Fri Oct 23 00:52:56 2020 Msieve v. 1.54 (SVN 1025) Fri Oct 23 00:52:56 2020 random seeds: 21ee40c6 2c8c97cd Fri Oct 23 00:52:56 2020 factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (234 digits) Fri Oct 23 00:52:57 2020 no P-1/P+1/ECM available, skipping Fri Oct 23 00:52:57 2020 commencing number field sieve (234-digit input) Fri Oct 23 00:52:57 2020 R0: -1000000000000000000000000000000000000000 Fri Oct 23 00:52:57 2020 R1: 1 Fri Oct 23 00:52:57 2020 A0: -31 Fri Oct 23 00:52:57 2020 A1: 0 Fri Oct 23 00:52:57 2020 A2: 0 Fri Oct 23 00:52:57 2020 A3: 0 Fri Oct 23 00:52:57 2020 A4: 0 Fri Oct 23 00:52:57 2020 A5: 0 Fri Oct 23 00:52:57 2020 A6: 1 Fri Oct 23 00:52:57 2020 skew 1.00, size 1.189e-11, alpha 1.991, combined = 7.004e-13 rroots = 2 Fri Oct 23 00:52:57 2020 Fri Oct 23 00:52:57 2020 commencing relation filtering Fri Oct 23 00:52:57 2020 setting target matrix density to 110.0 Fri Oct 23 00:52:57 2020 estimated available RAM is 15891.6 MB Fri Oct 23 00:52:57 2020 commencing duplicate removal, pass 1 Fri Oct 23 01:11:12 2020 skipped 6 relations with b > 2^32 Fri Oct 23 01:11:12 2020 skipped 89 relations with composite factors Fri Oct 23 01:11:12 2020 found 22166676 hash collisions in 119575754 relations Fri Oct 23 01:11:23 2020 commencing duplicate removal, pass 2 Fri Oct 23 01:14:03 2020 found 21167948 duplicates and 98407806 unique relations Fri Oct 23 01:14:03 2020 memory use: 660.8 MB Fri Oct 23 01:14:03 2020 reading ideals above 97845248 Fri Oct 23 01:14:03 2020 commencing singleton removal, initial pass Fri Oct 23 01:26:22 2020 memory use: 1506.0 MB Fri Oct 23 01:26:22 2020 reading all ideals from disk Fri Oct 23 01:26:37 2020 memory use: 1705.2 MB Fri Oct 23 01:26:40 2020 commencing in-memory singleton removal Fri Oct 23 01:26:43 2020 begin with 98407806 relations and 81632069 unique ideals Fri Oct 23 01:27:16 2020 reduce to 65216390 relations and 45211389 ideals in 13 passes Fri Oct 23 01:27:16 2020 max relations containing the same ideal: 35 Fri Oct 23 01:27:19 2020 reading ideals above 720000 Fri Oct 23 01:27:20 2020 commencing singleton removal, initial pass Fri Oct 23 01:37:17 2020 memory use: 1506.0 MB Fri Oct 23 01:37:17 2020 reading all ideals from disk Fri Oct 23 01:37:38 2020 memory use: 2500.5 MB Fri Oct 23 01:37:50 2020 keeping 56169244 ideals with weight <= 200, target excess is 328074 Fri Oct 23 01:38:01 2020 commencing in-memory singleton removal Fri Oct 23 01:38:12 2020 begin with 65216391 relations and 56169244 unique ideals Fri Oct 23 01:39:10 2020 reduce to 65211248 relations and 56164098 ideals in 6 passes Fri Oct 23 01:39:10 2020 max relations containing the same ideal: 200 Fri Oct 23 01:39:52 2020 removing 5676008 relations and 4676008 ideals in 1000000 cliques Fri Oct 23 01:39:54 2020 commencing in-memory singleton removal Fri Oct 23 01:40:03 2020 begin with 59535240 relations and 56164098 unique ideals Fri Oct 23 01:41:14 2020 reduce to 59119416 relations and 51063908 ideals in 10 passes Fri Oct 23 01:41:14 2020 max relations containing the same ideal: 196 Fri Oct 23 01:41:54 2020 removing 4392524 relations and 3392524 ideals in 1000000 cliques Fri Oct 23 01:41:55 2020 commencing in-memory singleton removal Fri Oct 23 01:42:04 2020 begin with 54726892 relations and 51063908 unique ideals Fri Oct 23 01:43:13 2020 reduce to 54443566 relations and 47383033 ideals in 10 passes Fri Oct 23 01:43:13 2020 max relations containing the same ideal: 187 Fri Oct 23 01:43:47 2020 removing 4024772 relations and 3024772 ideals in 1000000 cliques Fri Oct 23 01:43:48 2020 commencing in-memory singleton removal Fri Oct 23 01:43:56 2020 begin with 50418794 relations and 47383033 unique ideals Fri Oct 23 01:44:46 2020 reduce to 50161639 relations and 44096613 ideals in 8 passes Fri Oct 23 01:44:46 2020 max relations containing the same ideal: 181 Fri Oct 23 01:45:16 2020 removing 3846129 relations and 2846129 ideals in 1000000 cliques Fri Oct 23 01:45:17 2020 commencing in-memory singleton removal Fri Oct 23 01:45:24 2020 begin with 46315510 relations and 44096613 unique ideals Fri Oct 23 01:46:02 2020 reduce to 46064425 relations and 40994718 ideals in 7 passes Fri Oct 23 01:46:02 2020 max relations containing the same ideal: 172 Fri Oct 23 01:46:23 2020 removing 3748556 relations and 2748556 ideals in 1000000 cliques Fri Oct 23 01:46:24 2020 commencing in-memory singleton removal Fri Oct 23 01:46:30 2020 begin with 42315869 relations and 40994718 unique ideals Fri Oct 23 01:47:05 2020 reduce to 42061298 relations and 37986576 ideals in 7 passes Fri Oct 23 01:47:05 2020 max relations containing the same ideal: 160 Fri Oct 23 01:47:32 2020 removing 3693885 relations and 2693885 ideals in 1000000 cliques Fri Oct 23 01:47:33 2020 commencing in-memory singleton removal Fri Oct 23 01:47:38 2020 begin with 38367413 relations and 37986576 unique ideals Fri Oct 23 01:48:08 2020 reduce to 38101908 relations and 35021578 ideals in 7 passes Fri Oct 23 01:48:08 2020 max relations containing the same ideal: 149 Fri Oct 23 01:48:31 2020 removing 3664871 relations and 2664871 ideals in 1000000 cliques Fri Oct 23 01:48:32 2020 commencing in-memory singleton removal Fri Oct 23 01:48:37 2020 begin with 34437037 relations and 35021578 unique ideals Fri Oct 23 01:49:03 2020 reduce to 34152599 relations and 32065685 ideals in 7 passes Fri Oct 23 01:49:03 2020 max relations containing the same ideal: 138 Fri Oct 23 01:49:23 2020 removing 3662247 relations and 2662247 ideals in 1000000 cliques Fri Oct 23 01:49:24 2020 commencing in-memory singleton removal Fri Oct 23 01:49:28 2020 begin with 30490352 relations and 32065685 unique ideals Fri Oct 23 01:49:54 2020 reduce to 30175878 relations and 29080961 ideals in 8 passes Fri Oct 23 01:49:54 2020 max relations containing the same ideal: 132 Fri Oct 23 01:50:13 2020 removing 2807573 relations and 2093222 ideals in 714351 cliques Fri Oct 23 01:50:14 2020 commencing in-memory singleton removal Fri Oct 23 01:50:17 2020 begin with 27368305 relations and 29080961 unique ideals Fri Oct 23 01:50:37 2020 reduce to 27165893 relations and 26780979 ideals in 7 passes Fri Oct 23 01:50:37 2020 max relations containing the same ideal: 122 Fri Oct 23 01:50:57 2020 relations with 0 large ideals: 12512 Fri Oct 23 01:50:57 2020 relations with 1 large ideals: 2163 Fri Oct 23 01:50:57 2020 relations with 2 large ideals: 29176 Fri Oct 23 01:50:57 2020 relations with 3 large ideals: 251798 Fri Oct 23 01:50:57 2020 relations with 4 large ideals: 1204887 Fri Oct 23 01:50:57 2020 relations with 5 large ideals: 3483530 Fri Oct 23 01:50:57 2020 relations with 6 large ideals: 6319740 Fri Oct 23 01:50:57 2020 relations with 7+ large ideals: 15862087 Fri Oct 23 01:50:57 2020 commencing 2-way merge Fri Oct 23 01:51:19 2020 reduce to 18062204 relation sets and 17677289 unique ideals Fri Oct 23 01:51:19 2020 commencing full merge Fri Oct 23 01:59:40 2020 memory use: 2371.7 MB Fri Oct 23 01:59:42 2020 found 8232652 cycles, need 8229489 Fri Oct 23 01:59:45 2020 weight of 8229489 cycles is about 905551739 (110.04/cycle) Fri Oct 23 01:59:45 2020 distribution of cycle lengths: Fri Oct 23 01:59:45 2020 1 relations: 459641 Fri Oct 23 01:59:45 2020 2 relations: 602268 Fri Oct 23 01:59:45 2020 3 relations: 656485 Fri Oct 23 01:59:45 2020 4 relations: 648884 Fri Oct 23 01:59:45 2020 5 relations: 636988 Fri Oct 23 01:59:45 2020 6 relations: 609514 Fri Oct 23 01:59:45 2020 7 relations: 579683 Fri Oct 23 01:59:45 2020 8 relations: 543097 Fri Oct 23 01:59:45 2020 9 relations: 504156 Fri Oct 23 01:59:45 2020 10+ relations: 2988773 Fri Oct 23 01:59:45 2020 heaviest cycle: 28 relations Fri Oct 23 01:59:49 2020 commencing cycle optimization Fri Oct 23 02:00:07 2020 start with 69035044 relations Fri Oct 23 02:03:00 2020 pruned 3057897 relations Fri Oct 23 02:03:01 2020 memory use: 1839.6 MB Fri Oct 23 02:03:01 2020 distribution of cycle lengths: Fri Oct 23 02:03:01 2020 1 relations: 459641 Fri Oct 23 02:03:01 2020 2 relations: 617056 Fri Oct 23 02:03:01 2020 3 relations: 684767 Fri Oct 23 02:03:01 2020 4 relations: 674529 Fri Oct 23 02:03:01 2020 5 relations: 666772 Fri Oct 23 02:03:01 2020 6 relations: 635694 Fri Oct 23 02:03:01 2020 7 relations: 606362 Fri Oct 23 02:03:01 2020 8 relations: 564804 Fri Oct 23 02:03:01 2020 9 relations: 522956 Fri Oct 23 02:03:01 2020 10+ relations: 2796908 Fri Oct 23 02:03:01 2020 heaviest cycle: 28 relations Fri Oct 23 02:03:26 2020 RelProcTime: 4229 Fri Oct 23 02:03:26 2020 elapsed time 01:10:30 Fri Oct 23 21:53:23 2020 Fri Oct 23 21:53:23 2020 Fri Oct 23 21:53:23 2020 Msieve v. 1.52 (SVN exported) Fri Oct 23 21:53:23 2020 random seeds: 246baf89 49ed34ed Fri Oct 23 21:53:23 2020 factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (234 digits) Fri Oct 23 21:53:25 2020 searching for 15-digit factors Fri Oct 23 21:53:27 2020 commencing number field sieve (234-digit input) Fri Oct 23 21:53:27 2020 R0: -1000000000000000000000000000000000000000 Fri Oct 23 21:53:27 2020 R1: 1 Fri Oct 23 21:53:27 2020 A0: -31 Fri Oct 23 21:53:27 2020 A1: 0 Fri Oct 23 21:53:27 2020 A2: 0 Fri Oct 23 21:53:27 2020 A3: 0 Fri Oct 23 21:53:27 2020 A4: 0 Fri Oct 23 21:53:27 2020 A5: 0 Fri Oct 23 21:53:27 2020 A6: 1 Fri Oct 23 21:53:27 2020 skew 1.00, size 1.189e-11, alpha 1.991, combined = 7.004e-13 rroots = 2 Fri Oct 23 21:53:27 2020 Fri Oct 23 21:53:27 2020 commencing linear algebra Fri Oct 23 21:53:27 2020 skipping matrix build Fri Oct 23 21:53:42 2020 matrix starts at (0, 0) Fri Oct 23 21:53:44 2020 matrix is 8229245 x 8229422 (3546.5 MB) with weight 1027254157 (124.83/col) Fri Oct 23 21:53:44 2020 sparse part has weight 847390386 (102.97/col) Fri Oct 23 21:53:44 2020 saving the first 48 matrix rows for later Fri Oct 23 21:53:46 2020 matrix includes 64 packed rows Fri Oct 23 21:53:48 2020 matrix is 8229197 x 8229422 (3416.5 MB) with weight 865136063 (105.13/col) Fri Oct 23 21:53:48 2020 sparse part has weight 813308203 (98.83/col) Fri Oct 23 21:53:48 2020 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB Fri Oct 23 21:54:36 2020 commencing Lanczos iteration (8 threads) Fri Oct 23 21:54:36 2020 memory use: 2900.2 MB Fri Oct 23 21:55:09 2020 linear algebra at 0.0%, ETA 47h55m Fri Oct 23 21:55:20 2020 checkpointing every 180000 dimensions Mon Oct 26 00:18:25 2020 lanczos halted after 130143 iterations (dim = 8229197) Mon Oct 26 00:18:35 2020 recovered 36 nontrivial dependencies Mon Oct 26 00:18:36 2020 BLanczosTime: 181509 Mon Oct 26 00:18:36 2020 elapsed time 50:25:13 Mon Oct 26 03:19:22 2020 Mon Oct 26 03:19:22 2020 Mon Oct 26 03:19:22 2020 Msieve v. 1.54 (SVN 1025) Mon Oct 26 03:19:22 2020 random seeds: e4d6457d a5d1e81b Mon Oct 26 03:19:22 2020 factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (234 digits) Mon Oct 26 03:19:22 2020 no P-1/P+1/ECM available, skipping Mon Oct 26 03:19:22 2020 commencing number field sieve (234-digit input) Mon Oct 26 03:19:23 2020 R0: -1000000000000000000000000000000000000000 Mon Oct 26 03:19:23 2020 R1: 1 Mon Oct 26 03:19:23 2020 A0: -31 Mon Oct 26 03:19:23 2020 A1: 0 Mon Oct 26 03:19:23 2020 A2: 0 Mon Oct 26 03:19:23 2020 A3: 0 Mon Oct 26 03:19:23 2020 A4: 0 Mon Oct 26 03:19:23 2020 A5: 0 Mon Oct 26 03:19:23 2020 A6: 1 Mon Oct 26 03:19:23 2020 skew 1.00, size 1.189e-11, alpha 1.991, combined = 7.004e-13 rroots = 2 Mon Oct 26 03:19:23 2020 Mon Oct 26 03:19:23 2020 commencing square root phase Mon Oct 26 03:19:23 2020 reading relations for dependency 1 Mon Oct 26 03:19:25 2020 read 4113893 cycles Mon Oct 26 03:19:35 2020 cycles contain 13451174 unique relations Mon Oct 26 03:22:01 2020 read 13451174 relations Mon Oct 26 03:23:14 2020 multiplying 13451174 relations Mon Oct 26 03:30:04 2020 multiply complete, coefficients have about 336.40 million bits Mon Oct 26 03:30:05 2020 initial square root is modulo 1086913 Mon Oct 26 03:37:57 2020 GCD is 1, no factor found Mon Oct 26 03:37:57 2020 reading relations for dependency 2 Mon Oct 26 03:38:02 2020 read 4111854 cycles Mon Oct 26 03:38:11 2020 cycles contain 13446296 unique relations Mon Oct 26 03:40:45 2020 read 13446296 relations Mon Oct 26 03:42:07 2020 multiplying 13446296 relations Mon Oct 26 03:49:11 2020 multiply complete, coefficients have about 336.28 million bits Mon Oct 26 03:49:12 2020 initial square root is modulo 1081417 Mon Oct 26 03:56:50 2020 sqrtTime: 2247 Mon Oct 26 03:56:50 2020 p106 factor: 9784605006679558262019264434300226389921189071117436541557070178680067016618938799314206397231601142283321 Mon Oct 26 03:56:50 2020 p128 factor: 34067122086765894641169187421245095660381721388539976530514669268228482646624048549319047438795720175176917145751373929345312163 Mon Oct 26 03:56:50 2020 elapsed time 00:37:28