2001 Cayley Problem 13

The sequences 3, 20, 37, 54, 71, \ldots and 16, 27, 38, 49, 60, 71, \ldots each have 71 as a common term. The next term that these sequences have in common is

\textbf{(A)}\ 115\quad \textbf{(B)}\ 187\quad \textbf{(C)}\ 258\quad \textbf{(D)}\ 445\quad \textbf{(E)}\ 1006

If there are no answer choices shown, enter a numerical answer.

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