Super Scholar: Start with a low regulatory score!
Chapter 556 Krammel's guess, isn't it just a matter of hand?
Chapter 556 Krammel's guess, isn't it just a matter of hand?
In fact...
Even the staff can guess what Jiangnan is going to do, so some acquaintances can guess even more.
For example, Lu Chengzhou, Miles, Pierre and Ligumas, even Ke Niu Ni realized it.
"he……"
"Could it be that he..."
"Is he really going to do that again?"
"You know, this is the International Congress of Mathematicians! It's a one-hour report meeting, and there are thousands of people under the stage. Is he going to perform another mathematical miracle in public?"
"Then what do you want to prove this time?"
"Which conjecture? Which problem?"
"If it's a general conjecture, it's fine. It shouldn't be possible for him to prove the first three conjectures, right?"
"After all, he has already made six conjectures alone, and he just proved Hodge's conjecture the day before yesterday."
"Even though he is smart and evil, but he is only 19 years old, how can he have so much time to think?"
"..."
Lu Chengzhou, Miles, Pierre, Ligoumas and Kenny all looked at each other in blank dismay, including the white Will who was hiding in the crowd.
These people are most familiar with Jiangnan, so they naturally understand why Jiangnan is looking for a blackboard from the staff.
After all, this is not the first time.
It just happened the day before yesterday, and I still remember it vividly.
Oh!
correct!
Behind Pierre, there was some beautiful white chick, Emma Christine.
The woman couldn't help trembling even more. She didn't know whether it was fear, excitement, excitement or anticipation.
It's worth mentioning.
Popularized as early as Chapter 383.
Although there is no specific measurement standard between mathematical conjectures and conjectures, there are also grades.
This division is based on the comprehensive consideration of the difficulty of the conjecture itself, its academic value and other factors.
The first class is the seven major mathematical problems of the millennium, including the Riemann conjecture, the Hodge conjecture, the NP complete problem, the Poincaré conjecture, the Yang-Mills existence and quality gap, the Navel-Stoke equation and BSD conjecture.
Once any of the above seven conjectures are proven.
That can not only promote the development of mathematics, but also affect all fields of science.
For example, the Riemann hypothesis involves the establishment or failure of more than 1000 propositions, and then radiates other disciplines.
Although the Hodge conjecture does not involve so many propositions, its importance in algebraic geometry is self-evident.
The same goes for the other remaining conjectures.
As for the second-class ones, they are the three most difficult problems in modern mathematics in the world, Fermat's last theorem, Goldbach's theorem and the four-color theorem, which are also the three most famous problems.
Besides.
The Langlanz program and Hilbert's 23 questions are part of the problem, which can also be attributed to the second class.
The third category often refers to the twin prime conjecture, Abc conjecture, Collats conjecture, Zhou's conjecture, Artin conjecture, Krammel conjecture, Hardy-Littlewood second conjecture, six-space theory, and hailstone conjecture, etc.
All of the above are very worldwide problems.
prove either.
That is very close to the third prize in mathematics.
Even as long as there are no special changes, there is a high probability of winning the Wolf Prize in Mathematics and the Abel Prize.
As for the Fields Award, you must be under 40 years old. As long as you meet this condition, there is no big problem.
For example, Jiangnan won this award easily, and by the way, he won the Goss Award and the Chern Award together.
The division of the first three classes is relatively clear.
But when it comes to the fourth class, it is not so clear.
Basically, they are sub-problems of the previous third-class conjectures, or weak conjectures, or part of the analysis.
And when it comes to the fifth class, it is even more unclear, and almost all kinds of unpopular questions can be stuffed into it.
Mathematics has developed to the present, and there are so many conjectures put forward. All conjecture problems that are not enough to reach the fourth grade but have certain value can be classified into the fifth grade.
Take a simple example.
Some time ago, Yanbei Wei Shen, under the guidance of Jiangnan, took the lead in solving the Hamilton-Tian conjecture and the partial zero-order estimation conjecture through the convergence of the Rich flow.
The above two conjectures can be classified as the fifth class. Although they are not as good as the fourth class, they are still very important.
The conjectures in the future have little research value, and it would be a pity not to understand them, just like chicken ribs.
But that's not the point...
The point is...
After Jiangnan proved two first-class conjectures, one second-class conjecture, and three third-class conjectures.
Are you going to prove the seventh conjecture in public in the one-hour report of the International Congress of Mathematicians?
This……
Is it something that humans can do?
If what Jiangnan proves is a conventional conjecture of the fifth or sixth class, that's all, it's barely acceptable.
But if Jiangnan proves to be fourth-class and above, then their little hearts really can't stand the rhythm.
And the next second.
Many people present stared wide-eyed, opened their mouths wide, their jaws almost fell to the ground, feeling suffocated.
just because...
Jiangnan raised his pen to the top of the blackboard and wrote "Proof of Kramer's Conjecture" in nine large characters.
"what??"
"The Kramer conjecture?"
"He actually wants to prove the Kramer conjecture?"
"What the hell, is he going crazy?"
"Although this Krammel is not a first- and second-class conjecture, it is also a very famous third-class conjecture!"
"It's been more than 80 years since it was proposed, and I haven't found any idea to solve it, and he wants to..."
There were nearly [-] people present, and almost all of them were frightened by Jiangnan's crazy behavior.
Gee!
That's a third-class guess!
Jiangnan has already proved three, but now he has to prove the fourth. Is it true that the third-class conjecture is Chinese cabbage?
They all feel that either the world is crazy, or they are crazy, or Jiangnan is crazy.
We all know that cats and mice are natural enemies, but who has ever seen a mouse being a bridesmaid for a cat?
But today, maybe you can see it.
For example, Will, the white man who was sitting in a certain corner, immediately stood up, staring at the back of Jiangnan on the stage, his eyes were extremely hot, it was surprise, nervousness and anticipation.
Although White Will felt unbelievable that Jiangnan wanted to prove Seventh Avenue's conjecture in public.
But from a mathematician's point of view, how much he hopes that Jiangnan can create miracles again.
Can Jiangnan create miracles?
The answer is naturally...
can!
And it must be able to!
Isn't it just a little Krammel's conjecture, and it won't be a matter of minutes to solve it?
Maybe there are many people who are very unfamiliar with this conjecture, after all, it has not been mentioned many times before.
Some even said that writing in this way is very abrupt and blunt, and it feels like it is for the sake of acting forcefully.
After all, Jiangnan has never studied this conjecture before, so why is he suddenly going to prove it in public at the conference?
Actually...
This is really not pretending for the sake of pretending.
And it's really not too abrupt.
But it was foreshadowed earlier.
Also in Chapter 383, it was said that the twin prime number conjecture and the Mersenne prime number conjecture, the ABC conjecture, the Goldbach conjecture, and the Riemann conjecture are also known as the five prime conjectures.
Among them, Zhou's guess is a guess for the distribution of Mersenne prime numbers, which can be equated.
And what is the Krammel conjecture?
Everyone must have heard of this, right? ? ?
It was proposed in 1937 by the mathematician Harald Krammel of the Watch Kingdom.
"This conjecture says: limsup(n to ∞){p(n+1)-pn}/(lnpn)^2=1.
Here pn represents the nth prime number. "
Everyone read that right.
The conjecture is as simple as that.
It is nothing more than such a small formula.
If you still don't understand, then capture a key point, this conjecture, is for prime numbers.
And the prime numbers...
Isn't that what Jiangnan is good at?
for others.
Krammel's conjecture may be difficult, and it is not an exaggeration to describe it as difficult to prove it.
Because as early as Kramer proposed, he wanted to use the Riemann hypothesis to prove the conjecture.
But at that time the Riemann Hypothesis had not yet been proved.
Therefore, it can only be used as a joke to prove the Krammel conjecture, without any basis, and finally nothing will happen.
But now?
The Riemann Hypothesis has been proven by Jiangnan!
In addition, Goldbach, Twin Prime, Zhou Guess and ABC are all conjectures on prime numbers.
Gee!
After solving several big conjectures, isn't it just a matter of solving the Krammel conjecture?
(End of this chapter)
In fact...
Even the staff can guess what Jiangnan is going to do, so some acquaintances can guess even more.
For example, Lu Chengzhou, Miles, Pierre and Ligumas, even Ke Niu Ni realized it.
"he……"
"Could it be that he..."
"Is he really going to do that again?"
"You know, this is the International Congress of Mathematicians! It's a one-hour report meeting, and there are thousands of people under the stage. Is he going to perform another mathematical miracle in public?"
"Then what do you want to prove this time?"
"Which conjecture? Which problem?"
"If it's a general conjecture, it's fine. It shouldn't be possible for him to prove the first three conjectures, right?"
"After all, he has already made six conjectures alone, and he just proved Hodge's conjecture the day before yesterday."
"Even though he is smart and evil, but he is only 19 years old, how can he have so much time to think?"
"..."
Lu Chengzhou, Miles, Pierre, Ligoumas and Kenny all looked at each other in blank dismay, including the white Will who was hiding in the crowd.
These people are most familiar with Jiangnan, so they naturally understand why Jiangnan is looking for a blackboard from the staff.
After all, this is not the first time.
It just happened the day before yesterday, and I still remember it vividly.
Oh!
correct!
Behind Pierre, there was some beautiful white chick, Emma Christine.
The woman couldn't help trembling even more. She didn't know whether it was fear, excitement, excitement or anticipation.
It's worth mentioning.
Popularized as early as Chapter 383.
Although there is no specific measurement standard between mathematical conjectures and conjectures, there are also grades.
This division is based on the comprehensive consideration of the difficulty of the conjecture itself, its academic value and other factors.
The first class is the seven major mathematical problems of the millennium, including the Riemann conjecture, the Hodge conjecture, the NP complete problem, the Poincaré conjecture, the Yang-Mills existence and quality gap, the Navel-Stoke equation and BSD conjecture.
Once any of the above seven conjectures are proven.
That can not only promote the development of mathematics, but also affect all fields of science.
For example, the Riemann hypothesis involves the establishment or failure of more than 1000 propositions, and then radiates other disciplines.
Although the Hodge conjecture does not involve so many propositions, its importance in algebraic geometry is self-evident.
The same goes for the other remaining conjectures.
As for the second-class ones, they are the three most difficult problems in modern mathematics in the world, Fermat's last theorem, Goldbach's theorem and the four-color theorem, which are also the three most famous problems.
Besides.
The Langlanz program and Hilbert's 23 questions are part of the problem, which can also be attributed to the second class.
The third category often refers to the twin prime conjecture, Abc conjecture, Collats conjecture, Zhou's conjecture, Artin conjecture, Krammel conjecture, Hardy-Littlewood second conjecture, six-space theory, and hailstone conjecture, etc.
All of the above are very worldwide problems.
prove either.
That is very close to the third prize in mathematics.
Even as long as there are no special changes, there is a high probability of winning the Wolf Prize in Mathematics and the Abel Prize.
As for the Fields Award, you must be under 40 years old. As long as you meet this condition, there is no big problem.
For example, Jiangnan won this award easily, and by the way, he won the Goss Award and the Chern Award together.
The division of the first three classes is relatively clear.
But when it comes to the fourth class, it is not so clear.
Basically, they are sub-problems of the previous third-class conjectures, or weak conjectures, or part of the analysis.
And when it comes to the fifth class, it is even more unclear, and almost all kinds of unpopular questions can be stuffed into it.
Mathematics has developed to the present, and there are so many conjectures put forward. All conjecture problems that are not enough to reach the fourth grade but have certain value can be classified into the fifth grade.
Take a simple example.
Some time ago, Yanbei Wei Shen, under the guidance of Jiangnan, took the lead in solving the Hamilton-Tian conjecture and the partial zero-order estimation conjecture through the convergence of the Rich flow.
The above two conjectures can be classified as the fifth class. Although they are not as good as the fourth class, they are still very important.
The conjectures in the future have little research value, and it would be a pity not to understand them, just like chicken ribs.
But that's not the point...
The point is...
After Jiangnan proved two first-class conjectures, one second-class conjecture, and three third-class conjectures.
Are you going to prove the seventh conjecture in public in the one-hour report of the International Congress of Mathematicians?
This……
Is it something that humans can do?
If what Jiangnan proves is a conventional conjecture of the fifth or sixth class, that's all, it's barely acceptable.
But if Jiangnan proves to be fourth-class and above, then their little hearts really can't stand the rhythm.
And the next second.
Many people present stared wide-eyed, opened their mouths wide, their jaws almost fell to the ground, feeling suffocated.
just because...
Jiangnan raised his pen to the top of the blackboard and wrote "Proof of Kramer's Conjecture" in nine large characters.
"what??"
"The Kramer conjecture?"
"He actually wants to prove the Kramer conjecture?"
"What the hell, is he going crazy?"
"Although this Krammel is not a first- and second-class conjecture, it is also a very famous third-class conjecture!"
"It's been more than 80 years since it was proposed, and I haven't found any idea to solve it, and he wants to..."
There were nearly [-] people present, and almost all of them were frightened by Jiangnan's crazy behavior.
Gee!
That's a third-class guess!
Jiangnan has already proved three, but now he has to prove the fourth. Is it true that the third-class conjecture is Chinese cabbage?
They all feel that either the world is crazy, or they are crazy, or Jiangnan is crazy.
We all know that cats and mice are natural enemies, but who has ever seen a mouse being a bridesmaid for a cat?
But today, maybe you can see it.
For example, Will, the white man who was sitting in a certain corner, immediately stood up, staring at the back of Jiangnan on the stage, his eyes were extremely hot, it was surprise, nervousness and anticipation.
Although White Will felt unbelievable that Jiangnan wanted to prove Seventh Avenue's conjecture in public.
But from a mathematician's point of view, how much he hopes that Jiangnan can create miracles again.
Can Jiangnan create miracles?
The answer is naturally...
can!
And it must be able to!
Isn't it just a little Krammel's conjecture, and it won't be a matter of minutes to solve it?
Maybe there are many people who are very unfamiliar with this conjecture, after all, it has not been mentioned many times before.
Some even said that writing in this way is very abrupt and blunt, and it feels like it is for the sake of acting forcefully.
After all, Jiangnan has never studied this conjecture before, so why is he suddenly going to prove it in public at the conference?
Actually...
This is really not pretending for the sake of pretending.
And it's really not too abrupt.
But it was foreshadowed earlier.
Also in Chapter 383, it was said that the twin prime number conjecture and the Mersenne prime number conjecture, the ABC conjecture, the Goldbach conjecture, and the Riemann conjecture are also known as the five prime conjectures.
Among them, Zhou's guess is a guess for the distribution of Mersenne prime numbers, which can be equated.
And what is the Krammel conjecture?
Everyone must have heard of this, right? ? ?
It was proposed in 1937 by the mathematician Harald Krammel of the Watch Kingdom.
"This conjecture says: limsup(n to ∞){p(n+1)-pn}/(lnpn)^2=1.
Here pn represents the nth prime number. "
Everyone read that right.
The conjecture is as simple as that.
It is nothing more than such a small formula.
If you still don't understand, then capture a key point, this conjecture, is for prime numbers.
And the prime numbers...
Isn't that what Jiangnan is good at?
for others.
Krammel's conjecture may be difficult, and it is not an exaggeration to describe it as difficult to prove it.
Because as early as Kramer proposed, he wanted to use the Riemann hypothesis to prove the conjecture.
But at that time the Riemann Hypothesis had not yet been proved.
Therefore, it can only be used as a joke to prove the Krammel conjecture, without any basis, and finally nothing will happen.
But now?
The Riemann Hypothesis has been proven by Jiangnan!
In addition, Goldbach, Twin Prime, Zhou Guess and ABC are all conjectures on prime numbers.
Gee!
After solving several big conjectures, isn't it just a matter of solving the Krammel conjecture?
(End of this chapter)
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