Sat Jan 4 14:51:40 2025 Sat Jan 4 14:51:40 2025 Sat Jan 4 14:51:40 2025 Msieve v. 1.54 (SVN Unversioned directory) Sat Jan 4 14:51:40 2025 random seeds: bc66be40 4f53fec1 Sat Jan 4 14:51:40 2025 MPI process 0 of 1 Sat Jan 4 14:51:40 2025 Using 32 OpenMP threads Sat Jan 4 14:51:40 2025 factoring 43333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (269 digits) Sat Jan 4 14:51:42 2025 searching for 15-digit factors Sat Jan 4 14:51:43 2025 commencing number field sieve (269-digit input) Sat Jan 4 14:51:43 2025 R0: 500000000000000000000000000000000000000000000 Sat Jan 4 14:51:43 2025 R1: -1 Sat Jan 4 14:51:43 2025 A0: -25 Sat Jan 4 14:51:43 2025 A1: 0 Sat Jan 4 14:51:43 2025 A2: 0 Sat Jan 4 14:51:43 2025 A3: 0 Sat Jan 4 14:51:43 2025 A4: 0 Sat Jan 4 14:51:43 2025 A5: 0 Sat Jan 4 14:51:43 2025 A6: 208 Sat Jan 4 14:51:43 2025 skew 1.00, size 2.054e-13, alpha 0.051, combined = 3.570e-14 rroots = 2 Sat Jan 4 14:51:43 2025 Sat Jan 4 14:51:43 2025 commencing relation filtering Sat Jan 4 14:51:43 2025 setting target matrix density to 116.0 Sat Jan 4 14:51:43 2025 estimated available RAM is 257736.5 MB Sat Jan 4 14:51:43 2025 commencing duplicate removal, pass 1 Sat Jan 4 14:53:54 2025 error -5 reading relation 58905115 Sat Jan 4 14:55:04 2025 error -1 reading relation 85428411 Sat Jan 4 14:55:11 2025 error -1 reading relation 88231050 Sat Jan 4 14:56:37 2025 error -1 reading relation 121964481 Sat Jan 4 14:57:08 2025 error -1 reading relation 134322935 Sat Jan 4 14:57:26 2025 error -1 reading relation 141355156 Sat Jan 4 14:57:29 2025 error -1 reading relation 142253651 Sat Jan 4 14:57:34 2025 error -1 reading relation 144350943 Sat Jan 4 14:57:37 2025 error -1 reading relation 145400578 Sat Jan 4 14:57:37 2025 error -1 reading relation 145444962 Sat Jan 4 14:57:42 2025 error -1 reading relation 147726008 Sat Jan 4 14:58:14 2025 error -1 reading relation 160751680 Sat Jan 4 14:58:14 2025 error -1 reading relation 160751938 Sat Jan 4 14:58:16 2025 error -1 reading relation 161559591 Sat Jan 4 14:58:23 2025 error -1 reading relation 164438869 Sat Jan 4 14:58:35 2025 error -1 reading relation 169164937 Sat Jan 4 14:59:08 2025 error -1 reading relation 182490728 Sat Jan 4 15:00:17 2025 error -1 reading relation 209934195 Sat Jan 4 15:01:29 2025 error -1 reading relation 238381396 Sat Jan 4 15:02:25 2025 error -15 reading relation 260294778 Sat Jan 4 15:02:26 2025 error -1 reading relation 260695304 Sat Jan 4 15:02:32 2025 error -1 reading relation 263079571 Sat Jan 4 15:03:17 2025 error -1 reading relation 278800495 Sat Jan 4 15:03:27 2025 error -1 reading relation 282409389 Sat Jan 4 15:03:39 2025 error -1 reading relation 287502358 Sat Jan 4 15:04:07 2025 error -1 reading relation 300781333 Sat Jan 4 15:04:21 2025 error -1 reading relation 308347347 Sat Jan 4 15:04:40 2025 error -1 reading relation 316670521 Sat Jan 4 15:04:52 2025 error -1 reading relation 321340630 Sat Jan 4 15:04:52 2025 error -1 reading relation 321360343 Sat Jan 4 15:05:28 2025 error -1 reading relation 339425967 Sat Jan 4 15:05:34 2025 error -1 reading relation 342800557 Sat Jan 4 15:05:54 2025 error -1 reading relation 355166280 Sat Jan 4 15:05:57 2025 error -1 reading relation 357379604 Sat Jan 4 15:06:01 2025 error -1 reading relation 359616137 Sat Jan 4 15:06:06 2025 error -1 reading relation 363185369 Sat Jan 4 15:06:12 2025 error -1 reading relation 366773658 Sat Jan 4 15:06:13 2025 error -1 reading relation 367062072 Sat Jan 4 15:06:32 2025 error -1 reading relation 378699927 Sat Jan 4 15:06:33 2025 error -1 reading relation 379737770 Sat Jan 4 15:06:49 2025 error -1 reading relation 389121541 Sat Jan 4 15:07:22 2025 error -5 reading relation 407994690 Sat Jan 4 15:07:22 2025 error -5 reading relation 408072488 Sat Jan 4 15:07:23 2025 error -11 reading relation 408338362 Sat Jan 4 15:07:23 2025 error -5 reading relation 408367128 Sat Jan 4 15:07:25 2025 error -1 reading relation 409487428 Sat Jan 4 15:07:30 2025 error -1 reading relation 411644777 Sat Jan 4 15:07:31 2025 error -1 reading relation 412149157 Sat Jan 4 15:07:54 2025 error -1 reading relation 421768932 Sat Jan 4 15:07:54 2025 error -1 reading relation 421837595 Sat Jan 4 15:08:00 2025 error -5 reading relation 423869810 Sat Jan 4 15:08:08 2025 error -1 reading relation 426827157 Sat Jan 4 15:08:09 2025 error -1 reading relation 427212639 Sat Jan 4 15:08:09 2025 error -1 reading relation 427221118 Sat Jan 4 15:08:25 2025 error -1 reading relation 433957953 Sat Jan 4 15:08:35 2025 error -1 reading relation 438728897 Sat Jan 4 15:08:37 2025 error -1 reading relation 439532973 Sat Jan 4 15:08:38 2025 error -1 reading relation 440109316 Sat Jan 4 15:08:53 2025 skipped 2088 relations with b > 2^32 Sat Jan 4 15:08:53 2025 skipped 2 relations with composite factors Sat Jan 4 15:08:53 2025 skipped 660 malformed relations Sat Jan 4 15:08:53 2025 found 105284134 hash collisions in 447581735 relations Sat Jan 4 15:09:06 2025 commencing duplicate removal, pass 2 Sat Jan 4 15:22:30 2025 found 117661259 duplicates and 329920476 unique relations Sat Jan 4 15:22:30 2025 memory use: 2899.0 MB Sat Jan 4 15:22:30 2025 reading ideals above 720000 Sat Jan 4 15:22:30 2025 commencing singleton removal, initial pass Sat Jan 4 16:02:30 2025 memory use: 11024.0 MB Sat Jan 4 16:02:31 2025 reading all ideals from disk Sat Jan 4 16:02:37 2025 memory use: 16411.0 MB Sat Jan 4 16:03:47 2025 keeping 329945507 ideals with weight <= 200, target excess is 1708463 Sat Jan 4 16:05:32 2025 commencing in-memory singleton removal Sat Jan 4 16:05:39 2025 begin with 329920476 relations and 329945507 unique ideals Sat Jan 4 16:06:22 2025 reduce to 182349421 relations and 164159213 ideals in 20 passes Sat Jan 4 16:06:22 2025 max relations containing the same ideal: 144 Sat Jan 4 16:08:54 2025 removing 16188742 relations and 14188742 ideals in 2000000 cliques Sat Jan 4 16:09:04 2025 commencing in-memory singleton removal Sat Jan 4 16:09:08 2025 begin with 166160679 relations and 164159213 unique ideals Sat Jan 4 16:09:24 2025 reduce to 164907227 relations and 148697296 ideals in 10 passes Sat Jan 4 16:09:24 2025 max relations containing the same ideal: 139 Sat Jan 4 16:11:34 2025 removing 12138105 relations and 10138105 ideals in 2000000 cliques Sat Jan 4 16:11:42 2025 commencing in-memory singleton removal Sat Jan 4 16:11:46 2025 begin with 152769122 relations and 148697296 unique ideals Sat Jan 4 16:11:57 2025 reduce to 151979989 relations and 137759665 ideals in 10 passes Sat Jan 4 16:11:57 2025 max relations containing the same ideal: 132 Sat Jan 4 16:14:02 2025 removing 10893065 relations and 8893065 ideals in 2000000 cliques Sat Jan 4 16:14:10 2025 commencing in-memory singleton removal Sat Jan 4 16:14:13 2025 begin with 141086924 relations and 137759665 unique ideals Sat Jan 4 16:14:24 2025 reduce to 140392760 relations and 128163157 ideals in 8 passes Sat Jan 4 16:14:24 2025 max relations containing the same ideal: 126 Sat Jan 4 16:16:10 2025 removing 10270291 relations and 8270291 ideals in 2000000 cliques Sat Jan 4 16:16:17 2025 commencing in-memory singleton removal Sat Jan 4 16:16:20 2025 begin with 130122469 relations and 128163157 unique ideals Sat Jan 4 16:16:30 2025 reduce to 129458176 relations and 119219562 ideals in 8 passes Sat Jan 4 16:16:30 2025 max relations containing the same ideal: 114 Sat Jan 4 16:18:05 2025 removing 9888744 relations and 7888744 ideals in 2000000 cliques Sat Jan 4 16:18:12 2025 commencing in-memory singleton removal Sat Jan 4 16:18:16 2025 begin with 119569432 relations and 119219562 unique ideals Sat Jan 4 16:18:26 2025 reduce to 118903174 relations and 110655091 ideals in 9 passes Sat Jan 4 16:18:26 2025 max relations containing the same ideal: 110 Sat Jan 4 16:19:56 2025 removing 9654973 relations and 7654973 ideals in 2000000 cliques Sat Jan 4 16:20:02 2025 commencing in-memory singleton removal Sat Jan 4 16:20:04 2025 begin with 109248201 relations and 110655091 unique ideals Sat Jan 4 16:20:13 2025 reduce to 108556959 relations and 102298373 ideals in 9 passes Sat Jan 4 16:20:13 2025 max relations containing the same ideal: 102 Sat Jan 4 16:21:14 2025 removing 9524484 relations and 7524484 ideals in 2000000 cliques Sat Jan 4 16:21:18 2025 commencing in-memory singleton removal Sat Jan 4 16:21:20 2025 begin with 99032475 relations and 102298373 unique ideals Sat Jan 4 16:21:26 2025 reduce to 98303943 relations and 94033419 ideals in 8 passes Sat Jan 4 16:21:26 2025 max relations containing the same ideal: 93 Sat Jan 4 16:22:17 2025 removing 9455248 relations and 7455248 ideals in 2000000 cliques Sat Jan 4 16:22:23 2025 commencing in-memory singleton removal Sat Jan 4 16:22:25 2025 begin with 88848695 relations and 94033419 unique ideals Sat Jan 4 16:22:33 2025 reduce to 88052241 relations and 85767082 ideals in 9 passes Sat Jan 4 16:22:33 2025 max relations containing the same ideal: 87 Sat Jan 4 16:23:52 2025 removing 2079883 relations and 1776542 ideals in 303341 cliques Sat Jan 4 16:23:56 2025 commencing in-memory singleton removal Sat Jan 4 16:23:57 2025 begin with 85972358 relations and 85767082 unique ideals Sat Jan 4 16:24:03 2025 reduce to 85935996 relations and 83954047 ideals in 7 passes Sat Jan 4 16:24:03 2025 max relations containing the same ideal: 86 Sat Jan 4 16:25:24 2025 relations with 0 large ideals: 64633 Sat Jan 4 16:25:24 2025 relations with 1 large ideals: 34512 Sat Jan 4 16:25:24 2025 relations with 2 large ideals: 428453 Sat Jan 4 16:25:24 2025 relations with 3 large ideals: 2638132 Sat Jan 4 16:25:24 2025 relations with 4 large ideals: 8907863 Sat Jan 4 16:25:24 2025 relations with 5 large ideals: 18092204 Sat Jan 4 16:25:24 2025 relations with 6 large ideals: 23026076 Sat Jan 4 16:25:24 2025 relations with 7+ large ideals: 32744123 Sat Jan 4 16:25:24 2025 commencing 2-way merge Sat Jan 4 16:26:56 2025 reduce to 52891259 relation sets and 50909310 unique ideals Sat Jan 4 16:26:56 2025 commencing full merge Sat Jan 4 17:01:55 2025 memory use: 6455.0 MB Sat Jan 4 17:02:05 2025 found 23731181 cycles, need 23631510 Sat Jan 4 17:02:16 2025 weight of 23631510 cycles is about 2741328815 (116.00/cycle) Sat Jan 4 17:02:16 2025 distribution of cycle lengths: Sat Jan 4 17:02:16 2025 1 relations: 1987211 Sat Jan 4 17:02:16 2025 2 relations: 1899433 Sat Jan 4 17:02:16 2025 3 relations: 1876501 Sat Jan 4 17:02:16 2025 4 relations: 1771473 Sat Jan 4 17:02:16 2025 5 relations: 1690920 Sat Jan 4 17:02:16 2025 6 relations: 1606286 Sat Jan 4 17:02:16 2025 7 relations: 1495626 Sat Jan 4 17:02:16 2025 8 relations: 1408709 Sat Jan 4 17:02:16 2025 9 relations: 1301760 Sat Jan 4 17:02:16 2025 10+ relations: 8593591 Sat Jan 4 17:02:16 2025 heaviest cycle: 28 relations Sat Jan 4 17:02:29 2025 commencing cycle optimization Sat Jan 4 17:04:09 2025 start with 196074057 relations Sat Jan 4 17:15:50 2025 pruned 7100324 relations Sat Jan 4 17:15:50 2025 memory use: 5517.4 MB Sat Jan 4 17:15:50 2025 distribution of cycle lengths: Sat Jan 4 17:15:50 2025 1 relations: 1987211 Sat Jan 4 17:15:50 2025 2 relations: 1941930 Sat Jan 4 17:15:50 2025 3 relations: 1946578 Sat Jan 4 17:15:50 2025 4 relations: 1830628 Sat Jan 4 17:15:50 2025 5 relations: 1755934 Sat Jan 4 17:15:50 2025 6 relations: 1660151 Sat Jan 4 17:15:50 2025 7 relations: 1549915 Sat Jan 4 17:15:50 2025 8 relations: 1448134 Sat Jan 4 17:15:50 2025 9 relations: 1338036 Sat Jan 4 17:15:50 2025 10+ relations: 8172993 Sat Jan 4 17:15:50 2025 heaviest cycle: 28 relations Sat Jan 4 17:16:33 2025 RelProcTime: 8690 Sat Jan 4 17:16:33 2025 Sat Jan 4 17:16:33 2025 commencing linear algebra Sat Jan 4 17:16:33 2025 using VBITS=256 Sat Jan 4 17:16:33 2025 stopping after matrix build Sat Jan 4 17:16:33 2025 initialized process (0,0) of 1 x 1 grid Sat Jan 4 17:16:35 2025 read 23631510 cycles Sat Jan 4 17:17:18 2025 cycles contain 84596518 unique relations Sat Jan 4 17:25:49 2025 read 84596518 relations Sat Jan 4 17:25:59 2025 using 20 quadratic characters above 4294917295 Sat Jan 4 17:26:10 2025 building initial matrix Sat Jan 4 17:58:10 2025 memory use: 10822.7 MB Sat Jan 4 17:58:39 2025 read 23631510 cycles Sat Jan 4 17:58:45 2025 matrix is 23631330 x 23631510 (10839.0 MB) with weight 3103235995 (131.32/col) Sat Jan 4 17:58:45 2025 sparse part has weight 2581443378 (109.24/col) Sat Jan 4 18:08:34 2025 filtering completed in 2 passes Sat Jan 4 18:08:44 2025 matrix is 23629116 x 23629291 (10838.9 MB) with weight 3103160045 (131.33/col) Sat Jan 4 18:08:44 2025 sparse part has weight 2581418240 (109.25/col) Sat Jan 4 18:11:41 2025 BLanczosTime: 3308 Sat Jan 4 18:11:41 2025 elapsed time 03:20:01 Mon Jan 6 11:13:11 2025 Mon Jan 6 11:13:11 2025 Mon Jan 6 11:13:11 2025 Msieve v. 1.54 (SVN Unversioned directory) Mon Jan 6 11:13:11 2025 random seeds: ee453d13 80a8a9bc Mon Jan 6 11:13:11 2025 factoring 43333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (269 digits) Mon Jan 6 11:13:13 2025 searching for 15-digit factors Mon Jan 6 11:13:13 2025 commencing number field sieve (269-digit input) Mon Jan 6 11:13:13 2025 R0: 500000000000000000000000000000000000000000000 Mon Jan 6 11:13:13 2025 R1: -1 Mon Jan 6 11:13:13 2025 A0: -25 Mon Jan 6 11:13:13 2025 A1: 0 Mon Jan 6 11:13:13 2025 A2: 0 Mon Jan 6 11:13:13 2025 A3: 0 Mon Jan 6 11:13:13 2025 A4: 0 Mon Jan 6 11:13:13 2025 A5: 0 Mon Jan 6 11:13:13 2025 A6: 208 Mon Jan 6 11:13:13 2025 skew 1.00, size 2.054e-13, alpha 0.051, combined = 3.570e-14 rroots = 2 Mon Jan 6 11:13:13 2025 Mon Jan 6 11:13:13 2025 commencing linear algebra Mon Jan 6 11:13:13 2025 skipping matrix build Mon Jan 6 11:13:18 2025 matrix starts at (0, 0) Mon Jan 6 11:13:21 2025 matrix is 23629116 x 23629291 (10838.9 MB) with weight 3103160045 (131.33/col) Mon Jan 6 11:13:21 2025 sparse part has weight 2581418240 (109.25/col) Mon Jan 6 11:13:21 2025 saving the first 240 matrix rows for later Mon Jan 6 11:13:26 2025 matrix includes 256 packed rows Mon Jan 6 11:13:32 2025 matrix is 23628876 x 23629291 (10015.5 MB) with weight 2358681936 (99.82/col) Mon Jan 6 11:13:32 2025 sparse part has weight 2247443339 (95.11/col) Mon Jan 6 11:13:32 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Mon Jan 6 11:14:26 2025 commencing Lanczos iteration (32 threads) Mon Jan 6 11:14:27 2025 memory use: 13950.4 MB Mon Jan 6 11:14:41 2025 linear algebra at 0.0%, ETA 47h16m Mon Jan 6 11:14:44 2025 checkpointing every 530000 dimensions Wed Jan 8 03:20:58 2025 Wed Jan 8 03:20:58 2025 Wed Jan 8 03:20:58 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Jan 8 03:20:58 2025 random seeds: f9b5db04 6fd34519 Wed Jan 8 03:20:58 2025 Using 96 OpenMP threads Wed Jan 8 03:20:58 2025 factoring 43333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (269 digits) Wed Jan 8 03:20:59 2025 searching for 15-digit factors Wed Jan 8 03:21:00 2025 commencing number field sieve (269-digit input) Wed Jan 8 03:21:00 2025 R0: 500000000000000000000000000000000000000000000 Wed Jan 8 03:21:00 2025 R1: -1 Wed Jan 8 03:21:00 2025 A0: -25 Wed Jan 8 03:21:00 2025 A1: 0 Wed Jan 8 03:21:00 2025 A2: 0 Wed Jan 8 03:21:00 2025 A3: 0 Wed Jan 8 03:21:00 2025 A4: 0 Wed Jan 8 03:21:00 2025 A5: 0 Wed Jan 8 03:21:00 2025 A6: 208 Wed Jan 8 03:21:00 2025 skew 1.00, size 2.054e-13, alpha 0.051, combined = 3.570e-14 rroots = 2 Wed Jan 8 03:21:00 2025 Wed Jan 8 03:21:00 2025 commencing linear algebra Wed Jan 8 03:21:00 2025 using VBITS=256 Wed Jan 8 03:21:00 2025 skipping matrix build Wed Jan 8 03:21:56 2025 matrix starts at (0, 0) Wed Jan 8 03:21:59 2025 matrix is 23629116 x 23629291 (10838.9 MB) with weight 3103160045 (131.33/col) Wed Jan 8 03:21:59 2025 sparse part has weight 2581418240 (109.25/col) Wed Jan 8 03:21:59 2025 saving the first 240 matrix rows for later Wed Jan 8 03:22:04 2025 matrix includes 256 packed rows Wed Jan 8 03:22:10 2025 matrix is 23628876 x 23629291 (10015.5 MB) with weight 2358681936 (99.82/col) Wed Jan 8 03:22:10 2025 sparse part has weight 2247443339 (95.11/col) Wed Jan 8 03:22:10 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Wed Jan 8 03:22:59 2025 commencing Lanczos iteration (96 threads) Wed Jan 8 03:22:59 2025 memory use: 13956.2 MB Wed Jan 8 03:23:18 2025 restarting at iteration 29072 (dim = 7420227) Wed Jan 8 03:26:23 2025 checking every 10000 dimensions, checkpointing every 580000 dimensions Wed Jan 8 03:26:29 2025 linear algebra at 31.5%, ETA 28h 1m Thu Jan 9 04:59:31 2025 lanczos halted after 92579 iterations (dim = 23628874) Thu Jan 9 05:01:20 2025 recovered 37 nontrivial dependencies Thu Jan 9 05:01:23 2025 BLanczosTime: 92423 Thu Jan 9 05:01:23 2025 Thu Jan 9 05:01:23 2025 commencing square root phase Thu Jan 9 05:01:23 2025 handling dependencies 1 to 64 Thu Jan 9 05:01:23 2025 reading relations for dependency 1 Thu Jan 9 05:01:27 2025 read 11813116 cycles Thu Jan 9 05:01:47 2025 cycles contain 42294100 unique relations Thu Jan 9 05:07:57 2025 read 42294100 relations Thu Jan 9 05:10:15 2025 multiplying 42294100 relations Thu Jan 9 05:27:23 2025 multiply complete, coefficients have about 1422.36 million bits Thu Jan 9 05:27:26 2025 initial square root is modulo 2400613 Thu Jan 9 05:36:37 2025 GCD is N, no factor found Thu Jan 9 05:36:37 2025 reading relations for dependency 2 Thu Jan 9 05:36:39 2025 read 11817347 cycles Thu Jan 9 05:36:59 2025 cycles contain 42313946 unique relations Thu Jan 9 05:43:04 2025 read 42313946 relations Thu Jan 9 05:45:24 2025 multiplying 42313946 relations Thu Jan 9 06:02:31 2025 multiply complete, coefficients have about 1423.03 million bits Thu Jan 9 06:02:33 2025 initial square root is modulo 2417521 Thu Jan 9 06:11:42 2025 sqrtTime: 4219 Thu Jan 9 06:11:42 2025 p109 factor: 5712570428095909819348702197897421801521062276789349378870609410072672274699609595340388515687927722043165761 Thu Jan 9 06:11:42 2025 p160 factor: 7585610344549751048695153185465463068005149489163872056014033303518960608233031498146331657293653446813300122401824305159788550231134276468728122842390765868053 Thu Jan 9 06:11:42 2025 elapsed time 26:50:44