Primes between consecutive powers

被引：7
|
作者：
Cully-Hugill, Michaela [1 ]
机构：
[1] Univ New South Wales Canberra, Sch Sci, Canberra, Australia
来源：
JOURNAL OF NUMBER THEORY | 2023年 / 247卷
关键词：
Distribution of prime numbers; Explicit estimates; Prime number theorem; Riemann zeta-function; SHARPER BOUNDS; EXPLICIT; DENSITY; ZEROS;
D O I：
10.1016/j.jnt.2022.12.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper updates the explicit interval estimate for primes between consecutive powers. It is shown that there is least one prime between n(155) and (n + 1)(155) for all n >= 1. This result is in part obtained with a new explicit version of Goldston's 1983 estimate for the error in the truncated Riemann-von Mangoldt explicit formula. (c) 2023 Elsevier Inc. All rights reserved.
引用
收藏
页码：100 / 117
页数：18
相关论文
共 50 条
12345