The Wonders of Arithmetic from Pierre Simon de Fermat. Youri Veniaminovich Kraskov
even occurred to anyone to abandon this idea. During this time, so much has been done that it’s so easily to take it all and throw away is in no way possible because many “experts” with their “scientific” research can lose their jobs and all monographs, reference books and textbooks on this theme will at once turn into tons of waste paper.2
Yes, not one of the scientists can be surprised by the fact that the Basic theorem of arithmetic is not acted, because they have already accustomed not only to such things. But they will be very surprised, when they know that nobody can prove BTA so far! All the “proofs” of this theorem in textbooks and on the Internet are either clearly erroneous or not convincing. But then it turns out that on the one hand, science deprives itself legitimacy since it does not recognize the Basic theorem, on which it itself holds, but on the other hand, it throughout all its history simply was not aware of the fact that it has no proof of this theorem.3
And what now to do? Can this blatant fact be perceived otherwise as the degradation of science in its very foundations? To some people such a conclusion may seem too categorical, but unfortunately for current science, this is even very mildly said. What a marvel, some theorem doesn’t act? And what about when the law of conservation of energy doesn’t act? Current astrophysics simply does not present itself without the “big bang theory”, according to which all the galaxies in the Universe are flowing away like fuzz. And such a crazy phantasmagoria is quite seriously presented today as one of the greatest "scientific" achievements, and fig leaves like "hidden energy" and "dark matter" easily cover the problems with the notorious conservation laws.
Against the background of the truly outstanding achievements of science there is no doubt that this virus of dark misfortune, which penetrated into its very foundations, could not have emerged from nothing and was clearly introduced from the outside. The malicious nature of the virus is disclosed by the fact that it always hides under the guise of "good intentions." And if that is so, then the task of getting rid of the misfortune is simplified because these are just the intrigues of the unholy, from which the real science always had sufficient reliable immunity.
But for this particular virus this immunity began to act in a very special way. Suddenly out of nowhere, there appeared a simple-looking task called “The Fermat’s Last Theorem” (FLT), which no one could prove despite the promised bonuses and honors. It simply scoffed at everyone who tried to find a solution regardless of whether it was an ambitious candidate for the prize or the greatest scientist. With the FLT many scientists were even afraid to deal in order not inadvertently to tarnish their reputation.
This fascinating game with a knowingly failure result dragged on centuries and in the end, everyone was so tormented that it was necessary somehow this problem try to close. Very serious people made a decision – the problem is to be solved and bonuses are to be paid. No sooner said than done. However, what happened next will be told in the next part of our work. But it will be only a preamble because in order to penetrate the essence of this amazing phenomenon we will have to come back in the past in some unusual way. And then as a result of our research, it will turns out that this task was solved long ago in the 17th century when Louis XIV the king sun began to rule in France and two Gascons faithfully served him, one of them is the well-known from novel A. Dumas is the royal musketeer Monsieur D'Artagnan and the other is his same age and countryman Senator from Toulouse Monsieur de Fermat.
The history did not preserve for us in writing everything that would be especially interesting to us, therefore, nothing remains, but to try to restore some events at that in a very unusual way what about we will also more tell. However, it is well known that this senator during his lifetime became famous for offering simple-looking arithmetic tasks to noble grandees, which for some reason no one could solve. But apparently, he didn't had time (or even perhaps he didn't want) to tell anyone about that wonderful and non-proven until now theorem therefore it is also often called the “the Fermat’s Last theorem”.
Especially curious is the fact that not a single piece of paper has been preserved from the manuscripts of his scientific works on arithmetic and even those that were published after his death. The only exceptions were letters collected from different respondents. This strange fact indicates that some amazing and even incredible course of events took place, which led to such a situation and the establishment of only this fact alone significantly changes the whole picture, which presented to researchers so far.
They even believed that Fermat could not have a proof of his Last theorem and justified it with all sorts of arguments. But then they needed to be consistent and insist that Fermat also could not solve all other his tasks since for his justification he has not left us any explanation. But if they were solved by such giants of science as, say, Euler or Gauss, well, then it is quite another thing and we could assume that Fermat also has solved them. But if even they failed, then science in no way cannot afford to trust words that look like bluster.
In our research we will go the other way and we will proceed from the fact that the proof of Fermat’s Last theorem, without any doubt, should have been written down on paper at least in a sketch version. But if this is so, then where could it have disappeared moreover along with all the other papers? The answer to this question can shed light on the healing of the above-mentioned misfortune, which led to the fact that for unknown reasons this very proof for as much as three and a half centuries has become not only an unsolvable problem, but also a real stumbling block for science.
The riddles that we now have to explore seem at first as an accidental collision of all kinds of large and small stories, but these seemingly intricate events have their own rather rigid logic. It so happened that Fermat’s life and activities coincided with a turning point in history when a slow and very painful transition to the Renaissance took place after a long period of terrifying oppression by the Inquisition, which did not tolerate advanced scientific thought and have organized in France mass destruction of Protestant-Huguenots by Catholics.
Taking into account this circumstance, it is possible to explain such facts and events that from the point of view of a later time look as very strange and not able to understand. In particular, it should be noted that in those times, especially for people of ignoble origin, it would be very dangerous to have at home even completely harmless notes with formulas and calculations that could be interpreted as a very dangerous for their owners’ recordings of heretical content.
Pierre's Father Dominique Fermat was a wealthy merchant, but did not have a noble title. In 1601 his son Pierre was born, about which there is an entry in the church book, but his mother Françoise Cazeneuve and her child died not having lived after giving birth to three years. If the child had survived, then without a noble origin, he would have no chance of becoming a senator let alone a great scholar. And when after the loss of his first wife, Dominique married Claire de Long having noble roots, then this ensured a very opportunity that the future celebrity would appear [16].
Pierre Simon de Fermat was born not in 1601 as it was believed until now, but in 1607 (or in 1608) [1] in the little town of Beaumont-de-Lomagne near Toulouse. From childhood he stood out for such talent that Dominique Fermat did not spare the funds for his education and sent him to study first in Toulouse (1620 – 1625) and then in Bordeaux and Orleans (1625–1631). Pierre did not only study well, but also showed brilliant abilities that together with his mother’s kinship and financial support from his father, gave him every opportunity to get a best education as a lawyer.
During his studies the young future Senator Pierre Fermat was very keen on reading scientific literature and was so inspired by the ideas of great thinkers that he also himself felt a desire for scientific creativity. In order to learn more about what particularly interested him, he had mastered five languages4 and read with enthusiasm the works from the classics of that time. As a result, he deservedly received the highest education that just was possible in those times and deep down he cherished the dream of being able to continue work in the field of science.
If the support of Pierre Fermat’s career had ended on that, then there could be no question of a future senator since in those times even simple lawyer activity demanded the highest royal deigning. From this it becomes clear why the decisive step in Pierre’s parental care was his
Under conditions when the general state of science is not controlled in any way, naturally, the process of its littering and decomposition is going on. The quality of education is also uncontrollable since both parties are interested in this, the students who pay for it and the teachers who earn on it. All this comes out when the situation in society becomes conflict due to poor management of public institutions and it can only be “rectified” by wars and the destruction of the foundations of an intelligence civilization.
The name itself “the Basic theorem of arithmetic”, which not without reason, is also called the Fundamental theorem, would seem a must to attract special attention to it. However, this can be so only in real science, but in that, which we have, the situation is like in the Andersen tale when out of a large crowd of people surrounding the king, there is only one and that is a child who noticed that the king is naked!
On a preserved tombstone from the Fermat’s burial is written: “qui literarum politiforum plerumque linguarum” – skilled expert in many languages (see Pic. 93-94 in Appendix VI).