Known 78-digit prime factors of googolduplex − 1

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  3. Known 78-digit prime factors of googolduplex − 1

This is a list of known 78-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. 10759965 4080897839 9472728426 6446076799 1840839385 9863281250 0000000000 0000000001 (Phil Carmody, k=813)
  2. 10821304 3200000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=129)
  3. 10942500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=4377)
  4. 11464014 9586828221 6505917858 7398491799 8313903808 5937500000 0000000000 0000000001 (Dario Alpern, k=169179)
  5. 12621954 0834426879 8828125000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=169409)
  6. 16465072 6318359375 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=215811)
  7. 19236452 4309596163 2207036018 3715820312 5000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=270729)
  8. 21007190 4430437785 2800453815 5805696220 8980629340 4361407727 5933106189 1072000001 (Phil Carmody, k=487)
  9. 22300745 1985306231 4153571827 2648361505 9804160000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  10. 28862693 4852320715 6631542602 5539636611 9384765625 0000000000 0000000000 0000000001 (Dario Alpern, k=1663821)
  11. 33703125 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=2157)
  12. 40149688 7207031250 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=421)
  13. 42651500 3347654894 8555701068 4857459636 9871869683 2656860351 5625000000 0000000001 (Phil Carmody, k=33)
  14. 43568332 8000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=831)
  15. 45035996 2737049600 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  16. 46528909 4561078067 1151673892 8935410513 0769312381 7443847656 2500000000 0000000001 (Phil Carmody, k=9)
  17. 46875000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  18. 47645603 2830543940 7259314066 3229860365 3907775878 9062500000 0000000000 0000000001 (Phil Carmody, k=9)
  19. 52571406 3360000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=6267)
  20. 68495734 1365394604 9497613418 6042055932 5089026099 9154460472 1152000000 0000000001 (Phil Carmody, k=341)
  21. 74216880 0207099138 1503087041 1373747091 9028244480 0000000000 0000000000 0000000001 (Phil Carmody, k=13)
  22. 86389229 1036449933 0171383917 3316955566 4062500000 0000000000 0000000000 0000000001 (Phil Carmody, k=249)
  23. 86669921 8750000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=71)
  24. 99107280 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=1238841)