Some explicit results on the sum of a prime and an almost prime
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866916683943247872 |
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| author | Johnston, Daniel R. Starichkova, Valeriia V. |
| author_facet | Johnston, Daniel R. Starichkova, Valeriia V. |
| contents | Inspired by a classical result of Rényi, we prove that every even integer $N\geq 4$ can be written as the sum of a prime and a number with at most 395 prime factors. We also show, under assumption of the generalised Riemann hypothesis, that this result can be improved to 31 prime factors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_01229 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Some explicit results on the sum of a prime and an almost prime Johnston, Daniel R. Starichkova, Valeriia V. Number Theory 11P32, 11N36 (Primary) 11N13 (Secondary) Inspired by a classical result of Rényi, we prove that every even integer $N\geq 4$ can be written as the sum of a prime and a number with at most 395 prime factors. We also show, under assumption of the generalised Riemann hypothesis, that this result can be improved to 31 prime factors. |
| title | Some explicit results on the sum of a prime and an almost prime |
| topic | Number Theory 11P32, 11N36 (Primary) 11N13 (Secondary) |
| url | https://arxiv.org/abs/2208.01229 |