Just turned over a new leaf and became a wise and intelligent student

Chapter 228: A sudden inspiration, Zhou guesses

"It still doesn't seem to work."

Xu Qingshan sighed.

Although studying in class was a good thing, it was not enough to support him to continue pushing the twin prime conjecture towards the final result.

No matter what other methods he tried, a k value of 3 seemed to be the limit of what he could do.

"Qingshan, we should change classrooms."

Jiang Huanxi, who was standing by, saw Xu Qingshan frowning and suddenly sighing. She knew that he might be troubled by the twin prime conjecture, so she advised him softly.

"Hmm? Have you finished the first and second periods?"

"Well, the students in periods 3 and 4 are already waiting outside. Our next class is Mechanics, so we have to go to Science ."

"it is good."

Xu Qingshan accompanied Jiang Huanxi to put away the things. Jiang Huanxi carefully put away Xu Qingshan's manuscripts page by page in order, and then took out a prepared folder from her bag and put it away.

Xu Qingshan was stunned when he saw her action.

"You don't usually carry folders with you. It's so troublesome to organize them when you need them."

Jiang Huanxi gently pushed Xu Qingshan.

"Don't look at it. Let's go."

"Good good."

The girl pushed the boy, but because of her height, she could only push Xu Qingshan around his waist. The two of them walked out of the classroom briskly, which made the classmates who were waiting outside and preparing to grab seats inside eat a lot of dog food.

Jiang Huanxi asked as soon as he sat down in the Science Class 2 classroom.

"Have you studied mechanics in advance?"

"The textbooks are not here yet, what's wrong?"

"Hey, I win this time. I've already learned mechanics in advance!"

A smug look appeared on Jiang Huanxi's little face.

After all, it is too difficult to surpass Xu Qingshan in other aspects. Maybe having a baby is one of them, but...
Her face was flushed with excitement and pride. Xu Qingshan looked at her childish nature, nodded, and reached out to pinch her little head.

"You win. Remember to remind me to find the teacher after class."

Xu Qingshan said lovingly.

Jiang Huanxi nodded.

However, even though he had learned it, Jiang Huanxi still took the textbook seriously and followed the professor's pace.

But compared to her deep and proficient advanced mathematics, the professor on the podium only followed the rhythm of the textbook at the beginning when teaching mechanics, and then he began to show his own PPT and blackboard writing.

The content involved cannot be found in the textbooks.

"I heard from my roommate that in our Peking University and Huaqing University, the situation is that in class, 1+1=2, and the homework is a quadratic equation, but the exam will be a modeling formula for rocket launches?"

Jiang Huanxi started copying the new questions given by the teacher on the stage.

If this is considered the difficulty of 1+1=2, Jiang Huanxi really has to doubt whether he is suitable for studying physics.

"This question is a little bit difficult. Last time when they were screening for doctoral admissions at the Institute of Mechanics, they used this question as the final question. So it doesn't matter if you can't solve it. Just listen to me carefully. After all, I set such a good question."

The professor on the stage had a faint smile on his face.

Although he said that, any discerning person could see that the old professor was feeling proud.

“It seems to be quite difficult.”

Jiang Huanxi also fell into the same state as Xu Qingshan just now, and scratched his little head slightly.

She got stuck halfway through and could only lean over to see how Xu Qingshan was doing, only to find that Xu Qingshan hadn't done any of the questions and hadn't even copied the text.

It seems that he is still immersed in mathematics and has not listened to the mechanics class at all.

"Qingshan, I'm going to do this question."

Jiang Huanxi copied the questions again and stuffed the question paper in front of Xu Qingshan.

"You haven't learned it yet, just listen to the class first, there's no rush."

Jiang Huanxi comforted.

She felt sad and distressed when she saw Xu Qingshan trapped by the twin prime conjecture, and she wanted to hug him.

After all, this was one of the rare times she saw Xu Qingshan looking so conflicted and distressed.

"okay."

Xu Qingshan agreed verbally, but in fact he was still simulating new ideas in his head. However, he picked up the pen, glanced at the mechanics problem, and started solving it.

"Well?"

Jiang Huanxi was about to speak when she saw Xu Qingshan had been writing for a long time, and the friction between the pen tip and the paper made a rustling sound.

She stared intently, waiting for Xu Qingshan to write to the part where he got stuck.

"Swish"

Jiang Huanxi's eyes widened, her mouth slightly opened, and she looked at Xu Qingshan in disbelief, with confusion and dissatisfaction at being deceived in her eyes.

"Don't you know how?"

"Hmm? Yes, I do."

Xu Qingshan didn't hear what the professor on the stage was saying just now.

"Then why are you telling me you haven't learned the textbook yet!"

Jiang Huanxi pouted, her little lips were pink and her face was puffy, which made Xu Qingshan's heart moved again.

"Yes, I haven't studied the textbook yet. I learned all of it when I was self-studying physics competition. I used a trick to solve this problem. Speaking of mechanics, I actually used more mathematical techniques."

Xu Qingshan came back to his senses, thinking of Jiang Huanxi's pride just now. He had unintentionally hit the little ostrich's confidence in learning.

"Oh."

Jiang Huanxi wilted and came over to continue watching Xu Qingshan's steps, hoping to understand.

"Let me tell you, here, here"

Xu Qingshan took the initiative to put the problem-solving process in front of Jiang Huanxi and explained to her the problem-solving ideas and various tips.

The girl listened very carefully.

"Then I don't have to keep thinking about changing the ideas and methods of mechanics. I can directly jump out of the field and direction. This question seems to ask this, but after I change the question setting, I can solve question 1 and then prove question 2, right?"

Jiang Huanxi is still very smart.

She quickly understood Xu Qingshan's words and expressed them again.

"Yeah, yes, just change it."

Xu Qingshan was speaking subconsciously, but Jiang Huanxi's voice echoed in his mind. His eyes were out of focus, but happened to fall on a emerald green bird perched on a branch outside the classroom window.

Inspiration was running rampant in Xu Qingshan's head, hoping to find the most suitable place for him to stay.

Xu Qingshan felt a tingling sensation spreading rapidly from his coccyx along his spine upwards. The stimulation of the trigeminal nerve's electrical discharge was transmitted to the back of his head, and then suddenly rushed straight to the top of his head.

Wow!
Xu Qingshan suddenly understood.

He quickly put down his paper and pen, took out two other books from his bag, and pulled out a few pages of manuscripts that he remembered from the folder that Jiang Huanxi had prepared for him, and read them carefully.

Seeing him like this, Jiang Huanxi didn't disturb him. He continued to repeat and master Xu Qingshan's idea of chewing it up and feeding it to his mouth.

The teacher on the stage is still explaining the basic mechanics knowledge points of this question.

"Huanxi, have you mastered analytic number theory well enough now?"

Xu Qingshan suddenly tore off two large pieces of blank paper, wrote a few lines on them, and placed them in front of Jiang Huanxi, interrupting her learning process.

"Yeah, it's OK."

Jiang Huanxi didn't understand, but still answered cooperatively.

"Okay, I've laid out this part of the idea. Can you help me test it and see if there's room for optimization?"

Xu Qingshan said this, and then he continued to write quickly.

In fact, whether it is in the scientific research and academic industry or the content creation industry, sometimes the inspiration for solving problems and breaking through obstacles is so fleeting, coming suddenly and going without warning.

Xu Qingshan wanted to grasp this moment of inspiration as much as possible.

He even took a few pieces of paper and started building the framework of the paper, which also helped him build a complete thought process.

[Research on the distribution law of Mersenne primes and proof of Zhou's conjecture]

【Abstract: This paper studies the distribution law of Mersenne primes. The so-called Mersenne numbers refer to a type of numbers in the form of 2p-1, in which the exponent p is a prime number, often recorded as Mp. If a Mersenne number is a prime number, it is called a Mersenne prime. In view of the distribution law of Mersenne primes, Zhou Haizhong has created an inspiring new method. The author combines multiple tools such as the circle method, the sieve method, topology, and algebraic geometry to prove that when 2^(2^n)＜P＜2^(2^(n+1)), MP has 2^(n+1)-1 prime numbers. Based on this, it is proved that when 2^(2^(n+1)), Mp has 2^(n+2)-n-2 prime numbers. 】

Written entirely by Xu Qingshan.

He didn't stop, and the rustling sound of the pen tip on the slightly rough paper never stopped.

Jiang Huanxi beside him was also carefully changing the formula to test Xu Qingshan's problem.

A whole mechanics lesson.

Two hours passed, until the get out of class was over and everyone had left. It was time for lunch, but Xu Qingshan and Jiang Huanxi were still sitting in their seats, concentrating and immersed in their work.

Xu Qingshan has no way to complete the content by handwriting now.

But even if he only had ideas and simple argumentation methods, and only mathematical tools combined with innovative representational ideas, he still wrote a full six or seven pages of manuscripts.

After putting down the final stroke and concluding that if all the evidence was correct, the final inference would be completely established, Xu Qingshan breathed a sigh of relief and then added the four big words "references" at the end of the manuscript. He only referenced one document.

【Distribution law of Mersenne primes[J]. Zhou Haizhong. Journal of Yixian University (Natural Science Edition). 1992(04)】

"Qingshan, have you just proved Zhou's guess?"

Jiang Huanxi asked in a daze.

In front of her were more than ten pages of draft paper, all densely written.

Although she measured more than Xu Qingshan, she also had to scribble on many more parts. It can only be said that every time Xu Qingshan put pen to paper, he had already simulated and deduced the result in his mind.

Those six or seven pieces of paper might not be as good as even if Jiang Huanxi wrote dozens more.

However, Xu Qingshan turned around and looked at Jiang Huanxi, and the more he looked, the happier he became.

"Bah!"

Jiang Huanxi suddenly woke up.

"This is a classroom, go back and kiss."

Jiang Huanxi frowned and slapped Xu Qingshan in embarrassment.

"Xibao, you are really my lucky star!"

Xu Qingshan didn't care at all. He even laughed heartily and reached out to pinch Jiang Huanxi's little face. His sense of satisfaction was beyond words.

"You were very involved this time. You reminded me just now and it suddenly clicked in my mind. My thoughts changed instantly. I just intuitively felt that it might be useful at that moment, but I didn't expect it to be true."

Xu Qingshan sighed.

This made Jiang Huanxi look at Xu Qingshan blankly again.

She didn't even realize which of her words had made Xu Qingshan realize something.

Do my words have this effect?

“Our first co-authored paper is coming out soon.”

Xu Qingshan's face was full of smiles.

I still insisted on finishing it, did some finishing work after waking up, and continued to write updates after finishing it.

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(End of this chapter)