Divisibility of generalized Mersenne numbers
General Mathematics
2025-12-30 v1
Abstract
In this article, I present a theorem determining a criterion for divisibility of two generalized Mersenne numbers, which are repunits of the same length in base- and base-. In addition to the general proof, I present an alternative proof for a special case of the theorem.
Keywords
Cite
@article{arxiv.2512.22645,
title = {Divisibility of generalized Mersenne numbers},
author = {Alex Chan},
journal= {arXiv preprint arXiv:2512.22645},
year = {2025}
}
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6 pages