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INAMO 2019 Problem 01

Source: Indonesia Mathematical Olympiad (INAMO) 2019 Problem 01

July 2, 2019
number theoryprimes

Problem Statement

Given that nn and rr are positive integers. Suppose that 1+2+⋯+(n−1)=(n+1)+(n+2)+⋯+(n+r) 1 + 2 + \dots + (n - 1) = (n + 1) + (n + 2) + \dots + (n + r) Prove that nn is a composite number.
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