From Almighty Scholar to Chief Scientist

Chapter 44 Complete the proof!

Time gradually passed with the appearance of each formula and number symbol written by the pen. Lin Xiao, who had started the state of a sage, had truly become a sage, and inspirations appeared in his mind from time to time.

So soon, he went through almost all the knowledge he had learned before, and then continued to search for the key to solving this problem.

But even here, this question is not so easy to solve.

"It's the last step, but there's still something missing!"

Lin Xiao felt that he had reached the final bottleneck of this question.

"The distribution of prime numbers in the Fibonacci sequence must have a relationship. By the way, 0.618... the golden section?"

Lin Xiao's eyes suddenly lit up, but soon, he frowned again.

"No, my knowledge is not enough, I need more knowledge."

"Or, some other method?"

Lin Xiao slapped his head, "I can't always use that knowledge, I have to use new knowledge."

Then, he pulled a piece of draft paper from the side again, and continued to think in his mind.

"New method...new method...what new method will get it done?"

"By the way, analyze the continuation!"

He suddenly remembered the knowledge he had learned before, but he didn't know much, because this knowledge belonged to the theory of complex variable functions. study.

However, he did know something about analytic continuations, mainly when Euler used them to 'prove' that the sum of all natural numbers equals -1/12.

But his comprehension ability is quite strong, even if he only briefly watched the proof process, he already has a certain understanding of this method.

In addition, analytic continuation is also related to the Riemann zeta function, and the Riemann zeta function is a function that can find the distribution of prime numbers, which is closely related to the Riemann conjecture.

However, Lin Xiao didn't care so much. After thinking of this possibility, he started to do it.

As a result, time passed again, and lines of formulas gradually surfaced on the paper with the movement of his pen tip.

4.125% brain development, so that his thinking can more easily associate with some hard-to-touch places.

In this way, he threw away a piece of draft paper, and kept another piece of draft paper.

At [-] o'clock in the afternoon, Kong Huaan came back. Because he had been in the classroom and self-study all morning, he ate late, so he only came back now.

However, seeing Lin Xiao still sitting in front of the table, and a lot of draft papers beside him were thrown on the ground, he couldn't help showing emotion and admiration on his face.

This is the undisputed competition No. 1. Facing such a super academic, even if he admits defeat, he is willing to admit defeat.

He silently walked behind Lin Xiao without disturbing him, looked at what he had written on the draft paper, and then walked away silently.

He became more and more determined to become a hacker.

What the mathematics world needs is Lin Xiao, not him, because compared to Lin Xiao, he feels that he has learned all mathematics from dogs.

In addition, he now also finds that Lin Xiao can easily enter the learning state, because every time he sees Lin Xiao starting to study, he almost completely forgets everything around him.

For such a state, he is very envious, the only pity is that he can't do it.

After that, he didn't bother Lin Xiao and started his own study.

Time passed again, and Lin Xiao was in the sage state at eleven o'clock, so at sixteen o'clock in the afternoon, the sage state will finally arrive.

The system voice sounded: "The sage status time has ended."

Lin Xiao suddenly felt that the state of extremely clear thinking was over, and the speed of his thinking association also slowed down almost perceptibly.

However, the problem is no longer a big one.

Picking up the draft paper in front of him and looking at a brand new function written on the draft paper, Lin Xiao showed a satisfied expression on his face.

This is a function that he obtained after using analytical continuation, and then going through a series of complicated transformations, which also applied the knowledge he learned in mathematical analysis.

This function is closely related to the Fibonacci sequence, and at the same time, it can also be compatible with the prime number theorem.

In other words, "The bridge is finally built."

Lin Xiao had a satisfied look in his eyes, and then, "It's time to build a bridge."

As we all know, the bridge is built first, and then built on the piers.

Of course, the process of building bridges in engineering is the most troublesome, but in mathematics, 'building bridges' is difficult, but 'building bridges' is easy.

So next, he continued to write on the draft paper, linking the equivalent formula he derived before with this brand new function.

【……引理3、4，由式5、式7、式8，可得……】

[It can be seen that F(x) and π(x) are completely equal in the domain of definition, according to the infinity of prime numbers... It is easy to obtain that there are infinite prime numbers in the sequence Fn. 】

【Certificate completed】

After writing the last two words stroke by stroke, Lin Xiao heaved a sigh of relief.

"finished."

"Finally finished."

"This question is really too difficult."

He sighed with emotion, and at this moment, the pleasant voice of the system sounded.

"Congratulations to the host, you have completed the proof that there are infinitely many prime numbers in the Fibonacci sequence. Considering the host's performance in the proof, rewards: Mathematical experience +100, truth points +4, and health capsules."

"The physical reward [Health Capsule] can be extracted at any time. [Health Capsule] can eradicate all external forces in the body, and at the same time give the body a certain amount of strengthening."

"The system reminds you: Learning also requires a good body, and the body is the capital of everything."

"Congratulations to the host's math level, which is currently level 2 (66/250)."

Hearing a series of voices from the system, Lin Xiao couldn't help but froze for a moment.

Solving this question actually directly rewarded 100 experience points?
The truth points have also increased by 4 points. This is a big profit. Even if you use truth points to solve this problem, you only need 3 truth points.

Also, what is this health capsule?
Is it real?

The system can actually gift itself with real objects?

But I will struggle with this question later. Seeing that his math level has finally increased to level 2, he immediately asked in his heart: "System, how much has my brain development improved?"

"After a single subject is promoted to level 2, the degree of brain development will increase by 0.2%."

"0.2?" Lin Xiao nodded, which means that his brain development rate has now become 2.95%.

But he thought about it again. After he used the sage state, it took so long to write such a question at a development rate of 4.125%. It seems that he is not very good at 2.95%.
Shaking his head helplessly, he has nothing to do about it. It seems that he is still far from a real mathematician. It took him so long to solve this problem by himself, so scientists at the level of Yang Zhenning and Einstein , How much is the brain development?
Don't think about it anymore, I'm still too far away from that kind of big cow.

Then he checked the time, it was 04:30 in the afternoon.

"Wait...? It's already 04:30?"

Lin Xiao suddenly felt his stomach express a strong protest, a feeling of his chest against his back made him feel such a strong need for food for the first time since he was born.

Think about it, apart from having a buffet breakfast at the hotel at [-] o'clock in the morning, he has been obsessed with studying since noon and cannot extricate himself.

He hurriedly cleared the table and ran to eat.

　I felt everyone's enthusiasm yesterday, please increase your efforts today!

　　Grateful!

　　
　
(End of this chapter)