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AP19 small diff

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  • Jaroslaw Wroblewski
    Searching for AP19 with difference below 23# I got: 63734273908111 + 11*19#*n, n=0..18 Jarek
    Message 1 of 9 , Jan 2, 2007
      Searching for AP19 with difference below 23# I got:

      63734273908111 + 11*19#*n, n=0..18

      Jarek
    • David Broadhurst
      ... Jens recognizes 23*19# as a valid AP19 difference for simultaneous primes , but does /not/ recognize 11*19#. Szczesliwego Nowego Roku! David
      Message 2 of 9 , Jan 3, 2007
        --- In 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#.

        Szczesliwego Nowego Roku!

        David
      • Jaroslaw Wroblewski
        ... 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
        Message 3 of 9 , Jan 3, 2007
          > > 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.

          > Szczesliwego Nowego Roku!

          Dziekuje. And Happy New Year to you too.

          Jarek
        • Jens Kruse Andersen
          ... It wouldn t beat Jaroslaws s own 17-digit AP19 with recognized difference 29# anyway. His subject refers to
          Message 4 of 9 , Jan 3, 2007
            David Broadhurst wrote:
            > --- In 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#.

            It wouldn't beat Jaroslaws's own 17-digit AP19 with recognized
            difference 29# anyway. His subject refers to
            http://hjem.get2net.dk/jka/math/aprecords.htm#minimal
            where he beats this AP19 from 1992:
            2773814832407 + 155*19#*n, n=0..18
            The page will be updated later today.

            --
            Jens Kruse Andersen
          • Paul Underwood
            ... taste. ... difference, ... There are four I know of -- but I am asking Markus if he has any more: http://www.primepuzzles.net/puzzles/puzz_268.htm Paul
            Message 5 of 9 , Jan 3, 2007
              --- In 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

              Paul
            • 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 6 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 7 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 8 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 9 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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