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Formation Of Dio-3 Tuples Of Centered Hexagonal Number | Synapse

March 16, 2026Open Access

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Formation Of Dio-3 Tuples Of Centered Hexagonal Number

GJG. Janaki PSP. Sangeetha SSS. Swetha

Key Points

This study aims to explore the existence of Diophantine triples that involve centered hexagonal numbers.
Investigated the properties of centered hexagonal numbers
Analyzed conditions for forming Diophantine triples
Established mathematical relationships between number properties
Identified specific sets of positive integers that meet the Diophantine triple criteria
Found conditions that ensure the products yield perfect squares
Demonstrated the relationship between centered hexagonal numbers and Diophantine triples

Abstract

A Diophantine triple is a set of three positive integer a,b, c such that the product of any two distinct elements is added to one, is a perfect square .This article investigates the existence of a specific Diophantine triple involving Centered Hexagonal Number ensuring the product of any two members of the added to the property D(n).

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Cite This Study

Janaki et al. (Thu,) studied this question.

synapsesocial.com/papers/69b79e488166e15b153ab5c9 https://doi.org/https://doi.org/10.5281/zenodo.19019964