1742, the German mathematician Goldbach proposed that every even number not less than 6 is the sum of two odd prime numbers; Every odd number not less than 9 is the sum of three odd prime numbers.
This question was put forward by the German mathematician C Goldbach (1690- 1764) in a letter to the great mathematician Euler on June 7th, 742, so it is called Goldbach conjecture. On June 30th of the same year, Euler replied that this conjecture may be true, but he could not prove it. Now, the general formulation of Goldbach conjecture is: every even number greater than or equal to 6 can be expressed as the sum of two odd prime numbers; Every odd number greater than or equal to 9 can be expressed as the sum of three odd prime numbers. In fact, the latter proposition is the inference of the previous proposition.
Goldbach conjecture seems simple, but it is not easy to prove, which has become a famous problem in mathematics. In 18 and 19 centuries, all number theory experts did not make substantial progress in proving this conjecture until the 20th century. 1937 Soviet mathematician vinogradov (ииногралов, 189 1- 1983).
It is directly proved that Goldbach conjecture is not valid, and people adopt circuitous tactics, that is, first consider expressing even numbers as the sum of two numbers, each of which is the product of several prime numbers. If the proposition "every big even number can be expressed as the sum of a number with no more than one prime factor and a number with no more than b prime factors" is recorded as "a+b", then the Coriolis conjecture is to prove that "1+ 1" holds. Since the 1920s, some mathematicians from abroad and China have successively proved the propositions of "9+9", "23", "1+5" and "L+4".
1966, Chen Jingrun, a young mathematician in China, successfully proved "1+2" after years of painstaking research, that is, "any big even number can be expressed as the sum of a prime number and another number whose prime factor does not exceed 2". This is the best achievement in this research field so far, and it is only one step away from picking up this "jewel in the crown of mathematics" that has caused a sensation in the mathematics field. "1+2" is also called Chen Theorem.
Please refer to the following website for details.
/question/45067343.html
/view/ 1808.htm