From: Andreas Homrighausen <andreas.homrighausen@fernuni-hagen.de>
Subject: Re: Twin Primes
Date: Wed, 10 Feb 1999 13:13:54 +0100
Newsgroups: sci.math
Keywords: Brun's constant

Janus xPuN wrote:
> 
> Hey, what are some already proven theorems about twin primes?  I am devoting
> most my life to battling the Twin Primes Conjecture and I need as many theorems
> 
> in my arsenal as I can get.  any help wound be appreciated.  of course,
> anything about just normal primes would also be quite handy.  Thanks.

Hello all!

This is one of the most impressive theorem about twin primes:

The sum of the reciprocals of the twin primes is convergent.
B=(1/3+1/5)+(1/5+1/7)+... is called Brun's constant.

The sum of the reciprocals of primes is divergent.

Greetings,
Andreas