# Values \$p\$, \$4p^2+1\$ and \$6p^2+1\$ are prime numbers. Determine \$p\$.

Values $$p$$, $$4p^2+1$$ and $$6p^2+1$$ are prime numbers. Determine $$p$$.

Quickly testing the first primes it’s clear that $$5$$ is a solution. However, how can I show that this is the only possible solution?