### On generalized elite primes.

Müller, Tom, Reinhart, Andreas (2008)

Journal of Integer Sequences [electronic only]

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Müller, Tom, Reinhart, Andreas (2008)

Journal of Integer Sequences [electronic only]

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Müller, Tom (2007)

Journal of Integer Sequences [electronic only]

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Stanislav Jakubec (2003)

Mathematica Slovaca

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Klove, Torleiv (1976)

Portugaliae mathematica

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Stuart Clary, Jacek Fabrykowski (2004)

Czechoslovak Mathematical Journal

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In this paper we establish the distribution of prime numbers in a given arithmetic progression $p\equiv l\phantom{\rule{4.44443pt}{0ex}}\left(mod\phantom{\rule{0.277778em}{0ex}}k\right)$ for which $ap+b$ is squarefree.

J. Wójcik (1969)

Acta Arithmetica

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Kiss, Elemér, Sándor, József (2004)

Mathematica Pannonica

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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...