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Re: Puzzle: Sphenic chain by factor concatenation

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  • djbroadhurst
    ... Congrats! I m now in the low 90s, but do not expect to make it to length 100. David
    Message 1 of 16 , Jun 15, 2011
      --- In primenumbers@yahoogroups.com,
      Kevin Acres <research@...> wrote:

      > {sphen84a = [114,
      > 3, 6, 6, 3, 2, 2, 4, 4, 3, 4, 3, 6, 2, 2, 1, 1, 3, 4, 2, 6,
      > 6, 4, 2, 6, 2, 2, 4, 4, 3, 2, 1, 3, 5, 6, 2, 4, 5, 5, 1, 4,
      > 6, 4, 6, 4, 5, 1, 3, 1, 1, 1, 4, 1, 1, 4, 3, 4, 2, 3, 4, 2,
      > 3, 2, 1, 5, 4, 5, 6, 3, 5, 6, 3, 5, 6, 6, 3, 4, 4, 2, 4, 4,
      > 4, 3, 4];}
      >
      > {sphen84b = [114,
      > 3, 6, 6, 3, 2, 2, 4, 4, 3, 4, 3, 6, 2, 2, 1, 1, 3, 4, 2, 6,
      > 6, 4, 2, 6, 2, 2, 4, 4, 3, 2, 1, 3, 5, 6, 2, 4, 5, 5, 1, 4,
      > 6, 4, 6, 4, 5, 1, 3, 1, 1, 1, 4, 1, 1, 4, 3, 4, 2, 3, 4, 2,
      > 3, 2, 1, 5, 4, 5, 6, 3, 5, 6, 3, 5, 6, 6, 3, 4, 4, 2, 4, 4,
      > 4, 3, 3];}

      Congrats!

      I'm now in the low 90s, but do not expect to make it to length 100.

      David
    • djbroadhurst
      ... In fact, I was able to reach length 105: {sphen105 = [114, 3, 6, 6, 3, 2, 2, 4, 4, 3, 4, 1, 6, 1, 4, 1, 3, 2, 3, 2, 6, 1, 6, 3, 5, 5, 6, 2, 1, 6, 6, 6, 1,
      Message 2 of 16 , Jun 15, 2011
        --- In primenumbers@yahoogroups.com,
        "djbroadhurst" <d.broadhurst@...> wrote:

        > do not expect to make it to length 100

        In fact, I was able to reach length 105:

        {sphen105 = [114,
        3, 6, 6, 3, 2, 2, 4, 4, 3, 4, 1, 6, 1, 4, 1, 3, 2, 3, 2, 6,
        1, 6, 3, 5, 5, 6, 2, 1, 6, 6, 6, 1, 2, 5, 4, 3, 5, 2, 5, 2,
        4, 1, 5, 1, 6, 5, 3, 3, 5, 5, 2, 1, 5, 5, 1, 6, 4, 5, 5, 3,
        5, 2, 4, 4, 4, 3, 4, 5, 6, 4, 6, 3, 6, 4, 2, 4, 5, 2, 6, 1,
        1, 4, 6, 1, 6, 1, 2, 3, 2, 4, 6, 3, 3, 1, 6, 3, 3, 3, 1, 3,
        1, 5, 3, 1];}

        http://physics.open.ac.uk/~dbroadhu/cert/sphen105.gp
        contains 8 helpers, obtained by ECM, and then the chain of
        http://physics.open.ac.uk/~dbroadhu/cert/sphen105.txt
        is generated in less than 4 minutes.

        David
      • djbroadhurst
        ... The best I can do at present is length 108: {sphen108 = [114, 3, 6, 6, 3, 2, 2, 4, 4, 3, 4, 1, 6, 1, 4, 1, 3, 2, 3, 2, 6, 1, 6, 3, 5, 5, 6, 2, 1, 6, 6, 6,
        Message 3 of 16 , Jun 16, 2011
          --- In primenumbers@yahoogroups.com,
          "djbroadhurst" <d.broadhurst@...> wrote:

          > able to reach length 105

          The best I can do at present is length 108:

          {sphen108 = [114,
          3, 6, 6, 3, 2, 2, 4, 4, 3, 4, 1, 6, 1, 4, 1, 3, 2, 3, 2, 6,
          1, 6, 3, 5, 5, 6, 2, 1, 6, 6, 6, 1, 2, 5, 4, 3, 5, 2, 5, 2,
          4, 1, 5, 1, 6, 5, 3, 3, 5, 5, 2, 1, 5, 5, 1, 6, 4, 5, 5, 3,
          5, 2, 4, 4, 4, 3, 4, 5, 6, 4, 6, 3, 6, 4, 2, 4, 5, 2, 6, 1,
          1, 4, 6, 1, 6, 1, 2, 3, 2, 4, 6, 3, 3, 1, 6, 3, 3, 3, 1, 3,
          5, 1, 4, 5, 2, 5, 2];}

          with input and output in
          http://physics.open.ac.uk/~dbroadhu/cert/sphen108.gp
          http://physics.open.ac.uk/~dbroadhu/cert/sphen108.txt

          David
        • djbroadhurst
          ... Length 109 is achieved by {sphen109 = [114, 3, 6, 6, 3, 2, 2, 4, 4, 3, 4, 1, 6, 1, 4, 1, 3, 2, 3, 2, 6, 1, 6, 3, 5, 5, 6, 2, 1, 6, 6, 6, 1, 2, 5, 4, 3, 5,
          Message 4 of 16 , Jun 20, 2011
            --- In primenumbers@yahoogroups.com,
            "djbroadhurst" <d.broadhurst@...> wrote:

            > The best I can do at present is length 108

            Length 109 is achieved by

            {sphen109 = [114,
            3, 6, 6, 3, 2, 2, 4, 4, 3, 4, 1, 6, 1, 4, 1, 3, 2, 3, 2, 6,
            1, 6, 3, 5, 5, 6, 2, 1, 6, 6, 6, 1, 2, 5, 4, 3, 5, 2, 5, 2,
            4, 1, 5, 1, 6, 5, 3, 3, 5, 5, 2, 1, 5, 5, 1, 6, 4, 5, 5, 3,
            5, 2, 4, 4, 4, 3, 4, 5, 6, 4, 6, 5, 6, 2, 1, 1, 6, 6, 5, 6,
            6, 4, 6, 6, 2, 4, 4, 6, 6, 2, 5, 3, 1, 2, 2, 1, 2, 2, 4, 3,
            1, 4, 3, 1, 2, 5, 3, 5];}

            with input and output in
            http://physics.open.ac.uk/~dbroadhu/cert/sphen109.gp
            http://physics.open.ac.uk/~dbroadhu/cert/sphen109.txt

            David
          • Kevin Acres
            Hi David, ... Well done for that. Its been windy here and wind = power outage where I live :-) One day I ll get a decent size UPS. Best Regards, Kevin.
            Message 5 of 16 , Jun 20, 2011
              Hi David,

              At 02:20 PM 21/06/2011, djbroadhurst wrote:

              >--- In primenumbers@yahoogroups.com,
              >"djbroadhurst" <d.broadhurst@...> wrote:
              >
              > > The best I can do at present is length 108
              >
              >Length 109 is achieved by
              >
              > {sphen109 = [114,
              > 3, 6, 6, 3, 2, 2, 4, 4, 3, 4, 1, 6, 1, 4, 1, 3, 2, 3, 2, 6,
              > 1, 6, 3, 5, 5, 6, 2, 1, 6, 6, 6, 1, 2, 5, 4, 3, 5, 2, 5, 2,
              > 4, 1, 5, 1, 6, 5, 3, 3, 5, 5, 2, 1, 5, 5, 1, 6, 4, 5, 5, 3,
              > 5, 2, 4, 4, 4, 3, 4, 5, 6, 4, 6, 5, 6, 2, 1, 1, 6, 6, 5, 6,
              > 6, 4, 6, 6, 2, 4, 4, 6, 6, 2, 5, 3, 1, 2, 2, 1, 2, 2, 4, 3,
              > 1, 4, 3, 1, 2, 5, 3, 5];}

              Well done for that. Its been windy here and "wind = power outage"
              where I live :-)

              One day I'll get a decent size UPS.


              Best Regards,

              Kevin.
            • djbroadhurst
              ... The current record is length 112, achieved by {sphen112a = [114, 3, 6, 6, 3, 2, 2, 1, 3, 3, 2, 2, 1, 5, 2, 3, 2, 1, 6, 4, 4, 2, 4, 4, 2, 5, 4, 2, 3, 4, 2,
              Message 6 of 16 , Jun 23, 2011
                --- In primenumbers@yahoogroups.com,
                Kevin Acres <research@...> wrote:

                > > {sphen109 = [114,
                ....
                > Well done for that. Its been windy here and "wind = power outage"
                > where I live :-)

                The current record is length 112, achieved by

                {sphen112a = [114,
                3, 6, 6, 3, 2, 2, 1, 3, 3, 2, 2, 1, 5, 2, 3, 2, 1, 6, 4, 4,
                2, 4, 4, 2, 5, 4, 2, 3, 4, 2, 1, 3, 3, 6, 5, 4, 3, 1, 5, 4,
                2, 5, 1, 1, 3, 4, 5, 5, 5, 5, 6, 3, 6, 1, 6, 1, 4, 3, 1, 6,
                4, 6, 3, 1, 3, 2, 1, 2, 2, 6, 3, 2, 3, 5, 4, 6, 6, 5, 2, 2,
                2, 3, 4, 6, 5, 2, 3, 3, 2, 6, 5, 1, 2, 6, 1, 4, 3, 5, 3, 3,
                3, 4, 1, 4, 2, 2, 1, 2, 6, 3, 2];}

                {sphen112b = [114,
                3, 6, 6, 3, 2, 2, 1, 3, 3, 2, 2, 1, 5, 2, 3, 2, 1, 6, 4, 4,
                2, 4, 4, 2, 5, 4, 2, 3, 4, 2, 1, 3, 3, 6, 5, 4, 3, 1, 5, 4,
                2, 5, 1, 1, 3, 4, 5, 5, 5, 5, 6, 3, 6, 1, 6, 1, 4, 3, 1, 6,
                4, 6, 3, 1, 3, 2, 1, 2, 2, 6, 3, 2, 3, 5, 4, 6, 6, 5, 2, 2,
                2, 3, 4, 6, 5, 2, 3, 3, 2, 6, 5, 1, 2, 6, 1, 4, 3, 2, 3, 3,
                4, 2, 2, 3, 2, 2, 1, 4, 5, 1, 1];}

                with input and output in
                http://physics.open.ac.uk/~dbroadhu/cert/sphen112.gp
                http://physics.open.ac.uk/~dbroadhu/cert/sphen112.txt

                David
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