Chapter 128 Proving the Cramer Conjecture Xu Qingzhou took a deep breath and looked at the computer screen. From noon till now, he had performed three simulation calculations. The results were correct, and his calculations on the manuscript were also correct. At this point, the role of the supercomputer has been fully played out, and all that remains is to use mathematical tools to carry out the next step of calculation! Without wasting time, Xu Qingzhou took good notes, copied the data to the hard drive, packed up his things, and found an empty classroom near the supercomputing center. The place of duty. Jia Yulin raised his head and glanced at the hurried figure, "Old Huang, was that Xu Qingzhou the one who just passed by?" "Yes, it's him." Huang Mingtai nodded. "Why are young people so impetuous?" Jia Yulin shook his head. "Who knew that these math students are much crazier than us computer science students?" Huang Mingtai stopped his work and took a break to chat with his colleagues: "Do you know what he is researching?" "It seems like a guess." Jia Yulin was uncertain. "Cramer's conjecture is the problem that has remained unsolved for almost a hundred years." "Young man, you are at the same old age again."
"You can't say that. It's always good to have dreams. He has two SCI papers published in his freshman year. Professor Gu also thinks highly of him." "Now that you mention it, it seems to be true. In my freshman year, I was still thinking about how to get a girlfriend." Xu Qingzhou hurried into the classroom, spread out the manuscript, and began to do the final calculations. He didn't notice that in the back row of the classroom were the three girls from last time. They looked at Xu Qingzhou who ran in like crazy, glanced at each other, and understood each other's thoughts. They picked up their phones and started discussing in the group. Rhea: "It's the same boy again, even more exaggerated than last time. With such a serious and anxious expression, if you don't know better you might think aliens are attacking the earth." The girl with bangs on the left glanced at Xu Qingzhou secretly and typed: "Look at the pile of manuscripts he took out. They are all full of complicated mathematical formulas. I think they are quite handsome." Rhea: "He's really good-looking. But, Xiaoxi, are you sure it's because of his handsomeness and not because of the kidney you mentioned last time?" Danzai: "From the School of Mathematics, right?" 5 pm. The three girls packed up their things and prepared to go eat. At 5:40, the three girls returned to the classroom again and found that the boy was still working at his desk, frowning from time to time, as if he had discovered something important. The three of them were very surprised and felt that the boy was working too hard. Time passed by minute by minute. Xu Qingzhou did not feel the passage of time and entered a state of selflessness. The sound of writing came from the table, complex symbols appeared under the pen tip, and lines of expressions finally merged into a language that described mathematical truths. In just three hours, the flat manuscript paper was already filled with mathematical formulas. At 9:30 in the evening, Xu Qingzhou stopped writing. Looking at the manuscript spread out in front of him, he sighed. His stomach had been protesting for a long time. As soon as he stopped eating, his limbs felt weak from hunger, but there was uncontrollable excitement in his eyes.
After more than three months, I finally got it done! With a smile on his face, he sorted out all the manuscripts into a thick stack. It would be a lie to say I wasn’t happy after success. The sense of accomplishment that came over me was fascinating. This might be the charm of mathematics. However, he was very calm. This was often the case. When he really accomplished something, he did not feel as excited or ecstatic as he had imagined. This might be a kind of relief after finally achieving success after working so hard. Taking a deep breath, Xu Qingzhou calmed down and opened a new document on his computer. The problem had been solved, and the next step was to organize all the results into a paper. Although the whole process is engraved in his mind, the follow-up work is also a big project, so he plans to start writing the paper first. He placed his hands on the keyboard and began typing. Discussion on the Law of Prime Number Intervals and Proof of Cramer's Conjecture Abstract: This paper deeply explores the law of prime number intervals and gives a breakthrough proof of Cramer's conjecture, that is, (p n+1 -pn)/(lnp n)^2 =1, n→∞limsup,liminf(p n+1 -pn)/(lnp n)^2 =0, n→∞ is established Xu Qingzhou wrote very seriously, once again forgetting the fatigue brought by his body. In the third row from the back of the classroom, seeing that Xu Qingzhou had changed his topic but still had no intention of going to eat, the three girls started gossiping in the small group, which was considered a halftime break after reviewing. Danzai: "It's already 9:, isn't he hungry?" Rhea: "I've heard that people in the School of Mathematics are crazy before, and today I finally saw it. Hey, Xiaoxi, why don't you say anything?" It was Xiaoxi: "I was wondering if I should buy him some food." Rhea: "Xiaoxi, you are not really into him, are you? Boys like him are boring. He definitely loves math more than he loves you." It was Xiaoxi: "But I think people like this are very handsome, doing research." Rhea: "Xiao Xi, I advise you to make a new choice. I just took a look at his computer screen. This is what I saw on 10000 Baidu." As she spoke, Rhea posted the screenshots she had found in the group. [The mathematical Cramer conjecture was proposed by Swedish mathematician Harald Cramer in 1937. Up to now, there has been no proof of this conjecture in the mathematical community that has been recognized by the mathematical community.] Rhea: "This is a problem that has puzzled mathematicians for 80 or 90 years. Some even say that this conjecture is as difficult as the Riemann hypothesis. This guy looks like a senior at most, maybe a junior like us." Danzai: "I saw in the news that a Fields Medal winner in mathematics studied it but gave up." Rhea: "Yes, this is not love, this is possession. If you stay together, you will become unhappy." It’s Xiaoxi: “Help, he seems even more handsome now!” "." Hey~ Just as the three girls were typing, the phone vibrated. Then, they saw the boy in front of them was stunned for a moment, and was finally brought back to reality by the vibration of his mobile phone and answered the call. "Well, no one says that I do this every day." The voice was a little hoarse. Then, the boy put down his phone and returned to his previous state, his fingers dancing rapidly on the keyboard, without being affected by the phone call.
Although Yan Xi joked that he was more excited, he was indeed much more sober. Perhaps it was just as his two friends had analyzed, that although such a boy was handsome, he might really be a trap. After chatting in the group for a while, the three girls put down their phones and continued reading and doing exercises. 15 minutes passed. The sound of footsteps was heard, which was particularly obvious in the quiet classroom. Yan Xi looked up and saw a very beautiful figure slowly walking into the classroom. It's very beautiful, so beautiful that it doesn't even make people feel jealous. (End of this chapter)