Wed Apr 24 09:54:44 2024 Wed Apr 24 09:54:44 2024 Wed Apr 24 09:54:44 2024 Msieve v. 1.54 (SVN Unversioned directory) Wed Apr 24 09:54:44 2024 random seeds: 437a9806 5eddb449 Wed Apr 24 09:54:44 2024 MPI process 0 of 1 Wed Apr 24 09:54:44 2024 Using 23 OpenMP threads Wed Apr 24 09:54:44 2024 factoring 5218894826623037693724009267118743147512284017209513635841458690950247413364150517321381397552683624786104824694278487368775456495244631026414599825613894987951375721351726000373735526869835384459851 (199 digits) Wed Apr 24 09:54:45 2024 no P-1/P+1/ECM available, skipping Wed Apr 24 09:54:45 2024 commencing number field sieve (199-digit input) Wed Apr 24 09:54:45 2024 R0: 161558713389263217751231331359277190645703143736820153823633608 Wed Apr 24 09:54:45 2024 R1: -5597774487475881147025802420102991163730621337890625 Wed Apr 24 09:54:45 2024 A0: -225 Wed Apr 24 09:54:45 2024 A1: 0 Wed Apr 24 09:54:45 2024 A2: 60 Wed Apr 24 09:54:45 2024 A3: -15 Wed Apr 24 09:54:45 2024 A4: 1 Wed Apr 24 09:54:45 2024 skew 3.87, size 2.281e-25, alpha 1.626, combined = 4.006e-15 rroots = 4 Wed Apr 24 09:54:45 2024 Wed Apr 24 09:54:45 2024 commencing relation filtering Wed Apr 24 09:54:45 2024 setting target matrix density to 90.0 Wed Apr 24 09:54:45 2024 estimated available RAM is 192069.1 MB Wed Apr 24 09:54:45 2024 commencing duplicate removal, pass 1 Wed Apr 24 10:06:28 2024 skipped 27068 relations with b > 2^32 Wed Apr 24 10:06:28 2024 skipped 335 malformed relations Wed Apr 24 10:06:28 2024 found 31277198 hash collisions in 754457935 relations Wed Apr 24 10:06:36 2024 added 3657495 free relations Wed Apr 24 10:06:37 2024 commencing duplicate removal, pass 2 Wed Apr 24 10:09:55 2024 found 0 duplicates and 758115430 unique relations Wed Apr 24 10:09:55 2024 memory use: 2217.5 MB Wed Apr 24 10:09:55 2024 reading ideals above 720000 Wed Apr 24 10:09:55 2024 commencing singleton removal, initial pass Wed Apr 24 11:02:51 2024 memory use: 21024.0 MB Wed Apr 24 11:02:52 2024 reading all ideals from disk Wed Apr 24 11:03:25 2024 memory use: 38875.6 MB Wed Apr 24 11:05:13 2024 keeping 824745946 ideals with weight <= 200, target excess is 4526133 Wed Apr 24 11:07:19 2024 commencing in-memory singleton removal Wed Apr 24 11:07:32 2024 begin with 758115430 relations and 824745946 unique ideals Wed Apr 24 11:08:35 2024 reduce to 282777864 relations and 271329269 ideals in 26 passes Wed Apr 24 11:08:35 2024 max relations containing the same ideal: 109 Wed Apr 24 11:10:28 2024 removing 17103927 relations and 16103927 ideals in 1000000 cliques Wed Apr 24 11:10:40 2024 commencing in-memory singleton removal Wed Apr 24 11:10:45 2024 begin with 265673937 relations and 271329269 unique ideals Wed Apr 24 11:11:09 2024 reduce to 264536034 relations and 254079963 ideals in 14 passes Wed Apr 24 11:11:09 2024 max relations containing the same ideal: 103 Wed Apr 24 11:13:00 2024 removing 12354218 relations and 11354218 ideals in 1000000 cliques Wed Apr 24 11:13:11 2024 commencing in-memory singleton removal Wed Apr 24 11:13:16 2024 begin with 252181816 relations and 254079963 unique ideals Wed Apr 24 11:13:36 2024 reduce to 251546153 relations and 242086808 ideals in 12 passes Wed Apr 24 11:13:36 2024 max relations containing the same ideal: 100 Wed Apr 24 11:15:18 2024 removing 10845394 relations and 9845394 ideals in 1000000 cliques Wed Apr 24 11:15:29 2024 commencing in-memory singleton removal Wed Apr 24 11:15:33 2024 begin with 240700759 relations and 242086808 unique ideals Wed Apr 24 11:15:53 2024 reduce to 240184301 relations and 231722426 ideals in 12 passes Wed Apr 24 11:15:53 2024 max relations containing the same ideal: 99 Wed Apr 24 11:17:30 2024 removing 10023745 relations and 9023745 ideals in 1000000 cliques Wed Apr 24 11:17:40 2024 commencing in-memory singleton removal Wed Apr 24 11:17:45 2024 begin with 230160556 relations and 231722426 unique ideals Wed Apr 24 11:18:04 2024 reduce to 229699952 relations and 222235769 ideals in 13 passes Wed Apr 24 11:18:04 2024 max relations containing the same ideal: 96 Wed Apr 24 11:19:36 2024 removing 9500751 relations and 8500751 ideals in 1000000 cliques Wed Apr 24 11:19:46 2024 commencing in-memory singleton removal Wed Apr 24 11:19:50 2024 begin with 220199201 relations and 222235769 unique ideals Wed Apr 24 11:20:06 2024 reduce to 219764064 relations and 213297720 ideals in 11 passes Wed Apr 24 11:20:06 2024 max relations containing the same ideal: 91 Wed Apr 24 11:21:34 2024 removing 9139310 relations and 8139310 ideals in 1000000 cliques Wed Apr 24 11:21:43 2024 commencing in-memory singleton removal Wed Apr 24 11:21:47 2024 begin with 210624754 relations and 213297720 unique ideals Wed Apr 24 11:22:04 2024 reduce to 210205444 relations and 204737023 ideals in 12 passes Wed Apr 24 11:22:04 2024 max relations containing the same ideal: 89 Wed Apr 24 11:23:34 2024 removing 2549562 relations and 2331456 ideals in 218106 cliques Wed Apr 24 11:23:42 2024 commencing in-memory singleton removal Wed Apr 24 11:23:46 2024 begin with 207655882 relations and 204737023 unique ideals Wed Apr 24 11:24:01 2024 reduce to 207624345 relations and 202373993 ideals in 12 passes Wed Apr 24 11:24:01 2024 max relations containing the same ideal: 89 Wed Apr 24 11:24:33 2024 relations with 0 large ideals: 301015 Wed Apr 24 11:24:33 2024 relations with 1 large ideals: 240492 Wed Apr 24 11:24:33 2024 relations with 2 large ideals: 2003622 Wed Apr 24 11:24:33 2024 relations with 3 large ideals: 9673942 Wed Apr 24 11:24:33 2024 relations with 4 large ideals: 28916584 Wed Apr 24 11:24:33 2024 relations with 5 large ideals: 54528941 Wed Apr 24 11:24:33 2024 relations with 6 large ideals: 57132617 Wed Apr 24 11:24:33 2024 relations with 7+ large ideals: 54827132 Wed Apr 24 11:24:33 2024 commencing 2-way merge Wed Apr 24 11:26:54 2024 reduce to 116167618 relation sets and 110917270 unique ideals Wed Apr 24 11:26:54 2024 ignored 4 oversize relation sets Wed Apr 24 11:26:54 2024 commencing full merge Wed Apr 24 12:04:50 2024 memory use: 11035.3 MB Wed Apr 24 12:05:02 2024 found 55355307 cycles, need 54855470 Wed Apr 24 12:05:26 2024 weight of 54855470 cycles is about 4937031301 (90.00/cycle) Wed Apr 24 12:05:26 2024 distribution of cycle lengths: Wed Apr 24 12:05:26 2024 1 relations: 6232593 Wed Apr 24 12:05:26 2024 2 relations: 6001207 Wed Apr 24 12:05:26 2024 3 relations: 5779821 Wed Apr 24 12:05:26 2024 4 relations: 5214144 Wed Apr 24 12:05:26 2024 5 relations: 4586652 Wed Apr 24 12:05:26 2024 6 relations: 3961804 Wed Apr 24 12:05:26 2024 7 relations: 3507369 Wed Apr 24 12:05:26 2024 8 relations: 3032278 Wed Apr 24 12:05:26 2024 9 relations: 2594650 Wed Apr 24 12:05:26 2024 10+ relations: 13944952 Wed Apr 24 12:05:26 2024 heaviest cycle: 28 relations Wed Apr 24 12:05:50 2024 commencing cycle optimization Wed Apr 24 12:07:48 2024 start with 374111139 relations Wed Apr 24 12:19:22 2024 pruned 7229395 relations Wed Apr 24 12:19:22 2024 memory use: 12156.9 MB Wed Apr 24 12:19:23 2024 distribution of cycle lengths: Wed Apr 24 12:19:23 2024 1 relations: 6232593 Wed Apr 24 12:19:23 2024 2 relations: 6105271 Wed Apr 24 12:19:23 2024 3 relations: 5953575 Wed Apr 24 12:19:23 2024 4 relations: 5315334 Wed Apr 24 12:19:23 2024 5 relations: 4668567 Wed Apr 24 12:19:23 2024 6 relations: 4001098 Wed Apr 24 12:19:23 2024 7 relations: 3527383 Wed Apr 24 12:19:23 2024 8 relations: 3024366 Wed Apr 24 12:19:23 2024 9 relations: 2579024 Wed Apr 24 12:19:23 2024 10+ relations: 13448259 Wed Apr 24 12:19:23 2024 heaviest cycle: 28 relations Wed Apr 24 12:22:10 2024 RelProcTime: 8845 Wed Apr 24 12:22:10 2024 elapsed time 02:27:26 Wed Apr 24 12:22:11 2024 Wed Apr 24 12:22:11 2024 Wed Apr 24 12:22:11 2024 Msieve v. 1.54 (SVN Unversioned directory) Wed Apr 24 12:22:11 2024 random seeds: babd4f40 9dca4a14 Wed Apr 24 12:22:11 2024 MPI process 0 of 1 Wed Apr 24 12:22:11 2024 Using 23 OpenMP threads Wed Apr 24 12:22:11 2024 factoring 5218894826623037693724009267118743147512284017209513635841458690950247413364150517321381397552683624786104824694278487368775456495244631026414599825613894987951375721351726000373735526869835384459851 (199 digits) Wed Apr 24 12:22:12 2024 no P-1/P+1/ECM available, skipping Wed Apr 24 12:22:12 2024 commencing number field sieve (199-digit input) Wed Apr 24 12:22:12 2024 R0: 161558713389263217751231331359277190645703143736820153823633608 Wed Apr 24 12:22:12 2024 R1: -5597774487475881147025802420102991163730621337890625 Wed Apr 24 12:22:12 2024 A0: -225 Wed Apr 24 12:22:12 2024 A1: 0 Wed Apr 24 12:22:12 2024 A2: 60 Wed Apr 24 12:22:12 2024 A3: -15 Wed Apr 24 12:22:12 2024 A4: 1 Wed Apr 24 12:22:12 2024 skew 3.87, size 2.281e-25, alpha 1.626, combined = 4.006e-15 rroots = 4 Wed Apr 24 12:22:12 2024 Wed Apr 24 12:22:12 2024 commencing linear algebra Wed Apr 24 12:22:12 2024 using VBITS=128 Wed Apr 24 12:22:12 2024 stopping after matrix build Wed Apr 24 12:22:12 2024 initialized process (0,0) of 1 x 1 grid Wed Apr 24 12:22:20 2024 read 54855470 cycles Wed Apr 24 12:24:05 2024 cycles contain 201620659 unique relations Wed Apr 24 12:26:45 2024 read 201620659 relations Wed Apr 24 12:27:17 2024 using 20 quadratic characters above 4294917295 Wed Apr 24 12:28:08 2024 building initial matrix Wed Apr 24 13:04:36 2024 memory use: 24548.2 MB Wed Apr 24 13:05:33 2024 read 54855470 cycles Wed Apr 24 13:05:42 2024 matrix is 54855211 x 54855470 (20620.1 MB) with weight 5843133346 (106.52/col) Wed Apr 24 13:05:42 2024 sparse part has weight 4802029055 (87.54/col) Wed Apr 24 13:29:33 2024 filtering completed in 3 passes Wed Apr 24 13:29:44 2024 matrix is 54697570 x 54697770 (20606.6 MB) with weight 5838269043 (106.74/col) Wed Apr 24 13:29:44 2024 sparse part has weight 4800212249 (87.76/col) Wed Apr 24 13:32:41 2024 BLanczosTime: 4229 Wed Apr 24 13:32:41 2024 elapsed time 01:10:30 Thu Apr 25 13:55:32 2024 Thu Apr 25 13:55:32 2024 Thu Apr 25 13:55:32 2024 Msieve v. 1.54 (SVN unknown) Thu Apr 25 13:55:32 2024 random seeds: 3d08be80 433a1cf8 Thu Apr 25 13:55:32 2024 MPI process 0 of 4 Thu Apr 25 13:55:32 2024 Using 16 OpenMP threads Thu Apr 25 13:55:32 2024 factoring 5218894826623037693724009267118743147512284017209513635841458690950247413364150517321381397552683624786104824694278487368775456495244631026414599825613894987951375721351726000373735526869835384459851 (199 digits) Thu Apr 25 13:55:32 2024 no P-1/P+1/ECM available, skipping Thu Apr 25 13:55:32 2024 commencing number field sieve (199-digit input) Thu Apr 25 13:55:32 2024 R0: 161558713389263217751231331359277190645703143736820153823633608 Thu Apr 25 13:55:32 2024 R1: -5597774487475881147025802420102991163730621337890625 Thu Apr 25 13:55:32 2024 A0: -225 Thu Apr 25 13:55:32 2024 A1: 0 Thu Apr 25 13:55:32 2024 A2: 60 Thu Apr 25 13:55:32 2024 A3: -15 Thu Apr 25 13:55:32 2024 A4: 1 Thu Apr 25 13:55:32 2024 skew 3.87, size 2.281e-25, alpha 1.626, combined = 4.006e-15 rroots = 4 Thu Apr 25 13:55:32 2024 Thu Apr 25 13:55:32 2024 commencing linear algebra Thu Apr 25 13:55:32 2024 using VBITS=256 Thu Apr 25 13:55:32 2024 skipping matrix build Thu Apr 25 13:55:32 2024 initialized process (0,0) of 2 x 2 grid Thu Apr 25 13:55:52 2024 matrix starts at (0, 0) Thu Apr 25 13:55:54 2024 matrix is 27348905 x 27348846 (6087.0 MB) with weight 1813865620 (66.32/col) Thu Apr 25 13:55:54 2024 sparse part has weight 1294833565 (47.35/col) Thu Apr 25 13:55:54 2024 saving the first 240 matrix rows for later Thu Apr 25 13:55:59 2024 matrix includes 256 packed rows Thu Apr 25 13:56:05 2024 matrix is 27348665 x 27348846 (5587.7 MB) with weight 1105536539 (40.42/col) Thu Apr 25 13:56:05 2024 sparse part has weight 1027205777 (37.56/col) Thu Apr 25 13:56:05 2024 using GPU 0 (NVIDIA A100-SXM4-40GB) Thu Apr 25 13:56:05 2024 selected card has CUDA arch 8.0 Thu Apr 25 13:57:05 2024 commencing Lanczos iteration Thu Apr 25 13:57:06 2024 memory use: 13053.3 MB Thu Apr 25 13:57:40 2024 linear algebra at 0.1%, ETA 13h23m Thu Apr 25 13:58:21 2024 checking every 60000 dimensions, checkpointing every 4080000 dimensions Fri Apr 26 03:20:38 2024 lanczos halted after 214305 iterations (dim = 54697330) Fri Apr 26 03:24:17 2024 recovered 39 nontrivial dependencies Fri Apr 26 03:24:17 2024 BLanczosTime: 48525 Fri Apr 26 03:24:17 2024 elapsed time 13:28:45 Fri Apr 26 09:14:18 2024 Fri Apr 26 09:14:18 2024 Fri Apr 26 09:14:18 2024 Msieve v. 1.54 (SVN Unversioned directory) Fri Apr 26 09:14:18 2024 random seeds: c72fdf43 46b28a4a Fri Apr 26 09:14:18 2024 MPI process 0 of 1 Fri Apr 26 09:14:18 2024 Using 23 OpenMP threads Fri Apr 26 09:14:18 2024 factoring 5218894826623037693724009267118743147512284017209513635841458690950247413364150517321381397552683624786104824694278487368775456495244631026414599825613894987951375721351726000373735526869835384459851 (199 digits) Fri Apr 26 09:14:19 2024 no P-1/P+1/ECM available, skipping Fri Apr 26 09:14:19 2024 commencing number field sieve (199-digit input) Fri Apr 26 09:14:19 2024 R0: 161558713389263217751231331359277190645703143736820153823633608 Fri Apr 26 09:14:19 2024 R1: -5597774487475881147025802420102991163730621337890625 Fri Apr 26 09:14:19 2024 A0: -225 Fri Apr 26 09:14:19 2024 A1: 0 Fri Apr 26 09:14:19 2024 A2: 60 Fri Apr 26 09:14:19 2024 A3: -15 Fri Apr 26 09:14:19 2024 A4: 1 Fri Apr 26 09:14:19 2024 skew 3.87, size 2.281e-25, alpha 1.626, combined = 4.006e-15 rroots = 4 Fri Apr 26 09:14:19 2024 Fri Apr 26 09:14:19 2024 commencing square root phase Fri Apr 26 09:14:19 2024 reading relations for dependency 1 Fri Apr 26 09:14:26 2024 read 27344981 cycles Fri Apr 26 09:15:15 2024 cycles contain 100774552 unique relations Fri Apr 26 09:17:04 2024 read 100774552 relations Fri Apr 26 09:25:16 2024 multiplying 100774552 relations Fri Apr 26 09:30:21 2024 multiply complete, coefficients have about 2894.94 million bits Fri Apr 26 09:30:31 2024 initial square root is modulo 3111313 Fri Apr 26 09:47:46 2024 GCD is 1, no factor found Fri Apr 26 09:47:46 2024 reading relations for dependency 2 Fri Apr 26 09:47:53 2024 read 27348544 cycles Fri Apr 26 09:48:49 2024 cycles contain 100800164 unique relations Fri Apr 26 09:50:37 2024 read 100800164 relations Fri Apr 26 10:00:21 2024 multiplying 100800164 relations Fri Apr 26 10:05:26 2024 multiply complete, coefficients have about 2895.71 million bits Fri Apr 26 10:05:34 2024 initial square root is modulo 3123643 Fri Apr 26 10:22:59 2024 GCD is N, no factor found Fri Apr 26 10:22:59 2024 reading relations for dependency 3 Fri Apr 26 10:23:06 2024 read 27344581 cycles Fri Apr 26 10:24:10 2024 cycles contain 100775084 unique relations Fri Apr 26 10:26:01 2024 read 100775084 relations Fri Apr 26 10:35:08 2024 multiplying 100775084 relations Fri Apr 26 10:40:14 2024 multiply complete, coefficients have about 2894.97 million bits Fri Apr 26 10:40:23 2024 initial square root is modulo 3111727 Fri Apr 26 10:57:36 2024 GCD is 1, no factor found Fri Apr 26 10:57:36 2024 reading relations for dependency 4 Fri Apr 26 10:57:43 2024 read 27347553 cycles Fri Apr 26 10:58:38 2024 cycles contain 100785740 unique relations Fri Apr 26 11:00:28 2024 read 100785740 relations Fri Apr 26 11:10:13 2024 multiplying 100785740 relations Fri Apr 26 11:15:17 2024 multiply complete, coefficients have about 2895.30 million bits Fri Apr 26 11:15:26 2024 initial square root is modulo 3117013 Fri Apr 26 11:32:55 2024 sqrtTime: 8316 Fri Apr 26 11:32:56 2024 p99 factor: 759685278991017671476497209302859043437636581766516117022972407428624998572260015233020393258773171 Fri Apr 26 11:32:56 2024 p100 factor: 6869811711442607273966662872945843294689898104065461772723270962191042289004531232723214962297923081 Fri Apr 26 11:32:56 2024 elapsed time 02:18:38