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.

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%

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