Sat Mar 14 08:36:01 2026 Sat Mar 14 08:36:01 2026 Sat Mar 14 08:36:01 2026 Msieve v. 1.54 (SVN unknown) Sat Mar 14 08:36:01 2026 random seeds: c0c4c618 b9acf3f2 Sat Mar 14 08:36:01 2026 factoring 24738164224153952006262415662980544145099129584186514614905386805178860517790499589609417366251172697352105075266419467230240728391653225378397718938736110126847661581791 (170 digits) Sat Mar 14 08:36:02 2026 no P-1/P+1/ECM available, skipping Sat Mar 14 08:36:02 2026 commencing number field sieve (170-digit input) Sat Mar 14 08:36:02 2026 R0: -669772554596254055808467424205482 Sat Mar 14 08:36:02 2026 R1: 268770830395375201 Sat Mar 14 08:36:02 2026 A0: -462235164765668684577716880781462414009355 Sat Mar 14 08:36:02 2026 A1: 88196955753407288118195187519374191 Sat Mar 14 08:36:02 2026 A2: -2281997945267113079297368565 Sat Mar 14 08:36:02 2026 A3: -443164549934964092523 Sat Mar 14 08:36:02 2026 A4: 4111410992328 Sat Mar 14 08:36:02 2026 A5: 183540 Sat Mar 14 08:36:02 2026 skew 28105403.07, size 1.526e-16, alpha -7.379, combined = 3.726e-13 rroots = 3 Sat Mar 14 08:36:02 2026 Sat Mar 14 08:36:02 2026 commencing relation filtering Sat Mar 14 08:36:02 2026 setting target matrix density to 80.0 Sat Mar 14 08:36:02 2026 estimated available RAM is 128741.5 MB Sat Mar 14 08:36:02 2026 commencing duplicate removal, pass 1 Sat Mar 14 09:23:52 2026 skipped 1 relations with composite factors Sat Mar 14 09:23:52 2026 skipped 1 malformed relations Sat Mar 14 09:23:52 2026 found 69482897 hash collisions in 251113934 relations Sat Mar 14 09:24:35 2026 added 122024 free relations Sat Mar 14 09:24:35 2026 commencing duplicate removal, pass 2 Sat Mar 14 09:27:06 2026 found 4399459 duplicates and 246836499 unique relations Sat Mar 14 09:27:06 2026 memory use: 2419.0 MB Sat Mar 14 09:27:07 2026 reading ideals above 720000 Sat Mar 14 09:27:07 2026 commencing singleton removal, initial pass Sat Mar 14 10:20:42 2026 memory use: 6024.0 MB Sat Mar 14 10:20:43 2026 reading all ideals from disk Sat Mar 14 10:20:52 2026 memory use: 11507.7 MB Sat Mar 14 10:21:37 2026 keeping 238953503 ideals with weight <= 200, target excess is 1190995 Sat Mar 14 10:22:29 2026 commencing in-memory singleton removal Sat Mar 14 10:23:50 2026 begin with 246836499 relations and 238953503 unique ideals Sat Mar 14 10:28:39 2026 reduce to 139431176 relations and 118851753 ideals in 15 passes Sat Mar 14 10:28:39 2026 max relations containing the same ideal: 146 Sat Mar 14 10:30:46 2026 removing 12995964 relations and 10995964 ideals in 2000000 cliques Sat Mar 14 10:30:53 2026 commencing in-memory singleton removal Sat Mar 14 10:31:31 2026 begin with 126435212 relations and 118851753 unique ideals Sat Mar 14 10:33:16 2026 reduce to 125463313 relations and 106865653 ideals in 8 passes Sat Mar 14 10:33:16 2026 max relations containing the same ideal: 133 Sat Mar 14 10:35:15 2026 removing 9891131 relations and 7891131 ideals in 2000000 cliques Sat Mar 14 10:35:22 2026 commencing in-memory singleton removal Sat Mar 14 10:35:57 2026 begin with 115572182 relations and 106865653 unique ideals Sat Mar 14 10:37:44 2026 reduce to 114919937 relations and 98311621 ideals in 9 passes Sat Mar 14 10:37:44 2026 max relations containing the same ideal: 128 Sat Mar 14 10:39:30 2026 removing 8947729 relations and 6947729 ideals in 2000000 cliques Sat Mar 14 10:39:36 2026 commencing in-memory singleton removal Sat Mar 14 10:40:07 2026 begin with 105972208 relations and 98311621 unique ideals Sat Mar 14 10:41:42 2026 reduce to 105388231 relations and 90770043 ideals in 9 passes Sat Mar 14 10:41:42 2026 max relations containing the same ideal: 123 Sat Mar 14 10:43:20 2026 removing 8492826 relations and 6492826 ideals in 2000000 cliques Sat Mar 14 10:43:25 2026 commencing in-memory singleton removal Sat Mar 14 10:43:53 2026 begin with 96895405 relations and 90770043 unique ideals Sat Mar 14 10:45:15 2026 reduce to 96321414 relations and 83693202 ideals in 8 passes Sat Mar 14 10:45:15 2026 max relations containing the same ideal: 113 Sat Mar 14 10:46:45 2026 removing 8224359 relations and 6224359 ideals in 2000000 cliques Sat Mar 14 10:46:52 2026 commencing in-memory singleton removal Sat Mar 14 10:47:17 2026 begin with 88097055 relations and 83693202 unique ideals Sat Mar 14 10:48:32 2026 reduce to 87511172 relations and 76872214 ideals in 8 passes Sat Mar 14 10:48:32 2026 max relations containing the same ideal: 105 Sat Mar 14 10:49:52 2026 removing 8074333 relations and 6074333 ideals in 2000000 cliques Sat Mar 14 10:49:57 2026 commencing in-memory singleton removal Sat Mar 14 10:50:20 2026 begin with 79436839 relations and 76872214 unique ideals Sat Mar 14 10:51:15 2026 reduce to 78815244 relations and 70163774 ideals in 7 passes Sat Mar 14 10:51:15 2026 max relations containing the same ideal: 98 Sat Mar 14 10:52:29 2026 removing 8010186 relations and 6010186 ideals in 2000000 cliques Sat Mar 14 10:52:34 2026 commencing in-memory singleton removal Sat Mar 14 10:52:54 2026 begin with 70805058 relations and 70163774 unique ideals Sat Mar 14 10:53:56 2026 reduce to 70126665 relations and 63459971 ideals in 9 passes Sat Mar 14 10:53:56 2026 max relations containing the same ideal: 92 Sat Mar 14 10:55:02 2026 removing 8005572 relations and 6005572 ideals in 2000000 cliques Sat Mar 14 10:55:06 2026 commencing in-memory singleton removal Sat Mar 14 10:55:23 2026 begin with 62121093 relations and 63459971 unique ideals Sat Mar 14 10:56:20 2026 reduce to 61356796 relations and 56670835 ideals in 9 passes Sat Mar 14 10:56:20 2026 max relations containing the same ideal: 84 Sat Mar 14 10:57:16 2026 removing 8075401 relations and 6075401 ideals in 2000000 cliques Sat Mar 14 10:57:20 2026 commencing in-memory singleton removal Sat Mar 14 10:57:35 2026 begin with 53281395 relations and 56670835 unique ideals Sat Mar 14 10:58:22 2026 reduce to 52375905 relations and 49664432 ideals in 9 passes Sat Mar 14 10:58:22 2026 max relations containing the same ideal: 79 Sat Mar 14 10:59:12 2026 removing 5996721 relations and 4666803 ideals in 1329918 cliques Sat Mar 14 10:59:15 2026 commencing in-memory singleton removal Sat Mar 14 10:59:28 2026 begin with 46379184 relations and 49664432 unique ideals Sat Mar 14 11:00:06 2026 reduce to 45814868 relations and 44420719 ideals in 8 passes Sat Mar 14 11:00:06 2026 max relations containing the same ideal: 73 Sat Mar 14 11:00:48 2026 removing 122572 relations and 109978 ideals in 12594 cliques Sat Mar 14 11:00:50 2026 commencing in-memory singleton removal Sat Mar 14 11:01:02 2026 begin with 45692296 relations and 44420719 unique ideals Sat Mar 14 11:01:27 2026 reduce to 45692093 relations and 44310538 ideals in 6 passes Sat Mar 14 11:01:27 2026 max relations containing the same ideal: 73 Sat Mar 14 11:01:38 2026 relations with 0 large ideals: 4244 Sat Mar 14 11:01:38 2026 relations with 1 large ideals: 35172 Sat Mar 14 11:01:38 2026 relations with 2 large ideals: 458145 Sat Mar 14 11:01:38 2026 relations with 3 large ideals: 2481873 Sat Mar 14 11:01:38 2026 relations with 4 large ideals: 7147462 Sat Mar 14 11:01:38 2026 relations with 5 large ideals: 12036957 Sat Mar 14 11:01:38 2026 relations with 6 large ideals: 12365805 Sat Mar 14 11:01:38 2026 relations with 7+ large ideals: 11162435 Sat Mar 14 11:01:38 2026 commencing 2-way merge Sat Mar 14 11:02:38 2026 reduce to 27644794 relation sets and 26263239 unique ideals Sat Mar 14 11:02:38 2026 commencing full merge Sat Mar 14 11:12:42 2026 memory use: 3002.9 MB Sat Mar 14 11:12:46 2026 found 13976065 cycles, need 13789439 Sat Mar 14 11:12:54 2026 weight of 13789439 cycles is about 1103165128 (80.00/cycle) Sat Mar 14 11:12:54 2026 distribution of cycle lengths: Sat Mar 14 11:12:54 2026 1 relations: 1636049 Sat Mar 14 11:12:54 2026 2 relations: 1460685 Sat Mar 14 11:12:54 2026 3 relations: 1446475 Sat Mar 14 11:12:54 2026 4 relations: 1356273 Sat Mar 14 11:12:54 2026 5 relations: 1307570 Sat Mar 14 11:12:54 2026 6 relations: 1180399 Sat Mar 14 11:12:54 2026 7 relations: 1072071 Sat Mar 14 11:12:54 2026 8 relations: 944865 Sat Mar 14 11:12:54 2026 9 relations: 805149 Sat Mar 14 11:12:54 2026 10+ relations: 2579903 Sat Mar 14 11:12:54 2026 heaviest cycle: 20 relations Sat Mar 14 11:13:01 2026 commencing cycle optimization Sat Mar 14 11:13:35 2026 start with 81882307 relations Sat Mar 14 11:16:20 2026 pruned 2057671 relations Sat Mar 14 11:16:22 2026 memory use: 2687.6 MB Sat Mar 14 11:16:22 2026 distribution of cycle lengths: Sat Mar 14 11:16:22 2026 1 relations: 1636049 Sat Mar 14 11:16:22 2026 2 relations: 1493778 Sat Mar 14 11:16:22 2026 3 relations: 1496020 Sat Mar 14 11:16:22 2026 4 relations: 1392504 Sat Mar 14 11:16:22 2026 5 relations: 1342389 Sat Mar 14 11:16:22 2026 6 relations: 1205968 Sat Mar 14 11:16:22 2026 7 relations: 1092773 Sat Mar 14 11:16:22 2026 8 relations: 952815 Sat Mar 14 11:16:22 2026 9 relations: 802909 Sat Mar 14 11:16:22 2026 10+ relations: 2374234 Sat Mar 14 11:16:22 2026 heaviest cycle: 20 relations Sat Mar 14 11:16:52 2026 RelProcTime: 9650 Sat Mar 14 11:16:59 2026 Sat Mar 14 11:16:59 2026 commencing linear algebra Sat Mar 14 11:16:59 2026 using VBITS=128 Sat Mar 14 11:17:01 2026 read 13789439 cycles Sat Mar 14 11:17:35 2026 cycles contain 44680382 unique relations Sat Mar 14 11:23:56 2026 read 44680382 relations Sat Mar 14 11:25:30 2026 using 20 quadratic characters above 4294917295 Sat Mar 14 11:30:05 2026 building initial matrix Sat Mar 14 11:42:11 2026 memory use: 6023.2 MB Sat Mar 14 11:42:21 2026 read 13789439 cycles Sat Mar 14 11:42:24 2026 matrix is 13789260 x 13789439 (4682.2 MB) with weight 1445106408 (104.80/col) Sat Mar 14 11:42:24 2026 sparse part has weight 1061931682 (77.01/col) Sat Mar 14 11:46:10 2026 filtering completed in 2 passes Sat Mar 14 11:46:14 2026 matrix is 13780022 x 13780200 (4681.4 MB) with weight 1444750645 (104.84/col) Sat Mar 14 11:46:14 2026 sparse part has weight 1061834382 (77.06/col) Sat Mar 14 11:47:26 2026 matrix starts at (0, 0) Sat Mar 14 11:47:28 2026 matrix is 13780022 x 13780200 (4681.4 MB) with weight 1444750645 (104.84/col) Sat Mar 14 11:47:28 2026 sparse part has weight 1061834382 (77.06/col) Sat Mar 14 11:47:28 2026 saving the first 112 matrix rows for later Sat Mar 14 11:47:32 2026 matrix includes 128 packed rows Sat Mar 14 11:47:36 2026 matrix is 13779910 x 13780200 (4329.1 MB) with weight 1044436143 (75.79/col) Sat Mar 14 11:47:36 2026 sparse part has weight 969482481 (70.35/col) Sat Mar 14 11:47:37 2026 using GPU 0 (Tesla P100-PCIE-16GB) Sat Mar 14 11:47:37 2026 selected card has CUDA arch 6.0 Sat Mar 14 11:51:00 2026 commencing Lanczos iteration Sat Mar 14 11:51:01 2026 memory use: 9183.9 MB Sat Mar 14 11:52:36 2026 linear algebra at 0.2%, ETA 11h45m Sat Mar 14 11:53:00 2026 checking every 10000 dimensions, checkpointing every 1180000 dimensions Sat Mar 14 23:36:43 2026 lanczos halted after 108304 iterations (dim = 13779910) Sat Mar 14 23:37:12 2026 recovered 29 nontrivial dependencies Sat Mar 14 23:37:13 2026 BLanczosTime: 44414 Sat Mar 14 23:37:13 2026 Sat Mar 14 23:37:13 2026 commencing square root phase Sat Mar 14 23:37:13 2026 handling dependencies 1 to 64 Sat Mar 14 23:37:13 2026 reading relations for dependency 1 Sat Mar 14 23:37:17 2026 read 6890747 cycles Sat Mar 14 23:37:35 2026 cycles contain 22344394 unique relations Sat Mar 14 23:40:56 2026 read 22344394 relations Sat Mar 14 23:44:05 2026 multiplying 22344394 relations Sun Mar 15 00:22:14 2026 multiply complete, coefficients have about 1226.51 million bits Sun Mar 15 00:22:26 2026 initial square root is modulo 317539 Sun Mar 15 00:59:26 2026 sqrtTime: 4933 Sun Mar 15 00:59:26 2026 p83 factor: 17511415776339340566486316557886532062669373584402794397433855241358749832765142689 Sun Mar 15 00:59:26 2026 p88 factor: 1412687845467016893272656432739946299630513254241513468070679965953359082724763370376319 Sun Mar 15 00:59:26 2026 elapsed time 16:23:25