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## Main Question or Discussion Point

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

- Thread starter K Sengupta
- Start date

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

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

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