The title of Zhao Yi’s fourth paper was quite long, with the main title being "Bounded Interval of Pris" and the subtitle being "Proof of the Existence of Infinite Pri Combinations Less Than or Equal to 246".
The content was as the title suggested.
To a layman, the content seed to bear little relation to the twin pri conjecture, yet in fact they were directly associated, as the twin pri conjecture could be loosely translated as, "Can we find a positive number so that there are infinitely many pairs of pris less than this given positive number?"
In the conjecture of twin pris, this number is 2.
Zhao Yi’s paper demonstrated that this positive integer is less than or equal to 246.
The difference between the two is quite significant.
Zhao Yi’s initial proof dealt with a number less than or equal to fifty million. After using a series of thods to reduce this number to 246, he found that his thods no longer worked if he wanted to reduce it further, necessitating the consideration of new thods.
This was undoubtedly a huge project, perhaps on par with proving a highly challenging conjecture, which was why Zhao Yi claid, "This path is a dead end."
However, the public’s reaction was unexpected.
Dostic dia directly called his paper "a critical and most important step in proving the twin pri conjecture."
Perhaps due to Zhao Yi being a dostic scholar, the dostic dia was prompt in its response. Within an hour of the publication of the paper, major dia outlets had already drawn this conclusion.
This was definitely not a conclusion drawn by the reporters themselves.
The dia even conducted special interviews with well-known mathematicians at ho, who shared similar views, claiming, "The twin pri conjecture has seen no progress for a hundred years."
"Zhao Yi’s paper gives a weakened proof of the twin pri conjecture, it is a crucial step."
"Although 246 sounds like a large number, in actuality, it’s quite small. Many years ago, mathematicians asserted that if soone was to give a weakened proof of the twin pris conjecture, the initial number could be over a million, even ten million, or a hundred million."
Although this statent may be difficult for laypeople to understand, Zhao Yi nodded repeatedly, as his initial proof indeed dealt with several tens of millions.
The global mathematical community reacted quickly.
Most dia outlets didn’t bother about whether the proof process was correct, because it had been published in "Mathematical Progress". The peer reviewers had also comnted, "The proof is correct and is a first-class piece of mathematical work".
So, the chances of the proof process being wrong were minimal.
"Mathematical Progress", after publishing the paper, explicitly pointed out, "This proof marks an important milestone!"
Even so foreign dia declared, "The bounded interval of pris is a significant breakthrough in the ultimate number theory problem, the twin pri conjecture!"
So even suggested, "Its impact on the academic world might surpass Chen Jingrun’s ’1 2’ proof."
The International Mathematical Union also got involved, explaining Zhao Yi’s proof for the general public, with the Goldbach Conjecture used for comparison purposes.
Many people believe that proving ’1 1’ equates to demonstrating ’1 1=2’, a concept often scoffed at; ’1 1’ already equals ’2’, a fundantal mathematical concept that doesn’t need proving.
To understand the Goldbach conjecture, one must first understand the concept of almost pris, which are positive integers with not many pri factors.
Let N be an even number.
Although it can’t be proven that N is the sum of two pris, it could be proven that it can be written as the sum of two almost pris, i.e., N=A B, where both A and B don’t have many pri factors, say fewer than 10.
The notation "a b" is used to represent the proposition: every large even number N can be expressed as A B, where the number of pri factors of A and B are no more than a and b, respectively.
Obviously, Goldbach’s Conjecture can be written as "1 1".
The earliest progress on Goldbach’s Conjecture originates from 1920 when the Norwegian mathematician Brown proved "9 9".
Progress continued after that.
In 1966, the dostic mathematician Chen Jingrun proved "1 2"—every sufficiently large even number can be portrayed as the sum of two numbers, one being a pri number and the other either a pri number or the product of two pris. This is known as "Chen Jingrun’s theorem".
Zhao Yi’s weakened proof for the twin pri conjecture resembled this approach. He made a start by proving "there are infinitely many pairs of pri numbers whose difference is less or equal to 246."
Reducing 246 to 2 could prove the twin pri conjecture.
Danny Wilson, a professor of number theory at San Jose State University, explained, "The distance from 246 to 2 is negligible compared to that from infinity to 246."
In discussing the impact and importance of Zhao Yi’s research, many dia outlets also evaluated Zhao Yi personally.
So mathematicians explicitly stated, "If before, based on his three-dinsional earthquake waveform diagram, Zhao Yi might win the Fields dal, with his innovative proof for the twin pri conjecture, I dare say now that Zhao Yi’s na will definitely be on the Fields dal in four years!"
"If not, it would be a scandal for the international mathematical community."
"There’s nothing more aningful for mathematical research than this!"
With that, many dia outlets shifted from addressing Zhao Yi as the ’future recipient of the Fields dal’, to the ’recipient of the next Fields dal’.
Thus far, no dostic mathematician has ever received the Fields dal, which goes to show why the dostic dia coverage has been so frenzied--
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