Pell and Pell-Lucas numbers as difference of two repdigits
Number Theory
2023-10-13 v1
Abstract
Let be the sequence of Pell numbers defined by , and for all and let be its companion sequence, the Pell-Lucas numbers defined by and for all . In this paper, we find all Pell and Pell-Lucas numbers which can be written as difference of two repdigits. It is shown that the largest Pell and Pell-Lucas numbers which can be written as difference of two repdigits are
Cite
@article{arxiv.2310.08422,
title = {Pell and Pell-Lucas numbers as difference of two repdigits},
author = {Bilizimbeye Edjeou and Bernadette Faye},
journal= {arXiv preprint arXiv:2310.08422},
year = {2023}
}
Comments
to appear in Afrika Matematika