Wed Jun 3 23:24:46 2026 Wed Jun 3 23:24:46 2026 Wed Jun 3 23:24:46 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Jun 3 23:24:46 2026 random seeds: 44c037f4 f77b920a Wed Jun 3 23:24:46 2026 MPI process 0 of 1 Wed Jun 3 23:24:46 2026 Using 32 OpenMP threads Wed Jun 3 23:24:46 2026 factoring 2937367183844888002915493600589563978480782572695686921428200642725929859813390866045045520082038893680643698566076093256244162077877862487308957204632130778266120810081 (169 digits) Wed Jun 3 23:24:46 2026 searching for 15-digit factors Wed Jun 3 23:24:47 2026 commencing number field sieve (169-digit input) Wed Jun 3 23:24:47 2026 R0: -492382597809694454108080022267860 Wed Jun 3 23:24:47 2026 R1: 4425614247120034000758193 Wed Jun 3 23:24:47 2026 A0: 29610271807983756525429191047098364352871 Wed Jun 3 23:24:47 2026 A1: 4233834745542480005825278713720779 Wed Jun 3 23:24:47 2026 A2: 1153865549657628581091493581 Wed Jun 3 23:24:47 2026 A3: -12665705655673665911 Wed Jun 3 23:24:47 2026 A4: -11105599152660 Wed Jun 3 23:24:47 2026 A5: 404460 Wed Jun 3 23:24:47 2026 skew 14867448.56, size 2.469e-16, alpha -7.576, combined = 4.921e-13 rroots = 3 Wed Jun 3 23:24:47 2026 Wed Jun 3 23:24:47 2026 commencing relation filtering Wed Jun 3 23:24:47 2026 setting target matrix density to 130.0 Wed Jun 3 23:24:47 2026 estimated available RAM is 257736.5 MB Wed Jun 3 23:24:47 2026 commencing duplicate removal, pass 1 Wed Jun 3 23:25:13 2026 error -1 reading relation 13244217 Wed Jun 3 23:26:27 2026 error -1 reading relation 47399827 Wed Jun 3 23:26:27 2026 error -1 reading relation 47401217 Wed Jun 3 23:26:28 2026 error -1 reading relation 47993394 Wed Jun 3 23:26:29 2026 error -1 reading relation 48890674 Wed Jun 3 23:26:29 2026 error -1 reading relation 48965870 Wed Jun 3 23:29:00 2026 error -1 reading relation 132172199 Wed Jun 3 23:30:26 2026 error -1 reading relation 158943702 Wed Jun 3 23:30:41 2026 error -1 reading relation 165351520 Wed Jun 3 23:32:45 2026 error -1 reading relation 219623995 Wed Jun 3 23:33:00 2026 error -1 reading relation 225538890 Wed Jun 3 23:33:28 2026 error -1 reading relation 237354878 Wed Jun 3 23:33:59 2026 error -1 reading relation 249864818 Wed Jun 3 23:34:12 2026 error -1 reading relation 255411386 Wed Jun 3 23:34:48 2026 error -5 reading relation 272200292 Wed Jun 3 23:34:59 2026 error -1 reading relation 279524982 Wed Jun 3 23:35:20 2026 error -1 reading relation 294076998 Wed Jun 3 23:35:21 2026 error -1 reading relation 294564863 Wed Jun 3 23:35:35 2026 error -1 reading relation 304319382 Wed Jun 3 23:35:35 2026 error -1 reading relation 304385853 Wed Jun 3 23:35:47 2026 error -1 reading relation 312482801 Wed Jun 3 23:36:12 2026 error -1 reading relation 329892525 Wed Jun 3 23:36:16 2026 skipped 241 malformed relations Wed Jun 3 23:36:16 2026 found 65689120 hash collisions in 332249940 relations Wed Jun 3 23:36:38 2026 added 122467 free relations Wed Jun 3 23:36:38 2026 commencing duplicate removal, pass 2 Wed Jun 3 23:43:36 2026 found 68986668 duplicates and 263385739 unique relations Wed Jun 3 23:43:36 2026 memory use: 1705.5 MB Wed Jun 3 23:43:36 2026 reading ideals above 720000 Wed Jun 3 23:43:36 2026 commencing singleton removal, initial pass Wed Jun 3 23:57:42 2026 memory use: 6024.0 MB Wed Jun 3 23:57:42 2026 reading all ideals from disk Wed Jun 3 23:57:47 2026 memory use: 12154.2 MB Wed Jun 3 23:58:17 2026 keeping 242907245 ideals with weight <= 200, target excess is 1255043 Wed Jun 3 23:58:54 2026 commencing in-memory singleton removal Wed Jun 3 23:58:58 2026 begin with 263385739 relations and 242907245 unique ideals Wed Jun 3 23:59:11 2026 reduce to 160132604 relations and 128339186 ideals in 15 passes Wed Jun 3 23:59:11 2026 max relations containing the same ideal: 153 Thu Jun 4 00:00:06 2026 removing 11984556 relations and 9984556 ideals in 2000000 cliques Thu Jun 4 00:00:14 2026 commencing in-memory singleton removal Thu Jun 4 00:00:16 2026 begin with 148148048 relations and 128339186 unique ideals Thu Jun 4 00:00:22 2026 reduce to 147448805 relations and 117643839 ideals in 10 passes Thu Jun 4 00:00:22 2026 max relations containing the same ideal: 145 Thu Jun 4 00:01:12 2026 removing 9078205 relations and 7078205 ideals in 2000000 cliques Thu Jun 4 00:01:16 2026 commencing in-memory singleton removal Thu Jun 4 00:01:18 2026 begin with 138370600 relations and 117643839 unique ideals Thu Jun 4 00:01:22 2026 reduce to 137913495 relations and 110102079 ideals in 7 passes Thu Jun 4 00:01:22 2026 max relations containing the same ideal: 138 Thu Jun 4 00:02:09 2026 removing 8188393 relations and 6188393 ideals in 2000000 cliques Thu Jun 4 00:02:13 2026 commencing in-memory singleton removal Thu Jun 4 00:02:15 2026 begin with 129725102 relations and 110102079 unique ideals Thu Jun 4 00:02:19 2026 reduce to 129324365 relations and 103507139 ideals in 8 passes Thu Jun 4 00:02:19 2026 max relations containing the same ideal: 133 Thu Jun 4 00:03:44 2026 removing 7724804 relations and 5724804 ideals in 2000000 cliques Thu Jun 4 00:03:50 2026 commencing in-memory singleton removal Thu Jun 4 00:03:52 2026 begin with 121599561 relations and 103507139 unique ideals Thu Jun 4 00:03:56 2026 reduce to 121222035 relations and 97399232 ideals in 7 passes Thu Jun 4 00:03:56 2026 max relations containing the same ideal: 127 Thu Jun 4 00:04:49 2026 removing 7434238 relations and 5434238 ideals in 2000000 cliques Thu Jun 4 00:04:55 2026 commencing in-memory singleton removal Thu Jun 4 00:04:57 2026 begin with 113787797 relations and 97399232 unique ideals Thu Jun 4 00:05:03 2026 reduce to 113420138 relations and 91591699 ideals in 7 passes Thu Jun 4 00:05:03 2026 max relations containing the same ideal: 124 Thu Jun 4 00:05:52 2026 removing 7238598 relations and 5238598 ideals in 2000000 cliques Thu Jun 4 00:05:57 2026 commencing in-memory singleton removal Thu Jun 4 00:05:58 2026 begin with 106181540 relations and 91591699 unique ideals Thu Jun 4 00:06:05 2026 reduce to 105813143 relations and 85978801 ideals in 7 passes Thu Jun 4 00:06:05 2026 max relations containing the same ideal: 120 Thu Jun 4 00:06:51 2026 removing 7111614 relations and 5111614 ideals in 2000000 cliques Thu Jun 4 00:06:54 2026 commencing in-memory singleton removal Thu Jun 4 00:06:56 2026 begin with 98701529 relations and 85978801 unique ideals Thu Jun 4 00:07:00 2026 reduce to 98325863 relations and 80484947 ideals in 7 passes Thu Jun 4 00:07:00 2026 max relations containing the same ideal: 116 Thu Jun 4 00:07:32 2026 removing 7024817 relations and 5024817 ideals in 2000000 cliques Thu Jun 4 00:07:35 2026 commencing in-memory singleton removal Thu Jun 4 00:07:36 2026 begin with 91301046 relations and 80484947 unique ideals Thu Jun 4 00:07:40 2026 reduce to 90910686 relations and 75062658 ideals in 7 passes Thu Jun 4 00:07:40 2026 max relations containing the same ideal: 106 Thu Jun 4 00:08:10 2026 removing 6966724 relations and 4966724 ideals in 2000000 cliques Thu Jun 4 00:08:14 2026 commencing in-memory singleton removal Thu Jun 4 00:08:15 2026 begin with 83943962 relations and 75062658 unique ideals Thu Jun 4 00:08:18 2026 reduce to 83533254 relations and 69677169 ideals in 7 passes Thu Jun 4 00:08:18 2026 max relations containing the same ideal: 99 Thu Jun 4 00:08:46 2026 removing 6942539 relations and 4942539 ideals in 2000000 cliques Thu Jun 4 00:08:50 2026 commencing in-memory singleton removal Thu Jun 4 00:08:50 2026 begin with 76590715 relations and 69677169 unique ideals Thu Jun 4 00:08:53 2026 reduce to 76148042 relations and 64282531 ideals in 8 passes Thu Jun 4 00:08:53 2026 max relations containing the same ideal: 93 Thu Jun 4 00:09:18 2026 removing 6947543 relations and 4947543 ideals in 2000000 cliques Thu Jun 4 00:09:22 2026 commencing in-memory singleton removal Thu Jun 4 00:09:22 2026 begin with 69200499 relations and 64282531 unique ideals Thu Jun 4 00:09:24 2026 reduce to 68715627 relations and 58839048 ideals in 8 passes Thu Jun 4 00:09:24 2026 max relations containing the same ideal: 88 Thu Jun 4 00:09:49 2026 removing 6981486 relations and 4981486 ideals in 2000000 cliques Thu Jun 4 00:09:51 2026 commencing in-memory singleton removal Thu Jun 4 00:09:52 2026 begin with 61734141 relations and 58839048 unique ideals Thu Jun 4 00:09:54 2026 reduce to 61189598 relations and 53299162 ideals in 8 passes Thu Jun 4 00:09:54 2026 max relations containing the same ideal: 82 Thu Jun 4 00:10:15 2026 removing 7049122 relations and 5049122 ideals in 2000000 cliques Thu Jun 4 00:10:18 2026 commencing in-memory singleton removal Thu Jun 4 00:10:18 2026 begin with 54140476 relations and 53299162 unique ideals Thu Jun 4 00:10:21 2026 reduce to 53511452 relations and 47603327 ideals in 9 passes Thu Jun 4 00:10:21 2026 max relations containing the same ideal: 75 Thu Jun 4 00:10:39 2026 removing 7152875 relations and 5152875 ideals in 2000000 cliques Thu Jun 4 00:10:42 2026 commencing in-memory singleton removal Thu Jun 4 00:10:42 2026 begin with 46358577 relations and 47603327 unique ideals Thu Jun 4 00:10:44 2026 reduce to 45606372 relations and 41674336 ideals in 9 passes Thu Jun 4 00:10:44 2026 max relations containing the same ideal: 66 Thu Jun 4 00:11:00 2026 removing 7314769 relations and 5314769 ideals in 2000000 cliques Thu Jun 4 00:11:02 2026 commencing in-memory singleton removal Thu Jun 4 00:11:02 2026 begin with 38291603 relations and 41674336 unique ideals Thu Jun 4 00:11:04 2026 reduce to 37340671 relations and 35372730 ideals in 10 passes Thu Jun 4 00:11:04 2026 max relations containing the same ideal: 58 Thu Jun 4 00:11:20 2026 removing 2625492 relations and 2113401 ideals in 512091 cliques Thu Jun 4 00:11:22 2026 commencing in-memory singleton removal Thu Jun 4 00:11:23 2026 begin with 34715179 relations and 35372730 unique ideals Thu Jun 4 00:11:25 2026 reduce to 34577683 relations and 33120111 ideals in 8 passes Thu Jun 4 00:11:25 2026 max relations containing the same ideal: 56 Thu Jun 4 00:11:47 2026 relations with 0 large ideals: 4446 Thu Jun 4 00:11:47 2026 relations with 1 large ideals: 52192 Thu Jun 4 00:11:47 2026 relations with 2 large ideals: 602262 Thu Jun 4 00:11:47 2026 relations with 3 large ideals: 2825690 Thu Jun 4 00:11:47 2026 relations with 4 large ideals: 6922741 Thu Jun 4 00:11:47 2026 relations with 5 large ideals: 9808026 Thu Jun 4 00:11:47 2026 relations with 6 large ideals: 8416170 Thu Jun 4 00:11:47 2026 relations with 7+ large ideals: 5946156 Thu Jun 4 00:11:47 2026 commencing 2-way merge Thu Jun 4 00:12:08 2026 reduce to 20946640 relation sets and 19489068 unique ideals Thu Jun 4 00:12:08 2026 commencing full merge Thu Jun 4 00:21:40 2026 memory use: 2337.2 MB Thu Jun 4 00:21:41 2026 found 8989066 cycles, need 8921268 Thu Jun 4 00:21:44 2026 weight of 8921268 cycles is about 1160154605 (130.04/cycle) Thu Jun 4 00:21:44 2026 distribution of cycle lengths: Thu Jun 4 00:21:44 2026 1 relations: 491058 Thu Jun 4 00:21:44 2026 2 relations: 547397 Thu Jun 4 00:21:44 2026 3 relations: 574154 Thu Jun 4 00:21:44 2026 4 relations: 568005 Thu Jun 4 00:21:44 2026 5 relations: 575562 Thu Jun 4 00:21:44 2026 6 relations: 571874 Thu Jun 4 00:21:44 2026 7 relations: 564779 Thu Jun 4 00:21:44 2026 8 relations: 552289 Thu Jun 4 00:21:44 2026 9 relations: 526245 Thu Jun 4 00:21:44 2026 10+ relations: 3949905 Thu Jun 4 00:21:44 2026 heaviest cycle: 28 relations Thu Jun 4 00:21:47 2026 commencing cycle optimization Thu Jun 4 00:22:02 2026 start with 84073600 relations Thu Jun 4 00:25:48 2026 pruned 3661722 relations Thu Jun 4 00:25:49 2026 memory use: 2259.6 MB Thu Jun 4 00:25:49 2026 distribution of cycle lengths: Thu Jun 4 00:25:49 2026 1 relations: 491058 Thu Jun 4 00:25:49 2026 2 relations: 561105 Thu Jun 4 00:25:49 2026 3 relations: 596822 Thu Jun 4 00:25:49 2026 4 relations: 590651 Thu Jun 4 00:25:49 2026 5 relations: 601583 Thu Jun 4 00:25:49 2026 6 relations: 597469 Thu Jun 4 00:25:49 2026 7 relations: 593675 Thu Jun 4 00:25:49 2026 8 relations: 577579 Thu Jun 4 00:25:49 2026 9 relations: 551916 Thu Jun 4 00:25:49 2026 10+ relations: 3759410 Thu Jun 4 00:25:49 2026 heaviest cycle: 28 relations Thu Jun 4 00:26:00 2026 RelProcTime: 3673 Thu Jun 4 00:26:00 2026 Thu Jun 4 00:26:00 2026 commencing linear algebra Thu Jun 4 00:26:00 2026 using VBITS=256 Thu Jun 4 00:26:00 2026 stopping after matrix build Thu Jun 4 00:26:00 2026 initialized process (0,0) of 1 x 1 grid Thu Jun 4 00:26:01 2026 read 8921268 cycles Thu Jun 4 00:26:15 2026 cycles contain 33652562 unique relations Thu Jun 4 00:31:25 2026 read 33652562 relations Thu Jun 4 00:31:28 2026 using 20 quadratic characters above 4294917295 Thu Jun 4 00:31:33 2026 building initial matrix Thu Jun 4 00:42:31 2026 memory use: 4536.7 MB Thu Jun 4 00:42:37 2026 read 8921268 cycles Thu Jun 4 00:42:39 2026 matrix is 8921090 x 8921268 (4518.3 MB) with weight 1364598430 (152.96/col) Thu Jun 4 00:42:39 2026 sparse part has weight 1077390362 (120.77/col) Thu Jun 4 00:44:28 2026 filtering completed in 2 passes Thu Jun 4 00:44:29 2026 matrix is 8920543 x 8920720 (4518.2 MB) with weight 1364567657 (152.97/col) Thu Jun 4 00:44:29 2026 sparse part has weight 1077378310 (120.77/col) Thu Jun 4 00:45:20 2026 BLanczosTime: 1160 Thu Jun 4 00:45:20 2026 elapsed time 01:20:34 Thu Jun 4 02:02:18 2026 Thu Jun 4 02:02:18 2026 Thu Jun 4 02:02:18 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Jun 4 02:02:18 2026 random seeds: e3868d0f aa747011 Thu Jun 4 02:02:18 2026 MPI process 0 of 1 Thu Jun 4 02:02:18 2026 Using 64 OpenMP threads Thu Jun 4 02:02:18 2026 factoring 2937367183844888002915493600589563978480782572695686921428200642725929859813390866045045520082038893680643698566076093256244162077877862487308957204632130778266120810081 (169 digits) Thu Jun 4 02:02:19 2026 searching for 15-digit factors Thu Jun 4 02:02:20 2026 commencing number field sieve (169-digit input) Thu Jun 4 02:02:20 2026 R0: -492382597809694454108080022267860 Thu Jun 4 02:02:20 2026 R1: 4425614247120034000758193 Thu Jun 4 02:02:20 2026 A0: 29610271807983756525429191047098364352871 Thu Jun 4 02:02:20 2026 A1: 4233834745542480005825278713720779 Thu Jun 4 02:02:20 2026 A2: 1153865549657628581091493581 Thu Jun 4 02:02:20 2026 A3: -12665705655673665911 Thu Jun 4 02:02:20 2026 A4: -11105599152660 Thu Jun 4 02:02:20 2026 A5: 404460 Thu Jun 4 02:02:20 2026 skew 14867448.56, size 2.469e-16, alpha -7.576, combined = 4.921e-13 rroots = 3 Thu Jun 4 02:02:20 2026 Thu Jun 4 02:02:20 2026 commencing linear algebra Thu Jun 4 02:02:20 2026 using VBITS=256 Thu Jun 4 02:02:20 2026 skipping matrix build Thu Jun 4 02:02:20 2026 initialized process (0,0) of 1 x 1 grid Thu Jun 4 02:02:25 2026 matrix starts at (0, 0) Thu Jun 4 02:02:27 2026 matrix is 8920543 x 8920720 (4518.2 MB) with weight 1364567657 (152.97/col) Thu Jun 4 02:02:27 2026 sparse part has weight 1077378310 (120.77/col) Thu Jun 4 02:02:27 2026 saving the first 240 matrix rows for later Thu Jun 4 02:02:29 2026 matrix includes 256 packed rows Thu Jun 4 02:02:32 2026 matrix is 8920303 x 8920720 (4044.1 MB) with weight 980214486 (109.88/col) Thu Jun 4 02:02:32 2026 sparse part has weight 917392188 (102.84/col) Thu Jun 4 02:02:32 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Thu Jun 4 02:02:52 2026 commencing Lanczos iteration (64 threads) Thu Jun 4 02:02:52 2026 memory use: 5708.7 MB Thu Jun 4 02:04:03 2026 linear algebra at 0.3%, ETA 5h38m Thu Jun 4 02:05:49 2026 checking every 20000 dimensions, checkpointing every 1580000 dimensions Thu Jun 4 07:42:29 2026 lanczos halted after 34951 iterations (dim = 8920303) Thu Jun 4 07:42:57 2026 recovered 29 nontrivial dependencies Thu Jun 4 07:42:57 2026 BLanczosTime: 20437 Thu Jun 4 07:42:57 2026 Thu Jun 4 07:42:57 2026 commencing square root phase Thu Jun 4 07:42:57 2026 handling dependencies 1 to 64 Thu Jun 4 07:42:57 2026 reading relations for dependency 1 Thu Jun 4 07:42:58 2026 read 4460171 cycles Thu Jun 4 07:43:05 2026 cycles contain 16825586 unique relations Thu Jun 4 07:50:32 2026 read 16825586 relations Thu Jun 4 07:53:11 2026 multiplying 16825586 relations Thu Jun 4 07:56:30 2026 multiply complete, coefficients have about 922.47 million bits Thu Jun 4 07:56:35 2026 initial square root is modulo 188754437 Thu Jun 4 08:08:33 2026 GCD is 1, no factor found Thu Jun 4 08:08:33 2026 reading relations for dependency 2 Thu Jun 4 08:08:35 2026 read 4461234 cycles Thu Jun 4 08:08:55 2026 cycles contain 16827100 unique relations Thu Jun 4 08:16:52 2026 read 16827100 relations Thu Jun 4 08:19:35 2026 multiplying 16827100 relations Thu Jun 4 08:22:50 2026 multiply complete, coefficients have about 922.55 million bits Thu Jun 4 08:22:55 2026 initial square root is modulo 189078949 Thu Jun 4 08:34:49 2026 sqrtTime: 3112 Thu Jun 4 08:34:49 2026 p80 factor: 23022643621237367046735504262429769580303324049994711958051224168630793440901713 Thu Jun 4 08:34:49 2026 p90 factor: 127586007591903873700179609454553742717597896785569816325416879801334115018163131083185937 Thu Jun 4 08:34:49 2026 elapsed time 06:32:31