Chapter 6 Answers to a Proof Question
As a student of the Department of Mathematics, Lu Zhou certainly knows what a Mason prime is.
After all, when it comes to Mersenne primes, we have to mention a great Chinese mathematician, as well as his "Mersenne Prime Distribution Law" published in 92, which turned Mersenne primes into a formula that can be expressed by mathematical symbols, which is commonly known as Zhou's guess in the world.
Previously, although the British mathematician Shanks, the French mathematician Torotta, the German mathematician Berlihardt, the Indian mathematician Ramanuyan, and the American mathematician Gillis had their guesses in common, that is, they were all proposed in approximate expressions, and the proximity to the actual situation was unsatisfactory.
However, the exact formula of Zhou's guess is very simple, that is, when 2^(2^n)<p<2^(2^(n+1)), Mp has 2^(n+1)-1 is prime.
Seems simple, doesn't it?
I can do it too, right?
However, such a conjecture, which has not been proven or disproved so far, has become a well-known mathematical problem that has plagued the entire mathematical community for more than 20 years.
However, this thing is like the Riemann conjecture, although it cannot be proven, it does not prevent later generations from assuming that it is true and using it.
Of course, even with a precise formula, even if the treasure hunt is left to a computer, it is still not easy to find the Mersen prime.
Up to now (2015), a total of 44 Mersenne primes have been discovered in the mathematical community.
As for what is the use of this Mersenne prime?
It doesn't seem to be of much use.
If you have to say, the RSA algorithm is one, and every online shopping has to thank the large prime number hidden in the password that cannot be disassembled. At the same time, large prime numbers are also used to test the performance of computers. For example, intel uses the GIMPS program to inspect the chip, and the SKYLAKE chip has also found bugs from this.
Also, there is no point in dwelling on whether math is useful or not. In many cases, trend mathematicians are motivated not necessarily by the financial benefits of solving an equation, but by the fact that it is there.
To put it more broadly, human beings must not only have what is in front of them, but also poetry and distance.
However, Lu Zhou is not happy, he doesn't want any poetry and distance, what he wants is what is in front of him!
Moreover, why is it the proof method of Zhou's conjecture! Give me a Riemann conjecture! Or Bill's guess is a little lower!
Academic merit aside, Bill's hypothesis has been doubled to a million dollars, which will be provided by Bill himself, a well-known Texas banker.
As for Zhou's conjecture, there are many people who have tried to prove it, but no one seems to have offered a reward for this thing.
Seeing a house fly away like this, Lu Zhou's mood was not beautiful in an instant.
But in a good place, even if it is just Zhou's conjecture, if he can prove it, it will be a good thing to leave a name in the history of mathematics. As for the material reward, although there is no reward for this speculation, I think that the school should not treat itself badly, at least the scholarship for the next three years is stable.
Isn't that classmate Liu, who proved Sitapan's conjecture in his sophomore year, the best evidence? It is said that NTU directly gave 1 million people, of which 500,000 yuan was used as scientific research funds and 500,000 yuan was used to improve their lives.
Jin Da can finally rank in the top ten in the country, although the mathematics department is a little weaker, but even for the sake of face, he can't be compared to Nanda outside the top ten, right?
Thinking about it like this, Lu Zhou felt a little better.
After calming down, he took out the proof process and glanced at it.
Unlike the bottle of Coke labeled as "garbage", the Zhou's conjecture proof, which is a major category of "drawings", is not specifically presented on paper or electronic files. When you want to see it, just recite it silently in your mind, and the whole set of proof steps can directly come to mind.
"I don't understand it at all...... It seems that it will take a while just to understand the proof process. ”
Lu Zhou thought in his heart, how to take out the proof process at hand logically.
First of all, it's useless to memorize it, you have to understand it yourself.
Secondly, you have to package yourself as a top student.
Not to mention anything else, you can even solve the mathematical problem of Zhou's conjecture, and you can't even get a full score in high mathematics and mathematics, right? Even if you carelessly lose 1 point of paper, it will have to be 99.
However, this Lu Zhou is not very worried, he has completely eaten the two courses of mathematical analysis and advanced algebra in the past two days. University tutors generally do not deliberately embarrass students, and the knowledge points examined are definitely in the textbooks.
The boiled duck won't run anyway, as for the proof of Zhou's conjecture...... Lu Zhou was going to wait until the summer vacation was over before taking it out. In the course of these two months, he will do everything he can to package himself as a true scholar and maximize the benefits he can get.
It is necessary to find more supervisors to communicate academic problems.
Mathematics LV1 is a must.
Staying in school during the summer vacation is also a must.
When the time comes, I have to call my father and mother, and the next time I go back, I may have to celebrate the New Year.
The matter of rewards came to an end, and another question popped up in Lu Zhou's heart.
Will the [drawings] obtained by the lottery be related to the [subject level]?
This question is critical.
Otherwise, why is it so coincidental that if you don't draw anything else, you draw a special "proof question answer"? And not the first-class "Space Battleship"?
This thought lingered as soon as it came to his head, and the more Lu Zhou thought about it, the more he felt that it was possible.
"The top priority is to raise the subject level, upgrade mathematics to LV1 as soon as possible, and unlock the upper limit of LV1 level in other subjects. In between, will the lottery chances be put up first? However, if the lottery is not used, the task list cannot be refreshed, and it is unrealistic to hoard the lottery opportunity......"
He also clearly remembers that after receiving the task reward, the task list turned gray. It wasn't until he ran out of two entries that the options on the task list reverted to Selectable.
We can only wait for a few more draws to know about this.
If the prizes are "proof answers" several times in a row, then there is no doubt that your conjecture is the correct solution.
Also, having said that, it seems that the new quest is ready to be claimed.
What could it be?
Thinking like this, Lu Zhou thought silently in his heart.
"Open the task list!"
A translucent holographic screen emerges in front of you.
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Mission 1: The Art of Fishing in Troubled Waters
Explanation: Fishing in troubled waters is also an art, you can make money while lying down, why work hard in the laboratory?
Requirements: Skillful use of language arts, and name on scientific research projects with millions of investment in scientific research funds. In line with the principle of not contributing to the effort, with the least energy consumption, the greatest merit. So, fish as much as you can, boy!
Reward: Gain discipline experience (the type of experience is determined by the type of project, and the value of experience is positively correlated with the value of scientific research project funding, and negatively correlated with the degree of contribution of the host to the project). One chance to draw (100% junk)
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Task 2: Practice Basic Skills (Physics)
Explanation: Rome was not built in a day, and the edifice of science was not built in a day.
Requirements: Solve 200 college physics exercises (the workbook is provided by the system, tailored for the host's knowledge reserve)
Reward: Question difficulty coefficient *2. Points 50. Props - Deep Learning Time (Category: Special.) Effect: The effective time is 24 hours, and the reading of books within the duration of the effect can enter the state of deep reading, and the knowledge points learned can be mastered permanently. )
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Task 3: Academics start with a thesis.
Explanation: A thesis is the basis of learning, a scholar who can only write a thesis may not be able to do a university question, but a scholar who cannot write a thesis must not be able to do a university question. Please don't talk to the system about this, the system is the truth! Now, publish a SCI paper and start your academic career!
Requirements: Publish a SCI paper.
Reward: Subject experience (determined by academic merit, with a minimum value of 100 experience). 200 points. One chance to draw (95% garbage, 5% samples).
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Seeing the last mission, Lu Zhou's expression was a little strange.
The experience awarded is determined by the academic merit of the paper?
If I send the argumentation process of Zhou's conjecture to a SCI journal, I don't know how much experience I can exchange.
When you think about it, it's a tempting idea......