number theory question

Article View: sci.math.num-analysis

Article #1242

Back to sci.math.num-analysis Previous Next

#1242

From: Paul Bruckman
Date: Sat, 26 Sep 1998 00:00

13 lines
1429 bytes

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?  And if the proofs are not known, has
anybody else thought of this problem (again, references are sought)?

Thank you in advance for your consideration.  Sincerely, Paul Bruckman

Technical Details

Message-ID: <6uj62q$fi8$1@news-1.news.gte.net>

Path: arc1-ca.pugleaf.net!unknown!not-for-mail

Show Full Headers

Complete Article Headers

X-Google-Language: ENGLISH,ASCII-7-bit
X-Google-Thread: 107079,ed0512127dd6c0a0,start
X-Google-Attributes: gid107079,public
X-Google-Thread: 109d8a,ed0512127dd6c0a0,start
X-Google-Attributes: gid109d8a,public
X-Google-Thread: 10d67e,ed0512127dd6c0a0,start
X-Google-Attributes: gid10d67e,public
X-Google-Thread: 10d29f,ed0512127dd6c0a0,start
X-Google-Attributes: gid10d29f,public
From: Paul Bruckman <aardwolf@gte.net>
Subject: number theory question
Date: 1998/09/26
Message-ID: <6uj62q$fi8$1@news-1.news.gte.net>
X-Deja-AN: 395128929
Content-Transfer-Encoding: 7bit
Approved: Daniel Grayson <dan@math.uiuc.edu>, moderator for sci.math.research
Organization: gte.net
X-Auth: D7149852459EC88049988491
Content-Type: text/plain; charset=us-ascii
Mime-Version: 1.0
Reply-To: aardwolf@gte.net
Newsgroups: sci.math.num-analysis,sci.math.research,sci.math,aus.mathematics
Originator: dan@orion.math.uiuc.edu