Fermat's Last Theorem, also known as Fermat's Last Theorem, was put forward by French mathematician Pierre de Fermat in the 7th century.

Content: when the integer n > 2, the equation x about x, y and z? + y？ = z？ There is no positive integer solution.

2. Four-color problem

Four-color problem, also known as four-color conjecture and four-color theorem, is one of the three major mathematical problems in the modern world. The four-color theorem of maps was first put forward by a British college student named Goodrich.

Content of the four-color problem: Any map with only four colors can make countries with the same border have different colors. In other words, a map only needs four colors to mark it, which will not cause confusion.

Expressed in mathematical language: divide the plane into non-overlapping areas at will, and each area can always be marked with one of the four numbers 1234, without making two adjacent areas get the same number.

3. Goldbach conjecture

1742 On June 7th, Goldbach put forward the famous Goldbach conjecture.

Content: take any odd number, such as 77, which can be written as the sum of three prime numbers, that is, 77 = 53+17+7; Any odd number, such as 46 1, can be expressed as 46 1=449+7+5, which is also the sum of three prime numbers. 46 1 can also be written as 257+ 199+5, which is still the sum of three prime numbers. There are many examples, that is, it is found that "any odd number greater than 5 is the sum of three prime numbers."

Extended data

1, Fermat's last theorem

The most wonderful math puzzle in history. The process of proving Fermat's Last Theorem is a history of mathematics. Fermat's Last Theorem originated more than 300 years ago, which challenged human beings for three centuries, shocked the whole world for many times, exhausted the energy of many of the most outstanding human brains, and fascinated thousands of amateurs in Qian Qian.

2. The essence of the four-color theorem is the inherent property of a two-dimensional plane, that is, two straight lines in the plane that cannot intersect and have no common points. Many people have proved that it is impossible to construct five or more connected regions on the two-dimensional plane, but it does not rise to the level of logical relationship and two-dimensional inherent attributes, which leads to many wrong counterexamples. But these are precisely the textual research and development promotion of the rigor of graph theory.

The computer proves that although we have made tens of billions of judgments, we have only succeeded in a huge number of advantages, which does not conform to the strict logic system of mathematics, and there are still countless math enthusiasts involved.

3. From Goldbach's conjecture about even numbers, it can be deduced that any odd number greater than 7 can be written as the conjecture of the sum of three prime numbers. The latter is called "weak Goldbach conjecture" or "Goldbach conjecture on odd numbers".

If the Goldbach conjecture about even numbers is right, then the Goldbach conjecture about odd numbers will also be right. In May 20 13, Harold Horovgott, a researcher at Paris Teachers College, published two papers, announcing that the weak Goldbach conjecture was completely proved.

Baidu encyclopedia-Fermat's last theorem

Baidu Encyclopedia-Four Color Theorem

Baidu encyclopedia-Goldbach conjecture