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2002 AMC 10BProblem 15P11-15~3 minPrint
PrimesModular ArithmeticUse an invariant, parity, or coloring argumentTest small/specific values or special cases to find or verify the answer

The positive integers A,B,A−B,A, B, A-B, and A+BA+B are all prime numbers. The sum of these four primes is

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2002 12B #11.