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 $r^2=2st$, where $r,s,t$ are positive integers, \cite{DICKSON}. This paper presents a new simple proof of this method.

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Published

2017-08-06

Issue

Vol. 6 No. 3: (July 2013)

Section

Number Theory

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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