Anthropic's Claude Model Advances Riemann Hypothesis Research
On August 10, 2026, Anthropic published a research note reporting that an unreleased research version of Claude improved a longstanding lower bound on the fraction of zeros of the Riemann zeta function that satisfy the Riemann hypothesis, raising it from 41.6% to 67.2%. The research model successfully improved a longstanding mathematical lower bound proportion of zeros on the critical line for the Riemann zeta function during an autonomous multi-day testing session. This unprecedented leap, which took human mathematicians 37 years for minimal progress, represents the largest single advance in the hypothesis's 165-year history. Claude accomplished this by synthesizing previously separate, specialized mathematical literature, effectively acting as a universal reader. The proof was rigorously machine-verified and reviewed by leading external experts. Claude did not prove the Riemann Hypothesis, and a lower bound of 67.2% is still very far from the 100% that a full proof would require.