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Picking up the pen, putting down the pen... The line-by-line formulas are already on the paper.

There must be twin primes between the natural numbers p(n-1) and p(n).

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

[(p(n-1)-1)/6, (p(n)-1)/6)

The above-mentioned natural number interval has a total of [p(n)-p(n-1)]/6 consecutive natural numbers. We can use the sieve method to sieve the non-T sets from it to obtain the T sets. Among them, according to the principle of the aforementioned sieve method, the proportion of T sets that can be calculated in this interval is 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 shining brightly, and a pair of beautiful eyes stared straight at Qin Luo.

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

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

Of course, Feng Huadong still didn't say a word. If Qin Luo failed, all his previous achievements would be reduced to a joke, and he would become a joke in Birmingham, and even in the entire mathematics community.

And the joke will go on for a long time.

It has been proved on the spot that this is a double-edged sword, and success leads to success and becomes a story in the history of mathematics.

Failure is a complete joke.

But even so, he felt relieved for Qin Luo.

Being able to scold Fang Qiu in Birmingham, in front of academic giants like Deligne and Stanley, Qin Luo himself has already won.

...

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

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

At this moment, the whole place was silent.

Whether it is academia, or media reporters, they are all silent.

Tesia, who was sitting in the corner, was even more pale. Looking at the figure on the stage, she didn't know what she was thinking.

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

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

He raised his hand again.

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

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

Any pair of adjacent prime squares must have more than 2 pairs of twin primes.

That is, our previous conjecture is established.

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

Conclusion is established!

The twin prime conjecture is proven! "

"Crack!" The tip of the pen broke, making a crisp sound.

This sound goes straight to the heart of the heart. Although its sound is small, it is deafening!

Downstairs, it was silent.

On the stage, one person writes a single stroke, writing a legend.

Qin Luo took a deep breath, and then slowly exhaled it. The beating heart announced her. He turned around, raised his head and raised his chest to face the audience under the stage, "We have stepped up to a higher level. ladder."

"My report is over!"