Some Ps Diophantine Triples for Especial s Integer

Abstract

The aim of this research paper is to consider some –Diophantine triples including integer numbers under the special condition for . It is demonstrated that they can not be extended to –Diophantine quadruples but they are regular. Also, several properties on the elements of this type sets are obtained. Some notations such as Modular Arithmetic, Quadratic Reciprocity or Residue Law, Legendre Symbol are used to prove our results