Sat Mar 7 09:37:20 2026 Sat Mar 7 09:37:20 2026 Sat Mar 7 09:37:20 2026 Msieve v. 1.54 (SVN Unversioned directory) Sat Mar 7 09:37:20 2026 random seeds: af1ec0b5 e57dff90 Sat Mar 7 09:37:20 2026 factoring 5388865583324683880912797829729174447081883751811913283110491429548567721410249394918533947976208218954277397812698885503550148278284878702707643211321553155128267129761640202074108334823600216512260884549758232260922987 (220 digits) Sat Mar 7 09:37:21 2026 searching for 15-digit factors Sat Mar 7 09:37:22 2026 commencing number field sieve (220-digit input) Sat Mar 7 09:37:22 2026 R0: 22696017732699927560647116127469163410 Sat Mar 7 09:37:22 2026 R1: -4764033766956309847 Sat Mar 7 09:37:22 2026 A0: -1 Sat Mar 7 09:37:22 2026 A1: 3 Sat Mar 7 09:37:22 2026 A2: 6 Sat Mar 7 09:37:22 2026 A3: -4 Sat Mar 7 09:37:22 2026 A4: -5 Sat Mar 7 09:37:22 2026 A5: 1 Sat Mar 7 09:37:22 2026 A6: 1 Sat Mar 7 09:37:22 2026 skew 1.37, size 4.782e-11, alpha 3.126, combined = 1.953e-12 rroots = 6 Sat Mar 7 09:37:22 2026 Sat Mar 7 09:37:22 2026 commencing relation filtering Sat Mar 7 09:37:22 2026 setting target matrix density to 92.0 Sat Mar 7 09:37:22 2026 estimated available RAM is 15938.6 MB Sat Mar 7 09:37:22 2026 commencing duplicate removal, pass 1 Sat Mar 7 09:49:46 2026 skipped 2 relations with b > 2^32 Sat Mar 7 09:49:46 2026 found 2744237 hash collisions in 78658241 relations Sat Mar 7 09:49:46 2026 commencing duplicate removal, pass 2 Sat Mar 7 09:50:17 2026 found 0 duplicates and 78658241 unique relations Sat Mar 7 09:50:17 2026 memory use: 253.2 MB Sat Mar 7 09:50:17 2026 reading ideals above 35979264 Sat Mar 7 09:50:17 2026 commencing singleton removal, initial pass Sat Mar 7 10:01:15 2026 memory use: 1506.0 MB Sat Mar 7 10:01:16 2026 reading all ideals from disk Sat Mar 7 10:01:18 2026 memory use: 1525.1 MB Sat Mar 7 10:01:24 2026 commencing in-memory singleton removal Sat Mar 7 10:01:30 2026 begin with 78658241 relations and 76773893 unique ideals Sat Mar 7 10:02:46 2026 reduce to 38444060 relations and 31030480 ideals in 20 passes Sat Mar 7 10:02:46 2026 max relations containing the same ideal: 44 Sat Mar 7 10:02:50 2026 reading ideals above 720000 Sat Mar 7 10:02:51 2026 commencing singleton removal, initial pass Sat Mar 7 10:10:04 2026 memory use: 753.0 MB Sat Mar 7 10:10:04 2026 reading all ideals from disk Sat Mar 7 10:10:05 2026 memory use: 1399.6 MB Sat Mar 7 10:10:12 2026 keeping 35241342 ideals with weight <= 200, target excess is 194782 Sat Mar 7 10:10:19 2026 commencing in-memory singleton removal Sat Mar 7 10:10:25 2026 begin with 38444061 relations and 35241342 unique ideals Sat Mar 7 10:10:56 2026 reduce to 38443998 relations and 35241275 ideals in 5 passes Sat Mar 7 10:10:56 2026 max relations containing the same ideal: 200 Sat Mar 7 10:11:27 2026 removing 3507148 relations and 3107148 ideals in 400000 cliques Sat Mar 7 10:11:29 2026 commencing in-memory singleton removal Sat Mar 7 10:11:34 2026 begin with 34936850 relations and 35241275 unique ideals Sat Mar 7 10:12:36 2026 reduce to 34610027 relations and 31802239 ideals in 11 passes Sat Mar 7 10:12:36 2026 max relations containing the same ideal: 195 Sat Mar 7 10:13:05 2026 removing 2605569 relations and 2205569 ideals in 400000 cliques Sat Mar 7 10:13:07 2026 commencing in-memory singleton removal Sat Mar 7 10:13:12 2026 begin with 32004458 relations and 31802239 unique ideals Sat Mar 7 10:14:08 2026 reduce to 31813980 relations and 29403700 ideals in 11 passes Sat Mar 7 10:14:08 2026 max relations containing the same ideal: 188 Sat Mar 7 10:14:34 2026 removing 2323155 relations and 1923155 ideals in 400000 cliques Sat Mar 7 10:14:36 2026 commencing in-memory singleton removal Sat Mar 7 10:14:40 2026 begin with 29490825 relations and 29403700 unique ideals Sat Mar 7 10:15:22 2026 reduce to 29331326 relations and 27319042 ideals in 9 passes Sat Mar 7 10:15:22 2026 max relations containing the same ideal: 177 Sat Mar 7 10:15:45 2026 removing 2181478 relations and 1781478 ideals in 400000 cliques Sat Mar 7 10:15:47 2026 commencing in-memory singleton removal Sat Mar 7 10:15:50 2026 begin with 27149848 relations and 27319042 unique ideals Sat Mar 7 10:16:29 2026 reduce to 27002015 relations and 25387700 ideals in 9 passes Sat Mar 7 10:16:29 2026 max relations containing the same ideal: 167 Sat Mar 7 10:16:51 2026 removing 2095772 relations and 1695772 ideals in 400000 cliques Sat Mar 7 10:16:53 2026 commencing in-memory singleton removal Sat Mar 7 10:16:56 2026 begin with 24906243 relations and 25387700 unique ideals Sat Mar 7 10:17:32 2026 reduce to 24760508 relations and 23544080 ideals in 9 passes Sat Mar 7 10:17:32 2026 max relations containing the same ideal: 157 Sat Mar 7 10:17:52 2026 removing 2041349 relations and 1641349 ideals in 400000 cliques Sat Mar 7 10:17:53 2026 commencing in-memory singleton removal Sat Mar 7 10:17:57 2026 begin with 22719159 relations and 23544080 unique ideals Sat Mar 7 10:18:30 2026 reduce to 22567997 relations and 21749258 ideals in 9 passes Sat Mar 7 10:18:30 2026 max relations containing the same ideal: 147 Sat Mar 7 10:18:49 2026 removing 2012389 relations and 1612389 ideals in 400000 cliques Sat Mar 7 10:18:50 2026 commencing in-memory singleton removal Sat Mar 7 10:18:53 2026 begin with 20555608 relations and 21749258 unique ideals Sat Mar 7 10:19:18 2026 reduce to 20394367 relations and 19973038 ideals in 8 passes Sat Mar 7 10:19:18 2026 max relations containing the same ideal: 137 Sat Mar 7 10:19:36 2026 removing 1133828 relations and 938447 ideals in 195381 cliques Sat Mar 7 10:19:37 2026 commencing in-memory singleton removal Sat Mar 7 10:19:39 2026 begin with 19260539 relations and 19973038 unique ideals Sat Mar 7 10:20:00 2026 reduce to 19207139 relations and 18980733 ideals in 7 passes Sat Mar 7 10:20:00 2026 max relations containing the same ideal: 131 Sat Mar 7 10:20:21 2026 relations with 0 large ideals: 14135 Sat Mar 7 10:20:21 2026 relations with 1 large ideals: 1163 Sat Mar 7 10:20:21 2026 relations with 2 large ideals: 13631 Sat Mar 7 10:20:21 2026 relations with 3 large ideals: 130704 Sat Mar 7 10:20:21 2026 relations with 4 large ideals: 695599 Sat Mar 7 10:20:21 2026 relations with 5 large ideals: 2197393 Sat Mar 7 10:20:21 2026 relations with 6 large ideals: 4282633 Sat Mar 7 10:20:21 2026 relations with 7+ large ideals: 11871881 Sat Mar 7 10:20:21 2026 commencing 2-way merge Sat Mar 7 10:20:43 2026 reduce to 11652825 relation sets and 11426419 unique ideals Sat Mar 7 10:20:43 2026 commencing full merge Sat Mar 7 10:27:22 2026 memory use: 1542.4 MB Sat Mar 7 10:27:23 2026 found 5511294 cycles, need 5498619 Sat Mar 7 10:27:26 2026 weight of 5498619 cycles is about 506356264 (92.09/cycle) Sat Mar 7 10:27:26 2026 distribution of cycle lengths: Sat Mar 7 10:27:26 2026 1 relations: 559172 Sat Mar 7 10:27:26 2026 2 relations: 505413 Sat Mar 7 10:27:26 2026 3 relations: 484700 Sat Mar 7 10:27:26 2026 4 relations: 449492 Sat Mar 7 10:27:26 2026 5 relations: 423945 Sat Mar 7 10:27:26 2026 6 relations: 393084 Sat Mar 7 10:27:26 2026 7 relations: 362456 Sat Mar 7 10:27:26 2026 8 relations: 329398 Sat Mar 7 10:27:26 2026 9 relations: 299837 Sat Mar 7 10:27:26 2026 10+ relations: 1691122 Sat Mar 7 10:27:26 2026 heaviest cycle: 28 relations Sat Mar 7 10:27:28 2026 commencing cycle optimization Sat Mar 7 10:27:46 2026 start with 41020737 relations Sat Mar 7 10:29:50 2026 pruned 1194833 relations Sat Mar 7 10:29:51 2026 memory use: 1209.4 MB Sat Mar 7 10:29:51 2026 distribution of cycle lengths: Sat Mar 7 10:29:51 2026 1 relations: 559172 Sat Mar 7 10:29:51 2026 2 relations: 514823 Sat Mar 7 10:29:51 2026 3 relations: 500034 Sat Mar 7 10:29:51 2026 4 relations: 461533 Sat Mar 7 10:29:51 2026 5 relations: 437188 Sat Mar 7 10:29:51 2026 6 relations: 402882 Sat Mar 7 10:29:51 2026 7 relations: 371109 Sat Mar 7 10:29:51 2026 8 relations: 335698 Sat Mar 7 10:29:51 2026 9 relations: 305278 Sat Mar 7 10:29:51 2026 10+ relations: 1610902 Sat Mar 7 10:29:51 2026 heaviest cycle: 28 relations Sat Mar 7 10:30:06 2026 RelProcTime: 3164 Sat Mar 7 10:30:06 2026 Sat Mar 7 10:30:06 2026 commencing linear algebra Sat Mar 7 10:30:06 2026 using VBITS=512 Sat Mar 7 10:30:07 2026 read 5498619 cycles Sat Mar 7 10:30:23 2026 cycles contain 19022735 unique relations Sat Mar 7 10:32:20 2026 read 19022735 relations Sat Mar 7 10:33:01 2026 using 20 quadratic characters above 4294917295 Sat Mar 7 10:34:55 2026 building initial matrix Sat Mar 7 10:40:45 2026 memory use: 2286.6 MB Sat Mar 7 10:40:49 2026 read 5498619 cycles Sat Mar 7 10:40:50 2026 matrix is 5498442 x 5498619 (2055.1 MB) with weight 585414734 (106.47/col) Sat Mar 7 10:40:50 2026 sparse part has weight 483738435 (87.97/col) Sat Mar 7 10:42:20 2026 filtering completed in 2 passes Sat Mar 7 10:42:21 2026 matrix is 5497769 x 5497912 (2055.0 MB) with weight 585396502 (106.48/col) Sat Mar 7 10:42:21 2026 sparse part has weight 483733181 (87.98/col) Sat Mar 7 10:42:50 2026 matrix starts at (0, 0) Sat Mar 7 10:42:51 2026 matrix is 5497769 x 5497912 (2055.0 MB) with weight 585396502 (106.48/col) Sat Mar 7 10:42:51 2026 sparse part has weight 483733181 (87.98/col) Sat Mar 7 10:42:51 2026 saving the first 496 matrix rows for later Sat Mar 7 10:42:55 2026 matrix includes 512 packed rows Sat Mar 7 10:43:03 2026 matrix is 5497273 x 5497912 (1995.3 MB) with weight 413907423 (75.28/col) Sat Mar 7 10:43:03 2026 sparse part has weight 391105255 (71.14/col) Sat Mar 7 11:06:08 2026 Sat Mar 7 11:06:08 2026 Sat Mar 7 11:06:08 2026 Msieve v. 1.54 (SVN unknown) Sat Mar 7 11:06:08 2026 random seeds: e3d2df3b e6e55f2a Sat Mar 7 11:06:08 2026 factoring 5388865583324683880912797829729174447081883751811913283110491429548567721410249394918533947976208218954277397812698885503550148278284878702707643211321553155128267129761640202074108334823600216512260884549758232260922987 (220 digits) Sat Mar 7 11:06:09 2026 no P-1/P+1/ECM available, skipping Sat Mar 7 11:06:09 2026 commencing number field sieve (220-digit input) Sat Mar 7 11:06:09 2026 R0: 22696017732699927560647116127469163410 Sat Mar 7 11:06:09 2026 R1: -4764033766956309847 Sat Mar 7 11:06:09 2026 A0: -1 Sat Mar 7 11:06:09 2026 A1: 3 Sat Mar 7 11:06:09 2026 A2: 6 Sat Mar 7 11:06:09 2026 A3: -4 Sat Mar 7 11:06:09 2026 A4: -5 Sat Mar 7 11:06:09 2026 A5: 1 Sat Mar 7 11:06:09 2026 A6: 1 Sat Mar 7 11:06:09 2026 skew 1.37, size 4.782e-11, alpha 3.126, combined = 1.953e-12 rroots = 6 Sat Mar 7 11:06:09 2026 Sat Mar 7 11:06:09 2026 commencing linear algebra Sat Mar 7 11:06:09 2026 using VBITS=512 Sat Mar 7 11:06:09 2026 skipping matrix build Sat Mar 7 11:06:10 2026 matrix starts at (0, 0) Sat Mar 7 11:06:11 2026 matrix is 5497769 x 5497912 (2055.0 MB) with weight 585396502 (106.48/col) Sat Mar 7 11:06:11 2026 sparse part has weight 483733181 (87.98/col) Sat Mar 7 11:06:11 2026 saving the first 496 matrix rows for later Sat Mar 7 11:06:13 2026 matrix includes 512 packed rows Sat Mar 7 11:06:17 2026 matrix is 5497273 x 5497912 (1995.3 MB) with weight 413907423 (75.28/col) Sat Mar 7 11:06:17 2026 sparse part has weight 391105255 (71.14/col) Sat Mar 7 11:06:17 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Sat Mar 7 11:06:17 2026 selected card has CUDA arch 8.6 Sat Mar 7 11:07:05 2026 commencing Lanczos iteration Sat Mar 7 11:07:05 2026 memory use: 6108.9 MB Sat Mar 7 11:07:24 2026 linear algebra at 0.3%, ETA 1h47m Sat Mar 7 11:07:25 2026 checkpointing every 3010000 dimensions Sat Mar 7 12:56:57 2026 lanczos halted after 10754 iterations (dim = 5497272) Sat Mar 7 12:58:55 2026 recovered 33 nontrivial dependencies Sat Mar 7 12:58:55 2026 BLanczosTime: 6766 Sat Mar 7 12:58:55 2026 Sat Mar 7 12:58:55 2026 commencing square root phase Sat Mar 7 12:58:55 2026 handling dependencies 1 to 64 Sat Mar 7 12:58:55 2026 reading relations for dependency 1 Sat Mar 7 12:58:56 2026 read 2748219 cycles Sat Mar 7 12:59:01 2026 cycles contain 9513604 unique relations Sat Mar 7 12:59:01 2026 error: relation 0 corrupt Sat Mar 7 14:37:34 2026 Sat Mar 7 14:37:34 2026 Sat Mar 7 14:37:34 2026 Msieve v. 1.54 (SVN Unversioned directory) Sat Mar 7 14:37:34 2026 random seeds: 3666e387 ef394089 Sat Mar 7 14:37:34 2026 factoring 5388865583324683880912797829729174447081883751811913283110491429548567721410249394918533947976208218954277397812698885503550148278284878702707643211321553155128267129761640202074108334823600216512260884549758232260922987 (220 digits) Sat Mar 7 14:37:36 2026 searching for 15-digit factors Sat Mar 7 14:37:37 2026 commencing number field sieve (220-digit input) Sat Mar 7 14:37:37 2026 R0: 22696017732699927560647116127469163410 Sat Mar 7 14:37:37 2026 R1: -4764033766956309847 Sat Mar 7 14:37:37 2026 A0: -1 Sat Mar 7 14:37:37 2026 A1: 3 Sat Mar 7 14:37:37 2026 A2: 6 Sat Mar 7 14:37:37 2026 A3: -4 Sat Mar 7 14:37:37 2026 A4: -5 Sat Mar 7 14:37:37 2026 A5: 1 Sat Mar 7 14:37:37 2026 A6: 1 Sat Mar 7 14:37:37 2026 skew 1.37, size 4.782e-11, alpha 3.126, combined = 1.953e-12 rroots = 6 Sat Mar 7 14:37:37 2026 Sat Mar 7 14:37:37 2026 commencing square root phase Sat Mar 7 14:37:37 2026 reading relations for dependency 1 Sat Mar 7 14:37:38 2026 read 2748219 cycles Sat Mar 7 14:37:45 2026 cycles contain 9513604 unique relations Sat Mar 7 14:38:38 2026 read 9513604 relations Sat Mar 7 14:39:42 2026 multiplying 9513604 relations Sat Mar 7 14:48:12 2026 multiply complete, coefficients have about 226.79 million bits Sat Mar 7 14:48:14 2026 initial square root is modulo 137681837 Sat Mar 7 14:57:08 2026 sqrtTime: 1171 Sat Mar 7 14:57:08 2026 p109 factor: 2687026526632705691397384530730614798392777364101888460134540039482768707984375800155901481164576488623780023 Sat Mar 7 14:57:08 2026 p112 factor: 2005512610282204798084684799439216314625010469084706880803067245254513080720898872994180955170865911230557221869 Sat Mar 7 14:57:08 2026 elapsed time 00:19:34