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Re: [PrimeNumbers] Re: Prime 19-tuplet

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  • Tom Hadley
    On Tue, May 31, 2011 at 3:48 PM, Maximilian Hasler ... The first 25 primes do not make an admissible constellation. It is impossible to find that pattern
    Message 1 of 37 , May 31, 2011
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      On Tue, May 31, 2011 at 3:48 PM, Maximilian Hasler
      <maximilian.hasler@...> wrote:
      >
      >
      >
      > On Tue, May 31, 2011 at 2:57 PM, woodhodgson@...
      > <rupert.weather@...> wrote:
      > >
      > > The first 19-tuplet (I think), 630134041802574490482213901 +
      > > {0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76},
      > > gives one a "century" with (at least) 19 primes. Still a long way off from the
      > > possible century maximum of 23 in computational terms, I imagine.
      > >
      >
      > In the 1st century, you have 25 primes :
      >
      > 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61,
      > 67, 71, 73, 79, 83, 89, 97.
      >
      > For further information, see http://oeis.org/A186311
      >
      > Maximilian
      >

      The first 25 primes do not make an admissible constellation. It is
      impossible to find that pattern repeated anywhere else.

      Tom
    • Jens Kruse Andersen
      ... Congratulations! http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated. -- Jens Kruse Andersen
      Message 37 of 37 , Dec 31, 2012
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        Jaroslaw Wroblewski wrote:
        > Here is 5th known large prime 19-tuplet:
        >
        > 2406179998282157386567481191 + d,
        > d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76
        > (28 digits, Dec 2012, Raanan Chermoni & Jaroslaw Wroblewski)
        >
        > This sets new records for 18 and 19 Simultaneous Primes.

        Congratulations!
        http://users.cybercity.dk/~dsl522332/math/simultprime.htm is updated.

        --
        Jens Kruse Andersen
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