Primes and polynomials with restricted digits
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....
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| Format: | Journal article |
| Language: | English |
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Oxford University Press
2021
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| _version_ | 1797107704816205824 |
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| author | Maynard, J |
| author_facet | Maynard, J |
| author_sort | Maynard, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T07:19:43Z |
| format | Journal article |
| id | oxford-uuid:548ac161-edb9-4b3c-9486-11cd64e8d4b9 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:19:43Z |
| publishDate | 2021 |
| publisher | Oxford University Press |
| record_format | dspace |
| spelling | oxford-uuid:548ac161-edb9-4b3c-9486-11cd64e8d4b92022-09-23T08:49:33ZPrimes and polynomials with restricted digitsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:548ac161-edb9-4b3c-9486-11cd64e8d4b9EnglishSymplectic ElementsOxford University Press2021Maynard, JLet 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. |
| spellingShingle | Maynard, J Primes and polynomials with restricted digits |
| title | Primes and polynomials with restricted digits |
| title_full | Primes and polynomials with restricted digits |
| title_fullStr | Primes and polynomials with restricted digits |
| title_full_unstemmed | Primes and polynomials with restricted digits |
| title_short | Primes and polynomials with restricted digits |
| title_sort | primes and polynomials with restricted digits |
| work_keys_str_mv | AT maynardj primesandpolynomialswithrestricteddigits |