On Mullin's second sequence of primes

AR Booker

doi:10.1515/integers-2012-0034

On Mullin's second sequence of primes

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

Abstract

We consider the second of Mullin's sequences of prime numbers related to Euclid's proof that there are infinitely many primes. We show in particular that it omits infinitely many primes, confirming a conjecture of Cox and van der Poorten.

Translated title of the contribution	On Mullin's second sequence of primes
Original language	English
Number of pages	8
Journal	Integers
DOIs	https://doi.org/10.1515/integers-2012-0034
Publication status	Published - 2012

Bibliographical note

Author of Publication Reviewed: AR Booker

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10.1515/integers-2012-0034

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Explicit number theory, automorphic forms and L-functions
Booker, A. R.
1/10/09 → 1/04/15
Project: Research

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title = "On Mullin's second sequence of primes",

abstract = "We consider the second of Mullin's sequences of prime numbers related to Euclid's proof that there are infinitely many primes. We show in particular that it omits infinitely many primes, confirming a conjecture of Cox and van der Poorten.",

author = "AR Booker",

note = "Author of Publication Reviewed: AR Booker",

year = "2012",

doi = "10.1515/integers-2012-0034",

language = "English",

journal = "Integers",

issn = "1867-0652",

publisher = "de Gruyter",

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AU - Booker, AR

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N2 - We consider the second of Mullin's sequences of prime numbers related to Euclid's proof that there are infinitely many primes. We show in particular that it omits infinitely many primes, confirming a conjecture of Cox and van der Poorten.

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DO - 10.1515/integers-2012-0034

M3 - Article (Academic Journal)

JO - Integers

JF - Integers

SN - 1867-0652

ER -

On Mullin's second sequence of primes

Abstract

Bibliographical note

Access to Document

Handle.net

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Projects

Explicit number theory, automorphic forms and L-functions

Cite this