Peking University ACM Competition Title In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in which he made the following conjecture: Every even number greater than 4 can be written as the sum of two odd prime numbers. For example : 8 = 3+ 5. Both 3 and 5 are odd prime numbers. 20 = 3+ 17 = 7+ 13. 42 = 5+ 37 = 11+ 31 = 13+ 29 = 19+ 23 . Today it is still unproven whether the conjecture is right. (Oh wait, I have the proof of course, but it is too long to write it on the margin of this page.) Anyway, your task is now to verify Goldbach s conjecture for all even numbers less than a million.

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