From Almighty Scholar to Chief Scientist

Chapter 75
Of course, Lin Xiao can see it directly, which shows that it is not difficult to come to this conclusion.

As for how to prove this conclusion, it is also not difficult for Lin Xiao, but after thinking about it, he directly wrote:

[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 thesis, the bosses usually just use words such as "obvious" and "easy to get" and skip them directly. For Lin Xiao, although he does not think he is a boss, he uses a few It is still no problem to use.

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

Lin Xiao continued with the next steps.

However, although there are 4x+3, there are still many difficulties in the next steps, and it is still difficult to really complete it.

And time passed slowly like this. With Lin Xiao's current brain development rate of 3%, it is still difficult to face such a problem. After all, relatively speaking, it is more difficult to discuss the distribution of Mersenne prime numbers than the Fibonacci he studied before. The Nach sequence is 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: GCD(a,b)=1 and (a or b is odd)...

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)...]

"That's entering into the realm of polynomials."

In Lin Xiao's transformation constructor, it is necessary to enter the polynomial, so as to realize his statistics on nonlinear polynomials.

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

Although everyone knows that prime numbers are infinite, it is very troublesome to decompose the prime factors of a large number, 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 it was Sun Yu who knocked on the door.

Hearing that there was no response inside, Sun Yu was helpless. Lin Shen must have learned to be a demon again.

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

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

He quickly moved his eyes away, patted Lin Xiao and said, "Shen Lin, it's time to have dinner, we have to go to the Romanian embassy to get a visa later, don't forget."

Lin Xiao finally came to his senses, and after hearing Sun Yu's words, he responded, "I see."

Looking down at his current progress, he 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 that there are still problems, and now he can only wait until later to continue to look at it, anyway, submit the report before July 7.

However, solving mathematical problems is also like this. You have to do it slowly and step by step. Problems are inevitable. Even trial and error is a process.

So there is no need to be discouraged. What's more, Lin Xiao's research is a worldwide problem in the field of prime numbers. After he researches it, others can say that he can't do it?
Just kidding.

Seeing Lin Xiao shaking his head, Sun Yu next to him couldn't help asking: "God Lin, do you still have any problems?"

Lin Xiao nodded.

"Damn, there are still questions that can stump you?"

Sun Yu looked astonished, but Lin Xiao has solved even the world's problems, how can he still encounter such difficult problems?
He said: "Let me be healthy!"

Even if it is a heavenly book, he still has to read it today.

"Look."

Lin Xiao put the draft paper he had used in front of him, and then packed his things, passport, ID card and so on. After all, he was going to the Romanian embassy in China to get a visa later.

The Romanian visa does not take as long as it does in the United States. Short-term visas can be obtained within two days, or one day if time is tight.

And they are going to participate in the IMO competition, basically they can get it done after they go there, after all, special things are special.

As for Sun Yu, who was looking at Lin Xiao's draft paper over there, his face was only bewildered, as if he had read something, and he seemed to have seen nothing at all.

"Lin Shen, what are you writing?"

Lin Xiao glanced at it and said, "Mersenne primes, don't you know?"

Sun Yu: "... seems to know, is there any guess?"

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

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

"Let's predict the distribution law. If it is predicted, it is equivalent to solving whether there are infinitely many Mersenne primes... so it is also a problem."

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

It turned out that the problem of being able to stifle Lin Shen can only be a world-level problem. He was thinking about farting just now.

Lin Xiao: "Then let's go."

"okay."

Then they left the dormitory.

……

In the next few days, the enthusiasm about Lin Xiao getting the first place in the college entrance examination still hasn't subsided, but for him himself, he really can't feel such enthusiasm.

After all, the Huaqing Daily only interviewed him once last time, so we can't do it again now, can we?

As for the ordinary media... or the same sentence, the Chinese Academy of Sciences has enough security forces, and the ordinary media want to go in?
There are no doors.

Of course, Lin Xiao received a lot of rewards. For example, a real estate agent in Jincheng City directly offered him a house worth less than 150 million.

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

In addition, some entrepreneurs in Jincheng also gave him some scholarships, with a total amount ranging from 20 to 300. All in all, these rewards from enterprises, except for the house, There are a total of about [-] yuan, and including the rewards from the city and Beijing University, it really exceeds [-] million after all of them are added up.

It is completely a wave of fat.

Moreover, the house that was originally planned to spend 100 million to buy, now does not need to spend money.

Of course, Lin Xiao only shared the joy with his family. After all, his wealth is not revealed, and he is here in Shangjing, so he continues to do his own research every day, and he goes to training courses if he has nothing to do.

And just like that, it's July.

The day to go to Romania for the IMO campaign is coming.

The six most outstanding mathematics geniuses of the year from Huaguo will go to the place where the heroes gather with the ardent expectations of the motherland and their own dreams, and compete for a top spot.

　It's also learning Bawen, combined with a simulator, if you are interested, you can take a look
　　
　
(End of this chapter)