I don't see where the insight is. twin primes must be of the form (6k-1, 6k+1). ... | Hacker News

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		jjaredsimpson on July 17, 2012 \| parent \| context \| favorite \| on: Prime number patterns I don't see where the insight is. twin primes must be of the form (6k-1, 6k+1). So of course there will be a 2,3 at least. Smaller numbers have multiples that are more densely distributed among the integers.

Retric on July 18, 2012 [–]

The point is twin primes (6k-1, 6k+1) are more likely for a large k when k is a composite number than a prime AND the more factors of k the higher chance for twin primes.

EX: K = (6 * 2 * 3 * 5 * 7 * 11 * 13 ) gives a twin prime.

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