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

  • Thread starter l-1j-cho
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  • #1
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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?
 

Answers and Replies

  • #2
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never mind. it might
be divisible by 3, 5, or 7
 
  • #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.
 
  • #4
mathwonk
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according to wiki the lower bound is now up to 9 distinct prime factors.
 

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