The triangular numbers are finitely stable
Number Theory
2023-11-02 v1
Abstract
This small note proves that the set of triangular numbers is a finitely stable additive basis. This, together with a previous result by the author, shows that triangular numbers and squares are, among all polygonal numbers, the only ones that are finitely stable additive bases.
Cite
@article{arxiv.2311.00002,
title = {The triangular numbers are finitely stable},
author = {Luan Alberto Ferreira},
journal= {arXiv preprint arXiv:2311.00002},
year = {2023}
}