Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2023
  • Volume: 15
  • Issue: 1

Some Non-Extendable Special Diophantine Triples Involving Heptagonal Pyramidal Numbers

1Assistant Professor, PG & Research Department of Mathematics, Cauvery College for Women, (Autonomous)Trichy-18

2PG Scholar, PG & Research Department of Mathematics, Cauvery College for Women, (Autonomous)Trichy-18

*E-mail: c.saranyavinoth@gmail.com

**cchithu336@gmail.com

Online Published on 08 June, 2023.

Abstract

In this paper, we look for three specific polynomials with integer coefficients to such an extent that the product of any two numbers added by a non-zero number (or polynomials with integer coefficients) is a perfect square.

Keywords

Special Diophantine triples, Heptagonal pyramidal number, Diophantine triples, Triples, Perfect square, Pyramidal number