Known 99-digit prime factors of googolduplex − 1

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  3. Known 99-digit prime factors of googolduplex − 1

This is a list of known 99-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. 104651840 1323667416 9467028126 3718214489 2584699701 0438339900 2112000000 0000000000 0000000000 0000000001 (Phil Carmody, k=521)
  2. 106581410 3640150278 8066864013 6718750000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  3. 125325455 5752662338 2315632653 2998851705 3149500009 3162479499 6922177076 1932471584 1063433011 2000000001 (Phil Carmody, k=63)
  4. 127360000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=199)
  5. 152031250 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=973)
  6. 159156065 2741849993 0345718377 0250806976 7444873591 9199838570 2416676597 0362080692 1285815625 7063731201 (Phil Carmody, k=763)
  7. 182518930 2108160000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=83)
  8. 224876928 3294677734 3750000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=4716011)
  9. 372860037 2333688611 5163732968 4441928868 9764790944 9915459845 2150821685 7910156250 0000000000 0000000001 (Phil Carmody, k=121)
  10. 432345564 2275676160 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  11. 436557456 8510055541 9921875000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  12. 470197740 3289150031 8749461488 8898271127 4662227088 3500860350 0682511366 9037818908 6914062500 0000000001 (Phil Carmody, k=1)
  13. 471799066 6751361964 0667276402 2843536788 6500273944 6001841931 3179361280 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  14. 485667223 0564322677 2986547670 5879726660 6017097630 3488031295 3102434726 0713013021 2454400000 0000000001 (Phil Carmody, k=1)
  15. 531691198 3139663491 6152282411 2137830400 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  16. 587315625 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=187941)
  17. 689070355 2635698885 3748602528 9738221172 7187197814 9139366742 6418504121 7126400000 0000000000 0000000001 (Phil Carmody, k=39)
  18. 697198064 3485892905 8877172925 5510935733 4809700699 8171294925 8848221725 9031376114 4832000000 0000000001 (Phil Carmody, k=147)