English

On Diophantine triples containing a triangular number

Number Theory 2025-10-31 v1

Abstract

A general construction yielding infinitely many families of D(m2)D(m^2)-triples of triangular numbers is presented. Moreover, each triple obtained from this construction contains the same triangular number TnT_n.

Keywords

Cite

@article{arxiv.2510.26617,
  title  = {On Diophantine triples containing a triangular number},
  author = {Marija Bliznac Trebješanin},
  journal= {arXiv preprint arXiv:2510.26617},
  year   = {2025}
}

Comments

5 pgs

R2 v1 2026-07-01T07:14:04.325Z