Mon May 18 01:03:32 2026 Mon May 18 01:03:32 2026 Mon May 18 01:03:32 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon May 18 01:03:32 2026 random seeds: 5c39fe67 f61d3b10 Mon May 18 01:03:32 2026 MPI process 0 of 1 Mon May 18 01:03:32 2026 Using 32 OpenMP threads Mon May 18 01:03:32 2026 factoring 912164684989122178973785973547196979841184809106209601974336332950593999596012930780971768972663671897203588538435992975184193826316743191932682302616796554060557112650659 (171 digits) Mon May 18 01:03:33 2026 searching for 15-digit factors Mon May 18 01:03:34 2026 commencing number field sieve (171-digit input) Mon May 18 01:03:34 2026 R0: 944176193211415478765826885583652 Mon May 18 01:03:34 2026 R1: 103070871884935762981494661 Mon May 18 01:03:34 2026 A0: 14961695455482500354970846599600206322205 Mon May 18 01:03:34 2026 A1: 9486843527004285449034202142022662 Mon May 18 01:03:34 2026 A2: -708068382968142400016495580 Mon May 18 01:03:34 2026 A3: -389905007686755366722 Mon May 18 01:03:34 2026 A4: 19020876524655 Mon May 18 01:03:34 2026 A5: 1039500 Mon May 18 01:03:34 2026 skew 7104556.64, size 1.309e-16, alpha -7.086, combined = 3.436e-13 rroots = 5 Mon May 18 01:03:34 2026 Mon May 18 01:03:34 2026 commencing relation filtering Mon May 18 01:03:34 2026 setting target matrix density to 120.0 Mon May 18 01:03:34 2026 estimated available RAM is 257736.5 MB Mon May 18 01:03:34 2026 commencing duplicate removal, pass 1 Mon May 18 01:04:42 2026 error -1 reading relation 26928857 Mon May 18 01:04:46 2026 error -1 reading relation 28608177 Mon May 18 01:06:01 2026 error -1 reading relation 58516533 Mon May 18 01:07:35 2026 error -1 reading relation 95784823 Mon May 18 01:08:21 2026 error -1 reading relation 113534078 Mon May 18 01:08:38 2026 error -1 reading relation 119872005 Mon May 18 01:08:55 2026 error -1 reading relation 126143622 Mon May 18 01:08:55 2026 error -1 reading relation 126317210 Mon May 18 01:09:16 2026 error -1 reading relation 134048042 Mon May 18 01:09:31 2026 error -15 reading relation 139966854 Mon May 18 01:09:34 2026 error -1 reading relation 141456434 Mon May 18 01:09:46 2026 error -1 reading relation 146268334 Mon May 18 01:09:48 2026 error -1 reading relation 147035009 Mon May 18 01:10:24 2026 error -1 reading relation 161289689 Mon May 18 01:11:21 2026 error -1 reading relation 184021956 Mon May 18 01:11:25 2026 error -1 reading relation 185390069 Mon May 18 01:14:16 2026 error -1 reading relation 251745399 Mon May 18 01:14:48 2026 error -1 reading relation 263811937 Mon May 18 01:15:28 2026 error -1 reading relation 278878973 Mon May 18 01:15:29 2026 error -1 reading relation 279166540 Mon May 18 01:15:54 2026 error -1 reading relation 288833600 Mon May 18 01:15:58 2026 error -1 reading relation 290590609 Mon May 18 01:16:34 2026 error -1 reading relation 304101003 Mon May 18 01:16:53 2026 skipped 3 relations with composite factors Mon May 18 01:16:53 2026 skipped 172 malformed relations Mon May 18 01:16:53 2026 found 67349477 hash collisions in 311450710 relations Mon May 18 01:17:33 2026 added 121836 free relations Mon May 18 01:17:33 2026 commencing duplicate removal, pass 2 Mon May 18 01:29:06 2026 found 68193608 duplicates and 243378938 unique relations Mon May 18 01:29:06 2026 memory use: 1449.5 MB Mon May 18 01:29:06 2026 reading ideals above 720000 Mon May 18 01:29:06 2026 commencing singleton removal, initial pass Mon May 18 02:08:56 2026 memory use: 6024.0 MB Mon May 18 02:08:57 2026 reading all ideals from disk Mon May 18 02:09:05 2026 memory use: 11367.7 MB Mon May 18 02:10:19 2026 keeping 238697171 ideals with weight <= 200, target excess is 1177557 Mon May 18 02:11:45 2026 commencing in-memory singleton removal Mon May 18 02:11:53 2026 begin with 243378938 relations and 238697171 unique ideals Mon May 18 02:12:21 2026 reduce to 133646861 relations and 115485393 ideals in 15 passes Mon May 18 02:12:21 2026 max relations containing the same ideal: 142 Mon May 18 02:14:16 2026 removing 13473809 relations and 11473809 ideals in 2000000 cliques Mon May 18 02:14:25 2026 commencing in-memory singleton removal Mon May 18 02:14:28 2026 begin with 120173052 relations and 115485393 unique ideals Mon May 18 02:14:38 2026 reduce to 119056622 relations and 102873123 ideals in 9 passes Mon May 18 02:14:38 2026 max relations containing the same ideal: 131 Mon May 18 02:16:20 2026 removing 10219567 relations and 8219567 ideals in 2000000 cliques Mon May 18 02:16:29 2026 commencing in-memory singleton removal Mon May 18 02:16:31 2026 begin with 108837055 relations and 102873123 unique ideals Mon May 18 02:16:41 2026 reduce to 108091986 relations and 93895362 ideals in 10 passes Mon May 18 02:16:41 2026 max relations containing the same ideal: 124 Mon May 18 02:18:33 2026 removing 9247934 relations and 7247934 ideals in 2000000 cliques Mon May 18 02:18:41 2026 commencing in-memory singleton removal Mon May 18 02:18:43 2026 begin with 98844052 relations and 93895362 unique ideals Mon May 18 02:18:51 2026 reduce to 98171600 relations and 85962974 ideals in 9 passes Mon May 18 02:18:51 2026 max relations containing the same ideal: 115 Mon May 18 02:20:22 2026 removing 8770141 relations and 6770141 ideals in 2000000 cliques Mon May 18 02:20:32 2026 commencing in-memory singleton removal Mon May 18 02:20:34 2026 begin with 89401459 relations and 85962974 unique ideals Mon May 18 02:20:41 2026 reduce to 88738116 relations and 78517069 ideals in 9 passes Mon May 18 02:20:41 2026 max relations containing the same ideal: 108 Mon May 18 02:22:21 2026 removing 8499377 relations and 6499377 ideals in 2000000 cliques Mon May 18 02:22:28 2026 commencing in-memory singleton removal Mon May 18 02:22:30 2026 begin with 80238739 relations and 78517069 unique ideals Mon May 18 02:22:35 2026 reduce to 79546208 relations and 71310992 ideals in 8 passes Mon May 18 02:22:35 2026 max relations containing the same ideal: 102 Mon May 18 02:23:48 2026 removing 8355862 relations and 6355862 ideals in 2000000 cliques Mon May 18 02:23:54 2026 commencing in-memory singleton removal Mon May 18 02:23:55 2026 begin with 71190346 relations and 71310992 unique ideals Mon May 18 02:24:01 2026 reduce to 70448948 relations and 64197035 ideals in 9 passes Mon May 18 02:24:01 2026 max relations containing the same ideal: 94 Mon May 18 02:25:07 2026 removing 8308258 relations and 6308258 ideals in 2000000 cliques Mon May 18 02:25:13 2026 commencing in-memory singleton removal Mon May 18 02:25:15 2026 begin with 62140690 relations and 64197035 unique ideals Mon May 18 02:25:19 2026 reduce to 61306433 relations and 57033730 ideals in 10 passes Mon May 18 02:25:19 2026 max relations containing the same ideal: 87 Mon May 18 02:26:15 2026 removing 8340949 relations and 6340949 ideals in 2000000 cliques Mon May 18 02:26:20 2026 commencing in-memory singleton removal Mon May 18 02:26:21 2026 begin with 52965484 relations and 57033730 unique ideals Mon May 18 02:26:25 2026 reduce to 51984736 relations and 49683665 ideals in 9 passes Mon May 18 02:26:25 2026 max relations containing the same ideal: 74 Mon May 18 02:27:11 2026 removing 4723167 relations and 3788063 ideals in 935104 cliques Mon May 18 02:27:15 2026 commencing in-memory singleton removal Mon May 18 02:27:16 2026 begin with 47261569 relations and 49683665 unique ideals Mon May 18 02:27:19 2026 reduce to 46919595 relations and 45548110 ideals in 9 passes Mon May 18 02:27:19 2026 max relations containing the same ideal: 70 Mon May 18 02:28:13 2026 relations with 0 large ideals: 4250 Mon May 18 02:28:13 2026 relations with 1 large ideals: 33101 Mon May 18 02:28:13 2026 relations with 2 large ideals: 437331 Mon May 18 02:28:13 2026 relations with 3 large ideals: 2401476 Mon May 18 02:28:13 2026 relations with 4 large ideals: 7044224 Mon May 18 02:28:13 2026 relations with 5 large ideals: 12136155 Mon May 18 02:28:13 2026 relations with 6 large ideals: 12798104 Mon May 18 02:28:13 2026 relations with 7+ large ideals: 12064954 Mon May 18 02:28:13 2026 commencing 2-way merge Mon May 18 02:29:13 2026 reduce to 28314344 relation sets and 26942859 unique ideals Mon May 18 02:29:13 2026 commencing full merge Mon May 18 02:49:43 2026 memory use: 3178.4 MB Mon May 18 02:49:48 2026 found 12340542 cycles, need 12285059 Mon May 18 02:49:55 2026 weight of 12285059 cycles is about 1474528506 (120.03/cycle) Mon May 18 02:49:55 2026 distribution of cycle lengths: Mon May 18 02:49:55 2026 1 relations: 901115 Mon May 18 02:49:55 2026 2 relations: 879863 Mon May 18 02:49:55 2026 3 relations: 892728 Mon May 18 02:49:55 2026 4 relations: 859783 Mon May 18 02:49:55 2026 5 relations: 850541 Mon May 18 02:49:55 2026 6 relations: 817347 Mon May 18 02:49:55 2026 7 relations: 787133 Mon May 18 02:49:55 2026 8 relations: 747852 Mon May 18 02:49:55 2026 9 relations: 710507 Mon May 18 02:49:55 2026 10+ relations: 4838190 Mon May 18 02:49:55 2026 heaviest cycle: 28 relations Mon May 18 02:50:01 2026 commencing cycle optimization Mon May 18 02:51:01 2026 start with 107230991 relations Mon May 18 02:58:47 2026 pruned 4119324 relations Mon May 18 02:58:47 2026 memory use: 2998.3 MB Mon May 18 02:58:47 2026 distribution of cycle lengths: Mon May 18 02:58:47 2026 1 relations: 901115 Mon May 18 02:58:47 2026 2 relations: 902052 Mon May 18 02:58:47 2026 3 relations: 927556 Mon May 18 02:58:47 2026 4 relations: 889846 Mon May 18 02:58:47 2026 5 relations: 885116 Mon May 18 02:58:47 2026 6 relations: 848158 Mon May 18 02:58:47 2026 7 relations: 817631 Mon May 18 02:58:47 2026 8 relations: 775226 Mon May 18 02:58:47 2026 9 relations: 734221 Mon May 18 02:58:47 2026 10+ relations: 4604138 Mon May 18 02:58:47 2026 heaviest cycle: 28 relations Mon May 18 02:59:28 2026 RelProcTime: 6954 Mon May 18 02:59:29 2026 Mon May 18 02:59:29 2026 commencing linear algebra Mon May 18 02:59:29 2026 using VBITS=256 Mon May 18 02:59:29 2026 stopping after matrix build Mon May 18 02:59:29 2026 initialized process (0,0) of 1 x 1 grid Mon May 18 02:59:32 2026 read 12285059 cycles Mon May 18 03:00:24 2026 cycles contain 45882557 unique relations Mon May 18 03:07:43 2026 read 45882557 relations Mon May 18 03:07:51 2026 using 20 quadratic characters above 4294917295 Mon May 18 03:07:59 2026 building initial matrix Mon May 18 03:31:15 2026 memory use: 6107.8 MB Mon May 18 03:31:33 2026 read 12285059 cycles Mon May 18 03:31:37 2026 matrix is 12284881 x 12285059 (5785.6 MB) with weight 1756414177 (142.97/col) Mon May 18 03:31:37 2026 sparse part has weight 1381526460 (112.46/col) Mon May 18 03:37:06 2026 filtering completed in 2 passes Mon May 18 03:37:11 2026 matrix is 12283828 x 12284005 (5785.5 MB) with weight 1756362683 (142.98/col) Mon May 18 03:37:11 2026 sparse part has weight 1381509511 (112.46/col) Mon May 18 03:38:50 2026 BLanczosTime: 2361 Mon May 18 03:38:50 2026 elapsed time 02:35:18 Mon May 18 07:56:43 2026 Mon May 18 07:56:43 2026 Mon May 18 07:56:43 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon May 18 07:56:43 2026 random seeds: e9f9ae0e 9982ec39 Mon May 18 07:56:43 2026 MPI process 0 of 1 Mon May 18 07:56:43 2026 Using 64 OpenMP threads Mon May 18 07:56:43 2026 factoring 912164684989122178973785973547196979841184809106209601974336332950593999596012930780971768972663671897203588538435992975184193826316743191932682302616796554060557112650659 (171 digits) Mon May 18 07:56:44 2026 searching for 15-digit factors Mon May 18 07:56:44 2026 commencing number field sieve (171-digit input) Mon May 18 07:56:44 2026 R0: 944176193211415478765826885583652 Mon May 18 07:56:44 2026 R1: 103070871884935762981494661 Mon May 18 07:56:44 2026 A0: 14961695455482500354970846599600206322205 Mon May 18 07:56:44 2026 A1: 9486843527004285449034202142022662 Mon May 18 07:56:44 2026 A2: -708068382968142400016495580 Mon May 18 07:56:44 2026 A3: -389905007686755366722 Mon May 18 07:56:44 2026 A4: 19020876524655 Mon May 18 07:56:44 2026 A5: 1039500 Mon May 18 07:56:44 2026 skew 7104556.64, size 1.309e-16, alpha -7.086, combined = 3.436e-13 rroots = 5 Mon May 18 07:56:44 2026 Mon May 18 07:56:44 2026 commencing linear algebra Mon May 18 07:56:44 2026 using VBITS=256 Mon May 18 07:56:44 2026 skipping matrix build Mon May 18 07:56:44 2026 initialized process (0,0) of 1 x 1 grid Mon May 18 07:56:55 2026 matrix starts at (0, 0) Mon May 18 07:56:59 2026 matrix is 12283828 x 12284005 (5785.5 MB) with weight 1756362683 (142.98/col) Mon May 18 07:56:59 2026 sparse part has weight 1381509511 (112.46/col) Mon May 18 07:56:59 2026 saving the first 240 matrix rows for later Mon May 18 07:57:04 2026 matrix includes 256 packed rows Mon May 18 07:57:13 2026 matrix is 12283588 x 12284005 (5234.3 MB) with weight 1255185749 (102.18/col) Mon May 18 07:57:13 2026 sparse part has weight 1175605455 (95.70/col) Mon May 18 07:57:13 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Mon May 18 07:57:49 2026 commencing Lanczos iteration (64 threads) Mon May 18 07:57:49 2026 memory use: 7580.9 MB Mon May 18 07:59:31 2026 linear algebra at 0.2%, ETA 11h 6m Mon May 18 08:01:58 2026 checking every 10000 dimensions, checkpointing every 1120000 dimensions Mon May 18 18:54:50 2026 lanczos halted after 48128 iterations (dim = 12283588) Mon May 18 18:55:28 2026 recovered 30 nontrivial dependencies Mon May 18 18:55:29 2026 BLanczosTime: 39525 Mon May 18 18:55:29 2026 Mon May 18 18:55:29 2026 commencing square root phase Mon May 18 18:55:29 2026 handling dependencies 1 to 64 Mon May 18 18:55:29 2026 reading relations for dependency 1 Mon May 18 18:55:31 2026 read 6143024 cycles Mon May 18 18:55:41 2026 cycles contain 22941826 unique relations Mon May 18 19:00:34 2026 read 22941826 relations Mon May 18 19:03:49 2026 multiplying 22941826 relations Mon May 18 19:08:46 2026 multiply complete, coefficients have about 1313.90 million bits Mon May 18 19:08:52 2026 initial square root is modulo 783131 Mon May 18 19:25:10 2026 GCD is 1, no factor found Mon May 18 19:25:10 2026 reading relations for dependency 2 Mon May 18 19:25:13 2026 read 6139546 cycles Mon May 18 19:25:40 2026 cycles contain 22937228 unique relations Mon May 18 19:32:52 2026 read 22937228 relations Mon May 18 19:36:08 2026 multiplying 22937228 relations Mon May 18 19:40:33 2026 multiply complete, coefficients have about 1313.62 million bits Mon May 18 19:40:40 2026 initial square root is modulo 780877 Mon May 18 19:56:52 2026 sqrtTime: 3683 Mon May 18 19:56:52 2026 p69 factor: 170781126815882396385089596050450195306937733532554060243706766374521 Mon May 18 19:56:52 2026 p103 factor: 5341132840589105365090788479437812909700581031072001422005813218467829446119354081525021373931189443579 Mon May 18 19:56:52 2026 elapsed time 12:00:09