From all-round academic master to chief scientist

Of course, Lin Xiao can see it directly, which means it is not difficult to draw this conclusion.

As for how to prove this conclusion, it was not difficult for Lin Xiao. But after thinking about it, he wrote directly:

[Observing 4n+3 and Mp, we can easily find that Mp is a number in the form of 4n+3. 】

For some unimportant steps in the paper, the big guys usually just use the words "obvious", "easy to get" and other words to skip them directly. For Lin Xiao, although he does not consider himself a big guy, he just uses the words "obvious" and "easy to get". It's still no problem to use.

"Well, it's done here. Now we can substitute 4x+3 into the previous relationship."

Lin Xiao continued with the next steps.

However, despite having 4x+3, there are still many difficulties in the next steps, and it is still somewhat difficult to actually complete it.

And time passed slowly like this. With Lin Xiao's current 3% brain development, he still had to face such a problem. After all, discussing the distribution of Mersenne prime numbers is relatively more difficult than the Fibonacci distribution he studied before. That sequence is even more difficult.

…

[For positive integers a, b, we define a Mersenne prime (polynomial) about F2 as an irreducible polynomial of the form 1 + x^a(x + 1)^b. In this case: greatest common divisor gcd(a,b)=1 and (a or b is an odd number)…

For S∈F2[x], it is expressed as:—S is a polynomial obtained by replacing x with x+1 in S: S(x)=S(x+1)…]

"This enters the realm of polynomials."

In Lin Xiao's transformation constructor, he needs to enter the polynomial, so that he can realize his statistics of nonlinear polynomials.

However, Mersenne numbers are different from Fibonacci numbers after all. We can list infinite Fibonacci numbers, but Mersenne numbers are always limited by the number of the largest prime numbers we have found so far.

Although everyone knows that prime numbers are infinite, decomposing the prime factors of a large number is very troublesome, which is why things related to prime numbers are widely used in cryptography.

At this moment, there was a knock on Lin Xiao's door, and the person knocking on the door was Sun Yu.

Hearing that there was no response from inside, Sun Yu was helpless. Lin Shen was probably obsessed with it again.

However, Lin Xiao had told him before that if there was no response when he knocked on the door, he could just go in, so Sun Yu opened the door directly and walked in.

Seeing Lin Xiao sitting in front of the table with a pile of draft paper stacked next to him, Sun Yu quietly walked up and took a look. He suddenly remembered that this thing would make him unstable, and he almost went blind on the spot.

He quickly moved his eyes away, patted Lin Xiao and said, "Shen Lin, we're going to have lunch. We have to go to the Romanian Embassy to get a visa later, don't forget."

Lin Xiao finally came back to his senses. After hearing Sun Yu's words, he responded: "I understand."

He looked down at his current progress and shook his head, it was still not ideal.

He is now starting from the tangent circle polynomial to carry out his own bridging work, but it seems there is still a problem. Now he can only wait and continue to look at it later. Anyway, the report must be submitted before July 15.

However, solving mathematical problems is also like this. It must be done slowly and step by step. Problems are inevitable, and even trial and error is a process.

So there is no need to be discouraged. What's more, Lin Xiao is studying a world-wide problem in the field of prime numbers. After he has studied it, how can others say that he is not good at it?

This is a joke.

When Sun Yu next to him saw Lin Xiao shaking his head, he couldn't help but ask: "Lin Shen, do you have any other problems?"

Lin Xiao nodded.

"Holy shit, there are actually questions that can stump you?"

Sun Yu looked shocked. Lin Xiao had even solved the world's problems, how could he encounter such a difficult problem?

He said: "Let me be healthy!"

Even if it was a heavenly book, he would read it today.

"Let's see."

Lin Xiao placed the scrap paper he used in front of him, and then packed up his things, including his passport and ID card. After all, he was going to the Romanian Embassy in China to get a visa later.

A Romanian visa does not take a long time to get issued like the United States. A short-term visa can be issued within two days. If time is tight, it can be done in one day.

And they are going to participate in the IMO competition. Basically, they can handle it after they go there. After all, special things are done specially.

As for Sun Yu, who was looking at Lin Xiao's draft paper over there, his face was just confused, as if he had seen something, but also seemed not to see anything at all.

"Lin Shen, what are you writing?"

Lin Xiao glanced at it and said, "You don't know the Mersenne prime numbers?"

Sun Yu: "...I seem to know. Do you have any guesses?"

"Whether there are infinitely many Mersenne prime numbers, and the distribution pattern of Mersenne prime numbers. There is also Zhou's conjecture about the distribution pattern, and there is also a new Mersenne prime number conjecture."

Sun Yu: "...Then which problem do you want to solve?"

"Predict the distribution law. If it is predicted, it is equivalent to solving whether there are infinite Mersenne prime numbers...so it can be regarded as a problem."

Sun Yu: "...Sorry to bother you."

It turns out that the problem that can stump Lin Shen can only be a world-level problem. He was thinking nonsense just now.

Lin Xiao: "Then let's go."

"okay."

Then they left the dormitory.

…

In the next few days, the enthusiasm for Lin Xiao to win the top prize in the college entrance examination still did not subside, but for him, he really did not feel such enthusiasm.

After all, Huaqing News only interviewed him once last time, so we can’t interview him again now, right?

As for the ordinary media...again, the Chinese Academy of Sciences has sufficient security forces. Does the ordinary media want to enter?

There are no doors.

Of course, Lin Xiao has received many rewards. For example, a real estate agent in Jincheng City directly offered him a house worth up to 1.5 million.

Since he is still in Beijing and will attend the IMO later, I have to wait until he returns to Jincheng in July before giving it to him.

In addition, some entrepreneurs from Jincheng City also gave him some scholarships, with the total amount ranging from about 10,000 to 200,000. In short, these rewards from enterprises, except for the house , a total of over 500,000 yuan, and counting the rewards from Shanghai Municipality and Beijing University, the total sum really exceeds 3 million yuan.

Completely fat.

Moreover, I originally planned to spend one million to buy a house, but now I don’t have to spend any money on it.

Of course, Lin Xiao only shared the joy in this with his family. After all, his wealth was not revealed. As for him in Shangjing, he continued to do his own research every day and took training classes when he had nothing to do.

Just like that, time entered July.

The day to go to Romania and compete in IMO is coming.

The six most outstanding mathematical geniuses from China this year will take their motherland's ardent expectations and their own dreams to the place where heroes gather to compete for the top spot.

It is also a Xueba article, combined with a simulator. If you are interested, you can check it out.