Genius of the Rules-Style System

Chapter 306: Chapter 210 Great Discovery about Twin Primes_2

Feng Ruixue went over and spoke with the stout instructor.

"Go ahead!"

"Huh?"

Feng Ruixue said to Zhao Yi, "Zhao Yi, you should go first if you have something to do!"

"I don’t have anything to do?"

Before Zhao Yi could refute, Qian Zhijin on the side caught him off guard, "Hurry up! Zhao Yi, it’s a huge discovery, you must be there, it’s related to your waveform graph."

"Okay, okay."

He ended up being dragged away.

Qian Zhijin was not joking. They were conducting a validation of the second set of prime number solutions for the ’three-dimensional trembling waveform graph,’ using the validation algorithm Zhao Yi had given.

The validation of the second set of prime number solutions was much more challenging than the first one. The lab’s computer didn’t quite have enough processing power, and it took an entire day to validate just several ten millions of solutions.

When Qian Zhijin and Liu Guangzuo were examining the second set of solutions in comparison to the first set, they suddenly discovered something extraordinary--

Many of the solutions from the first and second sets pair up to form directly related twin primes.

"There are approximately one third of the first ten million prime solutions," one of them estimated.

"The most important point is that the distribution probability of twin prime solutions does not diminish significantly with the increase in the numerical value."

"This data is highly irregular. I have to inform you immediately!"

Qian Zhijin was very animated.

Liu Guangzuo remained relatively calm, but his eyes were alight with excitement, reflecting the importance of their discovery.

Zhao Yi took a deep breath. He was surprised by the news, but felt relief after some consideration.

The mathematical task was ’to complete a detailed analysis of the prime solutions of the three-dimensional trembling waveform graph’. Proving both sets of prime solutions did not accomplish the task.

And so, there must be something more to the prime solutions.

Twin primes?

This was indeed shocking news.

Zhao Yi sat in his chair, staring at the prime solution data on the computer, deeply engrossed in thought.

Just as Qian Zhijin had said, the data was very abnormal. One fifth of the first ten million prime solutions were twin primes, which was an unusual proportion.

There are over fifty million prime numbers less than one billion, and the proportion of twin primes is slightly more than one-sixth.

This proportion decreases as the numerical value increases, which leads to the ’twin prime conjecture,’ that is, ’whether there are infinitely many twin primes.’

In addition to that, the distribution probability of twin prime solutions not diminishing significantly with the increase in numerical value is even more irregular.

The quantity and ratio of twin primes decrease as the numerical value increases. By the time you reach prime numbers of about ten or twenty digits, the proportion would have significantly dropped.

Normally, as the numerical value of prime solutions increases, and because the proportion of twin primes decreases, the distribution probability of twin prime solutions would naturally decrease as well. freeωebnovēl.c૦m

However, the decrease in the distribution probability of twin prime solutions couldn’t keep pace with the speed of the decrease in the proportion of primes in the numbers.

This was a complex problem indeed. The emergence of a large quantity of twin prime solutions in the three-dimensional trembling waveform graph could not be merely coincidental.

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What use is it?

Zhao Yi couldn’t figure it out. Was it to prove the twin prime conjecture by utilizing the three-dimensional trembling waveform graph?

Impossible!

The three-dimensional trembling waveform graph is an expansion of the Riemann Conjecture and can be considered a conjecture in itself.

To prove the twin prime conjecture under the condition of the three-dimensional trembling waveform graph would be the same as not proving anything...it’s—

Wait!

Zhao Yi suddenly asked, "Does it make sense to prove the twin prime conjecture, assuming that the three-dimensional trembling waveform graph is valid?"

"Of course it does!"

Liu Guangzuo stated seriously, "The three-dimensional trembling waveform graph is an expansion of the Riemann Conjecture. If it can be proven, the Riemann Conjecture and the twin prime conjecture can be linked, becoming one and the same conjecture!"

"I think, that would be a great step forward in prime number research!"

Zhao Yi nodded, seeming somewhat indifferent.

The problem was...

Liu Guangzuo, being a professor of computer science and an expert in the field of artificial intelligence, didn’t have as strong a footing in mathematics or number theory.

Well, alright.

"I should ask Professor He, or Zhou Li might also do." Zhao Yi thought, "For now, I’ll continue researching. Let’s not publicize the validation results just yet."

Qian Zhijin seemed a bit hesitant.

If other research institutions were to prove the second set of prime number solutions for the three-dimensional trembling waveform graph before them, wouldn’t their work be in vain?

Zhao Yi understood his concern and assured him, "Don’t worry, within half a month, no institution will be able to complete the validation, not even a supercomputer."

"Yes, trust Zhao Yi!"

Liu Guangzuo was also confident. The validation algorithm they were using was given by Zhao Yi, who is world-renowned for his understanding of the three-dimensional trembling waveform graph and his abilities in computer algorithms.

For other institutions to carry out validation, they would first need to study the second set of prime number solutions for the three-dimensional trembling waveform graph, then design a validation algorithm.

This process would take a long time.

Being well-versed in computer science, Liu Guangzuo concurred that designing the algorithm alone would take over half a month, provided one has a deep understanding of the second set of prime number solutions for the three-dimensional trembling waveform graph.

So, there was no need to rush.

Promptly publicizing the validation results wouldn’t accomplish much. Others would think that Zhao Yi, being at Yanhua University, surely must have helped.

Even though it was true...it sounded less than complimentary to simply blurt it out!

...

Zhao Yi left the Intelligent and Automatic Laboratory with a solemn expression, constantly contemplating the prime solution sets and twin prime problem, unable to untangle his thoughts in such a short period of time.