Journal article
Primes and polynomials with restricted digits
- Abstract:
- Let q be a sufficiently large integer, and a0∈{0,…,q−1}. We show there are infinitely many prime numbers that do not have the digit a0 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 241.3KB, Terms of use)
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- Publisher copy:
- 10.1093/imrn/rnab002
Authors
- Publisher:
- Oxford University Press
- Journal:
- International Mathematics Research Notices More from this journal
- Volume:
- 2022
- Issue:
- 14
- Pages:
- 10626–10648
- Publication date:
- 2021-04-05
- Acceptance date:
- 2020-12-31
- DOI:
- EISSN:
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1687-0247
- ISSN:
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1073-7928
- Language:
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English
- Pubs id:
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1161187
- Local pid:
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pubs:1161187
- Deposit date:
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2021-02-12
Terms of use
- Copyright holder:
- James Maynard
- Copyright date:
- 2021
- Rights statement:
- © The Author(s) 2021. Published by Oxford University Press. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
- Licence:
- CC Attribution (CC BY)
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