- 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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>

> - 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] - 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

Well, the first counterexample is k=23,

>+(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.

(701,703)

(707,709)

(719,721)

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