Professor Garland said, "Of course not now, but you are still young and your future achievements may not be impossible. I think if Mr. Grothendieck were still alive, he would be willing to exchange mathematics with a young man like you."
Chen Song shook his head with a sober smile and said, "I don’t think Mr. Grothendieck would be willing to talk to me if he were alive. I am not a pure mathematician in his mind."
Chen Song said that he was not pure, not because he also studied physics, but because he had participated in Zhou Tiantong’s research, which was a military project of Xia Guojun.
And Grothendieck is an extreme pacifist. He opposes all wars and hates everything that has anything to do with them. That’s why he chose seclusion.
He used to work in the French Institute of Advanced Science, but when he found out that the institute was funded by NATO, he immediately left his job and chose to farm.
Professor Garland also thought of this and sighed naively and said, "Mr. Grothendieck is sometimes too stubborn. He should really not like you. He is more enthusiastic about his political thoughts than mathematics. When I was young, I once met my husband. On the one hand, I wanted to consult mathematics, but after listening to a lot of political propaganda, I couldn’t interrupt or refute him."
Professor Garland couldn’t help laughing at the thought of that experience. At that time, he was in a complicated mood, but now it is also an interesting experience to think about.
Instead of talking about Professor Grothendieck Garland, he said, "Are you going to prove Goldbach’s conjecture in your new mathematics? This is not an easy job. "
Chen Song said, "It’s just an attempt. A summer Goldbach conjecture means something different to me. I really hope to finish the unfinished work of my predecessors. Just as the theoretical body and mathematical method I studied are mainly in the field of number theory, it seems that the current screening method to study Goldbach conjecture has also advanced to the last step. It seems that there is no loss in trying it. I am not strong enough to verify it."
Goldbach conjecture can be said to be the first time that the mathematical circles in Xia state showed themselves to the world, and it is also the mathematicians in Xia state who have advanced Goldbach conjecture by many steps. At present, it is the closest proof that the mathematicians in Xia state proved Chen’s theorem and improved the screening method.
In fact, many people should have heard of Chen’s theorem, which can be abbreviated as "1+". Of course, it is not 1+=3, but "a sufficiently large even number can be expressed as the sum of two prime numbers or the sum of a prime number and a sub-prime number"
Goldbach conjecture is a name that many people have heard of, and conjecture is also very simple.
This conjecture originated from the Prussian (German) mathematician Goldbach, who found that an integer greater than an integer can be written as three prime numbers. At that time, the European mathematics community defaulted that 1 was also a prime number. Of course, we have not calculated it now, so it is the smallest prime number.
The modern mathematical expression discovered by Goldbach is that "an integer greater than 5 can be written as the sum of three prime numbers", such as 6=++, 7=++3, 8 =+3+3 …
However, Goldbach proved this conjecture, so he wrote to the mathematician Euler and asked him to help prove this conjecture.
In his reply to Goldbach, Euler came up with an equivalent conjecture, that is, we now call Goldbach’s conjecture that "an even number can be written as the sum of two prime numbers", such as 4=+, 6=3+3, 8 = 3+5 …
But unfortunately, even Euler could not prove the correctness of this conjecture, because although Goldbach conjecture is very simple, it is very difficult to prove it.
It can be said that until now, the Goldbach conjecture has not been found by computer exhaustive method in a limited range, and the counterexample says that Goldbach conjecture is likely to be correct
On the assumption that Goldbach’s conjecture is true, mathematicians have introduced another conjecture, that is, "an odd number greater than 5 can be written as the sum of three prime numbers", such as 7=++3, 9=3+3+3, and 11 =++7.
This conjecture is derived from Goldbach’s conjecture. If Goldbach’s conjecture holds, this conjecture must hold. However, this conjecture holds Goldbach conjecture, but it is not necessarily true. We say this conjecture is Goldbach conjecture, which is also called weak Goldbach conjecture, and it can also be called strong Goldbach conjecture relative to Goldbach conjecture.
目前弱哥德巴赫猜想已经在十几年前得到了证但是哥德巴赫猜想依然是横亘在数学界一座高山
哥德巴赫猜想是数学界在时最长数学猜想一历代有很多数学家试图去证它但始终法完成最终工
到数学家们对哥德巴赫猜想证就不得不到殆素数这个概念
殆素数就是素数因不超过某一个常熟正整数比如前在陈氏定理说到二次殆素数就是两个素数相乘积比如说6=*3、9=3*3、35=5*76、9、35都是二次殆素数
目前数学界对哥德巴赫猜想证进展多数都都是筛法其中不得不到是数学家布朗在1919年证了“每个充分大偶数都可写成两个数和并且这两个数每个都是不超过9个素因数乘积”这个论也可被简写成“9+9”
而如果按照这个思路继续推演去继续缩减素因数字数把“9+9”变成“1+1”那么哥德巴赫猜想就能够得到证
此后数学家一代代努力先后证“7+7”“6+6”“5+5”……
一直到1966年夏国数学家陈景润将证推到了“1+”也就是我们前到陈氏定理
如今半个世纪时已经过去了却始终没有人能够完成最后一步目前数学界普遍认想要目前筛法证哥德巴赫猜想很可能是行不通想要证筛法需要新数学方法和数学工具
I have to say that this mathematical problem, which has been in the field of mathematics for three centuries, is really the most difficult mathematical problem in the world-its difficulty has also attracted a generation of algebras to challenge it. After all, mathematicians are puzzle-solving enthusiasts to some extent.
Because it is famous enough and its expression is so simple, it also attracts the subjects of mathematics and civil sciences. Every year, many subjects claim to have proved Goldbach’s conjecture, but they use elementary mathematics methods …
After listening to Professor Garland’s words, Chen Song really didn’t do too much because, as he and Professor Garland said, he didn’t have any obsession with Goldbach’s conjecture, just regarded it as a touchstone.
In case he solves Goldbach’s conjecture with a new method … then he doesn’t have to try another simple problem. Even if he has proved the theorem, he doesn’t believe it. People don’t mind being proved again by the new method.
Put away your mobile phone and Chen Song called all the students from several colleges.
In the first session, four students, Ha Yu, Bai Zheng, An and Li Andel, all got their master’s degrees, and now they continue to study with him for their doctor’s degrees.
In the second session, two students, Yuan Fu and Zhou Fuzhu, chose to study a topic together, but they have done well so far and have published two good papers together.
The third session of Wu Fen and Xu Xiaohua are both girls. At present, they have just finished their basic work, mainly helping their brothers and sisters, and they have also been mixed into several second classes.
Graduate students who just recruited this year will not report until the semester, and they can’t help at present.
After asking about their progress, Chen Song said, "I want to give you a job to do, but you are not required to participate. You can choose for yourself."
This is also considering that students have their own research, and Chen Song has always disliked reluctance, although many tutors like to treat students as cheap labor.
Ha Yu four people immediately expressed their willingness to participate in the safety and said, "Professor, we should try our best to take care of both sides of the work. If necessary, we can temporarily put our own research."
Chen Song laughed. "You should know that research is time-sensitive. If others do it before you, your research may be in vain these years. Aren’t you worried at all?"
Ann affirmed, "I don’t think what you ask us to do will definitely not affect our own research."
Chen Song said in tears, "Then I really thank you for believing in Fuyuan. What about you?"
Yuanfu and Zhou Fuzhu hesitated and said that they would join. After all, they did their own research, that is, they always felt that they could do great things with their teachers!
Yu Cai Kenichi has not studied Wu Fen and Xu Xiaohua himself, so he has no hesitation.
When Chen Song saw that they had all made a decision, he said, "Now that you have all made a decision, this will be your main job in the next few years. I hope we can finish this job together before Ha Yu and his doctoral students graduate."
Ha Yu and others were obviously excited when they answered the question. Now they know that the teacher has proved the twin prime conjecture. The paper was published. However, although Chen Song studied for several years, Chen Song proved that the twin prime conjecture work was done by himself. They were not able to participate in it, which made them somewhat disappointed, especially when they saw that those in the Institute of Physical Education had followed the teacher into the large-scale particle collider project team.