Displaying similar documents to “Diophantine representation of Mersenne and Fermat primes”

Short remark on Fibonacci-Wieferich primes

Jiří Klaška (2007)

Acta Mathematica Universitatis Ostraviensis

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This paper has been inspired by the endeavour of a large number of mathematicians to discover a Fibonacci-Wieferich prime. An exhaustive computer search has not been successful up to the present even though there exists a conjecture that there are infinitely many such primes. This conjecture is based on the assumption that the probability that a prime p is Fibonacci-Wieferich is equal to 1 / p . According to our computational results and some theoretical consideratons, another form of probability...