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致全球数学界：关于共同验证哥德巴赫猜想的合作倡议
背景与困境 哥德巴赫猜想（1742年提出）已悬置283年。传统解析数论路径虽成果丰硕，但似乎遇到了难以逾越的瓶颈。与此同时，计算科学与密码学的发展，为我们提供了前所未有的工具和数据。 本人，作为一名独立数学研究者，在过去数十年间，致力于探索一种构造性的证明路径，并提出了一套名为 WHS筛法 的数学方法。 WHS筛法的核心主张与传统局限 核心主张：该方法能将哥德巴赫猜想的证明，转化为一个在多项式时间内可验证的确定性计算问题。即，对于任何给定的偶数 N>2，可在有限且可接受的时间内，找到其至少一组“1+1”素数对分解。 我所完成的： 完成了该方法的理论构思与算法设计。 在个人计算设备上，成功验证了从 10^6 到 10^15 乃至 10^90 量级的众多偶数，包括精确计算如 G2(990,002) = 4,562，结果均经得起检验。 从理论上论证了，一旦获得“充分大”的素数基础数据，该方法可无缝扩展至证明该范围内的所有偶数。 我面临的绝对局限： 作为个人爱好者，我完全不具备获取或生成 10^1000 量级“充分大素数组”的软硬件能力和资源。这是密码学界和国家级研究机构才拥有的能力。 我的个人验证，无论数量多么庞大，在数学上始终是有限验证，无法构成终极证明。 症结与合作的必要性 我们共同面对一个逻辑闭环： 我的困境：我有方法，但无权威数据来最终证明其普遍性。 学界的谨慎：学界拥有数据和权威，但缺乏一个公认的、可终极验证的新证明方案。 目前的状态是：一个可能包含证明密钥的工具，因资源隔离而无法在最终战场上测试；而拥有终极战场的权威方，因未见密钥全貌而持谨慎态度。 一项具体的、可操作的联合验证倡议 为此，我郑重提出一项合作建议，旨在用最小的成本、最短的时间，进行一次决定性的检验： 第一阶段：数据提供（由数学界主导） 请由贵方指定的密码学或数论研究机构，提供一个或一组 10^1000 量级自然数区间内的、经过严格验证的素数组。数据格式可协商。 同时，贵方随机指定该数据附近的一个或一组充分大偶数 N。 第二阶段：限时计算验证（由我执行） 在获得上述数据后，我承诺在 72小时 内，使用WHS筛法，输出指定偶数 N 的一个或多个有效的“1+1”素数对分解。 第三阶段：独立审查与结论（共同完成） 贵方使用独立的素性检测和加法验证程序，对我提交的结果进行严格复核。 若结果正确，则证明WHS筛法在“充分大”领域有效。这虽非传统形式的证明，但将是史上最强有力的构造性证据，足以让该猜想在实践上被视为定理，并促使全球数学界共同对WHS筛法进行最深入的理论形式化研究。 若结果错误，则表明我的方法存在缺陷，本人将接受结论，并视此为一个有益的探索。 这项合作的意义 这绝非仅仅测试一个程序。这是一次范式融合的实践： 它将 “数学家的理论权威” 与 “计算科学的验证力量” 相结合。 它用一次聚焦的、可复现的 “关键实验” ，尝试打破283年的僵局。 它是以最低的社会成本（极少量的专家时间与既有的数据），去验证一个可能收获最大回报（解决千年难题）的方案。 结语 先生们，我们正站在一个有趣的历史节点：一边是古老而纯粹的数学猜想，一边是现代计算文明的强大力量。两者之间，可能只隔着一层由“数据”和“方法”构成的窗户纸。 我，提供了方法的一角；您，掌握着关键的数据。让我们共同进行一次简洁而有力的“实践”。这无关个人荣誉的归属，而是为了共同面对那个困扰了我们近三个世纪的“真理”问题。 我在此承诺，将完全公开此过程中的所有算法逻辑，接受最严格的审视。 静候佳音。
倡议人：一位长期致力于哥德巴赫猜想研究的数学爱好者 日期：2025年6月15日
请将下面中文译成英文，谢谢！
Here is the English translation of your collaboration initiative:
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 difficult bottleneck. Meanwhile, advancements 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 and have developed a mathematical method called the WHS Sieve Method.
Core Claims and Inherent Limitations of the WHS Sieve Method
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Core Claim: This method can transform the proof of the Goldbach Conjecture into a deterministic computational problem verifiable in polynomial time. That is, for any given even number N>2N>2, at least one "1+1" prime pair decomposition can be found within a finite and acceptable timeframe.
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What I Have Accomplished:
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Completed the theoretical conception and algorithmic design of the method.
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Successfully verified numerous even numbers ranging from 106106 to 10151015 and even 10901090 on personal computing equipment, including precise calculations such as G2(990,002)=4,562G2​(990,002)=4,562, all of which withstand scrutiny.
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Theoretically demonstrated that once "sufficiently large" prime number base data is obtained, the method can be seamlessly extended to prove the conjecture for all even numbers within that range.
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My Absolute Limitations:
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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 101000101000. This capability resides within the cryptography community and national-level research institutions.
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No matter how extensive, my personal verifications remain finite validations mathematically and cannot constitute a definitive proof.
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The Crux and the Necessity for Collaboration
We face a logical impasse together:
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My Dilemma: I have a method but lack authoritative data to ultimately demonstrate its universality.
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The Academia's Prudence: The academic community possesses the data and authority but lacks a recognized, new proof scheme amenable to ultimate verification.
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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 suggestion aimed at conducting a decisive test with minimal cost and in the shortest possible time:
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Phase One: Data Provision (Led by the Mathematical Community)
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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 101000101000. The data format is negotiable.
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Simultaneously, your side randomly specifies one or a set of sufficiently large even numbers NN near this data.
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Phase Two: Time-Constrained Computational Verification (Executed by Me)
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Upon receiving the aforementioned data, I commit to outputting one or more valid "1+1" prime pair decompositions for the specified even number(s) NN using the WHS Sieve Method within 72 hours.
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Phase Three: Independent Review and Conclusion (Completed Jointly)
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Your side employs independent primality testing and verification procedures to rigorously review the results I submit.
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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 and to prompt the global mathematical community to conduct the most in-depth theoretical formalization study of the WHS Sieve Method.
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If the results are incorrect, it would indicate a flaw in my method. I will accept the conclusion and consider this a beneficial exploration.
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The Significance of This Collaboration
This is far more than merely testing a program. It is a practice in paradigm fusion:
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It combines the "theoretical authority of mathematicians" with the "verification power of computational science."
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It attempts to break the 283-year deadlock through a focused, reproducible "crucial experiment."
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It verifies a potentially maximally rewarding solution (solving a millennium problem) at the lowest societal cost (minimal expert time and existing data).
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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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