2012 AMC 8 Problem 18

What is the smallest positive integer that is neither prime nor square and that has no prime factor less than 50?

\textbf{(A)}\ 3127\qquad\textbf{(B)}\ 3133\qquad\textbf{(C)}\ 3137\qquad\textbf{(D)}\ 3139\qquad\textbf{(E)}\ 3149

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