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A new interpretation of primitive Pythagorean triples and a conjecture related to Fermat's Last Theorem Cover

A new interpretation of primitive Pythagorean triples and a conjecture related to Fermat's Last Theorem

Open Access
|Jan 2011

Abstract

In this study primitive Pythagorean triples have been carefully examined and found that all of them satisfy a simple rule related to mean value theorem. It is pointed out that integral triples satisfying the equation on Fermat's Last Theorem should satisfy a special rule related to mean value theorem. A conjecture is proposed which may  lead to find a simple proof of Fermat's Last Theorem.

Keywords: Pythagorean triples; Fermat's Last Theorem

DOI: 10.4038/josuk.v3i0.2742

J. Sci. Univ. Kelaniya 3 (2007) : 93-98
Language: English
Page range: 93 - 98
Published on: Jan 24, 2011
Published by: Faculty of Science of the University of Kelaniya, Sri Lanka
In partnership with: Paradigm Publishing Services

© 2011 RAD Piyadasa, J Munasinghe, DK Mallawa Arachchi, KH Kumara, published by Faculty of Science of the University of Kelaniya, Sri Lanka
This work is licensed under the Creative Commons License.