Show that the sum of twin primes is divisible by 12, for all primes > 3.
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?
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All twin primes except (3, 5) are of the form . Twin Primes -- from Wolfram MathWorld
Can you use that?
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