Artificial intelligence company OpenAI has announced 10 advances in mathematics and computer science made with its as-yet unreleased model Astra. The discoveries cover a wide range of mathematical fields, including geometry, cryptography and coding theory.

These 10 are just the latest in a rapidly growing list of mathematical breakthroughs made by generative artificial intelligence (AI) systems.

OpenAI accompanied the announcement with a statement on “responsibility to the mathematical community”. Here, the company acknowledges concerns about attribution, accountability for the correctness of AI-assisted results, and the changing nature of mathematical discovery.

The statement reflects a growing understanding that the remarkable technical advances due to AI are only part of a bigger story about what mathematics means, and what its future will look like.

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