I really just want to be a scholar

Chapter 399 Encounter a problem, then run out of inspiration!

In the next few days at Princeton University, Qin Ke was busier than when he was in China.

He insisted on listening to the entire report during the day, on the one hand to accumulate some academic points, on the other hand, he also learned the latest academic achievements in the international mathematics community, and improved his own mathematical theory system.

After the report was over, Qin Ke didn't even attend the dinner, and went back to the hotel without stopping, took a quick bite of the food prepared by the hotel, and then immersed himself in studying a few prime number problems.

Ning Qingyun proved that the idea of ​​Zhou's conjecture did give Qin Ke infinite space for imagination. He suddenly discovered that although the "matching approximation method of geometric number theory" is more important than "function transformation hypergeometric system" and "group theory function equation method", It's simpler, but it does have more flexibility and creativity in dealing with some less difficult prime number problems.

It is like a multifunctional saber, as long as the four mathematical methods of geometry, algebra, approximation and matching are repeatedly changed, different usages can be combined.

Qin Ke handed over the proof of Zhou's conjecture to Ning Qingyun, while he sharpened his sword and focused on other prime number conjectures that were similar in difficulty to Zhou's conjecture or a little lower.

Of course, the so-called "lower" is only relative. Prime numbers are originally a difficult sub-subject in mathematics, and conjectures related to it are basically world problems.

However, there are countless conjectures about prime numbers, and Qin Ke must select the target in a targeted manner to start. The reason why many prime number conjectures have not been proved is that they are not very meaningful and difficult. Who would waste time trying to prove?
Qin Ke is naturally not interested in those pitifully famous prime number conjectures.

He first noticed two propositions: "Whether there are infinitely many Mersenne prime numbers" and "Whether there are infinitely many prime numbers in the Fibonacci sequence".

The two propositions are not conjectures, because no one can give a reasonable guess, but they are of great significance, comparable to the twin prime number conjecture, but very difficult. If Qin Ke wants to kill them, he must first come up with his own guesses. and prove it.

In addition, there are several alternative goals, such as the new Mersenne prime number conjecture, which is a conjecture about prime numbers. For any odd natural number p, if two of the following statements are true, the remaining one will be true:
1.p=(2^k)±1或 p=(4^k)±3
2. (2^p)- 1 is a prime number (Mersen prime number)

3. [(2^p)+ 1]/ 3 is a prime number.

There is another well-known "Kramer conjecture", its mathematical expression is: limn→∞sup(Pn+1-Pn)/(logPn)^2=1, where Pn represents the nth prime number.

The above two are basically at the same level or close to Zhou's conjecture in terms of difficulty and significance.

In addition, there are "Brocar's conjecture", that is, "there are at least 4 prime numbers between the squares of two prime numbers"; and "Jepov's conjecture", that is, "between n^2 and (n+1)^2 There must be prime numbers", which is also a well-known conjecture about the distribution of prime numbers.

Qin Ke decided to start with the "Brocar's conjecture" and "Jepoff's conjecture" which are closest to Zhou's conjecture.

Facts have proved that his choice is correct. He repeatedly disassembled and used the "matching approximation method of geometric number theory", plus a little Merlin transform and Fourier transform in the "group theory function equation method", and once again made "Brocar's conjecture "The problem is simplified into complex, transformed into algebraic geometry problem, and then through linear transformation...

Lines of incomprehensible mathematical formulas flowed out under his swiping pen tip, turning into sharp swords, and slashed at the small boss named "Brocar's conjecture". It is a series of mysterious rays of truth, penetrating directly into the core of "Brocar's Conjecture".

Qin Ke only spent two nights, and the little boss "Brocard's guess" wailed and turned into countless experience points, which fell under Qin Ke's pen.

"It's done!" Qin Ke heaved a sigh of relief, his face beaming with joy.

The basic idea of ​​overcoming "Brocar's conjecture" is similar to that of proving Zhou's conjecture. In the face of the sharp and changeable saber of "geometric number theory matching approximation method", "Brocar's conjecture" cannot escape the end of collapse.

As for the "Jepov Conjecture" which is at the same level and has a similar strategy, Qin Ke is too lazy to do it himself.

On the morning of the third day, corresponding to the late night of Xia Guo time, Ning Qingyun sent a message telling Qin Ke that she had completed about 60% of the proof process of Zhou's conjecture, only some details and key points, because of experience and knowledge In terms of depth, she has never been able to overcome it.

This has surprised Qin Ke enough. Ning Qingyun's resilience and creative thinking in the proof process are excellent.For difficult points, she can repeatedly use the various methods she has mastered to make countless boring attempts.Several difficulties were solved by her with seemingly clumsy but delicate methods.

Qin Ke felt that Ning Qingjun's talent in mathematics was more like water, moistening things silently, but able to penetrate into every crevice, and with the tenacity and patience of water dripping through stone, he resolved many problems that could not be attacked by force.

This formed a very good complement to Qin Ke. Qin Ke has always been vigorous and resolute, taking the "fast, precise and ruthless" route, going straight to the core of the problem, and then making up for the rest like a cocoon.

Invincible: "Jun'er, leave the next proof of Zhou's conjecture to me. Please take a look at the proof process of the 'Brocar's conjecture' I wrote, and help me improve the details inside, and then there is this Regarding the ideas and key points of proving the "Jepov Conjecture", it is similar to the proof of the "Brocar's Conjecture". I have written out the key points of the most difficult transformations, and I will leave the "Jepoff Conjecture" to you. , I hope you can prove it 100%."

The little green bamboo wants to grow taller: "Yes! I will work hard!"

It can be seen that Ning Qingyun's confidence and enthusiasm are also increasing day by day.Qin Ke smiled lightly, opened and closed his lips, and "Shimmer" quickly converted the lips into words:
Invincible: "Work hard, don't stay up late, come, watch the video, I want to check if you have dark circles."

Little Green Bamboo wants to grow taller: "No... I'm in the dormitory, wearing pajamas, Yan Fei and Xiaohui are also wearing pajamas..."

Zhan Wubu: "I'm even more interested when you say that."

The little green bamboo will grow taller: "(chopper) (chopper) Qin Xiaoke, what are you interested in?"

Invincible: "Of course I'm interested in how you look in your pajamas. Could it be that you think I'm interested in your roommates? They're not half as beautiful as you. You have to believe my picky eyes. I'm used to seeing you." How can you look down on the stones on the side of the road when you see the dazzling gemstones and pearls?"

Little Green Bamboo wants to grow taller: "Rogue. Also, don't talk about other girls like that, okay? By the way, last time I saw the photos of the dinner you sent, there were several beautiful foreign girls, did you go to meet them? Dance?"

Invincible: "No, it's still the same sentence. Jewelry comes first, and other women are just clouds in my eyes. Besides, I only attended the dinner party for one day, and I didn't go there again. I want to prove the two worlds more Then apply for a booth and 'set up a booth' on the seventh day. Don't talk about it, can you take a selfie and show me? I haven't seen you for three days."

The little green bamboo grows tall: "No, and the lights have just been turned off. I turned on the small desk lamp, and the pictures are not clear."

Invincible: "If you don't post a selfie, then you can call 'husband' to listen, choose one of the two."

The little green bamboo grows tall: "I...I'm going to sleep."

The corner of Qin Ke's mouth curled up, and he sent several "but I miss you very much" in succession.

After a few minutes, the other party finally sent a selfie, which was taken by hiding under the blanket with a flash. The girl's hair was a little messy, her pretty face was flushed, and she looked very cute.

Qin Ke chuckled, his little cabbage was always too soft-hearted, too soft-hearted.

He also sent a handsome selfie of himself, with a sentence: "Honey, I'm leaving to listen to the report. Sweet dreams, good night."

……

After listening to the report meeting, Qin Ke was familiar with the road, and it took only one night to complete the proof process of Ning Qingyun's Zhou's conjecture. After sending it back to Ning Qingyun, he set his goal on "Are there infinitely many Mersenne primes?" ", and "Whether there are infinite prime numbers in the Fibonacci sequence" are two propositions that are no less difficult than the twin prime number conjecture.

In this foreign land, the snowflakes fall and stop, and there is the sound of howling wind outside the window. The manuscript paper in Qin Ke's hand is getting thicker and thicker. Often at two or three o'clock in the middle of the night, he can still see the light in his room on.

Relying on his excellent physical fitness and insisting on practicing the oriental secrets every day to restore his spirit, Qin Ke only slept for three hours, and devoted the rest of his rest time to studying mathematical problems.

When you are tired and bored, just chat with Ning Qingyun, or find out the previous chat records, especially the "husband" voice that Ning Qingyun sent to him on his birthday last year, shy and sweet, Qin Ke I have deliberately collected it, and whenever I am tired or feel boring, I will listen to it, and I will immediately regain my energy.

Time passed quickly with the stroke of Qin Ke's pen.

However, the difficulty of these two propositions is beyond Qin Ke's imagination. With his "professional-level" mathematical ability, even with a sharp tool such as "geometric number theory matching approximation method", the progress is still slow, and many difficulties are stuck in the middle. Enough inspiration to break through.

Inspiration... Inspiration.

Qin Ke looked at the "Inspiration Amplification" icon on the system interface, but there was no sign of activation.

Looking at the time again, today is the fifth day of the academic report meeting, and the time is past eight o'clock in the evening.Tomorrow at ten o'clock in the morning will be his keynote report on the twin prime number conjecture.

But at this moment, Qin Ke's mind was full of unsolved Mersenne prime numbers and Fibonacci sequence propositions. It felt like something was accumulating in his heart, and he couldn't get it out. , made him quite uncomfortable.

Qin Ke opened the window and saw that the wind and snow outside had already stopped, and the wind was not strong, but the icy cold air blowing in still refreshed him.

When you encounter a problem, run out of inspiration!

He put on a light down jacket, sent a message to Ning Qingyun, saying that he was going out for a run, and if he couldn't be contacted, don't worry, so he opened the door and walked out.

Chen Ming, who lived next to him, pushed the door out almost ten seconds later, followed behind him like a shadow, and didn't ask Qin Ke where he was going.

He didn't ask, but Qin Ke took the initiative to turn around and said, "Brother Chen, I want to go for a run, can I?"

Chen Ming was stunned for a moment, looked at the weather outside, and then nodded.

Qin Ke pushed open the door of the hotel, and under the surprised eyes of the little girl at the front desk, he simply finished warming up, then opened his legs and ran into the night.

The campus of Princeton University was brightly lit, and Qin Ke was already familiar with this small old school. He walked along the school road with a history of hundreds of years, kept a constant speed, relaxed his body and mind, and ran forward.

Chen Ming ran behind him silently, keeping a distance of about three meters.

Qin Ke ran past European-style or Roman-style or Greek-style buildings, ran past large iconic statues everywhere, and ran past countless brilliant lights...

The originally thin snow was crushed by the soles of the shoes, and the snow foam flew.

The cold wind blows on the body that is hot from exercise, but it feels indescribably comfortable, and it wakes up the mind.

Running and running, Qin Ke's thinking slowly returned from the relaxed state to the problems of Mersenne prime numbers and Fibonacci sequence. He began to enter a state of ecstasy, and running became a subconscious mechanical action... …

For the college students of Puda, the night is the beginning of life. Only at night can there be atmosphere in the communication such as receptions, dances, and sports.

In addition, the wind and snow have stopped, the temperature has risen, and the wind is not strong, so many students go to bars, libraries, restaurants, and indoor sports fields in groups.

Qin Ke, who was running around, had already attracted their attention, but they just looked at Qin Ke and Chen Ming curiously, and didn't pay too much attention.

But after more than half an hour, when they came out of bars, restaurants, sports fields and other places one after another, they were stunned when they saw Qin Ke and Chen Ming running in front of them again.

　Send the third update, 3K6, plus the 6K6 during the day, just to complete Riwan's task.Continue to ask for monthly ticket recommendation tickets for full booking and Zhang Shuo, like the characters!
　　Currently owed changes: guaranteed 2K, plus 4K, a total of 6K words.Continue tomorrow.

　　Finally, I kindly recommend a book "After being sealed together with the blind date", the male editor and the female author are forced to live together, and the daily life of a single heroine is relaxed and sweet
　　
　
(End of this chapter)