Known 77-digit prime factors of Googolplex - 1

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  3. Known 77-digit prime factors of Googolplex − 1

This is a list of known 77-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. 1080936 6553790914 2636542106 6578737831 2097111177 0813877228 6474704742 4316406251 (Dario Alpern, k=5481)
  2. 1221895 2178955078 1250000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=41)
  3. 1299057 5263350784 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=756151)
  4. 1421085 4715202003 7174224853 5156250000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  5. 1503229 5137643814 0869140625 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=4035201)
  6. 1561251 1283791263 8497073203 3252716064 4531250000 0000000000 0000000000 0000000001 (Phil Carmody, k=9)
  7. 1996461 1816406250 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=1635501)
  8. 2186049 0183442432 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=9941)
  9. 2684354 5600000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  10. 3362362 1238784000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=501031)
  11. 3747002 7081099033 2392975687 9806518554 6875000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  12. 4158020 0195312500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=109)
  13. 4432065 1124122628 3646276871 5613930702 0352724464 3737503793 0905818939 2089843751 (Dario Alpern, k=561831)
  14. 5326171 8750000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=2727)