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Re: Prime Gap Conjecture - Re Goldbach Conjecture

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  • Bill Krys
    For example, what if different kinds of gaps have similar patterns (I know the use of the word pattern raises red flags when talking about anything prime) of
    Message 1 of 4 , Nov 20, 2011
      For example, what if different kinds of gaps have similar patterns (I know the use of the word "pattern" raises red flags when talking about anything prime) of unique Ns. See the following table:
       

      I      N1    N2    N3    N4    N5      N*      N**
      24     5       7     13     17      19      13        19
      25     6      12    18     22      X       12        22
      26     3       3     15     21      X       15        21
      27     4      10    14     16      20      14        20
      28     9      15    25      X       X     ?25?      25

       
      the gap from 24-28 has different Ns (N1, N2, ...), which would if using the N about 1/2 of I would produce the N* set of unique Ns. Or using the N, which is about = to I, then produces the N** set of unique Ns. this 24-28 gap runs from what I believe is 30 (=2*3*5 (the product of 1st 3 primes) - 2) to (30 - the next prime (7) - 2). Is the gap produced by next such gap = (210 (=2*3*5*7) - 2) to (210 - (11-2))? With 11 being the next prime. This formula produces a minimum gap size of the next prime - 2.
       



      Bill Krys


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