"It's not the one that was tested in the afternoon, it took more than five hours!"

"This probability is too small, only 2%, and it is normal if it is not a Mersenne prime."

"This is already the most probable of the remaining numbers."

"I feel like you're thinking a little too much. It's not normal, okay! ”

Wang Hao is also in the computer laboratory, he is summarizing the content about Mersenne primes, occasionally taking a break to take a walk, hearing the discussion in the central laboratory, he always can't help but pout his lips vigorously.

Chen Qinghua came out and saw Wang Hao, and immediately asked anxiously, "Wang Hao, tell me, which number is in it, which is most likely to be a Mersen prime?" Let's start by verifying the most likely numbers. ”

"You can rest assured, the verification will definitely be your achievement, and the login is your account, and we can't grab the results, just hang a computer lab verification name."

"This ......"

Wang Hao grinned vigorously and said, "Dean Chen, you also attach too much importance to it, right?" I feel that finding the Mason prime is a casual thing, and it is enough to use two servers to do the detection, and if you can find it, you can find it, and if you can't find it, forget it......"

"Forget it, this is an opportunity." Chen Qinghua said very seriously, "The School of Computer Science of our university has been established for a short time, and the subject rating still needs more support from results. If you go to the province and get an invention award. ”

"Don't talk about rewards or not, think about it, if you can find a Mason prime, then the whole country will know about our computer lab."

"After the fame is out, the source of students recruited in the future will be better......"

Wang Hao had to admit that what Chen Qinghua said was reasonable, and from the perspective of a dean who hopes to develop the college, it must be a very important thing to start the reputation of the department's laboratory.

However, for academic research, he has verified a Mersenne prime, which means that there is no problem with his research, and it is not of much significance to continue.

"Okay."

Wang Hao agreed with Chen Qinghua's statement, he said, "In fact, there is no good way to verify, and now it is to start with a high probability of verification." ”

"But I'm working on this, and I'll see if I can refine the analysis program in a few days?"

"Can it continue to be improved?"

Chen Qinghua was stunned when he heard this, pulled Wang Hao into the corner and asked carefully, "Wang Hao, tell me, do you really find the law of Mersenne primes, if you are someone else, I don't believe it at all, if it were you, it would still be possible." ”

Wang Hao shook his head, "Your expectations for me are too high. I feel that there is no pattern to the Mersenne prime, just a little bit of correlation. ”

"That's amazing, too!"

Chen Qinghua took a deep breath, "That's a Mason prime!" ”

……

The work in the computer lab has been hectic and hectic.

It was big news that Chinese scholars had found a new Mersenne prime, and a reporter from the provincial television station soon went over to do an interview.

The computer lab came forward to be interviewed, but the reporter mainly wanted to interview Wang Hao, who found the Mason prime.

Wang Hao refused.

The reason for his refusal made the reporter scratch his head, "After a while, let's interview together." ”

“？？”

Wang Hao didn't explain too much, he felt that finding a Mersen prime, there was nothing worth interviewing, and it was impossible to face the camera and reveal his research on Mersen primes in advance.

What if there is a problem with the research?

This is not 100% guaranteed, and if you find a Mersenne prime by luck, there is no need to be interviewed.

That's just luck.

It's like winning the lottery, what's the best thing to be interviewed, can you still talk about the secret of buying lottery tickets?

Wang Hao continued to do his own research, and he was summarizing the relationship between Mersenne primes and the corresponding exponent p, as well as the laws of the occurrence of known Mersenne primes.

For the law of Mersenne primes, there is a very famous conjecture called the 'Zhou's conjecture', which has a column interval setting that describes the Mersenne prime, which can be understood as how many Mersenne primes there are in a certain interval.

The expression of Zhou's conjecture looks simple, but because it involves exponential numerical improvement, it is very difficult to crack the conjecture, and it is impossible to prove it.

What Wang Hao did was to build two function expressions, one of which was used to describe the exponent p, and the other was used to make a decision function.

He does not want to use functions to describe all Mersenne primes, but to substitute the definite prime values into the function, and the resulting coordinate points, which are in the area covered by the decision function, are more likely to be Mersenne primes.

If it happens to intersect at the edges of the decision function, it must be a Mersenne prime.

This is a judgment that the exponent P corresponds to the Mersenne prime, rather than really cracking the mystery of the Mersenne prime.

While that's all there is to it, it's certainly quite remarkable, and the most direct effect is to help find more Mersenne primes.

……

Two days later, the GIMPS master released the news --

After two detailed calculations and tests, Wang Hao, a volunteer from China, found a new Merson prime number for the M6XXXXXXX Mason.

Although it is a newly found Mersenne prime, the code is not 52, but 49, and the new Mersenne prime, the number size is between 48 and the original 49, and it becomes the new '49th Mersenne prime'.

At the same time, the Mason Prime Electronic Frontier Foundation announced that they will award $100,000 to Wang Hao, a volunteer who found the new Mason Prime Number.

The GIMPS master has also been updated with the information.

The 'Lucky Patrick Rosh' introduction was replaced, and the 'Lucky Chinese Scholar' Wang Hao was put up, and the introduction was much taller than Padraic Roche, "This volunteer from China, an internationally renowned mathematician, is more fortunate than the average person, and the records show that he has only been with GIMPS for a short week. ”

"So, anyone can find a Mason prime and be lucky enough to win the $100,000 jackpot......"

Central University of Missouri.

Curtis Cooper sat in his office and watched the news from the main GIMPS station, and couldn't help but sigh for Wang Hao's luck. He had always thought that the next Mason prime would take two years, and he didn't expect to wait so soon.

"The number between the 48th and 49th numbers should be randomly assigned by the program."

"That's why I'm lucky!" Curtis Cooper couldn't help but sigh again and again, "After this number appears, the next one will have to wait for a few years, I don't know if I can wait until I retire?" ”

It's something that's uncertain.

Curtis Cooper is both fifty-seven years old, and his colleague who promoted GIMPS with him, Vince Edmondson, has passed away.

The other party was not able to share with him the results of finding the new Merson prime, and he was not able to share the excitement and joy of that.

This is where it is a pity.

Curtis Cooper shook his head in thought, and was about to turn off his computer to rest, when he suddenly saw a prompt on the webpage.

Highlighted in red.

"The new Mersenne prime number has been verified, and the number is M6XXXXXXX for the user WangHao from China."

The message is delayed, right?

Curtis Cooper subconsciously thought that it was the delay in news that day, but at a glance, he felt that something was wrong, but he personally verified the new Mersen prime, and it was verified twice in a row, and it took more than ten hours, and the eight numbers of the index could be memorized proficiently.

In this new hint, the index code number after M is significantly different.

"What's going on?"

"Could it be that the website has been hacked and something has gone wrong? Impossible, right? ”

Curtis Cooper rubbed his eyes vigorously, opened the forum and looked at it, and found that it could already be described as an 'explosion', full of related posts, and exclamations everywhere--

"Did you see that? New Mersenne primes. ”

"Another new Mason prime, still starting with 6, is still found by WangHao!"

"This feels like buying a lottery ticket, winning 100 million, buying another bet, and winning another 100 million, what kind of character is this?"

"It's amazing, this volunteer from China, Wang Hao!"

"There is no doubt that God is watching over him!"

"I'm going crazy with jealousy!"

“……”