Known 87-digit prime factors of Googolplex - 1

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  3. Known 87-digit prime factors of Googolplex − 1

This is a list of known 87-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 ≤ n ≤ 100.

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

  1. 1170144 5368217378 0180164612 8296852111 8164062500 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=421589)
  2. 1330468 7500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1703)
  3. 2200440 5764164403 0809402465 8203125000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=241941)
  4. 3139133 4400000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=76639)
  5. 3145728 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  6. 3309518 8480000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=201997)
  7. 4035314 3049287609 7559928894 0429687500 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=7099)
  8. 4910770 8036899566 6503906250 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=52729)
  9. 5390927 7042407666 1583967506 8855285644 5312500000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=1213929)
  10. 8777343 7500000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=2247)