Wed Aug 20 14:32:59 2025 Msieve v. 1.54 (SVN 66ed352) Wed Aug 20 14:32:59 2025 random seeds: f8158b71 6be93c48 Wed Aug 20 14:32:59 2025 Using 16 OpenMP threads Wed Aug 20 14:32:59 2025 factoring 440055801143275952575781823442236485414073473924672563967998697372989348578225559712485680923862902332862800935020260038028464979405799020236933835052730229022346207742411674012785969898827902125106385122287154033009378401896948652737461503077 (243 digits) Wed Aug 20 14:33:00 2025 no P-1/P+1/ECM available, skipping Wed Aug 20 14:33:00 2025 commencing number field sieve (243-digit input) Wed Aug 20 14:33:00 2025 R0: 1838949628693507725929055201735283477573903 Wed Aug 20 14:33:00 2025 R1: -1 Wed Aug 20 14:33:00 2025 A0: -1 Wed Aug 20 14:33:00 2025 A1: 0 Wed Aug 20 14:33:00 2025 A2: 0 Wed Aug 20 14:33:00 2025 A3: 0 Wed Aug 20 14:33:00 2025 A4: 0 Wed Aug 20 14:33:00 2025 A5: 0 Wed Aug 20 14:33:00 2025 A6: 1090927 Wed Aug 20 14:33:00 2025 skew 0.13, size 2.331e-13, alpha 1.558, combined = 4.181e-14 rroots = 2 Wed Aug 20 14:33:00 2025 Wed Aug 20 14:33:00 2025 commencing relation filtering Wed Aug 20 14:33:00 2025 setting target matrix density to 110.0 Wed Aug 20 14:33:00 2025 estimated available RAM is 128734.6 MB Wed Aug 20 14:33:00 2025 commencing duplicate removal, pass 1 Wed Aug 20 14:33:20 2025 error -15 reading relation 49328906 Wed Aug 20 14:33:45 2025 error -11 reading relation 110499346 Wed Aug 20 14:34:40 2025 error -11 reading relation 243567566 Wed Aug 20 14:34:43 2025 error -15 reading relation 250663017 Wed Aug 20 14:34:46 2025 skipped 28489 relations with b > 2^32 Wed Aug 20 14:34:46 2025 found 14296475 hash collisions in 257728327 relations Wed Aug 20 14:34:53 2025 added 1218437 free relations Wed Aug 20 14:34:53 2025 commencing duplicate removal, pass 2 Wed Aug 20 14:35:38 2025 found 0 duplicates and 258946764 unique relations Wed Aug 20 14:35:38 2025 memory use: 852.8 MB Wed Aug 20 14:35:38 2025 reading ideals above 720000 Wed Aug 20 14:35:38 2025 commencing singleton removal, initial pass Wed Aug 20 14:42:12 2025 memory use: 6024.0 MB Wed Aug 20 14:42:12 2025 reading all ideals from disk Wed Aug 20 14:42:14 2025 memory use: 12886.0 MB Wed Aug 20 14:42:25 2025 keeping 247750859 ideals with weight <= 200, target excess is 1324515 Wed Aug 20 14:42:39 2025 commencing in-memory singleton removal Wed Aug 20 14:42:43 2025 begin with 258946764 relations and 247750859 unique ideals Wed Aug 20 14:43:14 2025 reduce to 176593822 relations and 160470424 ideals in 19 passes Wed Aug 20 14:43:14 2025 max relations containing the same ideal: 166 Wed Aug 20 14:43:48 2025 removing 16001839 relations and 14001839 ideals in 2000000 cliques Wed Aug 20 14:43:51 2025 commencing in-memory singleton removal Wed Aug 20 14:43:54 2025 begin with 160591983 relations and 160470424 unique ideals Wed Aug 20 14:44:06 2025 reduce to 159340264 relations and 145196889 ideals in 10 passes Wed Aug 20 14:44:06 2025 max relations containing the same ideal: 154 Wed Aug 20 14:44:37 2025 removing 12050685 relations and 10050686 ideals in 2000000 cliques Wed Aug 20 14:44:40 2025 commencing in-memory singleton removal Wed Aug 20 14:44:42 2025 begin with 147289579 relations and 145196889 unique ideals Wed Aug 20 14:44:52 2025 reduce to 146484507 relations and 134330193 ideals in 9 passes Wed Aug 20 14:44:52 2025 max relations containing the same ideal: 147 Wed Aug 20 14:45:21 2025 removing 10846548 relations and 8846548 ideals in 2000000 cliques Wed Aug 20 14:45:23 2025 commencing in-memory singleton removal Wed Aug 20 14:45:25 2025 begin with 135637959 relations and 134330193 unique ideals Wed Aug 20 14:45:36 2025 reduce to 134928448 relations and 124764442 ideals in 10 passes Wed Aug 20 14:45:36 2025 max relations containing the same ideal: 139 Wed Aug 20 14:46:02 2025 removing 10238160 relations and 8238160 ideals in 2000000 cliques Wed Aug 20 14:46:05 2025 commencing in-memory singleton removal Wed Aug 20 14:46:07 2025 begin with 124690288 relations and 124764442 unique ideals Wed Aug 20 14:46:16 2025 reduce to 124002407 relations and 115828869 ideals in 10 passes Wed Aug 20 14:46:16 2025 max relations containing the same ideal: 130 Wed Aug 20 14:46:41 2025 removing 9882070 relations and 7882070 ideals in 2000000 cliques Wed Aug 20 14:46:43 2025 commencing in-memory singleton removal Wed Aug 20 14:46:45 2025 begin with 114120337 relations and 115828869 unique ideals Wed Aug 20 14:46:52 2025 reduce to 113426336 relations and 107242567 ideals in 8 passes Wed Aug 20 14:46:52 2025 max relations containing the same ideal: 123 Wed Aug 20 14:47:15 2025 removing 9672727 relations and 7672727 ideals in 2000000 cliques Wed Aug 20 14:47:17 2025 commencing in-memory singleton removal Wed Aug 20 14:47:18 2025 begin with 103753609 relations and 107242567 unique ideals Wed Aug 20 14:47:26 2025 reduce to 103027647 relations and 98832167 ideals in 10 passes Wed Aug 20 14:47:26 2025 max relations containing the same ideal: 114 Wed Aug 20 14:47:47 2025 removing 9560007 relations and 7560007 ideals in 2000000 cliques Wed Aug 20 14:47:49 2025 commencing in-memory singleton removal Wed Aug 20 14:47:50 2025 begin with 93467640 relations and 98832167 unique ideals Wed Aug 20 14:47:57 2025 reduce to 92688570 relations and 90479418 ideals in 9 passes Wed Aug 20 14:47:57 2025 max relations containing the same ideal: 108 Wed Aug 20 14:48:15 2025 removing 4021156 relations and 3348442 ideals in 672714 cliques Wed Aug 20 14:48:17 2025 commencing in-memory singleton removal Wed Aug 20 14:48:18 2025 begin with 88667414 relations and 90479418 unique ideals Wed Aug 20 14:48:23 2025 reduce to 88528327 relations and 86990952 ideals in 7 passes Wed Aug 20 14:48:23 2025 max relations containing the same ideal: 102 Wed Aug 20 14:48:48 2025 relations with 0 large ideals: 49844 Wed Aug 20 14:48:48 2025 relations with 1 large ideals: 19533 Wed Aug 20 14:48:48 2025 relations with 2 large ideals: 234673 Wed Aug 20 14:48:48 2025 relations with 3 large ideals: 1648356 Wed Aug 20 14:48:48 2025 relations with 4 large ideals: 6428398 Wed Aug 20 14:48:48 2025 relations with 5 large ideals: 15187005 Wed Aug 20 14:48:48 2025 relations with 6 large ideals: 22697193 Wed Aug 20 14:48:48 2025 relations with 7+ large ideals: 42263325 Wed Aug 20 14:48:48 2025 commencing 2-way merge Wed Aug 20 14:49:15 2025 reduce to 54728808 relation sets and 53191433 unique ideals Wed Aug 20 14:49:15 2025 commencing full merge Wed Aug 20 15:01:00 2025 memory use: 6813.4 MB Wed Aug 20 15:01:04 2025 found 24963328 cycles, need 24881633 Wed Aug 20 15:01:08 2025 weight of 24881633 cycles is about 2737435949 (110.02/cycle) Wed Aug 20 15:01:08 2025 distribution of cycle lengths: Wed Aug 20 15:01:08 2025 1 relations: 2316243 Wed Aug 20 15:01:08 2025 2 relations: 2100028 Wed Aug 20 15:01:08 2025 3 relations: 2035924 Wed Aug 20 15:01:08 2025 4 relations: 1916990 Wed Aug 20 15:01:08 2025 5 relations: 1826089 Wed Aug 20 15:01:08 2025 6 relations: 1715131 Wed Aug 20 15:01:08 2025 7 relations: 1607794 Wed Aug 20 15:01:08 2025 8 relations: 1492635 Wed Aug 20 15:01:08 2025 9 relations: 1365762 Wed Aug 20 15:01:08 2025 10+ relations: 8505037 Wed Aug 20 15:01:08 2025 heaviest cycle: 28 relations Wed Aug 20 15:01:12 2025 commencing cycle optimization Wed Aug 20 15:01:43 2025 start with 198019501 relations Wed Aug 20 15:05:28 2025 pruned 6924053 relations Wed Aug 20 15:05:28 2025 memory use: 5650.4 MB Wed Aug 20 15:05:28 2025 distribution of cycle lengths: Wed Aug 20 15:05:28 2025 1 relations: 2316243 Wed Aug 20 15:05:28 2025 2 relations: 2146830 Wed Aug 20 15:05:28 2025 3 relations: 2111462 Wed Aug 20 15:05:28 2025 4 relations: 1979924 Wed Aug 20 15:05:28 2025 5 relations: 1894407 Wed Aug 20 15:05:28 2025 6 relations: 1770075 Wed Aug 20 15:05:28 2025 7 relations: 1660526 Wed Aug 20 15:05:28 2025 8 relations: 1531081 Wed Aug 20 15:05:28 2025 9 relations: 1398397 Wed Aug 20 15:05:28 2025 10+ relations: 8072688 Wed Aug 20 15:05:28 2025 heaviest cycle: 28 relations Wed Aug 20 15:05:55 2025 RelProcTime: 1975 Wed Aug 20 15:05:55 2025 elapsed time 00:32:56 Wed Aug 20 15:11:27 2025 Wed Aug 20 15:11:27 2025 Wed Aug 20 15:11:27 2025 Msieve v. 1.54 (SVN 66ed352) Wed Aug 20 15:11:27 2025 random seeds: 19ea59aa 0889b63f Wed Aug 20 15:11:27 2025 MPI process 0 of 2 Wed Aug 20 15:11:27 2025 Using 8 OpenMP threads Wed Aug 20 15:11:27 2025 factoring 440055801143275952575781823442236485414073473924672563967998697372989348578225559712485680923862902332862800935020260038028464979405799020236933835052730229022346207742411674012785969898827902125106385122287154033009378401896948652737461503077 (243 digits) Wed Aug 20 15:11:28 2025 no P-1/P+1/ECM available, skipping Wed Aug 20 15:11:28 2025 commencing number field sieve (243-digit input) Wed Aug 20 15:11:28 2025 R0: 1838949628693507725929055201735283477573903 Wed Aug 20 15:11:28 2025 R1: -1 Wed Aug 20 15:11:28 2025 A0: -1 Wed Aug 20 15:11:28 2025 A1: 0 Wed Aug 20 15:11:28 2025 A2: 0 Wed Aug 20 15:11:28 2025 A3: 0 Wed Aug 20 15:11:28 2025 A4: 0 Wed Aug 20 15:11:28 2025 A5: 0 Wed Aug 20 15:11:28 2025 A6: 1090927 Wed Aug 20 15:11:28 2025 skew 0.13, size 2.331e-13, alpha 1.558, combined = 4.181e-14 rroots = 2 Wed Aug 20 15:11:28 2025 Wed Aug 20 15:11:28 2025 commencing linear algebra Wed Aug 20 15:11:28 2025 using VBITS=256 Wed Aug 20 15:11:28 2025 initialized process (0,0) of 1 x 2 grid Wed Aug 20 15:11:29 2025 read 24881633 cycles Wed Aug 20 15:11:59 2025 cycles contain 87442373 unique relations Wed Aug 20 15:12:34 2025 read 87442373 relations Wed Aug 20 15:12:51 2025 using 20 quadratic characters above 4294917295 Wed Aug 20 15:13:15 2025 building initial matrix Wed Aug 20 15:23:24 2025 memory use: 10989.2 MB Wed Aug 20 15:23:34 2025 read 24881633 cycles Wed Aug 20 15:23:36 2025 matrix is 24881456 x 24881633 (10918.7 MB) with weight 3097522313 (124.49/col) Wed Aug 20 15:23:36 2025 sparse part has weight 2588573790 (104.04/col) Wed Aug 20 15:25:58 2025 filtering completed in 2 passes Wed Aug 20 15:26:01 2025 matrix is 24879276 x 24879446 (10918.5 MB) with weight 3097453304 (124.50/col) Wed Aug 20 15:26:01 2025 sparse part has weight 2588551038 (104.04/col) Wed Aug 20 15:26:45 2025 matrix starts at (0, 0) Wed Aug 20 15:26:46 2025 matrix is 24879276 x 12439701 (5459.3 MB) with weight 1548734553 (124.50/col) Wed Aug 20 15:26:46 2025 sparse part has weight 1294275690 (104.04/col) Wed Aug 20 15:26:46 2025 saving the first 240 matrix rows for later Wed Aug 20 15:26:47 2025 matrix includes 256 packed rows Wed Aug 20 15:26:51 2025 matrix is 24879036 x 12439701 (5085.4 MB) with weight 1190055282 (95.67/col) Wed Aug 20 15:26:51 2025 sparse part has weight 1134060122 (91.16/col) Wed Aug 20 15:26:51 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Wed Aug 20 15:26:51 2025 selected card has CUDA arch 8.6 Wed Aug 20 15:27:43 2025 commencing Lanczos iteration Wed Aug 20 15:27:44 2025 memory use: 12970.5 MB Wed Aug 20 15:28:27 2025 linear algebra at 0.1%, ETA 9h27m Wed Aug 20 15:29:31 2025 checking every 40000 dimensions, checkpointing every 2640000 dimensions Thu Aug 21 01:14:36 2025 lanczos halted after 97475 iterations (dim = 24879031) Thu Aug 21 01:16:21 2025 recovered 30 nontrivial dependencies Thu Aug 21 01:16:21 2025 BLanczosTime: 36293 Thu Aug 21 01:16:21 2025 elapsed time 10:04:54 Thu Aug 21 11:02:02 2025 Thu Aug 21 11:02:02 2025 Thu Aug 21 11:02:02 2025 Msieve v. 1.54 (SVN 66ed352) Thu Aug 21 11:02:02 2025 random seeds: 66314565 33329bb3 Thu Aug 21 11:02:02 2025 Using 16 OpenMP threads Thu Aug 21 11:02:02 2025 factoring 440055801143275952575781823442236485414073473924672563967998697372989348578225559712485680923862902332862800935020260038028464979405799020236933835052730229022346207742411674012785969898827902125106385122287154033009378401896948652737461503077 (243 digits) Thu Aug 21 11:02:03 2025 no P-1/P+1/ECM available, skipping Thu Aug 21 11:02:03 2025 commencing number field sieve (243-digit input) Thu Aug 21 11:02:03 2025 R0: 1838949628693507725929055201735283477573903 Thu Aug 21 11:02:03 2025 R1: -1 Thu Aug 21 11:02:03 2025 A0: -1 Thu Aug 21 11:02:03 2025 A1: 0 Thu Aug 21 11:02:03 2025 A2: 0 Thu Aug 21 11:02:03 2025 A3: 0 Thu Aug 21 11:02:03 2025 A4: 0 Thu Aug 21 11:02:03 2025 A5: 0 Thu Aug 21 11:02:03 2025 A6: 1090927 Thu Aug 21 11:02:03 2025 skew 0.13, size 2.331e-13, alpha 1.558, combined = 4.181e-14 rroots = 2 Thu Aug 21 11:02:03 2025 Thu Aug 21 11:02:03 2025 commencing square root phase Thu Aug 21 11:02:03 2025 reading relations for dependency 1 Thu Aug 21 11:02:06 2025 read 12437307 cycles Thu Aug 21 11:02:35 2025 cycles contain 43718338 unique relations Thu Aug 21 11:04:03 2025 read 43718338 relations Thu Aug 21 11:05:56 2025 multiplying 43718338 relations Thu Aug 21 11:09:45 2025 multiply complete, coefficients have about 1946.92 million bits Thu Aug 21 11:09:47 2025 initial square root is modulo 541179721 Thu Aug 21 11:17:26 2025 GCD is 1, no factor found Thu Aug 21 11:17:26 2025 reading relations for dependency 2 Thu Aug 21 11:17:27 2025 read 12438213 cycles Thu Aug 21 11:17:41 2025 cycles contain 43715880 unique relations Thu Aug 21 11:18:01 2025 read 43715880 relations Thu Aug 21 11:19:39 2025 multiplying 43715880 relations Thu Aug 21 11:23:12 2025 multiply complete, coefficients have about 1946.80 million bits Thu Aug 21 11:23:14 2025 initial square root is modulo 540509647 Thu Aug 21 11:30:48 2025 GCD is 1, no factor found Thu Aug 21 11:30:48 2025 reading relations for dependency 3 Thu Aug 21 11:30:49 2025 read 12438765 cycles Thu Aug 21 11:31:04 2025 cycles contain 43730586 unique relations Thu Aug 21 11:31:21 2025 read 43730586 relations Thu Aug 21 11:33:04 2025 multiplying 43730586 relations Thu Aug 21 11:36:37 2025 multiply complete, coefficients have about 1947.46 million bits Thu Aug 21 11:36:39 2025 initial square root is modulo 544197541 Thu Aug 21 11:44:07 2025 GCD is N, no factor found Thu Aug 21 11:44:07 2025 reading relations for dependency 4 Thu Aug 21 11:44:08 2025 read 12444470 cycles Thu Aug 21 11:44:23 2025 cycles contain 43736596 unique relations Thu Aug 21 11:44:39 2025 read 43736596 relations Thu Aug 21 11:46:21 2025 multiplying 43736596 relations Thu Aug 21 11:49:52 2025 multiply complete, coefficients have about 1947.73 million bits Thu Aug 21 11:49:54 2025 initial square root is modulo 545707489 Thu Aug 21 11:57:45 2025 sqrtTime: 3342 Thu Aug 21 11:57:45 2025 p87 factor: 506155000497250134872683147712102992715965051435474284693735005203183973228364101538883 Thu Aug 21 11:57:45 2025 p156 factor: 869409174484025887927713516160486943799117583529218256922290681018944035797810777592067149587831114732464499494596383916570279452070207357823437754203672119 Thu Aug 21 11:57:45 2025 elapsed time 00:55:43