Chapter 87: Something is broken

Su Kewei doesn't need to be mentioned, a dignified doctoral student, but the boy beside him is also nodding constantly? Everyone is sighing about where this monster came from. After all, Xu Qingzhou looks too young, his face is full of immaturity, and he is estimated to be no more than a junior.

Moreover, now Senior Meng Bin seems to have fallen into confusion.

Looking at the formulas on the blackboard, Xu Qingzhou has a feeling of sudden enlightenment. Even if Gu Zhizhong doesn't say it now, he should be able to continue.

Gu Zhizhong is still writing, and the speed is not fast.

This may be the charm of mathematics. Even Gu Zhizhong has to calculate slowly to determine what the next step is.

Another 20 minutes passed.

Another blackboard is almost full.

"No, the value is very wrong. For (p, q), the interval is 14, which is also far less than the upper bound 418.08."

Read! {

Connected, Song Yao's voice came: "Answering the phone for so long, what are you busy with?"

defis_prime(n): check if n is a prime number

He put down the chalk, "You write down the follow-up steps."

"Can."

ifnreturnfalseforiinrange(2, int((n))+1): ifn%i==0: Night 22:30.

!.

Xu Qingzhou didn't be polite, went up, and wrote quickly.

"Old Kong, are you going out so early?" Xu Zhengyang originally wanted to make up for his sleep.

Song Yao was a bit unhappy: "Xu Qingzhou, can you be more perfunctory?"

Xu Qingzhou frowned, surrounded by a large number of draft papers. Just when he planned to recalculate, he suddenly noticed that the phone in his pocket seemed to be vibrating.

Everyone below was numb.

Also at this time, Xu Qingzhou suddenly noticed the function he pressed under his finger. This function has an error in calculation. The problem seems to have been found!

Song Yao said "Um" and reminded: "9:00 tomorrow morning, gather at the South Gate, go find Jiahui and the others, don't forget."

Xu Qingzhou said goodbye to Gu Zhizhong and the others, found an empty classroom, and was not in a hurry to do the follow-up steps, but planned to read the content about Cramér's conjecture first.

Swish~ Xu Zhengyang sat up from the bed suddenly, "I also want to work hard!"

"Also, it will cool down tomorrow, only 18 degrees, remember to wear more clothes." Song Yao continued. "Good."

Xu Qingzhou continued to nod. The follow-up needs to introduce the complex analysis method in analytic number theory and study the distribution of prime numbers through the distribution of zeros of the Riemann z-function.

"Doing math problems." Xu Qingzhou is checking the draft paper to see which step went wrong.

Then you need to use Python to use computer programs to generate prime numbers and calculate their intervals.

Su Kewei fell into deep thought.

Girls' dormitory balcony.

Gu Zhizhong stopped and looked at Xu Qingzhou and Su Kewei: "Do you understand here?"

Xu Qingzhou lowered his head to organize the draft paper, looked at the rows of data, and nodded slightly.

Beep~ The phone connected.

The current goal is to prove that f(p))≤3×(logp)^1.5 holds for all sufficiently large p. 10 minutes later, Xu Qingzhou stopped, looked at the calculation process on the blackboard, then nodded slightly, and put down the chalk.

So, the dormitory was left with only Xu Zhengyang. He exhaled and closed his eyes, ready to continue sleeping. Song Yao held the phone blankly. All the anger just now disappeared. Just now... what did that bastard say?

Kong Xianbo shook his head, I am getting stronger every day, Old Xu, Old Xu, wait to kneel on the ground and sing conquest, with a lofty dream, he carried his schoolbag and prepared to go out.

"Human-like dog-like." Xu Zhengyang complained secretly, feeling envious, jealous, and hateful in his heart.

"Xu Qingzhou, you really want to piss me off!"

The first step is to push through all the calculation processes.

In late September, the temperature in Kyoto dropped sharply. When going out in the morning, there was a chill in the air. The clothes Song Yao accompanied him to buy some time ago came in handy.

There was a busy tone in the receiver.

"Then I'll go back and calculate." Xu Qingzhou is full of energy.

"Beep~ Beep~"

He originally signed up for the Guitar Club, but after suffering "emotional injury" some time ago, he directly quit the Guitar Club and Street Dance Club to show his determination, leaving only the Mountain Eagle Club.

Xu Qingzhou's mind was completely on the numerical value, and he didn't notice what Song Yao said at all. After speaking, he felt something was wrong and his fingers stopped again: "What did you just say?"

He rubbed his temples, put Cramér's conjecture aside for the time being, and planned to fix the castrated version of the prime number problem in his hand first.

Hanging up the phone, he took a deep breath, recalculated, and redefined g(p)=3×(logp)^1.5+(p), where (p) is an error term related to p, used to adjust the upper bound to better fit the actual data.

1 hour passed, he exhaled a long breath, "Worthy of being a difficult problem that has plagued the mathematical world, it's too difficult..."

Gu Zhizhong was a bit surprised. He originally felt that Xu Qingzhou was a bit early to study this thing. After all, this is already a weakened version of a mathematical conjecture. Even his first-year doctoral student would probably need a few days to solve it.

Kong Xianbo said in a muffled voice: "Well, there are a few points in the advanced algebra class yesterday that I haven't figured out, so I'm going to the library to check some information."

The conjecture mainly focuses on the distribution law of adjacent prime numbers. Specifically, it involves some kind of mathematical relationship or property between two adjacent prime numbers in the prime number sequence. Xu Qingzhou feels it is very interesting. Some kind of mathematical property between two adjacent prime numbers is a bit like quantum entanglement. Two entangled particles, even after they are no longer coupled, still maintain a connection.

If Song Yao hadn't interrupted him, he might have skipped it just now.

Gu Zhizhong nodded approvingly. He only knew the idea but didn't know the result, so he said: "This question is very ingenious and very difficult. If you solve it, you can take it to me to see."

"Song Yao, I love you so much! By the way, I have something to do, see you tomorrow!"

10 minutes passed.

Xu Zhengyang leaned on the head of the bed, his expression serious, clicked on the address book, and dialed the number at the top.

Saturday morning, Xu Qingzhou wore clean clothes and waved goodbye to the three single dogs in the dormitory.

"Very good, the rest requires you to go back and use computer programs to generate a large number of prime pairs..."

Seeing that Kong Xianbo had already left, Zhai Ziqiang didn't stay either, carrying his guitar to guitar class.

"Senior, good morning... woke up early, to thank you for your care these days, I will treat you to dinner tonight."

"Good." Gu Zhizhong waved his hand.

Cramér's conjecture is an important problem in the field of mathematics, proposed by Swedish mathematician Harald Cramér in 1937.

Xu Qingzhou's fingers slid across the draft paper, paused slightly, and was a bit speechless: "I don't have Alzheimer's yet, so I won't forget this little thing."

"Also okay." The girl on the other side had a gentle voice, paused, and said: "Adding one person is okay, right?"

Xu Zhengyang nodded with tears in his eyes: "Okay, the more people, the more lively."

"Okay, if you have no problem, I will tell my boyfriend, let's go together."

Xu Zhengyang: "."

It seems something is broken...

(End of chapter) ===== CHAPTER 88 =====