Known 82-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 82-digit prime factors of Googolplex − 1

This is a list of known 82-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. 12 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  2. 17 0530256582 4240446090 6982421875 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  3. 19 5300000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1953)
  4. 20 4636307898 9088535308 8378906250 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  5. 22 9949392860 3624226525 4259109497 0703125000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=2589)
  6. 29 8932812500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=191317)
  7. 32 7836460201 0697126388 5498046875 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=18023)
  8. 42 6467750003 2121315598 4878540039 0625000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=3001)
  9. 47 0407680000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=183753)
  10. 53 1667660800 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=5192067)
  11. 73 9097595214 8437500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=31)
  12. 82 2476800000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=251)
  13. 99 3013381958 0078125000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=833)