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OMK 2010

Source: Malaysia National Olympiad 2010 Muda Category Problem 9

June 4, 2011
Eulermodular arithmeticnumber theory unsolvednumber theory

Problem Statement

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