filipe(@filicroval):The Anthropic zeta paper proved 67.25% of Riemann zeta zeros are simple and on the critical line. The community has been tightening it since: 67.30%, then 67.3138%. GPT-5.6 Sol Pro managed to improve the lower bound: 67.3206%. The proof uses a local inequality on seven consecutive zeros, with a small "pressure" penalty on each of the six gaps. Repo with exact rational coefficients, verifier, and certificates:

filipe

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filipe@filicroval

2026.08.11 22:29

The Anthropic zeta paper proved 67.25% of Riemann zeta zeros are simple and on the critical line. The community has been tightening it since: 67.30%, then 67.3138%. GPT-5.6 Sol Pro managed to improve the lower bound: 67.3206%. The proof uses a local inequality on seven consecutive zeros, with a small "pressure" penalty on each of the six gaps. Repo with exact rational coefficients, verifier, and certificates:

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