Known 108-digit prime factors of googolduplex − 1

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  3. Known 108-digit prime factors of googolduplex − 1

This is a list of known 108-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. 16263032 5872825665 1011179201 3049125671 3867187500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  2. 16959673 1673395730 1901459043 4399327658 9670400000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=623)
  3. 19638338 3346488267 4383763905 7473469171 9145893992 9263966109 2006247742 0667869331 4560000000 0000000000 0000000001 (Phil Carmody, k=53)
  4. 23466654 4473732797 1381249433 0476036415 3129158950 3158560732 8337976562 4725732736 3885523273 7771520000 0000000001 (Phil Carmody, k=9)
  5. 32113073 0858840973 2381143431 2613640568 6117990400 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  6. 37252902 9846191406 2500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  7. 39231885 8461667547 7397368389 5047915100 6397215279 0021570560 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  8. 41016937 6768000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=191)
  9. 41434528 9311079244 7567336070 7176366080 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=399)
  10. 43204344 3362274188 3644280592 6441632178 2120966784 4380725440 2413745032 5469312529 2032000000 0000000000 0000000001 (Phil Carmody, k=583)
  11. 45665604 5407442251 0956947699 8009800091 8995195494 8205603557 1986285503 9536952972 4121093750 0000000000 0000000001 (Phil Carmody, k=607)
  12. 62771017 3538668076 3835789423 2076664161 0235544446 4034512896 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  13. 68507889 2498860742 9079772653 3575766546 3718379520 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  14. 78812993 4789836800 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  15. 82284604 5575601255 5781155760 5557197447 3065889740 4612650561 2619439489 2081618309 0209960937 5000000000 0000000001 (Phil Carmody, k=7)