Math & science · August 2026
Two thirds of zeta zeros on the line
AI lifts the proven share of Riemann zeta zeros on the critical line to 67%.
An unreleased Claude model raised the proven proportion of nontrivial zeta zeros on the critical line from 41.6% to 67.2%, with a Lean-checked proof reviewed by Brian Conrey and Daniel Goldston. It is the largest step toward the Riemann hypothesis in decades.
What it built on 2
Related measurements
The dashed line marks when it first worked.
Best AI score on GPQA Diamond Latest: 95.8 % correct (2026) Source: Epoch AI, Capabilities & benchmarking (benchmark_data.zip, gpqa_diamond.csv); Anthropic: Claude 3 public launch (March 4, 2024)
Training compute of notable AI models Source: Epoch AI, Notable AI Models (CC BY 4.0)