Known 164-digit prime factors of googolduplex − 1

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  3. Known 164-digit prime factors of googolduplex − 1

This is a list of known 164-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. 1064 9622220483 6593730583 3563131761 4100588286 8739718105 6439876556 3964843750 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  2. 1432 1083909545 6206813077 0492362074 6290947808 9514384084 5398939973 5420585359 2704511776 1430665392 5830687535 1292430580 7531066532 5497388248 5946083123 0820352000 0000000001 (Phil Carmody, k=7)
  3. 1601 9902769406 8256179626 6279627164 0859520283 9176748957 7460281205 8666647943 3548041251 7221565202 4320000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  4. 2477 4196495307 7143482443 5561563856 7802420874 8601892110 5321826963 1586950119 2736599612 7474923391 1872283124 3865253794 8295929827 5134990831 8321907188 3673600000 0000000001 (Phil Carmody, k=31)
  5. 3076 5575303619 4604110574 1404602866 2957255050 9692518971 8604087829 5898437500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=39)
  6. 4233 1197669376 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=77)
  7. 5236 9347000031 3115288489 3792202010 4809126622 7033933459 1872440780 6313250160 6400000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=741)
  8. 6656 0138878022 8710816145 9769573508 8128676792 9623238160 2749228477 4780273437 5000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  9. 7409 2050308506 5684830773 1543275633 8975281313 1192463929 5753800577 1333246738 0159690789 2149739061 2480000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=111)
  10. 7822 2181491244 2657127083 1443492012 1384376386 3167719520 2442779325 5208241910 9121295174 4245923840 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  11. 8087 9840001451 9193840010 4526105889 2020911433 2676217174 4331083074 7648000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  12. 9703 3643692298 8587219779 1540046515 4048000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=73)