Legend
"Getting back to the main point, let's return to the equation cos(1+Γ(x)/x+1+Γ(2n-x)/2n-x)π+isin(ρx+b)π=-1."
Shen Qi's report was nearing its end, "When n=1, one set of solutions to this equation is x=1 and (2n-x)=1."
"When n=2, a set of solutions to this equation is x=2 and (2n-x)=2."
"When n∈Z, n>2, according to Lemma 1, namely Wilson's Theorem, we can clearly know that this equation has a set of odd prime pairs as solutions!"
What does this illustrate? What does it mean?
Shen Qi, who had been quite calm, became inexplicably excited when this topic came up. "This conclusion is based on the Fundamental Theorem of Algebra, which means that when n∈Z and n>2, the function constructing equation not only has one set of solutions but also must have a set of odd prime pairs. Goldbach Conjecture 1+1 is undoubtedly a true proposition!"
"If Goldbach Conjecture 1+1 is a false proposition, then the Fundamental Theorem of Algebra is unreliable. If the Fundamental Theorem of Algebra is unreliable, then... then I can't say what the consequences would be if the Fundamental Theorem of Algebra, which has guided us for over five hundred years, were wrong?"
"Therefore, Goldbach Conjecture 1+1 must be a true proposition, Q. E. D." Shen Qi thought about it and it was terrifying. If the Fundamental Theorem of Algebra were wrong, the entire Mathematics Community would collapse and be finished.
"It must be a true proposition," Professor Kabrovsky said.
"Professor Shen, your proof is very ingenious," Professor Sabhasin said.
The mathematicians present unanimously agreed with Shen Qi's proof of Goldbach Conjecture 1+1, and Shen Qi successfully completed his academic mission in Europe.
Of course, these few dozen mathematicians cannot represent the entire Mathematics Community, and the final decision should be based on the opinion of the IMU.
After the academic exchange meeting, Shen Qi gave an interview, which he spoke very concisely, and then disappeared from the media's sight.
Not content with the Fields Medal winner's brief and fleeting statement, the reporters sought out Professor Shen Qi's friend, Indian mathematician Sabhasin, hoping to uncover more information.
Professor Sabhasin from the prestigious University of Manchester in the UK told reporters, "Yes, Professor Shen has successfully proven Goldbach Conjecture, as well as three other related conjectures. That's enough for you to know. How do I evaluate him? I once said that the China Key' possesses a genius brain and devilish logic; yes, he is such a man."
News quickly spread. "Genius? Devil? Following the Riemann Hypothesis, Shen Qi has successfully proven Goldbach Conjecture."
"Who can stop Shen Qi's advance? What will be the next mystery to be solved?"
"When interviewed by our agency, Shen Qi only said one sentence: Don't pay too much attention to those conjectures; the system determines the future, and the program will save mathematics."
"Perhaps the new program and the Mathematical Grand Unification are Shen Qi's ultimate goals."
"A new program and Mathematical Grand Unification? It's like we're talking to God. In Western mathematical civilization, God is the mathematician; He sets the program, He achieves the unification."
Shen Qi is a human being, not God. He and his girlfriend quietly left Zurich and arrived in Basel, Switzerland's third-largest city.
Basel is located at the border of Switzerland, France, and Germany. The history of this city is similar to that of Switzerland: some French people did not want to be French, and some Germans and Italy did the same, so they formed the Swiss Confederation.
Switzerland is a permanently neutral country. It is a wealthy country, and its people have both money and time.
Euler was not poor; he had ample time to study mathematics, physics, astronomy, ballistics, architecture, and navigation.
Without a doubt, mathematics was Euler's greatest talent and passion. He published as many as 886 papers and academic monographs in his lifetime, 58% of which were in mathematics.
Euler was devoted to his wife and 13 children. He was born in Basel and spent a long time in the city.
The first tourist attraction Shen Qi and Ou Ye visited after arriving in Basel was Euler's House.
"Euler, an idol!" Shen Qi exclaimed in amazement in front of the statue of Euler.
"Yeah, I love Euler so much." The "Ou" in Ou Ye's name isn't the "Ou" of the "Emperor of Luck" or the "Ou" of Ouyang Feng; she calls herself the "Ou" of Euler.
Shen Qi circled the Euler statue repeatedly, muttering to himself, "He stopped calculating, he stopped living."
Ou Ye clasped her hands tightly, closed her eyes as if in silent mourning. "He stopped calculating, he stopped living."
The line about husband and wife working in harmony is not fabricated; "He stopped calculating, he stopped living" was the heart-wrenching lament of Euler's friend when Euler passed away.
According to the History of Number Theory, on September 18, 1783, after dinner, the 76-year-old Euler was drinking tea and playing with his granddaughter when suddenly his pipe fell from his hand.
Euler said, "My pipe," and bent down to pick it up, but he never stood up again.
He stopped calculating, he stopped living, and before he stopped breathing, Euler's last words were. "I am dead."
"What do you admire most about Euler?" Ou Ye asked.
"His number of academic papers and monographs is 886. It's impossible for a normal person to complete such an abnormal amount of updates." Shen Qi was genuinely impressed, and even somewhat frustrated.
Starting from his second year of high school, Shen Qi has been working in the field for six years, publishing 17 papers, one academic monograph, and one popular science book on mathematics for high school students. At this rate of progress, he will never be able to surpass Euler in his lifetime.
"Euler, you're such a hardworking genius. Qi, you have to work hard!" Seeing Shen Qi's discouraged expression, Ou Ye felt a strange surge of motivation.
"I envy Euler. He reached the pinnacle of academia, had a virtuous wife and filial children, a house full of grandchildren, and died peacefully. He is the number one winner in the History of Mathematics." Shen Qi said with great emotion. Mathematicians who reach the top will eventually die, but the legends of mathematicians will live on forever.
The joyful time spent on vacation always passes too quickly.
A few days later, Shen Qi returned to Princeton.
Media reports claim that Shen Qi has proven Goldbach Conjecture, and include the web address of Shen Qi's paper on the conjecture.
Recently, no new proofs of Goldbach Conjecture have been published, and arVix has returned to calm. Many of the previously published Goldbach's Conjecture papers have been quietly withdrawn by their authors.
Reviewing Shen Qi's paper on song guessing is not an easy task; reviewers are hard to find.
It is clearly inappropriate for IMU to appoint ordinary mathematics professors and scholars as reviewers for Shen Qi, given that he is a recipient of the Fields Medal.
The Annals of Mathematics is a journal published by Princeton University, in collaboration with the Department of Mathematics at the Princeton Institute for Advanced Study.
Editor-in-Chief Faltings invited a Fields Medal winner, a Wolf Prize winner, and an Abel Prize winner from the Mathematics Division of the Institute for Advanced Study to review Shen Qi's paper, "A Proof of Goldbach Conjecture," submitted to the Annals of Mathematics.
The three gentlemen are highly respected senior figures in the Mathematics Community. Among them, Abel Prize laureate Keller is a year older than Shen Qi. In today's Mathematics Community, almost no mathematician under the age of 60 can rival Shen Qi.