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China Northern Mathematical Olympiad 2017, Problem 2

Source: China Northern Mathematical Olympiad 2017

July 29, 2017
Divisibilitynumber theory

Problem Statement

Prove that there exist infinitely many integers nn which satisfy 20172∣1n+2n+...+2017n2017^2 | 1^n + 2^n + ... + 2017^n.
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