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Re: AP19 small diff

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  • jarek372000
    ... Now I got even a smaller difference: 20736372344841161 + 5*19#*n, n=0..19 Note that this is an AP20. Thanks for the info about 4th AP23, Paul. Jarek
    Message 1 of 9 , Jan 3, 2007
      > 63734273908111 + 11*19#*n, n=0..18

      Now I got even a smaller difference:

      20736372344841161 + 5*19#*n, n=0..19

      Note that this is an AP20.

      Thanks for the info about 4th AP23, Paul.

      Jarek
    • David Broadhurst
      ... Impressive work, Jarek! I hope all your 74 machines have good cooling fans. Jak zyczyc ogolnie szczescia! David
      Message 2 of 9 , Jan 3, 2007
        --- In primeform@yahoogroups.com, "jarek372000" <jwr@...> wrote:

        > 20736372344841161 + 5*19#*n, n=0..19

        Impressive work, Jarek!

        I hope all your 74 machines have good cooling fans.

        Jak zyczyc ogolnie szczescia!

        David
      • Jens Kruse Andersen
        ... Congratulations! My page is updated. You keep me busy! -- Jens Kruse Andersen
        Message 3 of 9 , Jan 4, 2007
          Jarek wrote:
          > Now I got even a smaller difference:
          >
          > 20736372344841161 + 5*19#*n, n=0..19
          >
          > Note that this is an AP20.

          Congratulations!
          My page is updated. You keep me busy!

          --
          Jens Kruse Andersen
        • Markus Frind
          There is also this one I found last year 654737613204229 + 110135*23#*n n=0..22 Markus. ... [Non-text portions of this message have been removed]
          Message 4 of 9 , Jan 8, 2007
            There is also this one I found last year 654737613204229 +
            110135*23#*n n=0..22

            Markus.

            At 01:14 PM 1/3/2007, Paul Underwood wrote:

            >--- In
            ><mailto:primeform%40yahoogroups.com>primeform@yahoogroups.com,
            >Jaroslaw Wroblewski <jwr@...> wrote:
            > >
            > > > > 63734273908111 + 11*19#*n, n=0..18
            > > >
            > > > Jens recognizes 23*19# as a
            > > > "valid AP19 difference for simultaneous primes",
            > > > but does /not/ recognize 11*19#.
            > >
            > > Once Jens has decided to allow AP-k with predetermined difference as
            > > simultaneous primes and once he decided to allow a set of 3 valid
            > > differences, the choice he made seems more natural to me than,
            > > say, k#, 2*k# and 3*k#. But of course this is a matter of personal
            >taste.
            > >
            > > The above progression was meant to improve the smallest known
            >difference,
            > > which was at 155*19# until now.
            > >
            > > BTW, what is the complete list of known AP23? From Jens's website,
            > > including news section, I was able to trace 3 AP23's. Are there any
            > > more? Perhaps it would be a good idea to keep track of all known AP23,
            > > not only those best in one of the rankings.
            > >
            >
            >There are four I know of -- but I am asking Markus if he has any more:
            ><http://www.primepuzzles.net/puzzles/puzz_268.htm>http://www.primepuzzles.net/puzzles/puzz_268.htm
            >
            >Paul
            >
            >
            >


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