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December 30th, 2007, 09:35 PM  #1 
Newbie Joined: Dec 2007 From: Brno, Czech Republic Posts: 15 Thanks: 0  Wieferich primes  searching on www.elmath.org
You can participate in the project Wieferich@home aimed at searching for Wieferich primes. Download free application on www.elmath.org. Wieferich primes satisfy 2^(pā1) ā” 1 (mod p^2) and only two Wieferich primes are known up to now: 1093 and 3511. 
January 4th, 2008, 12:06 AM  #2 
Senior Member Joined: Nov 2007 Posts: 258 Thanks: 0 
Dude there aren't any more  I checked. (j/k) 
January 14th, 2008, 10:25 PM  #3 
Newbie Joined: Dec 2007 From: Brno, Czech Republic Posts: 15 Thanks: 0 
Did You check it for all primes? Brilliant! 
January 15th, 2008, 04:57 AM  #4 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
So, tell us about the project  how do you find Wieferich primes, or more to the point, how do you quickly discard composite candidates? brunojoyal, you know that doesn't help... if the problem is outside of NP (well, really outside the ArthurMerlin protocol) then *your* infinite computational resources don't help *us* solve the problem, since we can't verify that your calculations are correct. 
January 15th, 2008, 05:32 AM  #5 
Newbie Joined: Dec 2007 From: Brno, Czech Republic Posts: 15 Thanks: 0 
Actually we prepare new version with a quick implementation of the sieve of Eratosthenes and our original modular exponentiation. A project is live and always open to good advice.

February 5th, 2008, 04:16 AM  #6 
Newbie Joined: Dec 2007 From: Brno, Czech Republic Posts: 15 Thanks: 0 
The notably increasing speed of searching and additional innovations are in Version 2. More than 200 users ā participate!

February 5th, 2008, 09:21 AM  #7  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Quote:
 

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