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p^2 - 6 and p^2 + 6 are both prime numbers

Source: New Zealand MO 2020 Round 1 p4

September 20, 2021
primesnumber theoryprime numbers

Problem Statement

Determine all prime numbers pp such that p2āˆ’6p^2 - 6 and p2+6p^2 + 6 are both prime numbers.
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