Chapter 177 Knowledge is priceless and knowledge has no borders
Large classroom.
Wang Hao stood on the podium and explained his ideas and methods for proving Goldbach's conjecture.
"I started with group theory. Group theory is a good analysis method, and then it involves coverage analysis."
"This idea is to use analysis to cover Goldbach's conjecture. As long as it can be proven that the combination of two prime numbers can cover all even numbers, it will naturally be proven that any even number can be decomposed into the sum of two prime numbers..."
"1 plus 1 is not the only one that equals 2. There are many, even most even numbers, that can be divided into more addition combinations of prime numbers."
"The covering method does not need to prove all combinations, it only needs to cover all even numbers..."
Wang Hao began to explain seriously.
Everyone in the audience listened very carefully, even more seriously than before, because they heard a brand new idea, an idea that they had never heard before.
Especially those who have studied number theory, including some mathematics professors, feel that this idea may be feasible.
There are also people who are worried about Wang Hao, such as Zhou Qingyuan.
He felt that with such a good idea, he should do his own research instead of telling everyone publicly.
However, he could not convince Wang Hao, and Wang Hao had already started to explain, so he could not go to the stage to stop him from talking.
He could only listen patiently and try to understand.
Wang Hao not only explained his own ideas, but also explained them in great detail. He explained from the overall idea, and then elaborated on some related operations.
After explaining for almost half an hour, Wang Hao stopped and said, "This is just a proof of concept."
"Everyone can follow this idea and think about it. I think it is possible to complete the proof of Goldbach's conjecture."
"Of course, whether it can be proven or not depends on your personal judgment. If someone can use this method and idea to complete the proof of the conjecture faster than me..."
"I won't ask for his copyright, I will congratulate him."
The last sentence was a bit of a joke, but it also made everyone feel that open and generous temperament.
Most people would hold back on research like this, unless they find it impossible to prove it in the end.
Some mathematicians will publish some unfinished proofs, because at the end of their research, they will find that they cannot complete the research at all, and it would be a pity not to publish the research.
That’s why the content will be made public.
Now what Wang Hao said is obviously only part of the proof, and he is definitely able to complete the proof of Goldbach's conjecture. At the same time, the proof idea is also very innovative, and many people can't help but think deeply about it.
Wang Hao publicly stated his unfinished research and the method that could very well prove Goldbach's conjecture. He also mentioned that if others could prove it, he would congratulate them?
What kind of spirit is this?
Science is open, but honor for research results belongs to individuals.
Many people feel ashamed if they think about it carefully.
They can't understand.
At the same time, many people carefully recorded the content. They felt that Wang Hao's idea was very reasonable. If they thought about it, they might be able to complete the proof.
Suddenly, my heart skipped a beat.
This is the proof of Goldbach’s conjecture!
Even if the proof is completed according to the ideas given by Wang Hao, the honor of the proof must belong to the individual.
Wang Hao walked off the stage with a smile on his face.
He waved to a few people in the front row, nodded and said a few words, then excused himself from being tired and left the classroom.
A group of people started talking, "Wang Hao really deserves to be Wang Hao. This kind of research can be published!"
"Very...great!"
"I really don't want to describe him as great, but I don't think I can do such a thing."
"If I could complete a study like this, even if it was just the beginning, I wouldn't tell anyone else."
"I can't do it either..."
A lot of math Ph.D.s and professors admit that they cannot do it, and they feel nothing to be ashamed of.
At the same time, for Wang Hao who was able to do it, I felt like the mountains had stopped.
Zhou Qingyuan was still struggling with Wang Hao's disclosure of his research content. He sighed and thought for a long time, and said to Wang Huanxin next to him, "Wang Hao, I feel like I can no longer understand him. Maybe, this is a genius. His ideas are different from ordinary people."
Same."
He kept shaking his head as he spoke.
Wang Huanxin said, "I have never understood it, and I have nothing to say."
"But even if he says it, it has nothing to do with us. We are already old, Lao Zhou, you have to admit that for this kind of research, I will give you a start and tell you that this can prove Goldbach's conjecture.
Can you prove it from the beginning?"
"Right."
Zhou Qingyuan shook his head with a wry smile.
To put it bluntly, what Wang Hao said is just an idea, not saying whether it can really prove Goldbach's conjecture. Even if it can be proved, how many people will continue to study it and have the ability to really prove it?
Now even Wang Hao himself has not proved it. How many more talented mathematicians can be found in the world than him?
However, none of them noticed that there were a few words in Wang Hao's words——
Faster than me.
…
Wang Hao thinks that no one can be faster than him.
He returned to the director's office.
When you focus on doing research, the director's office is a good place. One reason is that no one will disturb you, and you can also ask students or colleagues to help you deliver a meal.
The supporting facilities here are also very complete, and there are rest rooms inside, so you can stay there 24 hours a day.
He entered the office, sat down and made a cup of coffee before turning on the system to check.
【Task 2】
[R&D project name: Proof of Goldbach’s conjecture (Difficulty: S.)]
[Inspiration value: 147.]
(Tip: You can use 100 inspiration points to assist in obtaining R&D-related inspiration and knowledge correlation.)
So full of inspiration!
Wang Hao was really satisfied with the results of the open class, especially when he explained his thoughts at the end, which directly increased his inspiration value by 64 points.
This was completely unexpected.
"Probably because the correlation is very strong, even direct."
Wang Hao thought, "Publish your research ideas, and others will follow suit. By gathering everyone's ideas and inspiration, you can naturally gain a lot of inspiration value."
He immediately consumed 100 inspiration points.
"Use Inspiration Points!"
[Task 2, inspiration value -100.]
Instantaneous.
The knowledge and inspiration about Goldbach's conjecture immediately formed a direct path in my mind.
The direction is clear, and the path to proof is also clear.
What is missing now is just writing out the content and sorting it out.
Wang Hao still frowned, "It's not easy to write it out. It will take a long time to write so much content."
"It involves some complicated aspects and needs to be carefully considered. It will probably take a week."
“It’s so difficult!”
Decided!
Retreat!
If you don’t complete the proof of Goldbach’s conjecture, you will never leave!
…
When Wang Hao gave an open class to explain Goldbach's conjecture, only those who participated in Xihai University knew about it. However, because he publicly stated his thoughts and clearly expressed his thoughts, he could prove Goldbach's conjecture.
It's hard to say exactly how many people believe it, but the ideas and ideas he said are indeed very attractive.
Some Ph.D.s in mathematics, lecturers, and professors began to think carefully when they returned home the same day.
Of course, more than 99% of people cannot make any progress even if they think about it.
Some people found that they couldn't figure it out at all, so they simply posted the content online and praised the proof ideas shared by Wang Hao.
This is a gimmick to attract more likes and comments, and let others know that they know Wang Hao and have listened to Wang Hao's entire open class.
I can also proudly say, "Did you see that? At Xihai University, you can not only listen to Wang Hao's open lectures, but he will also share some good ideas in mathematics."
"This time I shared the idea of proving Goldbach's conjecture, which I have never heard of before. It is his own research."
"Wang Hao is such a person. He doesn't care if others know about his research. Maybe it's because of his self-confidence, or maybe he thinks that knowledge belongs to everyone?"
In fact, the person who shared the news did not know why Wang Hao's ideas and train of thought were so powerful, and it was even less possible to confirm that his thoughts and train of thought could prove Goldbach's conjecture.
Of course, no one can be sure of the latter.
He just thinks Wang Hao is very powerful and wants to use this gimmick to attract some likes and comments on the Internet to achieve some psychological self-satisfaction.
In fact, it is impossible for anyone to read similar content unless Wang Hao is involved.
If you search on the Internet, you can find many "ideas to prove Goldbach's conjecture", you can also find some rough proofs of Goldbach's conjecture, and there are even articles that are directly proof of Goldbach's conjecture.
No one reads these proofs at all.
Professional people don't bother to read it; unprofessional people can't understand it.
However, it was different when Wang Hao's name was added. After the news was posted on the Internet, it briefly attracted some likes and comments, but no one paid attention to it subsequently.
One reason is because we don’t know whether the news is true or false.
Secondly, it is impossible for more than 99% of people to understand it, and they will lose any interest after just one glance.
In addition, even Wang Hao himself has not completed the proof of Goldbach's conjecture, so how can he be sure that this idea and idea can complete the proof?
But there are also professionals among them.
Many people in the mathematics circle knew the news, found relevant posts, and carefully checked the contents.
They couldn't help but think about it after following the content, and they were also sure that it was probably Wang Hao's research idea, because the content was very professional and the idea provided was a new way of proof.
As long as I think about it, I feel that it is possible to make progress in this direction.
This is a very good content.
At the same time, some people also feel the difficulty.
Wang Hao's ideas are not purely about analyzing number theory. Some mathematics Ph.D.s with good grades can barely understand it, but to continue to think deeply, you need a very rich knowledge reserve.
To be precise, one needs to be proficient in analytic number theory, function theory and mathematical analysis.
This is the most basic.
This basis immediately eliminated most scholars in the field of mathematics.
For most scholars who study basic mathematics, mathematical analysis is the hardest thing to master, because most theoretical research does not require advanced mathematical analysis methods, and mathematical analysis includes many subjects.
Probability theory, functional analysis, complex analysis, real analysis, etc. Many subjects are related to mathematical analysis. It is very difficult to master mathematical analysis.
Those scholars who specialize in applied mathematics research are proficient in mathematical analysis. At the same time, it is difficult for them to be proficient in analytic number theory. In the view of many scholars, analytic number theory and mathematical analysis are simply two fields that have no overlapping relationship.
So just the basic requirements exclude more than 95% of mathematicians. They just think the idea is good, but when they think about it, they find that they have limited abilities and cannot figure it out at all.
Of course, there are also some scholars who meet the requirements and they start to think deeply.
For example, Xu Qiliang from the Mathematical Science Center of Shuimu University.
Xu Qiliang specializes in analytic number theory research. Last year, he applied for a project related to prime number research, but failed due to the number of approvals. His application for outstanding youth was rejected.
This year, I applied for a national-level general mathematics project.
He knew whether the news was told to him by other colleagues in the afternoon of the next day, and then he seriously thought about and researched it, and even conducted more in-depth thinking and deduction on the original basis.
If we use numerical examples to illustrate, what Wang Hao explained is 15% of the proof of Goldbach's conjecture.
Xu Qiliang spent an afternoon and advanced to 18%.
Then, the research got stuck.
Xu Qiliang felt that he could continue to think more deeply. He simply found Qiu Chengwen with his research and asked, "Teacher Qiu, do you think Wang Hao's idea can complete the proof of Goldbach's conjecture?"
Qiu Chengwen shook his head and said, "It's difficult. No one can be sure which method is effective. It's unexpected that Wang Hao can announce it. I also read it and I think there is a chance. It's hard to say..."
He is already old.
When you are over 70 years old, it is difficult to have new ideas.
Even when doing research, I feel powerless. I can only think about it as a whole and cannot make accurate judgments.
He continued, "You'd better make your own judgment. This method is very novel, but it's impossible to prove such an important conjecture using just one method."
"You can continue to think along the lines of thought. Even if it is not proven, you may be able to gain something."
"The most important thing about the proof of Goldbach's conjecture is not the result, but the process. Some scholars have developed new mathematical methods relying on the proof of Goldbach's conjecture."
"So, some people say they hope this conjecture can never be proven."
Qiu Chengwen shook his head and said with a smile, "But from my understanding, it's mainly because they didn't prove it."
Xu Qiliang also laughed.
"Keep thinking about it."
"Wang Hao was able to publish the method probably because he encountered difficulties and did not complete the research."
"Now that it has been announced, let's think about it, and any subsequent research results will not be considered plagiarism."
"Um."
Xu Qiliang nodded assuredly.
…
Wang Hao's ideas were just a flash in the pan on the Internet, and few people paid attention to them, but they spread among the top mathematics circles.
This is mainly because only scholars in the top mathematics circles can understand the content and are qualified to conduct research along the lines of thought.
Two days later, the news spread internationally.
It was an international number theory exchange conference.
Although it is just a small conference held in Austria, it will also focus on conjecture issues in number theory.
Scholars who participated came up with the content.
Everyone looked at it and discussed it together, and they all thought it was a good idea, but most people just listened.
No one is sure what method can prove Goldbach's conjecture, even if the method comes from the famous young mathematician Wang Hao, but so what?
He said he can prove it, can he prove it?
Simonson, a mathematics professor from New Zealand, also attended the meeting. His main field is partial differential equations, and he also conducts research on analytic number theory, but he has no decent results.
After Simonson attended the meeting, he thought about it carefully and felt that Wang Hao's ideas and methods were very novel. He couldn't help but admire in his heart, "Wang Hao, he is really a genius!"
Mathematics is a subject for geniuses.
Simonson was not jealous, he thought of his Chinese student Tang Kai.
Some time ago, Tang Kai made him earn three thousand US dollars, and all he did was solve a partial differential equation.
Later, he contacted Tang Kai several times and learned that Tang Kai had become an online blogger and was very popular.
"Millions of fans, post a Weibo post, and when it becomes popular, it will be read by hundreds or tens of millions, with countless comments!"
What kind of number is this?
New Zealand's population is only five million.
If you can post a message and have five million people read it, it means that everyone in New Zealand has read it, and it will be the hottest topic.
Simonson simply couldn't imagine what it was like to post a very ordinary piece of content and have the number of views measured in "ten thousand".
In his concept, Tang Kai became a super internet celebrity.
Very powerful!
Very powerful!
He must be very rich...
So he frequently talked to Tang Kai to exchange feelings between teachers and students, hoping to earn the next three thousand US dollars and make some extra money, which would definitely put him in a good mood.
Of course, you also need to show off your knowledge.
That's it now.
Simonson sent a message to Tang Kai, "I have been studying number theory issues recently and found a good idea. If I think about it, I may prove Goldbach's conjecture."
Tang Kai is a professional blogger. He has been in front of the computer for a long time. When he saw the message, he immediately replied, "What do you think?"
"You are interested in?"
"Of course." Tang Kai said, "I am a technology blogger, and I have always paid close attention to the study of mathematics."
"Tang Kai, you are my best student ever, but you should know that knowledge is priceless..."
Tang Kai understood Simonson too well.
They chatted for several days, and Simonson always mentioned "remuneration" frequently. He said simply, "Teacher Simonson, if your idea is good, I am willing to fund the purchase."
He does.
The solution to the equation provided by Simonson last time helped him solidify his "academic master" character. Because of the topic traffic at that time, he even gained 500,000 followers in one go.
If your personality is stable and your fans grow, your income will naturally increase a lot.
Simonson considered the words for a moment and then said, "This is a very good idea. Tang Kai, I believe in your character, but you have to give me a deposit first. If you think it's good and willing, then you can
It depends on what you think about paying part of the fee."
He did not say how much it would cost, because even if it was a hundred dollars, if he could get it, he would have earned it.
"Alright alright!"
Tang Kai felt that it was better to make friends with Simonson. If there were complex problems to be solved in the future, having a mathematics professor like Simonson would give him a backing.
He transferred two thousand dollars.
After Simonson received the money, his tone changed, "Tang Kai, you have always been my best student."
"Knowledge has no borders, and I am willing to share this idea with you."
"This idea has been praised by many top mathematicians and is considered to be very likely to prove Goldbach's conjecture..."
After Simonson finished speaking, he added, "Wait a minute, I'll sort it out and send it to you."
He really sorted it out.
It just makes some changes to the content, symbols, columns, etc., so that people can't immediately tell that the content is the same as the previous meeting.
This is enough.
He knew that with Tang Kai's level, even if he put the two copies together, he couldn't tell the difference at all.