Chapter 87 Something Broke
There is no need to talk about Su Kewei, a doctoral student, but the boy next to him was also nodding continuously?
Everyone was wondering where this monster came from. After all, Xu Qingzhou looked too young, with a childish face, and he was estimated to be no more than a junior.
Moreover, Senior Meng Bin seems to be confused now.
Looking at the formula on the blackboard, Xu Qingzhou felt as if everything had suddenly become clear. Now, even if Gu Zhizhong didn't tell him, he should be able to continue working on it.
Gu Zhizhong is still writing, but not very fast.
This may be the charm of mathematics. Even Gu Zhizhong has to slowly calculate before he can determine what the next step is.
Another 20 minutes passed.
The other blackboard is almost full.
Gu Zhizhong stopped and turned to look at Xu Qingzhou and Su Kewei: "Do you understand this?"
Su Kewei fell into deep thought.
Xu Qingzhou continued to nod, and it would be necessary to introduce complex analysis methods in analytic number theory in the future, and to study the distribution of prime numbers through the zero-point distribution of the Riemann zeta function.
Everyone in the audience was already numb.
Gu Zhizhong was a little surprised. He originally thought that it was a little early for Xu Qingzhou to study this thing. After all, this was already a weakened version of a mathematical conjecture. Even for him, a first-year doctoral student, it would probably take him several days to solve it.
He put down the chalk and said, "Write down the next steps."
Xu Qingzhou didn't hesitate, went up and started writing quickly.
Our goal now is to prove that f(p))≤3×(logp)^ holds for all sufficiently large p.
Ten minutes later, Xu Qingzhou stopped, looked at the calculation process on the blackboard, then nodded slightly and put down the chalk.
"Very good, all that's left is for you to go back and use a computer program to generate a large number of prime number pairs."
Gu Zhizhong nodded approvingly. He only knew the idea but not the result, so he said, "This question is very clever and difficult. If you can solve it, you can show it to me."
"Then I'll go back and calculate first." Xu Qingzhou was full of energy.
"Okay." Gu Zhizhong waved his hand.
Xu Qingzhou said goodbye to Gu Zhizhong and the others, found an empty classroom, and was not in a hurry to do the next steps, but planned to read the content about Cramer's conjecture first.
Cramer's conjecture is an important problem in mathematics, proposed by Swedish mathematician Harald Cramer in 1937.
The conjecture focuses on the distribution of adjacent prime numbers. Specifically, it involves a certain mathematical relationship or property between two adjacent prime numbers in a prime number sequence.
Xu Qingzhou found it very interesting that a certain mathematical property between two adjacent prime numbers was a bit like quantum entanglement. Two entangled particles still maintained a connection with each other even after they were no longer coupled.
An hour later, he let out a long sigh, "It is indeed a difficult problem that has troubled the mathematics community. It is too difficult."
He rubbed his temples, put aside Cramer's conjecture for the time being, and planned to solve the castrated version of the prime number problem at hand first.
The first step is to push all the verification processes again.
Next, we need Python to use a computer program to generate prime numbers and calculate their intervals.
def is_prime(n): Checks if n is a prime number
if n return False
for i in range(2, int((n))+ 1):
if n % i == 0:
22:30 in the evening.
"No, the value is very wrong. For (P, Q), the interval is 14, which is also much smaller than the upper bound of ."
Xu Qingzhou frowned. There were a lot of manuscript papers piled around him. Just when he was about to recalculate, he suddenly found that the mobile phone in his pocket seemed to vibrate.
After the call was connected, Song Yao's voice came: "You've been answering the phone for so long, what are you busy with?"
"Doing math problems." Xu Qingzhou was checking the manuscript to see which step had a problem.
Song Yao said "hmm" and reminded: "Gather at the South Gate at 9 o'clock tomorrow morning to find Jiahui and the others. Don't forget."
Xu Qingzhou's fingers slid across the manuscript paper, and he paused for a moment, a little speechless: "I don't have Alzheimer's disease yet, so I won't forget even this little thing."
"Also, the temperature will drop tomorrow, only 18 degrees, remember to wear more clothes." Song Yao continued. "Okay."
Xu Qingzhou lowered his head to organize the manuscript paper, looked at the rows of data, and nodded slightly.
Song Yao was a little unhappy: "Xu Qingzhou, can you be a little more perfunctory?"
"can."
Xu Qingzhou was completely focused on the numbers and didn't pay attention to what Song Yao said. After she finished speaking, he felt something was wrong and stopped his finger again: "What did you say just now?"
"Xu Qingzhou, you're really going to piss me off to death!"
At this time, Xu Qingzhou suddenly noticed the function when he pressed his finger down. There was an error in the calculation of this function. It seemed that the problem was found!
"Classmate Song Yao, I love you so much! By the way, I have something else to do, see you tomorrow!"
If Song Yao hadn't interrupted him, he might have just missed it.
After hanging up the phone, he took a deep breath, recalculated, and redefined g(p) = 3×(logp)^(p). This (p) is an error term related to p, which is used to adjust the upper bound to better fit the actual data.
Balcony of the girls' dormitory.
"du~du~"
There was a dead tone in the receiver.
Song Yao held the phone blankly, and all her anger just now disappeared in an instant. What did that bastard say just now?
In late September, the temperature in Kyoto dropped sharply. When I went out in the morning, the air was chilly. The clothes that Song Yao bought with me some time ago were put to good use.
On Saturday morning, Xu Qingzhou put on clean clothes and waved goodbye to the three single guys in the dormitory.
"He looks like a human but behaves like a dog." Xu Zhengyang complained inwardly, feeling envious and jealous.
Kong Xianbo shook his head and said, "I'm getting stronger every moment. Lao Xu, oh Lao Xu, wait until you kneel on the ground and sing Conquer!" With lofty dreams in mind, he picked up his schoolbag and prepared to go out.
"Old Kong, are you going out so early?" Xu Zhengyang wanted to catch up on some sleep.
Kong Xianbo said in a muffled voice: "Well, there are a few points in yesterday's advanced substitute class that I still don't understand. I'm going to the library to look up some information."
Seeing that Kong Xianbo had already left, Zhai Ziqiang did not stay and went to guitar class with his guitar on his back.
So, Xu Zhengyang was the only one left in the dormitory. He exhaled, closed his eyes and prepared to go back to sleep.
10 minutes passed.
shuh~
Xu Zhengyang suddenly stood up from the bed, "I have to work hard too!"
He had originally signed up for the Guitar Club, but after suffering a "broken heart" some time ago, he directly quit the Guitar Club and the Street Dance Club to show his determination, and only stayed in the Mountain Eagle Club.
Xu Zhengyang leaned against the head of the bed with a serious expression. He opened the address book and dialed the number at the top.
beep~
The call is connected.
"Senior, good morning. I got up early. To thank you for taking care of me these past few days, I'll treat you to dinner tonight."
"Okay." The girl on the other side spoke in a gentle voice. After a pause, she said, "Can we add one more person?"
Xu Zhengyang nodded with tears in his eyes: "Sure, it will be more fun with more people."
"Okay, if that's okay with you, I'll tell my boyfriend and we can do it together."
Xu Zhengyang: “.”
It seems like something broke.
(End of this chapter)
