passes Sat May 23 14:30:03 2026 max relations containing the same ideal: 72 Sat May 23 14:30:19 2026 removing 830113 relations and 695682 ideals in 134431 cliques Sat May 23 14:30:20 2026 commencing in-memory singleton removal Sat May 23 14:30:20 2026 begin with 21703176 relations and 21678061 unique ideals Sat May 23 14:30:22 2026 reduce to 21684822 relations and 20963937 ideals in 7 passes Sat May 23 14:30:22 2026 max relations containing the same ideal: 71 Sat May 23 14:30:26 2026 relations with 0 large ideals: 1993 Sat May 23 14:30:26 2026 relations with 1 large ideals: 15409 Sat May 23 14:30:26 2026 relations with 2 large ideals: 202850 Sat May 23 14:30:26 2026 relations with 3 large ideals: 1144196 Sat May 23 14:30:26 2026 relations with 4 large ideals: 3397568 Sat May 23 14:30:26 2026 relations with 5 large ideals: 5757685 Sat May 23 14:30:26 2026 relations with 6 large ideals: 5873446 Sat May 23 14:30:26 2026 relations with 7+ large ideals: 5291675 Sat May 23 14:30:26 2026 commencing 2-way merge Sat May 23 14:30:47 2026 reduce to 13192271 relation sets and 12471386 unique ideals Sat May 23 14:30:47 2026 commencing full merge Sat May 23 14:39:37 2026 memory use: 1530.2 MB Sat May 23 14:39:39 2026 found 5723004 cycles, need 5701586 Sat May 23 14:39:42 2026 weight of 5701586 cycles is about 741957909 (130.13/cycle) Sat May 23 14:39:42 2026 distribution of cycle lengths: Sat May 23 14:39:42 2026 1 relations: 231449 Sat May 23 14:39:42 2026 2 relations: 330813 Sat May 23 14:39:42 2026 3 relations: 383417 Sat May 23 14:39:42 2026 4 relations: 390813 Sat May 23 14:39:42 2026 5 relations: 396622 Sat May 23 14:39:42 2026 6 relations: 387025 Sat May 23 14:39:42 2026 7 relations: 376397 Sat May 23 14:39:42 2026 8 relations: 360356 Sat May 23 14:39:42 2026 9 relations: 340551 Sat May 23 14:39:42 2026 10+ relations: 2504143 Sat May 23 14:39:42 2026 heaviest cycle: 28 relations Sat May 23 14:39:45 2026 commencing cycle optimization Sat May 23 14:40:08 2026 start with 54130135 relations Sat May 23 14:44:02 2026 pruned 2296310 relations Sat May 23 14:44:03 2026 memory use: 1443.7 MB Sat May 23 14:44:03 2026 distribution of cycle lengths: Sat May 23 14:44:03 2026 1 relations: 231449 Sat May 23 14:44:03 2026 2 relations: 339704 Sat May 23 14:44:03 2026 3 relations: 399703 Sat May 23 14:44:03 2026 4 relations: 406440 Sat May 23 14:44:03 2026 5 relations: 414706 Sat May 23 14:44:03 2026 6 relations: 403467 Sat May 23 14:44:03 2026 7 relations: 394012 Sat May 23 14:44:03 2026 8 relations: 375090 Sat May 23 14:44:03 2026 9 relations: 354748 Sat May 23 14:44:03 2026 10+ relations: 2382267 Sat May 23 14:44:03 2026 heaviest cycle: 28 relations Sat May 23 14:44:20 2026 RelProcTime: 2459 Sat May 23 14:44:20 2026 Sat May 23 14:44:20 2026 commencing linear algebra Sat May 23 14:44:20 2026 using VBITS=256 Sat May 23 14:44:20 2026 stopping after matrix build Sat May 23 14:44:20 2026 initialized process (0,0) of 1 x 1 grid Sat May 23 14:44:21 2026 read 5701586 cycles Sat May 23 14:44:42 2026 cycles contain 21235326 unique relations Sat May 23 14:47:51 2026 read 21235326 relations Sat May 23 14:47:54 2026 using 20 quadratic characters above 4294917295 Sat May 23 14:47:58 2026 building initial matrix Sat May 23 14:57:02 2026 memory use: 2791.9 MB Sat May 23 14:57:10 2026 read 5701586 cycles Sat May 23 14:57:12 2026 matrix is 5701409 x 5701586 (2868.8 MB) with weight 862475949 (151.27/col) Sat May 23 14:57:12 2026 sparse part has weight 689326400 (120.90/col) Sat May 23 14:59:34 2026 filtering completed in 2 passes Sat May 23 14:59:36 2026 matrix is 5701275 x 5701449 (2868.8 MB) with weight 862469528 (151.27/col) Sat May 23 14:59:36 2026 sparse part has weight 689324409 (120.90/col) Sat May 23 15:00:19 2026 BLanczosTime: 959 Sat May 23 15:00:19 2026 elapsed time 00:56:59 Sat May 23 15:23:03 2026 Sat May 23 15:23:03 2026 Sat May 23 15:23:03 2026 Msieve v. 1.54 (SVN Unversioned directory) Sat May 23 15:23:03 2026 random seeds: 9a20cec3 bab1f518 Sat May 23 15:23:03 2026 MPI process 0 of 1 Sat May 23 15:23:03 2026 Using 64 OpenMP threads Sat May 23 15:23:03 2026 factoring 1604378569809437739808758549097844980872981558403552954335456360533490168466089289260117811193705215810880818728499152580228621725223663195847997549434882382240893 (163 digits) Sat May 23 15:23:04 2026 searching for 15-digit factors Sat May 23 15:23:05 2026 commencing number field sieve (163-digit input) Sat May 23 15:23:05 2026 R0: 15245741765943492649075249785804 Sat May 23 15:23:05 2026 R1: 3270384018770545899304933 Sat May 23 15:23:05 2026 A0: -494297524314987260259540346166938375 Sat May 23 15:23:05 2026 A1: 498094776963067860890280072664 Sat May 23 15:23:05 2026 A2: -14088389175370854875880329 Sat May 23 15:23:05 2026 A3: -2289059085675122650 Sat May 23 15:23:05 2026 A4: 9831180143394 Sat May 23 15:23:05 2026 A5: 126000 Sat May 23 15:23:05 2026 skew 1384320.00, size 9.334e-16, alpha -5.671, combined = 1.117e-12 rroots = 3 Sat May 23 15:23:05 2026 Sat May 23 15:23:05 2026 commencing linear algebra Sat May 23 15:23:05 2026 using VBITS=256 Sat May 23 15:23:05 2026 skipping matrix build Sat May 23 15:23:05 2026 initialized process (0,0) of 1 x 1 grid Sat May 23 15:23:08 2026 matrix starts at (0, 0) Sat May 23 15:23:08 2026 matrix is 5701275 x 5701449 (2868.8 MB) with weight 862469528 (151.27/col) Sat May 23 15:23:08 2026 sparse part has weight 689324409 (120.90/col) Sat May 23 15:23:08 2026 saving the first 240 matrix rows for later Sat May 23 15:23:10 2026 matrix includes 256 packed rows Sat May 23 15:23:11 2026 matrix is 5701035 x 5701449 (2583.5 MB) with weight 626424899 (109.87/col) Sat May 23 15:23:11 2026 sparse part has weight 586027040 (102.79/col) Sat May 23 15:23:11 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Sat May 23 15:23:24 2026 commencing Lanczos iteration (64 threads) Sat May 23 15:23:24 2026 memory use: 3644.4 MB Sat May 23 15:24:10 2026 linear algebra at 0.5%, ETA 2h18m Sat May 23 15:25:16 2026 checking every 40000 dimensions, checkpointing every 2520000 dimensions Sat May 23 17:38:18 2026 lanczos halted after 22338 iterations (dim = 5701033) Sat May 23 17:38:44 2026 recovered 29 nontrivial dependencies Sat May 23 17:38:45 2026 BLanczosTime: 8140 Sat May 23 17:38:45 2026 Sat May 23 17:38:45 2026 commencing square root phase Sat May 23 17:38:45 2026 handling dependencies 1 to 64 Sat May 23 17:38:45 2026 reading relations for dependency 1 Sat May 23 17:38:45 2026 read 2849120 cycles Sat May 23 17:38:50 2026 cycles contain 10619030 unique relations Sat May 23 17:40:42 2026 read 10619030 relations Sat May 23 17:41:18 2026 multiplying 10619030 relations Sat May 23 17:42:14 2026 multiply complete, coefficients have about 598.70 million bits Sat May 23 17:42:16 2026 initial square root is modulo 235117 Sat May 23 17:45:20 2026 sqrtTime: 395 Sat May 23 17:45:20 2026 p50 factor: 26339585184119122623363430521090362726947967252801 Sat May 23 17:45:20 2026 p113 factor: 60911307395105172096675237277340573916241081216399335407383136881639099273868367958372982572501349832239918610493 Sat May 23 17:45:20 2026 elapsed time 02:22:17