Loading ...
Sorry, an error occurred while loading the content.

24023Re: prime_n^(1/n) – prime_(n+1)^(1/(n+1))

Expand Messages
  • John
    Feb 2, 2012
    • 0 Attachment
      I do not know why the extra characters were place in, but here it is again.

      a := sum ({n,1,k}, prime_n^(1/n) – prime_(n+1)^(1/(n+1))) , {n,1,k} means n=1 to k.
      For k <= 1,000,000, observe a < 1, and a-->1.

      What is the largest k tested? Does a >1 ever happen? What does this imply if it does or does not happen? Can this be proved?

      John W. Nicholson


      --- In primenumbers@yahoogroups.com, "John W. Nicholson" <reddwarf2956@...> wrote:
      >
      > a := sum ({n,1,k}, prime_n^(1/n) â€" prime_(n+1)^(1/(n+1))) ,  {n,1,k} means n=1 to k.
      > For k <= 1,000,000, observe a < 1, and a-->1.
      >
      >  
      > What is the largest k tested? Does a >1 ever happen? What does this imply if it does or does not happen? Can this be proved?
      >  
      > John W. Nicholson
      >
      > [Non-text portions of this message have been removed]
      >
    • Show all 4 messages in this topic