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Bundeswettbewerb Mathematik 1976 Problem 2.1

Source: Bundeswettbewerb Mathematik 1976 Second round

September 11, 2022
number theoryDivisibility

Problem Statement

Prove that if nn is an odd natural number, then 1n+2n+⋯+nn1^n +2^n +\cdots +n^n is divisible by n2n^2.
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