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Feb 9th, 2021
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  1. Thu Feb 4 14:27:36 2021
  2. Thu Feb 4 14:27:36 2021 Msieve v. 1.54 (SVN 1030)
  3. Thu Feb 4 14:27:36 2021 random seeds: 86ea14c1 14414613
  4. Thu Feb 4 14:27:36 2021 factoring 172282321913464114150160339658281460042524379498739464352164479024588571464669822548361643777240338727940019145934396930389108221808291170688942941049034048025812420301319701775678781985322991990231716957357121 (210 digits)
  5. Thu Feb 4 14:27:37 2021 no P-1/P+1/ECM available, skipping
  6. Thu Feb 4 14:27:37 2021 commencing number field sieve (210-digit input)
  7. Thu Feb 4 14:27:37 2021 R0: 52666193272726422601456708224751866691705278695881
  8. Thu Feb 4 14:27:37 2021 R1: -1
  9. Thu Feb 4 14:27:37 2021 A0: 1
  10. Thu Feb 4 14:27:37 2021 A1: 0
  11. Thu Feb 4 14:27:37 2021 A2: 0
  12. Thu Feb 4 14:27:37 2021 A3: 0
  13. Thu Feb 4 14:27:37 2021 A4: 0
  14. Thu Feb 4 14:27:37 2021 A5: 841
  15. Thu Feb 4 14:27:37 2021 skew 0.26, size 2.300e-17, alpha 0.772, combined = 8.468e-14 rroots = 1
  16. Thu Feb 4 14:27:37 2021
  17. Thu Feb 4 14:27:37 2021 commencing relation filtering
  18. Thu Feb 4 14:27:37 2021 setting target matrix density to 120.0
  19. Thu Feb 4 14:27:37 2021 estimated available RAM is 16021.5 MB
  20. Thu Feb 4 14:27:37 2021 commencing duplicate removal, pass 1
  21. [ . . . skipped 5144 error -n reading relation nnn messages . . . ]
  22. [ 3928 error -1 ]
  23. [ 405 error -5 ]
  24. [ 59 error -6 ]
  25. [ 170 error -9 ]
  26. [ 527 error -11 ]
  27. [ 55 error -15 ]
  28. Thu Feb 4 15:03:12 2021 skipped 9368 relations with b > 2^32
  29. Thu Feb 4 15:03:12 2021 skipped 739 relations with composite factors
  30. Thu Feb 4 15:03:12 2021 found 36694677 hash collisions in 213288828 relations
  31. Thu Feb 4 15:03:44 2021 added 730996 free relations
  32. Thu Feb 4 15:03:44 2021 commencing duplicate removal, pass 2
  33. Thu Feb 4 15:09:05 2021 found 34404852 duplicates and 179614972 unique relations
  34. Thu Feb 4 15:09:05 2021 memory use: 1321.5 MB
  35. Thu Feb 4 15:09:05 2021 reading ideals above 163905536
  36. Thu Feb 4 15:09:05 2021 commencing singleton removal, initial pass
  37. Thu Feb 4 15:32:44 2021 memory use: 3012.0 MB
  38. Thu Feb 4 15:32:44 2021 reading all ideals from disk
  39. Thu Feb 4 15:32:47 2021 memory use: 3020.1 MB
  40. Thu Feb 4 15:32:56 2021 commencing in-memory singleton removal
  41. Thu Feb 4 15:33:05 2021 begin with 179614972 relations and 154793558 unique ideals
  42. Thu Feb 4 15:35:23 2021 reduce to 107745386 relations and 74809651 ideals in 15 passes
  43. Thu Feb 4 15:35:23 2021 max relations containing the same ideal: 38
  44. Thu Feb 4 15:35:31 2021 reading ideals above 720000
  45. Thu Feb 4 15:35:31 2021 commencing singleton removal, initial pass
  46. Thu Feb 4 15:56:12 2021 memory use: 2756.0 MB
  47. Thu Feb 4 15:56:12 2021 reading all ideals from disk
  48. Thu Feb 4 15:56:17 2021 memory use: 4402.5 MB
  49. Thu Feb 4 15:56:33 2021 keeping 92577579 ideals with weight <= 200, target excess is 587817
  50. Thu Feb 4 15:56:54 2021 commencing in-memory singleton removal
  51. Thu Feb 4 15:57:06 2021 begin with 107745386 relations and 92577579 unique ideals
  52. Thu Feb 4 16:00:11 2021 reduce to 107699245 relations and 92531429 ideals in 10 passes
  53. Thu Feb 4 16:00:11 2021 max relations containing the same ideal: 200
  54. Thu Feb 4 16:01:31 2021 removing 11795271 relations and 9795271 ideals in 2000000 cliques
  55. Thu Feb 4 16:01:36 2021 commencing in-memory singleton removal
  56. Thu Feb 4 16:01:47 2021 begin with 95903974 relations and 92531429 unique ideals
  57. Thu Feb 4 16:04:13 2021 reduce to 94954849 relations and 81765147 ideals in 9 passes
  58. Thu Feb 4 16:04:13 2021 max relations containing the same ideal: 194
  59. Thu Feb 4 16:05:24 2021 removing 8979274 relations and 6979274 ideals in 2000000 cliques
  60. Thu Feb 4 16:05:28 2021 commencing in-memory singleton removal
  61. Thu Feb 4 16:05:38 2021 begin with 85975575 relations and 81765147 unique ideals
  62. Thu Feb 4 16:07:48 2021 reduce to 85329981 relations and 74126977 ideals in 9 passes
  63. Thu Feb 4 16:07:48 2021 max relations containing the same ideal: 181
  64. Thu Feb 4 16:08:52 2021 removing 8137437 relations and 6137437 ideals in 2000000 cliques
  65. Thu Feb 4 16:08:56 2021 commencing in-memory singleton removal
  66. Thu Feb 4 16:09:05 2021 begin with 77192544 relations and 74126977 unique ideals
  67. Thu Feb 4 16:10:14 2021 reduce to 76602752 relations and 67387229 ideals in 7 passes
  68. Thu Feb 4 16:10:14 2021 max relations containing the same ideal: 172
  69. Thu Feb 4 16:10:50 2021 removing 7731459 relations and 5731459 ideals in 2000000 cliques
  70. Thu Feb 4 16:10:52 2021 commencing in-memory singleton removal
  71. Thu Feb 4 16:10:58 2021 begin with 68871293 relations and 67387229 unique ideals
  72. Thu Feb 4 16:12:29 2021 reduce to 68287047 relations and 61058039 ideals in 8 passes
  73. Thu Feb 4 16:12:29 2021 max relations containing the same ideal: 158
  74. Thu Feb 4 16:13:21 2021 removing 7499270 relations and 5499270 ideals in 2000000 cliques
  75. Thu Feb 4 16:13:24 2021 commencing in-memory singleton removal
  76. Thu Feb 4 16:13:31 2021 begin with 60787777 relations and 61058039 unique ideals
  77. Thu Feb 4 16:14:50 2021 reduce to 60186613 relations and 54942223 ideals in 8 passes
  78. Thu Feb 4 16:14:50 2021 max relations containing the same ideal: 144
  79. Thu Feb 4 16:15:37 2021 removing 7358103 relations and 5358103 ideals in 2000000 cliques
  80. Thu Feb 4 16:15:40 2021 commencing in-memory singleton removal
  81. Thu Feb 4 16:15:45 2021 begin with 52828510 relations and 54942223 unique ideals
  82. Thu Feb 4 16:16:54 2021 reduce to 52176007 relations and 48913363 ideals in 8 passes
  83. Thu Feb 4 16:16:54 2021 max relations containing the same ideal: 131
  84. Thu Feb 4 16:17:35 2021 removing 7282652 relations and 5282652 ideals in 2000000 cliques
  85. Thu Feb 4 16:17:37 2021 commencing in-memory singleton removal
  86. Thu Feb 4 16:17:42 2021 begin with 44893355 relations and 48913363 unique ideals
  87. Thu Feb 4 16:18:40 2021 reduce to 44164787 relations and 42878523 ideals in 8 passes
  88. Thu Feb 4 16:18:40 2021 max relations containing the same ideal: 116
  89. Thu Feb 4 16:19:14 2021 removing 2822463 relations and 2218067 ideals in 604396 cliques
  90. Thu Feb 4 16:19:16 2021 commencing in-memory singleton removal
  91. Thu Feb 4 16:19:21 2021 begin with 41342324 relations and 42878523 unique ideals
  92. Thu Feb 4 16:20:07 2021 reduce to 41225676 relations and 40542439 ideals in 7 passes
  93. Thu Feb 4 16:20:07 2021 max relations containing the same ideal: 111
  94. Thu Feb 4 16:20:49 2021 relations with 0 large ideals: 11372
  95. Thu Feb 4 16:20:49 2021 relations with 1 large ideals: 3096
  96. Thu Feb 4 16:20:49 2021 relations with 2 large ideals: 51195
  97. Thu Feb 4 16:20:49 2021 relations with 3 large ideals: 431317
  98. Thu Feb 4 16:20:49 2021 relations with 4 large ideals: 1998203
  99. Thu Feb 4 16:20:49 2021 relations with 5 large ideals: 5552119
  100. Thu Feb 4 16:20:49 2021 relations with 6 large ideals: 10064964
  101. Thu Feb 4 16:20:49 2021 relations with 7+ large ideals: 23113410
  102. Thu Feb 4 16:20:49 2021 commencing 2-way merge
  103. Thu Feb 4 16:21:32 2021 reduce to 26575293 relation sets and 25892056 unique ideals
  104. Thu Feb 4 16:21:32 2021 commencing full merge
  105. Thu Feb 4 16:37:14 2021 memory use: 3505.1 MB
  106. Thu Feb 4 16:37:18 2021 found 12212100 cycles, need 12172256
  107. Thu Feb 4 16:37:24 2021 weight of 12172256 cycles is about 1461337878 (120.05/cycle)
  108. Thu Feb 4 16:37:24 2021 distribution of cycle lengths:
  109. Thu Feb 4 16:37:24 2021 1 relations: 597188
  110. Thu Feb 4 16:37:24 2021 2 relations: 816775
  111. Thu Feb 4 16:37:24 2021 3 relations: 916847
  112. Thu Feb 4 16:37:24 2021 4 relations: 930054
  113. Thu Feb 4 16:37:24 2021 5 relations: 941912
  114. Thu Feb 4 16:37:24 2021 6 relations: 911579
  115. Thu Feb 4 16:37:24 2021 7 relations: 886245
  116. Thu Feb 4 16:37:24 2021 8 relations: 836869
  117. Thu Feb 4 16:37:24 2021 9 relations: 782267
  118. Thu Feb 4 16:37:24 2021 10+ relations: 4552520
  119. Thu Feb 4 16:37:24 2021 heaviest cycle: 28 relations
  120. Thu Feb 4 16:37:28 2021 commencing cycle optimization
  121. Thu Feb 4 16:38:05 2021 start with 103237038 relations
  122. Thu Feb 4 16:43:09 2021 pruned 4605368 relations
  123. Thu Feb 4 16:43:09 2021 memory use: 2775.7 MB
  124. Thu Feb 4 16:43:09 2021 distribution of cycle lengths:
  125. Thu Feb 4 16:43:09 2021 1 relations: 597188
  126. Thu Feb 4 16:43:09 2021 2 relations: 837711
  127. Thu Feb 4 16:43:09 2021 3 relations: 957032
  128. Thu Feb 4 16:43:09 2021 4 relations: 969471
  129. Thu Feb 4 16:43:09 2021 5 relations: 987177
  130. Thu Feb 4 16:43:09 2021 6 relations: 954304
  131. Thu Feb 4 16:43:09 2021 7 relations: 928237
  132. Thu Feb 4 16:43:09 2021 8 relations: 873169
  133. Thu Feb 4 16:43:09 2021 9 relations: 815315
  134. Thu Feb 4 16:43:09 2021 10+ relations: 4252652
  135. Thu Feb 4 16:43:09 2021 heaviest cycle: 28 relations
  136. Thu Feb 4 16:43:36 2021 RelProcTime: 8159
  137. Thu Feb 4 16:43:36 2021 elapsed time 02:16:00
  138. Thu Feb 4 16:56:04 2021
  139. Thu Feb 4 16:56:04 2021
  140. Thu Feb 4 16:56:04 2021 Msieve v. 1.54 (SVN 1030)
  141. Thu Feb 4 16:56:04 2021 random seeds: e08e0d54 74facb9f
  142. Thu Feb 4 16:56:04 2021 factoring 172282321913464114150160339658281460042524379498739464352164479024588571464669822548361643777240338727940019145934396930389108221808291170688942941049034048025812420301319701775678781985322991990231716957357121 (210 digits)
  143. Thu Feb 4 16:56:04 2021 no P-1/P+1/ECM available, skipping
  144. Thu Feb 4 16:56:04 2021 commencing number field sieve (210-digit input)
  145. Thu Feb 4 16:56:04 2021 R0: 52666193272726422601456708224751866691705278695881
  146. Thu Feb 4 16:56:04 2021 R1: -1
  147. Thu Feb 4 16:56:04 2021 A0: 1
  148. Thu Feb 4 16:56:04 2021 A1: 0
  149. Thu Feb 4 16:56:04 2021 A2: 0
  150. Thu Feb 4 16:56:04 2021 A3: 0
  151. Thu Feb 4 16:56:04 2021 A4: 0
  152. Thu Feb 4 16:56:04 2021 A5: 841
  153. Thu Feb 4 16:56:04 2021 skew 0.26, size 2.300e-17, alpha 0.772, combined = 8.468e-14 rroots = 1
  154. Thu Feb 4 16:56:04 2021
  155. Thu Feb 4 16:56:04 2021 commencing linear algebra
  156. Thu Feb 4 16:56:06 2021 read 12172256 cycles
  157. Thu Feb 4 16:56:24 2021 cycles contain 40836461 unique relations
  158. Thu Feb 4 17:01:30 2021 read 40836461 relations
  159. Thu Feb 4 17:03:09 2021 using 20 quadratic characters above 4294917295
  160. Thu Feb 4 17:05:38 2021 building initial matrix
  161. Thu Feb 4 17:13:11 2021 memory use: 5313.6 MB
  162. Thu Feb 4 17:13:16 2021 read 12172256 cycles
  163. Thu Feb 4 17:13:18 2021 matrix is 12172079 x 12172256 (5723.2 MB) with weight 1641720077 (134.87/col)
  164. Thu Feb 4 17:13:18 2021 sparse part has weight 1366400271 (112.26/col)
  165. Thu Feb 4 17:15:20 2021 filtering completed in 2 passes
  166. Thu Feb 4 17:15:22 2021 matrix is 12171895 x 12172072 (5723.2 MB) with weight 1641713709 (134.88/col)
  167. Thu Feb 4 17:15:22 2021 sparse part has weight 1366398082 (112.26/col)
  168. Thu Feb 4 17:16:07 2021 matrix starts at (0, 0)
  169. Thu Feb 4 17:16:09 2021 matrix is 12171895 x 12172072 (5723.2 MB) with weight 1641713709 (134.88/col)
  170. Thu Feb 4 17:16:09 2021 sparse part has weight 1366398082 (112.26/col)
  171. Thu Feb 4 17:16:09 2021 saving the first 48 matrix rows for later
  172. Thu Feb 4 17:16:10 2021 matrix includes 64 packed rows
  173. Thu Feb 4 17:16:12 2021 matrix is 12171847 x 12172072 (5497.9 MB) with weight 1412735063 (116.06/col)
  174. Thu Feb 4 17:16:12 2021 sparse part has weight 1319519699 (108.41/col)
  175. Thu Feb 4 17:16:12 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  176. Thu Feb 4 17:16:52 2021 commencing Lanczos iteration (12 threads)
  177. Thu Feb 4 17:16:52 2021 memory use: 5263.7 MB
  178. Thu Feb 4 17:17:42 2021 linear algebra at 0.0%, ETA 106h41m
  179. Thu Feb 4 17:17:58 2021 checkpointing every 120000 dimensions
  180. Tue Feb 9 04:58:28 2021 lanczos halted after 192479 iterations (dim = 12171845)
  181. Tue Feb 9 04:58:37 2021 recovered 37 nontrivial dependencies
  182. Tue Feb 9 04:58:38 2021 BLanczosTime: 388954
  183. Tue Feb 9 04:58:38 2021 elapsed time 108:02:34
  184. Tue Feb 9 04:58:38 2021
  185. Tue Feb 9 04:58:38 2021
  186. Tue Feb 9 04:58:38 2021 Msieve v. 1.54 (SVN 1030)
  187. Tue Feb 9 04:58:38 2021 random seeds: ec2870c8 33a04ed1
  188. Tue Feb 9 04:58:38 2021 factoring 172282321913464114150160339658281460042524379498739464352164479024588571464669822548361643777240338727940019145934396930389108221808291170688942941049034048025812420301319701775678781985322991990231716957357121 (210 digits)
  189. Tue Feb 9 04:58:39 2021 no P-1/P+1/ECM available, skipping
  190. Tue Feb 9 04:58:39 2021 commencing number field sieve (210-digit input)
  191. Tue Feb 9 04:58:39 2021 R0: 52666193272726422601456708224751866691705278695881
  192. Tue Feb 9 04:58:39 2021 R1: -1
  193. Tue Feb 9 04:58:39 2021 A0: 1
  194. Tue Feb 9 04:58:39 2021 A1: 0
  195. Tue Feb 9 04:58:39 2021 A2: 0
  196. Tue Feb 9 04:58:39 2021 A3: 0
  197. Tue Feb 9 04:58:39 2021 A4: 0
  198. Tue Feb 9 04:58:39 2021 A5: 841
  199. Tue Feb 9 04:58:39 2021 skew 0.26, size 2.300e-17, alpha 0.772, combined = 8.468e-14 rroots = 1
  200. Tue Feb 9 04:58:39 2021
  201. Tue Feb 9 04:58:39 2021 commencing square root phase
  202. Tue Feb 9 04:58:39 2021 reading relations for dependency 1
  203. Tue Feb 9 04:58:40 2021 read 6085276 cycles
  204. Tue Feb 9 04:58:51 2021 cycles contain 20415146 unique relations
  205. Tue Feb 9 05:02:39 2021 read 20415146 relations
  206. Tue Feb 9 05:03:58 2021 multiplying 20415146 relations
  207. Tue Feb 9 05:15:09 2021 multiply complete, coefficients have about 715.64 million bits
  208. Tue Feb 9 05:15:12 2021 initial square root is modulo 2632601
  209. Tue Feb 9 05:28:33 2021 GCD is N, no factor found
  210. Tue Feb 9 05:28:33 2021 reading relations for dependency 2
  211. Tue Feb 9 05:28:34 2021 read 6085080 cycles
  212. Tue Feb 9 05:28:44 2021 cycles contain 20416268 unique relations
  213. Tue Feb 9 05:32:32 2021 read 20416268 relations
  214. Tue Feb 9 05:33:51 2021 multiplying 20416268 relations
  215. Tue Feb 9 05:45:03 2021 multiply complete, coefficients have about 715.68 million bits
  216. Tue Feb 9 05:45:05 2021 initial square root is modulo 2634551
  217. Tue Feb 9 05:58:26 2021 GCD is N, no factor found
  218. Tue Feb 9 05:58:26 2021 reading relations for dependency 3
  219. Tue Feb 9 05:58:28 2021 read 6084053 cycles
  220. Tue Feb 9 05:58:38 2021 cycles contain 20419128 unique relations
  221. Tue Feb 9 06:02:24 2021 read 20419128 relations
  222. Tue Feb 9 06:03:44 2021 multiplying 20419128 relations
  223. Tue Feb 9 06:14:55 2021 multiply complete, coefficients have about 715.78 million bits
  224. Tue Feb 9 06:14:58 2021 initial square root is modulo 2639971
  225. Tue Feb 9 06:28:20 2021 sqrtTime: 5381
  226. Tue Feb 9 06:28:20 2021 p74 factor: 99588619155819572224582534720585282431281201492709930762083442321970946993
  227. Tue Feb 9 06:28:20 2021 p136 factor: 1729939860335904699495487676174053412321387761365180901320510192260923148726564950824176373250214172385615830034659436085124418175671697
  228. Tue Feb 9 06:28:20 2021 elapsed time 01:29:42
  229. *********** Processing f29_172p1.log *************
  230. http://factordb.com/report.php?report=172282321913464114150160339658281460042524379498739464352164479024588571464669822548361643777240338727940019145934396930389108221808291170688942941049034048025812420301319701775678781985322991990231716957357121%3D99588619155819572224582534720585282431281201492709930762083442321970946993*1729939860335904699495487676174053412321387761365180901320510192260923148726564950824176373250214172385615830034659436085124418175671697
  231. 1 new factor added to factordb
  232. 1 factor already known by factordb
  233. 1 Thank you for your contribution
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