FW RE primes in arithmetic progressions

[Tautócrona]

Jens K, Andersen,from the Prime Numbers List, answers to David's question:

----- Original Message ----- 
From: "Jens Kruse Andersen" <jens.k.a at get2net.dk>
To: "Prime Numbers" <primenumbers at yahoogroups.com>
Sent: Friday, January 27, 2006 9:33 PM
Subject: Re: [PrimeNumbers] FW primes in arithmetic progressions


David Wasserman wrote:

> I have made a conjecture that every prime p is the start of p primes  
> in arithmetic progression
> Does anyone have any ideas about proving or disproving this?  Does it  
> follow from a well-known conjecture?

It follows from Dickson's Conjecture:
http://primes.utm.edu/glossary/page.php?sort=DicksonsConjecture

The minimal progression for p<=17 is listed in 
http://hjem.get2net.dk/jka/math/aprecords.htm#minimalstart

Existence has not been proved for any larger p.
A general proof looks at least as hard as the infinitude of twin primes.

-- 
Jens Kruse Andersen



Unsubscribe by an email to: primenumbers-unsubscribe at yahoogroups.com
The Prime Pages : http://www.primepages.org/

 
Yahoo! Groups Links

<*> To visit your group on the web, go to:
    http://groups.yahoo.com/group/primenumbers/

<*> To unsubscribe from this group, send an email to:
    primenumbers-unsubscribe at yahoogroups.com

<*> Your use of Yahoo! Groups is subject to:
    http://docs.yahoo.com/info/terms/