Known 94-digit prime factors of Googolplex - 10

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  2. Number Theory
  3. Known 94-digit prime factors of Googolplex − 10

This is a list of known 94-digit prime factors of googolplex − 10, i.e., 1010^100 − 10.

These numbers have the form 1 + 2ki piei, where pi is a prime factor of 10100 − 1 and ei is zero or one.

The list of prime factors of 10100 − 1 is: 3, 3, 11, 41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801, 18 2521213001, 1410 3673319201, 7887 5943472201 and 168058 8011350901.

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

  1. 1485 9267325442 7511800000 0148592673 2544275118 0000001485 9267325442 7511800000 0148592673 2544275119 (Phil Carmody, k=53)
  2. 5650 1832674972 8924308439 0278890112 3346619196 0000005650 1832674972 8924308439 0278890112 3346619197 (Phil Carmody, k=26)
  3. 6205 4167951963 6203717131 5361577536 0933413830 0000006205 4167951963 6203717131 5361577536 0933413831 (Phil Carmody, k=5)
  4. 7128 0000007128 0000007128 0000007128 0000007128 0000007128 0000007128 0000007128 0000007128 0000007129 (Phil Carmody, k=36)
  5. 9027 1506337268 4977346534 7437368528 7192196308 1188127839 0318218456 6165465346 6249249716 8380315121 (Phil Carmody, k=40)