- Jarek wrote:
> This morning the first known AP25 has been discovered:

Huge congratulations!

>

> 6171054912832631 + 366384*23#*n, for n=0 to 24

> (Raanan Chermoni & Jaroslaw Wroblewski, May 17 2008)

>

> My contribution was the search program, while Raanan provided the

> computer power.

This is a very impressive and well deserved feat.

http://hjem.get2net.dk/jka/math/aprecords.htm is updated.

As the only known AP25 it gets 5 records: Longest known AP, largest

known AP25, and smallest known difference, start and end for an AP25.

Getting 5 records for one AP may sound like a lot but it's much more

than 5 times as hard as most of the other records.

--

Jens Kruse Andersen - Jens Kruse Andersen wrote:
> Huge congratulations!

I agree! Decided to change my 2006 banner notes about the last

> This is a very impressive and well deserved feat.

> http://hjem.get2net.dk/jka/math/aprecords.htm is updated.

Mersenne to this AP on my "main" page primes.utm.edu/

and primes.utm.edu/largest.html

> Getting 5 records for one AP may sound like a lot but it's

We know they exist with arbitrary length, but 25 seems a long

> much more than 5 times as hard as most of the other records.

way from infinity doesn't it?

CC - Chris Caldwell wrote:

> I agree! Decided to change my 2006 banner notes about the last

Nice. I see it's already in Prime Curios!:

> Mersenne to this AP on my "main" page primes.utm.edu/

> and primes.utm.edu/largest.html

http://primes.utm.edu/curios/page.php/6171054912832631.html

This can also be updated:

http://primes.utm.edu/glossary/page.php?sort=ArithmeticSequence

> We know they exist with arbitrary length, but 25 seems a long

Yes it does. I made a similar "but" when Jarek's earlier record was

> way from infinity doesn't it?

mentioned on Wikipedia's main page in 2007 with the text:

"Did you know...

...that existence of arbitrarily many primes in arithmetic progression was

proven in 2004, but it took 75 computers to find an example with 24 primes?"

It's archived at

http://en.wikipedia.org/w/index.php?title=Template:Did_you_know&oldid=138995374

(People are not supposed to know the "Did you know" facts)

I have updated http://en.wikipedia.org/wiki/Primes_in_arithmetic_progression

--

Jens Kruse Andersen