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A Divisibility Puzzle

  1. Jan 24, 2007 #1
    Determine all possible pairs of positive integers (m, n) for which (n^3 + 27)/(mn - 9) is an integer.
     
  2. jcsd
  3. Jan 24, 2007 #2
    An easy hint is to look at it mod 9 to start with.
     
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