RO-NMO 2007 Problem 74

Let $m,n$ be two natural numbers with $m > 1$ and $2^{2m + 1} - n^2\geq 0$ . Prove that: $2^{2m + 1} - n^2\geq 7 .$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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