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SIMON-MARAIS 2017 B2

  • Paper B

Determine all pairs (p,q)(p, q) of positive integers such that pp and qq are prime, and pq−1+qp−1p^{q-1} + q^{p-1} is the square of an integer.

Official text Simon Marais Mathematics Competition 2017 official paper, page 2. Quoted with source.

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