Almost primes and primes that are sums of two squares plus one
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915174798065664 |
|---|---|
| author | Nath, Kunjakanan Xie, Likun |
| author_facet | Nath, Kunjakanan Xie, Likun |
| contents | In this paper, we obtain a lower bound for the number of primes $p\leq x$ such that $p-1$ is a sum of two squares and $p+2$ has a bounded number of prime factors. The proof uses the vector sieve framework, involving a semi-linear sieve and a linear sieve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16723 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Almost primes and primes that are sums of two squares plus one Nath, Kunjakanan Xie, Likun Number Theory 11N05, 11N35, 11N36 In this paper, we obtain a lower bound for the number of primes $p\leq x$ such that $p-1$ is a sum of two squares and $p+2$ has a bounded number of prime factors. The proof uses the vector sieve framework, involving a semi-linear sieve and a linear sieve. |
| title | Almost primes and primes that are sums of two squares plus one |
| topic | Number Theory 11N05, 11N35, 11N36 |
| url | https://arxiv.org/abs/2501.16723 |