MathDB
Perfect Square

Source: IZO 1 Junior Problem 2

December 16, 2008
number theorygreatest common divisornumber theory proposed

Problem Statement

Let m,n m,n be integers such that 0≤m≤2n 0\le m\le 2n. Then prove that the number 2^{2n \plus{} 2} \plus{} 2^{m \plus{} 2} \plus{} 1 is perfect square iff m \equal{} n.
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