Guy's conjecture is that any even number can be expressed as the difference between two prime numbers.

Once Goldbach's conjecture is proved, Guy's conjecture can be easily proved.

So the key is the proof of my guess.

After Shen Qi finished the work, he said: "Professor Gay, I have read your masterpiece "Unsolved Problems in Number Theory" many times, and you have given me some inspiration."

"You are too modest, Shen." Guy himself was embarrassed.

Afterwards, the two teams had dinner together. Gay hoped that his Victoria team could form a friendly relationship with Shen Qi's Princeton team, and that they could jointly carry out some research projects if there was an opportunity.

Shen Qi agreed to this proposal, and the two parties reached a cooperation intention in a harmonious atmosphere.

Old Guy is full of peaches and plums, his son Guy Jr. is a professor at Victoria University, and the two students brought by Old Guy are both Ph.D.

Shen Qi's students have not yet matured, and this is what he needs to focus on in the future.

System: "New achievement! The host has proved Goldbach's Conjecture, Poligniac's Conjecture, Twin Prime Conjecture, and Guy's Conjecture. The basic rewards are 1 million Xueba points, 500,000 Xueba points, and 500,000 Xueba points respectively. , 500,000 Xueba points, multiplied by the main talent of mathematics 2.0, and the final reward is 5 million Xueba points."

"The host publishes a paper in the "Annual of Mathematics", the basic reward is 50,000 Xueba points, multiplied by the main talent of mathematics 2.0, multiplied by the journal's latest IF value 4.012, and finally rewarded with 401,200 Xueba points. The balance is 37,265,492 Xueba points Points, please confirm with the host."

After gaining a lot, Shen Qi used a little bit of Xueba points to conduct general adjustments in physics and chemistry.

Physics level 10→11 requires 1.2 million Xueba points.

Chemistry Level 6 → Level 7 requires 150,000 Xueba points.

Mathematics level 13, physics level 11, chemistry level 7, Shen Qi thought hard for a week, consulted a lot of literature on condensed matter physics and topology, and finally completed the final blow on "Research on Defect Topology Based on Spherical Stable Hotopy Groups" .

It took Shen Qi more than half a year to write this thesis on condensed matter physics, and this is his certificate of approval for officially knocking on the door of physics.

Shen Qi sent an email to Edward Witten:

"Edward, in terms of mathematics, I obviously feel that I have entered a bottleneck period, and some key problems have not been solved for a long time."

"I am very eager to study quietly for a period of time in the Institute for Advanced Study and seek new breakthroughs."

"I love physics as much as I love mathematics."

"As we agreed before, if I complete a physics thesis equivalent to a master's thesis, I will have the opportunity to become your student, enter the Physics Department of the Institute for Advanced Study, and start my doctoral research in physics."

"I have finished writing the thesis, please see the attachment."

"Looking forward to your reply."

After sending the email, Shen Qi summoned Yu Lei and Ralph in the office: "This is the second semester of your graduate students. Usually, Princeton graduate students need to show some decent grades at this stage. I happen to have two It’s a topic, the information is here, you can take a look.”

Yu Lei and Ralph each had a piece of information, and they studied with great concentration.

The first topic, titled "Research on Holomorphic Functions of Multiple Complex Variables", Shen Qi listed a framework, to the effect that by extending the lemma of single complex variables to multi-complex variable functions, how to prove that a class and multiple complex variable holomorphic functions The multi-complex-variable normal criterion related to the values ​​of partial derivatives of pure functions?

"Yu Lei, your main focus is the theory of functions. This topic matches your major, and I leave it to you to complete." Shen Qi began to issue tasks.

"Okay, boss." Yu Lei took over the task with confidence on the surface, but a little guilty in his heart.

Mentors in the United States are more like bosses. The school gives them certain tasks and financial support. In more cases, the bosses go out to find projects and funds by themselves and are responsible for their own profits and losses.

"Yu Lei, while you are researching this topic, please get in touch with Professor Gay from Victoria University as soon as possible. This is a joint project initiated by Victoria University, and we are invited to participate in the cooperation." Shen Qi explained the background of the project.

Guy Sr. of Victoria University is semi-retired and his maths career has been passed on to his son Guy Jr.

Little Guy's team has a wide range of research. In addition to number theory, they have also made achievements in the fields of function theory, ordinary differential equations, and partial differential equations.

Little Guy follows his father's order and actively promotes academic cooperation with Shen Qi's team.

Shen Qi felt that this opportunity was good. First, it could train Yu Lei, and second, it would help maintain the international positioning of his team and reduce the risk of academic inbreeding.

There are more than one university or research institution and more than one team seeking cooperation from Shen Qi.

Shen Qi carefully selected two out of more than a dozen cooperation projects, one for Yu Lei to follow up and the other for Ralph.

Ralph's project is "Research on Linear Lie Superalgebras and Their Supergroups".

Ralph's main focus is algebra, including Lie algebra, Lie groups, group theory and other important contents.

It is also a cross-university cooperation project, and Ralph will jointly promote this project with the team of Yale, an Ivy League school.

"Come on, both of you, you represent Princeton, so don't lose the chain." Shen Qi said, "These two topics are difficult, but don't be afraid. Behind you is me, the whole of Princeton."

"Professor Shen, I thought you would personally design a project for us to complete, but I didn't expect my first project to be a collaboration with Yale." Ralph said.

"Look down on Yale?" Shen Qi asked.

Ralph: "No no, Yale is a good university."

Shen Qi explained: "The two of you are currently unable to complete the project I personally designed, and you may not even be able to read it. Therefore, advancing the task I just assigned is your main task at this stage."

"OK, I understand." Ralph was powerless to refute, and obediently followed Shen Qi's instructions.

After assigning math tasks, Shen Qi took a few days off for himself, and contacted his mother on WeChat to ask about soup-making skills.

The clever mathematician quickly learned the skill of making soup. Shen Qi bought pork ribs, corn, and carrots. Cut the ribs into sections, blanch them in boiling water to remove the fishy smell, put them in the rice cooker together with the corn and carrots, add water, and switch to the soup cooking mode.

After a pot of soup was ready, add some salt, and with pizza, Shen Qi and Ouye combined Chinese and Western styles for dinner at home.

"Oh, it's delicious." Ouye, who doesn't eat much, drank several bowls of soup made by Shen Qi.

"It's not difficult to make soup in the United States. The difficulty is that the ingredients are hard to find. There are only a few kinds of soup. I have been in the United States for so long. I have never seen any place that sells pig's trotters. Americans don't eat pig's trotters. After killing pigs , The hooves are directly treated as garbage. The lotus root is even more difficult to deal with, and we can only have pork rib soup or something." Shen Qi just finished chatting with his mother on WeChat, and he had an idea but it was difficult to realize it.

Ouye checked his phone: "Lotus root and pig's trotter soup, for breast enlargement... You, you, you still dislike my small breasts!"

Then Ouye never let Shen Qi cook soup anymore, she began to teach herself the skill of cooking soup.

Men and women live together, and men can't keep making soup and cooking. Ouye, who came from a wealthy family, learned to do housework as much as his physical condition allowed.

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