2011 AMC8 Problem 24

#1
In how many ways can 10001 be written as the sum of two primes?

\( \textbf{(A) }0\qquad\textbf{(B) }1\qquad\textbf{(C) }2\qquad\textbf{(D) }3\qquad\textbf{(E) }4 \)