Chapter 154 Proof of infinity of pairs of prime numbers with interval 6

Tian Yanzhen told Qiao Yu to get out of here. After Qiao Yu walked out of the office, he started to make plans.

The benefits of giving a report at the annual mathematics meeting are obvious. Qiao Yu thinks that the tutor and Mr. Yuan probably felt that it was humiliating that they had not been able to apply for the project before, so they fought for this opportunity.

Let him talk about this idea in front of everyone, which somewhat means letting the entire mathematical community comment on the theory.

It can be understood as a cry to the Chinese mathematics community: "Everyone, come and see if we are selfish in giving Qiao Yu the opportunity to work on a major project!"

But of course this must be under the premise that he has not submitted a paper to Ann.Math. Judging from the attitude of his tutor, Qiao Yu can tell that giving a report at a conference is still useful without publishing a paper in a top journal.

After all, the former is only speaking to the Chinese mathematics community, while the latter is speaking to the world mathematics community.

But now there are only seventeen or eight days left on the 25th. Prepare a paper that can be delivered as a one-hour report at the annual mathematics meeting, and you can’t lose the instructor’s face...

It does seem a bit difficult.

This is the disadvantage of being too good. The instructors think that he can do anything!

So on the way back to the dormitory, Qiao Yu felt what he should have felt at his age - melancholy!

Totally unprepared!

During this period of time, he was focused on completing the proof of the multi-modal space system, and was working on the proof of the extension of two dimensions to three dimensions. This work will take at least one or two months to complete.

Well, Qiao Yu has to admit that without any direction, it must be a joke to ask him to spend half a month to come up with a paper out of thin air?

This is a bit troublesome...

Soon Qiao Yu sat in front of his computer and began to think hard.

The main reason is that the timing of the conference is too much. It happens to be the beginning of November, the month Ann.Math is published every year, and it happens to be a single month every year.

This is also the reason why Qiao Yu feels that his and Senior Brother Chen's papers may not be published this year.

If you submit your manuscript in October, no matter how quickly it is reviewed, it will probably not be until November. In addition to the typesetting time, the fastest publication time will be January next year, or even March.

This is under the condition that everything goes well. If the reviewer has any questions about the paper, they can discuss it back and forth, and they may have to push it back.

This is also the reason why many university teachers who have signed 3+3 employment agreements with universities are under great pressure.

Generally, this kind of agreement has clear requirements for the number of papers to be published during the assessment period, such as three papers to be published in journals of a certain level in three years.

It may not sound difficult. But for young teachers who have just entered colleges and universities, they not only have to complete the most arduous teaching tasks, but also do research and go back and forth with reviewers.

Projects have always had more monks than meat, and it is difficult to publish articles on time without the recommendation of a big boss. There are only so many academic positions that universities can provide.

Most people are unwilling to acquiesce. After all, going to teach in a certain three or even junior college basically means severing oneself from the mainstream academic world, and they will stay like that for the rest of their lives.

Thinking of this, Qiao Yu suddenly felt that he was not in such a difficult situation. After all, it was impossible for him to encounter the above situation.

It is nothing more than writing a paper that will make Director Tian and Mr. Yuan feel that they will not lose face. Although the time is shorter, as long as there is a general direction, it should not be a big problem.

The key is direction.

Then Qiao Yu turned his attention to prime numbers...

Just as he told Zhang Yuantang, Tao Xuanzhi, Lott Dugan and other big guys, his original intention to construct the axiom system of generalized modal number theory was to solve the prime number problem.

So apart from this axiom system, he thinks about prime numbers the most in his daily life.

We even tried to use this axiom system to solve some prime number problems. And there was a lot of progress.

For example, regarding the twin prime conjecture, Qiao Yu felt that he could use the method he constructed to reduce the bounded distance between prime numbers to two digits, or even a single digit greater than 2.

Since Zhang Yuantang proved that the interval is less than 60 million, the collective efforts of the mathematical community have only pushed this value to 246.

This number has not changed since 2014, because with the method given by Zhang Yuantang, it is already a limit to prove it. It is basically recognized in the mathematics community that further mathematical ideas and tools will be needed to complete it.

For Qiao Yu, he had never thought of writing a paper on this issue before. The main reason was that he could not make this value equal to 2 for the time being.

Because we want to be equal to 2 and completely solve the twin prime conjecture, there are still some technical problems that remain unresolved.

After all, tools such as modal density and modal paths have not yet been fully proven, and once they get to that point, accuracy must be considered.

For example, can the local oscillation of the modal density function satisfy the twin prime trajectory? Only after these are proved can we start to formally explore this issue.

However, as long as it is not equal to 2, the accuracy requirements are actually not that high, and it can be proved using the existing tools of the generalized modal number theory axiom system.

And a paper like this is definitely enough to cope with the conference. Not to mention that this is a report given on the morning of the third day of the conference, not an opening report.

The most important thing is that if it is such a paper, he will not need eighteen days, but ten days at most. After all, the proof ideas are already in his mind.

The only problem is that such a paper still needs to use many concepts from the first stage of his axiom system of generalized modal number theory. But this paper has not been published yet...

Quoting the results of his unpublished paper at the conference to demonstrate a result, Qiao Yu could imagine how confused the mathematicians in the audience would be and how controversial it would be.

But with only such a small amount of time, it is almost impossible for him to choose a proposition again.

So Qiao Yu decided to leave this issue to Director Tian for decision-making.

Although he did not communicate with Director Tian and Mr. Yuan when he sent the paper to Ann.Math, it was indeed his fault.

However, Director Tian and Mr. Yuan asked him to give a report at the Chinese Mathematics Annual Conference without telling him in advance, so it can be said that both parties are responsible for this matter.

Anyway, if he has to give a report, then this is the paper. If this paper doesn't work, then quickly find someone else.

After all, starting from topic selection in half a month to write a mathematics paper that is qualified to attend the top domestic conferences, in Qiao Yu's opinion, it is as outrageous as giving him a pile of sand and asking him to pinch out a chip.

Not even a god can do it!

Of course, you can't say that after the phone call is made.

"Hey, Director Tian, ​​I have a very bold idea about the conference paper you just mentioned!"

After hearing this sentence, the other person didn't know whether it was because he was reading a paper. He was silent for more than ten seconds before the voice came through.

"You think it's very bold? Okay, let's talk about it."

"What do you think of my paper, which mainly talks about reducing the upper bound interval of prime numbers to single digits greater than 2? But I'm not sure how far it can be reduced, but I think single digits should be no problem." Qiao Yu immediately

said.

The silence lasted longer this time, and Director Tian's voice came again for more than twenty seconds, but this time it was much more serious and had a hint of inquiry.

"Single digits? Are you sure you can do it?"

Qiao Yu immediately replied affirmatively: "Of course, I can definitely do it, but I have to use my new theory. So the question is, I can use new methods to reduce this gap, but this new method is not there yet.

Published by the mathematical community, do you see it?"

Generally speaking, as a graduate student, you cannot make your supervisor feel entangled. Otherwise, your graduate career will most likely not be perfect.

But there are always a small number of people who have this power and are lawless. Obviously Qiao Yu falls into this category.

After three sentences, the instructor was silent three times, and the silence time continued to extend... If he hadn't heard a slight breathing sound, Qiao Yu would have suspected that the phone was disconnected.

Finally, when Qiao Yu felt a little nervous, the instructor's voice finally came again.

"You write it first and then talk about it after you finish it."

"Okay, Director Tian, ​​please wait a minute! I will write the paper as soon as possible."

When the busy signal came from the phone, Qiao Yu also let out a sigh of relief.

At least his problem is solved.

As long as he writes this paper, it doesn't matter whether he gives a report at this conference or not.

Anyway, Director Tian asked him to write the paper first. If it doesn’t work, you can’t blame him.

You can't give him half a month to write two papers that can give a 60-minute report at such a top domestic conference, right?

Unless someone doesn't understand mathematics at all, no one would make such an outrageous request.

After he felt relaxed, Qiao Yu opened WeChat with a smile, and then clicked on Senior Brother Chen's chat interface.

"Hey, Senior Brother Chen, you have caused me so much trouble..."

As the person in charge of the project and also an oppressed junior brother, he can completely channel the pressure. Based on the principle that whoever benefits should bear greater pressure, I can only say that senior brother Chen is blessed again.

…

United States, Princeton.

Lot Dugan has always believed that a good paper is like an excellent work of art. Therefore, the better the paper, the more it needs an excellent reviewer.

So after reading Qiao Yu's paper, he directly found five of the world's top reviewers. One of them was his friend.

Coincidentally, his friend also recommended a reviewer who could be said to be a top reviewer. Then six of them were recruited.

Some of them have no intention of taking over the paper at all.

Such as Andrew Wiles.

After he received a call from Lot Dugan, he refused directly. The excuse he used was that he was very busy recently...

Lot Dugan did not give up and suggested that the other party read the introduction of the paper carefully before making a decision.

Andrew Wiles gave Lott this face, read the introduction, and then commented: "Are you sure the author is not talking nonsense?"

Then Lot Dugan helped Pierre Delini to evaluate the paper before the Fields Medal boss had even read it.

"Of course, do you know what Pierre said about this paper? He said that this will be the greatest milestone work of this century, bar none. This is also the reason why I chose you as a reviewer... Andrew!
To be continued...