"Okay, it's not too early, if it's okay, you can go back and rest."

Pang Xuelin glanced at Zhizi and said lightly.

A crying expression appeared on Tomoko's face: "Professor Pang, won't you even give me the opportunity to warm the bed?" ”

While speaking, Zhizi slowly approached Pang Xuelin's side!

"Stop!"

Pang Xuelin couldn't help but shudder, and said, "Okay, Zhizi, don't blame me for taking you back into the system space if you make such a fuss again!" ”

Zhizi glanced at Pang Xuelin and said, "Professor Pang, don't you allow me to find you something?" ”

Pang Xuelin said: "It's so late, what else do you have to do?" ”

Tomoko grinned and said, "Didn't you say let me prove the hail conjecture?" I've got it! ”

With that, Tomoko pulled out a roll of manuscript paper from her snow-white neckline.

Pang Xuelin was slightly stunned, and subconsciously took the manuscript paper from Zhizi's hand.

Pang Xuelin flipped through the two pages, and when he raised his eyes, he saw that Zhizi was still standing in place, looking at himself with a smile, and said, "You still don't leave?" ”

"I want to wait until you're done before leaving!"

"I can't finish reading it tonight, I'll give you an answer in two days."

"Hmph, let's go! A man who doesn't understand the amorous feelings! ”

Tomoko pouted, stamped her feet, and walked to the window with her skirt.

She opened the window, waved at Pang Xuelin, and jumped out directly from the ten-story building.

Pang Xuelin was startled, and hurriedly came to the window, and saw a black shadow like a gecko, sliding down the outer wall of the hotel, and quickly disappeared into the corner.

Pang Xuelin breathed a sigh of relief, then returned to the desk, turned the manuscript paper to the first page again, and read it.

Minutes and seconds passed.

Tomoko's paper proving the hail conjecture is only seven or eight pages long.

But these seven or eight pages, Pang Xuelin read them for more than two hours.

It wasn't until nearly 0:00 in the evening that Pang Xuelin came back to his senses from thinking.

"I didn't expect that the hail conjecture really made Tomoko prove it, and it was so ingenious."

"And in the process of proofing, the shadow of Ponzi geometry theory can be faintly seen, but the whole theoretical framework seems to be more delicate and detailed."

Pang Xuelin buried his head in contemplation.

I don't know if the proof process of this conjecture is already in the Zhizi database, or if she came up with it herself.

If it was already in the database, it would be a bit scary, if she came up with it herself.

If an artificial intelligence has the ability to evolve itself in the field of technology, it will be almost no different from normal life, and it can even develop civilization independently.

"System, does Tomoko have the ability to learn and evolve on its own?"

Pang Xuelin said in his heart.

"Not at the moment!"

"Not yet? What do you mean? Pang Xuelin was slightly stunned: "Then when will she have it?" ”

"This is something that the host will need to explore slowly in the future."

“……”

Pang Xuelin was a little speechless.

The system is always like this, when it comes to sensitive issues, it is said that it is half hidden and half is hidden, and sometimes it is simply pretended to be dead.

However, the hail conjecture is not something that Zhizi can solve on her own initiative, otherwise Pang Xuelin suspects that one day, she may really become a super intelligent life.

Pang Xuelin shook his head and drove these messy thoughts out of his brain.

When he read Tomoko's paper just now, he always felt as if he had overlooked something, but he couldn't think of what it was.

He was going to go through the paper again to see if there were any omissions

Time passed imperceptibly, and half an hour later, Pang Xuelin turned the paper to the fourth page.

[Lemma 5: There is a natural number q, if q≡b1(modp1), q≡b2(modp2), q≡b3(modp3)...... q≡bn(modpn)，p1，p2，p3…… are all prime numbers, according to the remainder theorem, for a given b1, b2...... bk,q has the only one less than p1p2...... Pk's positive integer solution. 】

……

Pang Xuelin frowned, this lemma gave him an inexplicable sense of familiarity.

"Prime numbers, Etale primitive groups, dual abelian generalizations, congruent remainders, cohomology on Galois, toric adele dots......"

All kinds of concepts kept flashing through Pang Xuelin's mind.

Pang Xuelin stood up and walked back and forth in the room to think.

From time to time, he would return to his desk and pick up the manuscript paper to write down the calculations.

In Ponzi geometry, there are four parts to the theory of virtual quadratic expansion.

[1. Define the modulo function of the congruent subgroup of SL(2) on the upper semi-complex plane.] Second, the virtual quadratic expansion F/Q. Third, the fixed point of the subgroup GL(2,Q)+ in the upper semi-complex plane determined by the ideal of F. 4. Elliptic curves and their automorphic rings and N-order points......]

What if this theory was extended to a higher dimension?

[1. Defined as an automorphic function on the bounded symmetric domain H with respect to the arithmetic subgroup of the algebraic group G. Second, the algebraic number field. 3. The fixed point of the discrete subgroup of G(Q) in H. Fourth, the PEL structure, Hodge structure, and Motif structure of the exchange cluster]

In this way, the nature of the Shimura cluster can be determined through the basic role of the Galois group!

Pang Xuelin's eyes lit up: "I see! ”

He's found a way to prove the twin prime conjecture!

Pang Xuelin thought about it, and first sent a message to Deligne on his mobile phone, telling the other party that he suddenly had an inspiration and was not going to visit the Institute for Advanced Study in Princeton on Sunday.

Then, he left another message for Tomoko, telling her not to bother her.

Then, Pang Xuelin excitedly returned to his desk, found the manuscript paper, and began to calculate quickly.

After coming out of the Wandering Earth World, whether it was the Country Teacher World, the Whale Song World, or the Dark Forest World, excluding the time he hibernated, adding up to nearly thirty years, he hadn't felt so excited for a long time.

Time passed minute by minute, and before I knew it, it was already dawning outside.

The manuscript paper on the desk was already piled up in a thick pile.

The sun gradually rises in the middle, and the sunlight shines through the curtains on the desk, and the light and shadow are intertwined.

Pang Xuelin didn't notice it.

It wasn't until the sun was setting in the west that Pang Xuelin stood up tiredly, proving that nearly two-thirds of the process had been written, but Pang Xuelin felt that his brain was exhausted to the extreme.

"It's a pity!"

Pang Xuelin was a little regretful, he originally wanted to prove the twin prime conjecture before the report meeting, but no matter the time or energy, he couldn't catch up.

"If you really can't do it, you can only wait for the on-site deduction at tomorrow's report meeting!"

Pang Xuelin thought about it, put on a coat, and prepared to go out for a meal, and then go back to the hotel to sleep, and take care of his spirits!