New progress in searching for Wieferich primes without a positive result. Wieferich@Home carries on the searching process!
Certainly, Wieferich@Home ranges for searching for Wieferich primes are in unsearched area. Users can monitor this on http://elmath.org/index.php?id=statistics. Wieferich@Home project has also the periodic test testing independently very big numbers (up to 3500 bits) with periodic binary representation, see a conjecture on http://mathworld.wolfram.com/WieferichPrime.html. These numbers have a period i.e. binary digit string of the length of 24 bits at present.
We recall that everybody can participate in this project by running a free application on own computer (download on http://elmath.org/index.php?id=download); the solution can be important in number theory, maybe also in cryptography.
Author: Miroslav Kures