Known 34-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 34-digit prime factors of Googolplex − 1

This is a list of known 34-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. 1001 9115827200 0000000000 0000000001 (Dario Alpern, k=6115183)
  2. 1051 5000000000 0000000000 0000000001 (Phil Carmody, k=2103)
  3. 1115 1830285793 4248345600 0000000001 (Dario Alpern, k=1980963)
  4. 1215 4098501565 3808209920 0000000001 (Dario Alpern, k=5271)
  5. 1287 8417968750 0000000000 0000000001 (Phil Carmody, k=211)
  6. 1367 9451651282 0953088000 0000000001 (Dario Alpern, k=1943967)
  7. 1450 7109835375 5500964741 1200000001 (Phil Carmody, k=3)
  8. 1522 2351074218 7500000000 0000000001 (Dario Alpern, k=249403)
  9. 1546 1363341830 1614892366 8496384001 (Dario Alpern, k=639467)
  10. 1618 7392000000 0000000000 0000000001 (Phil Carmody, k=247)
  11. 1705 3025658242 4044609069 8242187501 (Phil Carmody, k=3)
  12. 1764 6700143814 0869140625 0000000001 (Dario Alpern, k=4737)
  13. 1966 0800000000 0000000000 0000000001 (Phil Carmody, k=3)
  14. 2089 6471686698 1800706048 0000000001 (Phil Carmody, k=177)
  15. 2292 1233539893 3691524290 9696000001 (Phil Carmody, k=237)
  16. 2441 4062500000 0000000000 0000000001 (Phil Carmody, k=1)
  17. 3128 8627200000 0000000000 0000000001 (Dario Alpern, k=305553)
  18. 3215 5701339425 3414400000 0000000001 (Phil Carmody, k=357)
  19. 3713 8201178561 4082469737 2672000001 (Phil Carmody, k=3)
  20. 4026 5318400000 0000000000 0000000001 (Phil Carmody, k=3)
  21. 4194 3040000000 0000000000 0000000001 (Phil Carmody, k=1)
  22. 4375 0000000000 0000000000 0000000001 (Phil Carmody, k=7)
  23. 4577 6367187500 0000000000 0000000001 (Phil Carmody, k=3)
  24. 4741 6438947840 0000000000 0000000001 (Phil Carmody, k=69)
  25. 5016 0934251031 0374172245 4583672833 (Dario Alpern, k=3957)
  26. 5798 2174907365 3368304435 2000000001 (Dario Alpern, k=157161)
  27. 5968 8457661354 8687360000 0000000001 (Dario Alpern, k=26507)
  28. 6040 6781801920 4628480000 0000000001 (Dario Alpern, k=13413)
  29. 6358 0600417697 1309188190 2014464001 (Phil Carmody, k=321)
  30. 6871 9476736000 0000000000 0000000001 (Phil Carmody, k=1)
  31. 9359 2706088960 0000000000 0000000001 (Dario Alpern, k=17433)