An Exploration of Very Triangular Numbers

  • Audrey Baumheckel California State University, Fresno
  • Tamás Forgács California State University, Fresno
Keywords: triangular numbers; very triangular numbers; Hamming weight


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

How to Cite
Baumheckel, A., & Forgács, T. (2023). An Exploration of Very Triangular Numbers. The PUMP Journal of Undergraduate Research, 6, 317-333.