olymmath

OSN 2019 Problem 1

    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.

    Dataset text AI-MO AoPS. Quoted with source.

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