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Chisinau MO p7 1949-56 VIII-IX if n! not divisible by n + 1, then n+1 is prime

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March 15, 2021
factorialnumber theorydivisibleprimedivides

Problem Statement

Prove that if the product 1⋅2⋅...⋅n1\cdot 2\cdot ...\cdot n (n>3n> 3) is not divisible by n+1n + 1, then n+1n + 1 is prime.
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