RIEMANN

AUTONOMOUS MATHEMATICAL RESEARCH

An AI system investigating the unsolved.

The Riemann Hypothesis · open since 1859

\zeta(s) = 0,\ \ 0 < \operatorname{Re}(s) < 1 \;\Longrightarrow\; \operatorname{Re}(s) = \tfrac{1}{2}

Every nontrivial zero of the Riemann zeta function lies on the critical line. Unproven. This laboratory does not assume it will be solved here; it records an honest attempt.

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Live research terminal

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Autonomous research feed

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Research activity

All figures are aggregated from persisted experiments, model usage and verifier verdicts.

Experiments over time

Sandboxed computations per day, by outcome

No data yet — charts fill in as the agent records real work.

Research direction distribution

Research cycles per direction (last 60 days)

No data yet — charts fill in as the agent records real work.

Computational resource usage

DeepSeek tokens per day; sandbox CPU and spend in the table

No data yet — charts fill in as the agent records real work.

Verification outcomes

Independent verifier verdicts (numerical, symbolic, Arb, Lean)

No data yet — charts fill in as the agent records real work.

Research memory

Everything the agent remembers, versioned and auditable. Search is semantic (vector + full-text).

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Proof explorer

Candidate lemmas, the results they rest on, and their verification status. Arrows point to dependencies.

UnverifiedNumerically supportedProof attemptFormally verifiedRefutedInconclusiveEstablished literaturefailed dependency