Known 12-digit prime factors of Googolplex - 10

  1. Alpertron
  2. Number Theory
  3. Known 12-digit prime factors of Googolplex − 10

This is a list of known 12-digit prime factors of googolplex − 10, i.e., 1010^100 − 10.

These numbers have the form 1 + 2k ∏i piei, where pi is a prime factor of 10100 − 1 and ei is zero or one.

The list of prime factors of 10100 − 1 is: 3, 3, 11, 41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801, 18 2521213001, 1410 3673319201, 7887 5943472201 and 168058 8011350901.

In the list you can see the prime factors, their discoverer and their corresponding value of k.

  1. 101550616267 (k=1)
  2. 105470163083 (k=1)
  3. 109857368083 (k=7)
  4. 118949721493 (k=774382)
  5. 120000000013 (k=2)
  6. 123219810067 (k=1)
  7. 124489521883 (k=599)
  8. 125527721947 (k=1)
  9. 125558331397 (k=3046)
  10. 134409034987 (k=1)
  11. 140381980399 (k=1)
  12. 141039646747 (k=1)
  13. 143026075963 (k=119)
  14. 148414634119 (k=461)
  15. 149327420533 (k=2)
  16. 150795126973 (k=14)
  17. 164293080089 (k=4)
  18. 167409131761 (k=520)
  19. 169038442933 (k=2)
  20. 171171985333 (k=2)
  21. 175489954883 (k=1)
  22. 176027102197 (k=2566)
  23. 184185816119 (k=19)
  24. 192135151693 (k=94294)
  25. 198856922729 (k=4)
  26. 208205887027 (k=1)
  27. 209131646671 (k=4715)
  28. 212485042067 (k=593)
  29. 212742089107 (k=1)
  30. 217143230173 (k=2)
  31. 223798310689 (k=4102928)
  32. 223991130799 (k=1)
  33. 226226098603 (k=33719)
  34. 228252194293 (k=2)
  35. 233559385481 (k=21740)
  36. 234201924133 (k=242)
  37. 235086763519 (k=1)
  38. 237322790197 (k=14006)
  39. 244804112911 (k=2345)
  40. 244925758837 (k=2)
  41. 246389458591 (k=5)
  42. 256757977999 (k=1)
  43. 288197251333 (k=2)
  44. 291925181533 (k=2)
  45. 292582742437 (k=593862)
  46. 293004584563 (k=37)
  47. 301425674603 (k=54041)
  48. 307039961279 (k=19)
  49. 307240799717 (k=429538)
  50. 313815306443 (k=1)
  51. 319901680627 (k=1)
  52. 337222161079 (k=4553)
  53. 346497620107 (k=1)
  54. 351621094933 (k=698634)
  55. 351763935443 (k=1)
  56. 353703700639 (k=1)
  57. 355512844837 (k=2)
  58. 361000686637 (k=138142)
  59. 361448004919 (k=1322503)
  60. 382902065347 (k=1)
  61. 398001502133 (k=26)
  62. 409615805083 (k=347)
  63. 410512312723 (k=47)
  64. 418892088283 (k=317)
  65. 432304523003 (k=1)
  66. 447326732719 (k=1)
  67. 462123693919 (k=1)
  68. 462343970677 (k=27286)
  69. 482970297079 (k=1)
  70. 485823826093 (k=2)
  71. 492833128283 (k=1)
  72. 501100712683 (k=317)
  73. 501524818849 (k=16)
  74. 534727186009 (k=1588)
  75. 557777777723 (k=1)
  76. 564620163853 (k=33322)
  77. 564806551879 (k=1)
  78. 581450116831 (k=5)
  79. 585017992813 (k=2)
  80. 589409771311 (k=11595)
  81. 597426057169 (k=8)
  82. 602221011877 (k=22)
  83. 604293837907 (k=1)
  84. 607014233719 (k=110183)
  85. 610786629671 (k=35)
  86. 613395505427 (k=263)
  87. 626920594693 (k=2548457702)
  88. 650669159911 (k=35)
  89. 660000000067 (k=1)
  90. 684335539603 (k=39)
  91. 689596625917 (k=2)
  92. 695832927239 (k=239)
  93. 715352097637 (k=2)
  94. 719429669839 (k=41)
  95. 723210841321 (k=20)
  96. 809449763959 (k=1)
  97. 819141782077 (k=2)
  98. 830946357121 (k=320)
  99. 892346276449 (k=16)
  100. 912725438329 (k=36)
  101. 918280982719 (k=1)
  102. 973645936363 (k=9)
  103. 973661481973 (k=5950094)