Known 57-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 57-digit prime factors of Googolplex − 1

This is a list of known 57-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 ≤ n ≤ 100.

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

  1. 1023412 5635962373 4691715088 3840000000 0000000000 0000000001 (Dario Alpern, k=5417901)
  2. 1351562 5000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=173)
  3. 1623313 4784864405 4220800000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)
  4. 1665334 5369377348 1063544750 2136230468 7500000000 0000000001 (Phil Carmody, k=3)
  5. 2356640 1773043494 1847601152 0000000000 0000000000 0000000001 (Dario Alpern, k=3193843)
  6. 3222408 8907612944 6764321177 6000000000 0000000000 0000000001 (Dario Alpern, k=5458973)
  7. 3580312 2257362944 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=130251)
  8. 4317326 9321551688 2823123978 5964135080 5759429931 6406250001 (Dario Alpern, k=5097)
  9. 5161406 2500000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=33033)
  10. 8139977 5808677077 2933959960 9375000000 0000000000 0000000001 (Phil Carmody, k=179)
  11. 8267954 9813116108 8000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=6015729)
  12. 9269933 9957619253 3828589148 4702005982 3989868164 0625000001 (Dario Alpern, k=1710001)