After many verifications, Wang Hao and others determined that "5 and 17' are a prime number pair node of the function. By substituting other prime numbers and solving the equation transformed from the function, another corresponding prime number can be obtained.
This discovery is very significant.
Until now, mathematics has not been able to find an equation that can definitely obtain a prime number solution. Everyone realizes that functions may contain some pattern of occurrence of prime numbers.
They summarized the research and submitted the compiled paper to "New Advances in Mathematics", and then Wang Hao published a public message on the Internet.
That was the news released in Weibo.
Wang Hao's meager account has tens of millions of fans. Any news he releases can arouse heated discussions, and releasing relevant research progress can attract the attention of countless media.
When the news was actually released, it quickly attracted a lot of discussion.
The function that Wang Hao came up with has been reported before, and he himself publicly explained it. Later, he also issued a personal reward, announcing that anyone who made a breakthrough in the research of the function would be given a high bonus personally.
The bonus started at 100,000 yuan, and then gradually increased to 500,000 yuan.
The increase in the amount of bonuses can also be seen that Wang Hao attaches great importance to function research, and it also shows how difficult it is to study functions.
Wang Hao has always been one of the world's top mathematicians, especially in the fields of number theory and partial differential equations. It is not an exaggeration to say that he is "the first person, because he proved Goldbach's conjecture and solved the Millennium Seventh Problem." One of the big mathematical puzzles is the NS equation problem.
For the current function research, Wang Hao personally announced that he will provide bonus support, and the bonus is said to be starting at 500,000, which will naturally attract many scholars to participate.
However, research has been slow to progress.
Many scholars in the field of mathematics even believe that functions have no meaning.
Wang Hao suddenly announced that there was a breakthrough in research, which naturally attracted a lot of attention, and even ordinary people were very concerned.
From the perspective of ordinary people, Wang Hao is different from other mathematical physicists.
What I’m talking about here is not his achievements, but his research field. Many mathematicians and physicists are also at the forefront of science, but the content of their research is completely incomprehensible to ordinary people.
Many mathematicians are also doing cutting-edge research, but their research is incomprehensible to ordinary people and is basically out of touch with technology. Especially theoretical physics, and basic mathematics.
For example, most of the research on basic mathematics cannot even understand the titles, so naturally they are not interesting. Wang Hao is different.
Superconductivity and antigravity are directly related to science and technology. Current research is also theory. It has indeed annihilated the most basic content of physics, especially the research on basic mathematics. Some of the top research in the disciplines are even difficult to understand the title.
Wang Hao's research is different. He not only studies theory, but also studies technology. Anti-gravity technology and superconducting theory are all direct scientific and technological research.
He led the team that built the most talked about anti-gravity aircraft.
The function presented now is indeed incomprehensible to ordinary people, but it has been discussed once before, and many scholars have popularized Wang Hao's research, so people can naturally understand its significance -
"The study of Wang's function is related to the mass point structure."
"If we can complete the structure of the most basic mass point of annihilation physics, we can then connect the other three microscopic forces and achieve the unification of physics."
How amazing is this?
In the world of theoretical physics, string theory is also considered a grand unified theory, but almost everyone knows that it is impossible. The grand unification of string theory is just a fantasy.
One reason is that many contents of string theory, including the eleven-dimensional space and the brane universe, sound a bit unreliable, difficult to apply to real life, and deviate far from conventional physics.
Also, importantly, string theory has not been proven.
String theory believes that the basic unit of matter is string, but there is no experiment to verify it.
an untested theory
, even if its theory can be unified, it cannot be determined whether it is true. The physics of annihilation is different.
Because it is directly connected to research in antigravity, superconductivity and other directions, the theory has been promoted to "physics" and is recognized by major international institutions.
Under this background, annihilation physics can achieve the unification of physics and will be recognized by many people.
In short, many people know that the function Wang Hao came up with is of great significance.
Now that Wang Hao has publicly announced the progress of his research, he will naturally become the focus of public opinion, and the information he released is indeed very shocking.
"If my understanding is correct, Wang Hao is saying that after substituting a few prime numbers, the transformed equation can still find prime numbers?"
"And there's more than one group!"
This point alone is astonishing enough. Even students in ordinary universities can roughly understand that there are many "prime number solutions" and how significant their significance is. This may indicate that the so-called "higher-order mass point function" , that is, the 'Wang's function', which contains the law of prime numbers.
The law of prime numbers can be said to be the ultimate pursuit of basic mathematical research.
Many people know that there are no rules for the existence of prime numbers, but based on the principle of the existence of prime numbers, theoretically there are rules.
This is the paradox.
Theoretically, there are rules for prime numbers, but in fact, no rules can be found at all.
Because of this, there are so many mathematical conjectures related to the existence of prime numbers in number theory.
Some mathematicians believe that “if we can crack the law of prime numbers, we will be able to understand the underlying mysteries of the universe.” This statement is not an exaggeration at all.
When you think about it from this perspective, you can see how shocking it is that Wang Hao published content saying that there are multiple groups of 'prime solution points' for higher-order particle functions.
There are two contents explained at the end of the message. One is related to Wang Hao's decision to reward Zhu Kuiyang with 800,000 flower coins, which can be regarded as fulfilling his promise; the other is related to the release of results, and the research paper will be published in the new issue of "Mathematics". "New Progress".
At the same time, Zhu Kuiyang will also be listed as the author of the second article "Research on the Specificity of Higher-order Particle Functions", and his contribution to the research will be specially explained.
With this, many people also discussed Zhu Kuiyang.
If a well-known scholar in the field of mathematics helps Wang Hao in research, it doesn't sound like a big deal.
It would be different if he was a PhD student. Many people exclaimed on the Internet, "Zhu Kuiyang is definitely a genius!"
"The Ph.D. students at Donggang Polytechnic are amazing, but the Mathematics Department of Donggang Polytechnic...ahem..." "It's really amazing. I can't imagine that I can help the great master Wang Hao in my twenties!" "
Everyone knows that Zhu Kuiyang has a bright future.
However, in the field of mathematics, many scholars are also surprised by Zhu Kuiyang, but the truly top scholars are more concerned about the research of higher-order particle functions themselves.
no doubt.....
When a function is sure to have many 'all prime points', it is definitely very unusual. However, the information released by Wang Hao is also very vague. It is not sure whether there are 'countless all prime points' or only a few all prime numbers. point.
The meaning of the former is not at the same level as the latter. They didn't wait long.
Wang Hao is no ordinary scholar, and his contributions will be published immediately.
Bruce Pulitzer, the editor-in-chief of "New Advances in Mathematics", is also an old friend. After Pulitzer received the submission, he knew what to do immediately.
Leave it intact and put it on the official website quickly!
In order to achieve the maximum effect, there is even no charge for papers placed on the official website. As long as you register as a member, you can download them directly.
So after waiting for less than a day, the introduction and download links of the two papers can be found on the homepage of the official website of "New Advances in Mathematics".
The name of the first paper is "Constructing Higher-order Particle Functions Based on Riemann Functions". The first author of the paper is Wang Hao.
Ding Zhiqiang and Qiu Hui'an were
Mark other contributing collaborators.
The content of this paper is very complex, describing the derivation process of higher-order particle functions.
The name of the second article is "Research on the Specificity of High-Order Prime Functions", which means that it was discovered that '5, 17' is the prime number pair node of the function.
"We have done twenty-three verifications, and the numbers are 19, 29, 31..." "All verifications can correspondingly find another prime number."
This is an explanation of the 'higher-order particle function'.
The final summary of the paper also said, "23 verifications do not mean that it is 100% accurate, but we are not trying to prove a mathematical theorem, but to illustrate the specificity of higher-order particle functions."
Many mathematics scholars saw the content of the second paper and immediately began to verify it. Everyone is picking up the materials and the flames are high!
In just a dozen hours, mathematicians from all over the world published the numbers they had verified and said they had obtained another prime number.
Although the verified numbers do not exceed one thousand, to a certain extent, they can already illustrate the pattern. 5, 17, are indeed the prime number pairs of nodes of the function.
When a function contains countless prime number points and the distribution is very dense, it cannot be described as coincidence.
Of course, mathematics is a rigorous subject.
Many institutions are organizing special teams to conduct further verification, and the numbers they have verified exceed 1,000.
Such verification is more convincing.
If it is only verified by solving the problem, it will be very difficult to substitute a larger prime number. After all, the human brain's operating speed is limited.
Some institutions wanted to make a plane image of the corresponding function after substituting '5 and 17', but they soon found that they could only create an approximate image, because after substituting individual numbers, in most cases, the computer simply cannot It cannot be solved directly.
At this time, the top mathematical community is focusing on another issue——
"High-order particle function, are there other prime number pairs of nodes?"
"How many prime number pairs are there in the function? Is it a fixed number or an infinite number?" These two questions are so attractive.
5 and 17' are a prime number pair node of a higher-order particle function, so are there other prime number pair nodes? Many teams have begun to conduct research on the problem.
In fact, just like Mersenne prime numbers, mathematicians can find the rules of Mersenne prime numbers and are interested in discovering Mersenne prime numbers.
A top mathematician commented, "The study of prime number pairs of higher-order mass point functions is likely to become a major direction of prime number research in the future."
"This alone is enough to show that higher-order particle functions, also known as Wang's functions, have extraordinary mathematical research value!"
Donggang Polytechnic University.
Since Wang Hao released the news, Zhu Kuiyang's life has become completely different.
Zhu Kuiyang was in a very embarrassing situation before. He hoped to continue to engage in mathematics research, but he could not stay in school to engage in teaching and research.
If he can't stay in school, he can only go to a much inferior school, or go out to find a job and change his industry completely. It's different now.
Several powerful deans at Donggang Polytechnic University, including department leaders, came over to talk to Zhu Kuiyang in a friendly manner, persuading him to stay at the school and promising to be promoted to associate professor after one year of work.
One year of work is due to the requirement of associate professors, who need to engage in teaching work for one year.
Now the school is afraid that Zhu Kuiyang will leave directly. By then, it will not only be a loss of talents, but the reputation of the school may also be damaged.
Zhu Kuiyang not only helped Wang Hao's research and signed the most popular mathematics paper, he also became a "recognized genius."
If Zhu Kuiyang graduates and leaves school, it may cause some controversy!
Zhu Kuiyang felt like it was a dream. He was confirmed to be able to stay in school and received an RMB 800,000 bonus from Academician Wang Hao, making him the envy of his classmates.
even..
..
Even before he officially graduated, the school "urged" him in advance to let him think about the research topic after taking up the job, and confirmed that it would provide financial support.
This kind of treatment is simply unthinkable!
Zhu Kuiyang was not worried about the subject at all. He had already decided to study Wang's function.
This direction is what he likes. Wang's function is also a brand new direction in mathematics, and it is likely to become a popular direction in the future.
Now engaging in relevant research can be regarded as one of the first steps to take action.
There are many scholars who hold similar ideas to Zhu Kuiyang. Every scholar knows that Wang's function has great potential and contains rich treasures.
Now is the early stage of mining, and it is easier to dig out better content in the early stage. We must hurry up!
Many teams think the same way, not just mathematics teams, but also computer teams. The Wang function is very complex, and it is very, very difficult to develop something using mathematical means.
Computers are different.
Wang Hao’s second paper directly helped some teams point out the direction.
A team from Stanford University determined the direction almost on the same day. They wanted to verify the prime numbers within one hundred thousand to see if there are other prime number pairs of nodes of the function among the numbers within one million.
The method of this research is also very simple, that is, using a computer to perform coverage verification.
No matter how complex the function is, it is only a quaternary function, and because of its particularity, you can first substitute a minimum odd prime number 3', and then fix the two prime numbers as 'prime number pair node candidates' to transform the function into a complex equation. .
The next step is to perform coverage verification.
The computer does not need to analyze the converted equation, but directly substitutes it into the equation. Starting from the number "3', verify 3, 5, 7... and even go to more than one million prime numbers to see if there are numbers that can make the equation The calculation results are the same on both sides.
The results are the same and recorded.
If the results are different, the next set of prime number pair node candidates can be verified.
This calculation method is very fast, and writing the program is relatively simple. The only thing is that there are a large number of prime number node candidates that need to be verified.
So they applied to use Stockge's supercomputer.
