Known 88-digit prime factors of Googolplex - 1

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  3. Known 88-digit prime factors of Googolplex − 1

This is a list of known 88-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. 14551915 2283668518 0664062500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  2. 15021502 9716491699 2187500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=252019)
  3. 15441894 5312500000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=253)
  4. 24576000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  5. 25646705 6274414062 5000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=672313)
  6. 47994035 4125574231 1477661132 8125000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=5277)
  7. 50708877 0973496139 0495300292 9687500000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=11151)
  8. 71474085 8880000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=68163)