An Exploration of Very Triangular Numbers

Authors

  • Audrey Baumheckel California State University, Fresno
  • Tamás Forgács California State University, Fresno

DOI:

https://doi.org/10.46787/pump.v6i0.3853

Keywords:

triangular numbers; very triangular numbers; Hamming weight

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.

Author Biography

Audrey Baumheckel, California State University, Fresno

Deparmtent of Mathematics

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Published

2023-08-29

How to Cite

Baumheckel, A., & Forgács, T. (2023). An Exploration of Very Triangular Numbers. The PUMP Journal of Undergraduate Research, 6, 317–333. https://doi.org/10.46787/pump.v6i0.3853

Issue

Vol. 6 (2023): PUMP Journal of Undergraduate Research

Section

Articles

License

The author(s) will retain the copyright, but by submitting the article agree to grant permission to the PUMP Journal of Undergraduate Research to publish, distribute, and archive the article. The author(s) will acknowledge prior publication in the PUMP Journal of Undergraduate Research for all future uses of the article or parts of it.