Lebesque, V.A. (1840) Demonstration de l’impossibilite de resoudre l’equation est impossible en nombres entiers. Journal de Mathematiques Pures et Appliquees, 5, 276-279, 348-349.

has been cited by the following article:

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

  AUTHORS: Joachim Moussounda Mouanda

  KEYWORDS: Fermat’s Equation, Polynomials, Model Theory

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.12 No.1, March 22, 2022

  ABSTRACT: We construct sequences of positive integers which are solutions of the equation x2+y2=z2. 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 x2n+y2n=z2n (n ≥2) has no integer solutions. We prove that the equation xn+yn=zn (n ≥3) has no solutions in N. We introduce the notion of theplanetaryrepresentation 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.