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SOURCE:   Almanac of Modern Science and Education. Tambov: Gramota, 2014. 3. P. 151-162.
SCIENTIFIC AREA: Physical-Mathematical Sciences
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NATURAL NUMBERS AND FERMATS THEOREM

Romanov Vadim Nikolaevich
National Mineral Resources University (University of Mines)


Abstract. The paper studies the correlation of natural numbers set properties and Fermats theorem. The theorem proving, based on the above mentioned properties and the analysis of the limitations of supposed solutions, is proposed. The role of the acceptable transformations of variables included in the equation is studied, as well as the contributions of separate constituents depending on the values of characteristic quantities. Calculations confirm the correctness of the proving process.
Key words and phrases: , , , , , theory of numbers, natural numbers, Fermats last theorem, limitations of supposed solutions, acceptable transformations.
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References:
  1. Romanov V. N. Podkhody k dokazatel'stvu teoremy Ferma. SPb.: LEMA, 2009.
  2. Romanov V. N. Sposoby dokazatel'stva teoremy Ferma: preprint. SPb.: SZTU, 2005.
  3. Wiles A. Modular Elliptic Curves and Fermats Last Theorem // Annals of Mathematics. 1995. Vol. 142. P. 443-551.

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