Xueba's Resurrection

Chapter 42 Difficulties
In Wannan University of Technology, in the office of the dean of the School of Mathematics, Brother Zheng sat upright in front of the dean, trembling.

"I heard you knew him very well?"

Brother Zheng naturally knew who this "he" was, organized his language, and said: "Dean, in fact, his roommate and I are fellow villagers, so I only met him. Later, he became interested in mathematics, and I also tutored him in high school." Numbers, last month he asked me to ask for advice on analyzing number theory, and I found out that he has learned so much by himself, haha, it’s incredible..."

"He came to ask you about number theory?" The dean was a little puzzled, wondering if this unknown young man in front of him was also a character who pretended to be a pig and eat a tiger?
Is my Anhui University of Technology going to give birth?
Well, it is not easy to see your hairline.

"Your name is Zheng Hui, right?"

"Yes, dean, student Zheng Hui, second year graduate student, studying financial mathematics under Professor Gao..."

"Okay, I have a set of test papers here. I am satisfied with your test. The school focuses on training you. In the future, I will personally write a recommendation letter for you..."

After finishing speaking, the dean opened the drawer, took out a handwritten test paper, put it in front of Zheng Hui, and said: "The question is a bit difficult, as much as you can do, you can check the information on Baidu, but there should be no answer Yes, oh, by the way, is he still in the library?"

Zheng Hui looked dazed, holding the test paper, feeling heavy, and his throat was congested.

Dean, can I not do it?

"Dean... Dean, I will do it seriously... Otokawa, he has been in the library recently, and he didn't go back yesterday..."

The dean smiled and said with emotion: "This is the library! It's been a long time since I've encountered this kind of idiot. When I was in college, our department also had a library owner. Now it's been evaluated. Enrolled as an academician... You are doing the test paper here, I will go and have a look!"

Watching the dean leave and close the door, Brother Zheng was silent for 3 minutes facing the test paper in front of him, and then took out his mobile phone: "I'll go, I really can't find it on Baidu!"

……

When the dean walked to the library under the scorching sun, Yi Xiaochuan was pushing his math experience points. As he got to the back, every 1% advancement was extremely difficult. Math LV2 was already in sight, but it seemed that it was nowhere in sight.

As for proving another mathematical conjecture and greatly increasing the experience value, this seems to be a way.

After the "Zhou's conjecture", the problem of twin prime numbers is a good choice, and then it comes to the "1+1" problem of Goldbach's conjecture.

我们都知道，素数是只含有两个因子的自然数，而孪生素数，是指差值为2的素数对，即p和p+2同为素数对。例如3和5、5和7、11和13、17和19等。随着数的变大，可以观察到的孪生素数对越来越少。

100以内有8个孪生素数对，而501到600这个区间，只有2对。

As a prime number increases, the next prime number gets farther and farther away from the previous prime number, but a conjecture equally famous and important as Goldbach's conjecture asserts that there are infinitely many pairs of prime numbers that differ by only 2.

For example, these two prime numbers:

2003663613x2195000-1和2003663613x2195000+1。

There are infinitely many prime numbers whose difference is 2, which is the famous twin prime number conjecture.

In 1966, Chinese mathematician Chen Jingrun made great achievements by using the sieve method.

Chen Jingrun proved that there are infinitely many prime numbers p such that p+2 is either a prime number or the product of two prime numbers.This result is very similar to his result on Goldbach's conjecture.

But it still can't solve the twin prime number problem.

Fortunately, on May 2013, 5, "Nature" magazine reported that Mr. Zhang Yitang proved that "there are infinitely many pairs of prime numbers whose difference is less than 14 million". A major breakthrough has been made on the issue of ultimate number theory, and some people even think that its influence on the academic world will exceed Chen Lao's "7000+1" ​​proof.

In the latest research, Mr. Zhang Yitang found that there are infinitely many pairs of prime numbers whose difference is less than 7000 million without relying on unproved inferences, thus making a big step forward on the important issue of the twin prime number conjecture.

The twin prime number conjecture can be weakened to "can you find a positive number such that the difference between infinitely many pairs of prime numbers is less than this given positive number?" In the twin prime number conjecture, this positive number is 2.

The positive number Zhang Yitang found was "7000 million".Although it is a long way from 7000 million to 2, the "Nature" report called it an "important milestone."

As Dan Galston, a professor of number theory at San Jose State University in the United States, said: "The distance from 7000 million to 2 (referring to the unfinished work in the conjecture) is compared to the distance from infinity to 7000 million (referring to the work of Mr. Zhang Yitang) It's insignificant."

On May 2013, 5, Mr. Zhang Yitang delivered a keynote speech at Harvard University, introducing his research progress. "Nature" reported that if this result is true, it will be the first time someone has formally proved that there are infinitely many pairs of prime numbers whose distance is smaller than a fixed value.In other words, Zhang will give a real "head" to the proof of the twin prime number conjecture.The world's top mathematics journal "Annual of Mathematics" accepted the article of Zhang Yitang's proof, and the reviewer commented that "the proof is correct and it is a first-class mathematical work".

张益唐先生的论文5月14号在网络上公开，两个星期后的5月28号，这个常数下降到了6000万。

Only two days later, on May 5, it dropped to 31 million.

Three days later, on June 6, it was 2 million.

The next day, 500 million.

On June 6, 5.

In the "Polymath" project initiated by British mathematician Tim Gowes and others, the twin prime number problem has become a typical example of cooperation among global mathematicians using the network.

People continue to improve Mr. Zhang Zhang Yitang's proof, further narrowing the distance to the final solution of the twin prime number conjecture.

As of today, July 2014, 7, the difference between prime pairs has been reduced to 9.

From 246 to 2, although the laurels of twin prime numbers are close at hand, the road is getting more and more difficult, and it is unknown who will win the crown and when.

Yi Xiaochuan rubbed his eyebrows, "Gulu Gulu" drank a large glass of brown sugar water, then put aside the question about twin prime numbers, and decided not to touch this question until he reached LV2.

The study of mathematics requires not only brainpower and IQ, but more importantly, the spark of thought collision. Only by grasping the momentary burst of inspiration can we gain something.

Otherwise, no matter how much energy points are invested, it is just a fantasy and cannot achieve the effect.

Mathematics does not mean that if you invest time and energy, you will be rewarded.

Although it took several days and consumed 64 points of energy, Xiao Yi decisively gave the proof of the twin prime conjecture to PASS, and did not plan to conquer this mathematical mountain now.

Xiao Yi is very self-aware, and the conjecture of twin prime numbers is beyond his current knowledge reserve.

Indecisiveness leads to disaster.

"You are studying twin prime numbers, isn't it too early?" Xiao B was startled by a sudden sound. After entering meditation, the five senses of the hermit were a little dull.

(End of this chapter)