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Prime numbers and divisibility

  1. Oct 15, 2007 #1
    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]
     
  2. jcsd
  3. Oct 16, 2007 #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?
     
  4. Oct 16, 2007 #3
    Which forums (fora) are those, CR?

    (See it this way: if you tell me I'll go pester somewhere else.) :P
     
  5. Oct 17, 2007 #4

    matt grime

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    Doesn't looking at the problem just make you instantly think of cubing things?
     
  6. Oct 17, 2007 #5

    CRGreathouse

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    I think I saw the problem, at the least, at
    http://www.mymathforum.com/
     
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