English

An exploration of very triangular numbers

History and Overview 2023-08-31 v2 Number Theory

Abstract

We present a collection of results concerning the location and distribution of very triangular numbers among triangular numbers, including the twin very triangular number theorem, the existence of arbitrarily long gaps between -- and an analog of Bertrand's postulate for -- very triangular numbers.

Keywords

Cite

@article{arxiv.2105.10354,
  title  = {An exploration of very triangular numbers},
  author = {Audrey Baumheckel and Tamás Forgács},
  journal= {arXiv preprint arXiv:2105.10354},
  year   = {2023}
}
R2 v1 2026-06-24T02:20:32.014Z