# 1989 AJHSME Problems/Problem 16

## Problem

In how many ways can $47$ be written as the sum of two primes?

$\text{(A)}\ 0 \qquad \text{(B)}\ 1 \qquad \text{(C)}\ 2 \qquad \text{(D)}\ 3 \qquad \text{(E)}\ \text{more than 3}$

## Solution

For $47$ to be written as the sum of two integers, one must be odd and the other must be even. There is only one even prime, namely $2$, so one of the numbers must be $2$, making the other $45$.

However, $45$ is not prime, so there are no ways to write $47$ as the sum of two primes $\rightarrow \boxed{\text{A}}$.