olymmath

ISL 2017 N5

  • Answer

Find all pairs (p,q)(p, q) of prime numbers with p>qp>q for which the number (p+q)p+q(p−q)p−q−1(p+q)p−q(p−q)p+q−1\frac{(p+q)^{p+q}(p-q)^{p-q}-1}{(p+q)^{p-q}(p-q)^{p+q}-1} is an integer.

Dataset text NuminaMath olympiads. Quoted with source.

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(3,2)

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