Known 11-digit prime factors of Googolplex + 10

  1. Alpertron
  2. Number Theory
  3. Known 11-digit prime factors of Googolplex + 10

This is a list of known 11-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. 10240297597 (k=2)
  2. 10603473383 (k=1)
  3. 11002347331 (k=517855)
  4. 11627871797 (k=838)
  5. 12242555623 (k=9)
  6. 13721887877 (k=270638)
  7. 14416971211 (k=28645)
  8. 16885645813 (k=434)
  9. 17025411281 (k=40)
  10. 18238260437 (k=2318)
  11. 19324920649 (k=70708)
  12. 19723932037 (k=2)
  13. 19827089179 (k=13)
  14. 20208151063 (k=19)
  15. 21425118487 (k=1381)
  16. 22675888687 (k=1)
  17. 23454812063 (k=11)
  18. 23946784921 (k=540)
  19. 24424019173 (k=14)
  20. 25226098957 (k=2)
  21. 25518215197 (k=2)
  22. 25806268819 (k=5091)
  23. 27445356049 (k=8)
  24. 30721507213 (k=2)
  25. 31345301179 (k=1)
  26. 31387819453 (k=2)
  27. 33187772201 (k=100)
  28. 33850205423 (k=1)
  29. 35817954013 (k=29254)
  30. 36264291967 (k=7)
  31. 38711061841 (k=40)
  32. 40012336849 (k=8)
  33. 43840434047 (k=103)
  34. 46303974037 (k=2)
  35. 46783394527 (k=1)
  36. 47684989813 (k=2)
  37. 48214573051 (k=175)
  38. 49913381093 (k=46)
  39. 50706968797 (k=2)
  40. 52353139687 (k=1)
  41. 52405827157 (k=2)
  42. 54193340731 (k=5)
  43. 54747364717 (k=2)
  44. 59679042611 (k=5)
  45. 60101601011 (k=5)
  46. 60816413971 (k=65)
  47. 61663797449 (k=4)
  48. 62988853051 (k=58225)
  49. 64052985173 (k=1126)
  50. 65487614011 (k=426335)
  51. 68354408783 (k=1)
  52. 74619253801 (k=373100)
  53. 76387188529 (k=56)
  54. 77044370437 (k=2)
  55. 80807100139 (k=1)
  56. 82328823281 (k=40)
  57. 82609786117 (k=6942)
  58. 87245912899 (k=1)
  59. 89115964183 (k=481089)
  60. 90477650771 (k=4071535)
  61. 92553418651 (k=396025)
  62. 94128299647 (k=17651)
  63. 94163458357 (k=2)

Phil Carmody is organizing a distributed computing project in order to find more factors of Googolplex + 10. If you like these pages I would appreciate that you donate some idle cycles of your computer. You will be cited as the discoverer of the factors you find.