Known 89-digit prime factors of googolduplex − 1

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  3. Known 89-digit prime factors of googolduplex − 1

This is a list of known 89-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. 113078212 1458165970 9333104004 7546785012 9589694000 3961331978 2796882727 6656640000 0000000001 (Phil Carmody, k=1)
  2. 242338070 0838948266 2248301525 4871929755 6090168654 9186706542 9687500000 0000000000 0000000001 (Phil Carmody, k=3)
  3. 310322799 1560074037 3517023982 3283593046 7635589039 1671162574 6325141207 1874350284 8000000001 (Phil Carmody, k=67)
  4. 327185034 6209248527 8844833374 0234375000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=57559)
  5. 330565653 8008751649 5872000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  6. 358682669 8752000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=6841329)
  7. 381164826 2644351525 8074512530 5838882923 1262207031 2500000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  8. 409600000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  9. 438450491 1992708754 6110544981 4884905896 7797628928 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  10. 448973302 9880533764 7217198061 0442143638 3024772022 2720000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  11. 516003906 2701571310 7539340853 6911010742 1875000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=18591)
  12. 600703060 6269836425 7812500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=129)
  13. 666133814 7750939242 5417900085 4492187500 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  14. 766379200 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=478987)
  15. 950737950 1711720511 2252740403 2000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)