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Re: [PrimeNumbers] A Random Walk around Powers of 10

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  • Ronny Edler
    ... This looks like a small numbers example of the error term in the distribution of x and y. I guess, it is more reasonable to assume that F(n) changes its
    Message 1 of 2 , May 18, 2007
      > Let 10^n+x be the smallest PRP(prime) past 10^n
      > let 10^n-y be the largest PRP (prime) before 10^n
      > Then f(n) = x-y and F(n) = sum f(m) for m = 1 to n
      > F(n) remains negative for after n = 2652
      > The conjecture is that it is always negative thereafter.

      This looks like a small numbers example of the error term
      in the distribution of x and y.

      I guess, it is more reasonable to assume that F(n) changes
      its sign infinitely often - similar to the behaviour of
      pi(x) - Li(x).

      Regards,
      Ronny
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