New cap set records in dimensions 9 and 11, found with GPT-6 Astra's help
holdenmatt · x · 2026-11-10
A new math paper reports larger cap sets in F₃⁹ and F₃¹¹ — 1104 and 5744 points with no three on a line, beating the previous best known 1082 and 5504 — found with help from GPT-6 Astra. The 1104-cap contains two copies of the 512-cap DeepMind's FunSearch discovered in 2023. Paper, coordinates, and Python verification code are public.
The author has chased this problem since 2003 via the game SET, with private search repos going back over a decade, and notes earlier models like gpt-4, o3, and Opus were too weak for math research — only recent models like Astra became genuinely useful.
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