# Claude raises Riemann zeta zero bound to 67.2%

Anthropic's unreleased research Claude increased the proven lower bound for zeros satisfying the Riemann hypothesis from 41.6% to 67.2%.

- The result applies to the fraction of zeros of the Riemann zeta function that satisfy the hypothesis.
- The work is described in a research page at anthropic.com/research/riemann-zeta.
- The model did not solve the Riemann hypothesis itself.

## Why it matters

Mathematicians and AI researchers now have evidence that large language models can contribute to open mathematical problems, potentially accelerating research in number theory.

## Sources

- [Anthropic: Claude raises Riemann zeta zero bound to 67.2%](https://x.com/AnthropicAI/status/2086867246073401655)

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Summarized by dstilled on 2026-08-10. https://dstilled.ai/story/af4ae250-f52d-482c-b5c1-630322605459