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4p^2 + 1 and 6p^2 + 1 are also primes

Source: Polish MO Second Round 1965 p4

August 31, 2024
number theoryprimes

Problem Statement

Find all prime numbers p p such that 4p2+1 4p^2 + 1 and 6p2+1 6p^2 + 1 are also prime numbers.