A variant of the Euclid-Mullin sequence containing every prime

Andrew R Booker

A variant of the Euclid-Mullin sequence containing every prime

Andrew R Booker

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

We consider a generalization of Euclid's proof of the infinitude of primes and show that it leads to variants of the Euclid-Mullin sequence that provably contain every prime number.

Original language	English
Article number	4
Number of pages	6
Journal	Journal of Integer Sequences
Volume	19
Issue number	6
Early online date	30 Jun 2016
Publication status	Published - 4 Jul 2016

Keywords

math.NT

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via University of Waterloo at https://cs.uwaterloo.ca/journals/JIS/vol19.html. Please refer to any applicable terms of use of the publisher.
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https://cs.uwaterloo.ca/journals/JIS/VOL19/Booker/book3.pdf

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abstract = "We consider a generalization of Euclid's proof of the infinitude of primes and show that it leads to variants of the Euclid-Mullin sequence that provably contain every prime number.",

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JO - Journal of Integer Sequences

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A variant of the Euclid-Mullin sequence containing every prime

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