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sum(1/(p(i)*log(p(i))), i=1...infinity)=1.6366163233...

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  • David Broadhurst
    ... Steve Finch gives the value ... in http://tinyurl.com/9x29z2 David Broadhurst ... The Open University is incorporated by Royal Charter (RC 000391), an
    Message 1 of 4 , Jan 12, 2009
      --- In primenumbers@yahoogroups.com, "David Broadhurst"
      <d.broadhurst@...> wrote:

      > do the sum over primes p <= N explicitly and then use
      > the prime number theorem to estimate the residuum as 1/log(N)
      ...
      > 1.63661639

      Steve Finch gives the value

      > 1.6366163233...

      in http://tinyurl.com/9x29z2

      David Broadhurst
      ----------------------------------------------------------------
      The Open University is incorporated by Royal Charter (RC 000391),
      an exempt charity in England and Wales and
      a charity registered in Scotland (SC 038302).
    • Andrey Kulsha
      ... http://pi.lacim.uqam.ca/eng/table_en.html http://pi.lacim.uqam.ca/piDATA/plogp.txt ... Best, Andrey
      Message 2 of 4 , Jan 12, 2009
        > Perhaps Andrey Kulsha can provide a better estimate?

        http://pi.lacim.uqam.ca/eng/table_en.html
        http://pi.lacim.uqam.ca/piDATA/plogp.txt

        :-)

        Best,

        Andrey
      • Andrey Kulsha
        ... And http://www.research.att.com/~njas/sequences/A137245 of course. Best, Andrey
        Message 3 of 4 , Jan 12, 2009
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