Goldbach's Conjecture

1742, the German Goldbach wrote a letter to Euler, a great mathematician living in Petersburg, Russia. In the letter, he raised two questions: First, can every even number greater than 4 be expressed as the sum of two odd prime numbers? Such as 6=3+3, 14=3+ 1 1 and so on. Second, can every odd number greater than 7 represent the sum of three odd prime numbers? Such as 9 = 3+3+3, 15 = 3+5+7, etc. This is the famous Goldbach conjecture. This is a famous problem in number theory, which is often called the jewel in the crown of mathematics.

In fact, the correct solution of the first question can be derived from the correct solution of the second question, because every odd number greater than 7 can obviously be expressed as the sum of even numbers greater than 4 and 3. 1937, Soviet mathematician vinogradov proved that every odd number big enough can be expressed as the sum of three odd prime numbers with his original "triangular sum" method, which basically solved the second problem. But the first problem has not been solved so far. Because the problem is too difficult, mathematicians began to study the weak proposition: every even number large enough can be expressed as the sum of two natural numbers with prime factors m and n respectively, abbreviated as "m+n" 1920 Norwegian mathematician Braun proved "9+9"; In the next 20 years, mathematicians successively proved "7+7", "6+6", "5+5", "4+4" and "1+c", where c is a constant. China mathematician Wang Yuan proved "3+4" in 1956, and then proved "3+3" and "2+3". In the first half of 1960s, Chinese and foreign mathematicians advanced the proposition to "1+3". 1966, China mathematician Chen Jingrun proved "1+2", which is called "Chen's theorem" and is still the best result. Chen Jingrun's outstanding achievements made him widely praised, not only because "Chen Theorem" made China first prove Goldbach's conjecture, but more importantly, a large number of China mathematicians, represented by Chen Jingrun, overcame many difficulties and bravely climbed the peak, which will inspire and inspire young people with lofty ideals to work hard to make China a world mathematical power in 2 1 century!