After staying up for so many days, I finally got a good night's sleep.

When he woke up in the morning, Chen Zhou only felt that his whole person was full of energy.

In addition, people are in good spirits on happy occasions, so when washing, looking at himself in the mirror, Chen Zhou only felt that this person seemed to be getting more and more handsome!

After breakfast, Chen Zhou, who came to the library again, began to fill in the papers according to the small parts divided the night before.

Writing a dissertation is already a relatively familiar thing for Chen Zhou.

Carefully calculated, from the cooperation with Shen Jing, to the UPC competition paper, to the topic paper analyzed by Clifford, Chen Zhou, as the first author and second author, has handled as many as three papers.

In particular, the topic papers analyzed by Clifford have accumulated enough experience in thesis writing for Chen Zhou.

It's just that Wu Xiping helped to retouch that paper, and now the paper can only rely on himself.

It's not that you can't ask Wu Xiping for help, it's just that the hail conjecture belongs to the category of abstract algebra and number theory, and does not belong to Wu Xiping's research direction.

So, instead of bothering others, it's better to rely on yourself.

And there are many papers in the future, have you been bothering Wu Xiping?

Chen Zhou was afraid that he would sacrifice Professor Wu's time with the baby......

One day is not enough time for Chen Zhou to sort out the papers.

I stayed in the library until closing time.

Chen Zhou and Yang Yiyi packed up their respective materials and prepared to return to the dormitory.

Just when Chen Zhou was holding a piece of scratch paper, ready to put it together.

His hand held on.

The equations on the scratch paper caught his eye.

Chen Zhou frowned slightly.

After glancing at the content of the scratch paper again, Chen Zhou slowly sat down in his chair.

Pick up the pen and circle the numbers on the scratch paper.

Then another line of equations was written next to it.

Habitually holding a pen and pointing at the scratch paper, Chen Zhou's brows furrowed deeply.

On the scratch paper, a black pen has pointed out a large hairball.

But Chen Zhou still hasn't figured it out.

Shaking his head slightly, he picked up the pen and crossed out the equation.

Then go ahead and pack your things.

At this time, Yang Yiyi, who had already packed up and was standing next to him, silently glanced at Chen Zhou's crossed out formula.

【limn→∞sup(Pn+1-Pn)/(lnPn)?? =1】

Yang Yiyi only felt that she was stunned, what kind of thing is this?

Sure enough, physics is more interesting than math......

I thought so, but when I got out of the library and walked to the nameless lake with Chen Zhou, Yang Yiyi couldn't help but ask: "Chen Zhou, what is the last line of equation you wrote?"

"Equation?" Chen Zhou thought for a moment, then said with a smile, "You see? That's the equation that Crummel conjecture. ”

Yang Yiyi: "Cramel conjecture?"

Glancing at Yang Yiyi, who obviously didn't know what this was, Chen Zhou explained: "Many mathematicians believe that the maximum prime interval is likely to be much larger, well, an order of magnitude greater than (logX)2. The prime interval of the order of magnitude (logX)2 occurs when the prime behaves like a collection of random numbers. ”

In response to this problem of the distribution of prime numbers, Clamel came up with a conjecture, which is the equation you see. Pn in the equation refers to the nth prime number. ”

After a pause, Chen Zhou continued: "So far, no one has been able to give an accurate answer to how far apart the continuous primes are. Although in 2014, Professor Tao Zhexuan and four other mathematicians proved the conjecture of Erdos, which became the most significant breakthrough in the prime interval problem in 76 years. ”

"But the prime interval proposed by the Edos conjecture is much smaller than that of the Cramel conjecture!"

Speaking of this, Chen Zhou didn't continue to talk anymore.

Because for Yang Yiyi, he doesn't need to, and there is no need to say so much.

Judging from his relationship with Yang Yiyi, it is impossible for Yang Yiyi to transfer to the study of mathematics.

And the question of prime numbers, or the direction of number theory, in this case, Yang Yiyi is almost impossible to come into contact with.

Yang Yiyi looked at Chen Zhou as if she didn't understand, thought about it, and asked softly, "Then why did you write this equation?"

Chen Zhou showed a look of regret on his face: "For a moment, I felt that I had grasped the key to solving the Kramel conjecture. But as it turned out, it was I thinking too much. ”

Hearing this, Yang Yiyi smiled and encouraged: "Maybe the time hasn't come, when the inspiration comes, I believe you can catch it." It's like the hail conjecture this time. ”

Chen Zhou smiled: "I hope so." ”

Inspiration is a momentary thing, and if you miss the opportunity and try to get it back, it's almost impossible.

What's more, this is still mathematics, or number theory, which is the direction that needs the most inspiration.

It's just that Chen Zhou is also silently making plans.

Starting from the Kramel conjecture, there may be many unexpected gains on this line.

Moreover, he vaguely felt that what the system had said before would be fulfilled after the completion of this mission.

It took two days for Chen Zhou to finally complete the paper on the hail conjecture.

It was also translated into English and converted to PDF format for preservation.

The next step is to choose a mathematics journal to submit your manuscript to.

The hail conjecture is a purely mathematical problem, which belongs to the direction of abstract algebra and number theory, so there are many choices for submitting to journals.

But in any case, the hail conjecture is also a world-class problem, and no matter how to submit to the journal, you have to choose a sufficient number.

And Chen Zhou also has to consider the impact factor.

After all, it's tied to the task of the system.

After thinking about it, Chen Zhou finally decided to choose one of the four major journals of mathematics.

According to incomplete statistics, from 1998 to the present, only about 67 papers have been published in the four major international mathematical journals by Huaguo research institutions.

Even, there are only about 10 papers completed by mainland China research institutions.

Therefore, in the past, people who could publish an article in these journals were even considered eligible to run for academician of the Chinese Academy of Sciences.

This also shows the difficulty of publishing papers in the mathematics journal Four Heavenly Kings.

Among the four heavenly kings, it is generally believed that the "Annals of Mathematics", jointly published by Princeton University and the Institute for Advanced Study in Princeton, is the most compelling.

This journal is also recognized by the mathematical community as the most representative of the authority on mathematics.

However, judging from the data, in the past 20 years, Chinese scholars have not published an average of one paper a year in the "Annals of Mathematics".

It's about two articles in three years.

Of course, this is not the most difficult journal for Chinese scholars.

The journal that is most difficult for Chinese scholars is Acta Mathematica Sinica, which is also sponsored by the Royal Swedish Academy of Sciences.

In the past 20 years, Chinese scholars have published only five papers in Acta Mathematica Sinica.

It's pitiful.

As for the other two of the Four Heavenly Kings.

One is New Advances in Mathematics, which was founded by Springer in Germany.

In the past 20 years, Chinese scholars have been able to publish an average of 2 articles a year, which is also a relatively friendly journal for Chinese scholars.

The other is the Journal of the Mathematical Society of the United States, which is a journal run by the Mathematical Association of the United States, and from the data point of view, the difficulty of publication is similar to that of the Annals of Mathematics.

Therefore, Chen Zhou felt that "New Advances in Mathematics" was the best choice.

Because this is the first time he has submitted an article to a world-class top journal, he should analyze it rationally.

Choose a journal that is more friendly.

However, Chen Zhou did not choose "New Advances in Mathematics".

He chosen, the most unfriendly Acta Mathematica Sinica.

Aren't you unfriendly to us Chinese scholars?

Then I'll smash you with a paper that proves a world-class problem!