From Almighty Scholar to Chief Scientist

"Everyone, please be quiet, this field report is about to begin."

When the meeting room gradually became quiet, the host said, "Thank you for taking the time to participate in this meeting. Next, let us invite Mr. Lin Xiao to reveal the mystery of Mersenne prime numbers for everyone."

Then, he took the lead in applauding, and the audience of more than 2000 people below also applauded.

Backstage, Lin Xiao in a black suit tugged on his tie.

It was the first time for him to put on a suit, but he was still not used to it.

"Mr. Lin, you can go on stage now."

The staff member said.

Lin Xiao nodded, and finally tore off his tie and put it aside.

It's better to make yourself comfortable.

Then, he looked at the auditorium from behind.

More than 2000 participants are worthy of a huge crowd.

And for him, it is the first time to give an academic report at such a major conference, which has to be said to be a challenge.

However, with 3.4% brain development, he quickly controlled his emotions.

Tension comes from the mind. When the mind is strong enough, overcoming the tension naturally becomes a simple matter.

Taking a deep breath, he slowly walked onto the stage.

Following his appearance, there was an uproar from the audience.

I heard that Lin Xiao was very young before, but I didn't expect that this young man was a bit too much.

But before they were given time to be surprised, Lin Xiao had already spoken.

"I'm Lin Xiao, the reporter of this field, from Huaguo."

"It is a great honor to receive the invitation of the International Mathematical Union to report here, and I also thank the organizing committee for the arrangement, so that I can have enough time to share my results."

"Then, my report will start from now on."

Then, on the big screen at the back, his PPT was displayed.

The first page is the theme.

"A New Group Transformation Method and the Determination of the Distribution Law of Mersenne Primes"

Seeing this topic, everyone in the audience concentrated their energy and looked forward to the future.

Is this problem really going to be solved?

"A Mersenne number is an integer of the form 2^p-1, and if it is a prime number, it is called a Mersenne prime number."

"As for how Mersenne primes are distributed among Mersenne numbers, research on this issue has continued since Euclid more than 2000 years ago."

"Also today, I will personally put an end to this issue."

Lin Xiao's tone was calm, but it gave the people present a feeling of high spirits.

When he said that he wanted to put an end to the world's problems, no matter how calm his words were, he would still feel this way.

All the people below were emotional, and they also opened the papers in their hands, waiting quietly for Lin Xiao's explanation.

And Lin Xiao didn't keep everyone waiting.

"In January this year, I solved a problem, that is, whether there are infinitely many prime numbers in the Fibonacci sequence."

"So the first part of the report is my compilation of the methods I used in this problem."

"Then, we start with the homogeneous linear recurrence formula of order k first."

[(An+k)+(C1(n)(An+k-1)...]

"For this type of form, we can make the following transformations."

【令Un={An，An－1……，An－k＋1}={x1An－1＋x2An－2＋……＋xkAn－k……】

With Lin Xiao's explanation, the content is slowly advancing to a deeper place.

The previous part is not difficult, so most of the people present can still follow it, including some students from various countries who came to join in the fun, and can understand it.

However, when the content came to the end, some people began to lose track of the rhythm.

Among the more than ten students in Huaguo, one of the girls looked blankly at the PPT on the stand. She found that she didn't understand anything Lin Xiao said except for taking a photo of each PPT. up.

This is when she turned her head and looked at the other girl next to her. She seemed to be listening with gusto, did she understand?

She couldn't help poking the girl, and whispered: "Do you understand?"

In the end, she was surprised to find that after she poked the girl, the girl fell down and leaned on the seat. The girl saw that she had her eyes closed.

"..."

After being speechless for a moment, she turned her head and looked at the others. Except for the few seniors who were graduate students who were still listening hard, the others basically gave up.

She could only sigh in the end, and also gave up struggling.

Just play with your phone.

Chapter 1 Applause from the Audience

On the other side, Yuan Ya was also chatting with Xu Chen next to him.

"Have you read his thesis too?" Yuan Ya asked.

"seen it already."

Xu Chen nodded.

"Young people are awesome." Yuan Ya sighed with emotion.

Xu Chen smiled and said, "I'm a young man to you, and Lin Xiao is also a young man to me, so you should say a young man."

"Oh? Why?"

"I'm not 'frightening'."

Yuan Ya was taken aback for a moment, then shook his head with a broken smile, "You are quite humorous."

He looked at Lin Xiao on the stage again, and said, "When he graduates with a Ph.D., I have to write him a letter of recommendation."

"What letter of recommendation?"

"Write everything that can be written, Wanwan, Qingqian and so on, oh, if his achievement is really successful, it should be no problem to be awarded a natural science award? Also, don't we have to do it next year? The Chinese mathematics conference is over, it should be no problem to give him the Morningside Award."

Xu Chen couldn't help being taken aback for a moment, then nodded: "That's true."

Then he couldn't help feeling emotional: "Looking at it this way, Lin Xiao is even stronger than me."

The Morningside Award is an award of the World Congress of Chinese Mathematicians, which is specially awarded to Chinese mathematicians, so that it is called the Chinese Fields Medal.

Xu Chen, on the other hand, has never won these awards.

He has only one title of Yangtze River scholar in China.

……

Professor Pompieri, Professor Deligne, Professor Sarnac and others sat together in the front rows of the auditorium, and they were also talking in low voices.

"It's really not simple." Sanak looked at the formulas on Lin Xiao's PPT. Although he had seen it before, he couldn't help but marvel at this moment.

"Of course, I can already imagine what expressions the other old guys will have after listening to the report." Pompieri also said with a smile, "I have to show them off later. with my help."

"Okay, that's Selberg."

Deligne next to him interjected.

"Sorry, I've already finished reading it, so after listening to it, you probably won't think of my expression."

At this time, an old man's head poked out from behind their seats.

The three professors turned their heads to look, and couldn't help laughing and cursing together: "Andrew, are you here too?"

"Of course I have to come. Anyway, I also won a Fields Medal."

"You are a Special Fields Award, not a Fields Medal."

"That's not bad, they are all the same. At least, there are more than 50 Fields Medal winners in the world, but there is only one Fields Medal winner." The old professor said with a smile. Pretty casual.

In fact, his name is Andrew Wiles, the prover of Fermat's last theorem. After he proved Fermat's last theorem and was recognized by the mathematics community, the International Mathematical Union awarded him a Fields The special award, because he was 45 years old at the time, exceeded the limit of the Fields Medal, but because the achievement of solving Fermat's last theorem is too important to the mathematics community, so there is such an exceptional award.

At the same time, he is also a mathematician who likes to "make troubles", because when he first proved Fermat's last theorem, he carried out it in a dramatic way. He arranged three lectures and did not pre-announce the other topic, but people discovered that his ultimate goal was to prove Fermat's last theorem, so during the third speech, the crowd immediately filled the lecture hall of the third speech.

"However, speaking of it, you really should come and listen to this report." Deligne said with a smile: "Did you find something similar to your original proof process?"

"Of course." Wiles nodded: "I was inspired by his use of the modular form. If I were to prove Fermat's last theorem again, I believe it would not be the same as before. Because I I have thought of a very clever way to prove the Taniyama-Shimura conjecture."

Several other professors shook their heads.

At this time, Professor Pompieri suddenly said: "We have reached the important point."

Hearing his words, they raised their heads and looked at Lin Xiao on the stage again. At this time, Lin Xiao's steps had reached a critical point.

It is also the key step to his success.

"Next we construct an auxiliary function, let L be a sufficiently large even number, let F(c)=L∑k=1; L∑l=1, A(kl)c^k..."

"Then continue to construct non-zero algebraic numbers, let S0=min{s|s∈N..."

"After that, we can find that we successfully found that we successfully formalized the group G-mode."

Following Lin Xiao's j explanation, the bewildered people could only shout '666' in their hearts, and the math experts sitting in the front row couldn't help but admire in their hearts.

Being able to get to this point has made everyone see that success is inevitable.

Among the more than 70 pages of papers, these short steps are the most essential steps. For the whole paper, they are also the core steps that play the role of a load-bearing column. The upper and lower parts are really connected together.

"Andrew, how is it? Is it this step that makes you feel familiar?"

In the seat below, Deligne turned his head, glanced at Wiles behind him, and made a joke.

Wiles nodded, then smiled again, and said, "However, I won't let him pass so easily."

"Oh? You want to make things difficult for him?"

Deligne was taken aback: "Could it be that you see a problem, where is it?"

Wiles shook his head with a smile: "I happen to have encountered this problem before."

"where?"

"You'll know when his report is over."

Seeing that Wiles was still playing tricks, Deligne shook his head, turned his head back, and then re-opened the paper. He wanted to know if Wiles saw what was wrong. When he read the paper before, he , Didn't find it?

However, he searched for it roughly, and finally gave up. The time now is not enough for him to find. He can only wait for the old guy Wiles to speak out in the Q&A session after the report.

Of course, this also shows how important an academic report is, because when more people read this paper, there is a greater probability of discovering tiny mistakes and omissions, which is important for any important achievement. , are indispensable, and only through the review of more people, such an achievement can be considered a real success.

……

Time passed quickly. When Lin Xiao successfully drew out the most critical step, the next process seemed to be overwhelming. He also accelerated his speed until No. 40 minutes, and finally completed his entire process. Theoretical narrative.

"So far, we have successfully realized the homomorphic transformation of group G."

"My group transformation method is thus completed."

"Here, allow me to name it."

Speaking of this, Lin Xiao said shyly: "As you can see, it is a homomorphic group transformation, so I named it Lin's group transformation method."

The people below couldn't help laughing.

There is no shame in naming your own theory.

Of course, it can also be made longer, such as the formal transformation method called Lin's homomorphic group modulus, but this is a bit long.

This is just a small episode, and then it is time to draw the final conclusion.

After Lin Xiao listed the formula of Mersenne numbers, he finally obtained the distribution of Mersenne prime numbers, successfully proved the infinity of Mersenne prime numbers, and also proved Zhou's conjecture by the way.

So far, the narration about the thesis part is over.

Everyone below applauded in unison.

This young man deserves their applause.