Known 83-digit prime factors of Googolplex - 1

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  3. Known 83-digit prime factors of Googolplex − 1

This is a list of known 83-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. 100 8308020411 5191236269 3110480904 5791625976 5625000000 0000000000 0000000000 0000000001 (Phil Carmody, k=93)
  2. 111 3221514970 0641632080 0781250000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=153)
  3. 309 0434574914 9797484278 6788940429 6875000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=21747)
  4. 358 4819200000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=547)
  5. 390 7416612491 9429421424 8657226562 5000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=3437)
  6. 509 2791980132 4605941772 4609375000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=174987)