Ning Qingyun closed her eyes obediently and fell asleep a few minutes later. Her sleep quality has always been very good, and she is indeed exhausted these days. Looking at the dark circles under her eyes, she probably didn't have them in the school dormitory a few days ago.

Stop staying up late to study the Polignac conjecture.

Qin Ke quietly got out of bed, covered Ning Qingyun with a quilt, and returned to the study.

Ning Qingyun thought that if he won the Kohl Prize, then Qin Ke would have to realize his dream.

What's more, he doesn't want to lose to the old eagle who is eager for quick success. He is determined to win the Scientific Breakthrough Award and the Cole Award!

Qin Ke picked up the small book Ning Qingyun put on the desk and followed her thoughts. He found that Ning Qingyun actually tried to solve the complex analysis problem on Riemann surfaces in five different ways. Each method was deeply understood.

The essence of number theory methods by Tian Jianlan and Academician Wang Lao.

Qin Ke sighed a little. Unknowingly, Ning Qingyun was also growing rapidly. Now when it comes to number theory, she is no worse than any graduate student majoring in mathematics in the world.

After Qin Ke read Ning Qingyun's part, he looked carefully at the part he had written again.

The night gradually deepened, and Qin Ke vaguely felt that he had touched the edge of inspiration, but he was always a little short of it.

This chapter is not finished yet, please click on the next page to continue reading the exciting content! It was not easy for him to go out for a run in the middle of the night, so he simply went to the hall on the first floor to practice the Eastern Secret Code and Wing Chun. Over and over again, he practiced boxing and

Gymnastics made his mind calmer and quieter.

I don’t know how long it took, maybe an hour, maybe two hours, but finally at a certain moment, Qin Ke entered a familiar and wonderful realm!

The system's "Inspiration Amplification" function is finally activated again!

Qin Ke rushed back to the study room on the second floor, picked up a pen and started writing.

In the world of "inspiration amplification", his thinking sparkled with lightning. All the accumulation he had accumulated in the past four or five months in studying Polignac's conjecture, all the books and papers he had read, and all the lectures he had attended, were all clear to him.

It appeared in front of his eyes, allowing him to use it at his fingertips.

What does accumulation mean?

This is true accumulation!

In this world of inspiration, Qin Ke once again integrated the essence of the number theory methods that Ning Qingjun learned from Professor Tian Jianlan and Academician Wang Lao into the "function group hypergeometric method", transforming the already complete new mathematical method into

It has become more concise and effective. In the past two months, he and Ning Qingjun have worked together to prove the Polignac conjecture, and all the processes have been optimized for points, lines and surfaces in this "function group hypergeometric method".

In the end, it turned into an unstoppable force, and the fifth key difficulty "the Möbius transformation group problem on the Riemann sphere" that had troubled him and Ning Qingyun for more than half a month suddenly turned into ashes!

By the time it was getting light, Qin Ke had filled up more than forty pages of draft paper.

He breathed a long sigh of relief, put down his pen, staggered back to the master bedroom, flopped down on the bed, and fell asleep in an instant.

And the last line of the more than 40 pages of draft paper clearly said:

"Therefore, for all natural numbers k, there are infinitely many pairs of prime numbers (p, p

2k). Polignac conjecture is proved.”
Chapter completed!