Known 89-digit prime factors of Googolplex - 1

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

This is a list of known 89-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. 327185034 6209248527 8844833374 0234375000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=57559)
  2. 358682669 8752000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=6841329)
  3. 409600000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  4. 516003906 2701571310 7539340853 6911010742 1875000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=18591)
  5. 600703060 6269836425 7812500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=129)
  6. 766379200 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=478987)