olymmath

RMO 2023 K2

  • KV and JNV

Given a prime number pp such that 2p2p is equal to the sum of the squares of some four consecutive positive integers. Prove that p−7p-7 is divisible by 36.

Dataset text AI-MO AoPS. Quoted with source.

Official text: Indian Regional Mathematical Olympiad 2023 official paper, page 1.

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