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Why an odd perfect number, if exists, is not divisble by 3?

  1. Jun 26, 2011 #1
    So a number of mathematicans showed that an odd perfect number is not divisble by either 3, 5,or 7. I tried really hard to find a proof for that, but I haven't succeeded to do so.
    Could anyone please help me to find a proof that an odd perfect nmber is not divisble by 3?
     
  2. jcsd
  3. Jun 26, 2011 #2
    never mind. it might
    be divisible by 3, 5, or 7
     
  4. Jun 26, 2011 #3

    mathwonk

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    the result i recall is that an odd perfect number has at least 7 prime factors. that result is some 40 years old, and due i believe to carl pomerance.
     
  5. Jun 27, 2011 #4

    mathwonk

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    according to wiki the lower bound is now up to 9 distinct prime factors.
     
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