Chapter 44 Completed the proof!

Time gradually passed with the appearance of formulas and numerical symbols under the pen. Lin Xiao, who had opened up the sage state, truly became a sage, and inspirations emerged from time to time in his mind.

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

But even here, this problem is not that easy to solve.

"We've reached the last step, but there's still something missing!"

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

"There must be a relationship between the distribution of prime numbers in the Fibonacci sequence. 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 scratch paper from the side again and continued thinking in his mind.

"New methods...new methods...what new methods can do it?"

"By the way, analyze extension!"

He suddenly remembered this knowledge that he once knew, but he didn't know much about it, because this knowledge belonged to the theory of complex variable functions. He had just briefly looked at the table of contents of the book on complex variable functions before, and had not started yet. study.

However, he still knew something about analytic continuation, mainly when Euler used analytic continuation to 'prove' that the sum of all natural numbers is equal to -1/12.

But his understanding ability is quite strong. Even after just briefly looking at 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 and is closely related to the Riemann hypothesis.

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

So, time passed again, and lines of formula gradually appeared on the paper as his pen tip moved.

4.125% brain development allows his mind to more easily associate with places that are difficult to touch.

In this way, he threw away pieces of draft paper and kept others.

At 13 o'clock at noon, Kong Huaan came back. Since he had been in the classroom and self-study all morning, he had eaten late and only came back now.

However, when he saw Lin Xiao still sitting in front of the table, with pieces of draft paper beside him, and a lot of them on the ground, he couldn't help but express emotion and admiration on his face.

This is the undisputed number one person in the competition. Facing such a super academic, he is willing to admit defeat even if he wants to.

He silently walked behind Lin Xiao without disturbing him, looked at what he wrote 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 with Lin Xiao, he feels that he has learned all mathematics from dogs.

In addition, he now also found that Lin Xiao could easily get into a learning state, because every time he saw Lin Xiao starting to study, he almost completely forgot everything around him.

He was very envious of this state. The only pity was that he couldn't do it.

After that, he did not disturb Lin Xiao and started his own study.

Time passed again, and Lin Xiao was in the sage state that was turned on at eleven o'clock, so by 16 o'clock in the afternoon, the sage state was finally coming.

The system voice rang: "The sage state time has ended."

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

However, the problem is no longer big.

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

This is a function that he finally derived after using analytic continuation and then going through a series of complex transformations, in which he 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 consistent with the prime number theorem.

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

Lin Xiao's eyes showed a look of satisfaction, and then, "It's time to build a bridge."

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

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

So next, he continued to write on the scratch paper, connecting the equivalent formula he had derived previously with this brand new function.

[...Lemma 3 and 4, from equation 5, equation 7, and equation 8, we can get...]

[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 get that there are infinite prime numbers in the sequence Fn. 】

【Certificate completed】

Lin Xiao breathed out a sigh of relief as he wrote the last two words one stroke at a time.

"finished."

"Finally finished."

"This question is really difficult."

He sighed, and at this moment, the system's pleasant voice sounded.

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

"The physical reward [Health Capsule] can be withdrawn 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 strength."

"Warm reminder from the system: Learning also requires a good body. The body is the capital of everything."

"Congratulations to the host for improving his math level. It is currently level 2 (66/250)."

Hearing a series of sounds from the system, Lin Xiao couldn't help but be stunned for a moment.

Solving this question actually directly awarded 100 experience points?

The truth points actually increased by 4 points. This wave of profits is huge. Even if you use truth points to solve this problem, you only need 3 truth points.

Also, what is this health capsule?

Is it actually the real thing?

The system can actually give me physical objects?

But he would struggle with this issue later. When he saw that his math level had finally improved to level 2, he immediately asked in his mind: "System, how much has my brain development improved?"

"After a single subject is upgraded to level 2, the degree of brain development increases by 0.2%."

"0.2?" Lin Xiao nodded, which meant that his brain development level had now reached 2.95%.

But he thought about it again. After he used the sage state, it still took him so long to write such a question at a development rate of 4.125%. He didn't seem to be very happy with his 2.95% development rate?

He shook his head helplessly. There was nothing he could do about it. It seemed that he was still far from being a real mathematician. It took him so long to solve this problem. What about scientists like Yang Zhenning and Einstein? , how developed is the brain?

No longer think about it, I am still far away from that kind of great person.

Then he looked at the time, it was half past four in the afternoon.

"Wait...? It's already half past four?"

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

Think about it, except for having a hotel buffet breakfast at around seven in the morning, he was obsessed with studying at noon and couldn't extricate himself.

He quickly cleared the table and ran to eat.

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

Grateful!