Known 98-digit prime factors of googolduplex − 1

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  3. Known 98-digit prime factors of googolduplex − 1

This is a list of known 98-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. 10808639 1056891904 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  2. 10828000 4935420243 1761673675 5033224567 7765631417 0045953474 5600000000 0000000000 0000000000 0000000001 (Phil Carmody, k=69)
  3. 15957820 8189131051 0612152320 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=33)
  4. 16384000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  5. 25037089 2770340660 8972771325 3604055140 9953214268 0004653811 9204342365 2648925781 2500000000 0000000001 (Phil Carmody, k=13)
  6. 28311552 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  7. 29259948 7304687500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=95879)
  8. 32800994 3653451106 2235962433 4649543393 8520436961 6833020018 0207611992 9552078247 0703125000 0000000001 (Phil Carmody, k=109)
  9. 38015050 1871006439 7025280000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=161)
  10. 45138983 0715758403 0599948302 9334234028 2367573800 4816082593 6065521091 2227630615 2343750000 0000000001 (Phil Carmody, k=3)
  11. 45401975 5125045776 3671875000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=39)
  12. 58028439 3415022003 8589644800 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  13. 75885503 6025675418 3279148073 5293707290 7190171504 7420004889 8922255425 9486408284 5696000000 0000000001 (Phil Carmody, k=1)
  14. 76843750 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=2459)
  15. 77133026 1244315332 2601418043 2375804921 0657437015 7405609446 6048000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  16. 87045746 7211824871 5475411114 2137561629 5443821400 2860359680 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=71)
  17. 93248106 8268349954 0413417152 7528907518 8355282745 0269702008 6995667467 4056898500 0791244800 0000000001 (Phil Carmody, k=3)