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By Rick Wesson, Support Intelligence, Inc. — August 2026 The Setup: Two Paths to the Same Mountain In July 2026, Anthropic published work showing that an unreleased version of Claude helped mathematicians improve a 100-year-old bound on the Riemann Hypothesis: the proportion of zeta zeros known to lie on the critical line increased from 41.6% to 67.2%. The proof constructs a quadratic form on a function space — splitting it into positive-definite and negative-definite subspaces — and uses moment estimates to bound the rank. It does not prove RH. But it moves the needle. At the same time, we were investigating something that looks completely unrelated: what happens when you map prime numbers onto a 3D Hilbert curve and measure the density on axis-aligned planes? The primes cluster — up to 7.2σ at order 6 — and the plane-to-plane correlation matrix is exactly tridiagonal, with eigenvalues that correlate at r = −0.99 with the first 64 known zeta zeros. The catch: the eigenvalues are…

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