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Sum of Four Primes

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February 27, 2008

Problem Statement

The positive integers A A, B B, A \minus{} B, and A \plus{} B are all prime numbers. The sum of these four primes is <spanclass=′latex−bold′>(A)</span> even<spanclass=′latex−bold′>(B)</span> divisible by 3<spanclass=′latex−bold′>(C)</span> divisible by 5<spanclass=′latex−bold′>(D)</span> divisible by 7<spanclass=′latex−bold′>(E)</span> prime <span class='latex-bold'>(A)</span>\ \text{even} \qquad <span class='latex-bold'>(B)</span>\ \text{divisible by }3 \qquad <span class='latex-bold'>(C)</span>\ \text{divisible by }5 \qquad <span class='latex-bold'>(D)</span>\ \text{divisible by }7 \\ <span class='latex-bold'>(E)</span>\ \text{prime}
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