However, the FLT is only one of a whole hundred (!!!) tasks that will also receive solutions here for the first time! Along with the solution of the FLT problem, there will be a whole heap of other very impressive tasks that will delight many kids and interest them for a long time. And we will try very hard to get their attention, then they also will draw adults into this game. If we compare the significance of the tasks solved here, the undisputed leadership will remain by the FLT although as for the difficulty of its solving, it is quite simple and secondary school students can easily cope with it … Do you doubt? But still this is a task from the 17th century, however today's ones will be more difficult, but in order to solve them, you need to have a reliable foundation of knowledge and FLT is one of its cornerstones.

About other tasks we will else tell in detail and they will then cease to be a secret behind seven seals, but those that we only call and will not reveal to the end, will be very curious. Take for example one problem of astronomers who have accumulated huge collections with records of cosmic signals of electromagnetic radiation from all points of the starry sky. And what to do with them nobody knows. Whether it is the brothers in mind communicate with us or it is just natural radiation. Unmeasured money spent on giant radio telescopes and a bunch of people working for them, but there’s nothing to use. They are simple the poor fellows!

But we know a way how to distinguish reasonable signals from natural ones, but we will lowly keep silent about this. We know this only because we will reveal here one of the greatest science’s secrets about determining the essence of the information’s phenomenon. It is clear the current science in this matter doesn’t know anything at all. But as soon as we clarify it, then besides us also others can then guess how electromagnetic signals may be analyzed for determining their reasonable origin.

We'll begin to approach the solution of this problem by penetrating the most important problem of all science, this is defining the essence of the number phenomenon, about which unfortunately science also does not know anything like about many other “simple” questions. And now, when it comes to the most important essence capable of displaying all other essences (yes, yes, it's about number!), we can already see that case is taking a much more serious turn and such shifts are awaiting us, which were not even in the entire visible history of our civilization!!!

Again, are you in doubt? But that is why you would never guess what are those shifts, and when you find out, you can hardly believe that they are possible, but secrets behind seven seals cannot be other. Until someone gets to them and begins to slowly reveal them, everyone will remain in the dark about how a much is arranged in this world and why it is better to know about it than to live in ignorance about the existence of the wonderful world of science where perfection and precision dominate. And it is just curious to find out how, for example, does look the proofs of the Fermat’s theorems that turned out to be inaccessible even to the greatest scientists. Now there is a book that allows everyone to see with one's own eyes all these hidden and inmost secrets unknown to current science and thereby receive a unique opportunity to rise to a height unattainable before.

It is enough to see the name Fermat in the title of our work to suppose something great in it. It was such a remarkable man that he could not create anything petty, even average: his mind shone with such a brilliance that he could not tolerate anything dark. It may be said that he is similar to the sun in a moment driving off the dusk and spilling the blinding light of its bright rays even into the abysm. Until now, everyone has been amazed by Diophantus and this is well deserved; but, no matter how great he was, it is a pygmy in comparison with such a giant who has come a long way around the world of mathematics traversed lands that have never been seen before. Vieta was praised by all those who in our century devoted themselves to the study of algebraic operations, so for the glorification of some scientist it was enough to say that in the work on analysis he followed the thoughts of this author. But he also did not reach the heights of science which will become clear from the many examples explained below. Before Claude Gaspar Bachet I always bowed down as before a man of the subtlest mind; in addition, he was a close friend of mine and his research on Diophantus perfectly shows how astute he was in the science of numbers. But his gaze is weaker if you compare it with the lynx eyes of our Fermat, which penetrated into the most intimate depths.