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5 | 2^n + 3^m if it 5 | 2^n + 3^m 2009 Romania District VII p1

Source:

August 16, 2024
number theorydivides

Problem Statement

Let mm and nn be positive integers such that 55 divides 2n+3m2^n + 3^m. Prove that 55 divides 2m+3n2^m + 3^n.
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