Third-party independent review of OpenAI's Lean math proofs
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有研究者对 OpenAI 用 AI 模型生成的 Lean 证明做了独立复现，结论是证明通过检查。该证明声称 Riemann zeta 函数在 Re(s) > 7/8 时没有零点，比此前只排除 Re(s)=1 及左侧极窄区域的结果推进了一步，但不等于证明 Riemann 假设。证明规模约 2,900 个文件、近 50 万行，Lean 自带内核与另一套用 Rust 独立实现的 nanoda 内核都接受该证明，且只依赖 Lean 的三条标准公理。
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- davegoldblatt/openai-zeta-proof-checkSelectedIndependent reproduction of OpenAI's Lean proof: ζ(s) has no zeros for Re(s) > 7/8
Researchers independently reproduced OpenAI's Lean proof generated by an AI model and concluded that the proof passes inspection. The proof claims that the Riemann zeta function has no zeros for Re(s) > 7/8, a step forward from earlier results that only excluded Re(s)=1 and a very narrow region to its left, but it does not amount to a proof of the Riemann hypothesis. The proof comprises about 2,900 files and nearly 500,000 lines; both Lean's built-in kernel and a separate Rust-based independent implementation, the nanoda kernel, accept the proof, which relies on only three standard axioms of Lean. The reproducers noted several uncovered aspects: both checks were performed by the same operator on the same machine, and no one has yet independently reproduced it from a fresh clone; the check assumes the OpenAI repository is non-adversarial, and its build configuration and 23 dependency patches run outside the comparator sandbox during the setup phase; OpenAI's configuration disables the second kernel by default (402 of 405 set to false), and this reproduction turned it on.
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