A note on the Cramér-Granville model
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910036374061056 |
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| author | Táfula, Christian |
| author_facet | Táfula, Christian |
| contents | We show the existence of a set $A\subseteq \mathbb{Z}_{\geq 2}$ satisfying the estimates of the Bateman--Horn conjecture, Goldbach's conjecture, and also
\[ \#\{p\leq x \text{ prime} ~|~ p\in A\} \gg x(\log\log x)/(\log x)^2. \] |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16557 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the Cramér-Granville model Táfula, Christian Number Theory 05D40, 11N32 We show the existence of a set $A\subseteq \mathbb{Z}_{\geq 2}$ satisfying the estimates of the Bateman--Horn conjecture, Goldbach's conjecture, and also \[ \#\{p\leq x \text{ prime} ~|~ p\in A\} \gg x(\log\log x)/(\log x)^2. \] |
| title | A note on the Cramér-Granville model |
| topic | Number Theory 05D40, 11N32 |
| url | https://arxiv.org/abs/2512.16557 |