Stone to Silicon

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.

See it in the living treeWikipediaSource

Arcs above join it to what it stood on, arcs below to what it led to. The bar places this stretch on the tree's whole timeline.

What it built on 2

Related measurements

The dashed line marks when it first worked.

Training compute of notable AI models Source: Epoch AI, Notable AI Models (CC BY 4.0)