Tech · IEEE Spectrum AI
AI Tapped to Verify Toughest Mathematics Proof
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Future versions could verify correctness of AI-generated code.
Key facts
- Earlier this year, Axiom Math competitor Math, Inc. used its Gauss agent to formalize Maryna Viazovska ’s 2022 Fields Medal-winning proof of the sphere-packing problem in 8 and 24 dimensions
- A few months later, using a different technique, University of Oxford professor James Maynard dramatically reduced this gap from 70 million to 600; a feat which substantially contributed to Maynard
- The first few primes are close together: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31
- Representing a significant milestone in AI-assisted mathematical research, a team at Axiom Math has automatically verified the proof of a theorem relating to prime numbers—colloquially referred
Summary
Benjamin Skuse is a freelance writer of all things science and technology. Representing a significant milestone in AI-assisted mathematical research, a team at Axiom Math has automatically verified the proof of a theorem relating to prime numbers—colloquially referred to as the “246 theorem”—for the first time using the company’s AI system AxiomProver. In formal verification, mathematicians task a computer with checking a machine-readable version of a proof. This is not AxiomProver’s first rodeo. Earlier this year, Axiom Math competitor Math, Inc. used its Gauss agent to formalize Maryna Viazovska ’s 2022 Fields Medal-winning proof of the sphere-packing problem in 8 and 24 dimensions.