On Telhcirid's theorem on arithmetic progressions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911926294937600 |
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| author | Bhowmik, Gautami Suzuki, Yuta |
| author_facet | Bhowmik, Gautami Suzuki, Yuta |
| contents | In this paper, we study the distribution of the digital reverses of prime numbers, which we call the "reversed primes". We prove the infinitude of reversed primes in any arithmetic progression satisfying straightforward necessary conditions provided the base is sufficiently large. We indeed prove an effective Siegel--Walfisz type result for reversed primes, which has a larger admissible level of modulus than the classical case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13334 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Telhcirid's theorem on arithmetic progressions Bhowmik, Gautami Suzuki, Yuta Number Theory Primary: 11A63, Secondary: 11N05, 11N69 In this paper, we study the distribution of the digital reverses of prime numbers, which we call the "reversed primes". We prove the infinitude of reversed primes in any arithmetic progression satisfying straightforward necessary conditions provided the base is sufficiently large. We indeed prove an effective Siegel--Walfisz type result for reversed primes, which has a larger admissible level of modulus than the classical case. |
| title | On Telhcirid's theorem on arithmetic progressions |
| topic | Number Theory Primary: 11A63, Secondary: 11N05, 11N69 |
| url | https://arxiv.org/abs/2406.13334 |