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2002 AMC 10B Question 15

AMC10 · 2002 AMC 10B

Question 15

The positive integers $A,$ $B,$ $A - B,$ and $A + B$ are all prime numbers. The sum of these four primes is
  1. even
  2. divisible by $3$
  3. divisible by $5$
  4. divisible by $7$
  5. prime