Known 15-digit prime factors of googolduplex − 1

  1. Alpertron
  2. Number Theory
  3. Known 15-digit prime factors of googolduplex − 1

This is a list of known 15-digit prime factors of googolduplex − 1, i.e., 1010^(10^100) − 1.

These numbers have the form 1 + 2k × 2m × 5n, where 0 ≤ m ≤ 10100 and 0 ≤ m ≤ 10100.

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

  1. 10170 2694862849 (Dario Alpern, k=6061953)
  2. 10485 7600000001 (Phil Carmody, k=1)
  3. 10500 0000000001 (Phil Carmody, k=21)
  4. 11718 7500000001 (Phil Carmody, k=3)
  5. 12067 0126080001 (Phil Carmody, k=2877)
  6. 12993 1640625001 (Phil Carmody, k=2661)
  7. 13652 6272921601 (Phil Carmody, k=2543)
  8. 14766 2045184001 (Dario Alpern, k=281643)
  9. 16777 2160000001 (Phil Carmody, k=1)
  10. 17152 3813933057 (Phil Carmody, k=39)
  11. +176144543406001 () (k=88072271703)
  12. 18867 1875000001 (Phil Carmody, k=483)
  13. 19200 0000000001 (Phil Carmody, k=3)
  14. 20280 7304687501 (Dario Alpern, k=5191867)
  15. 21683 2000000001 (Phil Carmody, k=847)
  16. 23146 9209354241 (Dario Alpern, k=86229)
  17. 25600 0000000001 (Phil Carmody, k=1)
  18. 27832 0312500001 (Phil Carmody, k=57)
  19. 28124 1085542401 (Dario Alpern, k=670531)
  20. 29360 1280000001 (Phil Carmody, k=7)
  21. 29553 8688000001 (Dario Alpern, k=72153)
  22. 30720 0000000001 (Phil Carmody, k=3)
  23. 40960 0000000001 (Phil Carmody, k=1)
  24. 45776 3671875001 (Phil Carmody, k=3)
  25. 50577 5348776961 (Phil Carmody, k=23)
  26. 52420 8984375001 (Dario Alpern, k=53679)
  27. 65536 0000000001 (Phil Carmody, k=1)
  28. 77661 1328125001 (Dario Alpern, k=3181)
  29. 80654 6875000001 (Dario Alpern, k=51619)
  30. 82948 7500000001 (Dario Alpern, k=66359)
  31. +834427406578561 () (k=1303792822779)
  32. 94437 7409044481 (Dario Alpern, k=5497)