Known 84-digit prime factors of Googolplex - 1

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  3. Known 84-digit prime factors of Googolplex − 1

This is a list of known 84-digit prime factors of googolplex − 1, i.e., 1010^100 − 1.

These numbers have the form 1 + 2k × 2m × 5n, where 0 ≤ m ≤ 100 and 0 ≤ m ≤ 100.

In the list you can see the prime factors and their corresponding value of k.

  1. 1045 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=209)
  2. 1073 7418240000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  3. 1115 7989501953 1250000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=117)
  4. 1976 9892864000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=2413317)
  5. 2005 7740190981 8320291378 7681609392 1661376953 1250000000 0000000000 0000000000 0000000001 (Phil Carmody, k=37)
  6. 2021 4843750000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=207)
  7. 2055 2089600000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=49)
  8. 2555 5891625117 5105571746 8261718750 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=28099)
  9. 2768 0982506161 9108055310 7894957065 5822753906 2500000000 0000000000 0000000000 0000000001 (Dario Alpern, k=15957)
  10. 3019 3871749120 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=359939)
  11. 3863 4928589686 9787393370 6432580947 8759765625 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=139197)
  12. 4456 1251390240 4749899233 1384215503 9310455322 2656250000 0000000000 0000000000 0000000001 (Dario Alpern, k=82201)
  13. 8800 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)
  14. 9657 4837016305 5369630455 9707641601 5625000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=135917)
  15. 9932 8000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=97)