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the prime counting function

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  • Jeremy Wood
    Gauss-Legendre conjectured that the prime counting function of x is similar to x/ln(x). (Or more specifically that as x approaches infinity: pi(x)/(x/ln(x)) -
    Message 1 of 3 , Nov 3, 2005
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      Gauss-Legendre conjectured that the prime counting
      function of x is similar to x/ln(x).
      (Or more specifically that as x approaches infinity:
      pi(x)/(x/ln(x)) -> 1)

      Are there other functions in number theory that are
      similar to the function:
      y = x/ln(x)?

      Specifically I'm studying a phenomenon that appears to
      resemble:
      y = x/ln(x+c)

      - Jeremy
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