When it was discovered that Faltings, Andrew, Lindenstrauss, and Academician Wang Xiaoyun came to Qin Ke and quietly stared at the notebook where Qin Ke was writing furiously, there were many people in the bar, especially those who were still at the door.

The general students all gasped.

They may not know Academician Wang Xiaoyun, but Faltings, Andrew, and Lindenstrauss all taught at Pudong University, and they can still be seen on campus from time to time, and even some textbooks used by Pudong University students

, it was written by these three big guys, how could the students not recognize it?

Even the other professors, associate professors or teaching staff who were drinking here became very interested in what happened to Qin Ke.

How could it be such a small thing to disturb such three great gods?

Just seeing a few big guys gathered around Qin Ke, there was no room to squeeze in, so they sat down in their original positions, but they all stopped talking and focused their attention here.

The students found that things seemed not simple. For a while, no one dared to laugh anymore, so the whole bar quickly became quiet. Even the bartender stopped what he was doing, and only the melodious light music was still flowing.

.

Xu Jiyao, who came out of the library, had just heard the rumor. When he opened the door and walked in, he saw such a strange and solemn scene. He was so frightened that he was speechless. He quickly closed the door of the bar quietly, and then took out his hand again.

He took out his cell phone and secretly filmed it.

His actions reminded the students at Princeton University, and many of them quietly took out their mobile phones, took photos, and posted them on Facebook and Twitter.

[Location, Tiger Bar, something big seems to be happening. Professor Faltings, Professor Andrew, and Professor Lindenstrauss are all watching a student from Xia Guo write something, it seems that he is writing calculations related to Mersenne prime numbers.

】

[Qin Ke, a student from Xia State who will give an academic report tomorrow, entered the Tiger Bar after running seven or eight times around the main campus road!]

[I have a vague feeling that something great is going to happen, look at the big guys here!]

Faltings and the other four big guys certainly don't care what the students behind them are doing or thinking. What they want to know most is how Qin Ke can prove whether there are infinite Mersenne primes and whether he can succeed.

However, Qin Ke had already turned three pages. When the four of them came behind Qin Ke, they could only see the calculations written on the current page.

The big guys stopped talking and just watched silently with their hands behind their hands.

Professor Thomson next to him naturally recognized these four big guys, but he didn't bother to say hello.

He sat in the "VIP seat" with the best view, staring closely at the mathematical symbols extending from the tip of Qin Ke's pen, unwilling to miss a line of calculations.

He didn't know who this Xia student was, but he had watched Qin Ke's argument from the beginning, so he knew what Qin Ke was arguing.

At first, Professor Thomson had the attitude of watching a show, and even laughed in his mind that this ignorant boy actually wanted to challenge a prime number proposition that no one had been able to crack for more than 400 years? Either he was too arrogant, or he was crazy!

But slowly, as Qin Ke's argumentation process unfolded and deepened, rows of exquisite and mathematically beautiful calculations formed a rigorous mathematical logic, making it impossible for him, who has always been a perfectionist, to find any faults.

What made him unbelievable the most was that Qin Ke actually used his best Diophantine equation thinking in the argument process on the third page!

Although the Diophantine equation is an important branch of number theory, no one has ever applied it to the distribution of Mersenne prime numbers!

However, the technique used by this Xia Guo student was so ingenious that he was amazed and even felt inspired.

Amazing, this student from Xia State is really amazing!

Professor Thomson's attitude became more and more solemn, and he no longer dared to be contemptuous. At least in the study of Mersenne prime numbers, this young Xia student was far ahead of him!

The other person occupying the "VIP position" was the hook-nosed Pudong University student Borzigit, but when he saw the fifth page, he couldn't understand it at all. He didn't read any more and just walked away a little lost.

Come, return to the students.

An anxious student grabbed him and asked in a low voice: "What on earth is that Qin Ke writing?"

Borzigit said bitterly: "He is proving that there are infinite Mersenne primes."

The students almost cried out in surprise. Some of them opened their mouths to say things like "overestimating one's abilities" and "he's crazy." However, seeing the unconcealed admiration on the faces of Faltings and other senior leaders, they stopped talking.

Swallow it back into your stomach.

The burgundy-haired female student Frieda looked at Qin Ke's back and felt her throat was a little dry. She asked carefully: "Borzigit, do you think he can succeed?"

Borzigit shook his head: "I don't know, because I can't understand it at all, but if he succeeds, we will all be the ones to witness a new history!"

Witness a new history!

The weight of these six words is enough to make the ordinary students who have always had their eyes on the top shocked and moved!

After a brief commotion, everyone became quiet again, but more and more people took out their mobile phones and pointed them at Qin Ke, preparing to record a historical moment that may or may never come.

Time passed by in silence, and Qin Ke's pen tip made a rustling sound. No one could hear it, but everyone seemed to hear it. Even the soft music was covered up.

Finally, at a certain moment, Qin Ke stopped writing. At the same time, everyone held their breath and looked at Faltings and the others, waiting for the most authoritative expert in number theory to "announce" the result.

Faltings looked at Qin Ke with disbelieving approval for a few seconds, then spoke softly and said: "Therefore, it is proved that there are infinitely many Mersenne primes."

Linden Strauss's eyes were also full of wonder: "The first part is not clear, but from the second part, there is no flaw, the logic is self-consistent, using geometry, algebra, approximation, matching the four

Repeatedly transform between the two mathematical methods, simplifying the prime number problem into a complex one, transforming it into an algebraic geometry problem, and then solving it with a prime number polynomial... I have never seen such a technique before, this is a completely original mathematical processing method!"

This chapter is not finished yet, please click on the next page to continue reading the exciting content! He murmured, which finally turned into three words: "Amazing."

The voices of the two were very small and a little hoarse, but they were like thunder in everyone's ears, making everyone almost dizzy. Qin Ke used a completely original mathematical processing method to prove that there are infinitely many Mersenne primes?

Have you really witnessed history!?

But before anyone could relax and ask questions for confirmation, a shocking scene occurred. Qin Ke shook off his aching wrist, turned the notebook to a new page, and started writing again.

Everyone was stunned, including Faltings, Wang Xiaoyun and others. The wonder in their hearts had not disappeared, but was immediately replaced by a series of question marks.

"What is he doing?" Professor Andrew, who had been silent for a long time, couldn't help but asked aloud, but soon he opened his eyes wide and said in disbelief: "Fibonacci numbers? He...

He wants to continue to prove that there are infinite prime numbers in the Fibonacci sequence?"

Because he was so shocked, he forgot to lower his voice, and even his voice was a little broken.

One thought flashed through the minds of everyone present: Crazy, this guy must be crazy!

After just proving that there are infinitely many such world-class problems with Mersenne primes, he is now heading towards another world-class problem of the same level without stopping?

Although they are both in the field of prime numbers, they are very different!

The Fibonacci sequence, also known as the golden section sequence, is defined by a recursive method: f(0)=0, f(1)=1, f(n)=f(n-1) f(n-2)

(n≥2,n∈n*).

In the Fibonacci sequence, there are prime numbers: 2, 3, 5, 13, 89... The largest prime number currently discovered is the Fibonacci number, with a total of digits.

It has nothing to do with the 51st large prime number of the Mersenne prime, except that it is similar in "exaggeratedly large".

In other words, it has been proved that there are infinite Mersenne prime numbers, but it is useless for proving that the Fibonacci sequence has infinite prime numbers. If you want to prove that the Fibonacci sequence has infinite prime numbers, you have to start all over again.

The most important thing is that everyone can see that Qin Ke's breathing is getting heavier and heavier, his face has begun to turn pale, his body is shaking slightly, and cold sweat breaks out on his forehead. This is obviously a symptom that his body is beginning to be overwhelmed.

In such a poor physical condition, if you still have to forcefully prove such a difficult world-class problem, isn't it reckless and show off?

Sun Liwen's forehead was also sweating. He didn't know whether he should forcibly interrupt Qin Ke at this time and force Qin Ke to rest. Whether Qin Ke collapsed from exhaustion or interrupted Qin Ke and caused his proof to fail, what kind of responsibility

It's not something he can afford.

After all, it is Qin Ke’s body that matters! It proves that there are infinite Mersenne primes, which is dazzling enough!

Just when Sun Liwen gritted his teeth and reached out to shake Qin Ke, Academician Wang Xiaoyun spoke: "Don't disturb him. Inspiration is fleeting. Since Qin Ke wants to prove it, let him continue to prove it."

If Qin Ke could hear the voices from the outside world at this time, he would definitely give Academician Wang a big thumbs up. These words fully illustrate the importance of inspiration in scientific research work.

Once inspiration is missed, it is difficult to catch it again.

At least Qin Ke asked himself that if he exited the "inspiration amplification" state, it would be basically impossible to prove "the Fibonacci sequence has infinite prime numbers" which is similar in difficulty to the twin prime number conjecture.

At this time, he mustered up his energy and used the "Geometric Number Theory Matching Approximation Method" that he was already familiar with, supplemented by a small amount of "Functional Transformation Hypergeometric System" and "Group Theory Functional Equation Method", and stepped on the fallen Mersenne prime number.

proposition, and rush towards the Fibonacci sequence proposition in one go.

The closer his physical strength is to running out, the stronger the feeling of fatigue becomes, but the calmer Qin Ke's thinking becomes.

It was as if he had separated his soul from his body, using his strong will to drive the pen in his hand to write faster and faster. Each complex and difficult mathematical symbol was delicately constructed by him into lines of mathematical calculations, and with a certain bright line

The clues are connected together and slowly form a powerful force that can destroy all obstacles and break through all the difficulties in front of him!

Looking at Qin Ke who was on the verge of collapse but still writing furiously, everyone in the audience clenched their fists subconsciously and silently cheered him on. No one could think about whether Qin Ke's behavior was crazy or crazy.

Being arrogant or being brave.

They seemed to see the light shining on Qin Ke, which was a kind of perseverance and perseverance that went all out for science and truth without any regard for one's own safety, which was enough to impress anyone.

Come on, come on, come on!

No one knows whether Qin Ke can succeed, but at this moment, everyone is sincerely cheering for him in their hearts.

I don’t know how long it took, maybe ten minutes, maybe fifteen minutes, maybe only seven or eight minutes.

In this silence, the scale of time cannot be accurately grasped.

Everyone only saw Qin Ke suddenly raise his head, take a deep breath, and then put down his pen. The next moment, he collapsed as if he had lost a pillar.

Countless exclamations rang out, and many people subconsciously rushed over to help.

But Chen Ming acted the fastest. He supported Qin Ke, touched his forehead, explored his carotid artery, lifted his eyelids, and then said: "He's fine, he just fell asleep from exhaustion."

Already."

Everyone breathed a sigh of relief, and then their eyes suddenly focused on Faltings.

Faltings looked at the last line of calculations in his notebook and was stunned for a while. Then he suddenly took out his cell phone and dialed a number:

"I am Faltings. At ten o'clock tomorrow morning, Xiaguo scholar Qin Ke's report will be canceled and will be rescheduled to start at eight-thirty the day after tomorrow. He needs to have a good rest for the day."

"Yes, that's right, start half an hour earlier, because Qin Ke's report time will be one and a half hours!"

"This is the first time for such a long report meeting? It doesn't matter. I believe many people will be willing to accept such an exception and rush to listen to his report. Oh, by the way, let's promote it. The theme of Qin Ke's report will be,

The proof of the twin prime conjecture, the proof that there are infinitely many Mersenne primes, and..."
Chapter completed!