"Fake."

In a student dormitory at Princeton University, a concise English word jumped out from a bed. The person who said this was none other than Kraig Appiah, the second graduate student recruited by Zhao Xiancai this time.

"Krag, what's wrong? What problems did you encounter with your graduation thesis?" After hearing his sudden words, roommate Krag Appia also asked with some curiosity. After all, his roommate knew about it.

, I usually have a good temper and seldom say these words.

"This time I successfully applied for the graduate degree of the Chinese professor. Unexpectedly, he directly gave me a big task. Take a look at this book list."

Cragg got up from his bed and handed the tablet to his roommate.

…

Zhao Xiancai, who posted this in the group, naturally didn't know that the two graduate students he had just recruited would react like this after seeing his message. After sending the message, he turned his attention to Goethe.

Bach's conjecture and physics.

When time flew by and came to the beginning of March, Zhao Xiancai finally read almost all the literature on Goldbach's conjecture.

However, when he was about to retreat again to study the proof of Goldbach's conjecture, someone from the school came to see him.

It turned out that Zhao Xiancai had returned from a walk outside, and the school was ready to let him start teaching. As for what he would teach, it all depended on what Zhao Xiancai wanted to teach.

"If the school lets me choose, I will choose analytic number theory. It just so happens that I have been studying prime numbers recently.

Analytic number theory is a branch of number theory that uses analytical methods as research tools, and I will definitely use it when I study Goldbach's conjecture later."

Zhao Xiancai said to the teacher who came to see him from the school.

"Analytical number theory? OK, this is exactly related to the prime number problem you are currently studying. Then the school will arrange a course in analytic number theory for you."

After Zhao Xiancai finished speaking about his choice, the teacher said the same thing.

Analytical number theory was developed when elementary number theory could not solve the problem. However, if there is a universal formula for prime numbers that can express all prime numbers, then some contents in the scope of analytic number theory will automatically be transferred to the scope of elementary number theory, such as

The proven twin prime conjecture and the currently unsolved Goldbach conjecture.

After that, Zhao Xiancai began his retreat.

It's just that because he still needs to go to class, Zhao Xiancai's current retreat cannot be like the previous one, where he locked himself in the house for several weeks in a row and didn't go out except for eating.

After all, he still has to go to class, but even so, he only goes out during class.

Time flew by during Zhao Xiancai's retreat, and it soon came to June. However, because it was only the beginning of June, the highest temperature in Princeton during this period was only over 20 degrees, and Zhao Xiancai didn't feel it at all.

to the heat.

"I finally finished it. I didn't expect that a Goldbach's conjecture was not enough for me to completely perfect this mathematical method."

At this time, students at Princeton University were already preparing to start their vacation, so Zhao Xiancai no longer had to go to class. At this time, he was sitting on a chair in his study room, stretching, and thinking so while stretching.

road.

In fact, as early as May, Zhao Xiancai had solved Goldbach's conjecture.

Goldbach's conjecture is indeed correct.

But after proving Goldbach's conjecture, Zhao Xiancai was not in a hurry to compile it and publish it, because he felt that the mathematical methods he used to prove Goldbach's conjecture could actually be further improved.

Therefore, Zhao Xiancai continued to improve his proof of Goldbach's conjecture while improving his mathematical methods.

And this perfection took more than half a month to complete.

As for the proof of Goldbach's conjecture, Zhao Xiancai did improve it a bit.

It's just that when others improve, the proof process increases, while Zhao Xiancai's improvement reduces the proof process.

When he had just proved Goldbach's conjecture, Zhao Xiancai felt that if the proof process were compiled into a paper, it would be at least close to a hundred pages.

Now Zhao Xiancai has compiled it into a paper, but it only has about forty pages, which is more than half of what it was before.

After stretching, doing some operations on the computer, and sending it to the "Annual Review of Mathematics" and uploading it to arxiv, Zhao Xiancai stood up from the chair again, walked to the bookcase, and pulled out a physics book

The books started to read.

It's daytime now, and Zhao Xiancai doesn't rest for three or four hours a day like he did before, so he still has plenty of energy now.

A few minutes after Zhao Xiancai sent his paper proving Goldbach's conjecture to the Annals of Mathematics, Professor Deligne called him.

"Have you solved Goldbach's conjecture?"

When Zhao Xiancai answered the phone, but before he could say anything, Deligne on the other end of the phone said emotionally.

In fact, the biggest reason why Deligne was so excited was not because Goldbach's conjecture was really solved by Zhao Xiancai.

He is so old now, what kind of storms and waves has he not seen?

Even if the Riemann Hypothesis is solved, he will at most be a little surprised when he hears the news, and will not be so excited when he calls the prover.

[A novel app that has been running stably for many years, comparable to the old book-chasing tool, a source-changing app used by old bookworms, huanyuanapp]

It's because the time it took Zhao Xiancai to solve Goldbach's conjecture was too short.

Zhao Xiancai has been in Princeton for almost a year now, and he also knows about Zhao Xiancai's affairs. Zhao Xiancai has not done much research on Goldbach's conjecture before.

"Um.

Teacher, I actually think that the focus of my paper on proving Goldbach's conjecture this time is not that Goldbach's conjecture has been solved, but the new mathematical method I used in the paper."

Zhao Xiancai said.

"Is it the mathematical method you mentioned last time?

I haven’t read your article yet. I called you after receiving the news from the Annals of Mathematics, because I think if you think you have proved Goldbach’s conjecture, then Goldbach

My guess is that most of it will actually be solved.

I'm going to read your paper carefully now, you can do your work first."

After saying that, Professor Deligne hung up the phone without waiting for Zhao Xiancai to say anything.

"well."

Seeing that the usually steady teacher was so arrogant this time, Zhao Xiancai also smiled and smiled after hanging up the phone.

After an article like Zhao Xiancai's was uploaded to the Internet, there were more than one or two like Professor Deligne.

Especially as long as one scholar sees a paper whose author is named Zhao Xiancai on arxiv, it means that hundreds of scholars will soon know about this paper.

And when the title of Zhao Xiancai's paper was about proving Goldbach's conjecture, the news spread even faster.

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