Known 9-digit prime factors of Googolplex + 10

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  2. Number Theory
  3. Known 9-digit prime factors of Googolplex + 10

This is a list of known 9-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. 100398997 (k=2)
  2. 100820677 (k=6086)
  3. 101009899 (k=1)
  4. 103736293 (k=62)
  5. 105288979 (k=69913)
  6. 123662179 (k=1)
  7. 125956921 (k=20)
  8. 128727127 (k=157)
  9. 133544423 (k=1)
  10. 140680453 (k=422)
  11. 159742927 (k=7)
  12. 167329529 (k=4)
  13. 168658447 (k=10181)
  14. 175980619 (k=1)
  15. 213309841 (k=40)
  16. 294764863 (k=7)
  17. 298693693 (k=36794)
  18. 333017809 (k=8)
  19. 363603637 (k=2)
  20. 368129653 (k=2)
  21. 394848451 (k=25)
  22. 451128823 (k=67)
  23. 542053117 (k=2)
  24. 543918847 (k=1)
  25. 560388247 (k=41)
  26. 599144041 (k=3025980)
  27. 606060607 (k=1)
  28. 621616007 (k=2543)
  29. 632395303 (k=7)
  30. 651596653 (k=14)
  31. 653947933 (k=362)
  32. 668924131 (k=1855)
  33. 673459933 (k=2)
  34. 753007531 (k=5)
  35. 770388623 (k=76261)
  36. 797614247 (k=13)
  37. 813166531 (k=5)
  38. 855954397 (k=2)
  39. 926403853 (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.