ON THE SUM OF A PRIME AND A FIBONACCI NUMBER-Reference-Cited by-同舟云学术

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ON THE SUM OF A PRIME AND A FIBONACCI NUMBER

Published:2010-11 Issue:07 Volume:06 Page:1669-1676
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

LEE K. S. ENOCH¹

Affiliation:

1. Department of Mathematics, Auburn University Montgomery, P. O. Box 244023, Montgomery AL 36124-4023, USA

Abstract

We show that the set of the numbers that are the sum of a prime and a Fibonacci number has positive lower asymptotic density.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042110003708

Reference13 articles.

1. Fibonacci and Lucas Numbers with Applications

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On integers of the form p+2k1r1+⋯+2ktrt;Journal of Number Theory;2024-05

2. On the sum of a Fibonacci number and a prime;International Journal of Number Theory;2022-10-15

3. The sum of a prime and a Fibonacci number;International Journal of Number Theory;2021-02-20

4. The moments of the logarithm of a G.C.D. related to Lucas sequences;Journal of Number Theory;2018-10

5. The density of numbersnhaving a prescribed G.C.D. with thenth Fibonacci number;Indagationes Mathematicae;2018-06

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