Difference between revisions of "2002 AMC 10B Problems/Problem 15"
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Revision as of 00:54, 30 December 2008
Problem
The positive integers , , , and are all prime numbers. The sum of these four primes is
Solution
The sum is . Since , , and are all prime, they must all be odd, so . A quick check gives . Hence, the sum is , which is prime.