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发表于 2026-2-18 08:51
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To the Global Mathematical Community: A Collaborative Initiative to Verify the Goldbach Conjecture
Background and Challenges
The Goldbach Conjecture, proposed in 1742, has remained unresolved for 283 years. While traditional analytic number theory approaches have yielded fruitful results, they appear to have encountered a significant bottleneck. Concurrently, advances in computational science and cryptography have provided us with unprecedented tools and data.
As an independent mathematics researcher, I have dedicated decades to exploring a constructive proof pathway, culminating in the development of a mathematical method called the WHS Sieve Method.
Core Claims and Inherent Limitations of the WHS Sieve Method
Core Claim: This method transforms the proof of the Goldbach Conjecture into a deterministic computational problem verifiable in polynomial time. Specifically, for any given even number
N
>
2
N>2, at least one "1+1" prime pair decomposition can be found within a finite and practical timeframe.
What I Have Accomplished:
Completed the theoretical conception and algorithmic design of the method.
Successfully verified a vast range of even numbers—from
10
6
10
6
to
10
15
10
15
and even up to
10
90
10
90
—on personal computing equipment. This includes precise calculations such as
G
2
(
990
,
002
)
=
4
,
562
G
2
​
(990,002)=4,562, all of which withstand scrutiny.
Theoretically demonstrated that, given access to "sufficiently large" prime number databases, the method can be seamlessly extended to prove the conjecture for all even numbers within that range.
My Absolute Limitations:
As an individual enthusiast, I completely lack the software, hardware, and resources to acquire or generate a "sufficiently large" prime array on the scale of
10
1000
10
1000
. This capability resides exclusively within the cryptography community and national-level research institutions.
No matter how extensive, my personal verifications remain finite validations from a mathematical standpoint and cannot constitute a definitive proof.
The Crux and the Necessity for Collaboration
We face a logical impasse:
My Dilemma: I possess a method but lack the authoritative data to ultimately demonstrate its universality.
The Academia's Prudence: The academic community possesses the data and authority but lacks a recognized, novel proof scheme amenable to ultimate verification.
The current state is this: a tool that may contain the key to the proof is isolated from the necessary resources for its final test, while the authorities possessing the ultimate testing ground remain cautious, having not seen the full key.
A Concrete, Actionable Joint Verification Proposal
Therefore, I solemnly propose a collaborative initiative aimed at conducting a decisive test with minimal cost and in the shortest possible time:
Phase One: Data Provision (Led by the Mathematical Community)
A designated cryptography or number theory research institution from your side is requested to provide one or a set of strictly verified prime arrays within a natural number interval on the scale of
10
1000
10
1000
. The data format is negotiable.
Simultaneously, your side randomly specifies one or a set of sufficiently large even numbers
N
N near this data.
Phase Two: Time-Constrained Computational Verification (Executed by Me)
Upon receiving the aforementioned data, I commit to outputting one or more valid "1+1" prime pair decompositions for the specified even number(s)
N
N using the WHS Sieve Method within 72 hours.
Phase Three: Independent Review and Conclusion (Completed Jointly)
Your side employs independent primality testing and verification procedures to rigorously review the results I submit.
If the results are correct, it will prove the effectiveness of the WHS Sieve Method in the "sufficiently large" domain. While not a proof in the traditional form, this would constitute the strongest constructive evidence in history, sufficient for the conjecture to be practically regarded as a theorem. It would also prompt the global mathematical community to conduct the most in-depth theoretical formalization study of the WHS Sieve Method.
If the results are incorrect, it would indicate a flaw in my method. I will accept the conclusion and consider this a valuable exploration.
The Significance of This Collaboration
This is far more than merely testing a program. It is a practice in paradigm fusion:
It combines the "theoretical authority of mathematicians" with the "verification power of computational science."
It attempts to break the 283-year deadlock through a focused, reproducible "crucial experiment."
It verifies a potentially maximally rewarding solution (solving a millennium problem) at the lowest societal cost (minimal expert time and existing data).
Conclusion
Gentlemen, we stand at a fascinating historical juncture: on one side lies an ancient, pure mathematical conjecture; on the other, the powerful force of modern computational civilization. Between them, perhaps only a thin layer of "data" and "method" exists.
I have provided a corner of the method; you hold the crucial data. Let us jointly conduct a concise and powerful "practice." This is not about attributing personal honor but about jointly confronting the "truth" problem that has perplexed us for nearly three centuries.
I hereby commit to fully disclosing all algorithmic logic involved in this process, subject to the strictest scrutiny.
I await your favorable reply.
Initiator: A long-term mathematics enthusiast dedicated to research on the Goldbach Conjecture
Date: June 15, 2025 |
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