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Finding all integers with a divisibility condition

Source: Germany 2020, Problem 4

June 22, 2020
number theorynumber theory proposedDivisibilityDivisors

Problem Statement

Determine all positive integers nn for which there exists a positive integer dd with the property that nn is divisible by dd and n2+d2n^2+d^2 is divisible by d2n+1d^2n+1.
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