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Re: [PrimeNumbers] A mystery about the logarithmic integral function Li(x) ?

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  • Jud McCranie
    ... I use formula (6) and (7) at http://mathworld.wolfram.com/LogarithmicIntegral.html Note: according to that reference, li(x) is the logarithmic integral,
    Message 1 of 2 , Feb 12, 2005
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      At 11:27 AM 2/12/2005, Jean-Pierre Pratali wrote:

      >The logarithmic integral function Li(x)=Sum(dt/logt, x from 0 to x)
      >is central to the study of the distribution of primes in number
      >theory.
      >Who can tell me how the numeric tables for this function have been
      >established ?

      I use formula (6) and (7) at
      http://mathworld.wolfram.com/LogarithmicIntegral.html

      Note: according to that reference, li(x) is the logarithmic integral, Li(x)
      is the
      Polylogarithm.

      >I accidentally found a easiest meaning of computing EXACTLY Li(x)
      >for any value of x. I would eagerly know if my discovery is
      >fortuitous or banal.

      We would like to see it - that could be important.
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