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Ramanujan and Goldbach

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  • John W. Nicholson
    The link below is for a search of OEIS: https://oeis.org/search?q=A173634%20&language=&n=10&start=0&fmt=long&sort=number   Note the graph graph of the second
    Message 1 of 2 , Jan 28, 2012
      The link below is for a search of OEIS:
      https://oeis.org/search?q=A173634%20&language=&n=10&start=0&fmt=long&sort=number

       
      Note the graph graph of the second sequence and how it differs from the Goldbach comet. (I think it is a small data set with 10^4.)

      Does anyone know if there is a theoretical connection between Goldbach and Legendre conjectures? What I mean is: if one assumes one, there is proof of the other? Has anyone tried? Or, maybe some other pair of famous conjectures.

      John W. Nicholson

      [Non-text portions of this message have been removed]
    • djbroadhurst
      ... Like Donovan Johnson, I am minded to conjecture, on heuristic grounds, that https://oeis.org/A173634 is indeed a finite sequence. It was good to see that
      Message 2 of 2 , Jan 29, 2012
        --- In primenumbers@yahoogroups.com,
        "John W. Nicholson" <reddwarf2956@...> wrote:

        > The link below is for a search of OEIS:
        > https://oeis.org/search?q=A173634

        Like Donovan Johnson, I am minded to conjecture,
        on heuristic grounds, that
        https://oeis.org/A173634
        is indeed a finite sequence.

        It was good to see that Steven Miller's students
        http://jointmathematicsmeetings.org/amsmtgs/2138_abstracts/1077-vj-1449.pdf
        helped to debug
        http://arxiv.org/pdf/1105.2249v2.pdf

        David
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