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Half Year Public Launching Anniversary
Creation date: 2008-06-29, for elMath.org: Project Authors
Project authors congratulate the best member Egon2008_G1 (Czech Republic) and congratulate the best team AMD Users (International) on the first place in stats of Wieferich@Home.
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Wieferich@Home v.2.0 Creation date: 2008-02-04, for elMath.org: Jan Dobes
New version accelerates searching in complete and periodical test. Software makes use of totally new algorithms, which are very efficient for mathematical method: exponentiation and congruency. New units for complete test are 10x larger and in periodical test 1,5x larger.
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Near Wieferich primes Subject: Wieferich primes, Creation date: 2008-01-14, for elMath.org: Miroslav Kures
Let us express numbers (mod p2) in a form Z+Ap with both Z, A reduced (mod p). Wieferich primes are defined by 2p-1 ≡ 1 (mod p2), i.e. 2p-1=1+0p. Thus, for Wieferich primes...
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Wieferich primes and Mersenne primes Subject: Wieferich primes, Creation date: 2007-12-28, for elMath.org: Miroslav Kures
Let n ∈ N; Mersenne numbers are defined by Mn=2n−1. A binary expression of Mersenne numbers consists of units only. If Mn is a prime number, then n is a prime number. (The reverse implication need not hold.) ...
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The abc conjecture and non-Wieferich primes Subject: Wieferich primes, Creation date: 2007-12-20, for elMath.org: Miroslav Kures
The known Wieferich primes are 1093 and 3511. It is not known, if there exist finitely or infinitely many Wieferich primes; Even it is not known, if there exist finitely or infinitely many non-Wieferich primes. However, we have a result allied to so-called abc-conjecture, which can be formulated for positive integers a,b,c as follows.
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Find a third Wieferich prime Subject: Wieferich primes, Creation date: 2007-12-18, for elMath.org: Miroslav Kures
Arthur Wieferich was born on 27th April 1884 in Münster, Germany. He had published five original papers, four of them (written in 1908 and 1909) turn out to be important for a development in the number theory. In the paper Zum letzten Fermat'schen Theorem, he demonstrates a relation between described primes and the most famous mathematical question (answered by Andrew Wiles, on June 23, 1993), Last Fermat Theorem.
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