Chapter 286

∑(m1^2+m2^2+m3^2≤x)1=4π/3*x^1.5+O(x^2/3)！

This formula is none other than the prime distribution formula for the whole point problem in the sphere.

Many mathematicians who recognized this formula opened their mouths wide, and the whole person fell into a great shock.

"Ball...... The whole point problem formula in the ball!" A mathematician swallowed hard, his eyes full of shock.

That's right, it's the prime distribution formula for the whole point problem in the sphere. But...... Can the formula for the whole point problem in the sphere be applied to the study of the conjecture of equal difference primes?" muttered another mathematician.

"I don't know," the mathematician next to him shook his head and looked up at Gu Lu with a confident face on the lecture table, "However, seeing Gu Lu so confident, he should be very sure." ”

This mathematician is right, about the conjecture of equal prime numbers, Gu Lu is indeed very sure.

Otherwise, he wouldn't be standing on the stage now.

On Konstantin's side, after seeing Gu Lu sacrifice the big killing weapon of 'equal difference prime conjecture', the whole person seemed to be instantly evacuated, and he slumped on the chair.

Konstantin saw it better than anyone.

After Gu Lu listed the formula for the whole point problem in the ball, Konstantin instantly understood what Gu Lu's subsequent derivation steps would be.

And his solid knowledge and understanding of the conjecture of equal primes made it clear to Konstantin that Gu Lu's choice was the right path.

This means that he has no chance.

Konstantin originally wanted to spend about three months to half a year after the International Congress of Mathematicians to complete the proof of the other half of the conjecture of equal difference primes.

But Konstantin would not have expected that Gu Lu would cut him off halfway in this way.

Fortunately, Konstantin didn't have to wait until the International Congress of Mathematicians was over.

Because during the conference, the other half of the conjecture of equal difference prime was proved.

Depressed, angry, regretful......

A variety of emotions flooded Konstantin's mind.

............

on the lecture stand.

Gu Lu just spent ten minutes to explain almost one-third of the proof process.

Gu Lu picked up the mineral water on the table, unscrewed it and took a sip, moistened his throat, and then continued to report.

Three lemmas, plus a formula for the distribution of prime numbers for the whole point problem in the sphere.

Gu Lu uses these four formulas, combined with the two theorems derived earlier, to carry out the next derivation and proof.

Lines of formulas appear on the board.

Gu Lu has a clear mind and rationally derives step-by-step logical formulas according to his memory.

Mathematics is a subject that tests a person's logical deduction ability.

Among them, number theory is particularly so.

Unlike other branches of mathematics, number theory doesn't have a lot of bells and whistles.

The essence of number theory is the study of the properties of integers, or, more accurately, the properties of prime numbers.

Many people can perceive that of all the branches of mathematics, the field of number theory is the easiest to understand.

For example, Goldbach's conjecture, the equidifference prime conjecture, and the twin prime conjecture can be easily understood by an ordinary high school student.

For example, the Poincaré conjecture, the BAB conjecture, and the Hodge conjecture in the field of geometry, let alone high school students, may not even be able to understand the content of some doctoral students.

But again, number theory is simple to understand, but if it is to be applied, it is enough to describe it as difficult.

Because it involves a strong logical deduction.

And it needs to be extremely rigorous, because one wrong step will make a wrong step.

All it takes is a tiny process to get wrong, such as miscalculating a formula, missing a letter, and these are quite fatal.

Simply, Gu Lu has been deliberately improving his logical deduction ability.

Now, in the display of the system panel, Gu Lu's reasoning power has already entered the 400 mark, reaching the value of 415.

The fourth-level reasoning power allowed Gu Lu to complete the derivation in more than two days without making any mistakes in the face of world-class conjectures such as the equal difference prime conjecture.

The conjecture of equal difference prime numbers is a geometric conjecture, and Gu Lu may not be able to prove it in less than three days.

Because geometric conjecture tests a certain spatial force, and the attribute of the spatial force is not very high.

However, number theory is different, and number theory conjecture is a pure test of reasoning.

In addition, Gu Lu was in a state of inspiration.

With the blessing of the two, Gu Lu was able to accomplish this feat in less than three days.

Gu Lu's elaboration continues.

Now Gu Lu has probably finished half of the proof process.

And the whole report also ushered in the most exciting place.

The mathematicians in the audience listened intently, occasionally bowing their heads to write down key information in their notebooks.

This time, due to the abundant time, Gu Lu did not deliberately rush the schedule, but explained the entire proof process in detail.

Although there are still many mathematicians' thinking that can't keep up with Gu Lu's speed of speaking.

But the group of nearly 100 top mathematicians in the field of analytic number theory can barely keep up.

There will not be a situation like yesterday when everyone was stunned after Gu Lu finished speaking.

............

Time is ticking by.

The analytic number theorists who belonged to this venue listened attentively, and some of them nodded frequently while listening.

And the mathematicians from the rest of the directions, who came to join in the fun, are also trying to understand.

After all, if the conjecture of equal difference prime numbers is really proved under Gu Lu, it will be a very important event for both the number theory community and the entire mathematical community.

The kind that is destined to be recorded in the annals of history!

And as witnesses of such a big event, of course, they should cherish it.

Maybe in the future, this will become their bragging rights.

A world-class conjecture is about to be proven before their eyes.

Just thinking about it, many mathematicians get excited.

It is worth mentioning that after Gu Lu's report began, many mathematicians spread the news.

Therefore, in the process of Gu Lu's presentation, mathematicians continued to pour into this conference room.

As a result, this conference room, which can accommodate more than 500 people, has nearly 800 mathematicians in it.

Not only were the seats filled, but even the aisles were filled.

Nearly eight hundred pairs of eyes stared at Gu Lu in unison.

However, Gu Lu did not have the slightest sense of nervousness.

“...... Using φ(y)=1/2πi∫(2+i∞,2-i∞)ydw/w(1+w/(logx)^l)^[logx]+1, we can get an equal difference series, and then ......"

The time came to the twenty-fifth minute, and Gu Lu's side also reached the final stage of proof.

I saw Gu Lu take a deep breath and write the last line of formula on the blackboard.

“...... It follows that when there is K, so that K is equal to any integer value, there is a series of equal differences composed of K primes. ”

"That is, there is a sequence of primes of any length"

"The conjecture of equal difference primes holds!"

Done!