Thu Oct 23 21:02:34 2025 Thu Oct 23 21:02:34 2025 Thu Oct 23 21:02:34 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Oct 23 21:02:34 2025 random seeds: 895b805c 42d5995e Thu Oct 23 21:02:34 2025 factoring 456698944827011095573748424123730388431728000266774648424746050505805456222696131015379029910421605277816174967967195602146038656031775495129213988840264474620161870048014414205366750102601416852540026168587 (207 digits) Thu Oct 23 21:02:35 2025 searching for 15-digit factors Thu Oct 23 21:02:36 2025 commencing number field sieve (207-digit input) Thu Oct 23 21:02:36 2025 R0: 2892582051531301325756710295297492469530 Thu Oct 23 21:02:36 2025 R1: -53782730049071526523 Thu Oct 23 21:02:36 2025 A0: -1 Thu Oct 23 21:02:36 2025 A1: 3 Thu Oct 23 21:02:36 2025 A2: 6 Thu Oct 23 21:02:36 2025 A3: -4 Thu Oct 23 21:02:36 2025 A4: -5 Thu Oct 23 21:02:36 2025 A5: 1 Thu Oct 23 21:02:36 2025 A6: 1 Thu Oct 23 21:02:36 2025 skew 1.37, size 1.197e-11, alpha 3.126, combined = 7.161e-13 rroots = 6 Thu Oct 23 21:02:36 2025 Thu Oct 23 21:02:36 2025 commencing relation filtering Thu Oct 23 21:02:36 2025 setting target matrix density to 112.0 Thu Oct 23 21:02:36 2025 estimated available RAM is 15938.6 MB Thu Oct 23 21:02:36 2025 commencing duplicate removal, pass 1 Thu Oct 23 21:30:36 2025 skipped 11 relations with b > 2^32 Thu Oct 23 21:30:36 2025 skipped 1 relations with composite factors Thu Oct 23 21:30:36 2025 found 4823784 hash collisions in 147249450 relations Thu Oct 23 21:30:51 2025 added 2438358 free relations Thu Oct 23 21:30:51 2025 commencing duplicate removal, pass 2 Thu Oct 23 21:32:09 2025 found 0 duplicates and 149687808 unique relations Thu Oct 23 21:32:09 2025 memory use: 389.2 MB Thu Oct 23 21:32:09 2025 reading ideals above 93913088 Thu Oct 23 21:32:09 2025 commencing singleton removal, initial pass Thu Oct 23 21:55:09 2025 memory use: 3012.0 MB Thu Oct 23 21:55:10 2025 reading all ideals from disk Thu Oct 23 21:55:16 2025 memory use: 2728.9 MB Thu Oct 23 21:55:31 2025 commencing in-memory singleton removal Thu Oct 23 21:55:43 2025 begin with 149687808 relations and 120965722 unique ideals Thu Oct 23 21:58:03 2025 reduce to 102506989 relations and 69556023 ideals in 13 passes Thu Oct 23 21:58:03 2025 max relations containing the same ideal: 48 Thu Oct 23 21:58:17 2025 reading ideals above 720000 Thu Oct 23 21:58:18 2025 commencing singleton removal, initial pass Thu Oct 23 22:20:21 2025 memory use: 1506.0 MB Thu Oct 23 22:20:21 2025 reading all ideals from disk Thu Oct 23 22:20:31 2025 memory use: 3942.9 MB Thu Oct 23 22:20:55 2025 keeping 79912055 ideals with weight <= 200, target excess is 503968 Thu Oct 23 22:21:20 2025 commencing in-memory singleton removal Thu Oct 23 22:21:38 2025 begin with 102506989 relations and 79912055 unique ideals Thu Oct 23 22:22:17 2025 reduce to 102506988 relations and 79912054 ideals in 2 passes Thu Oct 23 22:22:17 2025 max relations containing the same ideal: 200 Thu Oct 23 22:23:52 2025 removing 9017116 relations and 7017116 ideals in 2000000 cliques Thu Oct 23 22:23:58 2025 commencing in-memory singleton removal Thu Oct 23 22:24:15 2025 begin with 93489872 relations and 79912054 unique ideals Thu Oct 23 22:26:29 2025 reduce to 92848745 relations and 72237996 ideals in 8 passes Thu Oct 23 22:26:29 2025 max relations containing the same ideal: 197 Thu Oct 23 22:27:53 2025 removing 7091524 relations and 5091524 ideals in 2000000 cliques Thu Oct 23 22:27:58 2025 commencing in-memory singleton removal Thu Oct 23 22:28:12 2025 begin with 85757221 relations and 72237996 unique ideals Thu Oct 23 22:30:18 2025 reduce to 85315753 relations and 66695279 ideals in 8 passes Thu Oct 23 22:30:18 2025 max relations containing the same ideal: 188 Thu Oct 23 22:31:35 2025 removing 6558361 relations and 4558361 ideals in 2000000 cliques Thu Oct 23 22:31:40 2025 commencing in-memory singleton removal Thu Oct 23 22:31:53 2025 begin with 78757392 relations and 66695279 unique ideals Thu Oct 23 22:33:32 2025 reduce to 78361535 relations and 61732248 ideals in 7 passes Thu Oct 23 22:33:32 2025 max relations containing the same ideal: 179 Thu Oct 23 22:34:41 2025 removing 6296820 relations and 4296820 ideals in 2000000 cliques Thu Oct 23 22:34:45 2025 commencing in-memory singleton removal Thu Oct 23 22:34:58 2025 begin with 72064715 relations and 61732248 unique ideals Thu Oct 23 22:36:15 2025 reduce to 71681111 relations and 57042852 ideals in 6 passes Thu Oct 23 22:36:15 2025 max relations containing the same ideal: 169 Thu Oct 23 22:37:21 2025 removing 6139725 relations and 4139725 ideals in 2000000 cliques Thu Oct 23 22:37:26 2025 commencing in-memory singleton removal Thu Oct 23 22:37:36 2025 begin with 65541386 relations and 57042852 unique ideals Thu Oct 23 22:39:08 2025 reduce to 65152934 relations and 52504891 ideals in 8 passes Thu Oct 23 22:39:08 2025 max relations containing the same ideal: 158 Thu Oct 23 22:40:06 2025 removing 6050590 relations and 4050590 ideals in 2000000 cliques Thu Oct 23 22:40:10 2025 commencing in-memory singleton removal Thu Oct 23 22:40:20 2025 begin with 59102344 relations and 52504891 unique ideals Thu Oct 23 22:41:21 2025 reduce to 58695489 relations and 48036149 ideals in 6 passes Thu Oct 23 22:41:21 2025 max relations containing the same ideal: 146 Thu Oct 23 22:42:12 2025 removing 6003570 relations and 4003570 ideals in 2000000 cliques Thu Oct 23 22:42:16 2025 commencing in-memory singleton removal Thu Oct 23 22:42:23 2025 begin with 52691919 relations and 48036149 unique ideals Thu Oct 23 22:43:25 2025 reduce to 52255377 relations and 43582994 ideals in 7 passes Thu Oct 23 22:43:25 2025 max relations containing the same ideal: 139 Thu Oct 23 22:44:12 2025 removing 5982416 relations and 3982416 ideals in 2000000 cliques Thu Oct 23 22:44:16 2025 commencing in-memory singleton removal Thu Oct 23 22:44:23 2025 begin with 46272961 relations and 43582994 unique ideals Thu Oct 23 22:45:17 2025 reduce to 45791697 relations and 39102892 ideals in 7 passes Thu Oct 23 22:45:17 2025 max relations containing the same ideal: 125 Thu Oct 23 22:45:55 2025 removing 5996375 relations and 3996375 ideals in 2000000 cliques Thu Oct 23 22:45:59 2025 commencing in-memory singleton removal Thu Oct 23 22:46:05 2025 begin with 39795322 relations and 39102892 unique ideals Thu Oct 23 22:46:50 2025 reduce to 39242999 relations and 34533164 ideals in 7 passes Thu Oct 23 22:46:50 2025 max relations containing the same ideal: 112 Thu Oct 23 22:47:25 2025 removing 6035254 relations and 4035254 ideals in 2000000 cliques Thu Oct 23 22:47:28 2025 commencing in-memory singleton removal Thu Oct 23 22:47:33 2025 begin with 33207745 relations and 34533164 unique ideals Thu Oct 23 22:48:18 2025 reduce to 32549985 relations and 29810906 ideals in 9 passes Thu Oct 23 22:48:18 2025 max relations containing the same ideal: 99 Thu Oct 23 22:48:47 2025 removing 6105201 relations and 4105201 ideals in 2000000 cliques Thu Oct 23 22:48:49 2025 commencing in-memory singleton removal Thu Oct 23 22:48:53 2025 begin with 26444784 relations and 29810906 unique ideals Thu Oct 23 22:49:32 2025 reduce to 25613078 relations and 24828834 ideals in 10 passes Thu Oct 23 22:49:32 2025 max relations containing the same ideal: 87 Thu Oct 23 22:49:56 2025 removing 977344 relations and 777703 ideals in 199641 cliques Thu Oct 23 22:49:57 2025 commencing in-memory singleton removal Thu Oct 23 22:50:01 2025 begin with 24635734 relations and 24828834 unique ideals Thu Oct 23 22:50:27 2025 reduce to 24602050 relations and 24017164 ideals in 7 passes Thu Oct 23 22:50:27 2025 max relations containing the same ideal: 85 Thu Oct 23 22:50:56 2025 relations with 0 large ideals: 38501 Thu Oct 23 22:50:56 2025 relations with 1 large ideals: 7756 Thu Oct 23 22:50:56 2025 relations with 2 large ideals: 87671 Thu Oct 23 22:50:56 2025 relations with 3 large ideals: 590719 Thu Oct 23 22:50:56 2025 relations with 4 large ideals: 2169906 Thu Oct 23 22:50:56 2025 relations with 5 large ideals: 4734964 Thu Oct 23 22:50:56 2025 relations with 6 large ideals: 6454619 Thu Oct 23 22:50:56 2025 relations with 7+ large ideals: 10517914 Thu Oct 23 22:50:56 2025 commencing 2-way merge Thu Oct 23 22:51:23 2025 reduce to 16323054 relation sets and 15738168 unique ideals Thu Oct 23 22:51:23 2025 commencing full merge Thu Oct 23 23:02:50 2025 memory use: 2199.5 MB Thu Oct 23 23:02:53 2025 found 7481414 cycles, need 7462368 Thu Oct 23 23:02:57 2025 weight of 7462368 cycles is about 836352852 (112.08/cycle) Thu Oct 23 23:02:57 2025 distribution of cycle lengths: Thu Oct 23 23:02:57 2025 1 relations: 385939 Thu Oct 23 23:02:57 2025 2 relations: 481993 Thu Oct 23 23:02:57 2025 3 relations: 543368 Thu Oct 23 23:02:57 2025 4 relations: 551981 Thu Oct 23 23:02:57 2025 5 relations: 561559 Thu Oct 23 23:02:57 2025 6 relations: 551130 Thu Oct 23 23:02:57 2025 7 relations: 533857 Thu Oct 23 23:02:57 2025 8 relations: 505848 Thu Oct 23 23:02:57 2025 9 relations: 469841 Thu Oct 23 23:02:57 2025 10+ relations: 2876852 Thu Oct 23 23:02:57 2025 heaviest cycle: 28 relations Thu Oct 23 23:03:01 2025 commencing cycle optimization Thu Oct 23 23:03:31 2025 start with 65020945 relations Thu Oct 23 23:07:48 2025 pruned 3057176 relations Thu Oct 23 23:07:48 2025 memory use: 1690.8 MB Thu Oct 23 23:07:48 2025 distribution of cycle lengths: Thu Oct 23 23:07:48 2025 1 relations: 385939 Thu Oct 23 23:07:48 2025 2 relations: 492481 Thu Oct 23 23:07:48 2025 3 relations: 564770 Thu Oct 23 23:07:48 2025 4 relations: 574184 Thu Oct 23 23:07:48 2025 5 relations: 589261 Thu Oct 23 23:07:48 2025 6 relations: 578168 Thu Oct 23 23:07:48 2025 7 relations: 562437 Thu Oct 23 23:07:48 2025 8 relations: 531121 Thu Oct 23 23:07:48 2025 9 relations: 491707 Thu Oct 23 23:07:48 2025 10+ relations: 2692300 Thu Oct 23 23:07:48 2025 heaviest cycle: 28 relations Thu Oct 23 23:08:11 2025 RelProcTime: 7535 Thu Oct 23 23:08:11 2025 Thu Oct 23 23:08:11 2025 commencing linear algebra Thu Oct 23 23:08:11 2025 using VBITS=512 Thu Oct 23 23:08:13 2025 read 7462368 cycles Thu Oct 23 23:08:37 2025 cycles contain 24299024 unique relations Thu Oct 23 23:12:09 2025 read 24299024 relations Thu Oct 23 23:13:18 2025 using 20 quadratic characters above 4294917295 Thu Oct 23 23:15:45 2025 building initial matrix Thu Oct 23 23:26:37 2025 memory use: 2968.3 MB Thu Oct 23 23:26:48 2025 read 7462368 cycles Thu Oct 23 23:26:49 2025 matrix is 7462191 x 7462368 (3265.0 MB) with weight 924680178 (123.91/col) Thu Oct 23 23:26:49 2025 sparse part has weight 781278279 (104.70/col) Thu Oct 23 23:29:23 2025 filtering completed in 2 passes Thu Oct 23 23:29:25 2025 matrix is 7462041 x 7462184 (3265.0 MB) with weight 924674379 (123.91/col) Thu Oct 23 23:29:25 2025 sparse part has weight 781275846 (104.70/col) Thu Oct 23 23:30:12 2025 matrix starts at (0, 0) Thu Oct 23 23:30:14 2025 matrix is 7462041 x 7462184 (3265.0 MB) with weight 924674379 (123.91/col) Thu Oct 23 23:30:14 2025 sparse part has weight 781275846 (104.70/col) Thu Oct 23 23:30:14 2025 saving the first 496 matrix rows for later Thu Oct 23 23:30:19 2025 matrix includes 512 packed rows Thu Oct 23 23:30:29 2025 matrix is 7461545 x 7462184 (3105.9 MB) with weight 671237926 (89.95/col) Thu Oct 23 23:30:29 2025 sparse part has weight 635103237 (85.11/col) Fri Oct 24 00:28:24 2025 Fri Oct 24 00:28:24 2025 Fri Oct 24 00:28:24 2025 Msieve v. 1.54 (SVN unknown) Fri Oct 24 00:28:24 2025 random seeds: d3c3c6a0 304aacb2 Fri Oct 24 00:28:24 2025 factoring 456698944827011095573748424123730388431728000266774648424746050505805456222696131015379029910421605277816174967967195602146038656031775495129213988840264474620161870048014414205366750102601416852540026168587 (207 digits) Fri Oct 24 00:28:25 2025 no P-1/P+1/ECM available, skipping Fri Oct 24 00:28:25 2025 commencing number field sieve (207-digit input) Fri Oct 24 00:28:25 2025 R0: 2892582051531301325756710295297492469530 Fri Oct 24 00:28:25 2025 R1: -53782730049071526523 Fri Oct 24 00:28:25 2025 A0: -1 Fri Oct 24 00:28:25 2025 A1: 3 Fri Oct 24 00:28:25 2025 A2: 6 Fri Oct 24 00:28:25 2025 A3: -4 Fri Oct 24 00:28:25 2025 A4: -5 Fri Oct 24 00:28:25 2025 A5: 1 Fri Oct 24 00:28:25 2025 A6: 1 Fri Oct 24 00:28:25 2025 skew 1.37, size 1.197e-11, alpha 3.126, combined = 7.161e-13 rroots = 6 Fri Oct 24 00:28:25 2025 Fri Oct 24 00:28:25 2025 commencing linear algebra Fri Oct 24 00:28:25 2025 using VBITS=512 Fri Oct 24 00:28:25 2025 skipping matrix build Fri Oct 24 00:28:27 2025 matrix starts at (0, 0) Fri Oct 24 00:28:28 2025 matrix is 7462041 x 7462184 (3265.0 MB) with weight 924674379 (123.91/col) Fri Oct 24 00:28:28 2025 sparse part has weight 781275846 (104.70/col) Fri Oct 24 00:28:28 2025 saving the first 496 matrix rows for later Fri Oct 24 00:28:30 2025 matrix includes 512 packed rows Fri Oct 24 00:28:34 2025 matrix is 7461545 x 7462184 (3105.9 MB) with weight 671237926 (89.95/col) Fri Oct 24 00:28:34 2025 sparse part has weight 635103237 (85.11/col) Fri Oct 24 00:28:35 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Fri Oct 24 00:28:35 2025 selected card has CUDA arch 8.6 Fri Oct 24 00:29:18 2025 commencing Lanczos iteration Fri Oct 24 00:29:19 2025 memory use: 8603.0 MB Fri Oct 24 00:29:46 2025 linear algebra at 0.2%, ETA 3h38m Fri Oct 24 00:29:47 2025 checkpointing every 2040000 dimensions Fri Oct 24 04:28:02 2025 lanczos halted after 14597 iterations (dim = 7461543) Fri Oct 24 04:29:49 2025 recovered 33 nontrivial dependencies Fri Oct 24 04:29:49 2025 BLanczosTime: 14484 Fri Oct 24 04:29:49 2025 elapsed time 04:01:25 Fri Oct 24 09:53:38 2025 Fri Oct 24 09:53:38 2025 Fri Oct 24 09:53:38 2025 Msieve v. 1.54 (SVN unknown) Fri Oct 24 09:53:38 2025 random seeds: f8ce6996 ac34eb39 Fri Oct 24 09:53:38 2025 factoring 456698944827011095573748424123730388431728000266774648424746050505805456222696131015379029910421605277816174967967195602146038656031775495129213988840264474620161870048014414205366750102601416852540026168587 (207 digits) Fri Oct 24 09:53:38 2025 no P-1/P+1/ECM available, skipping Fri Oct 24 09:53:38 2025 commencing number field sieve (207-digit input) Fri Oct 24 09:53:38 2025 R0: 2892582051531301325756710295297492469530 Fri Oct 24 09:53:38 2025 R1: -53782730049071526523 Fri Oct 24 09:53:38 2025 A0: -1 Fri Oct 24 09:53:38 2025 A1: 3 Fri Oct 24 09:53:38 2025 A2: 6 Fri Oct 24 09:53:38 2025 A3: -4 Fri Oct 24 09:53:38 2025 A4: -5 Fri Oct 24 09:53:38 2025 A5: 1 Fri Oct 24 09:53:38 2025 A6: 1 Fri Oct 24 09:53:38 2025 skew 1.37, size 1.197e-11, alpha 3.126, combined = 7.161e-13 rroots = 6 Fri Oct 24 09:53:38 2025 Fri Oct 24 09:53:38 2025 commencing square root phase Fri Oct 24 09:53:38 2025 reading relations for dependency 1 Fri Oct 24 09:53:39 2025 read 3731754 cycles Fri Oct 24 09:53:45 2025 cycles contain 12150738 unique relations Fri Oct 24 09:54:43 2025 read 12150738 relations Fri Oct 24 09:55:25 2025 multiplying 12150738 relations Fri Oct 24 10:01:06 2025 multiply complete, coefficients have about 297.84 million bits Fri Oct 24 10:01:08 2025 initial square root is modulo 220903 Fri Oct 24 10:07:45 2025 sqrtTime: 847 Fri Oct 24 10:07:45 2025 p95 factor: 14486941352430517919196133579886246526266756657220383025533337274730133509358425583526121867221 Fri Oct 24 10:07:45 2025 p113 factor: 31524870137642224513035521842451008800720775138714123734972980753238148424450725246766485716718101791845363665247 Fri Oct 24 10:07:45 2025 elapsed time 00:14:07