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__Sign Up__- Thu Sep 21 15:06:48 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
- Thu Sep 21 15:06:48 2023 random seeds: 0dac6aaf d74fdc40
- Thu Sep 21 15:06:48 2023 Using 16 OpenMP threads
- Thu Sep 21 15:06:48 2023 factoring 3108381563589239783109786882298786636294082513487838872145331662003180966115456926159051549454425897670408166616933752489671915335579333573745984556051090230556123986443049355913306357229626822728893917325027514739575732689386854985036789121 (241 digits)
- Thu Sep 21 15:06:48 2023 no P-1/P+1/ECM available, skipping
- Thu Sep 21 15:06:48 2023 commencing number field sieve (241-digit input)
- Thu Sep 21 15:06:48 2023 R0: 2710505431213761085018632002174854278564453125
- Thu Sep 21 15:06:48 2023 R1: -1361129467683753853853498429727072845824
- Thu Sep 21 15:06:48 2023 A0: 25
- Thu Sep 21 15:06:48 2023 A1: 0
- Thu Sep 21 15:06:48 2023 A2: 0
- Thu Sep 21 15:06:48 2023 A3: 0
- Thu Sep 21 15:06:48 2023 A4: 0
- Thu Sep 21 15:06:48 2023 A5: 0
- Thu Sep 21 15:06:48 2023 A6: 16
- Thu Sep 21 15:06:48 2023 skew 1.08, size 1.270e-13, alpha 1.185, combined = 2.492e-14 rroots = 0
- Thu Sep 21 15:06:48 2023
- Thu Sep 21 15:06:48 2023 commencing relation filtering
- Thu Sep 21 15:06:48 2023 setting target matrix density to 110.0
- Thu Sep 21 15:06:48 2023 estimated available RAM is 128734.5 MB
- Thu Sep 21 15:06:48 2023 commencing duplicate removal, pass 1
- Thu Sep 21 15:07:23 2023 error -15 reading relation 47366436
- Thu Sep 21 15:08:00 2023 error -15 reading relation 97880227
- Thu Sep 21 15:09:48 2023 error -11 reading relation 242048669
- Thu Sep 21 15:10:09 2023 error -11 reading relation 269393079
- Thu Sep 21 15:10:25 2023 skipped 2227 relations with b > 2^32
- Thu Sep 21 15:10:25 2023 found 17929462 hash collisions in 289994284 relations
- Thu Sep 21 15:10:30 2023 commencing duplicate removal, pass 2
- Thu Sep 21 15:11:28 2023 found 0 duplicates and 289994284 unique relations
- Thu Sep 21 15:11:28 2023 memory use: 852.8 MB
- Thu Sep 21 15:11:28 2023 reading ideals above 720000
- Thu Sep 21 15:11:28 2023 commencing singleton removal, initial pass
- Thu Sep 21 15:20:46 2023 memory use: 6024.0 MB
- Thu Sep 21 15:20:46 2023 reading all ideals from disk
- Thu Sep 21 15:20:48 2023 memory use: 14593.8 MB
- Thu Sep 21 15:21:01 2023 keeping 277768080 ideals with weight <= 200, target excess is 1496954
- Thu Sep 21 15:21:18 2023 commencing in-memory singleton removal
- Thu Sep 21 15:21:23 2023 begin with 289994284 relations and 277768080 unique ideals
- Thu Sep 21 15:21:59 2023 reduce to 197593411 relations and 178907664 ideals in 17 passes
- Thu Sep 21 15:21:59 2023 max relations containing the same ideal: 164
- Thu Sep 21 15:22:36 2023 removing 15963906 relations and 13963906 ideals in 2000000 cliques
- Thu Sep 21 15:22:41 2023 commencing in-memory singleton removal
- Thu Sep 21 15:22:44 2023 begin with 181629505 relations and 178907664 unique ideals
- Thu Sep 21 15:23:01 2023 reduce to 180510084 relations and 163808150 ideals in 10 passes
- Thu Sep 21 15:23:01 2023 max relations containing the same ideal: 152
- Thu Sep 21 15:23:35 2023 removing 12008301 relations and 10008302 ideals in 2000000 cliques
- Thu Sep 21 15:23:39 2023 commencing in-memory singleton removal
- Thu Sep 21 15:23:42 2023 begin with 168501783 relations and 163808150 unique ideals
- Thu Sep 21 15:23:57 2023 reduce to 167793815 relations and 153083280 ideals in 10 passes
- Thu Sep 21 15:23:57 2023 max relations containing the same ideal: 148
- Thu Sep 21 15:24:29 2023 removing 10794831 relations and 8794831 ideals in 2000000 cliques
- Thu Sep 21 15:24:32 2023 commencing in-memory singleton removal
- Thu Sep 21 15:24:35 2023 begin with 156998984 relations and 153083280 unique ideals
- Thu Sep 21 15:24:48 2023 reduce to 156377718 relations and 143659753 ideals in 9 passes
- Thu Sep 21 15:24:48 2023 max relations containing the same ideal: 142
- Thu Sep 21 15:25:18 2023 removing 10169664 relations and 8169664 ideals in 2000000 cliques
- Thu Sep 21 15:25:21 2023 commencing in-memory singleton removal
- Thu Sep 21 15:25:24 2023 begin with 146208054 relations and 143659753 unique ideals
- Thu Sep 21 15:25:35 2023 reduce to 145620622 relations and 134895424 ideals in 8 passes
- Thu Sep 21 15:25:35 2023 max relations containing the same ideal: 134
- Thu Sep 21 15:26:03 2023 removing 9796574 relations and 7796574 ideals in 2000000 cliques
- Thu Sep 21 15:26:06 2023 commencing in-memory singleton removal
- Thu Sep 21 15:26:08 2023 begin with 135824048 relations and 134895424 unique ideals
- Thu Sep 21 15:26:18 2023 reduce to 135246947 relations and 126514478 ideals in 8 passes
- Thu Sep 21 15:26:18 2023 max relations containing the same ideal: 130
- Thu Sep 21 15:26:45 2023 removing 9552419 relations and 7552419 ideals in 2000000 cliques
- Thu Sep 21 15:26:48 2023 commencing in-memory singleton removal
- Thu Sep 21 15:26:50 2023 begin with 125694528 relations and 126514478 unique ideals
- Thu Sep 21 15:27:01 2023 reduce to 125104524 relations and 118364157 ideals in 10 passes
- Thu Sep 21 15:27:01 2023 max relations containing the same ideal: 126
- Thu Sep 21 15:27:26 2023 removing 9399707 relations and 7399707 ideals in 2000000 cliques
- Thu Sep 21 15:27:29 2023 commencing in-memory singleton removal
- Thu Sep 21 15:27:31 2023 begin with 115704817 relations and 118364157 unique ideals
- Thu Sep 21 15:27:40 2023 reduce to 115091684 relations and 110342350 ideals in 9 passes
- Thu Sep 21 15:27:40 2023 max relations containing the same ideal: 116
- Thu Sep 21 15:28:03 2023 removing 9313262 relations and 7313262 ideals in 2000000 cliques
- Thu Sep 21 15:28:06 2023 commencing in-memory singleton removal
- Thu Sep 21 15:28:08 2023 begin with 105778422 relations and 110342350 unique ideals
- Thu Sep 21 15:28:15 2023 reduce to 105125848 relations and 102366472 ideals in 8 passes
- Thu Sep 21 15:28:15 2023 max relations containing the same ideal: 107
- Thu Sep 21 15:28:36 2023 removing 5431875 relations and 4408966 ideals in 1022909 cliques
- Thu Sep 21 15:28:38 2023 commencing in-memory singleton removal
- Thu Sep 21 15:28:40 2023 begin with 99693973 relations and 102366472 unique ideals
- Thu Sep 21 15:28:47 2023 reduce to 99469902 relations and 97731416 ideals in 8 passes
- Thu Sep 21 15:28:47 2023 max relations containing the same ideal: 104
- Thu Sep 21 15:29:17 2023 relations with 0 large ideals: 57382
- Thu Sep 21 15:29:17 2023 relations with 1 large ideals: 19184
- Thu Sep 21 15:29:17 2023 relations with 2 large ideals: 264535
- Thu Sep 21 15:29:17 2023 relations with 3 large ideals: 1848314
- Thu Sep 21 15:29:17 2023 relations with 4 large ideals: 7177737
- Thu Sep 21 15:29:17 2023 relations with 5 large ideals: 16920465
- Thu Sep 21 15:29:17 2023 relations with 6 large ideals: 25357633
- Thu Sep 21 15:29:17 2023 relations with 7+ large ideals: 47824652
- Thu Sep 21 15:29:17 2023 commencing 2-way merge
- Thu Sep 21 15:29:48 2023 reduce to 62713555 relation sets and 60975069 unique ideals
- Thu Sep 21 15:29:48 2023 commencing full merge
- Thu Sep 21 15:44:39 2023 memory use: 7837.0 MB
- Thu Sep 21 15:44:43 2023 found 28755921 cycles, need 28655269
- Thu Sep 21 15:44:48 2023 weight of 28655269 cycles is about 3152620235 (110.02/cycle)
- Thu Sep 21 15:44:48 2023 distribution of cycle lengths:
- Thu Sep 21 15:44:48 2023 1 relations: 2396272
- Thu Sep 21 15:44:48 2023 2 relations: 2423832
- Thu Sep 21 15:44:48 2023 3 relations: 2417556
- Thu Sep 21 15:44:48 2023 4 relations: 2277568
- Thu Sep 21 15:44:48 2023 5 relations: 2165242
- Thu Sep 21 15:44:48 2023 6 relations: 2031572
- Thu Sep 21 15:44:48 2023 7 relations: 1892094
- Thu Sep 21 15:44:48 2023 8 relations: 1752823
- Thu Sep 21 15:44:48 2023 9 relations: 1605176
- Thu Sep 21 15:44:48 2023 10+ relations: 9693134
- Thu Sep 21 15:44:48 2023 heaviest cycle: 28 relations
- Thu Sep 21 15:44:53 2023 commencing cycle optimization
- Thu Sep 21 15:45:31 2023 start with 227246855 relations
- Thu Sep 21 15:50:20 2023 pruned 8177875 relations
- Thu Sep 21 15:50:20 2023 memory use: 6419.2 MB
- Thu Sep 21 15:50:20 2023 distribution of cycle lengths:
- Thu Sep 21 15:50:20 2023 1 relations: 2396272
- Thu Sep 21 15:50:20 2023 2 relations: 2478844
- Thu Sep 21 15:50:20 2023 3 relations: 2511295
- Thu Sep 21 15:50:20 2023 4 relations: 2354701
- Thu Sep 21 15:50:20 2023 5 relations: 2250590
- Thu Sep 21 15:50:20 2023 6 relations: 2097057
- Thu Sep 21 15:50:20 2023 7 relations: 1955033
- Thu Sep 21 15:50:20 2023 8 relations: 1798354
- Thu Sep 21 15:50:20 2023 9 relations: 1642401
- Thu Sep 21 15:50:20 2023 10+ relations: 9170722
- Thu Sep 21 15:50:20 2023 heaviest cycle: 28 relations
- Thu Sep 21 15:50:50 2023 RelProcTime: 2642
- Thu Sep 21 15:50:50 2023 elapsed time 00:44:02
- Thu Sep 21 15:52:01 2023
- Thu Sep 21 15:52:01 2023
- Thu Sep 21 15:52:01 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
- Thu Sep 21 15:52:01 2023 random seeds: 94708a17 bda0f133
- Thu Sep 21 15:52:01 2023 MPI process 0 of 2
- Thu Sep 21 15:52:01 2023 Using 8 OpenMP threads
- Thu Sep 21 15:52:01 2023 factoring 3108381563589239783109786882298786636294082513487838872145331662003180966115456926159051549454425897670408166616933752489671915335579333573745984556051090230556123986443049355913306357229626822728893917325027514739575732689386854985036789121 (241 digits)
- Thu Sep 21 15:52:02 2023 no P-1/P+1/ECM available, skipping
- Thu Sep 21 15:52:02 2023 commencing number field sieve (241-digit input)
- Thu Sep 21 15:52:02 2023 R0: 2710505431213761085018632002174854278564453125
- Thu Sep 21 15:52:02 2023 R1: -1361129467683753853853498429727072845824
- Thu Sep 21 15:52:02 2023 A0: 25
- Thu Sep 21 15:52:02 2023 A1: 0
- Thu Sep 21 15:52:02 2023 A2: 0
- Thu Sep 21 15:52:02 2023 A3: 0
- Thu Sep 21 15:52:02 2023 A4: 0
- Thu Sep 21 15:52:02 2023 A5: 0
- Thu Sep 21 15:52:02 2023 A6: 16
- Thu Sep 21 15:52:02 2023 skew 1.08, size 1.270e-13, alpha 1.185, combined = 2.492e-14 rroots = 0
- Thu Sep 21 15:52:02 2023
- Thu Sep 21 15:52:02 2023 commencing linear algebra
- Thu Sep 21 15:52:02 2023 using VBITS=256
- Thu Sep 21 15:52:02 2023 initialized process (0,0) of 1 x 2 grid
- Thu Sep 21 15:52:03 2023 read 28655269 cycles
- Thu Sep 21 15:52:39 2023 cycles contain 98275751 unique relations
- Thu Sep 21 15:53:50 2023 read 98275751 relations
- Thu Sep 21 15:54:12 2023 using 20 quadratic characters above 4294917295
- Thu Sep 21 15:54:47 2023 building initial matrix
- Thu Sep 21 16:13:40 2023 memory use: 12304.0 MB
- Thu Sep 21 16:14:02 2023 read 28655269 cycles
- Thu Sep 21 16:14:07 2023 matrix is 28655092 x 28655269 (12575.2 MB) with weight 3574645537 (124.75/col)
- Thu Sep 21 16:14:07 2023 sparse part has weight 2981316929 (104.04/col)
- Thu Sep 21 16:20:38 2023 filtering completed in 2 passes
- Thu Sep 21 16:20:44 2023 matrix is 28652862 x 28653035 (12575.1 MB) with weight 3574574512 (124.75/col)
- Thu Sep 21 16:20:44 2023 sparse part has weight 2981293353 (104.05/col)
- Thu Sep 21 16:21:31 2023 matrix starts at (0, 0)
- Thu Sep 21 16:21:32 2023 matrix is 28652862 x 14326502 (6287.5 MB) with weight 1787274811 (124.75/col)
- Thu Sep 21 16:21:32 2023 sparse part has weight 1490646855 (104.05/col)
- Thu Sep 21 16:21:32 2023 saving the first 240 matrix rows for later
- Thu Sep 21 16:21:34 2023 matrix includes 256 packed rows
- Thu Sep 21 16:21:39 2023 matrix is 28652622 x 14326502 (5877.7 MB) with weight 1375766874 (96.03/col)
- Thu Sep 21 16:21:39 2023 sparse part has weight 1311571054 (91.55/col)
- Thu Sep 21 16:21:39 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
- Thu Sep 21 16:21:39 2023 selected card has CUDA arch 8.6
- Thu Sep 21 16:22:34 2023 commencing Lanczos iteration
- Thu Sep 21 16:22:35 2023 memory use: 14979.7 MB
- Thu Sep 21 16:23:27 2023 linear algebra at 0.1%, ETA 12h58m
- Thu Sep 21 16:24:44 2023 checking every 30000 dimensions, checkpointing every 2190000 dimensions
- Fri Sep 22 05:30:35 2023 lanczos halted after 112262 iterations (dim = 28652621)
- Fri Sep 22 05:32:20 2023 recovered 40 nontrivial dependencies
- Fri Sep 22 05:32:20 2023 BLanczosTime: 49218
- Fri Sep 22 05:32:20 2023 elapsed time 13:40:19
- Fri Sep 22 05:32:21 2023
- Fri Sep 22 05:32:21 2023
- Fri Sep 22 05:32:21 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
- Fri Sep 22 05:32:21 2023 random seeds: c5cd07c9 07f343f8
- Fri Sep 22 05:32:21 2023 Using 16 OpenMP threads
- Fri Sep 22 05:32:21 2023 factoring 3108381563589239783109786882298786636294082513487838872145331662003180966115456926159051549454425897670408166616933752489671915335579333573745984556051090230556123986443049355913306357229626822728893917325027514739575732689386854985036789121 (241 digits)
- Fri Sep 22 05:32:22 2023 no P-1/P+1/ECM available, skipping
- Fri Sep 22 05:32:22 2023 commencing number field sieve (241-digit input)
- Fri Sep 22 05:32:22 2023 R0: 2710505431213761085018632002174854278564453125
- Fri Sep 22 05:32:22 2023 R1: -1361129467683753853853498429727072845824
- Fri Sep 22 05:32:22 2023 A0: 25
- Fri Sep 22 05:32:22 2023 A1: 0
- Fri Sep 22 05:32:22 2023 A2: 0
- Fri Sep 22 05:32:22 2023 A3: 0
- Fri Sep 22 05:32:22 2023 A4: 0
- Fri Sep 22 05:32:22 2023 A5: 0
- Fri Sep 22 05:32:22 2023 A6: 16
- Fri Sep 22 05:32:22 2023 skew 1.08, size 1.270e-13, alpha 1.185, combined = 2.492e-14 rroots = 0
- Fri Sep 22 05:32:22 2023
- Fri Sep 22 05:32:22 2023 commencing square root phase
- Fri Sep 22 05:32:22 2023 reading relations for dependency 1
- Fri Sep 22 05:32:25 2023 read 14327390 cycles
- Fri Sep 22 05:32:57 2023 cycles contain 49150050 unique relations
- Fri Sep 22 05:35:32 2023 read 49150050 relations
- Fri Sep 22 05:39:36 2023 multiplying 49150050 relations
- Fri Sep 22 05:46:27 2023 multiply complete, coefficients have about 1499.61 million bits
- Fri Sep 22 05:46:30 2023 initial square root is modulo 5331691
- Fri Sep 22 06:00:57 2023 GCD is 1, no factor found
- Fri Sep 22 06:00:57 2023 reading relations for dependency 2
- Fri Sep 22 06:00:59 2023 read 14323694 cycles
- Fri Sep 22 06:01:32 2023 cycles contain 49132064 unique relations
- Fri Sep 22 06:03:53 2023 read 49132064 relations
- Fri Sep 22 06:08:26 2023 multiplying 49132064 relations
- Fri Sep 22 06:15:09 2023 multiply complete, coefficients have about 1499.06 million bits
- Fri Sep 22 06:15:12 2023 initial square root is modulo 5301511
- Fri Sep 22 06:29:34 2023 GCD is 1, no factor found
- Fri Sep 22 06:29:34 2023 reading relations for dependency 3
- Fri Sep 22 06:29:36 2023 read 14324315 cycles
- Fri Sep 22 06:30:08 2023 cycles contain 49136424 unique relations
- Fri Sep 22 06:32:27 2023 read 49136424 relations
- Fri Sep 22 06:36:29 2023 multiplying 49136424 relations
- Fri Sep 22 06:43:10 2023 multiply complete, coefficients have about 1499.19 million bits
- Fri Sep 22 06:43:14 2023 initial square root is modulo 5308579
- Fri Sep 22 06:57:27 2023 GCD is 1, no factor found
- Fri Sep 22 06:57:27 2023 reading relations for dependency 4
- Fri Sep 22 06:57:30 2023 read 14326545 cycles
- Fri Sep 22 06:58:02 2023 cycles contain 49139206 unique relations
- Fri Sep 22 07:00:20 2023 read 49139206 relations
- Fri Sep 22 07:04:54 2023 multiplying 49139206 relations
- Fri Sep 22 07:11:35 2023 multiply complete, coefficients have about 1499.27 million bits
- Fri Sep 22 07:11:38 2023 initial square root is modulo 5312851
- Fri Sep 22 07:25:46 2023 sqrtTime: 6804
- Fri Sep 22 07:25:46 2023 p74 factor: 29218657339864995996752911277756037858239545519947585467372011262259021889
- Fri Sep 22 07:25:46 2023 p168 factor: 106383449705892679280084870503010152492596113508266246154850317156903412885395427714211443687506406459977618753514499484807329086660408240707854918486648485427761569089
- Fri Sep 22 07:25:46 2023 elapsed time 01:53:25

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