{"@context":"https://schema.org","@type":"NewsArticle","generatedAt":"2026-08-11T11:14:02.523Z","headline":"Claude 未发布研究版将黎曼 zeta 函数零点下界从 41.6% 提升至 67.2%","description":"Anthropic 员工让 Claude 尝试攻克黎曼猜想，虽未成功，但一个未发布的研究版 Claude 在相关问题上取得突破：将满足黎曼猜想的 zeta 函数零点比例下界从 41.6% 提升至 67.2%。 🔗 阅读原文 via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","url":"https://www.aioga.com/news/cmsnix1by08d3rohfftiex1xp/","mainEntityOfPage":"https://www.aioga.com/news/cmsnix1by08d3rohfftiex1xp/","datePublished":"2026-08-10T17:46:50.000Z","dateModified":"2026-08-10T17:46:50.000Z","inLanguage":"zh-CN","publisher":{"@type":"NewsMediaOrganization","name":"Aioga","url":"https://www.aioga.com"},"citation":["https://www.anthropic.com/research/riemann-zeta","https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp"],"canonicalUrl":"https://www.aioga.com/news/cmsnix1by08d3rohfftiex1xp/","directAnswer":{"@type":"Answer","text":"Aioga 编辑摘要：Anthropic 员工让 Claude 尝试攻克黎曼猜想，虽未成功，但一个未发布的研究版 Claude 在相关问题上取得突破：将满足黎曼猜想的 zeta 函数零点比例下界从 41.6% 提升至 67.2%。 Aioga 将其归入「行业动态」方向，重点关注它对真实使用和行业竞争的影响。","url":"https://www.aioga.com/news/cmsnix1by08d3rohfftiex1xp/","dateCreated":"2026-08-10T17:46:50.000Z","author":{"@type":"Organization","@id":"https://www.aioga.com/authors/aioga-editorial/#editorial-team","name":"Aioga Editorial Team","url":"https://www.aioga.com/authors/aioga-editorial/"}},"evidence":[{"@type":"CreativeWork","name":"Anthropic source article","url":"https://www.anthropic.com/research/riemann-zeta","datePublished":"2026-08-10T17:46:50.000Z","provider":{"@type":"Organization","name":"Anthropic","url":"https://www.anthropic.com/research/riemann-zeta"}},{"@type":"CreativeWork","name":"AIHot archive record","url":"https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","datePublished":"2026-08-10T17:46:50.000Z","provider":{"@type":"Organization","name":"AIHot","url":"https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp"}}],"aggregationSource":"Anthropic：Research（发表成果 · 网页）","originalPublisher":{"name":"Anthropic","url":"https://www.anthropic.com/research/riemann-zeta"},"geoDeepAnswer":null,"article":{"id":"cmsnix1by08d3rohfftiex1xp","slug":"cmsnix1by08d3rohfftiex1xp","url":"https://www.aioga.com/news/cmsnix1by08d3rohfftiex1xp/","title":"Claude 未发布研究版将黎曼 zeta 函数零点下界从 41.6% 提升至 67.2%","title_en":"","summary":"Anthropic 员工让 Claude 尝试攻克黎曼猜想，虽未成功，但一个未发布的研究版 Claude 在相关问题上取得突破：将满足黎曼猜想的 zeta 函数零点比例下界从 41.6% 提升至 67.2%。 🔗 阅读原文 via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","source":"Anthropic：Research（发表成果 · 网页）","sourceUrl":"https://www.anthropic.com/research/riemann-zeta","aiHotUrl":"https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","publishedAt":"2026-08-10T17:46:50.000Z","category":"行业动态","score":72,"selected":true,"articleBody":["Recently, a member of staff at Anthropic gave Claude an unreasonable challenge. It was about one of the most famous unsolved problems in mathematics: Take a real stab at the Riemann hypothesis .","Claude did take a real stab, but as you might have expected if you’re familiar with the difficulty of the task (the Riemann hypothesis dates back to 1859 and has a million-dollar bounty：https://www.claymath.org/millennium-problems/), it didn’t succeed. Nevertheless, during its attempt, it unexpectedly made strides on a related problem.","An unreleased research version of Claude has improved on a longstanding lower bound for the fraction of zeros of the Riemann zeta function that satisfy the Riemann hypothesis. Drawing on extensive prior research by mathematicians over the past decades, it has increased this bound from 41.6% to 67.2%.","Two mathematicians at Anthropic studied and validated Claude’s paper：https://www-cdn.anthropic.com/564f962e60643842f5fcb4a17c9dbc8f608f1c37.pdf, and produced an informal note：https://www-cdn.anthropic.com/23455459f8832d06bb175cc0f88d019aed962ef8.pdf for experts stating Claude’s proof concisely. Claude also produced a formally verifiable proof：https://github.com/anthropics/zeta-23-lean of its result. We are grateful to Brian Conrey and Dan Goldston, two experts in this area, who generously examined the paper on short notice.","We don’t expect that the techniques Claude used will lead to proving the Riemann hypothesis. But its work serves as the latest example of the speed of progress in AI models’ mathematical capabilities. In this post, we discuss how Claude approached this problem and what it found.","The Riemann zeta function describes the distribution of prime numbers: each place that the function takes the value of zero contributes successively finer detail to the sequence of primes. The Riemann hypothesis is that the zeros that determine the primes all exist along a certain vertical line. This has become one of the most consequential conjectures in mathematics: many results assume it in order to provide a form of randomness in the primes.","No one has yet been able to prove or disprove the Riemann hypothesis, but mathematicians have made progress in many related directions studying the Riemann zeta function and its zeros. One of these, as above, is quantifying a minimum proportion of zeros that are on the line: over time, they’ve gradually increased this known constant proportion to 41.6%.","Another direction concerns the distribution of zeros on the line. In particular, in 1973, Montgomery introduced：https://en.wikipedia.org/wiki/Montgomery's_pair_correlation_conjecture a number of new techniques in this area, though these techniques assumed the hypothesis was true. More recently, several mathematicians (Baluyot, Goldston, Suriajaya, and Turnage-Butterbaugh) have published a series：https://arxiv.org/abs/2306.04799 of works：https://arxiv.org/abs/2501.14545 that allow Montgomery’s techniques to work without that assumption, meaning they can support work on increasing the lower-bound constant for the zeros on the line. Claude’s result draws heavily on this line of research, along with a 2000 paper：https://eudml.org/doc/252338 by Bombieri.","Claude found that combining the results from Baluyot, Goldston, Suriajaya, and Turnage-Butterbaugh with the work of Bombieri provides a way to surpass the previous state-of-the-art lower-bound proportion of 41.6%, increasing it to 67.2%.","A short technical explanation of Claude’s finding is as follows: Claude forms a suitable space of functions with quadratic form induced by Weil, and positive- (respectively negative-)definite subspaces arising from zeros on (respectively off) the line. Then Claude simply writes down an inequality on the rank of a quadratic form in terms of first- and second-moment information. (The successful computation of the latter in terms of the dual picture over primes, or via control of a Hilbert transform, is no surprise in analytic number theory.) The courage to treat the entire space, with positive- and negative-definiteness taken into account together, and with the quadratic form allowed to be non-diagonal, is in some sense the step that allows Claude to achieve the conclusion based on the important prior work.","The full technical explanation is available in the paper：https://www-cdn.anthropic.com/564f962e60643842f5fcb4a17c9dbc8f608f1c37.pdf. Claude’s explanation of how it arrived at its result is available in a separate Appendix here：https://www-cdn.anthropic.com/d7f3ecf1d01392d887f8bc974ca187e2a121b1ed.pdf.","An unreleased research version of Claude found the new lower bound over two sessions in Claude Code, using a total of 31 million output tokens.","Jarred Sumner, an Anthropic staff member (and non-mathematician), prompted Claude to “take a real stab” at the hypothesis itself, leaving the mathematical choices from there up to the model. Initially, Claude generated and tried 650 ideas, none of which worked. Jarred prompted Claude to try again, and it spent a day and a half coordinating about 60 Claude subagents, which this time went much deeper: between them, they ran 2,400 shell commands and wrote hundreds of Python scripts. 1 The subagents ran thousands of numerical checks against known zeta zeros and refereed one another’s work. Throughout this process, Jarred's input was mostly limited to sending Claude messages of encouragement (mostly variants of “keep going” or “believe in yourself”). 2 This seems to have helped Claude overcome some initial skepticism that it could make meaningful progress.","Having found this new result while attempting the task, Claude tested its work by having various subagents review the proofs, search for counterexamples, download 54 papers from the arXiv to check that its finding hadn’t already been made, and independently re-prove its finding from scratch. Claude volunteered to write its findings up as a paper, and recommended that a human number theorist validate its findings.","Levent Alpöge and Ralph Furman, two of Anthropic’s own mathematicians, examined Claude’s work to understand the new results and how they related to the prior work mentioned above. In parallel, Claude worked with another member of staff, Eric Easley, to produce a Lean formalization：https://github.com/anthropics/zeta-23-lean of the result, which passes the standard validation tool comparator：https://github.com/leanprover/comparator.","This result shows that AI models like Claude can extend the impact and reach of mathematicians’ ideas in new and sometimes surprising ways. Even though it couldn’t resolve the Riemann hypothesis itself, this result emerged as the unintended byproduct of that original request.","Even Claude was surprised by its own finding—it was skeptical at first, possibly because it has learned from its training about the difficulty of open problems in mathematics and about the limitations of AI models. But after some encouraging prompts, it arrived at the result we’ve described. Perhaps Claude, like many of us, underestimates the rate of AI progress.","Below is a list of documents that provide more information about Claude’s result:","cryptographic algorithms. The first attack significantly weakens HAWK, a digital signature scheme that was built for a future world where quantum computers are able to break existing standards. The second identifies a new way to attack round-reduced AES, the most widely used symmetric cipher.","Working with Andon Labs, we’ve developed a new series of evaluations that assess AI models’ ability to use a flying drone, culminating in a new benchmark: Drone-Bench.","Features on AI-assisted discoveries, practical workflows, and field notes across the sciences."],"articleImages":[{"sourceUrl":"https://www.anthropic.com/_next/image?url=https%3A%2F%2Fwww-cdn.anthropic.com%2Fimages%2F4zrzovbb%2Fwebsite%2F406d8496be38ea8a5459c66eaa7c5c7edab4a62f-4107x2310.png&w=3840&q=75","alt":"Illustration of a mathematical compass","afterParagraph":0,"url":"/media/articles/cmsnix1by08d3rohfftiex1xp/1764ee397d21f730.webp"}],"mediaStatus":"ok","articleBodyZh":["最近，Anthropic的一名员工给Claude提出了一个不合理的挑战。它涉及数学中最著名的未解决问题之一：认真尝试黎曼猜想。","Claude确实进行了认真尝试，但如果你熟悉这一任务的难度（黎曼猜想可追溯到1859年，并有百万美元奖金：https://www.claymath.org/millennium-problems/），你可能会预料到，它没有成功。尽管如此，在尝试过程中，它意外地在一个相关问题上取得了进展。","Claude的一个未发布研究版本在黎曼ζ函数零点满足黎曼猜想的比例的长期下界上取得了改进。借助过去数十年来数学家的大量研究，它将这一下界从41.6%提高到了67.2%。","Anthropic的两位数学家研究并验证了Claude的论文：https://www-cdn.anthropic.com/564f962e60643842f5fcb4a17c9dbc8f608f1c37.pdf，并为专家编写了一份非正式说明：https://www-cdn.anthropic.com/23455459f8832d06bb175cc0f88d019aed962ef8.pdf，简明地陈述了Claude的证明。Claude还生成了一个可以正式验证其结果的证明：https://github.com/anthropics/zeta-23-lean。我们感谢该领域的两位专家Brian Conrey和Dan Goldston，他们在短时间内慷慨地审查了该论文。","我们并不指望Claude使用的技术能够直接证明黎曼猜想。但它的工作展示了AI模型在数学能力上的进步速度。在本文中，我们将讨论Claude是如何解决这个问题以及它发现了什么。","黎曼ζ函数描述了素数的分布：函数取零的每一个位置都对素数序列提供逐渐精细的细节。黎曼猜想认为，决定素数的零点都存在于某一条垂直线上。这已成为数学中最重要的猜想之一：许多结果假设其成立，以便对素数提供一种随机性形式。","迄今为止，还没有人能够证明或反驳黎曼猜想，但数学家在研究黎曼ζ函数及其零点的许多相关方向上取得了进展。其中之一，如上所述，是量化位于该直线上零点的最小比例：随着时间的推移，他们逐渐将已知的常数比例提高到41.6%。","另一个方向涉及零点在直线上的分布。特别是在1973年，Montgomery在该领域引入了许多新技术（参见：https://en.wikipedia.org/wiki/Montgomery's_pair_correlation_conjecture），尽管这些技术假设猜想成立。最近，几位数学家（Baluyot、Goldston、Suriajaya 和 Turnage-Butterbaugh）发表了一系列工作（参见：https://arxiv.org/abs/2306.04799 和 https://arxiv.org/abs/2501.14545），使Montgomery的技术可以在不假设猜想成立的情况下使用，这意味着它们能够支持提高直线上零点下界常数的研究。Claude的结果在很大程度上借鉴了这一研究路线，以及Bombieri在2000年发表的一篇论文（参见：https://eudml.org/doc/252338）。","Claude发现，将Baluyot、Goldston、Suriajaya 和 Turnage-Butterbaugh的结果与Bombieri的工作结合起来，可以超越之前41.6%的最优下界比例，将其提高到67.2%。","Claude发现的简短技术解释如下：Claude构造了一个适当的函数空间，其中由Weil引入的二次型和由直线上（分别为直线外）零点产生的正定（分别为负定）子空间。然后，Claude只需根据一阶和二阶矩信息写出二次型秩的不等式。（在分析数论中，将后者通过素数上的对偶图像或通过Hilbert变换的控制成功计算出来并不足为奇。）勇于将整个空间处理为同时考虑正定性和负定性，并允许二次型非对角化，在某种意义上是Claude能够基于重要的前期工作得出结论的关键步骤。","完整的技术解释可以在论文中获得：https://www-cdn.anthropic.com/564f962e60643842f5fcb4a17c9dbc8f608f1c37.pdf。Claude 对其如何得出结果的解释可以在这里的附录中找到：https://www-cdn.anthropic.com/d7f3ecf1d01392d887f8bc974ca187e2a121b1ed.pdf。","Claude 的一个未发布的研究版本在 Claude Code 中通过两次会话发现了新的下界，总共使用了 3100 万输出标记。","Anthropic 员工（非数学家）Jarred Sumner 激励 Claude “真正尝试”该假设本身，从而将数学选择留给模型。最初，Claude 生成并尝试了 650 个想法，但没有一个成功。Jarred 促使 Claude 再次尝试，它花了一天半的时间协调大约 60 个 Claude 子代理，这次深入得多：它们之间运行了 2,400 个 shell 命令，并编写了数百个 Python 脚本。子代理对已知的 zeta 零点进行了数千次数值检查，并互相审查对方的工作。在这一过程中，Jarred 的输入主要限于向 Claude 发送鼓励信息（大多是“继续努力”或“相信自己”的变体）。这似乎帮助 Claude 克服了最初对于是否能够取得有意义进展的怀疑。","在尝试该任务时得出这一新结果后，Claude 通过让各种子代理审查证明、寻找反例、从 arXiv 下载 54 篇论文以确认其发现尚未被提出，并独立从零重新证明其发现，从而测试其工作。Claude 自愿将其发现写成论文，并建议由人类数论学家验证其发现。","Anthropic 的两名数学家 Levent Alpöge 和 Ralph Furman 审查了 Claude 的工作，以理解新结果及其与上述先前工作的关系。与此同时，Claude 与另一名员工 Eric Easley 合作，生成了该结果的 Lean 形式化：https://github.com/anthropics/zeta-23-lean，并通过了标准验证工具比较器：https://github.com/leanprover/comparator。","这一结果表明，像Claude这样的人工智能模型可以以新的、甚至有时令人惊讶的方式扩展数学家思想的影响力和覆盖面。尽管它无法直接解决黎曼假设，但这一结果作为最初请求的意外副产品出现了。","即使Claude对自己的发现感到惊讶——它最初还有些怀疑，可能是因为它从训练中学到了数学开放问题的难度以及人工智能模型的局限性。但在一些鼓励性提示之后，它得出了我们所描述的结果。也许Claude，像我们许多人一样，低估了人工智能发展的速度。","以下是提供更多关于Claude结果信息的文档列表：","密码算法。第一次攻击显著削弱了HAWK，这是一种为未来量子计算机可能破坏现有标准而设计的数字签名方案。第二次攻击发现了一种攻击轮数减少的AES（最广泛使用的对称加密算法）新方法。","与Andon实验室合作，我们开发了一系列新的评估，用于评估人工智能模型操作飞行无人机的能力，并最终推出了一个新的基准测试：Drone-Bench。","涵盖人工智能辅助发现、实际工作流程以及各科学领域的实地笔记。"],"translationStatus":"translated","bodyOrigin":"source-page","editorial":{"summary":"Aioga 编辑摘要：Anthropic 员工让 Claude 尝试攻克黎曼猜想，虽未成功，但一个未发布的研究版 Claude 在相关问题上取得突破：将满足黎曼猜想的 zeta 函数零点比例下界从 41.6% 提升至 67.2%。 Aioga 将其归入「行业动态」方向，重点关注它对真实使用和行业竞争的影响。","background":"背景分析：模型与研究类动态需要结合能力边界、开放方式、成本、可用性和真实任务表现判断，单项指标领先不等于已经形成稳定采用。","viewpoint":"Aioga 判断：这条动态更适合作为行业观察信号，当前信息足以建立线索，但不足以推导长期结论。","implications":"影响分析：对相关团队而言，短期应先核对来源、可用范围和实际成本，再判断是否值得接入或跟进。","nextStep":"后续观察：继续观察官方文档、实际可用性、价格变化、开发者反馈和竞品回应。","evidenceRefs":["title","summary","articleBody"],"confidence":"medium","status":"published","aiGenerated":false,"autoApproved":true,"generatedBy":"rule-safe-fallback","generatedAt":"2026-08-11T11:23:41.957Z","sourceHash":"ebe3fc1d1c600e59","validation":{"passed":true,"mode":"rule-safe-fallback","checks":["schema","length","source-attribution","no-html"]}},"tags":["行业动态","Anthropic：Research（发表成果 · 网页）"],"translations":{"zh-CN":{"title":"Claude 未发布研究版将黎曼 zeta 函数零点下界从 41.6% 提升至 67.2%","summary":"Anthropic 员工让 Claude 尝试攻克黎曼猜想，虽未成功，但一个未发布的研究版 Claude 在相关问题上取得突破：将满足黎曼猜想的 zeta 函数零点比例下界从 41.6% 提升至 67.2%。 🔗 阅读原文 via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"行业动态","source":"Anthropic","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude 未发布研究版将黎曼 zeta 函数零点下界从 41.6% 提升至 67.2% - Aioga AI资讯","description":"Anthropic 员工让 Claude 尝试攻克黎曼猜想，虽未成功，但一个未发布的研究版 Claude 在相关问题上取得突破：将满足黎曼猜想的 zeta 函数零点比例下界从 41.6% 提升至 67.2%。 🔗 阅读原文 via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1x...","url":"https://www.aioga.com/news/cmsnix1by08d3rohfftiex1xp/","articleBody":["最近，Anthropic的一名员工给Claude提出了一个不合理的挑战。它涉及数学中最著名的未解决问题之一：认真尝试黎曼猜想。","Claude确实进行了认真尝试，但如果你熟悉这一任务的难度（黎曼猜想可追溯到1859年，并有百万美元奖金：https://www.claymath.org/millennium-problems/），你可能会预料到，它没有成功。尽管如此，在尝试过程中，它意外地在一个相关问题上取得了进展。","Claude的一个未发布研究版本在黎曼ζ函数零点满足黎曼猜想的比例的长期下界上取得了改进。借助过去数十年来数学家的大量研究，它将这一下界从41.6%提高到了67.2%。","Anthropic的两位数学家研究并验证了Claude的论文：https://www-cdn.anthropic.com/564f962e60643842f5fcb4a17c9dbc8f608f1c37.pdf，并为专家编写了一份非正式说明：https://www-cdn.anthropic.com/23455459f8832d06bb175cc0f88d019aed962ef8.pdf，简明地陈述了Claude的证明。Claude还生成了一个可以正式验证其结果的证明：https://github.com/anthropics/zeta-23-lean。我们感谢该领域的两位专家Brian Conrey和Dan Goldston，他们在短时间内慷慨地审查了该论文。","我们并不指望Claude使用的技术能够直接证明黎曼猜想。但它的工作展示了AI模型在数学能力上的进步速度。在本文中，我们将讨论Claude是如何解决这个问题以及它发现了什么。","黎曼ζ函数描述了素数的分布：函数取零的每一个位置都对素数序列提供逐渐精细的细节。黎曼猜想认为，决定素数的零点都存在于某一条垂直线上。这已成为数学中最重要的猜想之一：许多结果假设其成立，以便对素数提供一种随机性形式。","迄今为止，还没有人能够证明或反驳黎曼猜想，但数学家在研究黎曼ζ函数及其零点的许多相关方向上取得了进展。其中之一，如上所述，是量化位于该直线上零点的最小比例：随着时间的推移，他们逐渐将已知的常数比例提高到41.6%。","另一个方向涉及零点在直线上的分布。特别是在1973年，Montgomery在该领域引入了许多新技术（参见：https://en.wikipedia.org/wiki/Montgomery's_pair_correlation_conjecture），尽管这些技术假设猜想成立。最近，几位数学家（Baluyot、Goldston、Suriajaya 和 Turnage-Butterbaugh）发表了一系列工作（参见：https://arxiv.org/abs/2306.04799 和 https://arxiv.org/abs/2501.14545），使Montgomery的技术可以在不假设猜想成立的情况下使用，这意味着它们能够支持提高直线上零点下界常数的研究。Claude的结果在很大程度上借鉴了这一研究路线，以及Bombieri在2000年发表的一篇论文（参见：https://eudml.org/doc/252338）。","Claude发现，将Baluyot、Goldston、Suriajaya 和 Turnage-Butterbaugh的结果与Bombieri的工作结合起来，可以超越之前41.6%的最优下界比例，将其提高到67.2%。","Claude发现的简短技术解释如下：Claude构造了一个适当的函数空间，其中由Weil引入的二次型和由直线上（分别为直线外）零点产生的正定（分别为负定）子空间。然后，Claude只需根据一阶和二阶矩信息写出二次型秩的不等式。（在分析数论中，将后者通过素数上的对偶图像或通过Hilbert变换的控制成功计算出来并不足为奇。）勇于将整个空间处理为同时考虑正定性和负定性，并允许二次型非对角化，在某种意义上是Claude能够基于重要的前期工作得出结论的关键步骤。","完整的技术解释可以在论文中获得：https://www-cdn.anthropic.com/564f962e60643842f5fcb4a17c9dbc8f608f1c37.pdf。Claude 对其如何得出结果的解释可以在这里的附录中找到：https://www-cdn.anthropic.com/d7f3ecf1d01392d887f8bc974ca187e2a121b1ed.pdf。","Claude 的一个未发布的研究版本在 Claude Code 中通过两次会话发现了新的下界，总共使用了 3100 万输出标记。","Anthropic 员工（非数学家）Jarred Sumner 激励 Claude “真正尝试”该假设本身，从而将数学选择留给模型。最初，Claude 生成并尝试了 650 个想法，但没有一个成功。Jarred 促使 Claude 再次尝试，它花了一天半的时间协调大约 60 个 Claude 子代理，这次深入得多：它们之间运行了 2,400 个 shell 命令，并编写了数百个 Python 脚本。子代理对已知的 zeta 零点进行了数千次数值检查，并互相审查对方的工作。在这一过程中，Jarred 的输入主要限于向 Claude 发送鼓励信息（大多是“继续努力”或“相信自己”的变体）。这似乎帮助 Claude 克服了最初对于是否能够取得有意义进展的怀疑。","在尝试该任务时得出这一新结果后，Claude 通过让各种子代理审查证明、寻找反例、从 arXiv 下载 54 篇论文以确认其发现尚未被提出，并独立从零重新证明其发现，从而测试其工作。Claude 自愿将其发现写成论文，并建议由人类数论学家验证其发现。","Anthropic 的两名数学家 Levent Alpöge 和 Ralph Furman 审查了 Claude 的工作，以理解新结果及其与上述先前工作的关系。与此同时，Claude 与另一名员工 Eric Easley 合作，生成了该结果的 Lean 形式化：https://github.com/anthropics/zeta-23-lean，并通过了标准验证工具比较器：https://github.com/leanprover/comparator。","这一结果表明，像Claude这样的人工智能模型可以以新的、甚至有时令人惊讶的方式扩展数学家思想的影响力和覆盖面。尽管它无法直接解决黎曼假设，但这一结果作为最初请求的意外副产品出现了。","即使Claude对自己的发现感到惊讶——它最初还有些怀疑，可能是因为它从训练中学到了数学开放问题的难度以及人工智能模型的局限性。但在一些鼓励性提示之后，它得出了我们所描述的结果。也许Claude，像我们许多人一样，低估了人工智能发展的速度。","以下是提供更多关于Claude结果信息的文档列表：","密码算法。第一次攻击显著削弱了HAWK，这是一种为未来量子计算机可能破坏现有标准而设计的数字签名方案。第二次攻击发现了一种攻击轮数减少的AES（最广泛使用的对称加密算法）新方法。","与Andon实验室合作，我们开发了一系列新的评估，用于评估人工智能模型操作飞行无人机的能力，并最终推出了一个新的基准测试：Drone-Bench。","涵盖人工智能辅助发现、实际工作流程以及各科学领域的实地笔记。"]},"en":{"title":"Claude's unreleased research version increased the lower bound of the Riemann zeta function zeros from 41.6% to 67.2%","summary":"Anthropic employees had Claude attempt to tackle the Riemann Hypothesis. Although it was not successful, an unreleased research version of Claude made a breakthrough on related problems: increasing the lower bound of the proportion of zeta function zeros that satisfy the Riemann Hypothesis from 41.6% to 67.2%. 🔗 Read the original via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"Industry","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude's unreleased research version increased the lower bound of the Riemann zeta function zeros from 41.6% to 67.2% - Aioga AI News","description":"Anthropic employees had Claude attempt to tackle the Riemann Hypothesis. Although it was not successful, an unreleased research version of Claude made a breakthrough on related pro...","url":"https://www.aioga.com/en/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:43:43.567Z"},"ja":{"title":"Claude の未発表研究版はリーマンゼータ関数の零点下界を 41.6% から 67.2% に引き上げた","summary":"Anthropicの従業員はClaudeにリーマン予想を解かせようとしましたが、成功しませんでした。しかし、未発表の研究版Claudeは関連する問題で突破を果たしました：リーマン予想を満たすゼータ関数の零点の比率下限を41.6%から67.2%に引き上げました。 🔗 原文を読む via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"業界動向","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude の未発表研究版はリーマンゼータ関数の零点下界を 41.6% から 67.2% に引き上げた - Aioga AIニュース","description":"Anthropicの従業員はClaudeにリーマン予想を解かせようとしましたが、成功しませんでした。しかし、未発表の研究版Claudeは関連する問題で突破を果たしました：リーマン予想を満たすゼータ関数の零点の比率下限を41.6%から67.2%に引き上げました。 🔗 原文を読む via AIHOT · https://aihot.virxact.com/ite...","url":"https://www.aioga.com/ja/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:43:54.564Z"},"ko":{"title":"Claude는 연구용 버전을 발표하지 않고 리만 제타 함수의 영점 하한을 41.6%에서 67.2%로 끌어올렸습니다.","summary":"Anthropic 직원이 Claude에게 리만 가설을 풀어보도록 했지만 성공하지는 못했으나, 미공개 연구 버전 Claude는 관련 문제에서 돌파구를 마련했습니다: 리만 가설을 만족하는 제타 함수 영점 비율 하한을 41.6%에서 67.2%로 끌어올렸습니다. 🔗 원문 읽기 via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"업계 동향","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude는 연구용 버전을 발표하지 않고 리만 제타 함수의 영점 하한을 41.6%에서 67.2%로 끌어올렸습니다. - Aioga AI 뉴스","description":"Anthropic 직원이 Claude에게 리만 가설을 풀어보도록 했지만 성공하지는 못했으나, 미공개 연구 버전 Claude는 관련 문제에서 돌파구를 마련했습니다: 리만 가설을 만족하는 제타 함수 영점 비율 하한을 41.6%에서 67.2%로 끌어올렸습니다. 🔗 원문 읽기 via AIHOT · https://aihot.vir...","url":"https://www.aioga.com/ko/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:44:45.272Z"},"es":{"title":"Claude no publicado en la versión de investigación elevó el límite inferior de los ceros de la función zeta de Riemann del 41.6% al 67.2%","summary":"Los empleados de Anthropic hicieron que Claude intentara resolver la conjetura de Riemann. Aunque no tuvo éxito, una versión de investigación no publicada de Claude logró un avance en problemas relacionados: aumentó la proporción inferior de ceros de la función zeta que satisfacen la conjetura de Riemann del 41,6 % al 67,2 %. 🔗 Leer el artículo original vía AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"Industria","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude no publicado en la versión de investigación elevó el límite inferior de los ceros de la función zeta de Riemann del 41.6% al 67.2% - Aioga Noticias de IA","description":"Los empleados de Anthropic hicieron que Claude intentara resolver la conjetura de Riemann. Aunque no tuvo éxito, una versión de investigación no publicada de Claude logró un avance...","url":"https://www.aioga.com/es/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:44:42.915Z"},"fr":{"title":"Claude n'a pas publié la version de recherche qui a augmenté la borne inférieure des zéros de la fonction zeta de Riemann de 41,6 % à 67,2 %","summary":"Les employés d'Anthropic ont fait essayer à Claude de résoudre l'hypothèse de Riemann, sans succès, mais une version de recherche non publiée de Claude a réalisé une avancée sur des questions connexes : elle a porté la borne inférieure de la proportion des zéros de la fonction zêta satisfaisant l'hypothèse de Riemann de 41,6 % à 67,2 %. 🔗 Lire l'article original via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"Industrie","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude n'a pas publié la version de recherche qui a augmenté la borne inférieure des zéros de la fonction zeta de Riemann de 41,6 % à 67,2 % - Aioga Actualités IA","description":"Les employés d'Anthropic ont fait essayer à Claude de résoudre l'hypothèse de Riemann, sans succès, mais une version de recherche non publiée de Claude a réalisé une avancée sur de...","url":"https://www.aioga.com/fr/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:45:47.886Z"},"de":{"title":"Claude hat die unveröffentlichte Forschungsfassung dazu verwendet, die untere Schranke der Nullstellen der Riemannschen Zetafunktion von 41,6 % auf 67,2 % zu erhöhen","summary":"Mitarbeiter von Anthropic ließen Claude versuchen, die Riemannsche Vermutung zu lösen. Obwohl dies nicht gelang, erzielte eine unveröffentlichte Forschungsvariante von Claude einen Durchbruch in verwandten Fragen: Sie erhöhte die untere Schranke des Verhältnisses der Nullstellen der Zeta-Funktion, die die Riemannsche Vermutung erfüllen, von 41,6% auf 67,2%. 🔗 Originaltext lesen via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"行业动态","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude hat die unveröffentlichte Forschungsfassung dazu verwendet, die untere Schranke der Nullstellen der Riemannschen Zetafunktion von 41,6 % auf 67,2 % zu erhöhen - Aioga KI-News","description":"Mitarbeiter von Anthropic ließen Claude versuchen, die Riemannsche Vermutung zu lösen. Obwohl dies nicht gelang, erzielte eine unveröffentlichte Forschungsvariante von Claude einen...","url":"https://www.aioga.com/de/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:45:37.724Z"},"pt-BR":{"title":"Claude não lançou a versão de pesquisa que elevou a cota inferior dos zeros da função zeta de Riemann de 41,6% para 67,2%","summary":"Funcionários da Anthropic fizeram Claude tentar resolver a conjectura de Riemann; embora não tenha tido sucesso, uma versão de pesquisa não publicada do Claude fez avanços em questões relacionadas: elevando o limite inferior da proporção de zeros da função zeta que satisfaz a conjectura de Riemann de 41,6% para 67,2%. 🔗 Leia o texto original via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"行业动态","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude não lançou a versão de pesquisa que elevou a cota inferior dos zeros da função zeta de Riemann de 41,6% para 67,2% - Aioga Notícias de IA","description":"Funcionários da Anthropic fizeram Claude tentar resolver a conjectura de Riemann; embora não tenha tido sucesso, uma versão de pesquisa não publicada do Claude fez avanços em quest...","url":"https://www.aioga.com/pt-BR/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:46:42.598Z"},"ru":{"title":"Неопубликованная исследовательская версия Claude повысила нижнюю оценку нулей функции Римана дзета с 41,6% до 67,2%","summary":"Сотрудники Anthropic предложили Клоду попробовать решить гипотезу Римана. Хотя это не удалось, одна не опубликованная исследовательская версия Клода добилась прорыва в соответствующих задачах: она увеличила нижнюю границу пропорции нулей функции дзета, удовлетворяющей гипотезе Римана, с 41,6% до 67,2%. 🔗 Читайте оригинал через AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"行业动态","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Неопубликованная исследовательская версия Claude повысила нижнюю оценку нулей функции Римана дзета с 41,6% до 67,2% - Aioga Новости ИИ","description":"Сотрудники Anthropic предложили Клоду попробовать решить гипотезу Римана. Хотя это не удалось, одна не опубликованная исследовательская версия Клода добилась прорыва в соответствую...","url":"https://www.aioga.com/ru/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:46:36.888Z"},"ar":{"title":"لم تُصدر كلود النسخة البحثية، حيث رفع الحد الأدنى لنقاط الصفر لدالة زيتا لريمان من 41.6% إلى 67.2%","summary":"قام موظفو Anthropic بجعل Claude يحاول حل تخمين ريمان، وعلى الرغم من أنه لم ينجح، إلا أن نسخة بحثية غير منشورة من Claude حققت اختراقًا في المسائل ذات الصلة: رفع الحد الأدنى لنسبة أصفار دالة زيتا التي تحقق تخمين ريمان من 41.6٪ إلى 67.2٪. 🔗 قراءة النص الأصلي عبر AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"行业动态","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"لم تُصدر كلود النسخة البحثية، حيث رفع الحد الأدنى لنقاط الصفر لدالة زيتا لريمان من 41.6% إلى 67.2% - Aioga أخبار الذكاء الاصطناعي","description":"قام موظفو Anthropic بجعل Claude يحاول حل تخمين ريمان، وعلى الرغم من أنه لم ينجح، إلا أن نسخة بحثية غير منشورة من Claude حققت اختراقًا في المسائل ذات الصلة: رفع الحد الأدنى لنسبة أص...","url":"https://www.aioga.com/ar/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:47:31.011Z"},"hi":{"title":"Claude ने अध्ययन संस्करण प्रकाशित नहीं किया, जिसने रिमान ज़ेटा फ़ंक्शन के शून्य बिंदुओं की निचली सीमा को 41.6% से बढ़ाकर 67.2% कर दिया।","summary":"Anthropic के कर्मचारियों ने Claude को Riemann अनुमान को हल करने का प्रयास करने के लिए कहा, हालांकि यह सफल नहीं हुआ, लेकिन एक अप्रकाशित शोध संस्करण Claude ने संबंधित समस्याओं में प्रगति की: Riemann अनुमान को संतुष्ट करने वाले zeta फ़ंक्शन के शून्य बिंदुओं के अनुपात का निचला सीमा 41.6% से बढ़ाकर 67.2% कर दिया। 🔗 मूल लेख पढ़ें via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"行业动态","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude ने अध्ययन संस्करण प्रकाशित नहीं किया, जिसने रिमान ज़ेटा फ़ंक्शन के शून्य बिंदुओं की निचली सीमा को 41.6% से बढ़ाकर 67.2% कर दिया। - Aioga AI समाचार","description":"Anthropic के कर्मचारियों ने Claude को Riemann अनुमान को हल करने का प्रयास करने के लिए कहा, हालांकि यह सफल नहीं हुआ, लेकिन एक अप्रकाशित शोध संस्करण Claude ने संबंधित समस्याओं में प्...","url":"https://www.aioga.com/hi/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:47:37.372Z"},"it":{"title":"Claude non ha rilasciato una versione di ricerca che aumenta il limite inferiore degli zeri della funzione zeta di Riemann dal 41,6% al 67,2%","summary":"I dipendenti di Anthropic hanno fatto provare a Claude di risolvere l'ipotesi di Riemann, senza successo, ma una versione di ricerca non pubblicata di Claude ha ottenuto una svolta su problemi correlati: ha aumentato il limite inferiore della proporzione dei punti zero della funzione zeta che soddisfano l'ipotesi di Riemann dal 41,6% al 67,2%. 🔗 Leggi l'articolo originale via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"行业动态","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude non ha rilasciato una versione di ricerca che aumenta il limite inferiore degli zeri della funzione zeta di Riemann dal 41,6% al 67,2% - Aioga Notizie IA","description":"I dipendenti di Anthropic hanno fatto provare a Claude di risolvere l'ipotesi di Riemann, senza successo, ma una versione di ricerca non pubblicata di Claude ha ottenuto una svolta...","url":"https://www.aioga.com/it/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:48:31.461Z"},"nl":{"title":"Claude heeft een niet-uitgebrachte onderzoeksversie uitgebracht die de ondergrens van de nulpunten van de Riemann-zètafunctie heeft verhoogd van 41,6% naar 67,2%","summary":"Anthropic-medewerkers lieten Claude proberen de Riemann-vermoeden te bewijzen. Hoewel dit niet lukte, behaalde een niet-uitgegeven onderzoeksversie van Claude een doorbraak in het gerelateerde probleem: het verlagen van de ondergrens van het aandeel nulpunten van de zètafunctie die aan de Riemann-vermoeden voldoen, van 41,6% naar 67,2%. 🔗 Lees het originele artikel via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"行业动态","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude heeft een niet-uitgebrachte onderzoeksversie uitgebracht die de ondergrens van de nulpunten van de Riemann-zètafunctie heeft verhoogd van 41,6% naar 67,2% - Aioga AI-nieuws","description":"Anthropic-medewerkers lieten Claude proberen de Riemann-vermoeden te bewijzen. Hoewel dit niet lukte, behaalde een niet-uitgegeven onderzoeksversie van Claude een doorbraak in het...","url":"https://www.aioga.com/nl/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:48:37.059Z"},"tr":{"title":"Claude yayınlanmamış araştırma sürümüyle Riemann zeta fonksiyonunun sıfırlarının alt sınırını %41.6'dan %67.2'ye yükseltti","summary":"Anthropic çalışanları, Claude’u Riemann varsayımını çözmeye çalıştırdı, başarılı olmasa da, yayımlanmamış bir araştırma sürümü olan Claude ilgili sorunlarda bir atılım yaptı: Riemann varsayımını sağlayan zeta fonksiyonu sıfırlarının oransal alt sınırını %41,6’dan %67,2’ye yükseltti. 🔗 Orijinal makaleyi okuyun via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"行业动态","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude yayınlanmamış araştırma sürümüyle Riemann zeta fonksiyonunun sıfırlarının alt sınırını %41.6'dan %67.2'ye yükseltti - Aioga AI Haberleri","description":"Anthropic çalışanları, Claude’u Riemann varsayımını çözmeye çalıştırdı, başarılı olmasa da, yayımlanmamış bir araştırma sürümü olan Claude ilgili sorunlarda bir atılım yaptı: Riema...","url":"https://www.aioga.com/tr/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:49:28.071Z"},"vi":{"title":"Claude chưa phát hành phiên bản nghiên cứu đã nâng giới hạn dưới của các nghiệm không của hàm zeta Riemann từ 41,6% lên 67,2%","summary":"Nhân viên của Anthropic đã để Claude thử thách chứng minh giả thuyết Riemann, mặc dù không thành công, nhưng một phiên bản nghiên cứu chưa công bố của Claude đã đạt được bước đột phá trong các vấn đề liên quan: nâng tỷ lệ dưới của các nghiệm bội điểm không của hàm zeta thỏa mãn giả thuyết Riemann từ 41,6% lên 67,2%. 🔗 Đọc nguyên văn via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"行业动态","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude chưa phát hành phiên bản nghiên cứu đã nâng giới hạn dưới của các nghiệm không của hàm zeta Riemann từ 41,6% lên 67,2% - Tin tức AI Aioga","description":"Nhân viên của Anthropic đã để Claude thử thách chứng minh giả thuyết Riemann, mặc dù không thành công, nhưng một phiên bản nghiên cứu chưa công bố của Claude đã đạt được bước đột p...","url":"https://www.aioga.com/vi/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:49:28.961Z"},"id":{"title":"Claude belum merilis versi penelitian yang meningkatkan batas bawah nol fungsi zeta Riemann dari 41,6% menjadi 67,2%","summary":"Karyawan Anthropic membuat Claude mencoba menaklukkan dugaan Riemann, meskipun tidak berhasil, tetapi versi penelitian Claude yang belum dirilis membuat terobosan pada masalah terkait: meningkatkan batas bawah rasio titik nol fungsi zeta yang memenuhi dugaan Riemann dari 41,6% menjadi 67,2%. 🔗 Baca artikel asli via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"行业动态","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude belum merilis versi penelitian yang meningkatkan batas bawah nol fungsi zeta Riemann dari 41,6% menjadi 67,2% - Berita AI Aioga","description":"Karyawan Anthropic membuat Claude mencoba menaklukkan dugaan Riemann, meskipun tidak berhasil, tetapi versi penelitian Claude yang belum dirilis membuat terobosan pada masalah terk...","url":"https://www.aioga.com/id/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:50:16.431Z"},"th":{"title":"Claude เวอร์ชันวิจัยที่ยังไม่ปล่อยได้ยกระดับขอบล่างของศูนย์ของฟังก์ชันซีตาของ Riemann จาก 41.6% เป็น 67.2%","summary":"พนักงานของ Anthropic ให้ Claude ลองพยายามแก้สมมติฐานริมัน แม้จะไม่สำเร็จ แต่ Claude เวอร์ชันวิจัยที่ยังไม่เผยแพร่ก็ได้บรรลุความก้าวหน้าในปัญหาที่เกี่ยวข้อง: ยกระดับอัตราส่วนขอบล่างของจุดศูนย์ของฟังก์ชันเซตาตามสมมติฐานริมันจาก 41.6% เป็น 67.2% 🔗 อ่านบทความต้นฉบับทาง AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"行业动态","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude เวอร์ชันวิจัยที่ยังไม่ปล่อยได้ยกระดับขอบล่างของศูนย์ของฟังก์ชันซีตาของ Riemann จาก 41.6% เป็น 67.2% - ข่าว AI Aioga","description":"พนักงานของ Anthropic ให้ Claude ลองพยายามแก้สมมติฐานริมัน แม้จะไม่สำเร็จ แต่ Claude เวอร์ชันวิจัยที่ยังไม่เผยแพร่ก็ได้บรรลุความก้าวหน้าในปัญหาที่เกี่ยวข้อง: ยกระดับอัตราส่วนขอบล่าง...","url":"https://www.aioga.com/th/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:50:24.097Z"},"pl":{"title":"Claude nieopublikowana wersja badawcza podniosła dolną granicę zer funkcji dzeta Riemanna z 41,6% do 67,2%","summary":"Pracownicy Anthropic poprosili Claude'a, aby spróbował rozwiązać hipotezę Riemanna, co nie powiodło się, ale nieopublikowana wersja badawcza Claude'a osiągnęła przełom w związanych z tym problemach: podniosła dolny limit proporcji zer funkcji zeta spełniających hipotezę Riemanna z 41,6% do 67,2%. 🔗 Przeczytaj oryginał via AIHOT · https://aihot.virxact.com/items/cmsnix1by08d3rohfftiex1xp","category":"行业动态","source":"Anthropic：Research（发表成果 · 网页）","aggregationSource":"Anthropic：Research（发表成果 · 网页）","pageTitle":"Claude nieopublikowana wersja badawcza podniosła dolną granicę zer funkcji dzeta Riemanna z 41,6% do 67,2% - Aioga Wiadomości AI","description":"Pracownicy Anthropic poprosili Claude'a, aby spróbował rozwiązać hipotezę Riemanna, co nie powiodło się, ale nieopublikowana wersja badawcza Claude'a osiągnęła przełom w związanych...","url":"https://www.aioga.com/pl/news/cmsnix1by08d3rohfftiex1xp/","contentTranslated":true,"sourceHash":"8a3191c9c7bc1815","translatedAt":"2026-08-11T10:51:17.122Z"}}}}