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Prove that a=0 - Iran 3rd round-Number Theory 2007

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July 28, 2010
number theory unsolvednumber theory

Problem Statement

a,b∈Za,b \in \mathbb Z and for every n∈N0n \in \mathbb{N}_0, the number 2na+b2^na+b is a perfect square. Prove that a=0a=0.
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