Primes in Fibonacci -step and Lucas -step sequences.

Noe, Tony D.; Vos Post, Jonathan

Displaying similar documents to “Primes in Fibonacci $n$ -step and Lucas $n$ -step sequences.”

Gaps between primes in Beatty sequences

Roger C. Baker, Liangyi Zhao (2016)

Acta Arithmetica

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We study the gaps between primes in Beatty sequences following the methods in the recent breakthrough by Maynard (2015).

All elite primes up to 250 billion.

Chaumont, Alain, Müller, Tom (2006)

Journal of Integer Sequences [electronic only]

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Searching for large elite primes.

Müller, Tom (2006)

Experimental Mathematics

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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...