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arXiv · 2311.00002

The triangular numbers are finitely stable

Luan Alberto Ferreira
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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.

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Luan Alberto Ferreira. 2023-10-27. The triangular numbers are finitely stable. https://arxiv.org/abs/2311.00002

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