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Anthropic用未发布Claude尝试黎曼猜想,意外改进零点下界

Absolutely insane. This might be the clearest glimpse yet of how AI will transfo…

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AI在数学研究上取得意外突破,展示了自主科学发现的潜力,做AI for Science或关注模型推理能力的同学值得关注。

Absolutely insane. This might be the clearest glimpse yet of how AI will transform scientific discovery.

绝对疯狂。这可能是迄今最清晰的一瞥,展示了AI将如何改变科学发现。

Anthropic asked an unreleased version of Claude to take a real stab at the Riemann Hypothesis, one of the most famous unsolved problems in mathematics.

Anthropic让一个未发布的Claude版本真正尝试攻克黎曼猜想,这是数学中最著名的未解问题之一。

It failed. But while failing, Claude unexpectedly improved a longstanding lower bound for the proportion of zeros of the Riemann zeta function known to satisfy the hypothesis, from 41.6% to 67.2%.

它失败了。但在失败过程中,Claude意外地改进了黎曼zeta函数满足该猜想的零点比例的一个长期存在的下界,从41.6%提高到67.2%。

Claude coordinated 60 subagents, tested hundreds of ideas, searched the literature, challenged its own proof, and formalized the result in Lean. This is what the beginning of autonomous AI-driven scientific discovery looks like.

Claude协调了60个子代理,测试了数百个想法,搜索了文献,挑战了自己的证明,并在Lean中形式化了结果。这就是自主AI驱动的科学发现的开始。

Unironically, the Rienann hypothesis will probably be solved in the very near future.

毫不讽刺地说,黎曼猜想很可能在不久的将来被解决。

I am speechless.

我无言以对。

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