Tue Aug 19 11:34:32 2025 Msieve v. 1.54 (SVN 66ed352) Tue Aug 19 11:34:32 2025 random seeds: b8448fba 71ab9424 Tue Aug 19 11:34:32 2025 Using 16 OpenMP threads Tue Aug 19 11:34:32 2025 factoring 2404063457930493447579524805133853316202541149294943793031675868690864539564335370896007151864244149857233164179469526343387819293509673576462151563326350526023620479573048171273019605603 (187 digits) Tue Aug 19 11:34:33 2025 no P-1/P+1/ECM available, skipping Tue Aug 19 11:34:33 2025 commencing number field sieve (187-digit input) Tue Aug 19 11:34:33 2025 R0: 100000000000000000000000000000000000000 Tue Aug 19 11:34:33 2025 R1: -1 Tue Aug 19 11:34:33 2025 A0: 719 Tue Aug 19 11:34:33 2025 A1: 0 Tue Aug 19 11:34:33 2025 A2: 0 Tue Aug 19 11:34:33 2025 A3: 0 Tue Aug 19 11:34:33 2025 A4: 0 Tue Aug 19 11:34:33 2025 A5: 0 Tue Aug 19 11:34:33 2025 A6: 1 Tue Aug 19 11:34:33 2025 skew 1.00, size 2.207e-11, alpha 0.466, combined = 1.042e-12 rroots = 0 Tue Aug 19 11:34:33 2025 Tue Aug 19 11:34:33 2025 commencing relation filtering Tue Aug 19 11:34:33 2025 setting target matrix density to 105.0 Tue Aug 19 11:34:33 2025 estimated available RAM is 128734.6 MB Tue Aug 19 11:34:33 2025 commencing duplicate removal, pass 1 Tue Aug 19 11:39:35 2025 skipped 1 relations with b > 2^32 Tue Aug 19 11:39:35 2025 found 8511742 hash collisions in 197057751 relations Tue Aug 19 11:39:42 2025 added 1218445 free relations Tue Aug 19 11:39:42 2025 commencing duplicate removal, pass 2 Tue Aug 19 11:40:32 2025 found 0 duplicates and 198276196 unique relations Tue Aug 19 11:40:32 2025 memory use: 554.4 MB Tue Aug 19 11:40:32 2025 reading ideals above 720000 Tue Aug 19 11:40:32 2025 commencing singleton removal, initial pass Tue Aug 19 11:51:37 2025 memory use: 3012.0 MB Tue Aug 19 11:51:37 2025 reading all ideals from disk Tue Aug 19 11:51:39 2025 memory use: 9008.6 MB Tue Aug 19 11:51:54 2025 keeping 153487734 ideals with weight <= 200, target excess is 1012777 Tue Aug 19 11:52:07 2025 commencing in-memory singleton removal Tue Aug 19 11:52:10 2025 begin with 198276196 relations and 153487734 unique ideals Tue Aug 19 11:52:43 2025 reduce to 162846437 relations and 117044027 ideals in 12 passes Tue Aug 19 11:52:43 2025 max relations containing the same ideal: 184 Tue Aug 19 11:53:25 2025 removing 9931910 relations and 7931910 ideals in 2000000 cliques Tue Aug 19 11:53:29 2025 commencing in-memory singleton removal Tue Aug 19 11:53:31 2025 begin with 152914527 relations and 117044027 unique ideals Tue Aug 19 11:53:38 2025 reduce to 152456863 relations and 108647049 ideals in 7 passes Tue Aug 19 11:53:38 2025 max relations containing the same ideal: 177 Tue Aug 19 11:54:19 2025 removing 7588328 relations and 5588328 ideals in 2000000 cliques Tue Aug 19 11:54:22 2025 commencing in-memory singleton removal Tue Aug 19 11:54:23 2025 begin with 144868535 relations and 108647049 unique ideals Tue Aug 19 11:54:33 2025 reduce to 144561083 relations and 102746886 ideals in 7 passes Tue Aug 19 11:54:33 2025 max relations containing the same ideal: 172 Tue Aug 19 11:55:13 2025 removing 6913001 relations and 4913001 ideals in 2000000 cliques Tue Aug 19 11:55:15 2025 commencing in-memory singleton removal Tue Aug 19 11:55:17 2025 begin with 137648082 relations and 102746886 unique ideals Tue Aug 19 11:55:23 2025 reduce to 137383444 relations and 97565460 ideals in 6 passes Tue Aug 19 11:55:23 2025 max relations containing the same ideal: 170 Tue Aug 19 11:56:01 2025 removing 6550258 relations and 4550258 ideals in 2000000 cliques Tue Aug 19 11:56:03 2025 commencing in-memory singleton removal Tue Aug 19 11:56:05 2025 begin with 130833186 relations and 97565460 unique ideals Tue Aug 19 11:56:11 2025 reduce to 130591342 relations and 92769746 ideals in 7 passes Tue Aug 19 11:56:11 2025 max relations containing the same ideal: 162 Tue Aug 19 11:56:47 2025 removing 6319912 relations and 4319912 ideals in 2000000 cliques Tue Aug 19 11:56:49 2025 commencing in-memory singleton removal Tue Aug 19 11:56:51 2025 begin with 124271430 relations and 92769746 unique ideals Tue Aug 19 11:57:00 2025 reduce to 124041654 relations and 88216561 ideals in 7 passes Tue Aug 19 11:57:00 2025 max relations containing the same ideal: 155 Tue Aug 19 11:57:33 2025 removing 6150132 relations and 4150132 ideals in 2000000 cliques Tue Aug 19 11:57:37 2025 commencing in-memory singleton removal Tue Aug 19 11:57:39 2025 begin with 117891522 relations and 88216561 unique ideals Tue Aug 19 11:57:52 2025 reduce to 117667196 relations and 83838602 ideals in 6 passes Tue Aug 19 11:57:52 2025 max relations containing the same ideal: 152 Tue Aug 19 11:58:22 2025 removing 6021685 relations and 4021685 ideals in 2000000 cliques Tue Aug 19 11:58:25 2025 commencing in-memory singleton removal Tue Aug 19 11:58:28 2025 begin with 111645511 relations and 83838602 unique ideals Tue Aug 19 11:58:39 2025 reduce to 111425784 relations and 79593544 ideals in 6 passes Tue Aug 19 11:58:39 2025 max relations containing the same ideal: 148 Tue Aug 19 11:59:05 2025 removing 5921096 relations and 3921096 ideals in 2000000 cliques Tue Aug 19 11:59:09 2025 commencing in-memory singleton removal Tue Aug 19 11:59:11 2025 begin with 105504688 relations and 79593544 unique ideals Tue Aug 19 11:59:23 2025 reduce to 105285448 relations and 75449349 ideals in 7 passes Tue Aug 19 11:59:23 2025 max relations containing the same ideal: 142 Tue Aug 19 11:59:49 2025 removing 5843825 relations and 3843825 ideals in 2000000 cliques Tue Aug 19 11:59:52 2025 commencing in-memory singleton removal Tue Aug 19 11:59:55 2025 begin with 99441623 relations and 75449349 unique ideals Tue Aug 19 12:00:07 2025 reduce to 99219929 relations and 71379776 ideals in 7 passes Tue Aug 19 12:00:07 2025 max relations containing the same ideal: 139 Tue Aug 19 12:00:31 2025 removing 5775660 relations and 3775660 ideals in 2000000 cliques Tue Aug 19 12:00:34 2025 commencing in-memory singleton removal Tue Aug 19 12:00:36 2025 begin with 93444269 relations and 71379776 unique ideals Tue Aug 19 12:00:46 2025 reduce to 93218054 relations and 67373383 ideals in 6 passes Tue Aug 19 12:00:46 2025 max relations containing the same ideal: 133 Tue Aug 19 12:01:09 2025 removing 5721490 relations and 3721490 ideals in 2000000 cliques Tue Aug 19 12:01:11 2025 commencing in-memory singleton removal Tue Aug 19 12:01:12 2025 begin with 87496564 relations and 67373383 unique ideals Tue Aug 19 12:01:18 2025 reduce to 87264469 relations and 63414892 ideals in 6 passes Tue Aug 19 12:01:18 2025 max relations containing the same ideal: 127 Tue Aug 19 12:01:44 2025 removing 5684072 relations and 3684072 ideals in 2000000 cliques Tue Aug 19 12:01:46 2025 commencing in-memory singleton removal Tue Aug 19 12:01:47 2025 begin with 81580397 relations and 63414892 unique ideals Tue Aug 19 12:01:50 2025 reduce to 81339985 relations and 59485133 ideals in 6 passes Tue Aug 19 12:01:50 2025 max relations containing the same ideal: 122 Tue Aug 19 12:02:16 2025 removing 5654699 relations and 3654699 ideals in 2000000 cliques Tue Aug 19 12:02:18 2025 commencing in-memory singleton removal Tue Aug 19 12:02:20 2025 begin with 75685286 relations and 59485133 unique ideals Tue Aug 19 12:02:28 2025 reduce to 75433361 relations and 55572523 ideals in 6 passes Tue Aug 19 12:02:28 2025 max relations containing the same ideal: 116 Tue Aug 19 12:02:42 2025 removing 5630725 relations and 3630725 ideals in 2000000 cliques Tue Aug 19 12:02:45 2025 commencing in-memory singleton removal Tue Aug 19 12:02:45 2025 begin with 69802636 relations and 55572523 unique ideals Tue Aug 19 12:02:50 2025 reduce to 69537310 relations and 51669694 ideals in 6 passes Tue Aug 19 12:02:50 2025 max relations containing the same ideal: 109 Tue Aug 19 12:03:13 2025 removing 5615247 relations and 3615247 ideals in 2000000 cliques Tue Aug 19 12:03:16 2025 commencing in-memory singleton removal Tue Aug 19 12:03:17 2025 begin with 63922063 relations and 51669694 unique ideals Tue Aug 19 12:03:19 2025 reduce to 63639897 relations and 47764653 ideals in 6 passes Tue Aug 19 12:03:19 2025 max relations containing the same ideal: 103 Tue Aug 19 12:03:33 2025 removing 5612542 relations and 3612542 ideals in 2000000 cliques Tue Aug 19 12:03:35 2025 commencing in-memory singleton removal Tue Aug 19 12:03:37 2025 begin with 58027355 relations and 47764653 unique ideals Tue Aug 19 12:03:42 2025 reduce to 57723206 relations and 43839173 ideals in 6 passes Tue Aug 19 12:03:42 2025 max relations containing the same ideal: 97 Tue Aug 19 12:04:02 2025 removing 5617499 relations and 3617499 ideals in 2000000 cliques Tue Aug 19 12:04:04 2025 commencing in-memory singleton removal Tue Aug 19 12:04:05 2025 begin with 52105707 relations and 43839173 unique ideals Tue Aug 19 12:04:07 2025 reduce to 51774963 relations and 39880601 ideals in 6 passes Tue Aug 19 12:04:07 2025 max relations containing the same ideal: 90 Tue Aug 19 12:04:18 2025 removing 5624621 relations and 3624621 ideals in 2000000 cliques Tue Aug 19 12:04:20 2025 commencing in-memory singleton removal Tue Aug 19 12:04:21 2025 begin with 46150342 relations and 39880601 unique ideals Tue Aug 19 12:04:26 2025 reduce to 45787761 relations and 35880732 ideals in 7 passes Tue Aug 19 12:04:26 2025 max relations containing the same ideal: 83 Tue Aug 19 12:04:43 2025 removing 5643163 relations and 3643163 ideals in 2000000 cliques Tue Aug 19 12:04:44 2025 commencing in-memory singleton removal Tue Aug 19 12:04:44 2025 begin with 40144598 relations and 35880732 unique ideals Tue Aug 19 12:04:46 2025 reduce to 39740866 relations and 31818344 ideals in 7 passes Tue Aug 19 12:04:46 2025 max relations containing the same ideal: 73 Tue Aug 19 12:04:56 2025 removing 5661520 relations and 3661520 ideals in 2000000 cliques Tue Aug 19 12:04:58 2025 commencing in-memory singleton removal Tue Aug 19 12:04:58 2025 begin with 34079346 relations and 31818344 unique ideals Tue Aug 19 12:05:02 2025 reduce to 33623427 relations and 27680944 ideals in 7 passes Tue Aug 19 12:05:02 2025 max relations containing the same ideal: 67 Tue Aug 19 12:05:16 2025 removing 5674778 relations and 3674778 ideals in 2000000 cliques Tue Aug 19 12:05:18 2025 commencing in-memory singleton removal Tue Aug 19 12:05:18 2025 begin with 27948649 relations and 27680944 unique ideals Tue Aug 19 12:05:22 2025 reduce to 27421659 relations and 23452505 ideals in 7 passes Tue Aug 19 12:05:22 2025 max relations containing the same ideal: 59 Tue Aug 19 12:05:30 2025 removing 5677323 relations and 3677323 ideals in 2000000 cliques Tue Aug 19 12:05:31 2025 commencing in-memory singleton removal Tue Aug 19 12:05:31 2025 begin with 21744336 relations and 23452505 unique ideals Tue Aug 19 12:05:32 2025 reduce to 21108574 relations and 19100354 ideals in 7 passes Tue Aug 19 12:05:32 2025 max relations containing the same ideal: 50 Tue Aug 19 12:05:37 2025 removing 2726716 relations and 1893318 ideals in 833398 cliques Tue Aug 19 12:05:37 2025 commencing in-memory singleton removal Tue Aug 19 12:05:38 2025 begin with 18381858 relations and 19100354 unique ideals Tue Aug 19 12:05:39 2025 reduce to 18138461 relations and 16954894 ideals in 8 passes Tue Aug 19 12:05:39 2025 max relations containing the same ideal: 44 Tue Aug 19 12:05:46 2025 removing 53261 relations and 44516 ideals in 8745 cliques Tue Aug 19 12:05:46 2025 commencing in-memory singleton removal Tue Aug 19 12:05:47 2025 begin with 18085200 relations and 16954894 unique ideals Tue Aug 19 12:05:48 2025 reduce to 18085107 relations and 16910284 ideals in 5 passes Tue Aug 19 12:05:48 2025 max relations containing the same ideal: 44 Tue Aug 19 12:05:51 2025 relations with 0 large ideals: 33304 Tue Aug 19 12:05:51 2025 relations with 1 large ideals: 59430 Tue Aug 19 12:05:51 2025 relations with 2 large ideals: 506427 Tue Aug 19 12:05:51 2025 relations with 3 large ideals: 2090815 Tue Aug 19 12:05:51 2025 relations with 4 large ideals: 4363145 Tue Aug 19 12:05:51 2025 relations with 5 large ideals: 5125469 Tue Aug 19 12:05:51 2025 relations with 6 large ideals: 3615427 Tue Aug 19 12:05:51 2025 relations with 7+ large ideals: 2291090 Tue Aug 19 12:05:51 2025 commencing 2-way merge Tue Aug 19 12:05:59 2025 reduce to 11912957 relation sets and 10738134 unique ideals Tue Aug 19 12:05:59 2025 commencing full merge Tue Aug 19 12:07:54 2025 memory use: 1339.7 MB Tue Aug 19 12:07:55 2025 found 5700232 cycles, need 5552334 Tue Aug 19 12:07:55 2025 weight of 5552334 cycles is about 583368357 (105.07/cycle) Tue Aug 19 12:07:55 2025 distribution of cycle lengths: Tue Aug 19 12:07:55 2025 1 relations: 188366 Tue Aug 19 12:07:55 2025 2 relations: 325908 Tue Aug 19 12:07:55 2025 3 relations: 421110 Tue Aug 19 12:07:56 2025 4 relations: 462234 Tue Aug 19 12:07:56 2025 5 relations: 493398 Tue Aug 19 12:07:56 2025 6 relations: 494257 Tue Aug 19 12:07:56 2025 7 relations: 485044 Tue Aug 19 12:07:56 2025 8 relations: 453550 Tue Aug 19 12:07:56 2025 9 relations: 413251 Tue Aug 19 12:07:56 2025 10+ relations: 1815216 Tue Aug 19 12:07:56 2025 heaviest cycle: 24 relations Tue Aug 19 12:07:57 2025 commencing cycle optimization Tue Aug 19 12:08:03 2025 start with 43675830 relations Tue Aug 19 12:08:49 2025 pruned 1907353 relations Tue Aug 19 12:08:49 2025 memory use: 1195.2 MB Tue Aug 19 12:08:49 2025 distribution of cycle lengths: Tue Aug 19 12:08:49 2025 1 relations: 188366 Tue Aug 19 12:08:49 2025 2 relations: 334774 Tue Aug 19 12:08:49 2025 3 relations: 440703 Tue Aug 19 12:08:49 2025 4 relations: 484118 Tue Aug 19 12:08:49 2025 5 relations: 521463 Tue Aug 19 12:08:49 2025 6 relations: 522119 Tue Aug 19 12:08:49 2025 7 relations: 512718 Tue Aug 19 12:08:49 2025 8 relations: 476224 Tue Aug 19 12:08:49 2025 9 relations: 429966 Tue Aug 19 12:08:49 2025 10+ relations: 1641883 Tue Aug 19 12:08:49 2025 heaviest cycle: 23 relations Tue Aug 19 12:08:55 2025 RelProcTime: 2062 Tue Aug 19 12:08:55 2025 elapsed time 00:34:23 Tue Aug 19 12:09:08 2025 Tue Aug 19 12:09:08 2025 Tue Aug 19 12:09:08 2025 Msieve v. 1.54 (SVN 66ed352) Tue Aug 19 12:09:08 2025 random seeds: 4264c856 21ce66a3 Tue Aug 19 12:09:08 2025 MPI process 0 of 2 Tue Aug 19 12:09:08 2025 Using 8 OpenMP threads Tue Aug 19 12:09:08 2025 factoring 2404063457930493447579524805133853316202541149294943793031675868690864539564335370896007151864244149857233164179469526343387819293509673576462151563326350526023620479573048171273019605603 (187 digits) Tue Aug 19 12:09:08 2025 no P-1/P+1/ECM available, skipping Tue Aug 19 12:09:08 2025 commencing number field sieve (187-digit input) Tue Aug 19 12:09:08 2025 R0: 100000000000000000000000000000000000000 Tue Aug 19 12:09:08 2025 R1: -1 Tue Aug 19 12:09:08 2025 A0: 719 Tue Aug 19 12:09:08 2025 A1: 0 Tue Aug 19 12:09:08 2025 A2: 0 Tue Aug 19 12:09:08 2025 A3: 0 Tue Aug 19 12:09:08 2025 A4: 0 Tue Aug 19 12:09:08 2025 A5: 0 Tue Aug 19 12:09:08 2025 A6: 1 Tue Aug 19 12:09:08 2025 skew 1.00, size 2.207e-11, alpha 0.466, combined = 1.042e-12 rroots = 0 Tue Aug 19 12:09:08 2025 Tue Aug 19 12:09:08 2025 commencing linear algebra Tue Aug 19 12:09:08 2025 using VBITS=256 Tue Aug 19 12:09:08 2025 initialized process (0,0) of 1 x 2 grid Tue Aug 19 12:09:09 2025 read 5552334 cycles Tue Aug 19 12:09:14 2025 cycles contain 17539468 unique relations Tue Aug 19 12:09:26 2025 read 17539468 relations Tue Aug 19 12:09:29 2025 using 20 quadratic characters above 4294917295 Tue Aug 19 12:09:33 2025 building initial matrix Tue Aug 19 12:11:20 2025 memory use: 2224.5 MB Tue Aug 19 12:11:22 2025 read 5552334 cycles Tue Aug 19 12:11:22 2025 matrix is 5552150 x 5552334 (2299.1 MB) with weight 658221709 (118.55/col) Tue Aug 19 12:11:22 2025 sparse part has weight 547159075 (98.55/col) Tue Aug 19 12:11:49 2025 filtering completed in 2 passes Tue Aug 19 12:11:49 2025 matrix is 5551566 x 5551742 (2299.0 MB) with weight 658196592 (118.56/col) Tue Aug 19 12:11:49 2025 sparse part has weight 547145535 (98.55/col) Tue Aug 19 12:11:58 2025 matrix starts at (0, 0) Tue Aug 19 12:11:58 2025 matrix is 5551566 x 2775875 (1149.5 MB) with weight 329103203 (118.56/col) Tue Aug 19 12:11:58 2025 sparse part has weight 273572879 (98.55/col) Tue Aug 19 12:11:58 2025 saving the first 240 matrix rows for later Tue Aug 19 12:11:59 2025 matrix includes 256 packed rows Tue Aug 19 12:11:59 2025 matrix is 5551326 x 2775875 (1059.1 MB) with weight 246774415 (88.90/col) Tue Aug 19 12:11:59 2025 sparse part has weight 233220197 (84.02/col) Tue Aug 19 12:11:59 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Tue Aug 19 12:11:59 2025 selected card has CUDA arch 8.6 Tue Aug 19 12:12:08 2025 commencing Lanczos iteration Tue Aug 19 12:12:09 2025 memory use: 2742.9 MB Tue Aug 19 12:12:18 2025 linear algebra at 0.6%, ETA 0h27m Tue Aug 19 12:12:30 2025 checking every 210000 dimensions, checkpointing every 13230000 dimensions Tue Aug 19 12:37:41 2025 lanczos halted after 21752 iterations (dim = 5551324) Tue Aug 19 12:37:54 2025 recovered 33 nontrivial dependencies Tue Aug 19 12:37:54 2025 BLanczosTime: 1726 Tue Aug 19 12:37:54 2025 elapsed time 00:28:46 Tue Aug 19 12:56:53 2025 Tue Aug 19 12:56:53 2025 Tue Aug 19 12:56:53 2025 Msieve v. 1.54 (SVN 66ed352) Tue Aug 19 12:56:53 2025 random seeds: ac7a67bd 84291f9a Tue Aug 19 12:56:53 2025 Using 16 OpenMP threads Tue Aug 19 12:56:53 2025 factoring 2404063457930493447579524805133853316202541149294943793031675868690864539564335370896007151864244149857233164179469526343387819293509673576462151563326350526023620479573048171273019605603 (187 digits) Tue Aug 19 12:56:54 2025 no P-1/P+1/ECM available, skipping Tue Aug 19 12:56:54 2025 commencing number field sieve (187-digit input) Tue Aug 19 12:56:54 2025 R0: 100000000000000000000000000000000000000 Tue Aug 19 12:56:54 2025 R1: -1 Tue Aug 19 12:56:54 2025 A0: 719 Tue Aug 19 12:56:54 2025 A1: 0 Tue Aug 19 12:56:54 2025 A2: 0 Tue Aug 19 12:56:54 2025 A3: 0 Tue Aug 19 12:56:54 2025 A4: 0 Tue Aug 19 12:56:54 2025 A5: 0 Tue Aug 19 12:56:54 2025 A6: 1 Tue Aug 19 12:56:54 2025 skew 1.00, size 2.207e-11, alpha 0.466, combined = 1.042e-12 rroots = 0 Tue Aug 19 12:56:54 2025 Tue Aug 19 12:56:54 2025 commencing square root phase Tue Aug 19 12:56:54 2025 reading relations for dependency 1 Tue Aug 19 12:56:55 2025 read 2776554 cycles Tue Aug 19 12:56:59 2025 cycles contain 8770708 unique relations Tue Aug 19 12:57:28 2025 read 8770708 relations Tue Aug 19 12:57:45 2025 multiplying 8770708 relations Tue Aug 19 12:58:03 2025 multiply complete, coefficients have about 221.90 million bits Tue Aug 19 12:58:04 2025 initial square root is modulo 91929889 Tue Aug 19 12:58:41 2025 GCD is N, no factor found Tue Aug 19 12:58:41 2025 reading relations for dependency 2 Tue Aug 19 12:58:41 2025 read 2774775 cycles Tue Aug 19 12:58:44 2025 cycles contain 8766638 unique relations Tue Aug 19 12:58:53 2025 read 8766638 relations Tue Aug 19 12:59:10 2025 multiplying 8766638 relations Tue Aug 19 12:59:28 2025 multiply complete, coefficients have about 221.80 million bits Tue Aug 19 12:59:28 2025 initial square root is modulo 91129411 Tue Aug 19 13:00:06 2025 sqrtTime: 192 Tue Aug 19 13:00:06 2025 p89 factor: 58217238951133541899523307168677657060392020612243536606831884038624446118027837709405157 Tue Aug 19 13:00:06 2025 p98 factor: 41294700697647636793507996915861993760011686550441596307669448248787235528948896345937219924672679 Tue Aug 19 13:00:06 2025 elapsed time 00:03:13