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Easy NT in ARO

Source: ARO 2021 11.1

April 20, 2021
number theory

Problem Statement

For some positive integer n>mn>m, it turns out that it is representable as sum of 20212021 non-negative integer powers of mm, and that it is representable as sum of 20212021 non-negative integer powers of m+1m+1. Find the maximal value of the positive integer mm.
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