Primes and Polynomials With Restricted Digits-Reference-Cited by-同舟云学术

Primes and Polynomials With Restricted Digits

Published:2021-04-05 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Maynard James¹

Affiliation:

1. Mathematical Institute, Woodstock Road, Oxford, UK, OX2 6GG

Abstract

Abstract Let $q$ be a sufficiently large integer, and $a_0\in \{0,\dots ,q-1\}$. We show there are infinitely many prime numbers that do not have the digit $a_0$ in their base $q$ expansion. Similar results are obtained for values of a polynomial (satisfying the necessary local conditions) and if multiple digits are excluded.

Funder

Horizon 2020

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab002/41171138/rnab002.pdf

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