Claude AI Boosts Riemann Zero Bound to 67.2%

We explore how Claude, an AI, dramatically advanced the Riemann zeta problem by proving that about 67.25% of its nontrivial zeros lie on the critical line. From a wall of dead ends to a human prompt that sparked 60 coordinated sub-agents, the episode follows the move to a Montgomery–Taylor window, a rank-trace inequality, and a formally verified Lean4 proof. It’s a vivid case study in AI–human collaboration turning grinding insight into rigorous math—and a glimpse of what collaborative discovery could unlock next.

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