God knows how much Li Mu wanted to scold his mother when he saw that this task was promulgated.

Are you kidding!

Pick a random math problem to solve, and then you just pick out four well-known math puzzles?

Needless to say, the Riemann conjecture has been solved by mathematicians all over the world since 1859, when Bonnhard Riemann put forward this conjecture, but it has stumped the entire mathematical community for nearly two hundred years.

As one of the most important conjectures in all current mathematical problems, one of the important reasons why the Riemann conjecture is so attractive to mathematicians is that it has a very accurate prediction of the distribution of prime numbers.

For mathematicians, it is a dream to know the specific distribution of prime numbers.

It is precisely the research of mathematicians day and night that has led to more than 1,000 propositions in the mathematical community, all based on the premise of the Riemann conjecture.

In other words, once the Riemann conjecture is proved, all of these more than 1,000 propositions can be immediately turned into theorems, greatly enriching the mathematical knowledge base.

So Li Mu never thought that the system would put this kind of problem on this kind of task.

It's clear that you won't let him solve it!

The same is true for several other issues.

For example, the Hodge conjecture, although the history of this conjecture is not as old as the Riemann conjecture, its importance to the mathematical community is no less than the Riemann conjecture, and even in the difficulty of proof, it is second only to the Riemann conjecture.

As for the BSD conjecture, the difficulty is also not low.

These three conjectures belong to the seven major mathematical problems of the millennium, and they are the problems that all scholars in the field of mathematics are committed to solving.

The Goldbach conjecture is the highest, the first three are only famous in mathematics, but the Goldbach conjecture is famous all over the world.

If the crown of mathematics is number theory, then the Goldbach conjecture is the crown jewel.

Although it is not included in the top seven math problems of the millennium, that does not mean that it is not difficult.

The problems that can be included in the seven major mathematical problems of the millennium are of great substantive significance to the academic community, and once solved, they will be able to bring great impetus to the development of the academic community.

If Goldbach's conjecture is solved, it will not be as important to the academic community as those problems.

It's just that, as there is a saying, number theory is a game of genius, and if Goldbach's conjecture is solved, it means that the game has been cleared by a genius.

This is kind of symbolic.

And in terms of difficulty......

Maybe Goldbach guessed a little simpler, but how much simpler?

Nobody knows.

In the end, Li Mu couldn't hold back and scolded his mother again: "System! You come out for the master! Can such a task be promulgated by man? ”

Oh, and the system really isn't human.

Damn.

Just when he was complaining frantically in his heart, Andrew Wiles saw his student's angry look and couldn't help but wonder: "What's wrong with you." ”

李牧回过神，赶快收敛了一下表情，然后说道：“没什么，我想到了高兴的事情。 ”

Wiles was stunned for a moment, could that expression be a happy thought?

“什么高兴的事情?”

"My wife...... Ahem, that's it, it's ......"

"Okay, I don't need to say any more, I understand." Wiles waved his hand and said with a smile.

Li Mu: "?? ”

What do you know?

Did he say anything?

……

Walking out of Wiles's office, Li Mu estimated that Professor Wiles probably misunderstood something, and when he left, his expression was wrong.

“算了，还不如想想该选择哪个问题解决吧。 ”

Shaking his head, his mind returned to the task.

Whether it is the Riemann conjecture, the Hodge conjecture, or the BSD conjecture, the difficulty is much higher, and the Goldbach conjecture is easier for Li Mu to use.

毕竟哥德巴赫猜想是一个数论的问题，对于已经解决了几个数论问题的他来说，也确实要更好理解。

"Then, choose the Goldbach conjecture."

The jewel in the crown of mathematicsHe has already picked off the hail conjecture and the twin prime conjecture, and now, he is also aiming for this biggest pearl.

……

If we want to talk about history, the Goldbach conjecture is probably the oldest of the four conjectures of this task.

In 1742, Christian Goldbach, who was in the Russian Foreign Office, discovered an interesting problem: any integer greater than 2 could be written as the sum of three prime numbers.

And this is the original statement of Goldbach's conjecture.

Goldbach could not solve this problem, so he wrote to consult Euler, a mathematician who was famous at the time.

In this regard, a letter sent from Russia to Switzerland officially set off a revolution in the study of prime numbers in the mathematical community.

In his reply to Goldbach, Euler agreed with this conjecture, although he could not prove it, but he also gave a more complete statement: every even number greater than two can be written as the sum of two prime numbers.

The Goldbach conjecture that modern mathematicians have worked on is Euler's statement.

Interestingly, it was precisely because he found that he could not prove this problem that Euler began his research on the distribution of prime numbers, which influenced later generations, including the formulation of the Riemann conjecture, which has a certain relationship with this matter.

"It's a question that's old enough."

In the library of Oxford University, Li Mu sat on a desk leaning against the corner, and after carefully studying the history of Goldbach's conjecture, he couldn't help but sigh with emotion.

Before solving this famous problem, it is also his habit to read the history of the development of this problem.

Nearly 300 years have passed, and the results of the mathematical community on Goldbach's conjecture have been very rich, and in 2013, the weak Goldbach conjecture has been solved, and the solver is none other than Harold Hoofgart of the École Normale Supérieure in Paris.

But the Jongoldbach conjecture still makes the entire mathematical community scratch its ears and cheeks.

The statement of the weak Goldbach conjecture is...... Any odd number greater than 5 can be written as the sum of three prime numbers, which seems to be a bit interesting, but this is about odd numbers, and Brother Qiang guesses that it is about even numbers, and it will be slightly different. ”

"But whether it's even or odd, there is always something that can be connected in the use of methods......

groping his chin, the fourth-level mental computer was full of numbers.

Suddenly, at this time, a girl sat down in the seat next to him.

"Hey, Lee, long time no see."

Li Mu was stunned for a moment, then turned his head to look at it, and immediately recognized it.

He also smiled and said hello: "Isa, long time no see." ”

The girl's name is Isa Grosvenor, and she is also a graduate student in mathematics at Merton College, but her supervisor is not Andrew Wiles.

As for why they know each other, it's simply because they are neighbors.

Merton College's graduate student dormitories are not gendered, after all, they are all single rooms, so there is not so much attention.

“你最近可是把物理学姐给闹的天翻地覆，我都听说过了，维度力，真的有那么神奇吗？”

Li Mu said with a smile: "Whether it is dimensional forces or other fundamental forces, they are all magical, because it is these fundamental forces that give birth to all kinds of phenomena in our universe. ”

"So what's really amazing is actually the universe."

伊莎·格罗夫纳似懂非懂地点了点头，“宇宙可真是难以理解，就像是数学一样。 ”

Li Mu smiled: "The most incomprehensible thing about the universe is its incomprehensibility, but in the same way, the most incomprehensible thing about the universe is that it is incomprehensible, and the mathematics we study is to let us understand it better." ”

"It's a headache anyway, it's like Professor Licht's recent research topic, and he actually plans to study the Goldbach conjecture!"

Isha sighed helplessly, Licht was her mentor, and although he was not as famous in the mathematical world as Andrew Wiles, he also had quite a few heavyweight achievements.

"By the way, what are you studying?"

As she spoke, Isha glanced curiously at Li Mu's scratch paper.

Then she was stunned, "How do I feel about what you wrote...... It's a little familiar, and this seems to be Goldbach's conjecture as well? ”

Li Mu: "Uh...... Yes, I'm also preparing to study the Goldbach conjecture. ”

Isa's blue eyes widened suddenly, "You're actually going to study this too?" ”

"Oh my God, it looks like I'm going to have to persuade Professor Licht to give up sooner."

"You're a math conjecture grinder!"

…………

[Ten thousand more send, new January, ask for a monthly pass]

(End of chapter)