On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$
General Mathematics
2025-06-17 v1
Abstract
In this paper, it is proved that there is an arithmetic progression of positive integers such that each of which is expressible neither as nor as , where are primes, denotes the -th Fibonacci number and denotes the -th Lucas number.
Keywords
Cite
@article{arxiv.2506.12047,
title = {On arithmetic progressions of positive integers avoiding $p+F_m$ and $q+L_n$},
author = {Rui-Jing Wang},
journal= {arXiv preprint arXiv:2506.12047},
year = {2025}
}