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Re: Puzzle: Sphenic chain by factor concatenation

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  • 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 1 of 16 , Jun 16, 2011
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      --- 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 2 of 16 , Jun 20, 2011
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        --- 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 3 of 16 , Jun 20, 2011
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          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 4 of 16 , Jun 23, 2011
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            --- 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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