, 2015

You are asked to choose two positive integers, $m$ and $n$ with $m > n$, so that as many as possible of the expressions $m + n$, $m - n$, $m \times n$ and $m \div n$ have values that are prime. When you do this correctly, how many of these four expressions have values that are prime?

(A) $0$ (B) $1$ (C) $2$ (D) $3$ (E) $4$