"You call it ......"

"Little research?!"

After hearing Zhang Zhiqiang's exclamation, Luo Dayong, Yan Jing and Zhu Ping looked over together.

They didn't hear the words from before.

Zhang Zhiqiang immediately turned around and explained with both hands and feet, "Wang Hao! He said that the counterexample of 196 was used to disprove the palindromic number conjecture. ”

"And, he said, it's a little research......"

The last sentence opened his mouth, but no one paid attention to him.

The palindrome conjecture is not so famous, but scholars who do scientific research in science and engineering majors generally know that even Zhu Ping immediately reacted, "Are you talking about the conjecture that can be read in the same order in reverse order when you add it back and forth?" ”

Zhang Zhiqiang immediately nodded vigorously.

Luo Dayong quickly looked at Zhu Ping, and a hint of surprise flashed in his eyes, as if to say, 'She actually knows'.

Everyone in the office knows it.

When a number is read from left to right and is read from right to left, it is called a "palindrome number".

For example, 494, 2002, 85458...... Wait a minute.

The palindromic conjecture is that the sum of any natural number and its inverse ordinal is added to the resulting sum and the inverse order of the sum...... After a finite number of steps, a palindrome number will eventually be obtained.

This is a mathematical conjecture that is easy to understand, but it is considered wrong by most mathematicians, because it is easy to use a computer to find some numbers, and after tens of thousands or hundreds of thousands of calculations, you still can't get the number of palindromes.

196 is a classic example of this.

Some professional organizations have repeated the transformation calculation hundreds of thousands of times based on 196, and still have not obtained the number of palindromes.

So the question is, is it possible to get the palindrome number if you continue to calculate, or will you not be able to get the palindrome no matter how many calculations you go through?

This is the palindromic conjecture.

The content of the palindromic conjecture is simple, but it has not been proven until now.

Luo Dayong and Yan Jing immediately came over to take a look, and after confirming that it was a palindromic research, they were also as surprised as Zhang Zhiqiang, and they were even more surprised that Wang Hao was going to post the research on his blog instead of submitting it to a professional mathematics journal.

Wang Hao said with a nonchalant face, "No need to do this, it's really a small study, I didn't do rigorous proof, but just gave a counterexample." ”

"Everyone knows that 196 is a counterexample." Zhang Zhiqiang said, "But no one can prove it." ”

Wang Hao didn't pay attention to them, and after the title was marked, he released it directly.

In his understanding, proving that 196 is a counterexample to the palindrome conjecture is indeed only a small study.

He only applied imperfect mathematical methods to study, or even a little bit of research, to complete the proof that 196 is a palindromic number conjecture counterexample.

This is just a small application of the S-level method of studying mathematics.

As long as the mathematical method is published, others can follow the method and solve problems such as palindromic conjectures.

So the most important outcome is the new mathematical method.

Seeing Wang Hao publish the content, Zhang Zhiqiang even covered his heart with heartache, and other people felt the same way, so why should they submit to top journals.

"What a shame, such a big discovery!" Zhu Ping knew when she would come over.

Wang Hao didn't care, "If you are interested in the proof process, you can go to my blog." ”

They all immediately returned to their seats and opened Wang Hao's blog to check it.

Although they said that they were very distressed that Wang Hao posted the content on the Internet, if they didn't bring it in, it would feel like a big gossip, so they forwarded the content of the article to others.

In just a few minutes, Seohai University knew everything from top to bottom.

In this matter, Zhu Ping is the most active, because she only glanced at the content and knew that she could not understand it.

It doesn't matter if you don't understand it, you can forward it to others.

forwarded it to the Internet, and even forwarded it to the school's group, with a sentence marked by the way, "I read it from beginning to end, and Professor Wang Hao's proof process is completely correct."

From now on, there will be no palindromic conjecture in mathematics! ”

Luo Dayong was carefully looking at the proof process, and found that a message appeared in the prompt followers, he glanced at the comments of the forwarders, raised his head and stared at Zhu Ping's face carefully with wooden eyes.

Zhu Ping also noticed that he and Luo Dayong looked at each other for a long time, feeling a little unbearable, and lowered his head with a blush, and then immediately looked over again, raising his eyebrows vigorously, as if to say, "What are you looking at!" ”

Luo Dayong scratched his face with his hand, shook his head and continued to look at the proof.

"Cut~~ Inexplicable!"

At the same time, Yan Jing also gave up after reading some of it, because there was a convergence and transformation content in it, which involved complex limit problems, and she didn't understand it and stopped reading it.

Zhang Zhiqiang is also patiently reading and understanding, he thinks he should be able to understand, because the proof process is only two pages, but some of the transformations are very ingenious, and they also involve some advanced limit transformations, which is not easy to understand.

Only Luo Dayong watched it with relish, and while reading, he took a pen and started to calculate.

Later, Zhang Zhiqiang simply asked Luo Dayong, and the two studied together, and the result was almost Luo Dayong talking while watching, and he himself found that there was indeed a big gap between him and Luo Dayong in terms of mathematics.

At the same time, more and more people are seeing blog content on the web, and the number of viewers is growing exponentially fast.

Wang Hao's meager has more than 500,000 fans, and the highest reached 600,000 before, but because he has not been meager for a long time, it seems to be a dead number, and the number of fans has been dropping.

Now I suddenly published a blog post and forwarded it to a meager message, which immediately attracted attention on the Internet, and I clicked in it and saw the title--

"A Little Research, Make a Record, Deny the Palindromic Number Conjecture".

When they saw the title, many people thought it was a small study, and they were also interested in scanning the content, of course, most people couldn't understand it, but they did the reading comprehension of the topic, and they were immediately shocked.

"Small research? Deny palindromic conjecture? Professor Wang Hao is in Versailles, right? ”

"It's 100 percent Versailles, it's Versailles!"

"Is this proof true? Is there a great god to help take a look? Denying a mathematical conjecture doesn't sound like a small study. ”

Wang Hao still has traffic value.

Soon, some media accounts forwarded the article, and the comments they made were, "Professor Wang Hao of Xihai University denies the palindromic number conjecture!" ”

"Professor Wang Hao actually posted the content of the palindrome conjecture on his blog, which he thought was only a small study."

"Refute palindrome conjecture? Is the proof correct? Expect answers from professional mathematicians! ”

In the office of the comprehensive building, only Luo Dayong can understand Wang Hao's proof.

If you put it on the Internet, it is impossible for people with more than 99.99% points to understand, and it is definitely not easy to find someone who can understand the proof process, because the vast majority of people with high math levels will not brush meager and blogs for a long time.

In addition, some really top scholars will not care about the proofs posted on the Internet, because there are many, many similar proofs.

For example, if you search for proofs of Goldbach's conjecture, you can easily find dozens of them, published by even some university teachers, but most of the content is not read.

The reason is simple.

If it's really proof of correctness, why not submit to a top journal and publish it on the web?

In this case, either there is a certain amount of research and it feels a bit wasteful if it is not published, or it is purely civil science.

However, it varies according to the case.

The specific person who makes the presentation is a very important matter.

Wang Hao is a special case.

He has completed the regularity proof of the Monge-Ampère equation, coupled with the more famous and influential demonstration of Artin's constant, and the results of finding Mersenne primes, he has become very famous in the mathematical community, and can be called a "top mathematician" in the world.

When Wang Hao publishes a mathematical argument, even if it is only published on the Internet, it will be reprinted and reported by good multimedia, and then more people will know about it.

At the Center for Mathematical Sciences at Mizuki University, a Ph.D. student saw the news on the Internet and immediately shared the news in the group of the Center for Mathematical Sciences.

And then everybody knew.

There are many similar things, and the speed at which information spreads on the network is unimaginable.

In just one hour, domestic institutions, including the Academy of Sciences, Mizuki University, Donggang University and other domestic institutions, all knew the proof on the blog posted by Wang Hao.

The news also quickly spread abroad.

It's just that because Wang Hao is not well-known in the world, few people will care about 'young mathematicians from other countries', coupled with the restrictions of communication channels, some people took screenshots and released the news, and they were not noticed by professional scholars.

Domestic, enough is enough.

In the Mathematical Sciences Center, Qiu Chengwen sat in his office, carefully checking the content released by Wang Hao, and while following the comprehension, he was also doing calculations with a pen.

He understood much faster than Luo Dayong.

The two-page proof, even if there is some difficult mathematics in it, is the same as ordinary mathematics for Qiu Chengwen.

It only took him more than ten minutes to figure out the contents, and he somewhat understood why Wang Hao called it a 'small study'.

This is indeed a very small study, the whole process only takes two pages, and it does not involve too advanced mathematical concepts, and the difficult ones are just a deduction of the limit convergence.

The derivation of this limit convergence is the essence of the whole proof.

It is precisely because of the derivation of the limit convergence that the problem is transformed from infinite to infinite, that it can be argued that 196 cannot become a palindrome number no matter how many transformations it is.

"What a clever way to do it, genius idea!" Qiu Chengwen made a comment, and then he found a person in charge and asked him to release the Center for Mathematical Sciences, recognizing Wang Hao's counterexample proof of 196.

For any mathematical argument, the recognition of influential institutions in the field is a very important thing.

Because many mathematical proofs are obscure and difficult for even professional mathematicians to understand, whether the proof process is correct or not needs to be evaluated by professional institutions in the field.

Even if it is a counterexample proof released by Wang Hao, it is definitely not something that ordinary people can understand, and it must have a knowledge base in the field of advanced mathematics.

This can wipe out more than 99.9% of people.

And that's just proof that there's nothing complicated involved.

Speaking of complex arguments in the mathematical community, the most famous is the proof of the Fermat conjecture by Andrew Wiles, a mathematician of the Eagle Nation, which is more than 100 pages in total and requires six judges to review each part.

When Andrew Wiles first published the results, he made three presentations at the prestigious Newton Institute, but the proof process has still not been confirmed.

So how do you determine whether such a complex proof is correct or not?

This can only be judged by institutions.

Internationally, among the top mathematical institutions, including the Clay Institute, the Newton Institute, the Institute for Advanced Study at Princeton University, etc., a certificate can basically be confirmed to be correct as long as it is recognized by two or more institutions.

Even if it turns out that the process is incorrect, no one will deny it, unless one day someone actually points out the mistake.

The Center for Mathematical Sciences of Mizuki University also has a certain influence in the world, and they have issued a confirmation that Wang Hao's proof is correct, and it is also authoritative internationally.

Domestically, it is more authoritative.

After the announcement of the Mathematical Sciences Center of Mizuki University, more professional mathematicians got the news and immediately went to check out Wang Hao's paper posted on his blog.

When a blog post receives so much attention, the number of views on the blog will increase dramatically, and it will also cause heated public opinion.

Soon.

There is an additional message in the hot search on the Internet that 'Wang Hao denies the palindromic number conjecture'.

Even if most netizens can't understand the content, they can't stop their enthusiasm for commenting, "This is the great god!" Whether it proves a mathematical conjecture is just a small study. ”

"Others blog to talk about mood, life, and social events, but Professor Wang Hao directly posted mathematical papers and regarded the blog as an academic journal ......"

"Today is really increasing my knowledge, I know one more mathematical conjecture, and it is wrong, I hope this knowledge can help me get a full score in the math test!"

Scholars in the field of mathematics feel that it is too wasteful for Wang Hao to post his research on the Internet.

If it were them, they would at least publish at the conference, and they would also increase their fame, or they would also vote for a mathematics journal, or even a top mathematics journal.

This is the case for many scholars, including mathematics professors at Seohai University.

For example, Zhou Qingyuan.

Zhou Qingyuan was very concerned about Wang Hao, and after knowing the news, he simply came over directly, "Don't you plan to publish this new achievement?" Can it be at the top of the magazine, right? ”

"Hard, isn't it?"

Wang Hao said, "This kind of small proof is only two pages of content, and it can be published directly, and it should not affect the publication of journals if it is published on the Internet, if there are journals interested, I can also publish it in the past." ”

Zhou Qingyuan noticed that Wang Hao didn't care about it, and couldn't help but pull the corners of his mouth, he also studied the content of the paper, and found that the core was indeed only a clever limit transformation.

However, the results have been remarkable!

Although it is only an ingenious limit transformation, does it really prove the palindrome number conjecture?

However, Wang Hao has already published it on his blog, and he also stated that he will not refuse to publish his paper in journals and magazines again, and he is not good at saying anything.

After Zhou Qingyuan left, Wang Hao continued to do research, he glanced at the inspiration value displayed on the system task, and couldn't help but feel a little depressed.

[Task 3]

[Inspiration value: 94 points.] 】

He just used some small ideas from the study to prove that the counterexample of 196 disproves the palindromic number conjecture, and this study only increased the inspiration value by two points.

Wang Hao's goal is to complete the study of the entire mathematical method.

The direct application of this mathematical method is to prove the Kakutani conjecture, and there is no doubt that the Kakutani conjecture is the real big result compared to the palindromic number conjecture.

As he continued to do his research, he always found that he could not prove Kakutani's conjecture, and all that was missing was inspiration.

"Do you have to wait for class?" Wang Hao felt a little depressed because his fastest class was also in the next week.

I feel like I can't wait!

"Why don't you look into something else?" Wang Hao thought about it, found a very interesting numerical problem, and then began to do research slowly.

It was at noon.

After Zhang Zhiqiang had lunch, when he returned to the office, he saw Wang Hao researching with his head bored, and asked curiously, "What kind of research is this time?" Didn't you just disprove the palindrome number conjecture? ”

Wang Hao said, "Let's do a small study, I want to prove the 6174 conjecture." ”

The content of the 6174 conjecture is also very simple, give any four-digit number, rearrange the four numbers from large to small into a four-digit number, and then subtract its inverse ordinal number to get a new number.

If the new number is not 6174, continue the previous cycle.

If you continue to do this, if any of the four digits are not identical, you can perform the above transformations up to 7 times, and the number 6174 will appear.

This study is also known as the "Martin Conjecture-6174 Problem" in the international mathematical community.

Zhang Zhiqiang thought for a moment and said, "6174 guess? That's not a guess anymore, the computer can be directly overwritten. ”

"So I'm trying to prove it mathematically." Wang Hao said as a matter of course.

Zhang Zhiqiang gave him a thumbs up, and didn't care too much, he returned to his seat, and began to listen to the song to relax, and when it was half past one, he had the heart to do some research, but he still couldn't help but open the meager and gossip about the news, especially about Wang Hao's conjecture of the number of palindromes, and it was also interesting to look at the comments of netizens.

Because...... Wang Hao is by his side.

At this time, he opened the main page and saw a message posted by a follower--

"A small study that proves the ...... of the 6174 problem"

“？？”

Zhang Zhiqiang was stunned for a moment, he turned his head mechanically, and saw Wang Hao operating the mouse, and he looked towards the computer screen.

Really!

A new blog post called "A Little Study, Proving the 6174 Problem."

"You're not going to prove it already, are you?"

"That's right!" Wang Hao nodded.

Zhang Zhiqiang stared at him for a long time and muttered, "I feel...... You're not proving a mathematical conjecture, you're doing a math problem, and it's the simplest of ......"

(Ask for a commuter pass)