Abstract
This article presents a brief and new solution to the problem known as the “Fermat’s Last Theorem”. It is achieved without the use of abstract algebra elements or elements from other fields of modern mathematics of the twentieth century. For this reason it can be easily understood by any mathematician or by anyone who knows basic mathematics. The important thing is that the above “theorem” is generalized. Thus, this generalization is essentially a new theorem in the field of number theory.
Highlights
Fermat’s last theorem has been an unsolved puzzle in mathematics for over three centuries
This article presents a brief and new solution to the problem known as the “Fermat’s Last Theorem”. It is achieved without the use of abstract algebra elements or elements from other fields of modern mathematics of the twentieth century
The theorem itself is a deceptively simple formulation in mathematics, while Fermat famously stated that the problem had been solved around 1637
Summary
Fermat’s last theorem (known historically by this title) has been an unsolved puzzle in mathematics for over three centuries. The theorem itself is a deceptively simple formulation in mathematics, while Fermat famously stated that the problem had been solved around 1637 His claim was discovered 30 years after his death, as a clear statement on the margin of a book, but Fermat died without leaving any evidence as to his claim. Because in all those years never did I stop solving problems from International Mathematical Olympiad (IMO) or finding solutions to unsolved problems of Number Theory, at some time I thought about trying to solve Fermat’s last theorem, believing it could have a brief solution.
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