# Problem #957

 957 The positive integers $A, B, A-B,$ and $A+B$ are all prime numbers. The sum of these four primes is $\mathrm{(A)}\ \mathrm{even} \qquad\mathrm{(B)}\ \mathrm{divisible\ by\ }3 \qquad\mathrm{(C)}\ \mathrm{divisible\ by\ }5 \qquad\mathrm{(D)}\ \mathrm{divisible\ by\ }7 \qquad\mathrm{(E)}\ \mathrm{prime}$ This problem is copyrighted by the American Mathematics Competitions.
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