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The 246 theorem goes through Lean's kernel

Axiom Math published a machine-checked proof of the bounded prime gaps result that sits at the current edge of the subject, produced by its AxiomProver system and released as an interactive blueprint crediting 41 mathematicians and engineers. The proofs live in a public Lean library, PrimeGapsLib. Ken Ono, the company's founding mathematician, calls the statement "the threshold of human knowledge about prime numbers" — which is exactly the point: the interesting question is no longer whether a machine can check known mathematics, but how close to the frontier the checking can follow.

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IEEE Spectrum

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Axiom Math published a machine-checked proof of the bounded prime gaps result that sits at the current edge of the subject, produced by its AxiomProver system and released as an interactive blueprint crediting 41 mathematicians and engineers.

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Summary

The proofs live in a public Lean library, PrimeGapsLib. Ken Ono, the company's founding mathematician, calls the statement "the threshold of human knowledge about prime numbers" — which is exactly the point: the interesting question is no longer whether a machine can check known mathematics, but how close to the frontier the checking can follow.

  1. 01IEEE Spectrum
  2. 02Unite.AI