Tetrahedral numbers: a testing criterion

1. The nth triangular number is defined by tn=1+2+3+⋯+n, while the nth tetrahedral number is defined by Tn=t1+t2+t3+⋯+tn. It can easily be shown [1] that tn=n(n+1)2andTn=n(n+1)(n+2)6. There is a ve...

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Journal
The Mathematical Gazette
Published
2026-08-20
DOI
https://doi.org/10.1080/00255572.2026.2714224
Primary Topic
Mathematics and Applications
Type
article
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article

Tetrahedral numbers: a testing criterion

Aji Thomas, Amarnath Murthy, K. B. Subramaniam
The Mathematical Gazette
Mathematics and Applications
article

Tetrahedral numbers: a testing criterion

Aji Thomas, Amarnath Murthy, K. B. Subramaniam
article en

Abstract

1. The nth triangular number is defined by tn=1+2+3+⋯+n, while the nth tetrahedral number is defined by Tn=t1+t2+t3+⋯+tn. It can easily be shown [1] that tn=n(n+1)2andTn=n(n+1)(n+2)6. There is a ve...

The Mathematical Gazette
National Council Of Educational Research And Training (IN), Oil and Natural Gas Corporation (India) (IN)
Openalex Percentile: Top 5%
Mathematics and Applications
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Tetrahedral numbers: a testing criterion — Aji Thomas, Amarnath Murthy, et al. · The Mathematical Gazette (2026) | TGRS Research Map | TGRS