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[PrimeNumbers] private reply Re: Prime 19-tuplet

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  • Jens Kruse Andersen
    ... Perhaps it was not your intention but your private reply was sent to both me and the list: http://tech.groups.yahoo.com/group/primenumbers/message/22748
    Message 1 of 37 , Jun 1, 2011
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      Walter Nissen wrote:
      > Hi , Jens ,
      >
      >> the densest admissible 23-tuples have width 94 but
      >> cannot be inside a century.
      >
      > I hope you won't mind if I point out that "century" has
      > more than one common meaning .
      > Comet Halley always returns within a century .
      > During the century ended 1950 ...
      >
      > ( It's frustrating that some careless people think the
      > 21st-Century began immediately after 1999 .
      > )
      >
      > I wonder if you can point to a reliable source which
      > claims that , as mathematical jargon , a century must
      > end in a year divisible by 100 ?

      Perhaps it was not your intention but your "private reply" was sent to both me
      and the list: http://tech.groups.yahoo.com/group/primenumbers/message/22748
      I will therefore also reply to the list.

      I guess you have not followed the list closely the last couple of weeks.
      The context was clearly about a century ending in a year divisible by 100.
      It started with http://tech.groups.yahoo.com/group/primenumbers/message/22715
      where woodhodgson wrote:
      > Centuries refer to ranges [100X+1,100X+99]

      It was woodhodgson who brought up centuries again in the current thread:
      > 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.

      The other known 19-tuplets are not within such a century:
      http://anthony.d.forbes.googlepages.com/ktuplets.htm#largest19

      I agree that without context, a century might mean any interval of 100.

      --
      Jens Kruse Andersen
    • 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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