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

If the Goldbach conjecture is proved, the Gay conjecture can be easily proved.

So the key is still the proof of Gochai.

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

"You're too modest, Shen. Guy himself was embarrassed.

Later, the two teams had dinner, and Guy hoped that his Victorian team would form a friendly relationship with Shen Qi's Princeton team, and if there was a chance, they could work together on some research projects.

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

Old Guy is full of peach and plums, his son Guy Jr. is a professor at the University of Victoria, and the two students brought by Old Guy are PhDs.

Shen Qi's students have not yet become successful, which is the direction he needs to focus on in the future.

System: "New achievement! The host proves Goldbach's conjecture, Polygnac's conjecture, twin prime conjecture, and Gay's conjecture, and the basic rewards are 1 million Xueba points, 500,000 Xueba points, 500,000 Xueba points, and 500,000 Xueba points, multiplied by the math master talent 2.0, and the final reward is 5 million Xueba points. ”

"The host publishes a paper in the Annals of Mathematics, and the basic reward is 50,000 Xueba points, multiplied by the mathematics master talent 2.0, multiplied by the latest IF value of the journal 4.012, and the final reward is 401,200 Xueba points. The balance 37265492 points for Xueba, please confirm with the host. ”

After a lot of gains, Shen Qi took out a little bit of Xueba points and conducted a general adjustment on physics and chemistry.

Physics level 10 → level 11 require 1.2 million student points.

Chemistry level 6 → level 7 require 150,000 student points.

Mathematics level 13, physics level 11, chemistry level 7, Shen Qi meditated for a week, consulted a large number of condensed matter physics and topology literature, and finally completed the final blow of "Research on Defect Topology Based on Spherical Stable Homotopy Group".

This paper on condensed matter physics took Shen Qi more than half a year, and this is his official knock on the door of physics.

Shen Qi sent an email to Edward Witten:

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

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

"I love physics as much as I love math. ”

"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 and enter the Physics Department of the Institute for Advanced Study and start my doctoral studies in physics. ”

"I have written the paper, 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 school, and the usual situation is that Princeton graduate students need to show some decent grades at this stage. I happen to have two topics at hand, and the information is here, you can take a look. ”

Yu Lei and Ralph each have a piece of information, and concentrate on research.

In the first topic, entitled "Research on Multi-Complex Pure Functions", Shen Qi lays out a framework to the effect that by popularizing the lemma of single complex variable to multiple complex variable functions, how to prove a class of multi-complex normal criteria related to the partial derivative of multi-complex and holopure functions?

"Yu Lei, your main focus is on function theory, and this topic is your professional counterpart, and I will leave it to you to complete. Shen Qi began to give the task.

"Okay, boss. Yu Lei took over the task, very confident on the surface, but a little empty in his heart.

Tutors in the United States are more like bosses, and the school gives them certain project tasks and financial support, and more often than not, the bosses go outside to find projects and funds on their own, and are responsible for their own profits and losses.

"Yu Lei, while you are researching this topic, you should contact Professor Guy Jr. of 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 subject.

Guy Sr. at Victoria University is in semi-retirement, and his career in mathematics passes to his son, Guy Jr.

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 obeyed his father's orders and actively promoted academic cooperation with Shen Qi's team.

Shen Qi feels that this opportunity is good, firstly, it can train Yu Lei, and secondly, it will help maintain the international positioning of his team and reduce the risk of academic inbreeding.

There is more than one university or research institution and more than one team that seeks cooperation with Shen Qi.

Shen Qi carefully selected two from more than a dozen cooperative projects, one to Yu Lei to follow up, and the other to Ralph.

Ralph's project is "A Study of Linear Lie Superalgebra and Its Superpowers".

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

As part of this cross-school collaboration, Ralph will work with the team at Yale, an Ivy League school, to advance the project.

"Come on, you guys, you're representing Princeton, but don't drop the chain. Shen Qi said, "These two topics are difficult, but don't be afraid, behind you is me, the whole Princeton." ”

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

"Look down on Yale?" asked Shen Qi.

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

Shen Qi explained: "The current level of the two of you can't complete the project I designed personally, and you may not even be able to understand it. So, moving forward with the task I have just assigned is your main task at this stage. ”

"OK, I see. Ralph was powerless to refute, and obediently did as Shen Qi instructed.

After assigning the math task, Shen Qi gave himself a few days off, and he 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 pork ribs into sections, scalded them with boiling water to remove the fishy smell, and put them in the rice cooker with the corn and carrots, added water, and adjusted them to the soup cooking mode.

A pot of soup is cooked, add a little salt, and enjoy the pizza, Shen Qi and Ou Ye combine Chinese and Western, and enjoy dinner at home.

"Oh, it's delicious. Ou Yelian, who didn't eat much, drank several bowls of Shen Qi's soup.

"It's not difficult to make soup in the United States, the difficult thing is that the ingredients are not easy to find, there are only a few kinds of pots, I have been in the United States for so long, I have never seen where to sell pig's trotters, Americans don't eat pig's trotters, after killing pigs, the hooves are directly disposed of as garbage. The lotus root is even more difficult, and we can only drink pork rib soup or something. Shen Qi had just finished chatting with his mother on WeChat, and he had ideas but it was difficult to implement them.

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

Then Ou Ye never let Shen Qi make soup again, and she began to teach herself how to make soup.

Men and women live together, and they can't always let men cook soup, Ou Ye, who was born in a wealthy family, learned to do housework as much as he could if his physical condition allowed.