perplexus.info :: Just Math : (q<sup>2</sup> + 1)/(pq -1) = Integer

(q² + 1)/(pq -1) = Integer (Posted on 2009-12-25)

Find all possible pairs (p, q) of positive integers, with p ≤ q, such that (q² + 1)/(pq - 1) is an integer.

See The Solution Submitted by K Sengupta

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