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ECM Factorization

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Nov 13th, 2014
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  1. Elliptic Curve Method factorization
  2.  
  3. Written by Dario Alejandro Alpern ([email protected])
  4.  
  5. 4056 232641 945509 788616 948104 409912 084570 707999 593358 375478 976947
  6. 209897 639352 212717 065108 936565 167643 200261 088606 779734 511205 279686
  7. 047664 540305 669028 870241 274045 107140 148954 328580 329899 488928 676525
  8. 105447 130585 009702 509298 378904 281653 621794 440343 033945 082107 660752
  9. 965478 056843 989995 741993 591993 853530 458807 837346 633129 869761 259243
  10. 654029 944782 593999 660684 248874 035839 404768 404960 977206 242409 933234
  11. 634827 184261 257174 741433 365295 082430 539465 271779 302813 141943 268941
  12. 042178 728174 739874 893073 534787 484720 083441 787084 555746 624193 868740
  13. 094776 151079 610723 817226 717204 726236 445266 082782 028582 711218 457875
  14. 073615 750350 184486 647059 590034 893928 833226 805693 577529 349690 636935
  15. 390167 039641 828903 644783 766604 342889 243956 987219 439659 388237 282055
  16. 964008 330283 006045 889492 189447 734830 893140 427745 713160 927567 379795
  17. 923055 991233 577863 930750 025796 081778 220947 714884 276158 344329 109989
  18. 551177 253911 326652 557975 694909 007902 798168 385701 417175 726314 089604
  19. 495848 912168 181070 819157 991255 548210 191553 177182 519702 597414 544538
  20. 631393 485098 752192 048223 424927 111856 819929 796713 680714 330820 496699
  21. 661850 388684 793689 000313 590498 531746 112271 394381 353913 928591 320370
  22. 508521 204056 765638 157004 600722 396468 773431 677445 662891 459971 675041
  23. 646201 882144 158072 795971 066605 887822 892493 444930 720078 896384 690787
  24. 759204 478240 573229 153268 053976 734607 932035 749559 096519 016880 514472
  25. 790323 173702 258014 905006 824449 895523 403128 721349 033630 507756 901711
  26. 694821 912065 716083 957966 836780 131012 654529 401918 895779 782463 751713
  27. 026995 809828 997636 093136 079887 318945 196730 789819 842774 150688 286766
  28. 366508 472324 928922 777064 060353 237824 316976 051776 180075 758787 464376
  29. 924783 909927 143093 975863 575152 054720 127750 969101 645873 959326 673918
  30. 113473 633129 633778 198494 507502 731789 667069 624297 464526 153057 245918
  31. 328476 412473 468041 932921 241449 550573 329882 125190 488537 936899 121506
  32. 957767 736032 220126 494761 367447 621334 927611 179302 845497 787576 402642
  33. 608192 672340 712559 522028 624887 896336 605456 038041 488708 250414 393594
  34. 552371 912315 005136 328110 505947 991683 115737 690722 470649 415431 446144
  35. 357751 165127 053372 131509 = 56964 779588 412416 070853 071309 108562 701618
  36. 699465 569519 707925 621473 786478 316722 459741 734794 984263 539522 975637
  37. 975869 619288 417142 657084 602862 707008 399519 113715 077464 939162 668941
  38. 916032 098835 222533 875207 195063 291441 453248 598807 606233 893729 545617
  39. 877865 865519 364535 812470 325619 668090 587837 980931 734614 890138 459074
  40. 663315 752382 643561 326293 664922 593816 779070 062748 302727 834160 986607
  41. 075934 322826 200998 989824 115757 926028 016996 291926 936301 009738 794801
  42. 123428 515965 017354 278303 524704 079031 680103 382655 383111 640269 310655
  43. 278830 585424 242105 317091 731007 021800 226800 068497 207528 041641 950092
  44. 366928 226724 082732 409748 747969 297014 598585 534544 622663 344508 737684
  45. 128451 539070 624590 456736 058603 936075 267910 447475 196702 960570 371169
  46. 292823 660536 005490 922968 992440 116624 114471 730965 797768 116970 958678
  47. 750544 268286 315711 158126 638229 602900 442314 665563 595749 849346 040006
  48. 436760 414866 850776 077077 066831 972685 345500 667132 813440 853418 068430
  49. 776191 452496 906435 609502 194711 441241 040045 894900 691175 106092 781331
  50. 737846 277252 684489 316021 929244 028087 (Unknown) x 71205 974485 515520
  51. 088566 339136 385703 377023 374331 961899 634907 026842 233097 895903 074677
  52. 168493 730329 424403 719547 469837 024110 521428 321355 753578 383760 499398
  53. 892143 846831 173953 336177 395040 123544 028167 344008 993829 114301 816560
  54. 748509 507792 367161 932022 347332 331899 205669 765587 907024 585113 234797
  55. 476164 668268 612673 073843 329144 690478 304451 657867 081153 242270 973837
  56. 578435 378409 792701 233258 844917 903532 751248 737280 144697 407535 021245
  57. 364908 670376 262173 493501 404285 644956 271692 847879 405880 098789 600129
  58. 228319 228889 550336 637181 336832 965918 447651 404443 073761 837112 001465
  59. 974859 940324 857225 590752 849387 354069 167723 854838 626838 405502 273269
  60. 582489 531745 916766 284357 632898 370083 487516 199812 917942 669233 097054
  61. 121625 231483 740129 800039 671913 934367 479251 208765 788947 125511 051528
  62. 092009 533692 132237 767584 550827 402484 404424 534619 916086 319316 374612
  63. 293739 058631 956518 805798 165908 342628 447221 673613 329166 446148 249339
  64. 236397 125883 649006 262805 872724 987774 325149 483713 365809 928029 031748
  65. 798042 713120 275188 120068 023207 260359 747025 226029 175326 302707
  66. (Unknown)
  67.  
  68. Rabin probabilistic prime check routine
  69.  
  70. Base used: 2 (0%)
  71.  
  72. Elapsed time: 0d 0h 4m 13s
  73. 56819 modular multiplications have been done
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