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Re: [PrimeNumbers] Re: consecutive twin primes

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  • Bouk de
    I am also confinced that such a chain is possible. It will be extremely rare though. You might want to check out: http://www.ltkz.demon.co.uk/ktuplets.htm A
    Message 1 of 4 , Jun 1, 2001
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      I am also confinced that such a chain is possible. It
      will be extremely rare though.

      You might want to check out:

      http://www.ltkz.demon.co.uk/ktuplets.htm

      A site which records record k-tuplet primes which is
      not unlike your search for consecutive twins.

      For example:

      2845372542509911868266807 + 0, 4, 10, 12, 16, 22, 24,
      30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 (25 digits,
      2000, Joerg Waldvogel & Peter Leikauf)

      is the record 18-tuplet.

      You haven't made it easy for yourself with 9
      consecutive twins though;-)

      Have you found lesser chains already? Say 3 or 4
      consecutive twins?

      Bouk.


      --- Andrey Kulsha <Andrey_601@...> wrote:
      > I think that such a chain exists. Heuristically
      > there are
      > infinite number of them.
      >
      > For example, numbers
      >
      > p+(0, 2, 12, 14, 30, 32, 42, 44, 72, 74, 78, 80,
      > 108, 110,
      > 120, 122, 150, 152)
      >
      > may be 18 consecutive primes infinitely many times
      > (heuristically).
      >
      > Andrey
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      > ���������, ����������
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      >
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      >
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    • Andrey Kulsha
      Hello! ... There are 7 chains of 8 consecutive twins below 10^13, found by Denis DeVries. This is a copy of his message sent on ... From: Denis DeVries
      Message 2 of 4 , Jun 1, 2001
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        Hello!

        Bouk de wrote:

        >Have you found lesser chains already? Say 3 or 4
        >consecutive twins?

        There are 7 chains of 8 consecutive twins below 10^13, found
        by Denis DeVries. This is a copy of his message sent on
        NMBRTHRY list:


        ----- Original Message -----
        From: Denis DeVries <ddevries2@...>
        To: <NMBRTHRY@...>
        Sent: Thursday, May 31, 2001 4:58 PM
        Subject: Twin Prime Groups


        > I've completed an exhaustive search of all primes through
        10^13 & found
        > seven sets of eight consecutive twin primes. There are no
        sets of nine
        > consecutive twins < 10^13.
        >
        > the seven "eight clusters" or "Octa-primes" are:
        >
        > 110 78197 32821 - 33063
        > 373 52832 49697 - 49963
        > 458 86461 46631 - 46813
        > 634 06985 79419 - 79619
        > 841 26497 48537 - 48689
        > 920 63598 43907 - 44179
        > 966 71456 61911 - 62129
        >
        > I'd be interested in hearing of the first discovery of a
        set of nine
        > consecutive twins.
        >
        > Denis DeVries
        > dhdevries@...
        ----------------------

        I guess that Jim Morton read this message and then asked our
        PrimeNumbers list about this problem (9 consecutive twins).

        Best wishes,

        Andrey
        ---------------------------------------------------
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