The "1+ 1" studied by China mathematician Chen Jingrun is not arithmetic 1+ 1. Many people mistakenly think that Chen Jingrun is studying why 1+ 1 equals 2, and the algorithm is defined by human beings, so there is no need to study it. Chen Jingrun's "1+ 1" is actually synonymous with Goldbach's conjecture.
Goldbach conjecture is one of the three major mathematical problems in modern times. There is only one conjecture: any even number greater than 2 can be written as the sum of two prime numbers, such as 12 = 5+7, 14 = 3+ 1 1, 16 = 5+ 1655. Ordinary people can fully understand the topic, but what they care about is not how to prove it, but what is the practical significance of proving Goldbach's conjecture? In other words, what's the use of proving these mathematical conjectures that have nothing to do with human life?
Taking science as an example, the field of science can be divided into applied science and basic science. Applied science is a discipline with clear research direction, such as 5G technology and aerospace engineering, which can make a major breakthrough in a short time and have a great impact on human life; Basic science mainly explores the essence of everything, such as quark splitting, and looks for the basic particles that make up the world. This kind of research is difficult to be directly transformed into technology and has little to do with human life, so many people have doubts. What's the use of studying these irrelevant things? Can you eat enough? It is better to do some practical research. It is true that basic science is often questioned and mistaken for cheating funds, but the development of applied science is based on basic science. If applied science is a tall building, basic science is the foundation. How can there be a tall building without a foundation? Mathematical conjecture, like basic science, has few direct applications, but it can extend into a huge branch to solve many problems that may be encountered in the future.
Schrodinger equation
When Descartes invented imaginary number I 400 years ago, he didn't expect imaginary number I to appear in Schrodinger equation 300 years later. Riemann himself would never have thought that Riemann geometry, which he founded in the19th century, became the mathematical basis of Einstein's general theory of relativity in the 20th century. When the group theory of mathematics was born, no one would have thought that it could find the shortest step to restore the Rubik's cube. Theoretically, there are 432.5 billion combinations of the third-order Rubik's cube, but group theory proves that any third-order Rubik's cube can be restored in only 20 steps at most. One of the significance of proving Goldbach's conjecture is to lay a foundation for future science and technology. The essence of learning mathematical science is to explore the unknown, not to start exploring after problems appear. Human science and technology will not go far without solving unknown problems. The second significance of proving Goldbach's conjecture is that in the process of proving, new mathematical ideas and tools have been discovered, and other derivative theorems have been supplemented. These by-products are more valuable than the problem itself. To solve the world's mathematical problems, we often need to find new methods. In this process, new branches of mathematics will be born and new systems will be established. For example, on the basis of Riemann conjecture, there are more than 1000 mathematical inferences. Once Riemann conjecture is confirmed in the future, the theorem behind it will be "the biggest beneficiary".
Chen Jingrun has proved that the weak conjecture of Goldbach's conjecture "1+2" is to apply the existing mathematical tools to the extreme by using an even number screening method large enough, but the fly in the ointment is that no new tools have been created. If we want to prove Goldbach's conjecture "1+ 1", it is difficult to make a breakthrough by using the existing mathematical theorems, and we need to create our own mathematical tools with great probability. Once "1+ 1" is proved, it will produce domino effect and bring the value of by-products, which is of great significance to prove mathematical conjecture.
It is proved that the third meaning of Goldbach conjecture is practical application. Goldbach conjecture is actually to study the law between numbers, and the law of numbers is closely related to human life. Take prime number as an example (the definition of prime number has been given at the beginning of the article). Mathematicians are particularly obsessed with prime numbers and like to study the law between the largest prime number and the prime number. These studies have direct applications. For example, RSA encryption used in network information security uses prime numbers to encrypt important information. Mathematicians have not found a fast prime factorization algorithm for the maximum number generated after encryption, and mathematicians can't crack it. Therefore, the prime number encryption algorithm can protect the national network security. Prime numbers that seem to have nothing to do with human life are actually closely related. Thinking can't just focus on the present. Just because Goldbach's conjecture is not directly applied now does not mean that it will not be used in the future. Its value has always existed, and the key lies in human excavation.