Chapter 348: The discovery of the law of prime numbers, higher-order particle functions!
[Task 2, inspiration value +7.] "It really helps!"
After adding more email content, Wang Hao immediately received a system message, and his inspiration value increased by 7 points. He quickly checked the mission status.
【Task 2】
[Research project name: Constructing quality points based on mathematics (difficulty: S+).] [Inspiration value: 27.]
"20, a quick breakthrough..."
Wang Hao was not surprised. While checking the email information, he felt that the situation was very unusual.
For a complex quaternary function, three different prime numbers were substituted, and the subsequent equation was solved, and exactly one prime number solution was obtained.
The probability of such a "coincidence" is so low that it can even be ignored.
This is not an ordinary function, but is so complex that it gives top mathematicians a headache. It is not easy to make a simple transformation.
Even if three numbers are entered, the result is still a complex equation. There is no specific formula to solve it, and it will naturally take a long time.
For such a complex function, the probability of finding an integer solution to the equation obtained by substituting three prime numbers into it is very low, let alone a prime number solution.
To say it's a coincidence is too much of a coincidence.
So it's definitely not a coincidence, there must be some kind of pattern in it.
The system reminded that the inspiration value increased, which confirmed that the pattern existed. Wang Hao still did a verification. He spent more than 20 minutes to calculate and confirm the value obtained in the email.
Wang Hao also recognized Zhu Kuiyang's level.
Although the calculation only took more than 20 minutes, it might take an ordinary mathematics professor more than a day to complete.
If you cannot figure out the conversion of steps in the calculation process, it may not be completed for several days or dozens of days.
It is great to be able to get an accurate solution to an equation of this difficulty. The level can 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 research in the field of mathematical computers. He is often exposed to esoteric mathematical content and needs to do a lot of geometry and equation conversion work. At least in terms of the level of solving various equations, he is no worse than an ordinary mathematics Ph.D.
I am currently studying for a Ph.D. in this mathematics major, and my level is better than Zhang Zhiqiang’s, which is definitely worthy of praise. “I finally found my direction.”
After Wang Hao completed the verification, a smile suddenly appeared on his face. He also immediately performed other verifications.
The 'substitution method' is one of the simplest methods to study functions.
Previously, Wang Hao also used the substitution method to convert the function into an equation for solution, so that he could get clear points and have a general understanding of the function.
He also substituted several groups of prime numbers, but the calculated results were all irrational numbers, or could not be solved at all. Later, he gave up this method. Unexpectedly, the final breakthrough came from the 'substitution method'.
Now the verification is related to the number combination provided by Zhu Kuiyang. He left one initial number, changed two initial numbers, and then solved it.
after an hour....
Wang Hao gave up solving the equation because he found that no matter how he solved it, it was impossible to get an integer solution.
"why?"
"The number combination provided by Zhu Kuiyang is definitely not a coincidence, otherwise it would not be possible to increase the inspiration value." "This is definitely a direction..."
"So....."
Wang Hao thought for a while and decided to find other people to verify various combinations of prime numbers together. His energy alone is limited.
If you want to conduct verification of more number combinations, it is best to have many people come together.
Qiu Hui'an, Ding Zhiqiang, Luo Dayong, Helen, Paul Phil-Jones... several people from the Mason Tree Science Laboratory were called over.
These are all 'our own people'.
Wang Hao simply explained the situation and attracted the attention of others.
"This is definitely not a coincidence." Paul Field-Jones said very firmly, "Substitute three prime numbers and find a prime number bound. The complexity of that function is even higher than the probability of life appearing on a random planet.
Low!"
"are you sure?"
Helen immediately said, "Paul, I agree with the first half of your point, but you can't judge the probability of life appearing on a random planet."
"It is uncertain how many planets there are in the universe that have life on them, and it is also uncertain how big the universe is. Your statement is not rigorous."
"....Okay, you're right."
Paul Phil-Jones was scolded, he hesitated and tugged at the corner of his mouth, but decided to bow his head and admit defeat. Because Helen was right.
When he saw Helen, he could always think of how he had a similar personality more than ten years ago, and would immediately refute imprecise statements when he encountered them.
Now
He feels that his emotional intelligence has improved, especially after getting married, and he can now understand the feelings of ordinary people.
For example, if the core of the topic is a function problem, he is not willing to waste time arguing with Helen on a topic that "will definitely fail."
Of course, failure is also one of the reasons.
Helen's thoughts were not that complicated. A winner's smile appeared on her face, and she glanced at Wang Hao with some pride.
That expression seemed to express directly, "Teacher Wang, did you see it? Praise me!"
Wang Hao showed a smile, nodded lightly 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, which had many number combinations on it, "We have to verify these combinations." "Now, assign work!"
Verification work is naturally assigned according to ability. Wang Hao, Helen, and Paul Phil-Jones are all on the same level, and they select more complex number combinations.
Qiu Hui'an, Ding Zhiqiang, and Luo Dayong are at the same level, so they will start with something simpler.
This chapter is not finished yet, please click on the next page to continue reading the exciting content! Because the research has made clear progress, everyone is looking forward to new discoveries, and naturally attaches great importance to verification work.
However, each set of verification is not easy, because the equation obtained after substituting the numerical combination is also very complicated, and it is even a small study to take it out alone.
Some even gave Wang Hao a headache.
Fortunately, Paul Field-Jones and Helen were there, and they could discuss complex equations together.
Ding Zhiqiang, Qiu Hui'an and Luo Dayong are not bad either. The relatively simple numerical combination verification progressed very smoothly.
One week later.
Among the more than twenty number combinations, seventeen were verified. After the verification of the seventeenth number combination was completed, the work stopped.
Because they found the pattern.
"Look, this new result, 1109, happens to be a prime number!" Paul Phil-Jones shouted with surprise. Others stopped what they were doing and looked over immediately.
"5,83,17, the result is 1109." "Amazing result!"
Ding Zhiqiang immediately said, "The day before yesterday, I verified 5, 13, and 17, and the result was 571, which is also a prime number. In other words, we have found the pattern!"
Everyone here is a smart person, and the rules are determined in just two sentences. The key lies in '5 and 17'.
They verified that every combination of 5 and 17 can calculate a prime number result. For other number combinations, some equations cannot be solved, and some solution results are also irrational numbers.
The rules are now very clear.
Wang Hao is even more certain, because the system has prompted 'Inspiration value + 2', and the mission inspiration value has risen to '29' points.
Although it only increased by two points, they must have found the right direction.
He immediately said, "Continue with the calculation, just
Check the combinations including 5 and 17 to see if they can be solved to get prime numbers!"
"good!"
Everyone nodded with excitement and immediately went to the next step of verification. They couldn't wait to know the results.
If any combination of prime numbers including 5 and 17 can correspond to another prime number, it is definitely a very amazing discovery. In terms of results only, the discovery of functions and the discovery of patterns have gone beyond the Fields category.
This is the true 'Law of Prime Numbers'.
The Riemann Hypothesis is related to the distribution law of prime numbers, but it only contains many prime numbers within the corresponding range, and they discovered a specific law.
This specific rule means that the function has 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 the function, are there other prime number combinations that can also be used?
This discovery is of great significance.
First, it can be determined that the function shaped by Wang Hao contains the law of prime number distribution.
Secondly, the initial discovery of the law is also of extraordinary value. Their participation in the research may be recorded in the history of mathematics together.
.......
Donggang Polytechnic University, Laboratory Building of Faculty of Science.
Zhu Kuiyang is sitting in a workshop, carefully studying the function content on the middle paper. That is Wang's function.
The paper basket next to it was already filled with used straw paper, with rows of complicated mathematical equations on it. There were also a lot of used papers on the table.
"What is the pattern? Why can we only get one set of values..." Zhu Kuiyang was a little confused.
He had the same judgment as Wang Hao and others, believing that his discovery would not be just a coincidence. The difference was that he was not sure. After all, it was Wang Hao who came up with the function. Wang Hao is the world's top mathematician, and he is just
A PhD student in mathematics.
Simply put, there is a lack of confidence.
The two classmates who were studying for their Ph.D. next to them looked at Zhu Kuiyang who was immersed in thinking and couldn't help but laugh and said, "Zhu Kuiyang, are you still studying that super complex function?"
"Give up, that's the function Wang Hao came up with. How many top mathematicians at home and abroad are doing research on it, how can we possibly develop it?"
"You are definitely very good, but if you put it on an international level...let alone compare with Wang Hao." What the two classmates said was hard to hear, but it was the truth.
Zhu Kuiyang is a very outstanding Ph.D. candidate in the Department of Mathematics, but the comparison object is only them, and it is nothing in the world.
There are many scholars at home and abroad who are studying the functions proposed by Wang Hao. They are just ordinary PhD students, and they are from Donggang University of Technology...
It must be admitted that Donggang Polytechnic University was founded in chemistry, and the School of Science is just an addition. "I'm just interested, and there's nothing to do anyway." Zhu Kuiyang explained nonchalantly. "I'm still thinking about graduation!"
The classmate next to me said, "We are about to graduate. What will we do after graduation? My parents suggested that I study abroad so that I can find a job."
"Isn't it too late to go abroad?"
"I'm going to go out and find a job. It can be in computer science or applied mathematics. I'll find a big factory to work at 996 first." "Zhu Kuiyang, can you stay in school?"
Zhu Kuiyang shook his head silently, "I guess I can't stay..."
When he thought about graduation, Zhu Kuiyang felt a little irritable. In his heart, he hoped to stay in school so that he could continue to study mathematics.
However, there is not much hope.
While he was thinking about it, his cell phone suddenly rang. The caller was his tutor Xing Shuchang. Zhu Kuiyang hurried upstairs.
Xing Shuchang's office was upstairs. When he saw Zhu Kuiyang coming in, he subconsciously sighed and said after a long time, "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 disappointed.
Although he has an excellent PhD in the Department of Mathematics of the School of Science, it is very difficult to stay in school. For one thing, he
I have no experience studying abroad.
Secondly, the mathematics major of Donggang Polytechnic is not considered to be strong in the first place, and its competitors are at least Shuimu University, Donggang University-level mathematics Ph.D.s, and some are turtles from famous foreign universities.
This chapter is not over yet, please click on the next page to continue reading! The competition in today's era is too fierce!
Xing Shuchang paused for a long time before continuing, "I really hope you can stay. Your level is no worse than those with Ph.D.s from prestigious foreign universities, but..."
He himself couldn't say it anymore, because the quota for staying in school was too high. Zhu Kuiyang was still a little short of it.
Even if he has his face, it is useless. After all, Zhu Kuiyang did not produce any dazzling results during his Ph.D., and his doctoral thesis was only of ordinary SCI level.
The atmosphere in the office is very silent.
At this time, a shout suddenly came from the door, "Zhu Kuiyang!" "It's right over here..."
"Classmate Zhu Kuiyang? Are you here? A student of Xing Shuchang?"
An old professor took the lead and walked in, accompanied by the administrative director. They walked in together and immediately said, "Classmate Zhu Kuiyang!"
"Is that you?"
"You are our school's outstanding doctor? You are indeed an outstanding talent!" Zhu Kuiyang was a little confused about the situation.
Xing Shuchang was also a little confused and immediately asked Professor Xiang, "Professor Xu, what's wrong? This is..."
Professor Xu immediately said, "You haven't read the news. It just came out. This student of yours is amazing. He actually solved Academician Wang Hao's function problem!"
"--?"
"Is it that complex function?"
"Yes! It's amazing. A Ph.D. student is so outstanding. I didn't expect that we at Donggang Polytechnic could train...ahem.
"Is Zhu Kuiyang graduating soon? Professor Xing, this kind of genius must be kept in the school!" Many people are already discussing it on the Internet.
The reason is that Wang Hao released a new message, confirming that the research on "Wang's function" has made progress, and clearly expressed his gratitude to Zhu Kuiyang.
"There is a new breakthrough in the study of functions.
We discovered a characteristic of the function: the prime number pair node structure has a fixed pair of prime numbers, and other prime numbers can be calculated through the function.
We have conducted dozens of sets of verification calculations to confirm the existence of the "prime number pair node structure". The research results will be published in "New Advances in Mathematics".
Based on this, I decided to name the new function 'higher-order particle function.
I would like to thank Zhu Kuiyang, a PhD student in the Department of Mathematics of Donggang University of Technology, who discovered the first prime number group and sent me an email.
That is a very meaningful discovery.
For the second research result, classmate Zhu Kuiyang played a big role..."