Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2411.09446 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912336227336192 |
|---|---|
| author | Dai, Tianhan Ding, Yuchen Wang, Hui |
| author_facet | Dai, Tianhan Ding, Yuchen Wang, Hui |
| contents | Let $2< a<b$ be two relatively prime integers and $g=ab-a-b$. It is proved that there exists at least one prime $p\le g$ of the form $p=ax+by~(x,y\in \mathbb{Z}_{\ge 0})$, which confirms a 2020 conjecture of Ram\'ırez Alfons\'ın and Skałba. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09446 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Note on a conjecture of Ram\'ırez Alfons\'ın and Skałba Dai, Tianhan Ding, Yuchen Wang, Hui Number Theory Let $2< a<b$ be two relatively prime integers and $g=ab-a-b$. It is proved that there exists at least one prime $p\le g$ of the form $p=ax+by~(x,y\in \mathbb{Z}_{\ge 0})$, which confirms a 2020 conjecture of Ram\'ırez Alfons\'ın and Skałba. |
| title | Note on a conjecture of Ram\'ırez Alfons\'ın and Skałba |
| topic | Number Theory |
| url | https://arxiv.org/abs/2411.09446 |