1994 AHSME Problem 21

Find the number of counter examples to the statement: ``\text{If N is an odd positive integer the sum of whose digits is 4 and none of whose digits is 0, then N is prime}." \textbf{(A)}\ 0 \qquad\textbf{(B)}\ 1 \qquad\textbf{(C)}\ 2 \qquad\textbf{(D)}\ 3 \qquad\textbf{(E)}\ 4

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.