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DeepMind’s FunSearch uses an LLM to find new cap set constructions

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Google DeepMind reported in Nature that FunSearch, which pairs a language model writing code with an automatic evaluator, found new solutions to the cap set problem in mathematics and better bin-packing algorithms. DeepMind described it as the first discovery on open problems in science or mathematics made with a large language model.

Why it matters

Mathematicians and computer scientists gained a method that turns language-model output into checkable programs, which later systems such as AlphaEvolve built on.

When
14 Dec 2023
ID
WTA-N-2023-0184
Who
Google DeepMind

Summary by wheresthe.ai, from Google DeepMind and the reporting credited above. Checked against the source on 9 Oct 2026.

Source copy: download the page as saved on 18 Oct 2026 (PDF). Also held by the Internet Archive.

Next stop on this Storyline: Led toGoogle DeepMind’s AlphaEvolve agent improves algorithms and open maths bounds

Cite this story

WTA-N-2023-0184: “DeepMind’s FunSearch uses an LLM to find new cap set constructions.” wheresthe.ai, 14 Dec 2023. https://wheresthe.ai/d/gb-deepmind-funsearch-cap-set-2023-12/ (source: Google DeepMind).

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