1997 Fermat Problem 18

Given A=\{1, 2, 3, 5, 8, 13, 21, 34, 55\}, how many of the numbers between 3 and 89 cannot be written as the sum of two elements of the set?

\textbf{(A)}\ 43\quad \textbf{(B)}\ 36\quad \textbf{(C)}\ 34\quad \textbf{(D)}\ 55\quad \textbf{(E)}\ 51

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