No. 205 ghostly prime

205.

"Tut-tut, what a courageous statement. Xiao Shutong applauded, "It's just that before people brag, they have to weigh how many catties and taels they have." From what I've seen of you, there's no way you're going to solve this problem in 10 minutes. ”

Cheng Li didn't bother to talk nonsense with Xiao Shutong, and said directly: "Whether I can do it or not, I have to give it a try, please get out of the way, don't talk, I want to think quietly." ”

"Okay, okay, then I wish you success, hehe~"

After Xiao Shutong finished speaking, he disappeared in place with a "snap".

Then in this layer of space, it was quiet again, and Cheng Li looked at the question on the light sand and began to fall into deep thought.

The problems shown on the light sand are highly generalized in plain language.

In fact, the specific problem of the Riemann conjecture is very complex.

If there was one sentence to describe the problem raised by the Riemann conjecture, it would be.

All nontrivial zeros of the Riemann ΞΆ function are located on a straight line with Re(s)=1/2 on the complex plane. ”

This description must be incomprehensible to ordinary people, in fact, to put it simply, it is the problem of the light and sand display.

The Riemann conjecture is a conjecture that studies the "law of prime number distribution".

Prime numbers, also known as prime numbers.

Its place in mathematics is extremely special.

For mathematicians, prime numbers are the most special numbers.

It has a lot of special qualities that other numbers don't.

For example, junior high school math textbooks will teach that prime numbers are numbers that can only be divisible by 1 and themselves.

Like 2, 3, 7, 11, 13, 17, 19...... These numbers are all prime numbers.

For example, the fundamental theorem of arithmetic states that any natural number greater than 1 is either prime in itself or can be decomposed into the product of several prime numbers, and this decomposition is unique.

Therefore, the fundamental theorem of arithmetic is also known as the only decomposition theorem.

Because of this, prime numbers can also be seen as the basis for all other natural numbers.

This makes prime numbers have a unique significance in the history of mathematics, it is an important object in number theory and abstract algebra, mathematics has been greatly developed because of prime numbers, and any problems related to prime numbers will attract the attention of the mathematical community. In addition, large number decomposition is the foundation of modern cryptography and is therefore of great significance for practical applications.

But prime numbers are so important that people have not been able to understand their distribution.

Prime numbers are like a digital ghost, floating in a sea of numbers, making people unpredictable.

Like odd and even numbers, we can easily know what the Nth odd and even numbers are, as long as you have a primary school math level, you can list a formula to calculate exactly what the Nth odd and even numbers are.

But not prime numbers.

2、3、5、7、11、13、17、19、23、29...... p。

So what is p? The next prime number of 29 is 31, and the next digit is 37...... But what about the nth place? Can you know what the nth prime number is?

This is a problem that all mathematicians do not know.

If someone could come up with a formula to calculate exactly what the nth prime number is, he would be on a par with Gauss, Riemann, Euler, and other top mathematicians in history, and it would be one of the greatest achievements in the history of mathematics.

However, in the thousands of years since the birth of human civilization, in the long history of research in the history of mathematics, human beings have not been able to find the distribution law of prime numbers.

Even after a lot of research, we still know very little about the algebraic nature of prime numbers. The scientific community is very convinced that we lack the ability to understand the behavior of prime numbers.

Because prime numbers are so "elusive", in the end, almost all mathematicians have given up trying to accurately predict the position of prime numbers, and instead studied the distribution of prime numbers as a whole. This method of analysis is what Riemann is best at, and his Riemann hypothesis is the study of this.

Therefore, all the nontrivial zeros of the Riemann ΞΆ function are located on the line of Re(s)=1/2 on the complex plane. ”

The Riemann conjecture is a complex question, which can be understood by ordinary people's thinking, is to study the "distribution law of prime numbers." ”

It is precisely because prime numbers are so special that their distribution laws are completely incomprehensible at the current level of human mathematics.

That's why the Riemann conjecture becomes so difficult.

It's like a two-dimensional being that can't understand how to go around an infinitely extended straight line.

This is beyond the current level of human cognition and science.

At this time, in the arithmetic monument, the little arithmetic boy was hiding in a corner, watching Cheng Li meditating.

"Haha, this kid, I'm really going to try it. Unfortunately, that's completely impossible. ”

After speaking, Xiao Shutong casually pulled out a light curtain.

It shows every problem and problem solving process that Cheng Li has done in the past 2999 floors.

"According to his problem-solving process, I can reverse the arithmetic level of his original civilization.

"Judging by the arithmetic level of his civilization, their mathematics is at a critical bottleneck.

"And the key to this bottleneck is prime numbers. ”

Prime numbers are also prime numbers, and it seems that in the language system of Xiao Shutong, prime numbers are also called prime numbers.

"This program is civilization, and it should not be understood that prime numbers have an incomparably special and important position in mathematics. ”

Because of this, in any set of question banks, the question on the 3000th floor of the arithmetic tablet is about the law of the distribution of prime numbers. ”

"As long as a civilization can prove the distribution law of prime numbers, then the arithmetic level of its civilization will make a qualitative leap. ”

"In the process of studying the distribution law of prime numbers, they will be able to initially perceive the essence of 'number'. ”

"As long as the nature of 'number' is not perceived, then it is impossible to prove the distribution of prime numbers. ”

"This step is like a moat, whether it can cross the past is like a cloud and mud.

"This Cheng Li is obviously completely unaware of the nature of 'number' now, so it is impossible for him to answer this question at all. ”

Xiao Shutong was very determined.

"That's not good, I still plan to follow this kid to the outside world to see, and by the way, go to the plane where he used to be. If he fell on the 3000th floor like this, wouldn't I have to wait for hundreds, even thousands of years?"

"No, we have to think of a way. ”

The little arithmetic boy's eyes began to gurgle, and he looked cunning and clever.

"Tell him the answer directly, it's definitely not going to work. I am an instrument spirit of the Arithmetic Tablet, and I am still limited by many heavenly laws and cannot be overcome. Otherwise, I'll be captured and rebuilt to regenerate a new machine spirit. ”

"Quietly open the back door for him to cheat?

"I didn't change the question bank before, and keeping this random question bank is already walking a tightrope on the edge of fouling. ”

"And in the process of answering questions all the way, I kept opening up the reward information for passing each layer to the maximum. This allowed him to continue to be inspired, and he answered the 3000th floor very smoothly. ”

Now, it was clear that neither of those two tactics would be enough for him to answer the 3000th floor question. ”

"What else can I do to help him?"

The little arithmetic boy also fell into hard thought.