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Fw: [PrimeNumbers] Re: Conjecture--I mean Gerbicz

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  • James Merickel
    Sorry, I mis-stated your name as that of somebody in mathematical logic, Dr. or Mr. Gerbicz (& group). ... From: Robert Gerbicz
    Message 1 of 1 , Sep 16, 2012
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      Sorry, I mis-stated your name as that of somebody in mathematical logic, Dr. or Mr. Gerbicz (& group).

      --- On Sun, 9/16/12, Robert Gerbicz <robert.gerbicz@...> wrote:


      From: Robert Gerbicz <robert.gerbicz@...>
      Subject: [PrimeNumbers] Re: Conjecture
      To: primenumbers@yahoogroups.com
      Date: Sunday, September 16, 2012, 11:26 AM



       



      "The largest I have so far is 2^1997*3^135, with an exceptionally long
      wait."

      n=2^1742*3^4350 is a larger solution, the distribution of the digits: [241,
      251, 257, 269, 251, 257, 241, 281, 281, 271]

      And it is very likely that your conjecture is false, for e2,e3<N the
      expected number of solutions is at least c*N^2/log(N)^10, for c>0. Moreover
      it should be false even for the sequence of 2^e2.

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