On the sum of a Fibonacci number and a prime

被引：2
|
作者：
Wang, Rui-Jing
Chen, Yong-Gao [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2023年 / 19卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Fibonacci numbers; Romanoff's theorem; primes; asymptotic density;
D O I：
10.1142/S1793042123500446
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that the set of integers which can be represented as the sum of a Fibonacci number and a prime in at least one and at most 37 ways has the lower asymptotic density at least 0.143.
引用
收藏
页码：873 / 889
页数：17
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