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Re: [PrimeNumbers] Building Twin Primes II

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  • Milton Brown
    Yes, obviously. And, you point is?
    Message 1 of 6 , Jun 8, 2005
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      Yes, obviously.

      And, you point is?


      > [Original Message]
      > From: Jud McCranie <j.mccranie@...>
      > To: <miltbrown@...>
      > Cc: primenumbers <primenumbers@yahoogroups.com>
      > Date: 6/8/2005 7:29:38 PM
      > Subject: Re: [PrimeNumbers] Building Twin Primes II
      >
      > At 06:04 PM 6/8/2005, Milton Brown wrote:
      > >All twin primes after (29,31) are built as 30*k + (11,13) or +(17,19) or
      > >+(29,31)
      >
      > Isn't that the same thing as saying that they are either 11 & 13, or 17 &
      > 19, or 29 & 31 mod 30?
      >
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    • andrew_j_walker
      You ve only tested for 8 prime values below, a lot more are needed before we can make assertions. Andrew ... +(17,19) or +(29,31)
      Message 2 of 6 , Jun 8, 2005
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        You've only tested for 8 prime values below, a lot more are needed before
        we can make assertions.

        Andrew
        --- In primenumbers@yahoogroups.com, "Milton Brown" <miltbrown@e...>
        wrote:
        > All twin primes after (29,31) are built as 30*k + (11,13) or
        +(17,19) or +(29,31)
        >
        > Attached is a table for k from 1 to 20 showing their construction.
        >
        > The assertion is that for every k which is prime, there is at least one
        > of the 3 additions which produces a twin prime.
        >
        > (30)k +(11,13) -------+(17,19) ------+(29,31)
        > =================================
        > 1 -------(41,31) --------(47,49x)------- (59,61)
        > 2p -----(71,73) --------(77x,79) -------(89,91x)
        > 3p ----(101,103) -----(107,109) -----(119x,121x)
        > 4 ------(131,133x) ----(137,139) -----(149,151)
        > 5p ----(161x,163) ----(167,169x) ----(179,181)
        >
        > 6 ------(191,193) ------(197,199) -----(209x,211)
        > 7p ----(221x,223) -----(227,229) ----(239,241)
        > 8 ------(251,253x) -----(257,259x) ---(269,271)
        > 9 ------(281,283) ------(287x,289x) --(299x,301x)
        > 10 ----(311,313) ------(317,319x) ----(329x,331)
        >
        > 11p --(341x,343x) ---(347,349) -----(359,361x)
        > 12 ----(371x,373) -----(377x,379) ---(389,391x)
        > 13p --(401,403x) -----(407x,409) ---(419,421)
        > 14 ----(431,433) -------(437x,439) ---(449,451x)
        > 15 ----(461,463) -------(467,469x) ---(479,481x)
        >
        > 16 ----(491,493x) ------(497x,499) --(509,511x)
        > 17p --(521,523) -------(527x,529x) -(539x,541)
        > 18 ----(551x,553x) ----(557,559x) ---(569,571)
        > 19 p -(581x,583x) -----(587,589x) --(599,601)
        > 20 ----(611x,613) ------(617,619) ----(627x,631)
        >
        >
        > Milton L. Brown
        >
        > [Non-text portions of this message have been removed]
      • Jud McCranie
        ... My point is - what is your point? Your observation says nothing new.
        Message 3 of 6 , Jun 8, 2005
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          At 01:07 AM 6/9/2005, Milton Brown wrote:
          >Yes, obviously.
          >
          >And, you point is?

          My point is - what is your point? Your observation says nothing new.
        • Jud McCranie
          ... Well, the first counterexample is k=23, (701,703) (707,709) (719,721) The next few counterexamples are 31, 37, 41, 61, 73, 83, 97.
          Message 4 of 6 , Jun 8, 2005
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            At 06:04 PM 6/8/2005, Milton Brown wrote:
            >All twin primes after (29,31) are built as 30*k + (11,13) or +(17,19) or
            >+(29,31)
            >
            >Attached is a table for k from 1 to 20 showing their construction.
            >
            >The assertion is that for every k which is prime, there is at least one
            >of the 3 additions which produces a twin prime.

            Well, the first counterexample is k=23,
            (701,703)
            (707,709)
            (719,721)

            The next few counterexamples are 31, 37, 41, 61, 73, 83, 97.
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