Question 49
Find all pairs $(n, p)$ of positive integers such that:
* $p$ is the smallest positive integer that is not a factor of $n$, and;
* $n$ is a factor of $3p^2 + 1$.
* $p$ is the smallest positive integer that is not a factor of $n$, and;
* $n$ is a factor of $3p^2 + 1$.