Fulfilling a Promise
There are three conjectures related to Goldbach Conjecture.
In chronological order, they are the Polignac's conjecture proposed in 1849, the twin prime conjecture proposed in 1900, and the Guy's conjecture proposed in 2003.
The proof logic for the three conjectures is the same as that for Goldbach Conjecture. Simply replace the function construction equation used in proving Goldbach Conjecture 1+1 with the Polignac's conjecture equation, the twin prime conjecture equation, and the Guy's conjecture equation.
It took Shen Qi another three days to finish organizing the paper. The title was exactly the same as the popular title recently: "Proof of Goldbach Conjecture".
In this paper, Shen Qi proved four conjectures in one go: Goldbach Conjecture, Polignac's conjecture, the twin prime conjecture, and Guy's conjecture.
In fact, four hypotheses can be used to write four papers, earning more academic points.
Shen Qi did not do that, as it would be inconsistent with his status and give the world the impression that he was just padding his paper output.
Shen Qi uploaded the proof of Goldbach Conjecture to arVix immediately, and then submitted the manuscript directly to Faltings, the editor-in-chief of the Annals of Mathematics.
Then Shen Qi told his administrative assistant, "Barbara, arrange transportation for me. We'll go to New York first, pick up my girlfriend, and then fly from Kennedy Airport to Zurich, Switzerland. Yes, I'll stay in Zurich for three days, then go to Basel, stay in Basel for three days, and then go directly to Zurich Airport to return to New York."
"Please help me book five-star hotels in Zurich and Basel. The environment must be quiet and peaceful, and the room needs to be a deluxe king room. Thank you."
Shen Qi is going to Switzerland on a business trip; this decision was made more than a month ago.
The Ostrovsky Foundation of Switzerland invited Shen Qi to Zurich to receive the Ostrowski Prize.
There are two famous Ostrovskys in the world, one of whom is the Russian writer Alexander Nikolayevich Ostrovsky.
The other was the Ukraine mathematician Alexander Mayakovich Ostrovsky.
After gaining fame, mathematician A. M. Ostrovsky lived in Switzerland for a long time to conduct research, and passed away there in 1986.
A. M. Ostrovsky was born into a wealthy merchant family. He inherited a huge fortune when he was young, and with a carefree life, he devoted himself to Mathematical Research.
Before his death, A. M. Ostrovsky left a will bequeathing all his assets to establish the Ostrovsky Foundation, which would reward mathematicians who had made outstanding achievements in the fundamental theory of pure mathematics or Numerical Analysis within the first five years.
The Ostrowski Prize was first awarded in 1989 and is given every two years to no more than two recipients. The prize money is 100,000 Swiss francs.
Since the Ostrovsky Foundation invited Shen Qi to accept the award, he would naturally go to Switzerland.
The Ostrowski Prize is an international Math Prize, rated A in the system. This A-level award is required for Task 2, which is required to advance to level 14.
More importantly, Shen Qi finally fulfilled his promise made during his sophomore year of college and took Ou Ye on a trip to Switzerland.
A few days later, Yu Lei had just obtained his US driver's license, drove Shen Qi's Mercedes-Benz GLS to New York.
Yu Lei's task was to drive to Columbia University to pick up Ou Ye, then take Shen Qi and Ou Ye to Kennedy Airport, then drive Shen Qi's car back to Princeton, and then pick them up in New York a week later.
American professors are not allowed to instruct students to do errands or run errands for them unless they are paid, and that payment should not be less than the average hourly wage for part-time work in the United States.
Yu Lei offered to drive Shen Qi and Ou Ye to the airport, for which Shen Qi paid him $200, which he forcibly stuffed into Yu Lei's shirt pocket.
"Little Brother Qi, don't be so formal! It's only right that I drive you around, why should I charge you?" Yu Lei shouted, clearly unhappy.
"The $200 includes gas and car wash; the rest is your reward for your hard work. Stop complaining, this is America, when in Rome, do as the Romans do. Don't look at me, watch where you're going!"
As they approached Columbia University, Shen Qi reminded Yu Lei, "Your first semester of graduate school is coming to an end. Your academic performance this semester has been very average, far worse than Ralph's. Yu Lei, stop focusing on chasing girls. What was your original reason for coming to Princeton?"
"I will never forget my original aspirations: academia, socializing, and sleeping," Yu Lei said firmly.
Shen Qi: "From what I've observed, the latter two take up more than 80% of your time and energy."
"I was wrong, I'll change, I definitely will." Yu Lei took the initiative to admit his mistake.
Shen Qi patiently guided him. "Yu Lei, next semester I hope to see a completely new you, someone who can get enough sleep, has pretty girls by his side, and can produce a decent, high-quality paper."
Yu Lei resolutely said, "I will try my best!"
"That's right. You see, I don't object to you dating girls. Everyone needs girls, and I need them too. Good luck." Shen Qi unbuckled his seatbelt and got out of the car. They had arrived at their destination: the Columbia University girls' dormitory.
Ou Ye waited expectantly downstairs. Yu Lei rushed to Ou Ye Shen Qi could, naturally took her suitcase, and politely greeted her, "Hello, Sister-in-law Ou Ye!"
"Hehe, hello." Ou Ye smiled; this handsome young man had a sweet tongue.
"Yu Lei, your sister-in-law Ou Ye is only a year or two older than you. Just call her Sister Ou. She looks older than her." Shen Qi opened the back door of the Mercedes-Benz SUV and helped Ou Ye into the car.
"Sister Ou and Little Brother Qi are a match made in heaven! When are we going to your wedding?" Yu Lei put Ou Ye's suitcase into the trunk of the car, returned to the driver's seat, started the car, and drove Shen Qi and Ou Ye to Kennedy Airport.
Ou Ye's health has recently improved, and with her medication dosage maintained, she is able to travel long distances.
Seven or eight hours later, Shen Qi and Ou Ye arrived in Zurich, the largest city in the Swiss Confederation.
The hotel is five-star and the environment is very quiet. The deluxe king room was well arranged by the executive assistant Barbara. All Shen Qi and Ou Ye had to do was check in with their bags.
"Little Yezi, we've finally arrived in Switzerland. Enjoy yourselves! We've got a week of fun!" Shen Qi opened the hotel room window, letting the bright sunshine and refreshing breeze pour in.
"Thank you to the Ostrovsky Foundation for this award." Ou Ye put her arm around Shen Qi's waist and stood side by side with him on the windowsill, watching birds whose names she didn't know dance on the branches.
"Even if they don't give me the award, I will still bring you to Switzerland."
"You lied to me again."
"What did you say?"
"Ugh... no..."
While taking medication and suppressing their desires, Shen Qi and Ou Ye embraced each other and went to a restaurant for dinner.
The following day, Shen Qi and Ou Ye arrived at the headquarters of the Ostrovsky Foundation.
This year's Ostrowski Prize has two recipients.
The chairman of the Ostrovsky Foundation presided over the award ceremony. "Professor Vladimir Kabrovsky from Moscow University, who has made outstanding contributions to the numerical solutions of Ordinary Differential Equations and Partial Differential Equations, is awarded the Ostrowski Prize in accordance with the wishes of Mr. A. M. Kabrovsky."
"Professor Shen Qi Princeton University has made historic contributions to the Riemann Hypothesis system, and is also awarded the Ostrowski Prize."
"The Riemann Hypothesis is now history, and the latest textbooks have replaced it with the Riemann Theorem. Will Goldbach Conjecture be renamed Goldbach's Theorem? We look forward to Professor Shen's insightful explanation at the upcoming academic conference."