A Divisibility Puzzle

  • Thread starter K Sengupta
  • Start date
110
0

Main Question or Discussion Point

Determine all possible pairs of positive integers (m, n) for which (n^3 + 27)/(mn - 9) is an integer.
 

Answers and Replies

277
0
An easy hint is to look at it mod 9 to start with.
 

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