Vinogradov's theorem for primes with restricted digits
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913631027855360 |
|---|---|
| author | Leng, James Sawhney, Mehtaab |
| author_facet | Leng, James Sawhney, Mehtaab |
| contents | Let $g$ be sufficiently large, $b\in\{0,\ldots,g-1\}$, and $\mathcal{S}_b$ be the set of integers with no digit equal to $b$ in their base $g$ expansion. We prove that every sufficiently large odd integer $N$ can be written as $p_1 + p_2 + p_3$ where $p_i$ are prime and $p_i\in \mathcal{S}_b$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06894 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vinogradov's theorem for primes with restricted digits Leng, James Sawhney, Mehtaab Number Theory Let $g$ be sufficiently large, $b\in\{0,\ldots,g-1\}$, and $\mathcal{S}_b$ be the set of integers with no digit equal to $b$ in their base $g$ expansion. We prove that every sufficiently large odd integer $N$ can be written as $p_1 + p_2 + p_3$ where $p_i$ are prime and $p_i\in \mathcal{S}_b$. |
| title | Vinogradov's theorem for primes with restricted digits |
| topic | Number Theory |
| url | https://arxiv.org/abs/2409.06894 |