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Re: AP19 starting with 19

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  • mikeoakes2
    ... An amazing and highly nontrivial discovery - many congratulations! But don t rush to look for an AP23: heuristics in my NMBRTHRY post of 2001
    Message 1 of 6 , Feb 26, 2013
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      --- In primenumbers@yahoogroups.com, Jaroslaw Wroblewski <jaroslaw.wroblewski@...> wrote:
      >
      > Wojciech Izykowski has discovered AP19 with the smallest possible start of 19:
      >
      > 19 + 13234551541698967679 * 17# * n, n=0,...,18
      > (27 digits)
      >

      An amazing and highly nontrivial discovery - many congratulations!

      But don't rush to look for an AP23:
      heuristics in my NMBRTHRY post of 2001
      https://listserv.nodak.edu/cgi-bin/wa.exe?A2=ind0106&L=NMBRTHRY&F=&S=&P=3812
      indicate that a complete search would take many times the age of the Universe.

      Mike
    • Jens Kruse Andersen
      ... Congratulations to Wojciech! http://users.cybercity.dk/~dsl522332/math/aprecords.htm#minimalstart is updated with a mixed color entry to show that it has
      Message 2 of 6 , Feb 27, 2013
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        Jaroslaw Wroblewski wrote:
        > Wojciech Izykowski has discovered AP19 with the smallest possible start of
        > 19:
        >
        > 19 + 13234551541698967679 * 17# * n, n=0,...,18
        > (27 digits)
        >
        > At the moment it is not known whether the difference of the AP is the
        > smallest possible, but Wojciech is working to determine that.

        Congratulations to Wojciech!

        http://users.cybercity.dk/~dsl522332/math/aprecords.htm#minimalstart
        is updated with a mixed color entry to show that it has the smallest
        possible start but the difference may not be the smallest.

        --
        Jens Kruse Andersen
      • Jaroslaw Wroblewski
        Wojciech Izykowski has discovered AP19 with the smallest possible start of 19 and a smaller difference than in his first example: 19 + 4244193265542951705 *
        Message 3 of 6 , Apr 5, 2013
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          Wojciech Izykowski has discovered AP19 with the smallest possible
          start of 19 and a smaller difference than in his first example:

          19 + 4244193265542951705 * 17# * n, n=0,...,18
          (26 digits)

          He needs about a week to determine whether this difference is the
          smallest possible.

          Jarek

          2013/2/26 Jaroslaw Wroblewski <jwr@...>:
          > Wojciech Izykowski has discovered AP19 with the smallest possible start of 19:
          >
          > 19 + 13234551541698967679 * 17# * n, n=0,...,18
          > (27 digits)
          >
          > At the moment it is not known whether the difference of the AP is the
          > smallest possible, but Wojciech is working to determine that.
          >
          > Although Wojciech was using the ideas I have developed in the past, he
          > created brand new implementation of the search program on his own.
          >
          > Jarek
        • Jaroslaw Wroblewski
          ... Wojciech has completed his computations and confirmed that the above AP19 has the smallest possible diffrence among all AP19 starting with 19. Jarek
          Message 4 of 6 , Apr 10, 2013
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            2013/4/5 Jaroslaw Wroblewski <jwr@...>:
            > Wojciech Izykowski has discovered AP19 with the smallest possible
            > start of 19 and a smaller difference than in his first example:
            >
            > 19 + 4244193265542951705 * 17# * n, n=0,...,18
            > (26 digits)

            Wojciech has completed his computations and confirmed that the above
            AP19 has the smallest possible diffrence among all AP19 starting with
            19.

            Jarek
          • Jens Kruse Andersen
            ... Congratulations to Wojciech. http://users.cybercity.dk/~dsl522332/math/aprecords.htm#minimalstart is updated so the color is no longer red. It should also
            Message 5 of 6 , Apr 10, 2013
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              Jaroslaw Wroblewski wrote:
              >> 19 + 4244193265542951705 * 17# * n, n=0,...,18
              >
              > Wojciech has completed his computations and confirmed that the above
              > AP19 has the smallest possible diffrence among all AP19 starting with
              > 19.

              Congratulations to Wojciech.
              http://users.cybercity.dk/~dsl522332/math/aprecords.htm#minimalstart is
              updated so the color is no longer red.
              It should also be submitted to http://oeis.org/A061558

              --
              Jens Kruse Andersen
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