Tue Mar 3 16:02:22 2026 Tue Mar 3 16:02:22 2026 Tue Mar 3 16:02:22 2026 Msieve v. 1.54 (SVN unknown) Tue Mar 3 16:02:22 2026 random seeds: 62b73e90 5a5c9c98 Tue Mar 3 16:02:22 2026 factoring 19359929587858248818526080602233024825832966002101781992078921606370697186709671575773411743607761560358789631423843802727846294014455124379275803361907060328086349967953718122810258702541128485385071 (200 digits) Tue Mar 3 16:02:22 2026 no P-1/P+1/ECM available, skipping Tue Mar 3 16:02:22 2026 commencing number field sieve (200-digit input) Tue Mar 3 16:02:22 2026 R0: 240511486418621718945012873953076193322 Tue Mar 3 16:02:22 2026 R1: -15508432751848966861 Tue Mar 3 16:02:22 2026 A0: -1 Tue Mar 3 16:02:22 2026 A1: 3 Tue Mar 3 16:02:22 2026 A2: 6 Tue Mar 3 16:02:22 2026 A3: -4 Tue Mar 3 16:02:22 2026 A4: -5 Tue Mar 3 16:02:22 2026 A5: 1 Tue Mar 3 16:02:22 2026 A6: 1 Tue Mar 3 16:02:22 2026 skew 1.37, size 2.436e-11, alpha 3.126, combined = 1.201e-12 rroots = 6 Tue Mar 3 16:02:22 2026 Tue Mar 3 16:02:22 2026 commencing relation filtering Tue Mar 3 16:02:22 2026 setting target matrix density to 105.0 Tue Mar 3 16:02:22 2026 estimated available RAM is 95911.2 MB Tue Mar 3 16:02:22 2026 commencing duplicate removal, pass 1 Tue Mar 3 16:04:14 2026 error -5 reading relation 21163798 Tue Mar 3 16:04:32 2026 error -9 reading relation 24521520 Tue Mar 3 16:05:35 2026 error -9 reading relation 37337441 Tue Mar 3 16:06:35 2026 error -9 reading relation 49190204 Tue Mar 3 16:08:34 2026 error -9 reading relation 74125998 Tue Mar 3 16:09:18 2026 error -9 reading relation 83266694 Tue Mar 3 16:09:51 2026 error -9 reading relation 89945127 Tue Mar 3 16:09:59 2026 error -9 reading relation 91542179 Tue Mar 3 16:10:15 2026 error -15 reading relation 95177908 Tue Mar 3 16:10:50 2026 error -15 reading relation 103326558 Tue Mar 3 16:11:43 2026 error -9 reading relation 115285744 Tue Mar 3 16:11:45 2026 error -9 reading relation 115780865 Tue Mar 3 16:12:28 2026 error -15 reading relation 125302202 Tue Mar 3 16:12:53 2026 skipped 7 relations with b > 2^32 Tue Mar 3 16:12:53 2026 skipped 9 relations with composite factors Tue Mar 3 16:12:53 2026 found 25696104 hash collisions in 131091128 relations Tue Mar 3 16:12:59 2026 added 2438358 free relations Tue Mar 3 16:12:59 2026 commencing duplicate removal, pass 2 Tue Mar 3 16:15:49 2026 found 24573223 duplicates and 108956263 unique relations Tue Mar 3 16:15:49 2026 memory use: 660.8 MB Tue Mar 3 16:15:49 2026 reading ideals above 720000 Tue Mar 3 16:15:49 2026 commencing singleton removal, initial pass Tue Mar 3 16:27:03 2026 memory use: 3012.0 MB Tue Mar 3 16:27:03 2026 reading all ideals from disk Tue Mar 3 16:27:05 2026 memory use: 4062.1 MB Tue Mar 3 16:27:08 2026 keeping 112166560 ideals with weight <= 200, target excess is 561278 Tue Mar 3 16:27:15 2026 commencing in-memory singleton removal Tue Mar 3 16:27:18 2026 begin with 108956263 relations and 112166560 unique ideals Tue Mar 3 16:28:33 2026 reduce to 50530385 relations and 45159475 ideals in 18 passes Tue Mar 3 16:28:33 2026 max relations containing the same ideal: 123 Tue Mar 3 16:28:47 2026 removing 6721341 relations and 5721341 ideals in 1000000 cliques Tue Mar 3 16:28:49 2026 commencing in-memory singleton removal Tue Mar 3 16:28:50 2026 begin with 43809044 relations and 45159475 unique ideals Tue Mar 3 16:29:23 2026 reduce to 42962781 relations and 38569540 ideals in 11 passes Tue Mar 3 16:29:23 2026 max relations containing the same ideal: 112 Tue Mar 3 16:29:35 2026 removing 5222754 relations and 4222754 ideals in 1000000 cliques Tue Mar 3 16:29:36 2026 commencing in-memory singleton removal Tue Mar 3 16:29:37 2026 begin with 37740027 relations and 38569540 unique ideals Tue Mar 3 16:30:04 2026 reduce to 37177030 relations and 33770255 ideals in 9 passes Tue Mar 3 16:30:04 2026 max relations containing the same ideal: 102 Tue Mar 3 16:30:14 2026 removing 4761206 relations and 3761206 ideals in 1000000 cliques Tue Mar 3 16:30:16 2026 commencing in-memory singleton removal Tue Mar 3 16:30:17 2026 begin with 32415824 relations and 33770255 unique ideals Tue Mar 3 16:30:45 2026 reduce to 31895095 relations and 29474662 ideals in 11 passes Tue Mar 3 16:30:45 2026 max relations containing the same ideal: 90 Tue Mar 3 16:30:54 2026 removing 4524125 relations and 3524125 ideals in 1000000 cliques Tue Mar 3 16:30:55 2026 commencing in-memory singleton removal Tue Mar 3 16:30:56 2026 begin with 27370970 relations and 29474662 unique ideals Tue Mar 3 16:31:13 2026 reduce to 26834985 relations and 25398887 ideals in 11 passes Tue Mar 3 16:31:13 2026 max relations containing the same ideal: 83 Tue Mar 3 16:31:21 2026 removing 3635753 relations and 2850738 ideals in 785015 cliques Tue Mar 3 16:31:22 2026 commencing in-memory singleton removal Tue Mar 3 16:31:22 2026 begin with 23199232 relations and 25398887 unique ideals Tue Mar 3 16:31:35 2026 reduce to 22803078 relations and 22141258 ideals in 10 passes Tue Mar 3 16:31:35 2026 max relations containing the same ideal: 73 Tue Mar 3 16:31:41 2026 removing 104111 relations and 93374 ideals in 10737 cliques Tue Mar 3 16:31:42 2026 commencing in-memory singleton removal Tue Mar 3 16:31:42 2026 begin with 22698967 relations and 22141258 unique ideals Tue Mar 3 16:31:48 2026 reduce to 22698712 relations and 22047627 ideals in 5 passes Tue Mar 3 16:31:48 2026 max relations containing the same ideal: 73 Tue Mar 3 16:31:51 2026 relations with 0 large ideals: 43004 Tue Mar 3 16:31:51 2026 relations with 1 large ideals: 11599 Tue Mar 3 16:31:51 2026 relations with 2 large ideals: 141710 Tue Mar 3 16:31:51 2026 relations with 3 large ideals: 858125 Tue Mar 3 16:31:51 2026 relations with 4 large ideals: 2777858 Tue Mar 3 16:31:51 2026 relations with 5 large ideals: 5272808 Tue Mar 3 16:31:51 2026 relations with 6 large ideals: 6097281 Tue Mar 3 16:31:51 2026 relations with 7+ large ideals: 7496327 Tue Mar 3 16:31:51 2026 commencing 2-way merge Tue Mar 3 16:32:00 2026 reduce to 13736952 relation sets and 13085867 unique ideals Tue Mar 3 16:32:00 2026 commencing full merge Tue Mar 3 16:35:21 2026 memory use: 1781.6 MB Tue Mar 3 16:35:22 2026 found 6306692 cycles, need 6288067 Tue Mar 3 16:35:22 2026 weight of 6288067 cycles is about 660406014 (105.03/cycle) Tue Mar 3 16:35:22 2026 distribution of cycle lengths: Tue Mar 3 16:35:22 2026 1 relations: 522991 Tue Mar 3 16:35:22 2026 2 relations: 511856 Tue Mar 3 16:35:22 2026 3 relations: 501334 Tue Mar 3 16:35:22 2026 4 relations: 474105 Tue Mar 3 16:35:22 2026 5 relations: 453492 Tue Mar 3 16:35:22 2026 6 relations: 429959 Tue Mar 3 16:35:22 2026 7 relations: 401297 Tue Mar 3 16:35:22 2026 8 relations: 375957 Tue Mar 3 16:35:22 2026 9 relations: 347920 Tue Mar 3 16:35:22 2026 10+ relations: 2269156 Tue Mar 3 16:35:22 2026 heaviest cycle: 28 relations Tue Mar 3 16:35:24 2026 commencing cycle optimization Tue Mar 3 16:35:31 2026 start with 52301479 relations Tue Mar 3 16:36:45 2026 pruned 1916789 relations Tue Mar 3 16:36:45 2026 memory use: 1460.0 MB Tue Mar 3 16:36:45 2026 distribution of cycle lengths: Tue Mar 3 16:36:45 2026 1 relations: 522991 Tue Mar 3 16:36:45 2026 2 relations: 521178 Tue Mar 3 16:36:45 2026 3 relations: 517881 Tue Mar 3 16:36:45 2026 4 relations: 488845 Tue Mar 3 16:36:45 2026 5 relations: 470993 Tue Mar 3 16:36:45 2026 6 relations: 444490 Tue Mar 3 16:36:45 2026 7 relations: 416675 Tue Mar 3 16:36:45 2026 8 relations: 387746 Tue Mar 3 16:36:45 2026 9 relations: 358209 Tue Mar 3 16:36:45 2026 10+ relations: 2159059 Tue Mar 3 16:36:45 2026 heaviest cycle: 28 relations Tue Mar 3 16:36:50 2026 RelProcTime: 2068 Tue Mar 3 16:36:50 2026 Tue Mar 3 16:36:50 2026 commencing linear algebra Tue Mar 3 16:36:51 2026 read 6288067 cycles Tue Mar 3 16:36:57 2026 cycles contain 22208160 unique relations Tue Mar 3 16:38:53 2026 read 22208160 relations Tue Mar 3 16:39:17 2026 using 20 quadratic characters above 4294917295 Tue Mar 3 16:40:13 2026 building initial matrix Tue Mar 3 16:42:24 2026 memory use: 2656.1 MB Tue Mar 3 16:42:28 2026 read 6288067 cycles Tue Mar 3 16:42:28 2026 matrix is 6287890 x 6288067 (2619.5 MB) with weight 742521160 (118.08/col) Tue Mar 3 16:42:28 2026 sparse part has weight 623794914 (99.20/col) Tue Mar 3 16:43:03 2026 filtering completed in 2 passes Tue Mar 3 16:43:04 2026 matrix is 6287389 x 6287566 (2619.4 MB) with weight 742505036 (118.09/col) Tue Mar 3 16:43:04 2026 sparse part has weight 623788421 (99.21/col) Tue Mar 3 16:43:12 2026 matrix starts at (0, 0) Tue Mar 3 16:43:15 2026 matrix is 6287389 x 6287566 (2619.4 MB) with weight 742505036 (118.09/col) Tue Mar 3 16:43:15 2026 sparse part has weight 623788421 (99.21/col) Tue Mar 3 16:43:15 2026 saving the first 48 matrix rows for later Tue Mar 3 16:43:16 2026 matrix includes 64 packed rows Tue Mar 3 16:43:17 2026 matrix is 6287341 x 6287566 (2514.7 MB) with weight 635431899 (101.06/col) Tue Mar 3 16:43:17 2026 sparse part has weight 596327241 (94.84/col) Tue Mar 3 16:43:17 2026 using block size 8192 and superblock size 18874368 for processor cache size 196608 kB Tue Mar 3 16:43:35 2026 commencing Lanczos iteration (16 threads) Tue Mar 3 16:43:35 2026 memory use: 2416.9 MB Tue Mar 3 16:43:40 2026 linear algebra at 0.0%, ETA 5h44m Tue Mar 3 16:43:42 2026 checkpointing every 1050000 dimensions Tue Mar 3 22:18:12 2026 lanczos halted after 99423 iterations (dim = 6287338) Tue Mar 3 22:18:15 2026 recovered 32 nontrivial dependencies Tue Mar 3 22:18:15 2026 BLanczosTime: 20485 Tue Mar 3 22:18:15 2026 Tue Mar 3 22:18:15 2026 commencing square root phase Tue Mar 3 22:18:15 2026 handling dependencies 1 to 64 Tue Mar 3 22:18:15 2026 reading relations for dependency 1 Tue Mar 3 22:18:16 2026 read 3145307 cycles Tue Mar 3 22:18:20 2026 cycles contain 11105798 unique relations Tue Mar 3 22:19:38 2026 read 11105798 relations Tue Mar 3 22:20:14 2026 multiplying 11105798 relations Tue Mar 3 22:25:25 2026 multiply complete, coefficients have about 267.53 million bits Tue Mar 3 22:25:26 2026 initial square root is modulo 63199 Tue Mar 3 22:30:52 2026 GCD is 1, no factor found Tue Mar 3 22:30:52 2026 reading relations for dependency 2 Tue Mar 3 22:30:53 2026 read 3142288 cycles Tue Mar 3 22:30:58 2026 cycles contain 11101532 unique relations Tue Mar 3 22:32:39 2026 read 11101532 relations Tue Mar 3 22:33:17 2026 multiplying 11101532 relations Tue Mar 3 22:38:17 2026 multiply complete, coefficients have about 267.42 million bits Tue Mar 3 22:38:18 2026 initial square root is modulo 62927 Tue Mar 3 22:43:42 2026 sqrtTime: 1527 Tue Mar 3 22:43:42 2026 p67 factor: 3630882958775254818381441959646277458925812106268472140392294899977 Tue Mar 3 22:43:42 2026 p133 factor: 5332016979800585729385555377261066646970238297608805476823101939751298730592447633332435588898681055795330688630057844022065000752823 Tue Mar 3 22:43:42 2026 elapsed time 06:41:20