I really don't want to skip a grade

Chapter 298 Did Xiao Dong Really Prove It?

In the quiet late night, my quiet companion Li Yishu.

Li Yishu saw Xiao Dong sitting in the corner with his eyes closed, as if sleeping, and since he was very familiar with his character now, he naturally knew that he must be thinking about math problems again.

Moreover, she guessed that Xiao Dong was probably thinking about Zhou's conjecture again.

About Zhou's conjecture, Li Yishu knows very little. She only knows that Zhou's conjecture is a conjecture about Mersenne prime numbers. It was proposed by Chinese mathematician and linguist Zhou Haizhong in the article "Distribution Law of Mersenne Prime Numbers" in 1992. A conjecture, because this conjecture is put forward with precise expressions, and is quite mathematically beautiful and innovative, has created a new method and revealed new laws, so it enjoys a certain reputation in the international mathematics community.

Over the years, many mathematicians and mathematics enthusiasts have tried to prove Zhou's conjecture, but despite racking their brains, they found nothing.

The difficulty of proving Zhou's conjecture can be seen!
Li Yishu actually doesn't approve of Xiao Dong spending time and energy to prove this stuff, because it is really too difficult to discuss the issue of prime numbers!

In particular, it is really difficult to discuss Mersenne prime numbers, which have titles such as "Pearl of Numbers", "Diamond in Number Theory", and "Prime Number King"!
According to Li Yishu's simple understanding, Mersenne primes are actually numbers of the form 2∧P-1, where the exponent p is a positive integer, often recorded as Mp. If the numbers in this number are prime numbers (that is, prime numbers ), are called Mersenne primes.

This stuff was proposed by the famous ancient Greek mathematician Euclid as early as the 4th century BC (it was not proposed by the French mathematician Mersenne, but people named it after him in memory of him). And until now, more than 400 years have passed. Not to mention exploring the rules, it is very difficult to find such prime numbers!
Over the past 400 years, countless mathematicians have gone through relay races, first searching through written calculations, then using computer calculations, and finally using methods similar to cloud computing. It took more than 400 years to find only 51 Such a Mersenne prime!

It is said that the latest largest Mersenne prime number found is M82589933. How big is this number?

Li Yishu reckoned that if this number was typed in a normal font size, it should be able to line up as long as hundreds of kilometers!

That's such an insanely huge number!

This is not Li Yishu bragging, because on August 2008, 8, Edson Smith, a computer expert at the University of California, Los Angeles, found the largest Mersenne prime at that time, which was M23.

And this number, if it is printed continuously in ordinary font size, its length can exceed 50 kilometers!

At that time, Edson Smith found this Mersenne prime number, and was named one of the "50 Best Inventions" of the year by the US "Time Magazine", ranking 29th, and Smith also won a $10 grand prize issued by EFF !
crazy!It's really crazy!
People have always been crazy about finding Mersenne primes!

The Harwell Laboratory, the British authority on atomic energy technology, used to run the computer for more than two years, and it cost 12 pounds before and after to find the largest prime number M756839 at that time!

You say crazy is not crazy!
So, why are people looking for Mersenne primes so frantically?

In other words, what is its use?
According to Li Yishu, it's actually of no use.

For now, at most it is used to set a password?

When setting a password, multiply several prime numbers together. The larger the prime number, the less likely the password will be deciphered.

So if it's of no use, why are people frantically looking for Mersenne primes?

According to Li Yishu, it might be out of the mathematician's fun, sense of honor and spirit of exploration, or to put it bluntly, just to show off?

Because finding this Mersenne prime number is not easy, finding them requires programming and greatly improving the computing power of the computer. Therefore, finding Mersenne prime numbers not only represents a country's mathematics level, but also represents a country's computer and other scientific and technological levels. !
To put it bluntly, looking for Mersenne prime numbers is not just a mathematician's personal pretentious thing, but also a whole country's pretentious thing to other countries in the world!
Take a look at the level of mathematics and science and technology in our country, we have found a new largest Mersenne prime!Are we awesome or not? !

Of course, it is true that the competition to find Mersenne prime numbers has greatly expanded mathematical methods and greatly improved technology, especially computer levels!

Of course, mathematics is the mother of science, and finding Mersenne prime numbers seems useless now. With the development of human science, it may be of great use in the future?
Anyway, Li Yishu didn't quite understand.

But, of course, she would not dissuade Xiao Dong from exploring the Mersenne primes. She knew that she could not dissuade him. Xiao Dong was easy-going on the surface, but in fact he was a very stubborn and unruly guy!

It's just that, watching him spend so much brainpower thinking about this problem, she really feels distressed and a little pity. If he spends too much time and energy and still gets nothing (this is a completely high probability event), then maybe he will very painful.

When Li Yishu was thinking this way, Xiao Dong was immersed in the sea of ​​huge and complicated numbers!
In this kind of hard thinking, he seemed to find a few clues several times, but these clues called inspirations are fleeting like the tail of lightning, and when you suddenly see them, they have already disappeared. Flashed by, disappeared in the boundless ocean of thought!
Fuck!Xiao Dong felt ruthless in his heart, I must catch you!
But in fact, the speed of inspiration far exceeded the speed of his thinking. It took a long time before he caught the most inconspicuous piece of inspiration!

Fuck, why don’t I make full use of the power of the guide card, as long as I’m willing to spend money, I can connect it to the system’s cloud computing, not to mention other things, it should be a problem to ask the guide card to find more than 50 Mersenne primes for him not big?
As long as he finds a new Mersenne prime number, he might be able to see some patterns in the distribution of Mersenne prime numbers, and he might be able to prove Zhou's conjecture!
[Guidance card, if I want you to connect to the system's cloud computing and find me more than 50 new Mersenne primes, how many system coins do I need? 】

Xiao Dong summoned the guidance card and asked.

Guidance card: [Five thousand. 】

【ah?You grab it?But let me find Mersenne prime numbers for me, I won’t use them to pretend to be intimidating to the world, it’s just for reference, don’t kill people like that? 】 Xiao Dong was dissatisfied.

Guidance card: [If you don't need to pretend, one thousand system coins. 】

[Okay, immediately, immediately! 】 Xiao Dong urged while paying with some pain.

Just use so many system coins for reference.

After a while, the guide card showed him more than 50 new Mersenne primes.

Xiao Dong immediately changed his mind again: [Guidance card, can I use a Mersenne prime number to act coercive? 】

Guidance card: [One thousand! 】

Xiao Dong: [Then let me think about it. 】

Well, forget about that for now, let’s first use these new Mersenne primes to combine with the original 51 Mersenne primes to find the pattern.

……

Two hours have passed...

Four hours have passed...

Ten hours have passed...

Fifteen hours have passed...

……

Then, Xiao Dong, who had been sitting in a corner on the second floor of the sage space villa for more than a day, stood up, rented a computer with the system tyrant, and started typing quickly!
This beating took another half a day, and after typing the last word, he fell to the ground, snoring like thunder!
Li Yishu read the thesis on Xiao Dong's computer that had not been turned off, but from the beginning to the end, apart from knowing that this was Xiao Dong's SCI to prove Zhou's conjecture, he couldn't understand a single word!

Chen Xuejun and Du Chen came up to the second floor, read Xiao Dong's manuscript several times together, their faces became more and more serious, but when Li Yishu asked them if Xiao Dong's proof was correct, Du Chen didn't make a sound , Chen Xuejun faltered and said: "It seems, vaguely feels that there seems to be some truth?"

Du Chen took the draft and began to calculate with Chen Xuejun, but the two of them were still at a loss after calculating for a long time. They really couldn't judge whether Xiao Dong's proof was correct or wrong.

Of course, no matter whether Xiao Dong proved it right or wrong, the two of them could somehow see that Xiao Dong used an unprecedented method to prove it, and this method was really ingenious and novel!

Xiao Dong slept for more than nine hours. After he woke up, Chen Xuejun and Du Chen discussed his proof with him.

In fact, it was a discussion, and most likely it was Xiao Dong explaining that the two were listening. After listening, Chen Xuejun and Du Chen understood Xiao Dong's thinking a little bit more clearly, but they still couldn't judge whether Xiao Dong's proof was right or wrong. of.

This is also normal. Mathematics research is high-level, and many advanced mathematics papers cannot be understood by people other than mathematics. Even mathematicians who study different mathematics directions have difficulty understanding each other.

Therefore, it is normal for Chen Xuejun and Du Chen to not understand Xiao Dong's thesis.

"Where are you going to vote?" Chen Xuejun finally asked.

"Annual Journal of Mathematics." Xiao Dong said.

Chen Xuejun and Du Chen glanced at each other after listening, Chen Xuejun hesitated and said: "Xiao Dong, "Mathematics Annals" are the four top mathematics journals in the world today, you just started to vote for SCI, isn't this goal a bit high? ?”

As one of the top four mathematics journals in the world, Annals of Mathematics was originally sponsored by Harvard University, and later transferred to Princeton University, the world mathematics center, and is now jointly sponsored by Princeton University and the Princeton Institute for Advanced Study.

In a journal of this level, it is difficult for a well-known domestic mathematician to publish a paper, let alone an unknown college student.

"A paper that proves Zhou's conjecture should be qualified to be published in the Annals of Mathematics, and it is precisely because of their high level that they are more knowledgeable." Xiao Dong said firmly.

Chen Xuejun and Du Chen glanced at each other, but they didn't know what to say?I thought that if you really proved Zhou's conjecture, you would be eligible to publish it in the "Annals of Mathematics", but are you sure now that you really proved it?

"I can be sure that I have really proved Zhou's conjecture, it depends on their vision and level." Xiao Dong pretended to be authentic.

The reason why he is so sure is because he has already asked the guide card to judge him, and his proof is completely correct!
Chen Xuejun: "..."

Du Chen: "..."

The two were speechless for a while, but they were right after another thought. If Xiao Dong really proved Zhou's conjecture, then "Annals of Mathematics" would definitely publish it. It will not be published to him.

Therefore, it really doesn’t matter which journal Xiao Dong votes for, because the results are the same.

It depends on whether he has proved Zhou's conjecture.

(End of this chapter)