In this paper the author works only through the factorizzation in factors, with the proceeding for absurd, that is if x, y, z are prime among them, under the hypothesis that the tern of integers (x, y, z) were a solution of the equation x^{n} + y^{n} = z^{n}. Then he obtains that the first and the second term of an equivalent relation are odd (the first) and even (the second). Three cases are separated: 1) n is power of 2; 2) n is odd; 3) n is product of a power of 2 for an odd number. For a better understanding also the Pythagorean set of three numbers is reported.

Periodical:

The Bulletin of Society for Mathematical Services and Standards (Volume 4)

Pages:

22-40

DOI:

10.18052/www.scipress.com/BSMaSS.4.22

Citation:

N. Fragnito "The Last Theorem of Pierre de Fermat, In Elementary Way", The Bulletin of Society for Mathematical Services and Standards, Vol. 4, pp. 22-40, 2012

Online since:

Dec 2012

Authors:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

References:

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