Prime numbers and divisibility

  • Thread starter terafull
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  • #1
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Find all prime numbers [tex](p,q,r)[/tex], that numbers [tex]pq+pr+rq[/tex] and [tex]p^3+q^3+r^3-2pqr[/tex] are divided by [tex]p+q+r[/tex]
 

Answers and Replies

  • #2
CRGreathouse
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I'm seeing this problem asked a lot on the various math forums I frequent. Where does it come from?
 
  • #3
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Which forums (fora) are those, CR?

(See it this way: if you tell me I'll go pester somewhere else.) :P
 
  • #4
matt grime
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Doesn't looking at the problem just make you instantly think of cubing things?
 
  • #5
CRGreathouse
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