Legendre Conjecture over Arithmetic Progressions
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910389711667200 |
|---|---|
| author | Carella, N. A. |
| author_facet | Carella, N. A. |
| contents | Let $1\leq a<q$ be a pair of small integers such that $\gcd(a,q)=1$ and let $x>1$ be a large number. This note discusses the existence of a short sequence of primes $p\equiv a\bmod q$ between two squares $x^2$ and $(x+1)^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19698 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Legendre Conjecture over Arithmetic Progressions Carella, N. A. General Mathematics Primary 11N05, Secondary 11N32 Let $1\leq a<q$ be a pair of small integers such that $\gcd(a,q)=1$ and let $x>1$ be a large number. This note discusses the existence of a short sequence of primes $p\equiv a\bmod q$ between two squares $x^2$ and $(x+1)^2$. |
| title | Legendre Conjecture over Arithmetic Progressions |
| topic | General Mathematics Primary 11N05, Secondary 11N32 |
| url | https://arxiv.org/abs/2403.19698 |