The interesting thing is that tickets to the top clubs in the world of mathematics and academia are just delivered to your door.
There is no doubt that as one of the three major world-wide mathematical problems in the past two hundred years, Goldbach's conjecture has a very high status and importance in the history of the development of modern mathematics. It is the most legendary mathematical conjecture.
one.
From a rigorous perspective, from the time Goldbach's conjecture was proposed in 1742 to 2021, the time span is 279 years, nearly three hundred years, and there is still no true proof of '1+1', proving that the progress of the deduction will always stay at '1
+2', proves that the derivation time will always stay in 1966, and proves that the deducer is Chen Jingrun.
Almost the entire human civilization has been stumped by Goldbach's conjecture.
When it comes to Goldbach's conjecture, two people are inseparable. One is the number one disruptor and conjecture maker in mathematics in the 18th century, Goldbach. The other is a man who stands at the pinnacle of the history of science and mathematics. He enjoys
The title of 'King of Mathematics', the most prolific classmate in history, Leonhard Euler.
Goldbach is actually a very interesting person. First of all, his family owns a mine and lives a wealthy life. His biggest hobby is chasing stars. Of course, he chases contemporary scientists such as Euler, Bernoulli, Leibniz, and Jacobs.
, as a son of a wealthy family, Goldbach did not have the hobbies of being involved in the upper class. Instead, he liked mathematics and was an amateur mathematics enthusiast.
Yes, Goldbach himself is just an amateur mathematics enthusiast, not a professional mathematician. One morning, when Goldbach was studying mathematics, he suddenly got inspiration and discovered a subtle and elusive thing in 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 original version of Goldbach's conjecture. After Goldbach discovered this, he immediately became excited. After some experiments, he confirmed these two propositions. However, he could not prove it because odd prime numbers are infinite. In the end, he could only write
I wrote a letter to my friend and big 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. However, Euler combined Goldbach's two propositions into one and gave a brand 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 specifically knows that the current Goldbach's conjecture generally uses the Euler version. For ordinary people, the most abstract and difficult to understand part of Goldbach's conjecture is -
—1+1.
After many people see this 1+1, they will subconsciously conclude that 1+1=2. These mathematicians are really full and have nothing to do. They can't solve such a simple math problem.
There are also people who have learned a little bit and spread the word to the people around them that students learn 1+1=2 and scholars study why 1+1=2.
In fact, these are all wrong. 1+1 is the abbreviation of Goldbach's conjecture. It is not to prove that 1+1=2, but to prove that any even number greater than 2 can always write '1' prime number+
The sum of '1' prime numbers.
This is 1+1.
It is written in "The Charm of Mathematics" that when Goldbach's conjecture was proposed, the originally calm mathematical world was instantly stunned by Goldbach's hammer. Countless people were confused. Since then, there has been a stir to prove Goldbach's conjecture.
A wave of conjecture.
There are currently two ways to prove Goldbach's conjecture. One is the almost prime numbers that are most familiar to the public, and the other is the exception set. As for the later three prime number theorem and the almost Goldbach problem, they have not yet appeared.
Almost prime numbers are the most intuitive, and the progress in proving Goldbach's conjecture is extremely rapid. In 1920, the Norwegian mathematician Brown used an ancient and classic 'sieve method' to prove that every sufficiently large even number can be expressed as the sum of two numbers.
, and these two numbers can be expressed as the product of no more than 9 prime factors.
This proposition is simply called ‘9+9’.
The sieve method set off a new wave of upsurge in the world of mathematics, and mathematicians immediately changed their main direction of research, including Hua Luogeng, who went to study at the University of Cambridge in England.
In 1924, German mathematician Ratmacher proved ‘7 + 7’.
In 1932, the British mathematician Esterman proved ‘6 + 6’.
Now in 1937, progress in proving Goldbach's conjecture has reached a new peak, with Italian female mathematician Lacy proving '5+7'.
Of course, a question arises. The importance and status of Goldbach's conjecture are understandable. So, what is the significance of proving Goldbach's conjecture?
To put it bluntly, what’s the use?
For the current stage of human civilization, it seems that there is really no high-value practical use. If there is one, it is honor, an honor that stands at the pinnacle of wisdom.
Proving Goldbach's conjecture can neither increase land production nor make airplanes fly faster.
Of course, the reason why the mathematical community wants to prove Goldbach's conjecture, and the motivation of countless mathematicians who work tirelessly to prove it, is not the Fields Medal or academic status, but because it is there, it is poetry and the 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 1,800 years later.
The mathematician Galois founded group theory in 1831, and it was applied in physics more than a hundred years later.
Matrix theory was founded in 1860 AD, and quantum mechanics was applied sixty years later.
Gauss, Riemann, Romanczewski and others proposed and developed non-Euclidean geometry.
Gauss, the prince of mathematics, spent his whole life exploring the practical applications of non-Euclidean geometry, but he achieved nothing and died with regrets. One hundred and seventy years later, this theory, which was useless at the time, combined with tensor analysis, became Einstein's theory.
The core foundation of Stein's general theory of relativity.
Proving Goldbach's conjecture does not have much practical significance for human civilization at this stage, but it may be the basis for human civilization to move toward the universe.
However, for Yu Hua at this stage, proving Goldbach's conjecture has more practical significance. Not to mention proving '1+2' or '1+3', it is enough to prove '5+5'.
With this "5+5" proven academic achievement, let alone graduating from the Department of Mathematics of National Tsinghua University, even if you graduate from Princeton University in Mathematics, it will be easy, right?
This is the crown jewel in the history of mathematics!
There is a saying that describes Gechai: 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 that push the crown forward are enough for anyone to instantly enjoy the highest treatment in the world of mathematics and academia.
After all, mathematics and academics are not separated in this era.