International Journal of Engineering, Science and Mathematics
  • Year: 2019
  • Volume: 8
  • Issue: 2

Two unique primitive pythagorean triples from every integer

  • Author:
  • Harry Z. Davis
  • Total Page Count: 5
  • Page Number: 58 to 62

Professor, Stan Ross Department of Accountancy, Zicklin School of Business, Bernard Baruch, City University of New York, USA

*Author correspondence: Harry Z. Davis, Stan Ross, Department of Accountancy, Zicklin School of Business, Zicklin School of Business, Bernard Baruch, City University of New York, 1 Bernard Baruch Place, New York, NY-10010

Online published on 7 May, 2019.

Abstract

In this paper we show that for every integer, there are two unique primitive solutions to the classical Pythagorean equation. These solutions have two interesting points. The two unique primitive triples correspond to every integer, with no additional conditions. Two, for each of the solutions, C-B is the set of all odd integers squared.

Keywords

Pythagorean Triples