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a + b is a divisor of a^n + b^n , n even

Source: 2002 Romania JBMO TST 3.1

May 31, 2020
number theorydividesdivisibledivisorSum of powers

Problem Statement

Let nn be an even positive integer and let a,ba, b be two relatively prime positive integers. Find aa and bb such that a+ba + b is a divisor of an+bna^n + b^n.
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