# Prove that every number $n \geq 12$ is the sum of two composite numbers [closed]

Prove that any natural number greater than or equal to 12 is the sum of two composite numbers.

## closed as off-topic by Servaes, Shaun, Alex Provost, dantopa, jgonMar 15 at 20:39

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Hint $n-8$ and $n-9$ cannot be both prime, if $n \geq 12$.
• I really thought that would enlight instantly. Maybe $n=(n-8)+8=(n-9)+9$ does. – MooS Mar 17 '15 at 5:49