Chapter 70 Prove Zhou's Conjecture!

After delaying at Lao Tang for a while, Lu Zhou was immediately surrounded by a group of freshman and elementary school girls as soon as he came out of the lecture hall.

Well, in fact, there are still some juniors next to me, but seeing so many girls, I am too embarrassed to squeeze in with my thin skin.

"Senior, senior, how did you learn advanced mathematics? I feel that advanced mathematics is very difficult. Do you have any learning experience that you can teach me?"

"Senior brother and brother, I heard that our school has a policy of guaranteeing extra points for research in the National First Years? Is that right? Or we must get the Higher Education Club Cup..."

"Boss, are you still competing next year? Do you still lack teammates? I will write a paper! I won the best debater in the high school debate! First prize in the Olympiad!"

"Brother Xueba, do you have a WeChat account? Can you add me~"

In the face of this continual question, Lu Zhou was stunned.

Although I know I'm handsome, you don't have to be so enthusiastic.

It's so embarrassing...

After finally getting rid of the entanglement of the younger brothers and sisters, Lu Zhou, carrying a computer bag, walked towards the library.

Chen Yushan has been reviewing politics these days, mainly memorizing, so she didn't come to the library.

It just so happened that Lu Zhou didn't have time to talk to her for the past two days.

Although the system printed the proof method in his mind, it still took a lot of effort to sort out the proof process that was enough to fill three or four pages of A4 paper.

Basically, if you want others to understand your proof process, you must at least digest it yourself.

The last thing written on the paper may not be as simple as the three or four pages given by the system, and the length may be doubled.

Moreover, number theory is not Lao Tang's research direction, and no one has checked his thesis this time. If you want to review the manuscript at one time, you must devote 120 points of concentration to restore every vague detail in the proof process given by the system, so that academic editors can’t find faults to pick!

[Discussion on the distribution law of Mersenne prime numbers and proof of Zhou's guess]

【Abstract: This paper studies the distribution law of Mersenne primes and proves that when 2^(2^n)

After typing a space in the main text, Lu Zhou jumped directly to the position of the cited document, and quickly typed a line of text.

[Citation: Distribution Law of Mersenne Primes [J]. Zhou Haizhong. Journal of Yixian University (Natural Science Edition). 1992(04)]

The literature that needs to be cited is only this one.

In the past two decades, countless mathematics enthusiasts and number theory researchers have repeatedly verified this theorem, but none of them have been successful. Even Mr. Zhou himself, who made this conjecture, has been studying for so many years, but he could not give a suitable proof for this conjecture.

And the charm of number theory is here, and the apple hangs on everyone's head. Whether it is a mathematician or a math enthusiast, everyone can see the attractive blushing. Just wait for a tall man to come, tiptoe, and pick it.

With both hands off the keyboard, Lu Zhou picked up the pen and paper.

When he entered the state, he completely forgot foreign objects, and even forgot himself.

The only piece of paper in the world.

Infinite prime numbers are infinitely enlarged under the tip of his pen, and infinitely closed in line-by-line expressions. The intertwined numbers and symbols merged into a spell, weaving the magic of describing the truth of the universe.

Time passed minute by minute.

A piece of scratch paper spread on the table gradually covered the table in front of Lu Zhou.

Noon, lunch time.

The buddy next to the postgraduate entrance examination stretched and was about to get up to go to the cafeteria to eat when he suddenly noticed the pieces of scratch paper that Lu Zhou had laid out on the table, and the row-by-row calculations on the paper. .

What's so arrogant?

After so many pieces of scratch paper, you can't finish it?

It looks quite young, like an undergraduate, but is there such a difficult math problem at the undergraduate level?

When he leaned over to take a look, he could probably see that it was a number theory problem, but if he looked further down, he didn't quite understand it. On the one hand, Lu Zhou's handwriting in drafting is really flying and phoenix dance. On the other hand, he is not in this research direction. He knows a little bit about number theory, but only knows a little bit.

Just when he was full of curiosity and was about to ask this person what he was proving, he suddenly noticed the title of the document in the center of the screen on the laptop—

Proof of Zhou's conjecture? !

Curiosity disappeared instantly.

Oh, it turned out to be a lunatic.

"Another stupid mathematician."

I complained in my heart, the buddy who took the postgraduate entrance examination said nothing, picked up the backpack, turned around and left.

Although he is not in this research direction, it does not mean that he is ignorant of this direction.

For 20 years, mathematicians all over the world, as long as they study the direction of number theory, have more or less studied special prime numbers such as Mersenne primes, twin primes, and Fermat primes. After all, this is the key to the problem of the century. key. As long as the Mersenne primes are studied, the proof of Zhou's conjecture has basically been tried.

But has anyone succeeded?

Not to mention apple picking, there is not even a person who builds a ladder or moves a stool!

If you have an undergraduate student ID card, you will be in hell!

Lu Zhou, who was completely immersed in that line of calculations, naturally couldn't notice the mental activity of a passerby behind him. Not to mention the trouble, even the passage of time and the hunger in the belly were all annihilated in that line of calculations.

I don't know since when, he has become accustomed to this unhealthy way of learning...

When Lu Zhou wrote the last line of the formula, the sky outside the window was completely dark.

Taking a deep breath, he leaned back on the chair, feeling his whole body collapsed.

On the one hand it is tiring.

On the other hand is hungry.

"I actually forgot about such an important thing as eating... It seems that I am really cultivating immortality and cultivating inedia."

The difficulty of this paper is much more difficult than that of the previous "Optimal Inversion Theory of Linear Operators and Linear Functionals", and the academic value is not on the same order of magnitude. Fortunately, the core work has been completed, and the remaining work is to organize these drafts on A4 paper, and then input them into the computer to complete the entire paper.

Rubbing his stomach, Lu Zhou was about to stand up and put away the scratch paper on the table.

However, at this moment, he was suddenly placed on a piece of scratch paper in the corner, and a line of numbers listed attracted his attention.

"what?"

With a light hum, Lu Zhou picked up the pen, circled a few numbers on the scratch paper, and then rearranged them.

The two sets of data after arrangement are exactly twin prime numbers.

Lu Zhou frowned and tapped the tip of the pen on the scratch paper.

Write down two lines of equations.

But it was quickly crossed out again.

The famous Polignac conjecture states that for all natural numbers k, there are infinitely many pairs of prime numbers (p, p+2k). And when k=1, it is the twin prime conjecture. The research on the distribution law of Mersenne prime numbers, in a sense, also provides a way to solve the infinite problem of twin prime numbers.

Just when he restored the proof of Zhou's conjecture just now, he seemed to have discovered something vaguely.

Pinching his eyebrows, Lu Zhou felt a little headache.

No, no idea at all...

Inspiration at that moment is fleeting, missed opportunities, it is difficult to seize.

MMP!

This number theory is definitely not played by ordinary people.

"System, give your master some inspiration."

Lu Zhou shouted silently in his heart, but the system did not respond.

All right.

It seems that the directional problem of the problem-solving idea is also not within the scope of the system's solution.

"Student, it's going to be closed."

Sobering up from his contemplation, Lu Zhou realized that the librarian aunt was standing beside the table. Looking back at the library, the students in the library who have not left seem to be the only one left.

"Ah, I'm sorry, I'll pack up now." Lu Zhou smiled apologetically and reached out to clean up the drafts on the table.

He couldn't bear it any longer.

Better to go out and eat something first.