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Re: Puzzle: Sphenic chain by factor concatenation

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  • 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 1 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 2 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 3 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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