Some facts about perfect numbers:

  • Even perfect numbers end in either six or eight.
  • Perfect numbers are even...so far.
  • There are infinitely many perfect numbers.
  • If there are odd perfect numbers, they at least are bigger than 10^300.

List of known perfect numbers:

  1. 6
  2. 28
  3. 496
  4. 8,128
  5. 33,550,336
  6. 8,589,869,056
  7. 137,438,691,328
  8. 2,305,843,008,139,952,128
  9. 2.658x10^36
  10. 1.916x10^53
  11. 1.316x10^64
  12. 1.447x10^76
  13. 2.356x10^313
  14. 1.411x10^365
  15. 5.416x10^769
  16. 1.089x10^1326
  17. 9.950x10^1372
  18. 3.357x10^1936
  19. 1.820x10^2560
  20. 4.077x10^2662
  21. 1.143x10^5833
  22. 6.000x10^5984
  23. 3.960x10^6750
  24. 9.311x10^12002
  25. 1.007x10^13065
  26. 8.115x10^13972
  27. 3.651x10^26789
  28. 1.441x10^51923
  29. 1.362x10^66529
  30. 1.315x10^79501
  31. 2.783x10^130099
  32. 1.516x10^455662
  33. 8.385x10^517429
  34. 8.497x10^757262
  35. 3.319x10^841841
  36. 1.943x10^1791863
  37. 8.117x10^1819049