After taking the advice, I became a top student.

Chen Mo didn't want to play such a childish game.

But he happened to see Chen Hao from No. 4 Middle School with a mocking smile on his face.

Chen Mo got up, went to the whiteboard, and without thinking, picked up a pen and began to write.

考虑形如10^k的数，对于任意正整数n，取N=10^(2^n-1)+10^(2^n-2)+……+10^0，即2^n个1组成的数。

The sum of the digits of this number is 2^n, which is a power of 2.

Meanwhile, N = (10^(2^n) - 1) / 9.

由欧拉定理，10^{φ(2^{n+3})}≡1(mod2^{n+3})，其中φ为欧拉函数。

Therefore, there exists a positive integer m such that 2^{n+3}|(10^m - 1).

By choosing an appropriate multiple, an n-digit number can be constructed that satisfies the conditions.

In less than a minute, Chen Mo had finished the proof, put down the marker, returned to his seat, and placed his empty cup in front of Lin Zhiyuan.

However, Lin Zhiyuan did not pour him orange juice because he was still watching Chen Mo's proof process.

Not only him, but everyone in the hall was still pondering Chen Mo's proof process.

Soon, Lin Zhiyuan, Qiu Mingyuan, and Lin Wanqing turned to look at Chen Mo, their eyes now showing more seriousness. Clearly, from this moment on, they regarded Chen Mo as an evenly matched opponent.

Of course, many people are still pondering Chen Mo's proof process. They find that they can't even understand the answer, and they don't even know if Chen Mo's proof is correct.

But seeing the expressions on Lin Zhiyuan's and the other two's faces, they knew that Chen Mo's proof was probably correct.

"?"

When did No. 1 Middle School produce such a person?

Euler's theorem?

Lin Zhiyuan turned to look at Chen Mo, whose solution was even more concise and elegant than his standard answer.

"Mm." Chen Mo nodded.

"Euler's theorem is not taught in high school number theory."

"I taught myself."

Lin Zhiyuan stared at Chen Mo for a long time, then suddenly laughed. He had actually believed that Chen Mo had only studied for competitions for a little over a month.

This level of skill indicates at least two years of study!

"That's interesting."

He stood up, picked up the orange juice next to him, poured a glass for Chen Mo, then raised his own orange juice, "See you at the exam hall tomorrow."

It was quiet all around.

They finally confirmed that Chen Mo's proof was indeed correct.

[Complete the suggestion, make friends through martial arts, and exchange ideas with other top students. Reward: +2888 Nutrients]

Chen Mo was somewhat surprised to see the notification.

He had completely forgotten about this suggestion. Sure enough, as his popularity grew, netizens started offering all sorts of strange and unusual suggestions, and life would truly be full of surprises.

"Hey, this is interesting."

Deng Rui also looked at Zhou Zhi, showing some interest.

Because he was too far away, he couldn't see Lin Zhiyuan's question clearly, but how could Lin Zhiyuan's question be easy?

Judging from Lin Zhiyuan's actions, he could guess that the little guy had done the right thing.

From the moment the question was posed to the moment it was solved, there was no time for him to think. The little guy actually solved the question posed by Lin Zhiyuan in a flash. His strength is quite intriguing.

The leaders and teachers of No. 2 Middle School suddenly felt as if they were facing a formidable enemy.

On the other side, Chen Hao's face stiffened, and he quietly retreated, protecting everyone in front of him.

He knew he had really messed up this time.

He didn't know how others were doing, but he hadn't solved the problem yet, so he simply judged that the little guy was probably better than him.

It would be awkward if the other person scored higher than him in tomorrow's exam.

Fortunately, the results won't be released immediately tomorrow. By the time the results are released, he will already be back at No. 4 Middle School, so he won't have to go through any awkward moments. At worst, he can just avoid people from No. 1 Middle School in the future.

Bai Zhi looked at Chen Mo with a complicated expression.

She suddenly realized that this junior, who had only been involved in competitions for a little over a month, might actually have the ability to carve out a path for himself in this arena teeming with geniuses.

Zhou Hao stared blankly at Chen Mo.

He remembered that just half a month ago, he still regarded Chen Mo as a rival in love, and just a month ago, he wouldn't have given this academic underachiever a second glance.

How come she suddenly became a top student whom I have to look up to?

What exactly is going on?

"Let me pose a combination problem too."

After Lin Zhiyuan started, Qiu Mingyuan also stood up and began writing on the whiteboard with a marker.

[On a 2^n × 2^n chessboard, if any one square is removed, prove that the remaining chessboard can be completely covered by L-shaped three-square dominoes.]

"This problem..." someone exclaimed, "It's a classic chessboard covering problem!"

"That's right." Qiu Mingyuan turned around. "Who can explain the thought process?"

The hall fell silent for a moment.

This problem is so classic that many people present have seen it before, but very few can actually explain the proof fluently on the spot.

"Use mathematical induction."

A clear female voice rang out.

Lin Wanqing from No. 9 Middle School stood up and walked to the whiteboard...

Chen Mo did not participate in the subsequent games. He focused on eating, and while everyone else was racking their brains, he ate and drank his fill and left the banquet hall.

"I don't think those questions will stump you."

Lin Zhiyuan followed him out, and while waiting for the elevator, he looked at Chen Mo.

"so what?"

Chen Mo was baffled, wondering why this top student from No. 7 Middle School was bothering her so much, since she wasn't a pretty girl.

But he was clearly wrong.

Because soon Qiu Mingyuan and Lin Wanqing also came out. If mathematics is the jewel in the crown of science, then number theory is the jewel in the crown of mathematics.

Chen Mo only solved one question, but they have already acknowledged his ability.

If any one of the three of them had solved the problem, they wouldn't have been so curious. But the one who solved it so easily was actually a student from No. 1 High School.

"So you're just giving up the chance to become famous?" Lin Zhiyuan continued to ask.

"famous?"

"Could you let me get a few more points?"

Since they had to wait for the elevator anyway, Chen Mo didn't mind chatting with Lin Zhiyuan a bit more. "Exams are about scores, not reputation."

"You're quite open-minded."

It's not that I'm easygoing, it's that there's no need to care.

Ding!

The elevator doors opened.

Lin Zhiyuan and the other two did not take the elevator off on the third floor, but followed Chen Mo to the fifth floor.

"Aren't you going to invite us in?"

Lin Zhiyuan and the other two followed behind Chen Mo.

Chen Mo was both amused and exasperated. These top students were really idle. They had exams tomorrow, and they didn't even bother to look at their books or review.

"Please go ahead."

Chen Mo knew they meant no harm and didn't care. He opened the door and let the three of them in, then sat down at his desk and immediately got into the zone, immersing himself in the study of university physics.

"?"

Lin Zhiyuan and the other two exchanged bewildered glances. "He's just starting to learn like this?"

They had originally planned to chat with Chen Mo about tomorrow's exam, exchange study tips, and even try to guess the questions.

"Dude, are you in the wrong movie? Tomorrow's exam is math, not physics!"

Lin Zhiyuan couldn't hold back anymore, thinking that this guy was really too pretentious. Tomorrow is the math exam, what's the meaning of you looking at physics in front of all of us?

Only Lin Wanqing seemed lost in thought. When they came in, there was already a physics book on Chen Mo's desk.

Furthermore, judging from Chen Mo's focused and serious deduction on the draft paper, he probably wasn't just showing off to them.

Soon, Lin Zhiyuan lost all other emotions. Inspired by Chen Mo's focused and earnest attitude, he suddenly felt a sense of urgency.

Everyone else is studying so diligently, how can I waste my precious time?

After saying goodbye to Chen Mo, he was the first to leave the room.

Qiu Mingyuan and Lin Wanqing then left Chen Mo's room.

The three of them exchanged glances in the corridor, said nothing, but suddenly quickened their pace, eager to get back to their rooms to study.