Problem #862

 862 Two different prime numbers between $4$ and $18$ are chosen. When their sum is subtracted from their product, which of the following numbers could be obtained? $\textbf{(A)}\ 21 \qquad \textbf{(B)}\ 60 \qquad \textbf{(C)}\ 119 \qquad \textbf{(D)}\ 180 \qquad \textbf{(E)}\ 231$ This problem is copyrighted by the American Mathematics Competitions.
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