Chapter 247 has some strange attributes
Yandongyuan.
The sizzling sound disappeared in the living room.
Xu Qingzhou was so satisfied that he smacked his lips and happily laid out the information, preparing to continue to delve into the great mathematical knowledge.
School beauty Song always looks very feminine every time she kisses.
One second he was glaring and yelling to beat someone, but the next second he softened, with that lingering little look.
Song·Ao·Jiao·Yao.
I say no, but after being forced, I enjoy it more than anyone else. Xu Qingzhou thought again, if she kissed her like this when she was angry, would it stop her anger?
Of course, he just thinks about it and is not stupid.
Song Yao was so angry that she could probably remove his arm, let alone kiss him and hug him.
On the sofa next door, Song Yao was holding a pillow in a daze, with a slight blush on her white cheeks. This guy was getting bolder and bolder, but this time there seemed to be an indescribable comfort that was very addictive.
Similar to kissing Xu Qingzhou when there are many people, I feel nervous and my heart beats faster.
But it’s a little different.
Is it
because of half-hearted efforts?
Song Yao touched her lips and woke up. Oh, it turns out this is wrong, because she didn't want to at first, resisted, and threatened to beat him, but she was "forced" anyway
Then she felt very excited.
Thinking about it like this, she found that she seemed to be wondering why she liked Xu Qingzhou to be tougher on her.
Seeing Song Yao sitting on the sofa, her crystal eyes flashed, Not knowing what he was thinking, Xu Qingzhou teased: "Still thinking about it?"
"I dislike you." Song Yao said in a low voice, still struggling with her strange hobbies.
Xu Qingzhou reminded you leisurely: "You stuck out your tongue first."
"Xu Qingzhou!" Song Yao raised the pillow to hit him, but in the end she didn't throw it out, fearing that the pillow would get dirty on the ground.
Book it first, and then we can clean it up together.
"Okay, I'll shut up." Looking at this posture, Xu Qingzhou will really get beaten if he talks rudely. The cool and cold school beauty of Song Dynasty is gone forever.
Song Yao glared threateningly at her boyfriend who deserved a beating, but because of this, she suddenly thought of what Jiahui had told her before - the M attribute.
I just like being fucked.
No, no, no, it’s impossible.
Song Yao felt her face was a little hot and fanned herself with her hand. She quickly stopped this dangerous thought and deceived herself and said in her heart: "I am normal. Xu Qingzhou is the big pervert. I am just a little bit." A little affected."
Xu Qingzhou looked strange: "Are you hot?"
"It's all your fault."
"???"
Xu Qingzhou was a little confused.
Song Yao put on a serious face, pulled her slippers into the bathroom, rinsed her mouth, and sat across from Xu Qingzhou to read. But after a while, she felt the boy's foot opposite her poking her leg.
She was too lazy to talk to him, and now she just wanted to calm down.
But soon, the other party's hoof reached over again and rubbed against her calf again and again.
Song Yao raised her head and glanced at Xu Qingzhou indifferently, "If you move again, I'll chop off your feet."
On the opposite side, Xu Qingzhou felt the need to re-determine the date.
Tuesday, June 16th.
These days of being in the middle of nowhere are far away from the time when her aunt comes and goes.
Just now, I looked cheerful, but now my mood is a bit high.
Xu Qingzhou asked helplessly: "Guo Ziyang and Ding Jiahui are coming here on Saturday, and we will cook hot pot at home?"
"Yes." Song Yao nodded.
"They will arrive at noon, then we will go shopping together."
"Okay." Song Yao said casually.
“.”
Xu Qingzhou looked serious and said in a deep voice: "There is another very important question."
Seeing Xu Qingzhou being so formal, Song Yao stopped writing and looked up at him.
"Your menstrual cycle is messed up?"
Hiss~
There is murderous intent!
In the next few days, before the Dragon Boat Festival came, Xu Qingzhou spent time in the library and devoted himself to proving the Polignac conjecture.
However, what surprised Xu Qingzhou was that on Thursday, he received a call from Professor Zhao Shengwen. Outside the library, Xu Qingzhou breathed out and used his hands to cover the scorching sun at 2 o'clock. In June, the weather was a bit hot, and even staying in the living room was a bit stuffy.
He simply bought a fan and blew it when it was hot.
When the weather gets a little warmer, you can apply to move to the Song School Flower House and use the air conditioner.
Xu Qingzhou thought happily as he walked to the shade of the big tree in front of the library and called Professor Zhao back.
"Xiao Xu, I didn't disturb you, did I?" Zhao Shengwen's voice came from the receiver.
"No, just resting." Xu Qingzhou replied.
Zhao Shengwen said with a smile: "I heard from Professor Chang that your kid has done a lot of great things in the Quantum Research Institute."
"A small achievement is not worth mentioning." Xu Qingzhou said modestly explain.
"Your mature mentality is indeed brought out by Lao Gu. It is exactly the same."
Xu Qingzhou agreed and smiled.
Zhao Shengwen: "I won't beat around the bush. The first phase of data from our research team has come out, but the results are not particularly satisfactory. We need to find someone to help with the analysis. It is best to come up with a complete theory. Model."
"I just thought of calling you and asking you. We are old acquaintances, but I know you are busy. If you are not busy, I will ask again. Ask Lao Gu."
Of course Xu Qingzhou will not refuse: "There is no problem with me. I will come when you need me."
"Tomorrow morning, about 9 o'clock."
"Okay."
Hang up the phone, Xu Qingzhou let out a long breath, come up with whatever he wants. A few days ago, he was still thinking about how to have fun. It's an experiment.
Going back to his seat in the library, he took a sip of water and focused his attention on the conjecture: for all natural numbers k, there are infinite pairs of prime numbers (p, p+2k).
Polignac's conjecture, also called the generalized twin prime conjecture.
With the addition of the word "broad sense", the difficulty of proving or falsifying rises sharply.
It’s as if you were originally trying to find a needle in a lake, but now you suddenly change the lake into a sea, and you’re really looking for a needle in a haystack.
Xu Qingzhou squinted his eyes and returned his attention to the speculation on the number of twin primes. At this point, make some corrections and use π2(x) to represent the number of twin primes not exceeding x.
Thinking about it, he picked up a pen and wrote down a row of formulas.
【π2(x)=#{p≤x:p+2isprime}】
In this way, the necessary and sufficient condition for the twin prime conjecture is that π2(x) strictly increases monotonically.
At this point, the asymptotic formula is more important.
【π2(x)Kxlog2x. 】
Next, you can try to find the specific expression of K.
By piecing together, first let the product on the right side of (9) become a convergent quantity, that is to say, find a product with a known asymptotic expansion ∏3≤p≤xf(p) such that the product ∏p≥312/pf(p) converges.
Finally, by using the properties of the logarithmic function, the problem can be transformed into proving the convergence of the expression.
Thinking clearly, Xu Qingzhou stopped wasting time and started writing.
This means that when n≤Pz, there is:
[π2(Pz, z)=∏.3≤p≤z(p2)=Pz2∏3≤p≤z( 12p)]
Expression of K:
[K=2∏p≥312/p(11/p)2=2∏p≥3[11(p1)2]]
At this point, Xu Qingzhou has completed the first step, next, It is to refine the core method used to explore the distribution of prime numbers and twin prime numbers, and obtain the original form of the sieve method that proves Polignac's conjecture.
On this basis, we hope to obtain a new and more powerful screening method.
According to his past habits, Xu Qingzhou first went through all the calculation steps during this period. After he had a clear and complete context in his mind, he started to think about where to start.
First, streamline the sieving method. Based on the sieving method of the twin prime number theorem, introduce complex analysis, L function, etc. in analytic number theory, as well as techniques in combinatorial mathematics, algebraic geometry and other fields to construct a powerful enough and A tool that can accurately screen prime numbers.
At the same time, an efficient algorithm must be developed to assist calculations so that large-scale data can be processed quickly and the efficiency and accuracy of the screening method can be improved.
This may require the use of supercomputing resources from the supercomputing center.
At this point, Xu Qingzhou temporarily put away the information on Polignac's conjecture, retrieved the paper on lithium-ion batteries that he had not finished reading, and worked on it for two days. He is indeed a little tired now.
Too much is not enough. It is easy to fall into a dead end if you keep calculating. If you want to prove a conjecture, it cannot be completed overnight. You still need to combine work and rest.
(End of this chapter)