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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
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J Munasinghe ,

Department of Mathematics, University of Kelaniya, Kelaniya, LK
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DK Mallawa Arachchi,

Department of Mathematics, University of Kelaniya, Kelaniya, LK
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KH Kumara

Department of Mathematical Sciences, University of Wayamba, Kuliyapitiya, LK
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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
DOI: http://doi.org/10.4038/josuk.v3i0.2742
How to Cite: Piyadasa, R. et al., (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 Sri Lanka. 3, pp.93–98. DOI: http://doi.org/10.4038/josuk.v3i0.2742
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Published on 24 Jan 2011.
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