open-problems

Open problems, research agendas, and papers in Math for AI Safety — public from draft stage onward

A toolkit for AI agents to explore and attempt Erdős's 1,179 unsolved mathematical problems

Open problems in AI safety, stated self-contained for statisticians. A companion to Lionel Levine MAIS.

C.Algebra System derived fron own Author works.

An AI agent for open mathematical problems — honest by design.

The minimal elements of the prime numbers which are > b written in the positional numeral system with radix b, as digit strings under the subsequence ordering, for 2 ≤ b ≤ 36

CLI and workspace for Paul Erdos problems.

Cross-disciplinary discovery, audit, ranking, and verification tooling for agent-ready open research problems

The hypothesis: the dimensionless constants of physics are counts, arithmetic and topological invariants of a compact geometry, with no continuously adjustable parameter. This repository is the program's charter and its list of open problems.

A source-linked index of open math problems solved, refuted, or settled with AI — tracking the July 2026 wave. Verification-status badges, Lean/DRAT certificates, priority caveats.

A constructive and AI-assisted approach to the Riemann Hypothesis, focusing on structured classification and critical line constraints.

Certificate-first automated search over open problems in quasigroup, loop, and semigroup theory: ATP/SAT/GAP encodings, verification protocol, and result bundles

Verifier-first backlog of attackable open problems

A new philosophy of cryptographic design where every attack strategy becomes a liability. V9 — THE LEVIATHAN. 70+ defenses, Hall spread derivation, Reguli-resistant decoys, 15-vector attack battery. Novelty: 9/10 (unanimous).

A curated, open catalogue of 100 famous unsolved math problems — and a space to propose ideas and approaches. Contributions welcome.

Exact results on cone-order intervals: the Ball-Lens Lemma, closed-form interval and boundary counts on lattices, dimension recovery, and an identifiability boundary for winding on diluted causal cylinders. Every claim machine-verified; reviewers welcome.

Computational experiments for Erdős-style combinatorial conjectures

v1.0 — Publication-grade map of 112 open physics problems: open-math culture, agentic sprints, epistemology. Live board on GitHub Pages.

Agent-driven research library for open mathematical conjectures: attempted approaches, especially the failed ones, with adversarial verification and a blind/informed split so others can send their own agents.

Machine-verified contributions to open problems in mathematics. Headline result: the strong Molluzzo problem for modulus 6 (balanced Steinhaus triangles over Z/6Z) — resolved, formalized in Lean 4, replayed by CI. Don't trust — verify. AI-assisted. Sponsor: Catalia.