Find an integral domain $D$ containing an irreducible element $p$ such that $D/\langle p \rangle$ is not a field.
I'm working on homework. I think I need to find p such that the ideal generated by $p$ is not maximal. So I think I need an integral domain which is not a PID. If $p$ did not have to be irreducible, I think I could use the ideal genrated by $x^2 \in \mathbb Z[x]$. Any suggestions?