AMC 8 2011 Problem 24

In how many ways can $10001$ be written as the sum of two primes? $\textbf{(A) }0 \textbf{(B) }1 \textbf{(C) }2 \textbf{(D) }3 \textbf{(E) }4$

Dataset text NuminaMath-1.5. Quoted with source.

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