Chapter 142: End of my report (1/2)
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))
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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.
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Five minutes, ten minutes, half an hour...