Research Articles
A new interpretation of primitive Pythagorean triples and a conjecture related to Fermat's Last Theorem
Authors:
RAD Piyadasa,
Department of Mathematics, University of Kelaniya, Kelaniya, LK
J Munasinghe ,
Department of Mathematics, University of Kelaniya, Kelaniya, LK
DK Mallawa Arachchi,
Department of Mathematics, University of Kelaniya, Kelaniya, LK
KH Kumara
Department of Mathematical Sciences, University of Wayamba, Kuliyapitiya, LK
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
How to Cite:
Piyadasa, R., Munasinghe, J., Arachchi, D.M. and Kumara, K., 2011. A new interpretation of primitive Pythagorean triples and a conjecture related to Fermat's Last Theorem. Journal of Science of the University of Kelaniya, 3, pp.93–98. DOI: http://doi.org/10.4038/josuk.v3i0.2742
Published on
24 Jan 2011.
Peer Reviewed
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