Wed Sep 23 16:34:00 2026 Wed Sep 23 16:34:00 2026 Wed Sep 23 16:34:00 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Sep 23 16:34:00 2026 random seeds: 271171b7 d387599c Wed Sep 23 16:34:00 2026 MPI process 0 of 1 Wed Sep 23 16:34:00 2026 Using 46 OpenMP threads Wed Sep 23 16:34:00 2026 factoring 224336113482649012382211805205498287407061646663433429416636977844789148111172915266697896253030967955081630239613215774559188270158774803415954809889359809832240080668701185161046520539153565216155766262979845851532764264696912806165990093 (240 digits) Wed Sep 23 16:34:01 2026 no P-1/P+1/ECM available, skipping Wed Sep 23 16:34:01 2026 commencing number field sieve (240-digit input) Wed Sep 23 16:34:01 2026 R0: 72890483685103052142902866787761839379440139451 Wed Sep 23 16:34:01 2026 R1: -8727963568087712425891397479476727340041449 Wed Sep 23 16:34:01 2026 A0: -11 Wed Sep 23 16:34:01 2026 A1: 0 Wed Sep 23 16:34:01 2026 A2: 0 Wed Sep 23 16:34:01 2026 A3: 0 Wed Sep 23 16:34:01 2026 A4: 0 Wed Sep 23 16:34:01 2026 A5: 0 Wed Sep 23 16:34:01 2026 A6: 9 Wed Sep 23 16:34:01 2026 skew 1.35, size 6.060e-14, alpha 1.515, combined = 1.385e-14 rroots = 2 Wed Sep 23 16:34:01 2026 Wed Sep 23 16:34:01 2026 commencing relation filtering Wed Sep 23 16:34:01 2026 setting target matrix density to 110.0 Wed Sep 23 16:34:01 2026 estimated available RAM is 192068.7 MB Wed Sep 23 16:44:53 2026 staged savefile to /scratch/gchilders/msieve.dat (86639.5 MB in 652 sec) Wed Sep 23 16:44:54 2026 commencing duplicate removal, pass 1 Wed Sep 23 16:50:22 2026 skipped 1 relations with composite factors Wed Sep 23 16:50:22 2026 skipped 608 malformed relations Wed Sep 23 16:50:22 2026 found 160405869 hash collisions in 741388408 relations Wed Sep 23 16:50:22 2026 cached 741389066 relation coordinates for pass 2 (12336.7 MB) Wed Sep 23 16:50:37 2026 added 1218212 free relations Wed Sep 23 16:50:38 2026 commencing duplicate removal, pass 2 Wed Sep 23 16:52:53 2026 found 173894436 duplicates and 568712184 unique relations Wed Sep 23 16:52:53 2026 memory use: 7080.0 MB Wed Sep 23 16:52:54 2026 reading ideals above 720000 Wed Sep 23 16:52:54 2026 commencing singleton removal, initial pass Wed Sep 23 16:59:32 2026 LP64 contains 568712184 relations and 593224796 unique large ideals Wed Sep 23 16:59:32 2026 memory use: 19512.0 MB Wed Sep 23 16:59:34 2026 preparing 64-bit LP file for common filtering Wed Sep 23 16:59:34 2026 start with 568712184 relations and 593224796 ideals Wed Sep 23 17:00:31 2026 compacted LP dataset has 568712184 relations and 593224796 large ideals Wed Sep 23 17:00:38 2026 reading all ideals from disk Wed Sep 23 17:00:47 2026 memory use: 28956.5 MB Wed Sep 23 17:01:01 2026 keeping 590436165 ideals with weight <= 200, target excess is 2904753 Wed Sep 23 17:02:28 2026 commencing in-memory singleton removal Wed Sep 23 17:02:40 2026 begin with 568712184 relations and 590436165 unique ideals Wed Sep 23 17:02:40 2026 memory use: 4520.7 MB Wed Sep 23 17:03:02 2026 reduce to 270079120 relations and 251115957 ideals in 5 passes Wed Sep 23 17:03:02 2026 max relations containing the same ideal: 129 Wed Sep 23 17:04:32 2026 removing 20940163 relations and 18940163 ideals in 2000000 cliques Wed Sep 23 17:04:35 2026 commencing in-memory singleton removal Wed Sep 23 17:04:42 2026 begin with 249138957 relations and 251115957 unique ideals Wed Sep 23 17:04:42 2026 memory use: 1931.9 MB Wed Sep 23 17:04:46 2026 reduce to 247634019 relations and 230653624 ideals in 1 passes Wed Sep 23 17:04:46 2026 max relations containing the same ideal: 121 Wed Sep 23 17:05:57 2026 removing 15503510 relations and 13503510 ideals in 2000000 cliques Wed Sep 23 17:05:59 2026 commencing in-memory singleton removal Wed Sep 23 17:06:05 2026 begin with 232130509 relations and 230653624 unique ideals Wed Sep 23 17:06:05 2026 memory use: 1775.7 MB Wed Sep 23 17:06:09 2026 reduce to 231213714 relations and 216224814 ideals in 1 passes Wed Sep 23 17:06:09 2026 max relations containing the same ideal: 115 Wed Sep 23 17:07:15 2026 removing 13802595 relations and 11802595 ideals in 2000000 cliques Wed Sep 23 17:07:17 2026 commencing in-memory singleton removal Wed Sep 23 17:07:23 2026 begin with 217411119 relations and 216224814 unique ideals Wed Sep 23 17:07:23 2026 memory use: 1665.7 MB Wed Sep 23 17:07:26 2026 reduce to 216636387 relations and 203640280 ideals in 1 passes Wed Sep 23 17:07:26 2026 max relations containing the same ideal: 112 Wed Sep 23 17:08:28 2026 removing 12906648 relations and 10906648 ideals in 2000000 cliques Wed Sep 23 17:08:31 2026 commencing in-memory singleton removal Wed Sep 23 17:08:36 2026 begin with 203729739 relations and 203640280 unique ideals Wed Sep 23 17:08:36 2026 memory use: 1569.7 MB Wed Sep 23 17:08:38 2026 reduce to 203005516 relations and 192002815 ideals in 1 passes Wed Sep 23 17:08:38 2026 max relations containing the same ideal: 107 Wed Sep 23 17:09:37 2026 removing 12344620 relations and 10344620 ideals in 2000000 cliques Wed Sep 23 17:09:39 2026 commencing in-memory singleton removal Wed Sep 23 17:09:44 2026 begin with 190660896 relations and 192002815 unique ideals Wed Sep 23 17:09:44 2026 memory use: 1480.9 MB Wed Sep 23 17:09:47 2026 reduce to 189958671 relations and 180949121 ideals in 1 passes Wed Sep 23 17:09:47 2026 max relations containing the same ideal: 101 Wed Sep 23 17:10:41 2026 removing 11977325 relations and 9977325 ideals in 2000000 cliques Wed Sep 23 17:10:43 2026 commencing in-memory singleton removal Wed Sep 23 17:10:48 2026 begin with 177981346 relations and 180949121 unique ideals Wed Sep 23 17:10:48 2026 memory use: 1396.5 MB Wed Sep 23 17:10:50 2026 reduce to 177276249 relations and 170259732 ideals in 1 passes Wed Sep 23 17:10:50 2026 max relations containing the same ideal: 98 Wed Sep 23 17:11:42 2026 removing 11726027 relations and 9726027 ideals in 2000000 cliques Wed Sep 23 17:11:44 2026 commencing in-memory singleton removal Wed Sep 23 17:11:48 2026 begin with 165550222 relations and 170259732 unique ideals Wed Sep 23 17:11:48 2026 memory use: 1315.0 MB Wed Sep 23 17:11:50 2026 reduce to 164829956 relations and 159805742 ideals in 1 passes Wed Sep 23 17:11:50 2026 max relations containing the same ideal: 97 Wed Sep 23 17:12:38 2026 removing 9918797 relations and 8264097 ideals in 1654700 cliques Wed Sep 23 17:12:40 2026 commencing in-memory singleton removal Wed Sep 23 17:12:44 2026 begin with 154911159 relations and 159805742 unique ideals Wed Sep 23 17:12:44 2026 memory use: 1235.2 MB Wed Sep 23 17:12:46 2026 reduce to 154372789 relations and 150998288 ideals in 1 passes Wed Sep 23 17:12:46 2026 max relations containing the same ideal: 91 Wed Sep 23 17:13:32 2026 relations with 0 large ideals: 110130 Wed Sep 23 17:13:32 2026 relations with 1 large ideals: 68627 Wed Sep 23 17:13:32 2026 relations with 2 large ideals: 853513 Wed Sep 23 17:13:32 2026 relations with 3 large ideals: 5138178 Wed Sep 23 17:13:32 2026 relations with 4 large ideals: 17028912 Wed Sep 23 17:13:32 2026 relations with 5 large ideals: 33898821 Wed Sep 23 17:13:32 2026 relations with 6 large ideals: 42092811 Wed Sep 23 17:13:32 2026 relations with 7+ large ideals: 55181797 Wed Sep 23 17:13:32 2026 commencing 2-way merge Wed Sep 23 17:14:33 2026 reduce to 91978740 relation sets and 88604239 unique ideals Wed Sep 23 17:14:33 2026 commencing full merge Wed Sep 23 17:36:14 2026 memory use: 11367.2 MB Wed Sep 23 17:36:15 2026 found 41931375 cycles, need 41766439 Wed Sep 23 17:36:25 2026 weight of 41766439 cycles is about 4594426521 (110.00/cycle) Wed Sep 23 17:36:25 2026 distribution of cycle lengths: Wed Sep 23 17:36:25 2026 1 relations: 4297581 Wed Sep 23 17:36:25 2026 2 relations: 3826644 Wed Sep 23 17:36:25 2026 3 relations: 3624639 Wed Sep 23 17:36:25 2026 4 relations: 3343954 Wed Sep 23 17:36:25 2026 5 relations: 3110953 Wed Sep 23 17:36:25 2026 6 relations: 2800906 Wed Sep 23 17:36:25 2026 7 relations: 2603966 Wed Sep 23 17:36:25 2026 8 relations: 2349710 Wed Sep 23 17:36:25 2026 9 relations: 2113633 Wed Sep 23 17:36:25 2026 10+ relations: 13694453 Wed Sep 23 17:36:25 2026 heaviest cycle: 28 relations Wed Sep 23 17:36:29 2026 commencing cycle optimization Wed Sep 23 17:37:30 2026 start with 325106442 relations Wed Sep 23 17:45:23 2026 pruned 9786650 relations Wed Sep 23 17:45:23 2026 memory use: 10047.7 MB Wed Sep 23 17:45:24 2026 distribution of cycle lengths: Wed Sep 23 17:45:24 2026 1 relations: 4297581 Wed Sep 23 17:45:24 2026 2 relations: 3910342 Wed Sep 23 17:45:24 2026 3 relations: 3755187 Wed Sep 23 17:45:24 2026 4 relations: 3438938 Wed Sep 23 17:45:24 2026 5 relations: 3206104 Wed Sep 23 17:45:24 2026 6 relations: 2870148 Wed Sep 23 17:45:24 2026 7 relations: 2660454 Wed Sep 23 17:45:24 2026 8 relations: 2388369 Wed Sep 23 17:45:24 2026 9 relations: 2145866 Wed Sep 23 17:45:24 2026 10+ relations: 13093450 Wed Sep 23 17:45:24 2026 heaviest cycle: 28 relations Wed Sep 23 17:45:37 2026 RelProcTime: 4296 Wed Sep 23 17:45:37 2026 Wed Sep 23 17:45:37 2026 commencing linear algebra Wed Sep 23 17:45:37 2026 using VBITS=128 Wed Sep 23 17:45:37 2026 stopping after matrix build Wed Sep 23 17:45:37 2026 initialized process (0,0) of 1 x 1 grid Wed Sep 23 17:45:42 2026 read 41766439 cycles Wed Sep 23 17:47:15 2026 cycles contain 151413828 unique relations Wed Sep 23 17:48:21 2026 read 151413828 relations Wed Sep 23 17:48:34 2026 using 20 quadratic characters above 4294917295 Wed Sep 23 17:48:53 2026 building initial matrix Wed Sep 23 17:50:32 2026 memory use: 19400.6 MB Wed Sep 23 17:51:15 2026 read 41766439 cycles Wed Sep 23 17:51:19 2026 matrix is 41766256 x 41766439 (18349.2 MB) with weight 5218719778 (124.95/col) Wed Sep 23 17:51:19 2026 sparse part has weight 4392478804 (105.17/col) Wed Sep 23 17:54:38 2026 filtering completed in 2 passes Wed Sep 23 17:54:44 2026 matrix is 41755973 x 41756154 (18348.3 MB) with weight 5218373829 (124.97/col) Wed Sep 23 17:54:44 2026 sparse part has weight 4392343588 (105.19/col) Wed Sep 23 17:56:36 2026 BLanczosTime: 659 Wed Sep 23 17:56:36 2026 elapsed time 01:22:36 Wed Sep 23 17:57:31 2026 Wed Sep 23 17:57:31 2026 Wed Sep 23 17:57:31 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Sep 23 17:57:31 2026 random seeds: 5f7cede9 e653f033 Wed Sep 23 17:57:31 2026 MPI process 0 of 2 Wed Sep 23 17:57:31 2026 Using 6 OpenMP threads Wed Sep 23 17:57:31 2026 factoring 224336113482649012382211805205498287407061646663433429416636977844789148111172915266697896253030967955081630239613215774559188270158774803415954809889359809832240080668701185161046520539153565216155766262979845851532764264696912806165990093 (240 digits) Wed Sep 23 17:57:31 2026 no P-1/P+1/ECM available, skipping Wed Sep 23 17:57:31 2026 commencing number field sieve (240-digit input) Wed Sep 23 17:57:31 2026 R0: 72890483685103052142902866787761839379440139451 Wed Sep 23 17:57:31 2026 R1: -8727963568087712425891397479476727340041449 Wed Sep 23 17:57:31 2026 A0: -11 Wed Sep 23 17:57:31 2026 A1: 0 Wed Sep 23 17:57:31 2026 A2: 0 Wed Sep 23 17:57:31 2026 A3: 0 Wed Sep 23 17:57:31 2026 A4: 0 Wed Sep 23 17:57:31 2026 A5: 0 Wed Sep 23 17:57:31 2026 A6: 9 Wed Sep 23 17:57:31 2026 skew 1.35, size 6.060e-14, alpha 1.515, combined = 1.385e-14 rroots = 2 Wed Sep 23 17:57:31 2026 Wed Sep 23 17:57:31 2026 commencing linear algebra Wed Sep 23 17:57:31 2026 using VBITS=256 Wed Sep 23 17:57:31 2026 skipping matrix build Wed Sep 23 17:57:31 2026 initialized process (0,0) of 1 x 2 grid Wed Sep 23 17:57:43 2026 matrix starts at (0, 0) Wed Sep 23 17:57:46 2026 matrix is 41755973 x 20877898 (9174.2 MB) with weight 2609175846 (124.97/col) Wed Sep 23 17:57:46 2026 sparse part has weight 2196171912 (105.19/col) Wed Sep 23 17:57:46 2026 saving the first 240 matrix rows for later Wed Sep 23 17:57:52 2026 matrix includes 256 packed rows Wed Sep 23 17:57:56 2026 matrix is 41755733 x 20877898 (8550.3 MB) with weight 2000221150 (95.81/col) Wed Sep 23 17:57:56 2026 sparse part has weight 1907357462 (91.36/col) Wed Sep 23 17:57:56 2026 using GPU 0 (NVIDIA A100-SXM4-40GB) Wed Sep 23 17:57:56 2026 selected card has CUDA arch 8.0 Wed Sep 23 18:00:48 2026 commencing Lanczos iteration Wed Sep 23 18:00:50 2026 memory use: 22038.4 MB Wed Sep 23 18:01:47 2026 linear algebra at 0.1%, ETA 15h53m Wed Sep 23 18:02:51 2026 checking every 40000 dimensions, checkpointing every 2640000 dimensions Thu Sep 24 10:05:40 2026 lanczos halted after 163600 iterations (dim = 41755731) Thu Sep 24 10:08:42 2026 recovered 36 nontrivial dependencies Thu Sep 24 10:08:43 2026 BLanczosTime: 58272 Thu Sep 24 10:08:43 2026 elapsed time 16:11:12 Thu Sep 24 10:08:44 2026 Thu Sep 24 10:08:44 2026 Thu Sep 24 10:08:44 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Sep 24 10:08:44 2026 random seeds: 7ec09fa7 3db761a9 Thu Sep 24 10:08:44 2026 MPI process 0 of 1 Thu Sep 24 10:08:44 2026 Using 46 OpenMP threads Thu Sep 24 10:08:44 2026 factoring 224336113482649012382211805205498287407061646663433429416636977844789148111172915266697896253030967955081630239613215774559188270158774803415954809889359809832240080668701185161046520539153565216155766262979845851532764264696912806165990093 (240 digits) Thu Sep 24 10:08:45 2026 no P-1/P+1/ECM available, skipping Thu Sep 24 10:08:45 2026 commencing number field sieve (240-digit input) Thu Sep 24 10:08:45 2026 R0: 72890483685103052142902866787761839379440139451 Thu Sep 24 10:08:45 2026 R1: -8727963568087712425891397479476727340041449 Thu Sep 24 10:08:45 2026 A0: -11 Thu Sep 24 10:08:45 2026 A1: 0 Thu Sep 24 10:08:45 2026 A2: 0 Thu Sep 24 10:08:45 2026 A3: 0 Thu Sep 24 10:08:45 2026 A4: 0 Thu Sep 24 10:08:45 2026 A5: 0 Thu Sep 24 10:08:45 2026 A6: 9 Thu Sep 24 10:08:45 2026 skew 1.35, size 6.060e-14, alpha 1.515, combined = 1.385e-14 rroots = 2 Thu Sep 24 10:08:45 2026 Thu Sep 24 10:08:45 2026 commencing square root phase Thu Sep 24 10:08:45 2026 reading relations for dependency 1 Thu Sep 24 10:08:50 2026 read 20873504 cycles Thu Sep 24 10:09:32 2026 cycles contain 75696582 unique relations Thu Sep 24 10:19:58 2026 read 75696582 relations Thu Sep 24 10:21:17 2026 multiplying 75696582 relations Thu Sep 24 10:24:48 2026 multiply complete, coefficients have about 2261.42 million bits Thu Sep 24 10:24:55 2026 initial square root is modulo 118081 Thu Sep 24 10:34:31 2026 GCD is N, no factor found Thu Sep 24 10:45:09 2026 staged savefile to /scratch/gchilders/msieve.dat (86654.1 MB in 638 sec) Thu Sep 24 10:45:09 2026 reading relations for dependency 2 Thu Sep 24 10:45:14 2026 read 20878663 cycles Thu Sep 24 10:46:00 2026 cycles contain 75714436 unique relations Thu Sep 24 10:47:29 2026 read 75714436 relations Thu Sep 24 10:48:44 2026 multiplying 75714436 relations Thu Sep 24 10:52:14 2026 multiply complete, coefficients have about 2261.95 million bits Thu Sep 24 10:52:22 2026 initial square root is modulo 118471 Thu Sep 24 11:02:14 2026 sqrtTime: 3209 Thu Sep 24 11:02:14 2026 p96 factor: 598821038723221405216802732968729776266959559249341531509001369234362421346475921357525007777661 Thu Sep 24 11:02:14 2026 p144 factor: 374629645546469317088725165840981842218571595362178353649235320556564985743288129536473963132581432190119499429980392116736215519901656713050513 Thu Sep 24 11:02:14 2026 elapsed time 00:53:30