## Re: Twin Primes the 30 Connection

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• ... Speaking of twin prime clumping, there are prime areas where all one sees are twins: (5,7) (11,13) (17,19) and (179,181) (191,193) (197,199) Here s a good
Message 1 of 2 , May 28, 2005
--- In primenumbers@yahoogroups.com, "Milton Brown" <miltbrown@e...>
wrote:
> Attached are some twin primes that differ by 30.
> Notice some clusters, like 10007 10037 10067
>
> [Non-text portions of this message have been removed]

Speaking of twin prime clumping, there are prime areas where all one
sees are twins:

(5,7) (11,13) (17,19)
and
(179,181) (191,193) (197,199)

Here's a good one:
(909287,909289) (909299,909301) (909317,909319) (909329,909331)
(909341,909343).

About twins separated by 30, I agree that they should indeed be more
abundant than twins separated by 6 or 12 or 18 or 24 or 36 or 48 or
etc.

However, occurences of twins separated by 210 should be more
common than twins separated by 30. If a crude heuristic serves well,
twins separated by 210 should be

(6/5) * (12/11) * (52/51) =~ 1.335
times as abundant as twins separated by 30.

Mark
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