olymmath

IMO 2010 Problem 3

  • Day 1

Find all functions g:N→Ng:\mathbb{N}\rightarrow\mathbb{N} such that (g(m)+n)(g(n)+m)\left(g(m)+n\right)\left(g(n)+m\right) is a perfect square for all m,n∈N.m,n\in\mathbb{N}. Proposed by Gabriel Carroll, USA

Dataset text AI-MO AoPS. Quoted with source.

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