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OpenAI Model Solves Decades-Old Unit Distance Conjecture 48 Percent of Time Autonomously

By Egleze Editorial Desk · Published June 13, 2026 · Cognitive Revolution · AI in the AM — Week 2 Highlights (June 2026)
OpenAI Model Solves Decades-Old Unit Distance Conjecture 48 Percent of Time Autonomously
Cognitive Revolution
Cognitive Revolution
AI in the AM — Week 2 Highlights (June 2026)

What was said

"Not only can OpenAI's model solve this problem autonomously without any harness in one shot, if given enough test time compute, it can do it 48% of the time based on, as I understand it, hundreds of attempts. So this problem that no human mathematician was able to solve, and they tried for decades, can now be solved in one shot by a model basically half the time."

Legal researcher Prince reports that OpenAI's latest model can autonomously solve the unit distance conjecture, a decades-old unsolved problem in mathematics, 48% of the time when given sufficient compute. This represents the first instance of AI solving problems no human mathematician could crack, and the success rate curve shows positive second derivative suggesting further capability gains.

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Egleze verified who said this and where. The underlying claim has not been independently established by Egleze.

Programme
Cognitive Revolution
Episode
AI in the AM — Week 2 Highlights (June 2026)
Clip time
1:34:35
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Cognitive Revolution
Cognitive Revolution

AI in the AM — Week 2 Highlights (June 2026)

June 13, 2026 · 5 Egleze moments
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