Dickson's Method for Generating Pythagorean Triples Revisited

Authors

  • Josef Rukavicka Department of Mathematics, Faculty of Electrical Engineering, CZECH TECHNICAL UNIVERSITY IN PRAGUE

Keywords:

Pythagorean triples, Dickson's method

Abstract

The Dickson's method for generating Pythagorean triples states that the integers a=r+s, b=r+t,  c=r+s+t form a \emph{Pythagorean triple} (a,b,c) on condition that r2=2st, where r,s,t are positive integers, \cite{DICKSON}. This paper presents a new simple proof of this method.

Downloads

Published

2017-08-06

Issue

Vol. 6 No. 3: (July 2013)

Section

Number Theory

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Dickson’s Method for Generating Pythagorean Triples Revisited. (2017). European Journal of Pure and Applied Mathematics, 6(3), 363-364. https://www.ejpam.com/index.php/ejpam/article/view/1844