In the office of the dean of the School of Mathematics of Wannan University of Technology, Senior Brother Zheng sat straight in front of the dean, trembling.

"I heard you're familiar with him?"

Senior Brother Zheng naturally knew who this "he" was, organized the language, and said: "Dean, in fact, I and his roommate are fellow countrymen, and I met him at this time, and then he became interested in mathematics, and I also tutored him in high mathematics, and last month he came to me to ask for analytic number theory, and I found out that he had taught himself to such an extent, haha, it's incredible......"

"He's here to teach you number theory?" The dean was a little puzzled, stumped that this little-known young man in front of him was also a character who pretended to be a pig and ate a tiger?

Is this going to be a big deal?

Well, look at your hairline and know it's not easy.

"Your name is Zheng Hui, isn't it?"

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

"Okay, I have a set of test papers here, you have satisfied me, the school focuses on cultivating you, and I will personally write you a letter of recommendation for your doctoral studies in the future......"

After 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, how much can you do, you can check the information Baidu, but there should be no answer, oh, by the way, he is still in the library, right?"

Zheng Hui looked confused, holding the test paper, feeling heavy, and his throat was also blocked.

Dean, can I not do it?

"Hospital...... Dean, I'll do it seriously...... Otogawa, he's been in the library lately, and he didn't go back yesterday......"

The dean smiled and said with emotion: "This is the library as a home! I haven't encountered this kind of academic idiot for a long time, when I was in college, our department also had a library master, and now they have all been rated academicians...... You do the test paper here, I'll take a look!"

Watching the dean leave and close the door, Senior Brother Zheng was silent for three minutes at the test paper in front of him, and then took out his mobile phone: "I'll go, it's really not Baidu!"

......

When the dean walked to the library under the scorching sun, Yi Xiaochuan was bursting his liver to push the math experience points, and the more he got to the back, every 1% of the progress was extremely difficult, and the math LV2 was already in sight, but it seemed to be far away.

As for proving another mathematical conjecture and skyrocketing experience points, this seems to be the way to go.

After the "Zhou's conjecture", the problem of twin primes is a good choice, and then the "1+1" problem of Goldbach's conjecture.

As we all know, a prime number is a natural number with only two factors, while a twin prime number refers to a pair of prime numbers with a difference of 2, that is, p and p+2 are both prime pairs. For example, 3 and 5, 5 and 7, 11 and 13, 17 and 19, etc. As the number increases, fewer and fewer pairs of twin primes can be observed.

There are 8 pairs of twin primes within 100, and only 2 pairs in the range of 501 to 600.

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

For example, these two primes:

2003663613x2195000-1 and 2003663613x2195000+1.

There are an infinite number of primes with a difference of 2, which is known as the twin prime 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 a product of two prime numbers. This result is very similar to the result of his conjecture about Goldbach.

But it still doesn't solve the twin prime problem.

Fortunately, on May 14, 2013, the journal Nature reported that Mr. Zhang Yitang proved that "there are infinitely many prime pairs with a difference of less than 70 million", and this research was immediately considered to have made a major breakthrough in the ultimate number theory problem of the twin prime conjecture, and some people even thought that its impact on the academic community would exceed Chen's "1+2" proof.

In his latest study, Mr. Zhang Yitang discovered the existence of an infinite number of prime pairs with a difference of less than 70 million without relying on unproven inferences, thus taking a big step forward on the road to the important problem of twin prime conjecture.

The twin prime conjecture can be weakened to "can a positive number be found such that there are infinitely many pairs of primes that are less than this given positive number", and in the twin prime conjecture, this positive number is 2.

And the positive number that Zhang Yitang found was "70 million". Despite the fact that going from 70 million to 2 is a long way to go, the Nature report called it an "important milestone".

As Dan Goldton, a professor of number theory at San Jose State University in the United States, put it: "The distance from 70 million to 2 (referring to the unfinished work in the conjecture) is insignificant compared to the distance from infinity to 70 million (referring to the work of Mr. Zhang Yitang)." ”

On May 13, 2013, Mr. Zhang Yitang delivered a keynote speech at Harvard University in the United States, introducing his research progress. According to the Nature report, if this result is true, it will be the first time that it has been officially demonstrated that there are infinitely many pairs of prime numbers with a spacing less than a fixed value. In other words, Zhang will give the twin prime conjecture proof a real "head". The world's top mathematics journal "Annals of Mathematics" accepted the article proved by Zhang Yitang, and the reviewer commented that "the proof is correct and it is a first-class mathematical work".

Mr. Zhang's paper was published on the Internet on May 14, and two weeks later, on May 28, this constant dropped to 60 million.

Just two days later, on May 31, it dropped to 42 million.

Three days later, on June 2, it was 13 million.

The next day, 5 million.

June 5, 400,000.

In the "Polymath" project initiated by British mathematician Tim Gowis and others, the twin prime problem has become a model of cooperation among mathematicians around the world using networks.

The continuous improvement of Mr. Zhang Yitang's proof has further narrowed the distance between the final solution of the twin prime conjecture.

As of July 9, 2014, the difference between prime pairs has narrowed to 246.

From 246 to 2, although it is close to the crown of twin primes, the road is getting more and more difficult, and it is unknown who will win the crown and when.

Otogawa rubbed his eyebrows, and "Gollum" drank a large glass of brown sugar water, then put aside the question about twin primes, deciding not to touch the question until LV2 was reached.

The study of mathematics requires not only brain power and IQ, but more importantly, the spark of the collision of ideas.

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

Mathematics is not something that will pay off if you put in the time and effort you put in.

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

Xiao Yi is very self-aware, and the conjecture of twin primes is not something that his current knowledge reserve can decipher.

When the interruption continues, it is chaotic.

"You're studying twin primes, isn't it too early?" Suddenly Xiao Yi was startled, and after entering the meditation, the hermit's five senses were a little dull.