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arxiv: 2510.26617 · v1 · pith:GRM4PVNUnew · submitted 2025-10-30 · 🧮 math.NT

On Diophantine triples containing a triangular number

classification 🧮 math.NT
keywords triangularconstructionnumbertriplescontainingcontainsdiophantinefamilies
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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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