Chapter 142： End of my report

Pick up the pen, drop the pen... the line-by-line calculations are already on the paper.

From the natural number p(n－1)² to p(n)² there must be twin primes.

The number of T sets corresponding to the twin primes of the natural number interval [p(n－1)², p(n)²) lies in the following natural number interval:

[(p(n－1)²－1)/6, (p(n)²－1)/6)

There are [p(n)²－p(n－1)²]/6 continuous natural numbers in the above natural number interval. We can use the sieve method to sieve the non-T set number to obtain the T set number. Among them, according to the principle of the aforementioned sieve method, the ratio of the number of T sets in the interval can be calculated at least:

∏(1－2/p(i))(3≤i≤n－1)

＝(1-2/5)(1-2/7)(1-2/11)……(1-2/p(n-1))

...

Thirty lines, sixty lines, ninety lines...

One, two, three...

"Teacher, do you think he can succeed?" In the corner, Lin Shanshan's pupils were full of brilliant light, and her beautiful eyes stared at Qin Luo directly.

After thinking about it for a while, Feng Huadong shook his head: "I don't know, after all, is the twin prime number conjecture a century-old conjecture in mathematics, it is difficult!"

"But I believe him. If he succeeds, it will be another great blessing for China."

Of course, Feng Huadong still has half a word. If Qin Luo fails, all his previous achievements will be reduced to jokes, and he will become the joke of Birmingham and the entire mathematics community.

And this joke will last a long time.

It was proved on the spot that this is a double-edged sword, and success will lead to fame. It has become a good story in the history of mathematics.

Failure is completely reduced to a joke.

But even so, he felt gratified for Qin Luo.

Being able to slap Fang Qiu at Birmingham, in front of academics like Deligne and Stanley, Qin Luo himself had already won.

...

Five minutes, ten minutes, half an hour...

When Qin Luo filled the tenth whiteboard, his writing movement finally slowed down.

At this moment, the audience was silent.

Both the academic circles and the media reporters were silent.

Tesya, who was sitting in the corner, was even more pale, looking at the figure on the stage, not knowing what she was thinking.

Qin Luo turned around, glanced at the crowd, and slowly said: "Sifting out all the possibilities, then the remaining possibilities are the final answer."

Having said that, Qin Luo turned his attention to the 11th white board.

He raised his hand again.

The black nib is in close contact with the whiteboard, like a warrior holding a dragon knife, slashing towards a dying dragon.

This means that the natural number interval corresponding to the interval [(p(n-1)²-1)/6, (p(n)²-1)/6) interval [p(n-1)², p(n) ²) There must be more than two pairs of twin primes, that is:

Any pair of adjacent prime number squared intervals must have more than two pairs of twin prime numbers.

That is, our previous conjecture is valid.

This also means that the conjecture that the number of twin primes is infinite is true.

The conclusion is established!

The twin prime conjecture is proved! "

"Plap!" The pen tip broke, and there was a clear sound.

This sound reaches the depths of people's hearts. Although it is small, it is deafening!

The audience was silent.

On stage, one person writes a legend.

Qin Luo took a deep breath, and then slowly spit it out. The beating heart announced her. He turned around and raised his head to face the audience in the audience, "We have reached a higher level. ladder."

"My report is over!"