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License Agreement on scientific materials use.
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NATURAL NUMBERS AND FERMAT’S THEOREM
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Vadim Nikolaevich Romanov
National Mineral Resources University (University of Mines)
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Submitted:
March 11, 2014
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Abstract.
The paper studies the correlation of natural numbers set properties and Fermat’s 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.
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Key words and phrases:
теория чисел
натуральные числа
последняя теорема Ферма
ограничения на предполагаемые решения
допустимые преобразования
theory of numbers
natural numbers
Fermat’s last theorem
limitations of supposed solutions
acceptable transformations
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References:
- Романов В. Н. Подходы к доказательству теоремы Ферма. СПб.: ЛЕМА, 2009.
- Романов В. Н. Способы доказательства теоремы Ферма: препринт. СПб.: СЗТУ, 2005.
- Wiles A. Modular Elliptic Curves and Fermat’s Last Theorem // Annals of Mathematics. 1995. Vol. 142. P. 443-551.
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