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2

Part of 2009 Costa Rica - Final Round

Problems(1)

Costa Rican Math Olympiad 2009 Problem 2

Source:

11/27/2009
Prove that for that for every positive integer n n, the smallest integer that is greater than (\sqrt {3} \plus{} 1)^{2n} is divisible by 2^{n \plus{} 1}.
inductionnumber theory unsolvednumber theory