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n has a divisor d with the property that dn + 1 is a divisor of d^2 + n^2

Source: New Zealand NZMOC Camp Selection Problems 2015 p8

September 19, 2021
dividesdivisibledivisornumber theory

Problem Statement

Determine all positive integers nn which have a divisor dd with the property that dn+1dn + 1 is a divisor of d2+n2d^2 + n^2.
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