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Math Help - Porve the sum of twin primes is divisible by 12

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    Porve the sum of twin primes is divisible by 12

    Show that the sum of twin primes is divisible by 12, for all primes > 3.

    Proof.

    Let p = 4k+1, then p+p+2 = 8k+4, so it is divisible by 4.

    Now, how do I get it to be divisible by 3?

    Thanks.
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    All twin primes except (3, 5) are of the form 6n\pm1.
    Twin Primes -- from Wolfram MathWorld
    Can you use that?
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