A genius? I just love studying.

Chapter 262 The Opportunity to Escape

"Teacher, we must do something."

In his office in Zhihua Building at Yanbei University, Yuan Xinyi spoke anxiously and loudly.

He had been here for several days. The first thing he did upon returning to China was to find his teacher. Wang Qiming also mobilized his connections to help him as soon as he received the news.

Unfortunately, they didn't achieve anything.

It seems no one is willing to help them.

"Xinyi, we can't rush things at this time."

Tian Gang patiently explained, "The more eager we appear now, the more disadvantageous it will be for Chen Hui."

"The more critical the moment, the more calm we need to be. We can try our best to amplify the impact of this matter in the academic community, but the authorities cannot directly intervene."

"I can't calm down!"

Yuan Xinyi said resentfully that if it were just the academic circle, with his current status, he wouldn't need to ask his teacher for help. Chen Hui himself is a top figure in the academic circle, and the impact of this matter in the academic circle is already so great that they don't need to amplify it.

He knew the teacher was right, but he couldn't bear the feeling of watching his students trapped in America while he could do nothing about it.

After saying that, he walked straight out of the office and headed towards Tsinghua University across the street.

Tian Gang watched Yuan Xinyi leave in a huff and sighed softly. He had long regarded Chen Hui as his grandson, and his anxiety was no less than Yuan Xinyi's, but he knew that he needed to be patient at this time.

He came from a dark age, so this little bit of forbearance is nothing.

Tsinghua University, Qiu Chengwu Mathematics Center

“Old Qiu, Chen Hui is also your grand-disciple, you must do something for him.”

Yuan Xinyi, who had just come from Yanbei University, had already appeared in Qiu Chengwu's office.

Qiu Chengwu smiled wryly, "Don't worry, Chen Hui is safe now, at least for the time being."

After all, Qiu Chengwu was a scholar who had returned from Harvard, and he had many connections in America, so he knew about Chen Hui's current situation.

"Anyway, he's a theorist, so it doesn't matter where he does it."

“Going to Princeton might not be a bad thing for him.”

Qiu Chengwu earnestly advised him.

Yuan Xinyi shook his head. After hearing Qiu Chengwu's words, he stopped pleading, but his eyes were firm. "Chen Hui can go to Princeton, but that's his own choice, not going under these circumstances!"

After saying that, he turned around and left Qiu Chengwu's office, and then left Tsinghua University.

Yuan Xinyi did not ask anyone else to help Chen Hui get out of trouble.

He suddenly realized something: theoretical mathematics couldn't save China!
With this in mind, Yuan Xinyi did not stay in Beijing any longer and went straight back to Jiangcheng University. He began to collect information on the problems that China was encountering in the industrial field, contacted relevant teams and companies, and tried to use his mathematical knowledge to solve these problems.

He wants to shift from theoretical mathematics to applied mathematics!
……

In Beijing, in a courtyard house, on a stone table under a grape trellis...

This time, the two old men did not play chess. Instead, they placed two cups of tea on the stone table, each lost in thought, occasionally exchanging a few words.

“That kid Yuan Xinyi has switched to applied mathematics.”

"We don't lack top-notch engineers now. On the contrary, we are finally making breakthroughs in basic theory, which is a good thing for the future."

"Can't you see why he switched to this app? Focus on doing the things in front of you to the best of your ability before thinking about the future!"

"A Philharmonic Award winner might actually come up with something."

"That's not necessarily true. Applied mathematics and theoretical mathematics are two completely different things. Being good at theoretical mathematics doesn't necessarily mean you can do well in applied mathematics."

"Oh? You mean Chen Hui?"

The courtyard remained silent for a long time.

"Let him be."

The old man stopped arguing, narrowed his eyes, and looked at the cloudless sky. A faint killing intent lingered in the courtyard. "Expediting the construction of the seventh-generation fighter jet is the most urgent task!"

"Chen Hui is currently safe, but we need to act quickly. America's president changes every four years, and as everyone knows, policies change every time a new president takes office. Nobody knows what the next president's attitude will be towards Chen Hui."

There are only two years left.

"Don't worry, I've already sent people to protect Professor Chen. Once the opportunity arises, we'll pull off a big heist and show the world what a dragon flying in the sky looks like!"

The two elderly men were in high spirits, both looking up at the sky as if they could already see a divine dragon soaring and displaying its power.

It was already common knowledge that Chen Hui had been released and was teaching at Princeton.

This matter may seem to have come to an end, but people's memories are not so short-lived. Many netizens are still expressing their indignation on behalf of Chen Huiming and loudly condemning America's despicable and shameless behavior online.

Many netizens even launched a boycott of America products, which quickly gained momentum and caused great concern among America merchants.

"Don't worry, they won't last long. We don't need to do anything, just let it cool down."

"That's how we Chinese are. We like sporting activities, but once the hype dies down and the enthusiasm fades, we go back to doing things the way they always have been."

A senior executive from the China region confidently stated, "This kind of thing has happened countless times in China, such as the boycott of Japanese goods before. Who remembers that now?"

Facts speak louder than words. The two American executives were overjoyed and became even more convinced of the woman in front of them. "Indeed, Ms. Zhu is a native Chinese. This kind of thing can only be left to Ms. Zhu. We will rely on Ms. Zhu for the affairs of the China region in the future!"

"Don't worry, after I take over, growth and profits will only increase at an astonishing rate, I can guarantee that!"

Zhu Xiaojing raised her head confidently, a slight smile playing on her lips, and said smugly.

The profit miracle he created is traceable; otherwise, Sam wouldn't have appointed her as the president of the China region.

"We trust Ms. Zhu to get things done!"

The two America executives left Zhu Xiaojing's office with smiles on their faces.

Soon after, Zhu Xiaojing convened a short meeting with senior executives from Sam's Club China.

What are these goods?

"With such low profit margins, these are just taking up space on the shelves. Take them all off the shelves and replace them with Holiland..."

……

The highest temperature in Princeton in July is only 30 degrees Celsius, far less than the scorching heat of Wuhan. By Carnegie Lake, Chen Hui, wearing a sports vest, jogged slowly along the lakeside.

In recent years, he has been busy improving his proficiency and overcoming various difficulties. As a result, his sports level, which was originally the highest level of proficiency, has fallen far behind. If it weren't for the hidden function of maintaining his level in the data panel, his physical fitness would probably have plummeted long ago.

Now I have the time to slowly increase my proficiency.

In fact, improving one's physical fitness is a worthwhile investment. Good physical condition can extend a mathematician's academic career, and the more talented a mathematician is, the more precious time becomes.

Now Chen Hui no longer needs to pursue immediate gains and can start planning for the future.

Take a long-term view of things!
The teacher's poem came to Chen Hui's mind.

In addition to resuming physical exercise, Chen Hui has also begun to focus on improving his Chinese language skills, especially with his current memory, which is now increasing at an astonishing rate.

Now his math level has reached level 5, and his English level is almost level 4 thanks to his constant reading of English literature. Solving two millennium problems related to physics has also brought his physics level close to level 5, and his research on materials has boosted his chemistry level to level 3.

In other words, as long as he levels up the creature, he can gain another free attribute point, which is undoubtedly very worthwhile.

wheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

With his mind preoccupied, Chen Hui began to breathe heavily.

I checked my watch; I've completed my 5km goal for today.

Chen Hui didn't try to be brave; he slowed down and started walking slowly.

Although I haven't exercised in a long time, I'm still in good physical shape and can run five kilometers without any problem, but any further would be too much for me.

Just as he slowed down, a beautiful figure rushed past him like the wind. When she passed Chen Hui, she even glanced back at him with a slight smirk, clearly looking down on Chen Hui's stamina.

"Professor Chen is unmatched in mathematics, but when it comes to running, he's far behind."

Another person ran past him, making a joking remark with a grin; it turned out to be Professor Fefferman.

Chen Hui was somewhat helpless that he couldn't even outrun an old man in his sixties.

However, he did not push himself. After walking slowly for a while, he sat down on a bench by Carnegie Lake to rest for a bit. This artificial lake, which was built with donations from Andrew Carnegie, was now shrouded in a thin mist, making the lake surface look like an emerald slowly warmed by the morning light.

Chen Hui simply sat there, clearing his mind and appreciating the lake view before him.

Your Chinese language proficiency has increased from Level 2 (72%) to 73%.

A comment flashed before my eyes.

Chen Hui never expected that simply looking at the scenery could improve his Chinese language skills.

He got up, satisfied.

Back in the apartment the school had prepared for me, I took a shower, took out a stack of papers related to the Riemann Hypothesis, and began to study them.

Having solved two Millennium Problems in succession and gained free attribute points, Chen Hui guessed that solving the Riemann Hypothesis would most likely grant him another free attribute point.

Since controlled nuclear fusion research cannot be carried out in the short term, Chen Hui simply changed his approach and focused on improving his own attributes. He believed that many problems would be easily solved once he returned.

The Riemann Hypothesis is quite simple: all the non-trivial zeros of the Riemann zeta function lie on the critical line (Re(s)=1/2) in the complex plane.

This is also why the Riemann Hypothesis contains so much pseudo-scientific content; it seems that anyone who has attended elementary school can point fingers at it.

However, understanding the true meaning of this sentence is not so simple.

Riemann's conjecture is mainly used to describe the distribution of prime numbers in the natural numbers.

Computers have verified that the first 15 billion nontrivial zeros are all located on the critical line, but a rigorous mathematical proof is still incomplete. If this conjecture can be rigorously proven mathematically, it can accurately describe the distribution pattern of prime numbers among natural numbers.

Then hundreds of unresolved problems in number theory, such as the twin prime conjecture and Goldbach's conjecture, will be solved, and these propositions that depend on the Riemann Hypothesis will be upgraded to theorems, greatly improving the system of number theory.

Meanwhile, the proof process may require revolutionary methods, such as noncommutative geometry or random matrix theory, whose value may far exceed the conjecture itself. For example, the proof of Fermat's Last Theorem gave rise to elliptic curve theory, and the solution to the Riemann Hypothesis may open up new directions for algebraic geometry, complex analysis and other fields.

A deeper understanding of the properties of the Riemann zeta function will advance the development of complex function theory and harmonic analysis, and provide more accurate tools for mathematical models in physics and engineering. This is one of the reasons why Chen Hui chose the Riemann Hypothesis as his next research topic.

Meanwhile, public-key encryption algorithms such as RSA rely on the difficulty of factoring large prime numbers. If the Riemann Hypothesis reveals the distribution pattern of prime numbers, it will accelerate the efficiency of cracking such algorithms. At that time, there will be no true security on the Internet.

Perhaps this will be his chance to escape.

He shook his head, clearing his mind of distractions, and continued to focus on the paper in front of him.

Many famous mathematicians throughout history have studied the patterns of prime numbers, but the idea of ​​using functions to express the distribution of prime numbers can be traced back to Gauss.

In 1792, Gauss proposed the prime number theorem conjecture through the statistical distribution of prime numbers, predicting the asymptotic behavior of the prime number counting function (π(x)x/lnx), laying the foundation for the problem.

Dirich pioneered the L-function and proved the infinity of prime numbers in arithmetic series in 1837, thus initiating the method of analytic number theory.

In 1852, Chebyshev used the function θ(x)=Σ_{p≤x} ln p as a tool to rigorously quantify the PNT boundary for the first time, approaching the proof threshold.

In 1859, Riemann published his groundbreaking paper, "On the Number of Primes Less Than a Given Value," which completely restructured the problem. He defined the complex zeta function (ζ(s) = Σn, Re(s) > 1), which covers the entire complex plane through analytic extension, and revealed that the core secret of the distribution of primes lies in the non-trivial zeros of the zeta function—that is, the zeros whose real part is in [0, 1].

Based on this, Riemann proposed a revolutionary conjecture, namely that the real part of all non-trivial zeros is 1/2, and gave the explicit formula π(x) = Li(x) - Σ_ρ Li(x^ρ) + lower-order terms, proving that if RH holds, the prime number distribution error will be compressed to the optimal order O(x^{1/2+ε}).

At the beginning of the 20th century, research entered a period of tackling theoretical challenges.

Adama and Valle Poussin independently proved PNT based on the fact that the zeta function has no zeros at Re(s)=1 (weaker than RH), thus providing the first rigorous verification of Gauss's conjecture.

Hardy made a groundbreaking proof that an infinite number of zeros lie on the critical line. The real-valued function Z(t) = e^{iθ(t)}ζ(1/2+it) he constructed became the cornerstone of subsequent calculations and verifications. Hardy and Littlewood further proposed the ζ-function moment conjecture, establishing an analytical framework for the study of zero density.

Selberg, through his innovative use of the trace formula and sieve method, proved that there is a direct proportion between zeros on the critical line, completely eliminating the doubt that "the critical line may only contain sporadic zeros," and thus won the Fields Medal in 1950.

The birth and development of the Riemann Hypothesis is a microcosm of number theory's transition from empirical observation to modern analytic theory.

Chen Hui turned to the last page of the paper, his eyes seemingly still swirling with the formulas.

He has read all the relevant research papers in the past few days, and now it's time for him to make his move.

Previous research on the Riemann Hypothesis has undoubtedly progressed to a very advanced stage, but without a doubt, neither the sieve method nor the circle method is still some distance from the ultimate answer.

The sieve method is a technique that Chinese mathematicians are very good at. Chen Jingrun proved the weakening theorem 1+2 of Goldbach's conjecture by improving the sieve method, but unfortunately, it is still a long way from 1+1.

Zhang Yitang also proved, through optimization sieve and L-function analysis, that there are infinitely many pairs of adjacent prime numbers with a gap of less than 7000 million. Unfortunately, he is still a long way from completely proving the twin prime conjecture.

It always seems to fall just short.

Should we continue our in-depth research along the framework established by Hardy, or should we prove the Riemann Hypothesis by optimizing the sieve method?
Chen Hui still had no clue; he needed more inspiration.

Rome wasn't built in a day. Since he had no clue what to do for the time being, Chen Hui wasn't in a hurry. Instead, he relaxed his mind and opened the email sent by Fefferman, which contained the resumes of students who had passed the initial screening by the Princeton School of Mathematics.

(End of this chapter)