Thinking about Fermat`s last theorem.

It has been more than 350 years since the great French mathematician Pierre de Fermat wrote in the margins of a book by another great mathematician of ancient Greece, Diophanti, "Neither a cube into two cubes, a squared square nor generally any other than a square power can be decomposed into the sum of two of the same; I found a wonderful proof of this. However, the width of the margins does not allow me to carry it out".

Since that time many famous mathematicians such as Euler, Dirichlet, Legandre and others have tried to prove this theorem, but in vain. It was specifically proven, starting from the 3rd power (Euler), the 4th (Dirichlet), the 5th and 7th powers (Lame) up to above the 600th power. However, an overall proof has not been found.

In 1993, Andrew Wiles announced his proof of this theorem, which, however, is very complex, involving the latest techniques of analysis and computer technology as well. The world of Fermat `s People (people, who are involved in the proof of this theorem) did not accept this evidence' because it is obvious that it is not the proof, which has been indicated by Fermat in the margins of the Diophanti book. Therefore, Fermat's Last Theorem, also known as Fermat's Great Theorem, continues to haunt the minds of many thinkers in search of a simple proof.

Using a new approach in the search for such evidence, it seems that I have managed to find a path to it. Some considerations about the search for the proof of Fermat's theorem will be the theme of the seminar.