Genius of the Rules-Style System

Zhao Yi's fourth paper has a very long name. The main title is "Bounded Intervals of Prime Numbers" and the subtitle is "Prove that there are infinitely many combinations of prime numbers less than or equal to 246."

The content is as per the title.

To a layman, the content does not seem to have much to do with the twin prime conjecture. In fact, the two are directly related, because the twin prime conjecture can be weakened and explained as "Can you find a positive number such that there are infinitely many pairs of prime numbers?" The difference is less than this given positive number".

In the twin prime conjecture, this positive number is 2.

Zhao Yi's paper proved that this positive integer is less than or equal to 246.

The gap between the two is still relatively large.

Zhao Yi initially proved that the number was less than or equal to 50 million. Later, he used a series of methods to reduce the number to 246. After that, he found that if he wanted to continue to reduce the number, the same method would not apply, so he had to consider new methods. .

It must be a huge project, not even worse than proving a difficult conjecture, so Zhao Yicai said to the outside world, "This road is unworkable."

But the reaction from the outside world was unexpected.

Domestic media directly described his paper as "a critical and most important step in the proof of the twin prime conjecture."

Domestic media reacted the fastest, probably because Zhao Yi is a domestic scholar. After the paper was published, not even an hour passed before major media came to this conclusion.

That's certainly not the reporter's own conclusion.

The media also specially interviewed famous domestic mathematicians. Their views were very consistent, "It can be said that there has been no progress in the twin prime conjecture for a hundred years."

"Zhao Yi's paper is a proof of the weakening of the twin prime conjecture. He has taken a crucial step."

"246 sounds like a large number, but in fact, it is already a very small number. Many years ago, mathematicians asserted that if someone tried to prove it by weakening the twin prime conjecture, the initial number might be More than a million, even tens of millions, hundreds of millions."

This sentence is difficult for laymen to understand, but Zhao Yi nodded repeatedly after seeing it. He initially proved that the number was indeed tens of millions.

The world's mathematical community quickly reacted.

Most media do not care whether the proof process is correct, because the publication was "New Advances in Mathematics", and the reviewers also commented that "the proof is correct and it is first-class mathematical work."

So the chances of the proof process being wrong are slim.

After publishing the paper, "New Advances in Mathematics" definitely pointed out, "This proof is an important milestone!"

Some foreign media also asserted that "the bounded interval of prime numbers is a very significant breakthrough in the ultimate number theory issue, the twin prime conjecture!"

Some even believe that “its impact on the academic world will exceed Chen Jingrun’s “1+2” proof.”

The International Mathematical Society also participated. They popularized Zhao Yi's proof and compared it with Goldbach's conjecture.

Many people think that the so-called proof of "1+1" is to prove "1+1=2". In fact, this is a very funny idea. 1+1 is inherently equal to 2, which is the most basic common sense concept in mathematics. There is no need to discuss or prove it at all.

To understand Goldbach's conjecture, we must first understand the concept of almost prime numbers. An almost prime number is a positive integer with a small number of prime factors.

Let N be an even number.

Although it cannot be proved that N is the sum of two prime numbers, it is enough to prove that it can be written as the sum of two almost prime numbers, that is, N = A + B. The number of prime factors of A and B is not too many. For example, The number does not exceed 10.

Use "a+b" to express the following proposition: Every large even number N can be expressed as A+B, where the number of prime factors of A and B does not exceed a and b respectively.

Obviously, Goldbach's conjecture can be written as "1+1".

The initial progress of Goldbach's conjecture originated in 1920, when the Norwegian mathematician Brown proved "9 + 9".

After that, advance layer by layer.

In 1966, domestic mathematician Chen Jingrun proved that "1 + 2", that is, a sufficiently large even number, can be expressed as the sum of two numbers, one of which is a prime number, and the other is either a prime number or two prime numbers. The product of is called "Chen's theorem".

Now Zhao Yi's proof of the weakening of the twin prime conjecture is similar. He made the beginning of a proof. He proved that "the difference between infinite pairs of prime numbers is less than or equal to 246."

As long as 246 is reduced to 2, the twin prime conjecture can be proved.

Danny Wilson, a professor of number theory at San Jose State University, explained, "The distance from 246 to 2 is minuscule compared to the distance from infinity to 246."

Many media outlets also commented on Zhao Yi himself when talking about Zhao Yi's research role and influence.

Some mathematicians have made it clear, "If Zhao Yi could only get Fields with the help of the three-dimensional tremor waveform diagram before, coupled with the groundbreaking proof of the twin prime conjecture, now I dare to say that four years later, Fields must have the name Zhao Yi!"

"If not, it will become a black hole in the international mathematics community."

"There is nothing more meaningful for mathematical research than this!"

As a result, many media called Zhao Yi from 'future Fields winner' to 'next Fields winner'.

So far, no pure domestic mathematician has obtained Fields. You can imagine how crazy the domestic media reports are——

"The Fields winner four years later is announced ahead of schedule!" 》

"The selection of guests for the Fields Medal is easy because the Fields Medal has been locked in advance! 》

"He is about to become the number one field player in the country!" 》

"Twenty-year-old Fields winner, he created the youngest winner of the award..."

Under the bombardment of a large number of professional media reports, one can only imagine what situation Zhao Yi will be in.

He hid in the dormitory, but was still found by a group of people.

Later, I simply hid in the classroom and went to the advanced mathematics class to buy rest coins. I didn't know that the classmate next to me was "snitching", so several professors from the School of Science came to the door, and they simply discussed mathematics with him in the back row. .

This is crazy...

How to go to class?

Hu Zhibin's sad eyes could be seen clearly from dozens of meters away. Zhao Yi could only go out to the corridor and talk to several professors about writing papers.

"Really, I don't think that proof means much."

"It is very difficult to reduce the number of 246. Even if it can be done, it will be reduced to more than a hundred or dozens at most, and it will be difficult to continue."

"This is actually the same as Goldbach's conjecture. After proving 1+2, if you want to prove 1+1, you can no longer just rely on the sieve method. You must think of other proof ideas, which is almost equivalent to completely overturning the proof again."

This is how Zhao Yi sees it.

Obviously.

Other mathematics professors did not see it that way. Zhou Lidu said excitedly, "This is already remarkable. Even if we cannot continue, it is a step forward in proving the twin prime conjecture."

"Don't you know what the greatest significance of your proof is? It's taking this step, not whether you can reach the end."

There was also an unknown professor who was also very excited, "Yes, as Professor Zhou Li said, this step is crucial!"

"Zhao Yi, I don't ask you for anything else, but tomorrow and the day after tomorrow, you can arrange time to give a lecture at the School of Science. Don't listen to this meaningless math class. It's just a waste of time!"

Hu Zhibin happened to walk out of the classroom and felt very unhappy when he heard this sentence.

What's the point?

The advanced mathematics course I taught was meaningless and a waste of time?

How did you say this?

However, no one paid attention to his mood. Several professors still surrounded Zhao Yi. Zhao Yi thought for a while and simply agreed.

There is really no way to avoid this!

He has absolutely no fourth paper that would have such a huge influence. Once the influence spreads, some things will become unavoidable.

For example, get a prize.

For example, giving a speech...

These two words rhyme quite a bit!

Since I have to give a speech, it seems good to give a speech at my own university, where the speech is just a few steps away.

"I go!"

"Can't I just go?"

"Just tomorrow, tomorrow. Tomorrow is Saturday, and I don't have classes."

"You can arrange the time."

"Okay, okay..."

Several professors were immediately satisfied. They had achieved what they wanted.

…

After finishing the advanced mathematics class, Zhao Yi found that it was very difficult to attend class normally, so he simply hid back at home, chatting with Lin Xiaoqing and complaining, "It's too difficult!"

"I can only hide at home alone."

The person on the other side was silent for a while, and then said, "Wait, I'll go find you."

"good!"

Zhao Yi's mood suddenly improved a lot. Looking at the house that had not been cleaned for a long time, he decided that he should be more diligent and at least wipe the dust on the floor.

wipe!

effort!

Work!

I am a hard-working housewife...

After working diligently for more than ten minutes, he cleaned the bedroom and decided to lie down on the sofa and rest.

Just keep the bedroom clean.

Let's wait for Lin Xiaoqing to come and clean the rest together. It's a pure waste to have free labor!

Open the system, there are a lot of messages——

[Complete detailed analysis of the prime number solution of the three-dimensional tremor waveform diagram. 】

[Research Coin +12. 】

【Academic reputation increased! 】

[Research Coin +12. 】

[Academic reputation is improved, learning coins +1200. 】

[Mathematics, prime number analysis of three-dimensional tremor waveform diagram, task completed! 】

[Learning Coin +1000. 】

[Research Coin +10. 】

[Complete the proof for bounded gaps in prime numbers. 】

[Research Coin +20. 】

【Academic reputation increased! 】

[Research Coin +20. 】

[Academic reputation is improved, learning coins +4000. 】

Looking at the message records on the system panel, Zhao Yi was very shocked, especially the last one, which improved academic reputation and directly brought 4,000 learning coins.

Therefore, it is true that the greater the influence, the more learning coins it brings.

Zhao Yi had previously speculated on the rules for how academic prestige would increase learning coins. The completion of the biomedical mechanism project did not bring about an increase in learning coins because the impact was too small. Almost no one knew about it. People know that there will be academic reputation, but they don't get learning coins.

The current proof of the bounded gap of prime numbers has been reported by a large number of media, and its influence is so great that it has brought more learning coins.

This time it was a real blast!

The number of learning coins increased by 6,200 in one breath, and the number of scientific research coins also increased by 74.

Zhao Yi checked the system data and looked a little excited--

[Name: Zhao Yi. 】

[Brain development degree: 6.8%. 】

[Wisdom: 79. 】

[Energy: 126/157. 】

[Learning Coin: 14201. 】

[Research Coin: 223. 】

[Ability: "Law of Cause and Effect", "Law of Contact", "Law of Supervision" (activating the next stage of abilities requires 18,000 learning coins.)]

"Four thousand less!"

Zhao Yidu is looking forward to the next stage, which is to activate the fourth ability. "It seems that if you want to grow learning coins quickly, you still need to do influential research!"

"If you can complete your life goals and tasks, the biomedical mechanism project can also bring you learning coins, and you will be very close to activating your next stage of abilities."

When Zhao Yi was studying the system, World Mathematics suggested that many mathematicians and mathematical institutions planned to use Zhao Yi's proof ideas to study the weakened twin prime conjecture. Their goal was to reduce the number 246 to something closer to Proof of the twin prime conjecture.

If there is one, there will be two.

Zhao Yi's proof paper has made a good start. Generally speaking, according to the rules, if you continue to study, you can continue to reduce the numbers until you are infinitely close to completing the proof.

This is the same as Goldbach's conjecture.

When domestic mathematician Chen Jingrun proved '1+2', it can be said that he was infinitely close to proving Goldbach's conjecture, but it was extremely difficult to cross the threshold. It seemed that he was infinitely close to the proof, but the actual distance to complete the proof was like a chasm. .

The proof of Goldbach's conjecture by the sieve method can be said to be over here.

Now in the world of mathematics, many mathematicians hope to continue to explore forward. Even if it is still impossible to prove in the end, their work is very meaningful.

This is not one mathematician, but a large group of mathematicians.

Among them is Tao Zhexuan who is far away in Los Angeles.

Tao Zhexuan received the information sent by Zhao Yi. He found that Zhao Yi had not started doing algorithm work, but had modified his mathematical theory.

At the beginning, Tao Zhexuan didn't care at all, and even felt a little funny in his heart. He believed that his mathematics level was the best in the world. It would be very difficult for any mathematician to modify his mathematical results.

But when he really read it patiently, he was deeply attracted by the modifications.

After those mathematical theoretical contents were modified, the theoretical performance was directly improved several times, and it even looked more concise.

Of course, simplicity does not mean simplicity.

It's like a lot of complicated basic operations are suddenly replaced by a mathematical formula. It is very difficult to understand the mathematical formula.

So it took Tao Zhexuan a long time to understand. He felt very incredible. He spent a long time studying those mathematical theories. As a result, in just over two months, Zhao Yi completed all the mathematical content. made improvments?

This is incredible.

What he didn't know was that it didn't take Zhao Yi two months at all. He just completed the correction of the entire content in one or two hours after understanding the information.

While Tao Zhexuan was still reading the mathematical content of digital compression technology, he noticed the bombardment of reports by the academic media on Zhao Yi's new paper.

He is much more serious than others.

Tao Zhexuan has always wanted to study the twin prime number conjecture problem, but he has not been able to find a breakthrough point, so he has not decided where to study it.

After the International Congress of Mathematicians, the breakthrough point Tao Zhexuan found was the three-dimensional tremor waveform diagram. But when he started to conduct formal research, he discovered that Zhao Yi had already made a breakthrough?

This is too amazing!

Tao Zhexuan took a cursory look at the paper, and without going through the detailed reading process, he directly sent a message to Zhao Yi. The text was full of weird emotions, "Is this what you said, meaningless research?"

When Zhao Yi talked to Terence Tao before, he also talked about his fourth paper. He did not talk much about the specific content, but just commented, "It was a side study, related to the twin prime conjecture, and it has no special significance. .”

This just doesn't make sense?

If research becomes meaningless, mathematicians all over the world should cry.

Zhao Yi was not surprised by what Tao Zhexuan sent. Many people came and praised his research. He already knew the significance of his research.

Pioneering and innovative research!

An important step to prove the twin prime conjecture!

Anyway, it’s awesome!

Zhao Yi's only gain is that he found that theoretical research in mathematics is more important than application and problem solving.

This may be the difference in disciplines.

If it is in the direction of computers, it just points out the direction of solving an important problem and states some theories, which has little practical significance at all. If it is mathematics, it becomes a significant research.

All right!

He could only accept it.

Tao Zhexuan had not studied Zhao Yi's thesis carefully, but just sighed a few words, and finally said, "It would have been better if it had been a year earlier. It is a pity that you missed Fields this year, otherwise you could have created a record of getting the Philippines under 20." Erz’s record!”

"Ha ha."

Zhao Yi could only smile.

A year early?

At that time, he had just been reborn, and he was worried about the main task of taking the college entrance examination!

Next, the two began to discuss the mathematical theory of digital compression technology.

Zhao Yi has a detailed understanding of this issue and "Supervision Law" gave enough feedback. He discussed with Tao Zhexuan professionally and even said he was answering Tao Zhexuan's doubts.

The two discussed it for more than an hour, and almost all the major problems were solved.

Tao Zhexuan hung up the phone and sat in silence on the chair. He only discussed mathematical theoretical issues with Zhao Yi, but it seemed that from the beginning, he was asking questions like a student to a teacher.

How many years have you not had this feeling?

Tao Zhexuan smiled bitterly.

Although he was still reluctant to admit it, in his heart he suddenly felt that some aspects of his mathematical abilities were comparable to Zhao Yi...

There really is a gap!

Tao Zhexuan shook his head, and suddenly a huge motivation arose in his heart. He hoped to truly compete with Zhao Yi.

So let’s start with the twin prime conjecture!

Zhao Yi proved that the bounded gap of prime numbers is less than or equal to 246, so he went to reduce this gap. Although it is not groundbreaking research, at least it can prove that he is not bad!

This is important!

I, Terence Tao, am the youngest and most talented mathematician in the world!