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Re: Twin Primes the 30 Connection

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  • Mark Underwood
    ... 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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