Known 182-digit prime factors of googolduplex − 1

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  3. Known 182-digit prime factors of googolduplex − 1

This is a list of known 182-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. 10 8910465585 0656076842 4010915314 0327870983 2483207620 7507269643 7926542324 9706049744 7301019467 1770602627 6655267665 6393230144 2104919326 7200000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=491)
  2. 13 5835186182 4006855126 3678936331 6876710237 9679720870 7284373922 3349032519 7788926767 2109297177 9414371491 8092865894 5316744483 8240993099 0988300436 5838132798 6717224121 0937500000 0000000001 (Phil Carmody, k=3)
  3. 14 0408287771 0488024173 8681142616 0568859553 1546616133 3097605940 4116283790 0585925298 5327018829 7395526501 6283734341 1496130382 3974400000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=531)
  4. 16 1429583090 2189265704 1364799499 8338323486 1757041746 1690641426 6304103932 7254111412 9126071929 9316406250 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  5. 19 8070406285 6608439838 5987584000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  6. 49 0823882763 5394449307 0745600000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=203)
  7. 55 7320453887 0988800000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=99)
  8. 66 1055968790 2485989519 1530803277 1039828404 6829642812 1928464879 5274405791 2363113458 2518921043 9715284847 5912120250 2335830425 6000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)