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MathNet 2016-part-01 — 184 problems (EN–VI) Question 116

Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)

Question 116

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