Infinitude of palindromic almost-prime numbers
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913440821411840 |
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| author | Tuxanidy, Aleksandr Panario, Daniel |
| author_facet | Tuxanidy, Aleksandr Panario, Daniel |
| contents | It is proven that, in any given base, there are infinitely many palindromic numbers having at most six prime divisors, each relatively large. The work involves equidistribution estimates for the palindromes in residue classes to large moduli, offering upper bounds for moments and averages of certain products closely related to exponential sums over palindromes |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_16637 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Infinitude of palindromic almost-prime numbers Tuxanidy, Aleksandr Panario, Daniel Number Theory It is proven that, in any given base, there are infinitely many palindromic numbers having at most six prime divisors, each relatively large. The work involves equidistribution estimates for the palindromes in residue classes to large moduli, offering upper bounds for moments and averages of certain products closely related to exponential sums over palindromes |
| title | Infinitude of palindromic almost-prime numbers |
| topic | Number Theory |
| url | https://arxiv.org/abs/2307.16637 |