Known 96-digit prime factors of googolduplex − 1

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  3. Known 96-digit prime factors of googolduplex − 1

This is a list of known 96-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. 114440 9179687500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  2. 142108 5471520200 3717422485 3515625000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  3. 160000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  4. 169398 6850096987 5138080744 2740805632 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=261)
  5. 200173 4546998317 4562322612 3440507005 7795761329 0891458746 0458278656 0058593750 0000000000 0000000001 (Phil Carmody, k=203)
  6. 237684 4875427930 1278063185 1008000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  7. 340282 3669209384 6346337460 7431768211 4560000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  8. 383123 8852164722 1458958675 6787577295 9046847805 4590054400 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  9. 394921 0937570894 5011719260 3813764121 1958566077 5205916720 3666165760 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  10. 409600 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  11. 539260 3844284260 3885567382 3923779649 1906684615 0030869466 7182862758 6364746093 7500000000 0000000001 (Phil Carmody, k=7)
  12. 591534 3761444091 7968750000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=99243)
  13. 625777 4519299541 2570166651 5479360971 0750110905 3417561619 5422346041 6659352872 9703613953 9673907201 (Phil Carmody, k=3)
  14. 725355 4917687775 0482370560 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  15. 913438 5233318143 2387730302 0447676887 2849578393 6000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)