Extendibility of Some Pk Sets

Abstract

A set of m distinct positive integers a1,...am is called a Diophantine m-tuple if aiaj+n is a square for each 1≤i<j≤m . The aim of this study is to show that some Pk sets can not be extendible to a Diophantine quadruple when k=2 and k=-3 and also to give some properties about Pk sets.

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