my scientific age

Chapter 67 Prove '5+5'!
The interesting thing is that the tickets to the top clubs in the world of mathematics and academia are just delivered to the door.

Undoubtedly, as one of the three most important worldwide mathematical problems in the past 200 years, Goldbach's conjecture has a very high status and importance in the history of modern mathematics development. It is one of the most legendary mathematical conjectures .

From a rigorous point of view, from the Goldbach conjecture in 1742 to 2021, the time span is 279 years, nearly 300 years, and there is still no real proof of '1+1', proving that the deduction progress will always stay at '1+ 2', prove that the deduction time has always stayed in 1966, and prove that the deduction is Chen Jingrun.

Almost the entire human civilization was stumped by Goldbach's conjecture.

When it comes to Goldbach's conjecture, two people are inseparable. One is the number one smasher and conjecture proposer in mathematics in the [-]th century, and Goldbach's classmate is a man who stands at the pinnacle of the history of science and mathematics. The title of 'King of Mathematics', the most prolific classmate of Leonhard Euler in history.

Goldbach is actually a very interesting person. First of all, he has a mine at home and a wealthy life. His biggest hobby is chasing stars. Of course, he is chasing contemporary scientists such as Euler, Bernoulli, Leibniz, and Jacob. , As a child of a wealthy family, Goldbach did not have a hobby in the upper class. Instead, he liked mathematics and was an amateur mathematics enthusiast.

Yes, Goldbach himself is just an amateur mathematician, not a professional mathematician. One morning, when Goldbach was studying mathematics, he suddenly got inspiration and found a subtle and elusive from abstract mathematics. The essence of , that is - 1, any even number greater than or equal to 6, can be expressed as the sum of two odd prime numbers, 2, any odd number greater than or equal to 9, can be expressed as the sum of three odd prime numbers.

This is the initial version of Goldbach's conjecture. After Goldbach discovered this, he immediately became excited. After some experiments, he confirmed these two propositions, but he could not prove it, because odd primes are infinite, and finally he can only write Letter to his friend and star Euler, asking for help.

Euler received the letter and studied it carefully and found that the two propositions proposed by Goldbach were indeed correct, but... he couldn't figure it out either, but Euler combined the two propositions of Goldbach into one and gave a new version, That is, any even number greater than 2 is the sum of two prime numbers.

Anyone here who has studied Goldbach’s conjecture knows that the current Goldbach’s conjecture is generally the Euler version, and for ordinary people, the most abstract and difficult to understand place of Goldbach’s conjecture is— —1+1.

After many people see this 1+1, they will subconsciously come to 1+1=2. These mathematicians are really fed up and have nothing to do. They can't do such simple math problems.

还有些学了一些皮毛的人，向周围的人宣扬，学生是学1+1=2，学者研究为什么1+1=2。

实际上，这些全是错的，1+1是哥德巴赫猜想的简称，并不是要证明1+1=2，而是要证明：任何一个大于2的偶数总能写‘1’个质数+‘1’个质数的和。

This is 1+1.

It is written in "The Charm of Mathematics" that when Goldbach's conjecture was put forward, the originally peaceful mathematical world was instantly smashed by Goldbach's hammer, and countless people were full of confusion. A wave of speculation.

There are two ways to prove Goldbach’s conjecture at this stage, one is the most familiar almost prime number, and the other is the exception set.

Almost prime numbers are the most intuitive, and the progress in proving Goldbach's conjecture is extremely rapid. In 1920, Norwegian mathematician Brown passed an ancient and classic 'sieve method', proving that every sufficiently large even number can be expressed as the sum of two numbers , and these two numbers can be respectively expressed as the product of no more than 9 prime factors.

This proposition is abbreviated as '9+9'.

The sieve method set off a new round of climax in the world of mathematics, and mathematicians immediately changed their focus, including Hua Luogeng, who went to study at Cambridge University in the United Kingdom.

In 1924, German mathematician Ratmacher proved '7 + 7'.

In 1932, British mathematician Esteman proved '6 + 6'.

In 1937, Goldbach's conjecture proved that progress reached a new peak, and the Italian female mathematician Lacey proved '5+7'.

Of course, a question arises. The importance and status of Goldbach's conjecture are beyond reproach. So, what is the significance of proving Goldbach's conjecture?
To be blunt, what's the use?

For the current stage of human civilization, it seems that there is really no practical use of high value. If there is one, it is honor, an honor that stands at the pinnacle of wisdom.

Prove that Goldbach's conjecture can neither increase land production nor make planes fly faster.

Of course, the reason why the mathematical world wants to prove Goldbach's conjecture, and the motivation of countless mathematicians trying to prove it, is not the Fields Medal and academic status, but because it is there, it is poetry and distance.

The ancient Greek geometer, Apollonius, created the theory of conic sections, which was applied to the theory of planetary orbits by the German astronomer Kepler 800 years later.

The mathematician Galois founded group theory in 1831, and it was applied to physics more than a hundred years later.

The matrix theory, created in 1860 AD, applied quantum mechanics 60 years later.

Non-Euclidean geometry was proposed and developed by Gauss, Riemann, Roman Chevsky and others.

Gauss, the prince of mathematics, spent his whole life exploring the practical application of non-Euclidean geometry, but he failed in his life and died with regrets. After 170 years, this useless theory at the time, combined with tensor analysis, became Einstein's general theory of relativity core foundation.

Proving Goldbach's conjecture does not have much practical significance for the current stage of human civilization, but it may be the basis for human civilization to go to the universe.

However, for Yu Hua at this stage, the practical significance of proving Goldbach's conjecture is much more than proving '1+2' and '1+3', as long as proving '5+5' is enough.

With this '5+5' academic achievement, let alone graduate from the Department of Mathematics of National Tsinghua University, even if you are a graduate student in mathematics at Princeton University, that would be easy, right?

This is the crown jewel in the history of mathematics!

There is a sentence that describes Geguai, the queen of natural science is mathematics, the crown of mathematics is number theory, and Goldbach's conjecture is the jewel in the crown.

The academic achievements of taking the crown one step forward are enough to make anyone instantly enjoy the highest treatment in mathematics and academia.

After all, mathematics and academia are not separate in this era.

(End of this chapter)