[Task 2, inspiration +7.] "It helps!"

When there was more content in the email, Wang Hao immediately received a message from the system, and the inspiration value was directly increased by 7 points, and he quickly checked the task situation.

[Task 2]

[Research Project Title: Constructing Quality Points on a Mathematical Basis (Difficulty: S+).] [Inspiration: 27.] 】

"20, quickly broke through the ....."

Wang Hao was not surprised, in the process of checking the email information, he felt that the situation was very unusual.

For a complex quaternion function, three different prime numbers are substituted, and then the resulting equation is solved, and a prime solution is obtained.

The chances of such a "coincidence" are so low that they are negligible.

It's not just an ordinary function, it's so complex that even top mathematicians have a headache, and it's not easy to do a simple transformation.

Even if you bring in three numbers, the result is still a complex equation, and there is no specific formula to solve it, so it naturally takes a long time.

For such a complex function, the probability of finding an integer solution is very low for an equation obtained by substituting three prime numbers, let alone obtaining a prime solution.

It's too much of a coincidence.

So it's certainly not a coincidence, there must be some kind of law in it.

The system reminds that the inspiration value increases, which also confirms that the law exists, Wang Hao still made a verification, he spent more than 20 minutes to calculate and determine the value obtained on the email.

Wang Hao also recognized Zhu Kuiyang's level.

Although the calculation only took more than twenty minutes, it could take more than a day to complete for an average math professor.

If you can't figure out the step conversion in the calculation process, it may not be completed in a few days or dozens of days.

It is remarkable that an equation of this difficulty can be accurately solved, and the level can already be described as 'high'. "No worse than Zhang Zhiqiang."

Zhang Zhiqiang is not a Ph.D. in the Department of Mathematics, but he has been engaged in the research of mathematical computers, often exposed to esoteric mathematical content, and still needs to do a lot of geometric and equation conversion work, at least at the level of solving various equations, which is not worse than ordinary Ph.D. in mathematics.

This mathematics major is studying for a doctorate, and the level is stronger than Zhang Zhiqiang, which is definitely commendable. "Finally found your way."

After Wang Hao finished the verification, a smile suddenly appeared on his face. He also did other verifications right away.

The 'substitution method' is one of the easiest ways to study functions.

Previously, Wang Hao also used the substitution method to convert the function into an equation for solving, so that he could get a clear point and have a general understanding of the function.

He also substituted several sets of prime numbers, but the results of the calculations were all irrational numbers, or could not be solved at all. Later, I gave up this method, but what I didn't expect was that the final breakthrough was still in the 'substitution method'.

Now for verification, it is related to the combination of numbers provided by Zhu Kuiyang, who left one of the initial numbers and changed the two initial numbers, and then solved them.

An hour later....

Wang Hao gave up continuing to solve, because he found that no matter how much he solved the equation, it was impossible to get an integer solution.

"Why?"

"The combination of numbers provided by Zhu Kuiyang is certainly not a coincidence, otherwise it would not have been possible to increase the inspiration value." "It's definitely a direction.....

"So ....."

Wang Hao thought about it for a while, and decided to find other people to verify it together for various combinations of prime numbers. His energy alone is limited.

If you want to do more verification of number combinations, it's best to have a lot of people come together.

Qiu Hui'an, Ding Zhiqiang, Luo Dayong, Helen, Paul Phil-Jones.... Several people from the Mason Tree Science Lab were approached.

These are 'their own people'.

Wang Hao's simple explanation of the situation attracted the attention of others.

"It's certainly not a coincidence." Paul Phil-Jones's tone was firm, "Substituting three prime numbers, and being able to find a prime boundary, with the complexity of that function, is even lower than the probability of life on a random planet!"

"Are you sure?"

Helen immediately said, "Paul, I agree with you in the first half, but you can't judge the probability of life on a random planet."

"It is uncertain how many planets in the universe have life, and it is uncertain how big the universe is, and your statement is not rigorous."

「.... Well, you're right."

Paul Phil-Jones was stunned, hesitated for a moment and pulled the corners of his mouth hard, but still decisively bowed his head and admitted defeat. Because, Helen was right.

When he saw Helen, he could always think of a similar character more than ten years ago, and when he encountered a non-rigorous statement, he would immediately refute it.

Right now

He feels that his emotional intelligence has improved, especially after getting married, and he can already understand the feelings of ordinary people.

For example, the core of the topic is a functional problem, and he doesn't want to waste time arguing with Helen about a topic that is "sure to fail".

Of course, sure failure is also one of the reasons.

Helen's mind was not so complicated, a victor's smile appeared on her face, and some smug glances at Wang Hao.

That expression seemed to be very straightforward, "Mr. Wang, do you see that? Praise me!"

Wang Hao showed a hint of a smile, nodded his head towards Helen, and quickly changed the topic, "I also think it's not a coincidence, so I asked you to come over and verify it together."

He pointed to the whiteboard, where there were many combinations of numbers, "These combinations, we all have to verify." "Next, assign work!"

Naturally, the verification work is assigned according to ability, and Wang Hao, Helen, and Paul Phil-Jones are a grade, and they choose more complex combinations of numbers.

Qiu Hui'an, Ding Zhiqiang, and Luo Dayong are at a level, so they start with something simpler.

Because there has been clear progress in the research, everyone is looking forward to new discoveries, and it is natural that there is a lot of emphasis on validation.

However, it is not easy to verify each set, because the equations obtained by substituting the combination of numbers are also very complex, and they can be taken out separately or even a small study.

Some even gave Wang Hao a headache.

Fortunately, with Paul Phil-Jones and Helen, they can discuss complex equations together.

The level of Ding Zhiqiang, Qiu Hui'an and Luo Dayong is not bad, and the relatively simple verification of the number combination is also progressing very smoothly.

A week later.

Seventeen of the more than twenty number combinations were verified, and the work stopped when the seventeenth number combination was verified.

Because they found the pattern.

"Look, this new result, 1109, happens to be a prime number!" Paul Phil-Jones exclaimed with surprise on his face. The others stopped what they were doing and immediately looked over.

"5, 83, 17, got 1109." "Miraculous results!"

Ding Zhiqiang immediately said, "The day before yesterday, I verified 5, 13, and 17, and the result I got was 571, which is also a prime number, that is, we have found the law!"

Everyone here is a smart person, and it only takes two sentences to determine the law. The key is '5 and 17'.

They proved that every combination of 5 and 17 could calculate a prime result, while other combinations of numbers, some equations could not be solved, and some of the results were irrational.

Now the pattern is clear.

Wang Hao is even more certain, because the system has prompted 'inspiration value +2', and the task inspiration value has risen to '29' points.

Although it was only a two-point increase, they definitely found the right direction.

He immediately spoke, "Go ahead and do the calculations, only

Check a combination of 5 and 17 to see if you can solve for a prime number!"

"Good!"

Everyone nodded excitedly and immediately proceeded to the next step of the verification work. They all can't wait to see the results.

If the combination of prime numbers containing 5 and 17 can correspond to another prime number, it is definitely a very surprising discovery, just for the result, the discovery of the function plus the discovery of the law has gone beyond the Fields category.

This is the real 'law of prime numbers.'

The Riemann conjecture is related to the law of the distribution of prime numbers, but it is only in the corresponding range, which contains many prime numbers, and they have discovered a specific law.

This specific law means that the function has a very in-depth research value. Think deeply....

Since the combination of '5 and 17', plus another prime number, can obtain a prime number solution through a function, will there be other combinations of prime numbers as well?

This discovery is significant.

First, it can be determined that the function shaped by Wang Hao contains the law of prime number distribution.

Second, the initial discovery of the law is also of extraordinary value, and their participation in the study may be recorded in the annals of mathematics together.

.......

Donggang University of Technology, Laboratory Building, Faculty of Science.

Zhu Kuiyang was sitting in a workshop, carefully studying the contents of the functions on the paper. That's the Wang's function.

The paper basket next to it was already full of used straw paper, with rows of complex mathematical columns on it, and there were a lot of used papers on the table.

"What is the law? How can you only get a set of values....." Zhu Kuiyang was a little puzzled.

Like Wang Hao and others, he believes that his discovery will not be just a coincidence, the difference is that he is not sure, after all, the function was taken out by Wang Hao, Wang Hao is the top mathematician in the world, and he is just a doctoral student in mathematics.

To put it simply, there is a lack of confidence.

The two students who were studying for a PhD next to them looked at Zhu Kuiyang, who was thinking hard, and couldn't help laughing, "Zhu Kuiyang, are you still working on that super complex function?"

"Give up, that's a function that Wang Hao came up with, I don't know how many top mathematicians at home and abroad do research, how can we study it?"

"You're sure it's good, but if it's international.... Not to mention comparing it with Wang Hao." What the two classmates said was hard to hear, but it was true.

Zhu Kuiyang is a very good Ph.D. student in the Department of Mathematics, but the object of comparison is only them, and it is nothing in the world.

There are many scholars at home and abroad who are studying the functions that Wang Hao came up with, they are just ordinary Ph.D. students, and they are also Donggang University of Technology....

It must be admitted that Donggang Polytechnic University started with chemistry, and the Faculty of Science is just a 'head'. "I'm just interested, and it's okay anyway." Zhu Kuiyang didn't care about the explanation. "Let's think about graduation!"

The classmate next to him said, "We're all about to graduate, what are we going to do after graduation? My parents suggested that I study abroad so that I could find a job."

"It's too late to go abroad, right?"

"I'm going to go out and find a job, computer direction, applied mathematics can be, find a big factory 996 to do it first." "Zhu Kuiyang, can you stay in school?"

Zhu Kuiyang shook his head silently, "I guess I won't be able to stay.....

When he thought of graduation, Zhu Kuiyang was also a little irritable, and in his heart, he hoped to stay in school so that he could continue to study mathematics.

However, there is little hope.

Just as he was thinking about it, his mobile phone suddenly rang, and it was his mentor Xing Shuchang who called. Zhu Kuiyang hurriedly went upstairs.

Xing Shuchang's office was upstairs, and when he saw Zhu Kuiyang enter the door, he subconsciously sighed, and it took a long time before he spoke, "Kuiyang, your application to stay in school has been rejected."

Zhu Kuiyang had been mentally prepared for a long time, but he still couldn't help but feel very lost.

Although he is an excellent Ph.D. in mathematics in the Faculty of Science, it is very difficult to stay in the university. One, he

No study abroad experience.

Second, Donggang Institute of Technology's mathematics major is not strong, and his competitors are also at least Mizuki University and Donggang University-level doctors of mathematics, and some are turtles from famous foreign universities.

The competition is too fierce in these days!

Xing Shuchang paused for a long time before continuing, "I really hope you can stay, your level is no worse than those PhDs from famous foreign universities, but ......"

He himself couldn't say it anymore, because the requirements for staying in school were too high. Zhu Kuiyang, it's still a little worse.

Even if he has face, it is useless, after all, Zhu Kuiyang did not come up with any dazzling results during his doctoral studies, and his doctoral dissertation is only at the ordinary SCI level.

The atmosphere in the office was silent.

At this time, a sudden shout came from the door, "Zhu Kuiyang!" "Right here.....

"Zhu Kuiyang? Is it here? Xing Shuchang's students?"

An old professor took the lead and walked in, and there was also the administrative director next to him, and they walked in together, and immediately said, "Zhu Kuiyang!"

"It's you, right?"

"You're the best doctor in our school? Sure enough, it's a talent!" Zhu Kuiyang was a little confused.

Xing Shuchang was also a little confused, and immediately asked the old professor, "Professor Xu, what's wrong?" It's ......"

Professor Xu immediately said, "You haven't watched the news, you just came out, you are a great student, he actually solved the function problem of Academician Wang Hao!"

「--?」

"Is that the complex function?"

"Yes! It's amazing, a Ph.D. student, it's so good, I didn't expect that our Donggang Institute of Technology can still train ..... Ahem.

"Zhu Kuiyang is about to graduate, right? Professor Xing, this kind of genius, the school must stay!" There are already a lot of people talking about it on the web.

The reason for this is that Wang Hao released a new message, confirming that the research of the "Wang's function" has made progress, and clearly expressing his gratitude to Zhu Kuiyang.

"There has been a new breakthrough in the study of functions.

We have discovered a feature of functions: the node structure of prime pairs, which has a fixed pair of prime numbers, through which additional prime numbers can be calculated.

We have performed dozens of sets of calculations to determine the existence of the "Prime Number Pair Node Framework", and the research results will be published in New Advances in Mathematics.

With this, I decided to name the new function 'Higher Order Particle Function.'

I would like to thank Zhu Kuiyang, a Ph.D. student in the Department of Mathematics at Donggang University of Technology, who discovered the first prime array and sent me an email.

That's a very meaningful discovery.

In the second research result, Zhu Kuiyang played a great role.....