Permutations And Combinations

Let $\mathrm{A}=\left[\mathrm{a}_{i j}\right], \mathrm{a}_{i j} \in \mathbb{Z} \cap[0,4], 1 \leq i, j \leq 2$.


The number of matrices A such that the sum of all entries is a prime number $\mathrm{p} \in(2,13)$ is __________.