Sat Mar 21 16:16:22 2026 Sat Mar 21 16:16:22 2026 Sat Mar 21 16:16:22 2026 Msieve v. 1.54 (SVN unknown) Sat Mar 21 16:16:22 2026 random seeds: 577cafee 0b7c0c2b Sat Mar 21 16:16:22 2026 factoring 574430750184743619020615801193562063927321127627372582496601155529089434320858007459019636350810879340554459908096797152479134966522208722384950052979107419414866506867202778494637641452361312465382558836277039921072682222170264657 (231 digits) Sat Mar 21 16:16:23 2026 no P-1/P+1/ECM available, skipping Sat Mar 21 16:16:23 2026 commencing number field sieve (231-digit input) Sat Mar 21 16:16:23 2026 R0: 1345930633684030829469899711492902752722 Sat Mar 21 16:16:23 2026 R1: -36686927285942479561 Sat Mar 21 16:16:23 2026 A0: -1 Sat Mar 21 16:16:23 2026 A1: 3 Sat Mar 21 16:16:23 2026 A2: 6 Sat Mar 21 16:16:23 2026 A3: -4 Sat Mar 21 16:16:23 2026 A4: -5 Sat Mar 21 16:16:23 2026 A5: 1 Sat Mar 21 16:16:23 2026 A6: 1 Sat Mar 21 16:16:23 2026 skew 1.37, size 1.489e-11, alpha 3.126, combined = 8.400e-13 rroots = 6 Sat Mar 21 16:16:23 2026 Sat Mar 21 16:16:23 2026 commencing relation filtering Sat Mar 21 16:16:23 2026 setting target matrix density to 92.0 Sat Mar 21 16:16:23 2026 estimated available RAM is 7902.4 MB Sat Mar 21 16:16:23 2026 commencing duplicate removal, pass 1 Sat Mar 21 16:31:02 2026 skipped 11 relations with b > 2^32 Sat Mar 21 16:31:02 2026 found 5120067 hash collisions in 108421951 relations Sat Mar 21 16:31:02 2026 commencing duplicate removal, pass 2 Sat Mar 21 16:31:50 2026 found 0 duplicates and 108421951 unique relations Sat Mar 21 16:31:50 2026 memory use: 378.4 MB Sat Mar 21 16:31:50 2026 reading ideals above 72941568 Sat Mar 21 16:31:50 2026 commencing singleton removal, initial pass Sat Mar 21 16:42:53 2026 memory use: 2756.0 MB Sat Mar 21 16:42:53 2026 reading all ideals from disk Sat Mar 21 16:42:57 2026 memory use: 1906.5 MB Sat Mar 21 16:43:03 2026 commencing in-memory singleton removal Sat Mar 21 16:43:07 2026 begin with 108421951 relations and 104662992 unique ideals Sat Mar 21 16:44:04 2026 reduce to 49789054 relations and 37445825 ideals in 20 passes Sat Mar 21 16:44:04 2026 max relations containing the same ideal: 31 Sat Mar 21 16:44:07 2026 reading ideals above 720000 Sat Mar 21 16:44:08 2026 commencing singleton removal, initial pass Sat Mar 21 16:51:04 2026 memory use: 1378.0 MB Sat Mar 21 16:51:04 2026 reading all ideals from disk Sat Mar 21 16:51:09 2026 memory use: 1871.1 MB Sat Mar 21 16:51:14 2026 keeping 45751403 ideals with weight <= 200, target excess is 254746 Sat Mar 21 16:51:20 2026 commencing in-memory singleton removal Sat Mar 21 16:51:25 2026 begin with 49789057 relations and 45751403 unique ideals Sat Mar 21 16:52:13 2026 reduce to 49776017 relations and 45738354 ideals in 10 passes Sat Mar 21 16:52:13 2026 max relations containing the same ideal: 200 Sat Mar 21 16:52:41 2026 removing 3729503 relations and 3329503 ideals in 400000 cliques Sat Mar 21 16:52:42 2026 commencing in-memory singleton removal Sat Mar 21 16:52:47 2026 begin with 46046514 relations and 45738354 unique ideals Sat Mar 21 16:53:24 2026 reduce to 45779542 relations and 42138469 ideals in 9 passes Sat Mar 21 16:53:24 2026 max relations containing the same ideal: 196 Sat Mar 21 16:53:47 2026 removing 2782839 relations and 2382839 ideals in 400000 cliques Sat Mar 21 16:53:49 2026 commencing in-memory singleton removal Sat Mar 21 16:53:53 2026 begin with 42996703 relations and 42138469 unique ideals Sat Mar 21 16:54:24 2026 reduce to 42836821 relations and 39594099 ideals in 9 passes Sat Mar 21 16:54:24 2026 max relations containing the same ideal: 190 Sat Mar 21 16:54:45 2026 removing 2483086 relations and 2083086 ideals in 400000 cliques Sat Mar 21 16:54:47 2026 commencing in-memory singleton removal Sat Mar 21 16:54:51 2026 begin with 40353735 relations and 39594099 unique ideals Sat Mar 21 16:55:17 2026 reduce to 40220514 relations and 37376490 ideals in 8 passes Sat Mar 21 16:55:17 2026 max relations containing the same ideal: 183 Sat Mar 21 16:55:37 2026 removing 2327248 relations and 1927248 ideals in 400000 cliques Sat Mar 21 16:55:38 2026 commencing in-memory singleton removal Sat Mar 21 16:55:42 2026 begin with 37893266 relations and 37376490 unique ideals Sat Mar 21 16:56:08 2026 reduce to 37771994 relations and 35326759 ideals in 9 passes Sat Mar 21 16:56:08 2026 max relations containing the same ideal: 177 Sat Mar 21 16:56:26 2026 removing 2224315 relations and 1824315 ideals in 400000 cliques Sat Mar 21 16:56:27 2026 commencing in-memory singleton removal Sat Mar 21 16:56:30 2026 begin with 35547679 relations and 35326759 unique ideals Sat Mar 21 16:56:53 2026 reduce to 35431558 relations and 33385111 ideals in 8 passes Sat Mar 21 16:56:53 2026 max relations containing the same ideal: 167 Sat Mar 21 16:57:10 2026 removing 2155371 relations and 1755371 ideals in 400000 cliques Sat Mar 21 16:57:12 2026 commencing in-memory singleton removal Sat Mar 21 16:57:15 2026 begin with 33276187 relations and 33385111 unique ideals Sat Mar 21 16:57:34 2026 reduce to 33161634 relations and 31513961 ideals in 8 passes Sat Mar 21 16:57:34 2026 max relations containing the same ideal: 161 Sat Mar 21 16:57:51 2026 removing 2105649 relations and 1705649 ideals in 400000 cliques Sat Mar 21 16:57:52 2026 commencing in-memory singleton removal Sat Mar 21 16:57:55 2026 begin with 31055985 relations and 31513961 unique ideals Sat Mar 21 16:58:14 2026 reduce to 30939196 relations and 29690296 ideals in 8 passes Sat Mar 21 16:58:14 2026 max relations containing the same ideal: 155 Sat Mar 21 16:58:29 2026 removing 2071419 relations and 1671419 ideals in 400000 cliques Sat Mar 21 16:58:30 2026 commencing in-memory singleton removal Sat Mar 21 16:58:32 2026 begin with 28867777 relations and 29690296 unique ideals Sat Mar 21 16:58:48 2026 reduce to 28748795 relations and 27898502 ideals in 7 passes Sat Mar 21 16:58:48 2026 max relations containing the same ideal: 147 Sat Mar 21 16:59:02 2026 removing 2045873 relations and 1645873 ideals in 400000 cliques Sat Mar 21 16:59:03 2026 commencing in-memory singleton removal Sat Mar 21 16:59:05 2026 begin with 26702922 relations and 27898502 unique ideals Sat Mar 21 16:59:22 2026 reduce to 26580590 relations and 26128782 ideals in 8 passes Sat Mar 21 16:59:22 2026 max relations containing the same ideal: 139 Sat Mar 21 16:59:35 2026 removing 947709 relations and 791407 ideals in 156302 cliques Sat Mar 21 16:59:36 2026 commencing in-memory singleton removal Sat Mar 21 16:59:38 2026 begin with 25632881 relations and 26128782 unique ideals Sat Mar 21 16:59:51 2026 reduce to 25606769 relations and 25311130 ideals in 7 passes Sat Mar 21 16:59:51 2026 max relations containing the same ideal: 134 Sat Mar 21 17:00:08 2026 relations with 0 large ideals: 17846 Sat Mar 21 17:00:08 2026 relations with 1 large ideals: 1562 Sat Mar 21 17:00:08 2026 relations with 2 large ideals: 18551 Sat Mar 21 17:00:08 2026 relations with 3 large ideals: 173501 Sat Mar 21 17:00:08 2026 relations with 4 large ideals: 909382 Sat Mar 21 17:00:08 2026 relations with 5 large ideals: 2848035 Sat Mar 21 17:00:08 2026 relations with 6 large ideals: 5548233 Sat Mar 21 17:00:08 2026 relations with 7+ large ideals: 16089659 Sat Mar 21 17:00:08 2026 commencing 2-way merge Sat Mar 21 17:00:27 2026 reduce to 15622847 relation sets and 15327208 unique ideals Sat Mar 21 17:00:27 2026 commencing full merge Sat Mar 21 17:06:40 2026 memory use: 2163.1 MB Sat Mar 21 17:06:42 2026 found 7570595 cycles, need 7551408 Sat Mar 21 17:06:45 2026 weight of 7551408 cycles is about 694786479 (92.01/cycle) Sat Mar 21 17:06:45 2026 distribution of cycle lengths: Sat Mar 21 17:06:45 2026 1 relations: 758485 Sat Mar 21 17:06:45 2026 2 relations: 727572 Sat Mar 21 17:06:45 2026 3 relations: 687880 Sat Mar 21 17:06:45 2026 4 relations: 632991 Sat Mar 21 17:06:45 2026 5 relations: 590525 Sat Mar 21 17:06:45 2026 6 relations: 537959 Sat Mar 21 17:06:45 2026 7 relations: 493382 Sat Mar 21 17:06:45 2026 8 relations: 446055 Sat Mar 21 17:06:45 2026 9 relations: 401726 Sat Mar 21 17:06:45 2026 10+ relations: 2274833 Sat Mar 21 17:06:45 2026 heaviest cycle: 28 relations Sat Mar 21 17:06:47 2026 commencing cycle optimization Sat Mar 21 17:07:04 2026 start with 55692200 relations Sat Mar 21 17:09:05 2026 pruned 1643733 relations Sat Mar 21 17:09:05 2026 memory use: 1628.3 MB Sat Mar 21 17:09:05 2026 distribution of cycle lengths: Sat Mar 21 17:09:05 2026 1 relations: 758485 Sat Mar 21 17:09:05 2026 2 relations: 739737 Sat Mar 21 17:09:05 2026 3 relations: 709162 Sat Mar 21 17:09:05 2026 4 relations: 649555 Sat Mar 21 17:09:05 2026 5 relations: 607953 Sat Mar 21 17:09:05 2026 6 relations: 551348 Sat Mar 21 17:09:05 2026 7 relations: 505198 Sat Mar 21 17:09:05 2026 8 relations: 455025 Sat Mar 21 17:09:05 2026 9 relations: 408464 Sat Mar 21 17:09:05 2026 10+ relations: 2166481 Sat Mar 21 17:09:05 2026 heaviest cycle: 28 relations Sat Mar 21 17:09:26 2026 RelProcTime: 3183 Sat Mar 21 17:09:26 2026 elapsed time 00:53:04 Sat Mar 21 17:34:40 2026 Sat Mar 21 17:34:40 2026 Sat Mar 21 17:34:40 2026 Msieve v. 1.54 (SVN unknown) Sat Mar 21 17:34:40 2026 random seeds: b8d01cae 7a0de313 Sat Mar 21 17:34:40 2026 factoring 574430750184743619020615801193562063927321127627372582496601155529089434320858007459019636350810879340554459908096797152479134966522208722384950052979107419414866506867202778494637641452361312465382558836277039921072682222170264657 (231 digits) Sat Mar 21 17:34:41 2026 no P-1/P+1/ECM available, skipping Sat Mar 21 17:34:41 2026 commencing number field sieve (231-digit input) Sat Mar 21 17:34:41 2026 R0: 1345930633684030829469899711492902752722 Sat Mar 21 17:34:41 2026 R1: -36686927285942479561 Sat Mar 21 17:34:41 2026 A0: -1 Sat Mar 21 17:34:41 2026 A1: 3 Sat Mar 21 17:34:41 2026 A2: 6 Sat Mar 21 17:34:41 2026 A3: -4 Sat Mar 21 17:34:41 2026 A4: -5 Sat Mar 21 17:34:41 2026 A5: 1 Sat Mar 21 17:34:41 2026 A6: 1 Sat Mar 21 17:34:41 2026 skew 1.37, size 1.489e-11, alpha 3.126, combined = 8.400e-13 rroots = 6 Sat Mar 21 17:34:41 2026 Sat Mar 21 17:34:41 2026 commencing linear algebra Sat Mar 21 17:34:41 2026 using VBITS=512 Sat Mar 21 17:34:42 2026 read 7551408 cycles Sat Mar 21 17:35:00 2026 cycles contain 25399269 unique relations Sat Mar 21 17:37:22 2026 read 25399269 relations Sat Mar 21 17:38:21 2026 using 20 quadratic characters above 4294917295 Sat Mar 21 17:40:32 2026 building initial matrix Sat Mar 21 17:45:23 2026 memory use: 3041.0 MB Sat Mar 21 17:45:25 2026 read 7551408 cycles Sat Mar 21 17:45:26 2026 matrix is 7551231 x 7551408 (2819.4 MB) with weight 802542142 (106.28/col) Sat Mar 21 17:45:26 2026 sparse part has weight 663566346 (87.87/col) Sat Mar 21 17:46:36 2026 filtering completed in 2 passes Sat Mar 21 17:46:37 2026 matrix is 7550685 x 7550828 (2819.3 MB) with weight 802527493 (106.28/col) Sat Mar 21 17:46:37 2026 sparse part has weight 663562313 (87.88/col) Sat Mar 21 17:47:02 2026 matrix starts at (0, 0) Sat Mar 21 17:47:03 2026 matrix is 7550685 x 7550828 (2819.3 MB) with weight 802527493 (106.28/col) Sat Mar 21 17:47:03 2026 sparse part has weight 663562313 (87.88/col) Sat Mar 21 17:47:03 2026 saving the first 496 matrix rows for later Sat Mar 21 17:47:05 2026 matrix includes 512 packed rows Sat Mar 21 17:47:10 2026 matrix is 7550189 x 7550828 (2752.3 MB) with weight 570370638 (75.54/col) Sat Mar 21 17:47:10 2026 sparse part has weight 540283808 (71.55/col) Sat Mar 21 17:47:10 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Sat Mar 21 17:47:10 2026 selected card has CUDA arch 8.6 Sat Mar 21 17:47:56 2026 commencing Lanczos iteration Sat Mar 21 18:08:08 2026 Sat Mar 21 18:08:08 2026 Sat Mar 21 18:08:08 2026 Msieve v. 1.54 (SVN unknown) Sat Mar 21 18:08:08 2026 random seeds: 5285b6d9 28a9b5d3 Sat Mar 21 18:08:08 2026 factoring 574430750184743619020615801193562063927321127627372582496601155529089434320858007459019636350810879340554459908096797152479134966522208722384950052979107419414866506867202778494637641452361312465382558836277039921072682222170264657 (231 digits) Sat Mar 21 18:08:09 2026 no P-1/P+1/ECM available, skipping Sat Mar 21 18:08:09 2026 commencing number field sieve (231-digit input) Sat Mar 21 18:08:09 2026 R0: 1345930633684030829469899711492902752722 Sat Mar 21 18:08:09 2026 R1: -36686927285942479561 Sat Mar 21 18:08:09 2026 A0: -1 Sat Mar 21 18:08:09 2026 A1: 3 Sat Mar 21 18:08:09 2026 A2: 6 Sat Mar 21 18:08:09 2026 A3: -4 Sat Mar 21 18:08:09 2026 A4: -5 Sat Mar 21 18:08:09 2026 A5: 1 Sat Mar 21 18:08:09 2026 A6: 1 Sat Mar 21 18:08:09 2026 skew 1.37, size 1.489e-11, alpha 3.126, combined = 8.400e-13 rroots = 6 Sat Mar 21 18:08:09 2026 Sat Mar 21 18:08:09 2026 commencing linear algebra Sat Mar 21 18:08:09 2026 using VBITS=512 Sat Mar 21 18:08:09 2026 skipping matrix build Sat Mar 21 18:08:16 2026 matrix starts at (0, 0) Sat Mar 21 18:08:17 2026 matrix is 7550685 x 7550828 (2819.3 MB) with weight 802527493 (106.28/col) Sat Mar 21 18:08:17 2026 sparse part has weight 663562313 (87.88/col) Sat Mar 21 18:08:17 2026 saving the first 496 matrix rows for later Sat Mar 21 18:08:19 2026 matrix includes 512 packed rows Sat Mar 21 18:08:23 2026 matrix is 7550189 x 7550828 (2752.3 MB) with weight 570370638 (75.54/col) Sat Mar 21 18:08:23 2026 sparse part has weight 540283808 (71.55/col) Sat Mar 21 18:08:24 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Sat Mar 21 18:08:24 2026 selected card has CUDA arch 8.6 Sat Mar 21 18:09:11 2026 commencing Lanczos iteration Sat Mar 21 18:09:13 2026 memory use: 8241.0 MB Sat Mar 21 18:09:41 2026 linear algebra at 0.2%, ETA 3h24m Sat Mar 21 18:09:42 2026 checkpointing every 2200000 dimensions Sat Mar 21 21:35:44 2026 lanczos halted after 14770 iterations (dim = 7550189) Sat Mar 21 21:37:25 2026 recovered 34 nontrivial dependencies Sat Mar 21 21:37:25 2026 BLanczosTime: 12556 Sat Mar 21 21:37:25 2026 elapsed time 03:29:17 Sat Mar 21 22:07:51 2026 Sat Mar 21 22:07:51 2026 Sat Mar 21 22:07:51 2026 Msieve v. 1.54 (SVN unknown) Sat Mar 21 22:07:51 2026 random seeds: 4e0f1b8c c90a6ee3 Sat Mar 21 22:07:51 2026 factoring 574430750184743619020615801193562063927321127627372582496601155529089434320858007459019636350810879340554459908096797152479134966522208722384950052979107419414866506867202778494637641452361312465382558836277039921072682222170264657 (231 digits) Sat Mar 21 22:07:52 2026 no P-1/P+1/ECM available, skipping Sat Mar 21 22:07:52 2026 commencing number field sieve (231-digit input) Sat Mar 21 22:07:52 2026 R0: 1345930633684030829469899711492902752722 Sat Mar 21 22:07:52 2026 R1: -36686927285942479561 Sat Mar 21 22:07:52 2026 A0: -1 Sat Mar 21 22:07:52 2026 A1: 3 Sat Mar 21 22:07:52 2026 A2: 6 Sat Mar 21 22:07:52 2026 A3: -4 Sat Mar 21 22:07:52 2026 A4: -5 Sat Mar 21 22:07:52 2026 A5: 1 Sat Mar 21 22:07:52 2026 A6: 1 Sat Mar 21 22:07:52 2026 skew 1.37, size 1.489e-11, alpha 3.126, combined = 8.400e-13 rroots = 6 Sat Mar 21 22:07:52 2026 Sat Mar 21 22:07:52 2026 commencing square root phase Sat Mar 21 22:07:52 2026 reading relations for dependency 1 Sat Mar 21 22:07:53 2026 read 3774809 cycles Sat Mar 21 22:08:01 2026 cycles contain 12699828 unique relations Sat Mar 21 22:09:28 2026 read 12699828 relations Sat Mar 21 22:10:37 2026 multiplying 12699828 relations Sat Mar 21 22:19:03 2026 multiply complete, coefficients have about 309.28 million bits Sat Mar 21 22:19:05 2026 initial square root is modulo 354391 Sat Mar 21 22:28:45 2026 GCD is 1, no factor found Sat Mar 21 22:28:45 2026 reading relations for dependency 2 Sat Mar 21 22:28:46 2026 read 3776153 cycles Sat Mar 21 22:28:53 2026 cycles contain 12701744 unique relations Sat Mar 21 22:30:03 2026 read 12701744 relations Sat Mar 21 22:31:13 2026 multiplying 12701744 relations Sat Mar 21 22:39:20 2026 multiply complete, coefficients have about 309.33 million bits Sat Mar 21 22:39:22 2026 initial square root is modulo 355127 Sat Mar 21 22:48:35 2026 sqrtTime: 2443 Sat Mar 21 22:48:35 2026 p53 factor: 14939598313178102975019436245946553894686053646753643 Sat Mar 21 22:48:35 2026 p179 factor: 38450213864053007456606466470962601055454524712587641691196022326505511871959384905262700900986375200323947324418918862770063950735955453607569459465400048461314201656436752578099 Sat Mar 21 22:48:35 2026 elapsed time 00:40:44