The Science Fiction World of Xueba

The reason why Pang Xuelin stopped suddenly was not without thought.

In fact, the idea of ​​the whole proof of the twin prime conjecture has already taken shape in his mind, and he only needs to derive it successfully.

The reason why he suddenly stopped now is that he found that the proof scheme he used seemed to prove not only the twin prime conjecture, but also the Polignac conjecture.

The twin prime number conjecture refers to the existence of an infinite number of prime numbers such that +2 is a prime number.

The Polignac conjecture is a generalization of the twin prime conjecture: for all natural numbers k, there are an infinite number of prime pairs (, + 2k).

When k = 1, Polignac's conjecture is equivalent to the twin prime conjecture.

As long as the Polignac conjecture is proved, then the twin prime conjecture is self-evident.

Pang Xuelin thought about it, returned to the fifth blackboard, erased all the derivations above, and wrote it again.

For a while, there was a lot of discussion among the audience.

"What's wrong with Professor Pang? Is there a problem with the derivation just now?"

"I don't know, maybe Professor Pang might have a new idea."

"I don't think Professor Pang is too ambitious. After all, for such a major proposition, the on-site derivation is a bit too hasty."

"Juvenile genius, it is normal to have such an impulse, but if you rush too hard, you will easily hit the wall."

"I don't think Professor Pang will take aim at all. With his ability, he proves that the twin prime conjecture should not be a problem."

...

Pang Xuelin was immersed in his thoughts, and he didn't pay any attention to the voice of the audience.

[Let x be the feature of cf, then x = (x), where x is the feature of complete f. If π produces a prime ideal of f, then let x () = x (π). In this way, hacker's l function can be defined by the following formula: l (s, x) = n (1-x () (n) -s) -1]

[Where s is a complex number, and of is written as an algebraic integer ring of f, then n is the order of the ring of. It can be proved that when res> 1, l (s, x) is an analytic function, l (s, x) can be extended to a semi-pure function, and there exists a function e (s, x) such that l (s, x) Satisfy the equation ...]

...

Time passes by every minute.

When Pang Xuelin wrote the seventh blackboard, Deligne's eyebrows suddenly frowned.

He turned his head and said to Peter Sanak next to him: "Professor Pang is not proving the twin prime conjecture, but he is proving the Polignac conjecture!"

Peter Sanek nodded thoughtfully: "This young man, what a surprise!"

Both the twin prime conjecture and the Polignac conjecture are well-known problems in the history of mathematics.

No one expected that Pang Xuelin would challenge this problem at this moment.

In fact, at this time not only Peter Sanak but also Pierre Deligne, other well-known scholars in the lecture hall also saw Pang Xuelin's ideas one after another.

For a while, everyone was excited and shocked.

"Unexpectedly, Professor Pang started to speculate on Polignac."

"Professor Pang paused for a while. Wasn't it a sudden inspiration during the derivation and found a breakthrough for Polignac's conjecture?"

"Probably, Professor Pang is getting more and more unexpected."

"I don't know if Professor Pang will prove it successfully."

"I hope so. At least now, I didn't see too many problems in the previous proof process."

...

In the next time, the discussions under the stage did not stop.

Many people even took out pen and paper on the spot to verify Pang Xuelin's certification process.

Three hours elapsed.

[Suppose r2 | r, when 0≤k

[To sum up: for all natural numbers k, there are an infinite number of prime pairs (, + 2k)]

Pang Xuelin looked at his achievements for nearly three hours, put down the chalk, shook his slightly sore wrist, walked to the microphone of the report desk, and smiled, "In 1849, Alfon de Polignac proposed a general Conjecture: For all natural numbers k, there are an infinite number of prime pairs (, + 2k). I think, today, the answer has come out. "

Quiet needles were heard in the auditorium.

Qi Xin was a little worried: "Sister Zhi, does this prove that the results are correct?"

Tomoko looked at the ten blackboards arranged in a semicircle on the stage with approbation, and smiled lightly: "Relax, there is no problem!"

On the other side, Peter Sanak looked at Pang Xuelin inconceivably, then turned to look at Deligne: "Professor Pang ... really proved it?"

Deligne nodded and said, "The evidence is coming!"

Poppy ...

After all, Deligne took the lead and paid tribute to Pang Xuelin with applause.

Then, applause swept the hall like tide.

The applause stopped until a few minutes later.

Pang Xuelin smiled: "Thank you, the next step is the questioning process. If you have any questions about this certification process, you can always ask questions."

As soon as this word came out, the audience was in a commotion.

Everyone was talking and talking.

The proof of mathematical conjecture has always been rigorous. Among the people present, no more than one-third can really keep up with Pang Xuelin's thinking and understand the entire proof process.

But even these people who did not understand could not guarantee that Pang Xuelin's proof process was foolproof.

So ~ www.readwn.com ~ soon people raised their hands to ask questions.

The field staff handed the microphone to the other party.

The question was about a young scholar who was tall, thin, and wearing glasses and looked in his early thirties.

"Professor Pang, I'm Andrew White, a postdoc in the Department of Mathematics at New York University. You said on Proposition 2110, how did you determine that x is a closed subset of gb?"

Pang Xuelin said with a smile: "For any s ∈ s, define the mapping s: gb → gbxgb. Obviously, s, as the product of the morphism of the mapping cluster gb, is also a morphism, and this is an identity morphism, and For the nature of the cluster, we can determine that for the closed subset of the angular element set d gbxgb, from this we can determine that x is a closed subset of gb! "

"Thank you Professor Pang! I have no problem."

Soon after Andrew White sat down, someone raised his hand to ask questions.

Next, it took Pang Xuelin almost an hour to answer most of the questions.

After repeatedly confirming that no one asked questions, the report moderator announced that the report was over.

At this time, Pang Xuelin proved that the news of Polignac's conjecture began to spread rapidly to the mathematical world centered on Princeton.

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