Chapter 142 My report is over
Pick up the pen, put the pen down... the line-by-line calculations are already vivid on the paper.
There must be twin primes between the natural numbers p(n-1) and p(n).
The number of T sets corresponding to the twin prime numbers of the natural number interval [p(n-1), p(n)) is located in the following natural number interval:
[(p(n－1)－1)/6，(p(n)－1)/6)
There are altogether [p(n)-p(n-1)]/6 continuous natural numbers in the above natural number interval.We can use the sieve method to filter out the non-T episodes to obtain the T episodes.Among them, according to the principle of the aforementioned sieve method, the ratio of the number 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 she stared straight at Qin Luo with her beautiful eyes.
After thinking about it for a while, Feng Huadong shook his head: "I don't know. The twin prime number conjecture is a conjecture that has stumped the mathematics world for a century. It is very difficult!"
"But I believe in him. If he succeeds, it will be another great blessing for Huaxia."
Of course, Feng Huadong still didn't say a word. If Qin Luo fails, all his previous achievements will be reduced to a joke, and he will become the laughing stock of Birmingham and even the entire mathematics world.
And the jokes are going to last a long time.
It has been proved on the spot that this is a double-edged sword. If it succeeds, it will lead to success and fame, which has become a good story in the history of mathematics.
Failure is completely reduced to a joke.
But even so, he felt relieved for Qin Luo.
To be able to reprimand Fang Qiu in Birmingham, in front of academic giants like Deligne and Stanley, Qin Luo has already won.
……
5 minute, 10 minutes, half an hour...
When Qin Luo filled the tenth whiteboard, his writing movement finally slowed down.
At this moment, the whole place was silent.
No matter whether it is a group of academic experts or media reporters, they are all silent.
Tesya, 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: "Sieve out all the possibilities, then the remaining possibilities are the final answer."
Having said that, Qin Luo set his sights on the eleventh whiteboard.
He raised his hand again.
The black pen tip is in close contact with the whiteboard, like a warrior holding a dragon sword, slashing at a dying dragon.
这就意味着与[(p(n－1)－1)/6，(p(n)－1)/6)区间对应的自然数区间[p(n－1)，p(n))必有两对以上的孪生素数，也即：
There must be more than 2 pairs of twin primes in any pair of adjacent square intervals of prime numbers.
That is to say, our previous conjecture is established.
This means that the conjecture that the number of twin primes is infinite is true.
The conclusion is established!
Twin prime conjecture proved! "
"Crack!" The tip of the pen broke with a crisp sound.
This sound reaches the depths of people's hearts. Although its sound is small, it is deafening!
Downstairs, it was silent.
On the stage, each person writes a legend.
Qin Luo took a deep breath, and then let it out slowly. His beating heart announced to him. He turned around, raised his head and chest to the audience, and said, "We have reached a higher level. ladder."
"My report is over!"