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On Fermat’s Last Theorem and Galaxies of Sequences of Positive Integers

On Fermat’s Last Theorem and Galaxies of Sequences of Positive Integers
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摘要 We construct sequences of positive integers which are solutions of the equation x<sup>2</sup>+y<sup>2</sup>=z<sup>2</sup>. We introduce Mouanda’s choice functions which allow us to construct galaxies of sequences of positive integers. We give many examples of galaxies of numbers. We show that the equation x<sup>2n</sup>+y<sup>2n</sup>=z<sup>2n</sup> (n ≥2) has no integer solutions. We prove that the equation x<sup>n</sup>+y<sup>n</sup>=z<sup>n</sup> (n ≥3) has no solutions in N. We introduce the notion of the planetary representation of a galaxy of numbers which allow us to predict the structure, laws of the universe and life in every planet system of every galaxy of the universe. We show that every multiverse contains a finite number of universes. We construct sequences of positive integers which are solutions of the equation x<sup>2</sup>+y<sup>2</sup>=z<sup>2</sup>. We introduce Mouanda’s choice functions which allow us to construct galaxies of sequences of positive integers. We give many examples of galaxies of numbers. We show that the equation x<sup>2n</sup>+y<sup>2n</sup>=z<sup>2n</sup> (n ≥2) has no integer solutions. We prove that the equation x<sup>n</sup>+y<sup>n</sup>=z<sup>n</sup> (n ≥3) has no solutions in N. We introduce the notion of the planetary representation of a galaxy of numbers which allow us to predict the structure, laws of the universe and life in every planet system of every galaxy of the universe. We show that every multiverse contains a finite number of universes.
作者 Joachim Moussounda Mouanda Joachim Moussounda Mouanda(Mathematics Department, Blessington Christian University, Nkayi, Republic of Congo)
机构地区 Mathematics Department
出处 《American Journal of Computational Mathematics》 2022年第1期162-189,共28页 美国计算数学期刊(英文)
关键词 Fermat’s Equation POLYNOMIALS Model Theory Fermat’s Equation Polynomials Model Theory
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