This self-study room is open all day, but Lin Xiao didn't come all day, which shows that he probably encountered a problem.

Xu Hongbing couldn't help but nodded in satisfaction. His ability to formulate the questions still hasn't faded.

At this time, he also saw Lin Xiao getting up from his seat and walking over, but what made him puzzled was, why did Lin Xiao come here with a stack of papers in his arms?

However, he only thought about this question for a while, and Lin Xiao had already walked to the podium.

Xu Hongbing stopped thinking about it, and said with a smile: "How is it? I gave you the question yesterday, how do you feel?"

Lin Xiao first said with emotion: "It's too difficult."

Xu Hongbing immediately laughed twice, and said: "It should be difficult. You should have no problem with the first four questions, but the latter questions are all difficult problems at the level of college mathematics competitions, and they are also questions for the mathematics professional group. You After all, it is self-study, and the self-study time is not long, so it is right to find it difficult and unable to do it.”

"Ah?" Lin Xiao was stunned for a moment, and then said: "Teacher, it's really difficult to be stumped, but the main reason is that the ninth question is more difficult. Among the first eight questions, the first four questions are indeed no problem. I seem to be able to write it in 10 minutes. It's over, but the fifth to eighth questions are indeed difficult, and it took me nearly seven or ten minutes to finish."

After finishing speaking, he was relieved and said, "It turns out that the following questions are all college mathematics competition questions. No wonder it is so difficult, especially the last question. It must be the final question?"

Seeing him sighing there, Xu Hongbing only had a big question mark in his head, what the hell is the ninth question?

Did I get the ninth question?

Maybe Lin Xiao made a mistake?

Also, Lin Xiao said that it took him 10 minutes for the first four questions, but it took him 10 minutes for the last four questions. It means that he finished writing in one and a half hours?

He was shocked, and it was fine to finish the first four questions in 10 minutes, and he finished the four competition questions in 10 minutes.

Are you kidding me?

Shouldn't it be on a certain question?

He couldn't help asking again: "Have you finished writing? All the questions?"

Seeing Xu Hongbing's surprised look, Lin Xiao nodded with a smile: "Yes, all the questions."

He felt that it was natural for Xu Hongbing to be surprised. After all, they were all contest questions. If he was a senior high school student who could solve that kind of question, it would not be too much for his teacher to be surprised, right?

Xu Hongbing looked at Lin Xiao and nodded again. Suddenly he felt that he had encountered something terrible. He waved his hands quickly and said, "Show me your eight-question process."

Eight questions?

Hearing Xu Hongbing's words, Lin Xiao took out the first two sheets from the stack of papers in his hand, and handed them to Xu Hongbing.

These two pieces of paper are the first eight questions.

Xu Hongbing picked up the first piece of paper. The four questions on it were all simple ones. After a brief reading, he was sure that Lin Xiao had done everything correctly.

This is nothing, he quickly turned over the second piece of paper.

Looking at it, he also took out his glasses case from his arms, took out the glasses from inside, put them on, and continued to look at them seriously.

The questions on the second piece of paper were more difficult, and it took him an hour to figure them out. Two of the questions he used were transformed from his own previous questions, so he needed to read Lin Xiao carefully. the process of.

So after a while, after confirming that the last question was correct, he finally put down the piece of paper, and the shock in his heart couldn't stop at all.

At the same time, he would also think of what he said last night?

Said that if Lin Xiao finished everything, he would eat those draft papers?

And this table in front of me?

He couldn't help but blush, he threw away the pile of draft paper, as for the table?

Forget it, I don't want to think about it, anyway, he is the only one who knows, and God knows what he knows, which means no one knows.

So he consciously changed the subject to avoid embarrassment in his heart.

He praised: "It's amazing, it's really amazing."

"Your talent, I estimate that in the past ten years, there may not be any student who can compare with you."

Although she didn't know what Teacher Xu was thinking, Lin Xiao scratched her head when she heard the teacher praise herself so much, and said modestly: "Actually, it's nothing, I'm still stumped."

"You finished writing all the questions in an hour and a half, how can you be considered stumped? Don't be humble for a day, my professor feels hit by you."

Lin Xiao rubbed his nose and said: "Teacher, I haven't finished all the questions in an hour and a half. I started to do it after I went back last night. After I slept at night, I didn't write until after four o'clock this afternoon. Finished."

Xu Hongbing was stunned: "Then you said you finished it in nine or ten minutes?"

Lin Xiao couldn't help but wonder, didn't the teacher hear what he said just now?

He replied: "The first eight questions were written in nine and ten minutes, and the rest of the time was mainly spent on the ninth question. It probably took...nine hours to finish it."

Hearing Lin Xiao talk about the ninth question again, Xu Hongbing was at a loss.

"Question nine?"

"That's right." Lin Xiao nodded again, and showed Xu Hongbing the more than 20 pages of draft paper in his hand: "On this ninth question, I wrote so many pages."

Xu Hongbing looked confused, "I didn't answer the ninth question, so I gave you the first eight questions."

Lin Xiao was also confused, and said, "Didn't you leave three pieces of paper for me? That question was written on the third piece of paper, just that..."

When Lin Xiao was talking, Xu Hongbing suddenly remembered that he did have a piece of paper last night, and Lin Xiao also took it.

Then, he and Lin Xiao said at the same time: "Prove that there are infinitely many prime numbers in the Fibonacci sequence (ah)?"

Chapter 46 Say something.

"correct."

Lin Xiao nodded again, looked at Xu Hongbing's puzzled face, and asked puzzledly, "Didn't you leave that question for me?"

Xu Hongbing waved his hands again and again: "Are you kidding? It's an unsolved problem in mathematics. How could I leave it to you...wait?"

After saying this, Xu Hongbing was startled. That's right, this is an unsolved problem in mathematics. What did Lin Xiao say before?

He solved it?

He stared at Lin Xiao directly, and said in disbelief, "You said you... wrote it out?"

When Lin Xiao heard Xu Hongbing's words, he also stood there in a daze.

clam?

I accidentally wrote out the unsolved problems in mathematics?

Are you kidding me?

He looked at Xu Hongbing's staring eyes, and asked cautiously, "Didn't you leave me this question? But I saw it on the desk."

Xu Hongbing said angrily: "What is left for you, I left it for myself. I usually think about this problem when I have nothing to do. It has been several years."

"So I only left you two pieces of paper with eight questions, and no ninth question."

Lin Xiao touched his nose and scratched his head again. This is really... a bit unexpected.

"No wonder, I just said why this question is so difficult, it took me nine hours to write it."

Xu Hongbing almost spit out a mouthful of old blood, you spent nine hours, do you know how much I spent?

Three years!

Do you know how much time I wasted these three years?

At least ninety hours.

You only spent nine hours, you say Jill.

Of course, Xu Hongbing didn't directly believe that Lin Xiao had really completed the proof. I don't know how many minkes said that they had proved Goldbach's conjecture every year, and some even wanted to go to the Chinese Academy of Sciences to find other professors to verify it. The Chinese Academy of Sciences asked the gatekeeper to hold a few math problems in his hand, and asked these civil subjects to be put in correctly.

Of course, this does not mean that Xu Hongbing thinks that Lin Xiao is a civil subject. The previous eight questions have proved Lin Xiao's strength, and he wrote the four competition questions in seven to ten minutes. Among them, no one can do it, and how many people can do it?If Minke can do it right, it probably won't become a Minke.

He just felt that there might be some loopholes in Lin Xiao's proof process, but Lin Xiao didn't find it. After all, looking at the thickness of the stack of draft paper in Lin Xiao's hand, there were at least a dozen or twenty sheets, and there were some in the middle that were ignored. Errors are highly probable.

So he stretched out his hand and said to Lin Xiao, "Let me see how you prove it."

Lin Xiao handed the draft paper to Xu Hongbing.

Xu Hongbing was not in a hurry to see it, he raised his head to look at Lin Xiao, and reminded: "However, before that, are you sure you want to hand it over to me directly?"

Lin Xiao wondered: "Ah? Teacher, can't you do this?"

Xu Hongbing said: "If you really complete the proof, then your proof method is equivalent to being seen by me. If I publish the paper first according to your method, then I will have the honor of proving that the Fibonacci sequence has infinitely many prime numbers." , it belongs to me, even if you say later that you did it, probably no one will believe it, after all, you are a student and I am a professor of mathematics, and I have many friends who can prove that I have been researching this problem."

Lin Xiao was taken aback for a moment, then smiled and waved his hands and said, "Teacher, you have already said that, so I believe you will not do this."

Xu Hongbing shook his head with a smile: "That's true, okay, then I thank you for your trust, but I still have to say, no matter whether you prove it successful or not, I will definitely not do that kind of thing. In addition, you Also know that if you really prove successful, then the honor you get, even IMONo.1 can't compare with it."

Lin Xiao nodded: "I know, thank you teacher."

Of course he is not stupid, he knows what it means to solve an unsolved problem in mathematics. After all, these unsolved problems that have been handed down have been studied by many mathematicians in the mathematics world, but they are still strong, which is enough to show the popularity of this kind of problem. difficulty.

Perhaps the problem he solved is not ranked among all the unsolved problems in the mathematics world, and it is not even well-known and difficult, but obviously it does not mean that it is not worth mentioning.

Solving any unsolved problem is enough to attract the attention of many people, and it is bound to receive countless honors.

As for IMO gold medals, there are dozens of people all over the world every year, which may be a huge honor for individuals, but compared to the "annual output" of dozens, it is not worth mentioning.

Xu Hongbing nodded slightly, said no more, and then turned his gaze to the stack of draft papers. First, he briefly flipped through it, and briefly glanced at Lin Xiao's proof process.

Many, and complex.

As for what kind of knowledge is used in it, Xu Hongbing has not yet determined, but he also has to admire in his heart, Lin Xiao can achieve this level only by self-study, which civil science can achieve this level?

Two days ago, he also saw an old classmate share a ghost from Minke Bar, saying that because people only fall to death from high places and fall to low places, this means that the lower the place, the greater the gravity, so the closer to the gravity of the earth The bigger it was, the more it made him laugh.

No longer thinking about Minke, Xu Hongbing turned to the last page, saw Lin Xiao's word 'Zhengbi', then turned back to the first page, and asked at the same time: "What did you think at the time, nine Hour, how do you prove it?"

Lin Xiao rubbed his nose and said, "I thought this was the task you left, so I tried it. I almost came up with an idea when I was in the middle, so I succeeded by accident. I am also worried that you will criticize me for the advanced algebra problem you asked, but I use other knowledge."

Xu Hongbing: "...you can criticize me, I was wrong."

Lin Xiao laughed and said, "Then how dare you?"

Xu Hongbing didn't bother to talk much, and looked at it seriously.

At the beginning, seeing Lin Xiao connect the prime number theorem with the characteristic polynomial of the Fibonacci sequence, he nodded in approval. This idea is very good, but how to figure out the relationship between them is a more complicated process.

Sure enough, the next 20 or so pages were all about studying how to connect these two formulas.

Xu Hongbing read more deeply, and at the same time put the draft paper on the table, found a new draft paper, and followed Lin Xiao's process to calculate.

Just like that, he flipped through the pages one by one, and his eyes became more and more shocked at the same time.

He couldn't find a single calculation or logic error!

……

until half an hour later.

Xu Hongbing gently put down the pen in his hand, as if remembering that he could breathe, took a deep breath, and then said to Lin Xiao: "You..."

Chapter 47 Xu Hongbing's Advice

"you……"

After saying "you", Xu Hongbing stopped again, finally shook his head, sighed, and put Lin Xiao's draft paper on the table again.

To be honest, he felt like crying, even a little sour.

I only came up with a question last night to think about educating Lin Xiao, but when I came back a day later, it was Lin Xiao who beat him.

He studied for three years, three years!

Do you know how he has studied it for the past three years?

I don't know how many hairs I lost.

It would be fine if no one has completed the proof all this time, but now Lin Xiao has completed the proof almost "casually". Doesn't this mean that all his time in the past three years was wasted?

But there is no way, facing this kind of unreasonable genius, he can only accept this fact.

But no matter what, he completely admired Lin Xiao's ability.

Not to mention the self-taught university knowledge, but also used the self-study knowledge to solve this unsolved problem. Although it is not a world-famous conjecture, it finally convinced him, a mathematics professor. The methods Lin Xiao used were still limited to those he had studied. Xu Hongbing also mastered some of the knowledge he had learned before, but Xu Hongbing couldn't match Lin Xiao's ability to use mathematical knowledge, as well as his natural mathematical talent.

Otherwise, he would not be a proposition group anymore, he would have already become a famous mathematician like Qiu Chengtong and Chen Shiingshen.

And such a mathematical genius, oh no, it should be a ghost. For other mathematical geniuses in the same period, it is an unattainable figure, and it is also a tragedy. But for Huaguo, such a mathematical genius can Let the people of the whole country be proud of it.

Just like the classmate Liu back then, he also achieved a level at a young age that no one else could reach in his life, and he was publicized almost across the country.

For Huaguo, this kind of talented student who can attract attention both internationally and domestically is really in great need.

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