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Article #1243

Re: number theory question

#1243
From: bobs
Date: Mon, 28 Sep 1998 00:00
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In article <6uj62q$fi8$1@news-1.news.gte.net>,
  aardwolf@gte.net wrote:
> What can be said about the following propositions?
>
> 1)  Given d = 2,3,... , there exist primes p and q with p-q=2d , q+2
> composite .
>
> 2)  Given d = 1,2,..., there exist primes p and q with q-p=2d, q+2
> composite.
>
> Is either (1) or (2) a theorem, and if so, can you supply references?
> If not, can they be proved?

For each d, whether there exists primes p,q   such that p-q = 2d is an open,
unsolved problem.

Of course it is true.  We just have no proof.

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From: bobs@rsa.com
Subject: Re: number theory question
Date: 1998/09/28
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