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(a + b,a^n + b^n) for a,b coprime

Source: KJMO 2007 p2

May 2, 2019
number theorycoprimeleast common multiplepositive integer

Problem Statement

If nn is a positive integer and a,ba, b are relatively prime positive integers, calculate (a+b,an+bn)(a + b,a^n + b^n).
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