Mon May 4 17:52:29 2026 Mon May 4 17:52:29 2026 Mon May 4 17:52:29 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon May 4 17:52:29 2026 random seeds: 057c1369 d0869176 Mon May 4 17:52:29 2026 MPI process 0 of 1 Mon May 4 17:52:29 2026 Using 46 OpenMP threads Mon May 4 17:52:29 2026 factoring 3705855242206316918729041666396395353348168063668141980059835447340290515729174797169936156475361349533392531168638893099727805711756597241605671828673416659945658875365543690952290557664364054541048262799860444986119331166186482510348994538425456622612003501 (259 digits) Mon May 4 17:52:30 2026 no P-1/P+1/ECM available, skipping Mon May 4 17:52:30 2026 commencing number field sieve (259-digit input) Mon May 4 17:52:30 2026 R0: 1 Mon May 4 17:52:30 2026 R1: -12439736820433679214598960433785667193847249 Mon May 4 17:52:30 2026 A0: -20393 Mon May 4 17:52:30 2026 A1: 0 Mon May 4 17:52:30 2026 A2: 0 Mon May 4 17:52:30 2026 A3: 0 Mon May 4 17:52:30 2026 A4: 0 Mon May 4 17:52:30 2026 A5: 0 Mon May 4 17:52:30 2026 A6: 1 Mon May 4 17:52:30 2026 skew 4.05, size 2.562e-13, alpha 1.638, combined = 4.379e-14 rroots = 2 Mon May 4 17:52:30 2026 Mon May 4 17:52:30 2026 commencing relation filtering Mon May 4 17:52:30 2026 setting target matrix density to 110.0 Mon May 4 17:52:30 2026 estimated available RAM is 385608.3 MB Mon May 4 17:52:30 2026 commencing duplicate removal, pass 1 Mon May 4 17:54:06 2026 error -5 reading relation 154469753 Mon May 4 17:54:32 2026 error -15 reading relation 196504254 Mon May 4 17:55:24 2026 error -15 reading relation 280998119 Mon May 4 17:56:03 2026 error -15 reading relation 345074948 Mon May 4 17:56:05 2026 skipped 465 malformed relations Mon May 4 17:56:05 2026 found 13370946 hash collisions in 348091184 relations Mon May 4 17:56:16 2026 added 1217830 free relations Mon May 4 17:56:16 2026 commencing duplicate removal, pass 2 Mon May 4 17:57:31 2026 found 0 duplicates and 349309014 unique relations Mon May 4 17:57:31 2026 memory use: 1108.8 MB Mon May 4 17:57:31 2026 reading ideals above 720000 Mon May 4 17:57:31 2026 commencing singleton removal, initial pass Mon May 4 18:08:40 2026 memory use: 11024.0 MB Mon May 4 18:08:40 2026 reading all ideals from disk Mon May 4 18:08:49 2026 memory use: 17395.6 MB Mon May 4 18:09:25 2026 keeping 331337315 ideals with weight <= 200, target excess is 1801003 Mon May 4 18:10:06 2026 commencing in-memory singleton removal Mon May 4 18:10:10 2026 begin with 349309014 relations and 331337315 unique ideals Mon May 4 18:10:28 2026 reduce to 216085056 relations and 184132109 ideals in 18 passes Mon May 4 18:10:28 2026 max relations containing the same ideal: 153 Mon May 4 18:11:23 2026 removing 13902268 relations and 11902268 ideals in 2000000 cliques Mon May 4 18:11:29 2026 commencing in-memory singleton removal Mon May 4 18:11:32 2026 begin with 202182788 relations and 184132109 unique ideals Mon May 4 18:11:39 2026 reduce to 201474486 relations and 171512403 ideals in 9 passes Mon May 4 18:11:39 2026 max relations containing the same ideal: 146 Mon May 4 18:12:28 2026 removing 10523756 relations and 8523756 ideals in 2000000 cliques Mon May 4 18:12:34 2026 commencing in-memory singleton removal Mon May 4 18:12:36 2026 begin with 190950730 relations and 171512403 unique ideals Mon May 4 18:12:43 2026 reduce to 190493452 relations and 162526423 ideals in 9 passes Mon May 4 18:12:43 2026 max relations containing the same ideal: 141 Mon May 4 18:13:30 2026 removing 9478728 relations and 7478728 ideals in 2000000 cliques Mon May 4 18:13:35 2026 commencing in-memory singleton removal Mon May 4 18:13:37 2026 begin with 181014724 relations and 162526423 unique ideals Mon May 4 18:13:42 2026 reduce to 180617086 relations and 154645945 ideals in 7 passes Mon May 4 18:13:42 2026 max relations containing the same ideal: 136 Mon May 4 18:14:27 2026 removing 8924862 relations and 6924862 ideals in 2000000 cliques Mon May 4 18:14:32 2026 commencing in-memory singleton removal Mon May 4 18:14:34 2026 begin with 171692224 relations and 154645945 unique ideals Mon May 4 18:14:39 2026 reduce to 171320297 relations and 147345233 ideals in 7 passes Mon May 4 18:14:39 2026 max relations containing the same ideal: 132 Mon May 4 18:15:22 2026 removing 8578035 relations and 6578035 ideals in 2000000 cliques Mon May 4 18:15:26 2026 commencing in-memory singleton removal Mon May 4 18:15:28 2026 begin with 162742262 relations and 147345233 unique ideals Mon May 4 18:15:33 2026 reduce to 162379889 relations and 140400852 ideals in 7 passes Mon May 4 18:15:33 2026 max relations containing the same ideal: 127 Mon May 4 18:16:14 2026 removing 8342796 relations and 6342796 ideals in 2000000 cliques Mon May 4 18:16:18 2026 commencing in-memory singleton removal Mon May 4 18:16:20 2026 begin with 154037093 relations and 140400852 unique ideals Mon May 4 18:16:24 2026 reduce to 153675989 relations and 133692767 ideals in 7 passes Mon May 4 18:16:24 2026 max relations containing the same ideal: 125 Mon May 4 18:17:04 2026 removing 8186136 relations and 6186136 ideals in 2000000 cliques Mon May 4 18:17:08 2026 commencing in-memory singleton removal Mon May 4 18:17:10 2026 begin with 145489853 relations and 133692767 unique ideals Mon May 4 18:17:14 2026 reduce to 145124220 relations and 127136732 ideals in 9 passes Mon May 4 18:17:14 2026 max relations containing the same ideal: 118 Mon May 4 18:17:52 2026 removing 8076750 relations and 6076750 ideals in 2000000 cliques Mon May 4 18:17:56 2026 commencing in-memory singleton removal Mon May 4 18:17:58 2026 begin with 137047470 relations and 127136732 unique ideals Mon May 4 18:18:02 2026 reduce to 136672460 relations and 120680365 ideals in 8 passes Mon May 4 18:18:02 2026 max relations containing the same ideal: 113 Mon May 4 18:18:39 2026 removing 8011868 relations and 6011868 ideals in 2000000 cliques Mon May 4 18:18:43 2026 commencing in-memory singleton removal Mon May 4 18:18:44 2026 begin with 128660592 relations and 120680365 unique ideals Mon May 4 18:18:47 2026 reduce to 128270567 relations and 114273351 ideals in 7 passes Mon May 4 18:18:47 2026 max relations containing the same ideal: 109 Mon May 4 18:19:22 2026 removing 7974535 relations and 5974535 ideals in 2000000 cliques Mon May 4 18:19:26 2026 commencing in-memory singleton removal Mon May 4 18:19:27 2026 begin with 120296032 relations and 114273351 unique ideals Mon May 4 18:19:31 2026 reduce to 119886517 relations and 107883781 ideals in 8 passes Mon May 4 18:19:31 2026 max relations containing the same ideal: 103 Mon May 4 18:20:03 2026 removing 7971508 relations and 5971508 ideals in 2000000 cliques Mon May 4 18:20:06 2026 commencing in-memory singleton removal Mon May 4 18:20:08 2026 begin with 111915009 relations and 107883781 unique ideals Mon May 4 18:20:10 2026 reduce to 111480242 relations and 101471213 ideals in 7 passes Mon May 4 18:20:10 2026 max relations containing the same ideal: 98 Mon May 4 18:20:41 2026 removing 7987748 relations and 5987748 ideals in 2000000 cliques Mon May 4 18:20:44 2026 commencing in-memory singleton removal Mon May 4 18:20:45 2026 begin with 103492494 relations and 101471213 unique ideals Mon May 4 18:20:48 2026 reduce to 103022246 relations and 95005808 ideals in 7 passes Mon May 4 18:20:48 2026 max relations containing the same ideal: 94 Mon May 4 18:21:16 2026 removing 8035054 relations and 6035054 ideals in 2000000 cliques Mon May 4 18:21:19 2026 commencing in-memory singleton removal Mon May 4 18:21:20 2026 begin with 94987192 relations and 95005808 unique ideals Mon May 4 18:21:23 2026 reduce to 94472597 relations and 88447715 ideals in 8 passes Mon May 4 18:21:23 2026 max relations containing the same ideal: 88 Mon May 4 18:21:49 2026 removing 8106018 relations and 6106018 ideals in 2000000 cliques Mon May 4 18:21:52 2026 commencing in-memory singleton removal Mon May 4 18:21:53 2026 begin with 86366579 relations and 88447715 unique ideals Mon May 4 18:21:56 2026 reduce to 85792950 relations and 81757419 ideals in 8 passes Mon May 4 18:21:56 2026 max relations containing the same ideal: 83 Mon May 4 18:22:20 2026 removing 8031935 relations and 6085568 ideals in 1946367 cliques Mon May 4 18:22:22 2026 commencing in-memory singleton removal Mon May 4 18:22:23 2026 begin with 77761015 relations and 81757419 unique ideals Mon May 4 18:22:26 2026 reduce to 77140429 relations and 75039262 ideals in 8 passes Mon May 4 18:22:26 2026 max relations containing the same ideal: 80 Mon May 4 18:22:47 2026 removing 110189 relations and 98186 ideals in 12003 cliques Mon May 4 18:22:49 2026 commencing in-memory singleton removal Mon May 4 18:22:50 2026 begin with 77030240 relations and 75039262 unique ideals Mon May 4 18:22:51 2026 reduce to 77030163 relations and 74940999 ideals in 4 passes Mon May 4 18:22:51 2026 max relations containing the same ideal: 80 Mon May 4 18:22:59 2026 relations with 0 large ideals: 65545 Mon May 4 18:22:59 2026 relations with 1 large ideals: 33010 Mon May 4 18:22:59 2026 relations with 2 large ideals: 442435 Mon May 4 18:22:59 2026 relations with 3 large ideals: 2668896 Mon May 4 18:22:59 2026 relations with 4 large ideals: 8735677 Mon May 4 18:22:59 2026 relations with 5 large ideals: 17075000 Mon May 4 18:22:59 2026 relations with 6 large ideals: 20749919 Mon May 4 18:22:59 2026 relations with 7+ large ideals: 27259681 Mon May 4 18:22:59 2026 commencing 2-way merge Mon May 4 18:23:32 2026 reduce to 48663952 relation sets and 46574788 unique ideals Mon May 4 18:23:32 2026 commencing full merge Mon May 4 18:35:17 2026 memory use: 6014.9 MB Mon May 4 18:35:21 2026 found 22388798 cycles, need 22210988 Mon May 4 18:35:27 2026 weight of 22210988 cycles is about 2443423235 (110.01/cycle) Mon May 4 18:35:27 2026 distribution of cycle lengths: Mon May 4 18:35:27 2026 1 relations: 1692783 Mon May 4 18:35:27 2026 2 relations: 1764837 Mon May 4 18:35:27 2026 3 relations: 1790825 Mon May 4 18:35:27 2026 4 relations: 1719919 Mon May 4 18:35:27 2026 5 relations: 1676122 Mon May 4 18:35:27 2026 6 relations: 1614759 Mon May 4 18:35:27 2026 7 relations: 1533290 Mon May 4 18:35:27 2026 8 relations: 1446069 Mon May 4 18:35:27 2026 9 relations: 1336055 Mon May 4 18:35:27 2026 10+ relations: 7636329 Mon May 4 18:35:27 2026 heaviest cycle: 28 relations Mon May 4 18:35:33 2026 commencing cycle optimization Mon May 4 18:36:08 2026 start with 177066800 relations Mon May 4 18:40:30 2026 pruned 6655661 relations Mon May 4 18:40:30 2026 memory use: 4972.4 MB Mon May 4 18:40:30 2026 distribution of cycle lengths: Mon May 4 18:40:30 2026 1 relations: 1692783 Mon May 4 18:40:30 2026 2 relations: 1804377 Mon May 4 18:40:30 2026 3 relations: 1860278 Mon May 4 18:40:30 2026 4 relations: 1781314 Mon May 4 18:40:30 2026 5 relations: 1746197 Mon May 4 18:40:30 2026 6 relations: 1675451 Mon May 4 18:40:30 2026 7 relations: 1592035 Mon May 4 18:40:30 2026 8 relations: 1494485 Mon May 4 18:40:30 2026 9 relations: 1378030 Mon May 4 18:40:30 2026 10+ relations: 7186038 Mon May 4 18:40:30 2026 heaviest cycle: 28 relations Mon May 4 18:41:11 2026 RelProcTime: 2921 Mon May 4 18:41:11 2026 elapsed time 00:48:42 Mon May 4 18:41:12 2026 Mon May 4 18:41:12 2026 Mon May 4 18:41:12 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon May 4 18:41:12 2026 random seeds: 349e9626 065eea5e Mon May 4 18:41:12 2026 MPI process 0 of 1 Mon May 4 18:41:12 2026 Using 46 OpenMP threads Mon May 4 18:41:12 2026 factoring 3705855242206316918729041666396395353348168063668141980059835447340290515729174797169936156475361349533392531168638893099727805711756597241605671828673416659945658875365543690952290557664364054541048262799860444986119331166186482510348994538425456622612003501 (259 digits) Mon May 4 18:41:12 2026 no P-1/P+1/ECM available, skipping Mon May 4 18:41:12 2026 commencing number field sieve (259-digit input) Mon May 4 18:41:12 2026 R0: 1 Mon May 4 18:41:12 2026 R1: -12439736820433679214598960433785667193847249 Mon May 4 18:41:12 2026 A0: -20393 Mon May 4 18:41:12 2026 A1: 0 Mon May 4 18:41:12 2026 A2: 0 Mon May 4 18:41:12 2026 A3: 0 Mon May 4 18:41:12 2026 A4: 0 Mon May 4 18:41:12 2026 A5: 0 Mon May 4 18:41:12 2026 A6: 1 Mon May 4 18:41:12 2026 skew 4.05, size 2.562e-13, alpha 1.638, combined = 4.379e-14 rroots = 2 Mon May 4 18:41:12 2026 Mon May 4 18:41:12 2026 commencing linear algebra Mon May 4 18:41:12 2026 using VBITS=256 Mon May 4 18:41:12 2026 stopping after matrix build Mon May 4 18:41:12 2026 initialized process (0,0) of 1 x 1 grid Mon May 4 18:41:15 2026 read 22210988 cycles Mon May 4 18:41:58 2026 cycles contain 75679502 unique relations Mon May 4 18:42:32 2026 read 75679502 relations Mon May 4 18:42:39 2026 using 20 quadratic characters above 4294917295 Mon May 4 18:42:49 2026 building initial matrix Mon May 4 18:55:34 2026 memory use: 9795.1 MB Mon May 4 18:55:55 2026 read 22210988 cycles Mon May 4 18:55:57 2026 matrix is 22210809 x 22210988 (9725.1 MB) with weight 2774484311 (124.91/col) Mon May 4 18:55:57 2026 sparse part has weight 2305056163 (103.78/col) Mon May 4 19:00:20 2026 filtering completed in 2 passes Mon May 4 19:00:23 2026 matrix is 22208102 x 22208275 (9724.8 MB) with weight 2774385093 (124.93/col) Mon May 4 19:00:23 2026 sparse part has weight 2305015001 (103.79/col) Mon May 4 19:01:20 2026 BLanczosTime: 1208 Mon May 4 19:01:20 2026 elapsed time 00:20:08 Mon May 4 19:01:27 2026 Mon May 4 19:01:27 2026 Mon May 4 19:01:27 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon May 4 19:01:27 2026 random seeds: f76edffd 0c88058f Mon May 4 19:01:27 2026 MPI process 0 of 4 Mon May 4 19:01:27 2026 Using 15 OpenMP threads Mon May 4 19:01:27 2026 factoring 3705855242206316918729041666396395353348168063668141980059835447340290515729174797169936156475361349533392531168638893099727805711756597241605671828673416659945658875365543690952290557664364054541048262799860444986119331166186482510348994538425456622612003501 (259 digits) Mon May 4 19:01:27 2026 no P-1/P+1/ECM available, skipping Mon May 4 19:01:27 2026 commencing number field sieve (259-digit input) Mon May 4 19:01:27 2026 R0: 1 Mon May 4 19:01:27 2026 R1: -12439736820433679214598960433785667193847249 Mon May 4 19:01:27 2026 A0: -20393 Mon May 4 19:01:27 2026 A1: 0 Mon May 4 19:01:27 2026 A2: 0 Mon May 4 19:01:27 2026 A3: 0 Mon May 4 19:01:27 2026 A4: 0 Mon May 4 19:01:27 2026 A5: 0 Mon May 4 19:01:27 2026 A6: 1 Mon May 4 19:01:27 2026 skew 4.05, size 2.562e-13, alpha 1.638, combined = 4.379e-14 rroots = 2 Mon May 4 19:01:27 2026 Mon May 4 19:01:27 2026 commencing linear algebra Mon May 4 19:01:27 2026 using VBITS=256 Mon May 4 19:01:27 2026 skipping matrix build Mon May 4 19:01:27 2026 initialized process (0,0) of 2 x 2 grid Mon May 4 19:01:38 2026 matrix starts at (0, 0) Mon May 4 19:01:38 2026 matrix is 11104171 x 11104133 (2850.7 MB) with weight 859830733 (77.43/col) Mon May 4 19:01:38 2026 sparse part has weight 625143065 (56.30/col) Mon May 4 19:01:38 2026 saving the first 240 matrix rows for later Mon May 4 19:01:40 2026 matrix includes 256 packed rows Mon May 4 19:01:42 2026 matrix is 11103931 x 11104133 (2539.3 MB) with weight 527492401 (47.50/col) Mon May 4 19:01:42 2026 sparse part has weight 488005428 (43.95/col) Mon May 4 19:01:42 2026 using GPU 0 (NVIDIA H200) Mon May 4 19:01:42 2026 selected card has CUDA arch 9.0 Mon May 4 19:02:13 2026 commencing Lanczos iteration Mon May 4 19:02:13 2026 memory use: 5841.1 MB Mon May 4 19:02:19 2026 linear algebra at 0.1%, ETA 1h 0m Mon May 4 19:02:26 2026 checking every 380000 dimensions, checkpointing every 23180000 dimensions Mon May 4 20:02:29 2026 lanczos halted after 87010 iterations (dim = 22207860) Mon May 4 20:03:47 2026 recovered 32 nontrivial dependencies Mon May 4 20:03:48 2026 BLanczosTime: 3741 Mon May 4 20:03:48 2026 elapsed time 01:02:21 Mon May 4 20:03:49 2026 Mon May 4 20:03:49 2026 Mon May 4 20:03:49 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon May 4 20:03:49 2026 random seeds: 61f8ac95 1d7b8c9e Mon May 4 20:03:49 2026 MPI process 0 of 1 Mon May 4 20:03:49 2026 Using 32 OpenMP threads Mon May 4 20:03:49 2026 factoring 3705855242206316918729041666396395353348168063668141980059835447340290515729174797169936156475361349533392531168638893099727805711756597241605671828673416659945658875365543690952290557664364054541048262799860444986119331166186482510348994538425456622612003501 (259 digits) Mon May 4 20:03:50 2026 no P-1/P+1/ECM available, skipping Mon May 4 20:03:50 2026 commencing number field sieve (259-digit input) Mon May 4 20:03:50 2026 R0: 1 Mon May 4 20:03:50 2026 R1: -12439736820433679214598960433785667193847249 Mon May 4 20:03:50 2026 A0: -20393 Mon May 4 20:03:50 2026 A1: 0 Mon May 4 20:03:50 2026 A2: 0 Mon May 4 20:03:50 2026 A3: 0 Mon May 4 20:03:50 2026 A4: 0 Mon May 4 20:03:50 2026 A5: 0 Mon May 4 20:03:50 2026 A6: 1 Mon May 4 20:03:50 2026 skew 4.05, size 2.562e-13, alpha 1.638, combined = 4.379e-14 rroots = 2 Mon May 4 20:03:50 2026 Mon May 4 20:03:50 2026 commencing square root phase Mon May 4 20:03:50 2026 reading relations for dependency 1 Mon May 4 20:03:52 2026 read 11103364 cycles Mon May 4 20:04:11 2026 cycles contain 37831026 unique relations Mon May 4 20:04:37 2026 read 37831026 relations Mon May 4 20:07:01 2026 multiplying 37831026 relations Mon May 4 20:08:45 2026 multiply complete, coefficients have about 1037.53 million bits Mon May 4 20:08:47 2026 initial square root is modulo 2033377789 Mon May 4 20:13:53 2026 sqrtTime: 603 Mon May 4 20:13:53 2026 p106 factor: 5039730331400051288869668721553631870607414765469310817406232468997037412129270583950767923485750144809689 Mon May 4 20:13:53 2026 p153 factor: 735328082758114537593022558001238732342631094759774568879751643303827245907727826680352289846088300053227377732010725919629612768009570378456631514206709 Mon May 4 20:13:53 2026 elapsed time 00:10:04