Learning Demon Cultivation System

Seeing Li Zheng's old father's smiling face, Lin Yujing was very sick.

"The training camp is stupid..." Lin Yujing shook her head, walked straight to the seat, took a picture of the traditional space pencil case and water bottle, and said unhurriedly, "Now, I can understand Gui Jianfeng's words. "

Li Zheng's brows tightened: "What did he say?"

"It's okay." Lin Yujing squinted at Li Zheng, and waved her hands casually, "You don't understand, you scumbag."

"Hehe." Li Zheng was also not angry, and waved his hand casually, "I'm just babbling."

The two shook their heads and entered a state of ignoring each other.

This state lasted until the third biology class.

According to the agreement with Zhu Hongbo, this is the time to go to the mathematics teaching and research group to take mathematics classes.

The two of them remained silent all the way until they entered the office, still ignoring each other.

Zhu Hongbo is very scheming and well aware that outsiders should not interfere with the affairs of the young couple... the two young classmates.

He didn't say much, and directly asked about the progress of the two this week.

Li Zheng replied steadily: "Mathematics has improved a little."

Lin Yujing replied more steadily: "I can't see the ceiling anymore."

Li Zheng laughed: "I've never seen such a brazen person."

Lin Yujing had a knife in her eyes: "You are defeated, how dare you bark in the math office!"

Li Zheng's eyes were fixed: "Find out who is the loser."

Lin Yujing snapped her fingers together: "Whoever loses more wins."

"Okay, okay." Zhu Hongbo was already grinning from ear to ear, "It's such a big deal, can we still quarrel?"

"Mr. Zhu, it's not a quarrel." Li Zheng turned his head and said, "It's just that now, in mathematics, I'm afraid it will be difficult for me to have a common language with Lin Yujing."

"Not Now." Lin Yujing smiled and waved her hands, "Never."

"Okay." Li Zheng's face turned cold, "I didn't want to argue with you at first, this is bullying. Now, you have successfully angered me."

After finishing speaking, he turned to Zhu Hongbo: "Let's do a real math problem, Mr. Zhu."

"Ah..." Zhu Hongbo hesitated, "No need, forget it... With all due respect, Li Zheng, of course you have great potential, but to really surpass Lin Yujing, especially in the field of top-level problems, you I’m afraid there is still a long way to go.”

Lin Yujing nodded, very convinced.

"Stop talking, let's write a question." With a wave of his arms, Li Zheng pulled out a pencil case and draft paper, "Just in time, let you re-evaluate my math ability."

"..." Zhu Hongbo glanced at Lin Yujing, and after the latter blinked viciously, he said helplessly, "Since you are so determined, then I'll make a debut question. But there is a sentence first, the three of you I can't stand the quarrel between the two ends of the sky, just this time, whoever gets the highest score is the one who wins, don't engage in this kind of competition in the future."

"The final word is exactly what I want."

"Well!"

Seeing the virtues of the two, Zhu Hongbo raised his lips.

The students are high-spirited, and the girls are frivolous.

So naive, so ignorant.

I'm so envious.

but.

Don't think that you can easily deal with the mathematical problems of physical competition, as if you are strong in mathematics.

That doesn't even count to begin with.

What "real mathematics" just opened his mouth.

Those of you who have no awe of mathematics.

It's time to teach me a lesson.

Zhu Hongbo didn't go through the question bank at all, but raised his hand directly: "Just one question, the surface of the question is very simple, let me just say it, just write it down."

Li Zheng picked up his pen instantly.

Lin Yujing also hurriedly pulled up a chair and slapped the notebook on the table to record.

"I'll just say it once, please listen to the question." Zhu Hongbo said calmly——

[Please confirm whether there is a positive integer n that satisfies the following conditions:]

[n is exactly divisible by 2000 different prime numbers. 】

[And 2 to the nth power, plus one, can be divisible by n. 】

After Zhu Hongbo finished speaking, he paused for a moment, and when he saw the two of them staring blankly at the title they had just written, he laughed.

"That's it, you don't have to force yourself to do it." Zhu Hongbo looked at the wall clock and said, "It's 10 minutes to 12 o'clock, and I give you two hours. Make it to [-] o'clock, and you can give up halfway. I will explain the thinking and analysis to you. .”

After finishing speaking, he pulled two stacks of papers and started grading homework.

On the other side, Lin Yujing and Li Zheng glanced at each other almost at the same time.

After discovering the other party's peeking, at the same time, he lowered his head in a panic to look at his rolled face.

And calm down a bit——

[Fortunately, she (he) is also confused. 】

Since the other party was also confused, he didn't panic so much.

Li Zheng checked the question again.

Very good, isn't this kind of question that doesn't rely on formulas and theorems its own advantage?

The web of mathematics and physics, unfold!

Math Brain, activate!

There is no trick to win!

5 minute later.

Smoke rose above Li Zheng's head, and the machine shut down.

Fuck your fucking math brain.

Fuck your fucking math web.

What is this?

What is this nonsense...

Prove your brother-in-law.

Not just completely out of ideas.

Not even thinking about thinking.

All the questions he has done and all the problems he has encountered have nothing to do with this question.

This kind of inexplicable thing should be called "XXXX conjecture", right?

It's okay to see the wind coming, right?

There may be a chance to solve the problem.

Li Zheng couldn't help but glance at Lin Yujing again.

What the hell!

She is writing like crazy!

At this moment, Li Zheng panicked.

Could it be... isn't she on the first floor?

But on the fourth floor, the fifth floor?

This is impossible, the third layer that I have reached for thousands of hours.

Even genius has a limit.

No matter how scheming Zhu Hongbo is, he is not so shameless as to embarrass others with a question that is impossible for high school students to think about.

There must be some simple and crude standard solution that I have forgotten...

Because I have been engaging in the connection between physics and mathematics, I have ignored the basic mathematical methods.

Li Zheng held his breath, and after only three seconds, a clear routine jumped out——

Mathematical induction!

Look at my memory, it has been useless for a long time, and I have forgotten it.

However, this question is not a simple induction, but also requires knowledge of divisibility, and perhaps algebraic deformation.

The only thing that is certain is that the requirements for ideas are far greater than calculations.

Because it is impossible for you to calculate the divisibility problem of 2000 prime numbers, let alone forget it, it is impossible to write 2000 prime numbers.

Logic is the most important thing. Only when the logic is completely smooth can it be possible to solve the problem. A bunch of logical words are used to connect in the middle, and perhaps contradictions and counter-evidences are also used.

So first of all, we must forget the number 2000.

Obviously, this is just a figure made by the person who made the question, which is meaningless in itself.

23333 is also ok, 666 is also ok, write whatever you like.

It is exactly divisible by 2000 different prime numbers, just a smoke bomb.

In fact, what needs to be proved is that it is exactly divisible by any number of prime numbers that are different from each other.

Hmm, but that's it.

So, let's get started.

……

after an hour.

Zhu Hongbo finished marking the papers of three classes.

Look to the left first.

Li Zheng stopped writing, obviously his mind was still in a mess, bumping around.

Look to the right again.

Lin Yujing just stared at the question in a daze.

After she wrote a few lines in her notebook, there was nothing more.

Zhu Hongbo smiled.

happy?

real math?

Are you happy?

Zhu Hongbo got up with a smile, picked up the thermos cup and said, "It's time to go to the bathroom, it's time to drink water."

No one cares about him.

He didn't say anything else, so he went out to fetch water, wandered around a lot, went to chat with Tang Zhifei, and then talked with Tao Feifei.

When the two sides chat, what they say is not too different.

"Guess what, guess what, they have already calmed them down."

"Teacher Tao, don't panic. In mathematics, they are still high school students. I will surrender with just one question."

"Don't worry, I'm safe here."

"Let them know that they have to be in awe of the subject and the teacher."

"Hey, I'm over the top, I'm over the top, it's just the natural depth of the math problems."

After pretending to be coercive, Zhu Hongbo returned to the door of the teaching and research group full of air.

I wanted to go straight in.

But when you think about it carefully, it is really rare for these two people to have such a desperate opportunity.