Chapter 270

Time goes back to before Constantine's report began.

Gu Lu took out a notebook from his briefcase.

Above the notebook is what Gu Lu recorded during the previous one-hour meeting report.

It includes cutting-edge theories expounded by invited speakers, as well as some of Gu Lu’s own inspirations and ideas.

Gu Lu opened the thick notebook, took out a pen from his pocket, crossed his fingers, and waited for the report to begin.

To be honest, when Gu Lu saw that the topic of Constantine's report was about the arithmetic prime number conjecture, he looked as surprised as the other mathematicians attending the meeting.

But if you think about it carefully, there is nothing strange about it.

In terms of difficulty and status, the arithmetic prime number conjecture is not top-notch in the field of number theory.

The status of the arithmetic prime number conjecture in the field of number theory is almost the same as the status of the Bab conjecture solved by Gu Lu some time ago in the field of geometry.

For a genius-level mathematician like Constantine, although proving conjectures cannot be said to be commonplace, it is not shocking enough.

What's more, what Constantine proved was not a complete version of the arithmetic prime conjecture.

It is just an arithmetic prime conjecture when k is equal to an even number.

Although this is surprising, it is still within the range that everyone can understand.

When Constantine began to report, Gu Lu was also recording carefully in the audience.

In the field of mathematics, Gu Lu mainly focuses on the two directions of geometry and number theory.

Gu Lu was naturally no stranger to the arithmetic prime number conjecture.

In the past, Gu Lu also conducted research on the arithmetic prime number conjecture for a period of time.

But we still couldn't get to the point, and after a period of no progress, we gave up.

And now, the way Constantine described on stage to overcome the arithmetic prime conjecture is indeed different from some existing theories in the world.

To put it simply, it feels refreshing.

The proof method explained by Constantine feels a bit different.

The method of proof is proof by contradiction.

But there are still some differences from the general method of proof by contradiction.

The arithmetic prime conjecture asks whether there is an arithmetic sequence of prime numbers of any length.

Constantine postulated its existence.

Then, the number of prime numbers contained in this sequence is k.

Suppose again that the term of this sequence composed of k prime numbers is n, and the common difference is d.

Next…

In short, after going round and round and deriving through constant use of formulas, Constantine came to a conclusion.

When k is an even number, a contradiction occurs.

Therefore, when k is an even number, the arithmetic prime conjecture holds.

Here is Constantine's complete proof process.

However, when k is an odd number, Constantine has not been able to find a contradiction and prove that the arithmetic prime conjecture is true.

…………

Offstage.

The notebook in front of Gu Lu was filled with dense formulas and symbols.

Gu Lu's eyes slowly scanned the circled keywords on the notebook, and his eyes became brighter and brighter.

‘Dirich1et prime number theorem’, ‘Euclidean theorem’, ‘prime number distribution formula’, ‘bombieri-vinogradov theorem’…

Several keywords are concatenated together.

In front of Gu Lu, a new door is opening!

The corners of Gu Lu's mouth raised slightly.

Inspiration comes quietly!

Gu Lu raised his pen and wrote four big characters in the blank space of his notebook - Chen's theorem!

At this time, Constantine, who was standing on the stage, had finished his explanation.

"As for whether the arithmetic prime conjecture is true when k is an odd number, I haven't proven it yet. But don't worry, believe me, that day won't be long!"

Constantine said this with great certainty.

This sentence is enough to show how conceited Constantine was.

However, as a new Philippine Prize winner, he has the confidence to be conceited.

Everyone also had no doubt that he was there.

In their view, since Constantine has completed half of the proof of the arithmetic prime conjecture, it is only a matter of time before he completes the remaining half.

Half a year, or three months? It might even be shorter.

In any case, everyone has already guessed that the arithmetic prime number conjecture is already in Constantine's pocket.

Constantine is a Philippine Prize winner.

Under such circumstances, no one would be unwise enough to have a public fight with Constantine.

Constantine glanced flatly at the audience, his expression still cold.

"Let's go to the question and answer session. If you have any questions, you can raise your hands to ask."

After Gu Lu heard this, he quickly raised his hand.

There is a question that Gu Lu is very curious about. He needs to ask this Constantine.

Simon, who was a distance away, turned to look at Gu Lu in surprise.

Gu Lu raised his hand very high, but Constantine did not lift the Gu Lu sign.

Instead, he called up a Swedish mathematician to ask questions.

Second place, third place...

Constantine answered questions from five mathematicians in succession.

At this time, there was only the last minute left before the one-hour report ended.

"We're running out of time, here's the last question."

Constantine searched around with his eyes, and then his eyes fell on a very handsome young man with his hands raised in the fourth row of the conference room.

"There are still such handsome people in our mathematics community."

Constantine muttered something in a low voice, then pointed at Gu Lu, "Just this gentleman."

The microphone was passed to Gu Lu's hands.

The camera in the conference room was focused on Gu Lu.

So, when Gu Lu's handsome appearance appeared on the big screen, there were bursts of exclamations at the scene.

Although Gu Lu is now well-known in the mathematics community.

But only a few people have seen Gu Lu's appearance.

Therefore, when Gu Lu's appearance was projected on the big screen, many mathematicians thought that Gu Lu was a star recruited by the Chinese organizers.

It’s not that everyone doesn’t believe that Gu Lu is a mathematician.

But Gu Lu's appearance is simply more than one level higher than the average appearance in the mathematics community.

Later, after doing some popular science among colleagues who had seen Gu Lu's appearance, it became clear to everyone that this overly handsome young man was actually the Chinese mathematician who was in the limelight recently - Gu Lu.

Seeing that everyone in the audience was talking and the scene was noisy, Constantine looked a little ugly.

At the same time, Constantine felt a little regretful.

I was really arrogant just now. Why did I wake him up when I had nothing to do?

Fortunately, now, all my limelight has been stolen by this Chinese mathematician named Gu Lu.

He is the protagonist, right?

Constantine glanced at Gu Lu, who was holding the phone and looking at him with a smile.

"What's your problem?"

Constantine was very unhappy now, so his tone could not be said to be very good.

Gu Lu spoke softly, "I would like to ask Professor Constantine if you have tried using Chen's theorem when overcoming the arithmetic prime conjecture."

"Chen's theorem?" Constantine frowned subconsciously.
Chapter completed!