Chapter 228: A flash of inspiration, Zhou’s guess
"It still doesn't seem to be working."
Xu Qingshan sighed.
Although the state of self-study in class is very good, it is not enough to support him to continue to advance the twin prime conjecture towards the final result.
No matter what other methods he wants to try, a k value of 3 seems to be the limit of what he can do.
"Qingshan, it's time for us to change classrooms."
Jiang Huanxi on the side saw Xu Qingshan's frown and suddenly let out a long sigh. Knowing in his heart that he might be troubled by the twin prime number conjecture, he softly advised him.
"Huh? Are you finished with periods 1 and 2?"
"Well, the students from period 3 and 4 are already waiting outside. Our next class is mechanics, and we have to go to science two."
"good."
Xu Qingshan accompanied Jiang Huanxi to put things away. Jiang Huanxi carefully put Xu Qingshan's manuscripts page by page in order, and then took out a prepared folder from his bag and put it away.
Xu Qingshan was stunned for a moment when he saw her action.
"You usually don't bring folders with you. It would be so troublesome to sort them out when you need to use them."
Jiang Huanxi pushed Xu Qingshan gently.
"Stop looking and let's go."
"Okay, okay."
The girl pushed the boy, but because of her height problem, she could only push him around Xu Qingshan's waist. The two walked out of the classroom briskly, but the students who were waiting outside and were already preparing to rush in to grab seats ate the dog food. .
After arriving at Li Er's classroom, Jiang Huanxi asked as soon as he sat down.
"Have you studied mechanics in advance?"
"The textbooks are not available yet, what's wrong?"
"Hey, I win this time, I've already learned mechanics in advance!"
Jiang Huanxi's little face showed a proud look.
After all, it is too difficult to beat Xu Qingshan in other aspects. Maybe giving birth to a baby is one of them, but.
With a blush of excitement and pride on her face, Xu Qingshan looked at her child's temperament, He nodded, reached out and took a handful of her little head.
"You won~ Remember to remind me to find the teacher after class."
Xu Qingshan said lovingly.
Jiang Huanxi nodded.
However, after studying and returning to school, Jiang Huanxi still took the teaching materials seriously and followed the professor's rhythm.
But compared to her advanced math skills, which she learned deeply and comfortably, when the professor on the podium taught mechanics, he followed the rhythm of the textbook at the beginning, and then began to show his own ppt and blackboard writing.
The content involved cannot be found in textbooks.
"I heard from my roommate that our situation at Peking University and Huaqing University is that 1+1=2 is usually in class, and the usual homework is linear equations in two variables, but the exam will be about the modeling formula of rocket launch?"
Jiang Huanxi started writing and copied the new questions thrown out by the teacher on the stage.
If this was considered a difficulty of 1+1=2, Jiang Huanxi would really doubt whether he was suitable for studying physics.
"This question is a little more profound. Last time when they were screening for Ph.D. admissions in their Institute of Mechanics, they took this question as the finale, so it doesn't matter if you can't solve it. Just wait and listen to me. After all, it's such a good question. It's from me."
The professor on the stage had a faint smile on his face.
Although he said that, anyone with a discerning eye could see that the old professor was feeling proud.
"It seems really difficult."
Jiang Huanxi also fell into the same state as Xu Qingshan just now, scratching his little head a little.
Halfway through, she got stuck. She could only poke her head back to see how Xu Qingshan was doing, but found that Xu Qingshan didn't do the questions at all, and he didn't even copy the questions.
It seems that he is still immersed in mathematics and has no listening lessons at all.
"Qingshan. I'm going to do this question."
Jiang Huanxi copied the question again and pushed the question paper in front of Xu Qingshan.
"You haven't learned it yet. Let's listen to it first in class. Don't be in a hurry."
Jiang Huanxi consoled him.
The way Xu Qingshan was trapped by the twin prime conjecture made her feel uncomfortable and distressed, and she wanted to hug him.
After all, this was the rare time she saw Xu Qingshan looking so entangled and trapped.
"Yeah, okay."
Xu Qingshan promised, but in fact he was still simulating new ideas in his head, but he picked up the pen, glanced at the mechanics problem, and started solving the problem.
"Huh?"
Jiang Huanxi was about to speak, but saw that Xu Qingshan's pen had not stopped since he picked it up. The tip of the pen rubbed against the paper and made a rustling sound.
She stared attentively, waiting for Xu Qingshan to write where she got stuck.
"Swish, swish, swish"
"Swish, swish, swish"
Jiang Huanxi's eyes widened, his mouth slightly opened, and he looked at Xu Qingshan in disbelief, with confusion and dissatisfaction at being deceived in his eyes.
"Don't you know how?"
"Huh? Yes."
Xu Qingshan didn't hear what the professor on the stage was saying just now.
"Then you told me that you haven't studied the textbook yet!"
Jiang Huanxi pouted, her lips were pink, and her face was full of anger, which made Xu Qingshan very cute.
"I haven't studied the textbook yet. I have learned it before when I was studying physics on my own. I used a little trick to solve this problem. Speaking of mechanics, I actually used more mathematical skills."
Xu Qingshan came to his senses and remembered Jiang Huanxi's little pride just now. I unintentionally damaged the little ostrich's confidence in learning again.
"oh."
Jiang Huanxi was tired and leaned over to continue watching Xu Qingshan's steps, hoping to understand.
"I'll tell you, here it is"
Xu Qingshan took the initiative to put the problem-solving process in front of Jiang Huanxi and told her about problem-solving ideas and various tips.
The girl listened very carefully.
"In fact, I don't have to keep thinking about changing the ideas and methods of mechanics, and directly jump out of the field and direction. This question seems to ask this, but after I change the question first, and answer question 1, it can be proved Question 2, right?”
Jiang Huanxi is still very smart.
She quickly understood Xu Qingshan's words and output them again.
"Well, yes, just change"
Xu Qingshan originally said it subconsciously, but Jiang Huanxi's voice echoed in his mind. His eyes were out of focus, but they happened to fall on an emerald green bird parked on a branch outside the classroom window.
The spiritual light was running rampant in Xu Qingshan's head, hoping to find the most suitable place for him to stay.
Xu Qingshan felt a numb feeling spread from his coccyx quickly along his spine and upwards. The stimulation of the contraction and discharge of the trigeminal nerve was transmitted to the back of his head, and then suddenly shot straight to the Tianling Gai.
Wow!
Xu Qingshan suddenly became enlightened.
He quickly put down the pen and paper, took out the other two books from his bag, and took out a few pages of the manuscript he remembered from the folder Jiang Huanxi packed for him, and studied it carefully.
Seeing him like this, Jiang Huanxi didn't bother him, and continued to chew up Xu Qingshan and feed it to his mouth, repeating and mastering the idea again.
The teacher on the stage is still explaining the basic mechanics of this question.
"Huanxi, do you have a good grasp of analytic number theory now?"
Xu Qingshan suddenly pulled out two large blank sheets of paper, wrote a few lines of words, and placed them in front of Jiang Huanxi, interrupting her learning process.
"Well, it's okay."
Jiang Huanxi didn't know why, but still answered cooperatively.
"Okay, I have laid out this part of the idea. You can help me test it and see if there is room for optimization."
Xu Qingshan said, 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 to solve problems and create problems is so fleeting, coming suddenly and leaving without warning.
Xu Qingshan must seize 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 flow of ideas.
[Research on the distribution rules of Mersenne prime numbers and proof of Zhou's conjecture]
[Abstract: This article studies the distribution rules of Mersenne prime numbers. The so-called Mersenne numbers refer to a type of numbers in the shape of 2p-1, in which the exponent p is a prime number, often recorded as Mp. If a Mersenne number is prime, it is called a Mersenne prime. Regarding the distribution of Mersenne prime numbers, Zhou Haizhong created an inspiring new method. The author used a combination of circle method, sieve method, topology, algebraic geometry and other tools to prove that 2^(2^n)＜P＜2^ (2^(n+1)), MP holds that 2^(n+1)-1 are prime numbers. And use this as an argument to prove that when 2^(2^(n+1)), the inference that Mp has 2^(n+2)-n-2 prime numbers is true. 】
Purely handwritten 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 seriously changing the calculation formula to test Xu Qingshan's problem.
A whole mechanics lesson.
For two hours, until the end of get out of class, everyone was exhausted. When lunch time came, the young couple Xu Qingshan and Jiang Huanxi were still sitting in their seats, focusing on the division of labor.
Xu Qingshan has no way to complete all the complete contents in handwriting now.
But even if he only had ideas and simple demonstration methods, and only mathematical tools combined with innovative representational ideas, he still wrote a full six or seven pages of manuscript.
After putting down the last stroke and concluding that if all the empirical evidence is correct, the final inference will be completely established. After Xu Qingshan breathed a long sigh of relief, he added the four characters "references" at the end of the manuscript, and the literature he referred to There is only one.
[Distribution rules of Mersenne prime numbers[J]. Zhou Haizhong. Journal of Yixian University (Natural Science Edition).1992(04)]
"Qingshan, did you just prove Zhou's guess?"
Jiang Huanxi asked in a daze.
In front of her were more than ten pages of draft paper, densely written.
Although she wrote more than Xu Qingshan, she also had countless more scribbles and corrections. It can only be said that every time Xu Qingshan wrote, it was the result of simulation and derivation in his mind.
Those six or seven pieces of paper may not be as good as the dozens of pieces Jiang Huanxi wrote.
However, Xu Qingshan turned his head and looked at Jiang Huanxi, the more he looked at it, the happier he became.
"Bah!"
Jiang Huanxi suddenly woke up.
"This is the classroom, go back and kiss."
Jiang Huanxi frowned and patted Xu Qingshan in shame.
"Xi Bao, you are really my precious lucky star!"
Xu Qingshan didn't care. He laughed heartily and reached out to pinch Jiang Huanxi's face. His satisfaction was beyond words.
"This time, your participation was very deep. You just reminded me, and it suddenly hit me. My thoughts changed tracks instantly. I just intuitively felt at that moment that it seemed to be useful, but I didn't expect it to happen."
Xu Qingshan sighed.
This made Jiang Huanxi look at Xu Qingshan blankly again.
She didn't even realize which sentence she said made Xu Qingshan have an epiphany.
Do your own words still have this effect?
“Our first co-authored paper is about to be published.”
Xu Qingshan’s face was full of smiles.
I’d better insist on finishing the work, wake up to do the finishing work, and continue writing updates after finishing it.
(End of this chapter)