Prove that every integer greater than 11 can be expressed as the sum of 2 composite numbers.
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Originally Posted by JCIR Prove that every integer greater than 11 can be expressed as the sum of 2 composite numbers. If is even: . If is odd: . EDIT: Mistake on the even part.
Last edited by ThePerfectHacker; Jul 9th 2008 at 04:54 PM.
How about if n is even:
I propose this solution: Write the number as one of the following: 3n + 4 3n + 6 3n + 8 (where n > 1). Hence 12 = 6 + 6 13 = 9 + 4 14 = 6 + 8 15 = 9 + 6 16 = 12 + 4 17 = 9 + 8 etc.
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