Difference between revisions of "2007 IMO Shortlist Problems/N2"

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Latest revision as of 00:12, 22 June 2024

Let b, n > 1 be integers. Suppose that for each k > 1 there exists an integer a_{k} such that b − a^{n}_k is divisible by k. Prove that b = A^n for some integer A. (Canada)