Xiao Ran pulled Yang Chengyou to walk quickly in front, and during the process, Yang Chengyou's strange screams of "hehe" and "ho ho" were heard, and the scene was very weird.

This made Chen Meiyi, who was following the two of them, look confused, and couldn't understand what the two were crazy about.

After a while, the three of them finally walked into Yang Chengyou's bedroom, and in his devilish steps and strange low roar, Xiao Ran took the manuscript he handed over.

This is a paper entitled "The Law of the Distribution of Mersenne Primes: A Proof of Zhou's Guess".

Zhou's guess was put forward by the Chinese mathematician and linguist Zhou Haizhong in 1992 in the article "The Distribution Law of Mersenne Prime Numbers".

It reads: When 2^(2^

）

+1)), Mp has 2^(

+1)-1 is a prime number, where p is a prime number;

is a natural number, and Mp is a Mersenne prime.

This expression may seem simple, but it is very difficult to decipher the guess.

Judging from the current research literature, some mathematicians and mathematics enthusiasts have tried to prove Zhou's conjecture.

Although racking their brains, they still found nothing!

However, today, this very difficult guess was proved by a 17-year-old sophomore!

Even though Xiao Ran already knew about this result, his fingers were still trembling with excitement.

Xiao Ran looked at it carefully, and the paper specifically discussed the proof idea and brief process of "Zhou's speculation", and pointed out the citations of the literature used.

The proof process is streamlined, and some of the key proof steps are not written above, but summarized in one sentence, and then a conclusion is obtained, and then subsequent proofs are continued according to this conclusion.

"The law of the distribution of Mersenne primes, the proof of Zhou's guess?" Chen Meiyi looked at the title of the paper, her face full of disbelief.

"This, classmate Chengyou, you won't really prove Zhou's guess, right?" Chen Meiyi trembled in her heart, looked up at Yang Chengyou with a strange expression and asked.

"Hey, it's a fluke, it's just a fluke!"

"No, it won't, this kind of world problem, countless mathematicians and math experts have not proved it, and you have proved it as a high school student?"

Although it was unbelievable, although it felt very ridiculous, seeing Xiao Ran's reaction, Chen Meiyi still believed it a little.

"Haha, yes, it's finally finished by your kid!" After Xiao Ran finished reading the last line, his face showed excitement, he laughed, patted Yang Chengyou on the shoulder, and praised.

"Yes, Brother Ran, this can't be true, is it? How does this feel so fake?"

"Yes, Chengyou has already proved it before participating in the training camp, only the proof of the last key expression, I thought it would be next month at the earliest, but I didn't expect him to finish it so quickly. ”

After Xiao Ran finished speaking, he looked at Yang Chengyou and said, "You kid can, there is no problem with the format of the paper, only the English translation in a few places is not very appropriate, I will help you revise it, and you can submit it." ”

Yang Chengyou was also very excited, he felt that all this was too dreamy, it was only less than a year, and he had achieved such an achievement, it was really unimaginable.

"Thank you, Mr. Xiao, then I want you to help submit this paper, I don't know which magazine to submit to, hehe!"

Xiao Ran pondered for a moment and said, "Well, leave this matter to the teacher!"

After finishing speaking, he told Yang Chengyou not to make a noise about the matter, so as not to be right or wrong, and then left with dozens of pages of papers.

Xiao Ran and Chen Meiyi are basically living together now, although they are not officially living together, but the two seem to be accustomed to it.

He went to the teacher's apartment, followed by Chen Meiyi.

But something is clearly not quite right between the two today.

First of all, Xiao Ran who walked in front, he seemed to forget that he was still following his girlfriend behind him, he walked quickly by himself, without the slightest intention of waiting for his girlfriend in the rear.

The second is that Chen Meiyi doesn't seem to want to keep up with her boyfriend in front of her, and she has a strange expression on her face and a wooden expression.

In the eyes of outsiders, the two are just lovers who have an awkward relationship, and one ignores the other.

In the gossipy eyes of passers-by, Xiao Ran walked quickly into his room.

The journal to which the paper was submitted, he already had a bottom in his heart.

Proofs of mathematical conjectures of great significance such as these, of course, should be published in the most prestigious and authoritative journals.

The Annals of Mathematics was his chosen journal, published by Princeton University, the world's center of mathematics, and the Institute for Advanced Study in Princeton.

Annals of Mathematics is one of the top academic journals in mathematics indexed by SCI, but its impact factor is not high, only 3.33 in 2029.

However, this does not shake its position in the mathematical community, and in 2029, that is, last year, the journal published only 48 papers, which shows the rigor of its review.

Opening the official website of the Annals of Mathematics, Xiao Ran was slightly surprised, this official website is too concise, right?

The page only provides basic features such as editorial information, submission guidelines, contact information, and subscription prices, and does not have the momentum of a top journal, but perhaps this is the style that mathematicians like.

No matter how beautiful the decoration is, it is only a façade, and it is better to make them feel more comfortable with the dry goods directly.

After scanning the paper paper in his hand, Xiao Ran organized it into a PDF file.

Fill in the contact information on the official website, upload the paper, and click send.

After the message of "Sent Successfully" was displayed on the page, Xiao Ran exhaled lightly.

All you have to do is wait for you to do it.

In the signature of this paper, Yang Chengyou is the first author, and Xiao Ran is the second author.

Although in this process, basically all the ideas and proofs were completed by Yang Chengyou alone, Xiao Ran also played a very important role in this.

Of course, papers generally only look at the first author.

"Brother Ran, did you really release it like this? Professor Liu Qingyun, a professor of the Department of Mathematics of Yenching University and an academician of the National Academy of Sciences, is on Liu Jing's side, why don't we show him?" Chen Meiyi couldn't help but be a little worried when she saw Xiao Ran directly upload the paper.

If this paper is not rigorous, after it is published, it is estimated that it will be said that the paper is fraudulent.

If there is no problem with the conclusion of the paper, but if there are some flaws in the layout or argumentation process, then it is very likely that the manuscript will not be passed, and it needs to be revised again and submitted for review.

This undoubtedly prolongs the review time of the paper, and normally speaking, Xiao Ran's behavior is indeed inappropriate.

"Hehe, it's okay, I know it in my heart! But your proposal is very good, I should show it to Professor Liu first, but I was too excited just now to forget about it. ”

After Chen Meiyi's reminder, Xiao Ran thought that there happened to be an academician who studied number theory here in the fifth middle school.

…………

Professor Alberg, a Norwegian number theorist and Fields Medalist who is now 67 years old, is still doing research on Mersenne primes at the Institute for Advanced Study in Princeton.

As for Zhou's speculation, he believes that it is extremely innovative and has created a new and enlightening approach, which is also reflected in the revelation of new laws.

Today, he was arranging his next research topic for his Ph.D., when he suddenly received a call from the editorial department of the Annals of Mathematics.

"Hello, Professor Alberger, excuse me, I'm Rex from the Annals of Mathematics, and we have received a research paper on Mason primes and need your help reviewing it, I wonder when you will be free?"

Professor Alberger was a little surprised, and after a moment of contemplation, he said, "Send me an email, and I'll take a look." ”

Hearing that Professor Alberg did not refuse, he immediately said happily: "Okay, okay, I'll send you an email, then I won't bother you, goodbye!"

Hanging up, Professor Alberg instructed his doctors and walked back to his office.

When he opened his laptop, he saw his mailbox flickering.

There have not been many papers on the distribution of Mersenne primes in recent years, and the research progress is not very large.

Even if there are some papers on the study of the distribution law of Mersenne primes, it is not easy for him to review the manuscript, unless the "Mathematical Annals" cannot handle it, and he will be asked to help review it.

Open your mailbox and download the paper file to your local computer.

Professor Alberger poured himself a cup of coffee.

He rested his feet on the edge of the table and slowly clicked on the PDF paper file on the table.

"Proof of Zhou's Guess on the Distribution Law of Mersenne Prime Numbers"

When he saw this title, Alberg looked straight, and a hint of righteousness just appeared on his face, but when he saw the author, he was a little disappointed.

"Yang Chengyou, Xiao Ran, Huaguo Lingshui County No. 5 Middle School?"

He frowned, and an ugly look appeared on his face, "How did this kid Rex do it? The paper submitted by a middle school in Huaguo also needs me to review it?"

Although he had a disagreement, the rigorous habits he had developed over a long period of time made him persist in watching it.

"Huh?"

Suddenly, Professor Alberg was surprised, "This proof idea is relatively innovative, and it seems to be feasible." ”

After looking at it for a while, his face became more and more solemn, and his feet on the table had been lowered at some point.

He sat upright, his face solemn, and he was focused.

Even the cup full of coffee was already cold, and he didn't notice.

If you are familiar with Alberg, you will definitely see that he has entered into deep thinking.

Suddenly, he opened the drawer, took out a thick layer of scratch paper and pen from it, and worked on it as he read the paper.

It wasn't until it got dark that he paused for a moment.

Turning on the light, Alberg continued to calculate on the scratch paper, and by this time there were already a dozen sheets of scratch paper with various mathematical symbols written on it.

"Professor, it's time for dinner!"

Just then, his assistant cautiously walked in and reminded him that it was time for dinner.

But he didn't seem to hear it, and was frowning at the scratch paper.

"It's just the most crucial step to prove it, and I thought about it all afternoon, and I didn't think about how to prove it, how did he prove it?" he muttered.