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An integer for which n(n+2013) is a square

Source: Pan African MO 2013 Q1

June 30, 2013
algebradifference of squaresspecial factorizationsnumber theory unsolvednumber theory

Problem Statement

A positive integer nn is such that n(n+2013)n(n+2013) is a perfect square. a) Show that nn cannot be prime. b) Find a value of nn such that n(n+2013)n(n+2013) is a perfect square.
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