CHAPTER 469: CHAPTER 152: PROOF OF THE INFINITY OF PRIME PAIRS WITH A DIFFERENCE OF 6

Tian Yanzhen told Qiao Yu to get out quickly. After Qiao Yu obediently left the office, his mind started calculating.

The benefits of giving a presentation at the mathematics conference were obvious. Qiao Yu thought it was probably because his mentor and Elder Yuan felt embarrassed that they hadn’t secured the previous project, so they fought for this opportunity.

Having him present this idea in front of everyone was somewhat like asking the entire mathematics community to weigh in.

It could be understood as shouting out to the Huaxia mathematics community: "Everyone come and see, we secured a major project opportunity for Qiao Yu, do we have any ulterior motives or not!"

But this, of course, was on the premise that he hadn’t submitted it to Ann.Math. From the mentor’s attitude, Qiao Yu could analyze that giving a presentation at a conference was still not as useful as publishing a paper in a top journal.

After all, the former is just shouting to the Huaxia mathematics community, while the latter is shouting to the global mathematics community.

But now there are only 17 or 18 days left until the 25th, preparing a paper that can be presented as a one-hour report at the mathematics conference, also without losing the mentor’s face...

It indeed seems a bit difficult.

This is the downside of being too excellent; the mentor thinks he is omnipotent!

As a result, walking on the way back to the dormitory, Qiao Yu felt the emotions he was supposed to experience at his age—melancholy!

He was completely unprepared!

Recently, he devoted himself entirely to completing the proof for the multimodal space system, working on extending the proof from two dimensions to three dimensions, and this work would take at least a month or two to complete.

Alright, Qiao Yu had to admit, without any direction, asking him to produce a paper out of thin air in half a month was like joking around?

This is a bit troublesome...

Soon, Qiao Yu sat in front of his computer and began to think hard.

The main issue was that the conference timing was too unreasonable. It was right at the beginning of November, and the month that Ann.Math published annually happened to be odd-numbered each year.

This was also why Qiao Yu felt that his and Senior Brother Chen’s paper might not get published this year.

Submitting in October, even with rapid review, it would probably go into November, plus the time for typesetting, the earliest publication could be in January next year, or possibly even March.

This is if everything went smoothly. If the reviewers had any questions about the paper and discussions went back and forth, it might be delayed further.

This is also why many university instructors who signed the 3+3 employment agreement feel immense pressure.

Usually, such agreements clearly require several papers to be published during the assessment period; for example, three papers must be published in a certain level of journal within three years.

It sounds not too difficult. But for young teachers who have just stepped into the campus threshold, they have to complete the heaviest teaching tasks, conduct research, and tussle back and forth with reviewers.

Projects always have more seekers than offerings, and articles without recommendations from big names are difficult to get published on time. The academic positions universities can offer are also quite limited.

Most people are unwilling to compromise, as going to teach at a non-prestigious school often signifies cutting ties with mainstream academia, and that’s how the rest of life would be.

Thinking of this, Qiao Yu suddenly realized that he wasn’t really in that difficult a position. After all, such a situation was impossible for him.

It’s simply about writing a paper that would make Director Tian and Elder Yuan feel they wouldn’t lose face. Although the time is short, as long as there is a general direction, it shouldn’t be too difficult.

The key is the direction.

Then Qiao Yu turned his gaze to Prime Numbers...

Just like he and Zhang Yuantang, Tao Xuanzhi, Lott Degen, and other big names said, his intention to construct a generalized modal number theory axiom system was to solve the problem of Prime Numbers.

Therefore, apart from this axiom system, he thought about Prime Numbers the most in his daily life.

He even attempted to use this set of axioms to solve some Prime Number problems, and there was much progress.

For example, regarding the Twin Prime Conjecture, Qiao Yu felt he could use the method he constructed to reduce the bounded distance between Prime Numbers to two-digit, or even single-digit numbers greater than 2.

Since Zhang Yuantang proved that the interval was under 60 million, through the collective effort of the mathematics community, the number was currently pushed to 246.

Since 2014 this number hasn’t changed, because with the method Zhang Yuantang provided, proving up to this point is already an extreme. The mathematics community generally agreed that getting any lower required new mathematical ideas and tools to accomplish.

For Qiao Yu, he hadn’t thought about writing a paper on this issue before, mainly because he couldn’t make the number equal 2 for now.

Because to equal 2 and completely solve the Twin Prime Conjecture, there are still some technical problems that haven’t been solved yet.

After all, the modal density and modal path tools haven’t been fully proven. Also, reaching such a point would require considering precision.

For example, can the local oscillations of the modal density function satisfy the twin prime trajectories? These are things that need to be proven before officially discussing the issue.

However, as long as it is not equal to 2, the precision requirement is actually not that high, and it can be entirely proven using the existing tools of the generalized modal number theory axiom system.

Moreover, a paper like this would definitely suffice for the conference. Not to mention, this was a report on the third morning of the conference, not the opening report.

Most importantly, if it’s a paper like this, he wouldn’t need eighteen days, ten days at most would be enough. After all, the proof idea was already in his head.