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maximal gap

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  • leavemsg1
    Hi, Prof. CC. maximal gap either above or below a number x: without proof, probably already known... just a my idea of a postulate, axiom, etc. concerning gaps
    Message 1 of 1 , Feb 20, 2007
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      Hi, Prof. CC.
      maximal gap either above or below a number x:
      without proof, probably already known...
      just a my idea of a postulate, axiom, etc. concerning gaps

      Ji(x) = Eta [sqrt(x)/(ln(x))^k] for k = 0 to floor(sqrt(lnx)))

      Best examples in the 'small' as you stated.
      I'm aware of the law of small numbers.

      x = 11; Ji(11) = sqrt(11)/1 + sqrt(11)/ln(11) = 4.699+/-;
      x = 127; Ji(127) = sqrt(127)/1 + sqrt(127)/ln(127) + sqrt(127)/(ln(127))
      ^2 = 14.07+/-;etc.

      Please provide me with a relatively small counter-example, < x = 10^316

      Best regards, Bill
      Anyway, I do think that your website is commendable.
      Remember,... I'm not saying qed... just exhibiting a formula
      For now, ...Je fermerai ma bouche.
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