What is Fermat s Great Theorem and what is the use of Fermat s historical position

Fermat's Great Theorem, also known as "Fermat's Last Theorem", was proposed by the French mathematician Fermat. It asserts that the equation x n + y n = z n has no positive integer solution for x, y, z when the integer n >2. After being proposed, it went through many conjectures and dialectics, and after more than 300 years of history, it was finally proved by British mathematician Andrew Wiles in 1995.

Fermat's median value theorem formula:

A class of median problems that can be solved by using the median value theorem of continuous functions in closed intervals, i.e., proving the existence of [a,b], makes a proposition true. A class of median theorems that can be solved by using Roll's theorem and Fermat's theorem, that is, proving the existence of [a,b], such that h( ,f( )f'( 0.

Fermat's theorem is explained in layman's terms.

Fermat's theorem, also known as Fermat's equation, where n is equal to or greater than 3, there will be no complete integer solution, i.e., it will enter some kind of creative "three" chaotic domain. Only by entering the Chaos Domain can new things be created and created.

Fermat's theorem, simply understood is a theorem proposed by Fermat, the content of the specific theorem is the n power of x + the n power of y = the n power of z, when n is greater than 2, this equation does not have any integer solution.

This equation looks very similar to the Pythagorean theorem that we learned in junior high school, and Fermat's great theorem is a study based on Fermat's theorem.

The Pythagorean theorem, coined more than 2,000 years ago, says that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the two right-angled sides. That is, the Pythagorean theorem.

Around 1637 A.D., while Fermat was studying the Pythagorean equations, he wrote down an equation that closely resembled the Pythagorean equations: Fermat wrote an additional commentary when he wrote down the leak of this conclusion in the margins of the book Arithmetic, near question 8

I'm sure I've found a wonderful proof, and the space here is too small to write. This is the famous Fermat's Great Theorem or Fermat's Last Theorem in the history of mathematics.

It depends, for university students, they are different; For the children's shoes in middle school, it can be considered that they are the same. You have to make sure that you can read the following explanatory material, which is technically different.

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Pierre de Fermat (1601 – 1665) was one of the greatest mathematicians of the 17th century.

His contributions to mathematics were manifold, including the concepts of differential calculus, analytic geometry (he and Descartes were arguably independent of the invention of analytic geometry, although he was the first to apply it to three-dimensional space), and number theory. Especially in number theory, the most well-known is of course Fermat's final theorem (Fermat).'s last theorem), but there is also an important Fermat theorem's little theorem, plus "small" is used to distinguish between Fermat's theorem and Fermat's theorem'S two squares theorem), the infinite descent and the number of Fermats, etc., are too numerous to mention.

Fermat's theorem, i.e., it is impossible to argue that there are positive integers x, y, z, n 2 that satisfy xn yn zn , n 2. This proposition is written in the margins of the second volume of Diophantus' Arithmetic (Latin translation, 1621).

It is impossible to divide a power higher than the second into the sum of two powers of the same power.

Fermat's minor theorem is a theorem in number theory. Theorem: (Fermat's theorem) When p is prime, and for any integer a is not a multiple of p, there is the following equation ap-1 1 (mod p).

Fermat's final theorem.

When the integer n > 2, the equation x n + y n = z n has no positive integer solution.

The Pythagorean theorem and Pythagorean arrays.

Pythagorean theorem In ABC, if c is a right angle, then a2 + b2 = c2

Note: 32 + 42 = 52; 52 + 122 = 132;

82 + 152 = 172; 72 + 242 = 252; …Wait a minute.

i.e. (3 , 4 , 5), (5 , 12 , 13) ....And so on for the equation.

x 2 + y 2 = positive integer solution of z 2.

We call the above integer solution the Pythagorean array