A large integer is a sum of two prime avoiding numbers
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910616887754752 |
|---|---|
| author | Radomskii, Artyom |
| author_facet | Radomskii, Artyom |
| contents | Let $f(n)=\min_{p} |n-p|$, where $p$ is a prime. We show that there is a positive constant $δ$ such that for any large integer $N$ there exist two positive integers $n_1$ and $n_2$ such that $N=n_1 + n_2$ and $f(n_i)\gg \ln N (\ln\ln N)^δ$, $i=1, 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_14939 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A large integer is a sum of two prime avoiding numbers Radomskii, Artyom Number Theory Let $f(n)=\min_{p} |n-p|$, where $p$ is a prime. We show that there is a positive constant $δ$ such that for any large integer $N$ there exist two positive integers $n_1$ and $n_2$ such that $N=n_1 + n_2$ and $f(n_i)\gg \ln N (\ln\ln N)^δ$, $i=1, 2$. |
| title | A large integer is a sum of two prime avoiding numbers |
| topic | Number Theory |
| url | https://arxiv.org/abs/2209.14939 |