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n^2+n+1 divides n^2021 + 101

Source: Cyprus 2021Junior TST-3 Problem 1

May 19, 2021
Divisibilitynumber theory

Problem Statement

Find all positive integers nn, such that the number n2021+101n2+n+1 \frac{n^{2021}+101}{n^2+n+1} is an integer.
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