olymmath

BALTIC-WAY 2003 Problem 16

  • Answer

Find all pairs of positive integers (a,b)(a, b) such that a−ba-b is a prime and aba b is a perfect square.

Dataset text NuminaMath olympiads. Quoted with source.

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(a, b)=\left(\left(\frac{p+1}{2}\right)^{2},\left(\frac{p-1}{2}\right)^{2}\right)

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