Chapter 117: Finally Still Crazy
A week passed in a blink of an eye.
Xu Qingzhou came out of the classroom with a lonely expression, planning to take a walk around the school to relax. The proof of Kramer's conjecture encountered a bottleneck, and the two proof methods he had planned came to a dead end.
In the classroom, besides Xu Qingzhou, there were three girls studying together.
Seeing Xu Qingzhou go out, someone let out a sigh of relief.
"In one afternoon alone, he used more than a dozen pieces of manuscript paper. When I went to the bathroom just now, I took a special look at it. Most of the dense calculation formulas were unknown."
"For three hours, he didn't even go to the toilet."
"The kidneys are good." One of the girls commented.
"Um?"
Seeing the other two people looking at her, the girl coughed lightly and said, "Mathematics students are so crazy."
"That's right."
It had just rained last night, and the air was cold, but very fresh, which made my brain sober.
Xu Qingzhou walked slowly and leisurely, recalling the details of Kramer's conjecture in his mind.
Kramer's conjecture asserts that there is a certain constant C such that for all sufficiently large natural numbers x, there is at least one prime gap no larger than C(logx)^2.
(pn+1-pn)/(lnpn)^2=1
nāā
limsup
pn represents the nth prime number.
It's too difficult.
Xu Qingzhou let out a breath and simply cleared his mind and took a rest.
The autumn scenery of Yanyuan Garden in Beijing is unique.
At this time, autumn is in full swing, the sun is shining on the tops of the ginkgo trees, the red spots on the maple leaves are stained with the lush vegetation, the autumn wind is blowing, and the lake surface is sparkling.
Many tourists were taking photos by the lake, and there were also students from the Academy of Fine Arts sketching.
Xu Qingzhou walked through the island pavilion in the middle of the lake and walked to the east lake shore. During this period, he took a photo of Song Yao who was in class, making Song Yao jealous.
He circled around again and was about to go back. Although he still had no idea, he felt much better after going out for a walk.
A lot of leaves fell, and two leaves slipped from the branches, drawing two similar and beautiful arcs in the invisible wind.
etc!
Xu Qingzhou stopped suddenly and stared at the falling leaves. At that moment, he suddenly had an idea.
In the classroom.
Under the surprised gazes of the three girls, Xu Qingzhou walked into the classroom eagerly, picked up a pen, and wrote down his inspiration on the manuscript.
Kramer's conjecture is about some mathematical properties between two adjacent prime numbers.
Quantum entanglement means that two entangled particles still maintain a relationship with each other even after they are no longer coupled.
Xu Qingzhou stopped, something flashed through his mind, but he couldn't catch it.
Quantum Entanglement Graph theory and combinatorics can be used to study entangled structures in many-body quantum systems.
Quantum algebra and category theory provide new perspectives for the abstract description of quantum entanglement. In addition, optimization theory and probability theory are also widely used in the measurement, verification and error correction of quantum entanglement. At this moment, he caught the tail of inspiration.
Mathematics is a tool for studying physics, but who says that physics cannot feed back mathematics and provide new research ideas for mathematics.
Although quantum entanglement is far from Kramer's conjecture, there are some things worth learning from.
Graph theory, combinatorics, optimization theory.
These are all things he was good at before.
Maybe, you can use it.
Looking at the full structural diagram, Xu Qingzhou could not suppress the surprise on his face. If this is the case, maybe it can be done!
The girls all exhaled and looked at each other. The meaning in their eyes was self-evident: "Finally. Still crazy."
On November 5th, four days passed by in a flash. Xu Qingzhou basically lived in a dormitory, a cafeteria, and an empty classroom. During this period, he skipped two political classes.
He took a new path of proof, which was a combination of the first two methods, using mathematical tools such as analytic number theory series and integrals.
You also have to use the pn model.
This is a model written by Xu Qingzhou himself. It is one of his biggest achievements in more than a month. It can analyze the relationship between adjacent prime numbers very quickly.
During this period, he seemed to have returned to the time when he was desperately experimenting.
In addition to sleeping and eating, I basically do calculations.
What is different from before is that he pays more attention to his health now.
No, at 6 o'clock in the evening, he simply ate a piece of bread in the dormitory, then went out wearing the sports suit Song Yao bought for him and carrying a water glass.
Normally, he would not have the habit of bringing a water bottle, but this time was also the beginning of the month, and Song Yao came to visit his aunt and could not exercise.
Although the running partner was not around, Xu Qingzhou did not rest. He exercised continuously for two months and experienced the joy of sweating.
I have been spinning like this for three or four days, and I feel uncomfortable if I don't come out to move around.
Entering November, the temperature drops suddenly, and can even drop below zero at night. When walking on campus, the unique scenery you can see in summer is basically hidden under thick clothes.
When Xu Qingzhou arrived at the May 4th Sports Ground, he was surprised to find that Song Yao was also there.
She was wrapped in thick clothes, holding a cup, and no makeup. Compared with usual, her skin was fair and soft, giving her a purer beauty. At the same time, she also had a touch of protective weakness.
Looking at Song Yao who suddenly appeared, Xu Qingzhou said, "Didn't I ask you to rest in the dormitory?"
"What if you're lazy if I don't come?" Song Yao pouted.
She glanced at Xu Qingzhou and wondered if this guy was staying up late again during this period. He had two dark circles under his eyes. He seemed to be the same doctoral student named "Wang Wei" whom she saw in the cafeteria last time.
"We thought we were already friends, but we didn't expect that we didn't even have this bit of trust between us."
Xu Qingzhou shook his head and sighed.
"A man's mouth is a liar." Song Yao snorted coldly and walked towards the place where the two of them usually warmed up.
"After reading it, you can go back."
"The dormitory is too stuffy."
(End of chapter)