American Journal of Computational Mathematics

Volume 12, Issue 1 (March 2022)

ISSN Print: 2161-1203   ISSN Online: 2161-1211

Google-based Impact Factor: 0.42  Citations  

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

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DOI: 10.4236/ajcm.2022.121009    188 Downloads   1,012 Views  Citations

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 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.

Share and Cite:

Mouanda, J. (2022) On Fermat’s Last Theorem and Galaxies of Sequences of Positive Integers. American Journal of Computational Mathematics, 12, 162-189. doi: 10.4236/ajcm.2022.121009.

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