Tue Oct 6 09:43:19 2026 Tue Oct 6 09:43:19 2026 Tue Oct 6 09:43:19 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Oct 6 09:43:19 2026 random seeds: 544630e6 ad61ffb1 Tue Oct 6 09:43:19 2026 MPI process 0 of 1 Tue Oct 6 09:43:19 2026 Using 46 OpenMP threads Tue Oct 6 09:43:19 2026 factoring 20957748570776238326388432848343453356886222315633569297558520219480092802797349475000499012661250648018886007295751765199292565206822313721345091233847112657008875677971909256108933593455102147354111285995577106188307956539286160207158942240041 (245 digits) Tue Oct 6 09:43:20 2026 no P-1/P+1/ECM available, skipping Tue Oct 6 09:43:20 2026 commencing number field sieve (245-digit input) Tue Oct 6 09:43:20 2026 R0: 232066203043628532226232161629462469269215238498908595729798842738 Tue Oct 6 09:43:20 2026 R1: -338813178901720135627329000271856784820556640625 Tue Oct 6 09:43:20 2026 A0: 11 Tue Oct 6 09:43:20 2026 A1: -6 Tue Oct 6 09:43:20 2026 A2: 6 Tue Oct 6 09:43:20 2026 A3: -1 Tue Oct 6 09:43:20 2026 A4: 1 Tue Oct 6 09:43:20 2026 skew 3.97, size 1.051e-26, alpha 1.426, combined = 6.959e-16 rroots = 0 Tue Oct 6 09:43:20 2026 Tue Oct 6 09:43:20 2026 commencing relation filtering Tue Oct 6 09:43:20 2026 setting target matrix density to 110.0 Tue Oct 6 09:43:20 2026 estimated available RAM is 192068.7 MB Tue Oct 6 09:58:30 2026 staged savefile to /scratch/gchilders/msieve.dat (126231.4 MB in 910 sec) Tue Oct 6 09:58:30 2026 commencing duplicate removal, pass 1 Tue Oct 6 10:05:16 2026 skipped 1 malformed relations Tue Oct 6 10:05:16 2026 found 243609281 hash collisions in 947339577 relations Tue Oct 6 10:05:16 2026 cached 947339578 relation coordinates for pass 2 (15479.3 MB) Tue Oct 6 10:05:25 2026 added 3657741 free relations Tue Oct 6 10:05:25 2026 commencing duplicate removal, pass 2 Tue Oct 6 10:09:03 2026 found 284994416 duplicates and 666002902 unique relations Tue Oct 6 10:09:03 2026 memory use: 10952.0 MB Tue Oct 6 10:09:04 2026 reading ideals above 899612672 Tue Oct 6 10:09:04 2026 commencing singleton removal, initial pass Tue Oct 6 10:15:02 2026 LP64 contains 666002902 relations and 602287838 unique large ideals Tue Oct 6 10:15:02 2026 memory use: 19692.0 MB Tue Oct 6 10:15:04 2026 preparing 64-bit LP file for common filtering Tue Oct 6 10:15:04 2026 start with 666002902 relations and 602287838 ideals Tue Oct 6 10:15:59 2026 compacted LP dataset has 666002902 relations and 602287838 large ideals Tue Oct 6 10:15:59 2026 reading all ideals from disk Tue Oct 6 10:16:04 2026 memory use: 15866.8 MB Tue Oct 6 10:16:11 2026 ideal weight profile: 602287838 ideals, 666002902 relations, base target excess 93549748, margin -29834684 Tue Oct 6 10:16:11 2026 no excess at this stage, so no cap is chosen from it Tue Oct 6 10:16:11 2026 commencing in-memory singleton removal Tue Oct 6 10:16:16 2026 begin with 666002902 relations and 602287838 unique ideals Tue Oct 6 10:16:16 2026 memory use: 4611.1 MB Tue Oct 6 10:16:37 2026 reduce to 327911998 relations and 220988283 ideals in 5 passes Tue Oct 6 10:16:37 2026 max relations containing the same ideal: 27 Tue Oct 6 10:16:49 2026 reading ideals above 720000 Tue Oct 6 10:16:49 2026 commencing singleton removal, initial pass Tue Oct 6 10:21:15 2026 LP64 contains 327911998 relations and 312116976 unique large ideals Tue Oct 6 10:21:15 2026 memory use: 10056.0 MB Tue Oct 6 10:21:18 2026 preparing 64-bit LP file for common filtering Tue Oct 6 10:21:18 2026 start with 327911998 relations and 312116976 ideals Tue Oct 6 10:22:02 2026 compacted LP dataset has 327911998 relations and 312116976 large ideals Tue Oct 6 10:22:02 2026 reading all ideals from disk Tue Oct 6 10:22:09 2026 memory use: 17187.6 MB Tue Oct 6 10:22:17 2026 ideal weight profile: 312116976 ideals, 327911998 relations, base target excess 115918, margin 15679104 Tue Oct 6 10:22:17 2026 weight <= 10: keep 260436128, bury 51680848, target excess 51796766 Tue Oct 6 10:22:17 2026 weight <= 15: keep 277943934, bury 34173042, target excess 34288960 Tue Oct 6 10:22:17 2026 weight <= 20: keep 288854208, bury 23262768, target excess 23378686 Tue Oct 6 10:22:17 2026 weight <= 25: keep 293827522, bury 18289454, target excess 18405372 Tue Oct 6 10:22:17 2026 weight <= 30: keep 297087391, bury 15029585, target excess 15145503 Tue Oct 6 10:22:17 2026 weight <= 35: keep 299620695, bury 12496281, target excess 12612199 Tue Oct 6 10:22:17 2026 weight <= 40: keep 301540981, bury 10575995, target excess 10691913 Tue Oct 6 10:22:17 2026 weight <= 45: keep 303027273, bury 9089703, target excess 9205621 Tue Oct 6 10:22:17 2026 weight <= 100: keep 308539512, bury 3577464, target excess 3693382 Tue Oct 6 10:22:17 2026 weight <= 200: keep 310480806, bury 1636170, target excess 1752088 Tue Oct 6 10:22:17 2026 keeping 288854208 ideals with weight <= 20, target excess is 23378686 Tue Oct 6 10:23:08 2026 commencing in-memory singleton removal Tue Oct 6 10:23:11 2026 begin with 327911998 relations and 288854208 unique ideals Tue Oct 6 10:23:11 2026 memory use: 2219.8 MB Tue Oct 6 10:23:17 2026 reduce to 321564002 relations and 282487891 ideals in 1 passes Tue Oct 6 10:23:17 2026 max relations containing the same ideal: 20 Tue Oct 6 10:24:46 2026 removing 19904022 relations and 17904022 ideals in 2000000 cliques Tue Oct 6 10:24:50 2026 commencing in-memory singleton removal Tue Oct 6 10:24:55 2026 begin with 301659980 relations and 282487891 unique ideals Tue Oct 6 10:24:55 2026 memory use: 2171.2 MB Tue Oct 6 10:24:59 2026 reduce to 300556947 relations and 263470398 ideals in 1 passes Tue Oct 6 10:24:59 2026 max relations containing the same ideal: 20 Tue Oct 6 10:26:17 2026 removing 14850780 relations and 12850780 ideals in 2000000 cliques Tue Oct 6 10:26:22 2026 commencing in-memory singleton removal Tue Oct 6 10:26:26 2026 begin with 285706167 relations and 263470398 unique ideals Tue Oct 6 10:26:26 2026 memory use: 2026.1 MB Tue Oct 6 10:26:30 2026 reduce to 285023596 relations and 249931705 ideals in 1 passes Tue Oct 6 10:26:30 2026 max relations containing the same ideal: 20 Tue Oct 6 10:27:42 2026 removing 13286675 relations and 11286675 ideals in 2000000 cliques Tue Oct 6 10:27:46 2026 commencing in-memory singleton removal Tue Oct 6 10:27:50 2026 begin with 271736921 relations and 249931705 unique ideals Tue Oct 6 10:27:50 2026 memory use: 1922.8 MB Tue Oct 6 10:27:54 2026 reduce to 271158460 relations and 238062288 ideals in 1 passes Tue Oct 6 10:27:54 2026 max relations containing the same ideal: 20 Tue Oct 6 10:29:14 2026 removing 12438544 relations and 10438544 ideals in 2000000 cliques Tue Oct 6 10:29:18 2026 commencing in-memory singleton removal Tue Oct 6 10:29:22 2026 begin with 258719916 relations and 238062288 unique ideals Tue Oct 6 10:29:22 2026 memory use: 1832.3 MB Tue Oct 6 10:29:25 2026 reduce to 258180970 relations and 227080734 ideals in 1 passes Tue Oct 6 10:29:25 2026 max relations containing the same ideal: 20 Tue Oct 6 10:30:31 2026 removing 11904110 relations and 9904110 ideals in 2000000 cliques Tue Oct 6 10:30:35 2026 commencing in-memory singleton removal Tue Oct 6 10:30:39 2026 begin with 246276860 relations and 227080734 unique ideals Tue Oct 6 10:30:39 2026 memory use: 1748.5 MB Tue Oct 6 10:30:42 2026 reduce to 245759916 relations and 216655638 ideals in 1 passes Tue Oct 6 10:30:42 2026 max relations containing the same ideal: 20 Tue Oct 6 10:31:46 2026 removing 11462785 relations and 9477783 ideals in 1985002 cliques Tue Oct 6 10:31:49 2026 commencing in-memory singleton removal Tue Oct 6 10:31:53 2026 begin with 234297131 relations and 216655638 unique ideals Tue Oct 6 10:31:53 2026 memory use: 1669.0 MB Tue Oct 6 10:31:56 2026 reduce to 233794457 relations and 206671330 ideals in 1 passes Tue Oct 6 10:31:56 2026 max relations containing the same ideal: 20 Tue Oct 6 10:32:55 2026 relations with 0 large ideals: 2306903 Tue Oct 6 10:32:55 2026 relations with 1 large ideals: 8721067 Tue Oct 6 10:32:55 2026 relations with 2 large ideals: 31112295 Tue Oct 6 10:32:55 2026 relations with 3 large ideals: 61387247 Tue Oct 6 10:32:55 2026 relations with 4 large ideals: 71424745 Tue Oct 6 10:32:55 2026 relations with 5 large ideals: 44550236 Tue Oct 6 10:32:55 2026 relations with 6 large ideals: 13272983 Tue Oct 6 10:32:55 2026 relations with 7+ large ideals: 1018981 Tue Oct 6 10:32:55 2026 commencing 2-way merge Tue Oct 6 10:34:21 2026 reduce to 143471204 relation sets and 116348077 unique ideals Tue Oct 6 10:34:21 2026 commencing full merge Tue Oct 6 10:58:13 2026 memory use: 11620.3 MB Tue Oct 6 10:58:15 2026 found 63858157 cycles, need 60948276 Tue Oct 6 10:58:31 2026 weight of 60948276 cycles is about 6704561589 (110.00/cycle) Tue Oct 6 10:58:31 2026 distribution of cycle lengths: Tue Oct 6 10:58:31 2026 1 relations: 5936062 Tue Oct 6 10:58:31 2026 2 relations: 5086769 Tue Oct 6 10:58:31 2026 3 relations: 5177829 Tue Oct 6 10:58:31 2026 4 relations: 4888279 Tue Oct 6 10:58:31 2026 5 relations: 4577596 Tue Oct 6 10:58:31 2026 6 relations: 4256934 Tue Oct 6 10:58:31 2026 7 relations: 3899726 Tue Oct 6 10:58:31 2026 8 relations: 3576512 Tue Oct 6 10:58:31 2026 9 relations: 3253608 Tue Oct 6 10:58:31 2026 10+ relations: 20294961 Tue Oct 6 10:58:31 2026 heaviest cycle: 27 relations Tue Oct 6 10:58:34 2026 commencing cycle optimization Tue Oct 6 11:00:12 2026 start with 470353207 relations Tue Oct 6 11:12:59 2026 pruned 16264651 relations Tue Oct 6 11:13:00 2026 memory use: 14336.8 MB Tue Oct 6 11:13:01 2026 distribution of cycle lengths: Tue Oct 6 11:13:01 2026 1 relations: 5936062 Tue Oct 6 11:13:01 2026 2 relations: 5209884 Tue Oct 6 11:13:01 2026 3 relations: 5400084 Tue Oct 6 11:13:01 2026 4 relations: 5070093 Tue Oct 6 11:13:01 2026 5 relations: 4767014 Tue Oct 6 11:13:01 2026 6 relations: 4398556 Tue Oct 6 11:13:01 2026 7 relations: 4024589 Tue Oct 6 11:13:01 2026 8 relations: 3663328 Tue Oct 6 11:13:01 2026 9 relations: 3318412 Tue Oct 6 11:13:01 2026 10+ relations: 19160254 Tue Oct 6 11:13:01 2026 heaviest cycle: 27 relations Tue Oct 6 11:13:22 2026 RelProcTime: 5402 Tue Oct 6 11:13:22 2026 Tue Oct 6 11:13:22 2026 commencing linear algebra Tue Oct 6 11:13:22 2026 using VBITS=128 Tue Oct 6 11:13:22 2026 stopping after matrix build Tue Oct 6 11:13:22 2026 initialized process (0,0) of 1 x 1 grid Tue Oct 6 11:13:30 2026 read 60948276 cycles Tue Oct 6 11:15:51 2026 cycles contain 213792490 unique relations Tue Oct 6 11:17:44 2026 read 213792490 relations Tue Oct 6 11:18:06 2026 using 20 quadratic characters above 4294917295 Tue Oct 6 11:18:33 2026 building initial matrix Tue Oct 6 11:20:54 2026 memory use: 26962.5 MB Tue Oct 6 11:22:11 2026 read 60948276 cycles Tue Oct 6 11:22:20 2026 matrix is 60946338 x 60948276 (26788.3 MB) with weight 7616053590 (124.96/col) Tue Oct 6 11:22:20 2026 sparse part has weight 6351973833 (104.22/col) Tue Oct 6 11:32:41 2026 filtering completed in 3 passes Tue Oct 6 11:32:51 2026 matrix is 60773505 x 60773704 (26755.7 MB) with weight 7605532830 (125.15/col) Tue Oct 6 11:32:51 2026 sparse part has weight 6345324773 (104.41/col) Tue Oct 6 11:35:40 2026 BLanczosTime: 1338 Tue Oct 6 11:35:40 2026 elapsed time 01:52:21 Tue Oct 6 11:36:19 2026 Tue Oct 6 11:36:19 2026 Tue Oct 6 11:36:19 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Oct 6 11:36:19 2026 random seeds: 794da526 a5e44460 Tue Oct 6 11:36:19 2026 MPI process 0 of 2 Tue Oct 6 11:36:19 2026 Using 6 OpenMP threads Tue Oct 6 11:36:19 2026 factoring 20957748570776238326388432848343453356886222315633569297558520219480092802797349475000499012661250648018886007295751765199292565206822313721345091233847112657008875677971909256108933593455102147354111285995577106188307956539286160207158942240041 (245 digits) Tue Oct 6 11:36:20 2026 no P-1/P+1/ECM available, skipping Tue Oct 6 11:36:20 2026 commencing number field sieve (245-digit input) Tue Oct 6 11:36:20 2026 R0: 232066203043628532226232161629462469269215238498908595729798842738 Tue Oct 6 11:36:20 2026 R1: -338813178901720135627329000271856784820556640625 Tue Oct 6 11:36:20 2026 A0: 11 Tue Oct 6 11:36:20 2026 A1: -6 Tue Oct 6 11:36:20 2026 A2: 6 Tue Oct 6 11:36:20 2026 A3: -1 Tue Oct 6 11:36:20 2026 A4: 1 Tue Oct 6 11:36:20 2026 skew 3.97, size 1.051e-26, alpha 1.426, combined = 6.959e-16 rroots = 0 Tue Oct 6 11:36:20 2026 Tue Oct 6 11:36:20 2026 commencing linear algebra Tue Oct 6 11:36:20 2026 using VBITS=256 Tue Oct 6 11:36:20 2026 skipping matrix build Tue Oct 6 11:36:20 2026 initialized process (0,0) of 1 x 2 grid Tue Oct 6 11:36:39 2026 matrix starts at (0, 0) Tue Oct 6 11:36:42 2026 matrix is 60773505 x 30386135 (13377.8 MB) with weight 3802749724 (125.15/col) Tue Oct 6 11:36:42 2026 sparse part has weight 3172662552 (104.41/col) Tue Oct 6 11:36:42 2026 saving the first 240 matrix rows for later Tue Oct 6 11:36:50 2026 matrix includes 256 packed rows Tue Oct 6 11:37:00 2026 matrix is 60773265 x 30386135 (12484.5 MB) with weight 2918439336 (96.05/col) Tue Oct 6 11:37:00 2026 sparse part has weight 2786556795 (91.70/col) Tue Oct 6 11:37:00 2026 using GPU 0 (NVIDIA A100-SXM4-40GB) Tue Oct 6 11:37:00 2026 selected card has CUDA arch 8.0 Tue Oct 6 11:37:01 2026 computed block_nnz 729279180 (L2 cache 41943040 bytes, average column weight 91.7) Tue Oct 6 11:37:01 2026 nonzeros per matrix block: 4000000000 Tue Oct 6 11:37:01 2026 SpMV kernel: auto (by nonzeros per row) Tue Oct 6 11:37:14 2026 GPU memory: 40017 MB free, 9273 MB for vectors, 29817 MB for sparse matrix blocks (21611 MB needed) Tue Oct 6 11:39:48 2026 commencing Lanczos iteration Tue Oct 6 11:39:51 2026 memory use: 31808.0 MB Tue Oct 6 11:40:51 2026 linear algebra at 0.1%, ETA 32h30m Tue Oct 6 11:42:20 2026 checking every 30000 dimensions, checkpointing every 1890000 dimensions Wed Oct 7 20:10:59 2026 lanczos halted after 238108 iterations (dim = 60773264) Wed Oct 7 20:15:06 2026 recovered 38 nontrivial dependencies Wed Oct 7 20:15:07 2026 BLanczosTime: 117527 Wed Oct 7 20:15:07 2026 elapsed time 32:38:48 Wed Oct 7 22:10:55 2026 Wed Oct 7 22:10:55 2026 Wed Oct 7 22:10:55 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Oct 7 22:10:55 2026 random seeds: 17ca1167 54571cbd Wed Oct 7 22:10:55 2026 MPI process 0 of 1 Wed Oct 7 22:10:55 2026 Using 46 OpenMP threads Wed Oct 7 22:10:55 2026 factoring 20957748570776238326388432848343453356886222315633569297558520219480092802797349475000499012661250648018886007295751765199292565206822313721345091233847112657008875677971909256108933593455102147354111285995577106188307956539286160207158942240041 (245 digits) Wed Oct 7 22:10:56 2026 no P-1/P+1/ECM available, skipping Wed Oct 7 22:10:56 2026 commencing number field sieve (245-digit input) Wed Oct 7 22:10:56 2026 R0: 232066203043628532226232161629462469269215238498908595729798842738 Wed Oct 7 22:10:56 2026 R1: -338813178901720135627329000271856784820556640625 Wed Oct 7 22:10:56 2026 A0: 11 Wed Oct 7 22:10:56 2026 A1: -6 Wed Oct 7 22:10:56 2026 A2: 6 Wed Oct 7 22:10:56 2026 A3: -1 Wed Oct 7 22:10:56 2026 A4: 1 Wed Oct 7 22:10:56 2026 skew 3.97, size 1.051e-26, alpha 1.426, combined = 6.959e-16 rroots = 0 Wed Oct 7 22:10:56 2026 Wed Oct 7 22:10:56 2026 commencing square root phase Wed Oct 7 22:10:56 2026 reading relations for dependency 1 Wed Oct 7 22:11:04 2026 read 30386706 cycles Wed Oct 7 22:12:08 2026 cycles contain 106818142 unique relations Wed Oct 7 22:26:51 2026 read 106818142 relations Wed Oct 7 22:28:26 2026 multiplying 106818142 relations Wed Oct 7 22:31:20 2026 multiply complete, coefficients have about 3075.00 million bits Wed Oct 7 22:31:29 2026 initial square root is modulo 7884823 Wed Oct 7 22:43:01 2026 sqrtTime: 1925 Wed Oct 7 22:43:01 2026 p121 factor: 6497759725529147507980407845506594442754556022474627742194855191144659169274228910055342603133383473851027258315449467221 Wed Oct 7 22:43:01 2026 p124 factor: 3225380662882165312189369872706648363271257862808004786948600703485403860347578650028426650364348278601596380814493113740421 Wed Oct 7 22:43:01 2026 elapsed time 00:32:06