What question did this study set out to answer?

This research aims to construct infinite families of Diophantine triples specifically involving triangular numbers.

March 21, 2026

On diophantine triples containing a triangular number

MTMarija Bliznac TrebješaninUniversity of Split

Key Points

This research aims to construct infinite families of Diophantine triples specifically involving triangular numbers.
Present a general construction for deriving D(m²)-triples.
Focus on triangular numbers in the construction.
Analyze the properties of the resulting triples.
Infinitely many families of D(m²)-triples of triangular numbers are generated.
Each constructed triple contains the same triangular number Tn.

Abstract

Abstract A general construction yielding infinitely many families of D ( m 2 )-triples of triangular numbers is presented. Moreover, each triple obtained from this construction contains the same triangular number T n .

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Cite This Study

Marija Bliznac Trebješanin (Thu,) studied this question.

synapsesocial.com/papers/69be372b6e48c4981c676953 https://doi.org/https://doi.org/10.1515/ms-2025-1077

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