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Random Walk II

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  • miltbrown@earthlink.net
    Patrick De Geest has pointed out that the sum remians negative even up to n = 6300, the limit of his data base. I also note that if you start at 10^10000+x,-y
    Message 1 of 1 , May 21, 2007
      Patrick De Geest has pointed out that the sum remians negative
      even up to n = 6300, the limit of his data base.

      I also note that if you start at 10^10000+x,-y to 10^10556+x,-y
      this interval adds-329,720 being negative at the end of this interval also.

      Milton L. Brown
      miltbrown AT earthlink.net


      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) is negative for values of n in the first set of brackets,
      and positive for values of n in the second set of brackets below.

      F(n) remains negative for after n = 2652

      [2653,*] where * at 4999 the sum is -653,126
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