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• ## Re: [PrimeNumbers] Building Twin Primes II

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• 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@...>
> 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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• ... 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 2 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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