In order to prove that "for all natural numbers k, there are infinitely many pairs of prime numbers (p, p

2k)" This problem of algebraic additive number theory, also known as Polignac conjecture, Qin Ke has invested countless efforts. Since proving the twin prime conjecture in September last year, there has been no research on Polignac conjecture.

Interrupted.

At this time, Qin Ke could be said to have accumulated a lot of experience, and the more he wrote, the smoother he became. He found that he really liked this kind of exam atmosphere. Surrounded by candidates who were working hard to solve the questions, his thinking was actually clearer than usual.

Qin Ke even vaguely felt that he was likely to overcome two relatively easy key points in the two days of Qiu Xi.

As Qin Ke concentrated, he gradually forgot that he was still taking an exam, and only saw countless calculations related to Polignac's conjecture...

He focused on studying the Polignac conjecture and did not pay attention to the outside world. However, the candidates in the same examination room always glanced at him unconsciously. Many people saw that he had been writing non-stop and secretly breathed a sigh of relief.

Continue to frown and answer questions.

The two-and-a-half-hour exam was neither long nor short, and it seemed a bit difficult when faced with a paper with a large amount of questions and very difficult questions.

Many candidates who signed up for all six subjects just to try their luck soon found that they couldn't do it anymore, so they simply turned in their papers in advance in about an hour and a half.

Some candidates are self-aware and feel that there is no need to waste time on this subject. It is better to go back to rest early and recharge their batteries for the afternoon subject, so they get up and hand in the paper.

At noon, when the bell rang for handing in papers, only about one-third of the candidates were left in the classroom at Nottingham University.

Qin Ke turned a deaf ear to the ringing. He was completely immersed in studying Polignac's conjecture. The piece of draft paper had almost become black because he had written it seven or eight times, but all the processes had been completed.

deeply imprinted in his mind.

The candidates who handed in their papers and got up to leave unexpectedly looked at Qin Ke, who was still writing. Why is this scholar, the god of learning, still writing when the bell rang?

But when they saw three invigilators standing next to Qin Ke, they didn't dare to say anything. They just whispered to each other and left the examination room.

Soon Qin Ke was the only candidate left in the examination room.

Of course, the invigilators knew that Qin Ke had already prepared the papers, and they wanted to remind Qin Ke to hand in the papers, but Qin Ke's expression was too focused and exuded a strange courage, so the invigilators did not dare to disturb him.

Especially the densely written black draft paper makes people feel numb just looking at it.

After waiting for almost ten minutes, a professor-looking patrol teacher walked by the window and saw three invigilators still surrounding a student. The student seemed to be still answering questions. This was a big violation of the rules of the examination room. He couldn't help but

Frowning, he walked in and said, "What's going on? Isn't it past the time for handing in papers early..."

Halfway through his words, he recognized that the student surrounded was Qin Ke, and was stunned.

"Professor Pan." The three invigilators hurried over and explained the situation in a low voice.

Only then did Professor Pan realize that Qin Ke was not answering the questions at all, so he nodded and said softly: "First collect his papers and answer sheets and hand them in together. I will be responsible for recycling the draft paper."

A young teacher hesitated and said: "We are afraid that if we go over to take his paper, it will disturb his train of thought."

"It doesn't matter, if you want to disturb him, the question I just asked when I came in would have disturbed him a long time ago." The professor looked at Qin Ke, who was still focused and did not notice the changes in the outside world, and couldn't hide the admiration in his eyes:

"This kid's concentration is stronger than any student I have ever seen. He is really born to engage in academics and scientific research. He is truly a genius who won the Chen Shengshen Mathematics Award in his freshman year. It's a pity that we at YSU don't have this kind of talent.

Fortunately, otherwise in the next 20 to 30 years, our School of Mathematics at Yan University may not be able to keep pace with the mathematics majors at MIT, Cambridge and even Princeton..."

The three invigilators were secretly stunned when they heard this. They did not expect Professor Pan to speak so highly of Qin Ke.

At Professor Pan's signal, an invigilator gently collected the papers from the corner of Qin Ke's desk and put them into a sealed bag. Sure enough, Qin Ke was not disturbed during the whole process.

Professor Pan asked the two teachers to take the sealed bags with all the papers and answer sheets and leave first. He and another invigilator were waiting here to finally collect the scratch paper.

Qin Ke didn't breathe a sigh of relief until more than half an hour later. The result was even better than he imagined. He had successfully overcome the first key difficulty, and now only the last four difficulties were left!

Only then did he notice that the examination room was empty, almost all the people were gone, only two invigilators were standing next to him.

Qin Ke looked up at the hanging clock and found that it was already over. He understood it immediately and stood up in a hurry and apologized: "I'm sorry, teachers, I didn't pay attention to the time and kept you waiting for so long. You can just call me next time."

That’s it.”

Professor Pan's waist was a little sore from standing, but seeing Qin Ke's attitude, he felt relieved. He waved his hands to indicate it was okay, and asked with a smile: "We have taken away your answer sheets and papers, and only the draft paper is left.

Come on, Qin Ke, what are you writing?"

Qin Ke looked familiar to this professor, and suddenly remembered, wasn't this the teacher who taught the "Analytical Number Theory" elective course that he and Ning Qingyun attended at Yanda last semester?

"Hello, Professor Pan! I am just writing some thoughts on Polignac's conjecture."

It is not a secret that Qin Ke is studying the topic of Polignac conjecture. Everyone in the academic circle knows it, and Professor Pan naturally knows it. He pondered for a while and said: "Since it is such an important research material... then you can use this

Take the scratch paper back with you."

The invigilator next to him asked: "Professor Pan..."

Qin Ke also knew the rules of the examination room and said hurriedly: "It doesn't matter. I have just been verifying whether the idea of ​​a certain node is feasible and concluded that it is feasible. This is enough. This scratch paper is nothing to me.

Used it." He handed the scratch paper to the invigilator and apologized again: "I'm really sorry for keeping the teachers waiting here for so long."

This chapter is not over yet, please click on the next page to continue reading! The invigilator looked at Professor Pan before taking the draft paper from Qin Ke and putting it in a sealed bag.

Professor Pan smiled and said: "We are all our own people, why are you so polite? You and Ning Qingyun often come to our Yanda University to attend lectures. In our hearts, we have long regarded you two as our students, but it is not impossible if you really want to express your apology."

, how about giving a number theory class to the students of Yanda University when you have time?"

The invigilator next to him almost gave a thumbs up when he heard this. This was quite reasonable. Regardless of whether Qin Ke would jump to Yanda or not, there is no harm in Qin Ke maintaining a good relationship with such a talented student who is destined to shine brightly in the future.

Yes, and this lecture is familiar to me after two visits. Maybe there will be a chance to invite Qin Kele to teach at Yanda in the future.

——In fact, there has been a general consensus within Yanda that the main thing is to win over Qin Ke and Ning Qingyun, and there should not be any dissatisfaction or contempt for them coming to observe the class. This attitude of the school is the third reason.

This is an important reason why the invigilators did not dare to disturb Qin Ke's thinking easily to avoid making him unhappy.

Qin Ke knew very well what Yan University was up to, so he was so humble that he was just a freshman who wasn't good enough.

He really wanted to enrich his academic horizons during his freshman and sophomore years, and at the same time enjoy the rare university life, and had no intention of stepping onto the podium.

Professor Pan laughed: "Qin Ke, you are too modest. I have read your and Ning Qingyun's paper on the 'fourth-order transformation method of lime number theory'. It is really exquisite, especially the use of this original method."

The mathematical methods have proved several world-class conjectures, including Zhou's conjecture, which really impressed me. With your current level of mathematics, it is not difficult for you to become a full professor at YSU."

Qin Ke was startled: "Has the paper been sent out? Oh, by the way, today is March 23."

He did receive an email from the "Annals of Mathematics" at the beginning of the month, which mentioned that the paper had passed the review of peer experts and would be published soon. However, he has been preparing for Ning Qingjun, Jiang Zhenjie, and Ximen Hui to compete in Qiu Sai recently.

Forgot about this.

"It still takes about two days to get it in China, but the "Annals of Mathematics" has been released and sold in the West early this morning, and the official website has also released an electronic subscription version simultaneously. I stayed in front of the computer and browsed the webpage, and immediately

Subscribed, I believe there are many mathematicians like me who are looking forward to this paper. It turns out that this issue of the Annual Journal of Mathematics only published six academic papers, all because the paper co-authored by you and Ning Qingjun was too long.

From this we can also see that the Annals of Mathematics attaches great importance to your paper."

It is not surprising that important papers involving world-class conjectures like this are repeatedly reviewed by a large number of experts for a year and a half. However, on the one hand, the "Annals of Mathematics" does give priority to Qin Ke's paper for review and publication. On the other hand, it also

Because most of Qin Ke's paper has been explained at Princeton's annual academic report meeting, most of the experts and experts who are qualified and capable to review this paper are present. The paper submitted this time is just a compilation of the report content.

It has been written into a written version and the "fourth-order transformation method of lime number theory" has been described in detail. It is not surprising that the review speed is fast.

Qin Ke's heart skipped a beat. The publication of the paper meant that there would be new rewards for the system's "achievement made me improve". After a few polite words with Professor Pan, he took all the documents and looked at Professor Pan's regretful eyes.

left.

Taking back his mobile phone, Qin Ke quickly opened the official website of the Annual Journal of Mathematics, and sure enough he saw the cover of the latest electronic issue on the homepage, with the title of his and Ning Qingyun's paper clearly printed on it.

Really hammered!

Almost at the same time, Qin Ke heard a system prompt:

"Congratulations to the host, you have proved with your original 'fourth-order transformation method of lime number theory' that 'there are infinitely many Mersenne prime numbers', 'there are infinitely many prime numbers in the Fibonacci sequence', 'Zhou's conjecture', 'Brocard'

Conjecture' and 'Jepov's Conjecture', and successfully published papers in top international mathematics journals. The academic achievements were recognized by the international mathematics community. The system evaluated the 'score' as 'S', and the 'scores make me improve' function took effect.

, your academic points (mathematics) are 1000! Additional rewards increase science talent by 10%!"

"Mathematics level: Master level, next level: Grandmaster level, upgrade progress: 0"

A full 1,000 academic points!

Qin Ke was excited. You must know that when the twin prime conjecture was proved, the system only awarded 200 academic points. Now it has been increased five times, which is quite generous. After all, the last three Zhou's conjectures were published.

The Rocard conjecture is a world-class conjecture that is one level lower than the twin prime conjecture.

What excites Qin Ke the most is the reward for increasing his science talent by 10%.

Originally, his science talent value was 600, but now it has been increased by 10% to 660, one step closer to the latest upper limit of 720!

The effect of the 10% improvement in science talent is still a bit obvious. Qin Ke feels that his brain is as clear and fresh as a young leaf that has just been watered by the spring rain. He originally felt tired from studying Polignac's conjecture all morning.

Also swept away.

Come on, try to figure out Polignac’s conjecture as soon as possible!

…

It started to quiet down outside the examination room. Most of the candidates from Qingmu University had left. Only Ning Qingyun, Jiang Zhenjie, Ximen Hui, and Wei Yuanfu, the director of the Department of Mathematics, were still there.

Gan Zhihang also came out a little late. He walked over with a stiff face and asked Ning Qingyun, who was answering questions for Jiang Zhenjie and Ximen Hui: "Ning Qingyun, how many questions did you answer on the morning paper?"

Ning Qingyun still had such a cold expression towards the unfamiliar boys, and said calmly: "It's all done."

The corners of Gan Zhihang's eyes twitched, and he asked again unconvincingly: "Is everything done?"

Ning Qingyun nodded.

Gan Zhihang was silent for a while, then looked at the two "little characters" Jiang Zhenjie and Ximen Hui. Ximen Hui's lips curled up: "I made ten questions."
To be continued...