Fermat’s Last Theorem

Fermat's last theorem was 1637. Pierre de Femal was sitting in his library by squeezing out a copy of Arithmetica written by Greek mathematician Diacus in the 3rd century AD. Permat encountered Pythagoras' equation: x 2 + y 2 = He leaned back to the chair to think and think whether this attribute is limited to the power of two people. He sat down again and scanned the page for a clue. Suddenly he began to write strongly at the edge. "A cube can not be written as the sum of two cubes, or the fourth power can not be written as the sum of two 4 powers.

Fermat's last theorem is the theorem that Fermat originally proposed and is the scribbled theorem at the end of the copy of his ancient Greek text Diipentus. After death, a note of scribbling was found but now it is lost. However, the copy was kept in a book published by Fermat 's son. In comment, Fermat claims that he found evidence that the Diophantine equation has no integer solution. The full text of Fermat's statement is written in Latin. Sanedetexi. Hancmarginis exiguitas non caperet "(Nagell 1951, p.252)

Fermat's last theorem study in 1847 was very important. On March 1, the same year Lame announced to the Paris Academy that he proved Fermat's last theorem. He sketched out some of the evidence that involves decomposing xn + yn = zn into linear factors over complex numbers. Lamé admits that Liouville proposed him this idea. However, Liouville suggested at the conference after Mr. Lamé that the problem with this approach is that it is necessary to consider the uniqueness of prime numbers for these complex numbers, and wondering whether this is true or not . Cauchy backed Lame, but in a more typical way he pointed out to the Academy Conference in 1847 that he reported the idea that he might prove Fermat 's last theorem.

Fermat's last theorem, also known as Fermat's theorem, is that there are no natural numbers (1, 2, 3, ...) x, y, z. Where n is greater than natural number. For example, for n = 3, Fermat's last theorem states that there are no natural numbers x, y, and z such that x 3 + y 3 = z 3 (ie, the sum of the two cubes is not a cube) Will be described. French mathematician Pierre de Ferma wrote to "Arithmetic" of "Alexander's Shame Novel" (about 250 ce) in 1637 as follows. The exponentiation is the sum of the two cubes and the power of 4, or in general the number greater than the power of 2 is the sum of two similar powers. I found very noteworthy evidence, but this margin is too small It is impossible to control it. "For centuries mathematicians have been confused by this phrase because they can neither prove nor refute Fermat's last theorem. However, many proofs on specific values ​​of n are designed