RO-NMO 2008 Problem 73

Let $p,q,r$ be 3 prime numbers such that $5\leq p <q<r$ . Knowing that $2p^2-r^2 \geq 49$ and $2q^2-r^2\leq 193$ , find $p,q,r$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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