olymmath

ISL 2021 N1

  • Answer

Determine all integers n⩾1n \geqslant 1 for which there exists a pair of positive integers (a,b)(a, b) such that no cube of a prime divides a2+b+3a^{2}+b+3 and ab+3b+8a2+b+3=n\frac{a b+3 b+8}{a^{2}+b+3}=n

Dataset text NuminaMath olympiads. Quoted with source.

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