Google Groups no longer supports new Usenet posts or subscriptions. Historical content remains viewable.
Dismiss

Primes in arithmetic progressions

8 views
Skip to first unread message

amzoti

unread,
Feb 7, 2012, 10:39:17 AM2/7/12
to
What is special about the 223,092,870 at numerical methods section of:
https://en.wikipedia.org/wiki/Green%E2%80%93Tao_theorem

Also see: http://users.cybercity.dk/~dsl522332/math/aprecords.htm



Bruce Stephens

unread,
Feb 7, 2012, 1:25:50 PM2/7/12
to
amzoti <amz...@gmail.com> writes:

> What is special about the 223,092,870 at numerical methods section of:
> https://en.wikipedia.org/wiki/Green%E2%80%93Tao_theorem

The web page says it's the product of the primes up to 23. That seems
special enough, surely?

amzoti

unread,
Feb 7, 2012, 3:45:49 PM2/7/12
to
So, why can't you take the product of primes, say to 100, and use that number?

amzoti

unread,
Feb 7, 2012, 3:49:13 PM2/7/12
to
Another example, why not something like:

François Arnault number, a strong pseudoprime to all prime bases less than 200?

Robert Wessel

unread,
Feb 7, 2012, 4:47:00 PM2/7/12
to
On Tue, 7 Feb 2012 12:45:49 -0800 (PST), amzoti <amz...@gmail.com>
wrote:

>So, why can't you take the product of primes, say to 100, and use that number?


Because there are only a handful of primes of even approximately the
size desired that can be formed from that pattern. And we'd all know
what they were, so factoring the product of two such primes becomes
trivial.
0 new messages