This theorem proves that any large enough even number can be expressed as the sum of the products of a prime number and no more than two prime numbers, which is what we usually call "1+2".
Chen Jingrun and Shao Pinzong's Goldbach Conjecture (Liaoning Education Press) wrote on page 1 18: The "1+2" result of Chen Jingrun's theorem means:
For any big even number, you can always find the prime number P', p ",or P 1, P2, P3, so that at least one of the following two equations holds:
“N = P '+P”(A)
N=P 1+P2*P3 (B)
Of course, it is not excluded that both (a) and (b) are true, such as 62=43+ 19, 62=7+5× 1 1. "
Chen Theorem is a detailed proof method published by China mathematician Chen Jingrun in 1966 and 1973. This theorem proves that any sufficiently large even number can be expressed as the sum of the products of a prime number and no more than two prime numbers.
Goldbach put forward the following conjecture in his letter to Euler in 1742: any integer greater than 2 can be written as the sum of three prime numbers. Because the convention that "1 is also a prime number" is no longer used in mathematics, the modern statement of the original conjecture is that any integer greater than 5 can be written as the sum of three prime numbers. Euler also put forward another equivalent version in his defense, that is, any even number greater than 2 can be written as the sum of two prime numbers. Today's popular conjecture is said to be Euler's version. Any sufficiently large 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, and the proposition is called "a+b". 1966 Chen Jingrun proved that "1+2" holds, that is, "any sufficiently large even number can be expressed as the sum of two prime numbers, or the sum of a prime number and a semi-prime number".
Chen Jingrun (1May 22, 933 ~1March 9096 19096) is a famous mathematician in China, and graduated from the Department of Mathematics of Xiamen University.
The publication of 1966 "A big even number is the sum of the products of a prime number and no more than two prime numbers" (referred to as "1+2") became a milestone in the study of Goldbach's conjecture. And his published results are also called Chen Theorem. This work also enabled him, Wang Yuan and Pan Chengdong to win the first prize of China Natural Science Award with 1978 * *.
1999, China issues stamps to commemorate Chen Jingrun. Purple Mountain Observatory named a planet "Chen Jingrun Star" to commemorate it. Other related film and television works are named after Chen Jingrun.