# 2014 IMO Problems/Problem 1

## Problem

Let $a__0<a_1<a_2<\cdots \quad$ (Error compiling LaTeX. ! Missing { inserted.) be an infinite sequence of positive integers, Prove that there exists a unique integer such that

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Let $a__0<a_1<a_2<\cdots \quad$ (Error compiling LaTeX. ! Missing { inserted.) be an infinite sequence of positive integers, Prove that there exists a unique integer such that

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