Once the idea was decided, Chen Zhou no longer hesitated.

Hesitation is the biggest irresponsibility of time!

Chen Zhou collected the wrong questions and took out a new draft paper and pen.

As well as the scratch paper covered with formulas and mathematical symbols that I wrote before.

After taking a look at the previous research content, Chen Zhou thought about it briefly.

So I started to study the Jepov conjecture, which is the total number of prime numbers between m^2--(m1)^2, starting from the distribution deconstruction method.

[It can be seen from the distribution deconstruction method that the distribution pattern of the total number of prime numbers between m^2--(m1)^2 is high and low, but the overall trend is more and more.]

[In other words, the distribution of prime numbers is a random distribution phenomenon...]

Chen Zhou habitually took a pen and tapped on the scratch paper, and then Chen Zhou took a pen and circled the random distribution phenomena.

The reason for this phenomenon is simple.

In nature, there are only two phenomena, deterministic phenomena are inevitable laws, and random phenomena are statistical laws.

The distribution of prime numbers happens to be a random distribution phenomenon.

It obeys the stability of the average value in the theorem of large numbers in mathematical statistics.

Its limit distribution in the central limit theorem is exactly the normal distribution.

Thinking of this, Chen Zhou couldn't help but reveal a smile.

The birth of the distribution deconstruction method was inspired by the original normal distribution.

In mathematical statistics, there is such a conclusion.

If an indicator is not determined by one factor, but is caused by the combined influence of a large number of independent random factors.

Moreover, each of these factors plays a small role in the overall impact.

Then, the distribution of this indicator will be a normal distribution.

This conclusion was proved by Chen Zhou when he studied the distribution deconstruction method.

The proof method used by Chen Zhou is also the central limit theorem.

Chen Zhou's current feeling was vaguely strange.

But it is the kind of beauty that can be imagined but cannot be expressed.

It was as if he had discovered the subtle connection between Kramer's conjecture and Jebov's conjecture.

It seems that the entire world of number theory embodies a kind of connection.

Chen Zhou could feel it, but couldn't grasp it accurately.

Chen Zhou didn't like this feeling.

As a mathematician, he prefers things that can be expressed accurately using mathematical formulas or mathematical symbols.

The beauty of mathematics can be firmly held in your hands.

After withdrawing his thoughts, Chen Zhou continued to write on the draft paper:

[In view of the above normal distribution phenomenon, detailed analysis and research can be carried out by the distribution deconstruction method...]

[From pm=2/3×4/5×6/7×10/11×12/13×16/17×18/19×……×2n/(2n1)>0, where 2n1 is the largest value smaller than m1

Odd prime numbers, and these odd prime numbers are consecutive odd prime numbers, we can get...]

[When m is small (1≤m<17), the probability changes greatly, that is, the theoretical probability and the actual probability change greatly, so the error is small and the accuracy is high...]

[When m gradually increases (m≥17), the change range of its probability gradually becomes smaller, that is, the change range of the theoretical probability and the actual probability gradually becomes slower, causing the theoretical value to be always larger than the actual value by a certain proportion, so the error is large.

The accuracy is not high...]

Unknowingly, Zhao Qiqi and the three people beside Chen Zhou had gone to bed one after another.

Before going to bed, Zhao Qiqi stretched out her head to take a look.

When I saw the densely packed draft paper in front of Chen Zhou.

Suddenly I felt a headache. As expected, I was still taking an undergraduate course and was relatively amiable.

Whether it is complex variable functions or functional analysis, they are much more friendly than this thing...

Zhu Mingli and Li Li also had the same idea.

But more importantly, they are also sure of one thing.

That is, Chen Zhou seems to be making a breakthrough!

In the past few times, when Chen Zhou was studying mathematical conjectures, didn't he always get angry at critical moments?

The three of them were still strange at first, but it felt like they had almost reached the critical moment after counting the time.

But I just didn’t see Chen Zhou studying Jepov’s conjecture.

On the contrary, they silently watched Chen Zhou concentrate on his physics project, but they didn't know how to comfort him.

At that time, they also doubted whether Chen Zhou gave up the competition with Tao Zhexuan and Zhang Yitang because of the pressure of external public opinion.

But now, they are convinced.

This kid Chen Zhou must have been holding back his ultimate move, the kind that won't release it until time is up.

The previous physics topics and so on were all a cover-up.

He must have calculated the proof of Jebov's conjecture countless times in his mind.

How else is it possible that as soon as this physics project is over, the research on Jebov's conjecture will enter the explosive stage?

Chen Zhou didn't know what the three brothers in the dormitory were thinking. If he knew, he would probably laugh and cry again.

In fact, he is really not as awesome as these people think.

But there is one thing, Zhao Qiqi and the others were right.

Regarding the research on Jepov's conjecture, Chen Zhou did have new ideas.

In the research on Jepov's conjecture, Chen Zhou found that when the three major mathematical ideas of overall thinking, devaluation thinking, and average thinking are combined with the distribution deconstruction method, the problems in Jepov's conjecture can be solved.

There will be a Jepov constant r.

You only need to multiply the theoretical value by the Jepov constant r, and you can find the average of the total number of prime numbers that fluctuate high and low!

This can be said to be a huge breakthrough.

This is also the reason why Chen Zhou chose to study liver explosion.

Facing the temptation of Jepov's conjecture, Chen Zhou felt that his energy was simply too much.

[The distribution function pn(x) has, limn→∞pn(x)=limn→∞p{(k=1→n∑xk-nμ)/o√n≤x}=∫-∞→x(1/√

2π)e^(-t2/2)dt……]

Chen Zhou's pen follows the movement of his brain and his smooth thoughts, without stopping for a moment.

Finally, around three in the morning.

Chen Zhou achieved this big breakthrough!

This Jebov constant r was obtained by him after a large amount of data calculations!

[r=lim[r1r2r3……r(n-1)rn]·1/n=lim[(1-r1)(1-r2)(1-r3)……(1-r(n-1))

(1-rn)]·1/n=1-r……]

[The r here is the limit value obtained based on the distribution deconstruction method, and was screened based on the distribution deconstruction method...]

[lim[r1r2r3...r(n-1)rn]·1/n(n→∞) must exist, and its value is recorded as r...]

【……】

[Therefore, Jepov’s constant r=0.89111352746……(n→∞)]

Putting down his pen, Chen Zhou stretched his waist.

The amount of calculations involved in this thing is really huge.

Moreover, the numbers after the decimal point...

Chen Zhou glanced at the solution process for Jebov's constant r and the limit value r. There were dozens of digits behind the decimal point of these two values...

But this is actually nothing, what really makes Chen Zhou sigh.

It’s still that full of scratch paper.

There are 7 in total!

It is full of dense formulas and mathematical symbols!

There is almost no blank space visible!

After taking a short break, Chen Zhou tidied up the draft paper.

Then open the wrong question set and verify the correctness of Jebov's constant r.

If this step is taken correctly, the application of distributed deconstruction method will be perfected.

Research on the Jebov conjecture will also reach an inflection point!

After opening the collection of wrong questions, Chen Zhou took a deep breath.
Chapter completed!