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GPT-5 just casually did new mathematics.

Sebastien Bubeck gave it an open problem from convex optimization, something humans had only partially solved. GPT-5-Pro sat down, reasoned for 17 minutes, and produced a correct proof improving the known bound from 1/L all the way to 1.5/L.

This wasn’t in the paper. It wasn’t online. It wasn’t memorized. It was new math. Verified by Bubeck himself.

Humans later closed the gap at 1.75/L, but GPT-5 independently advanced the frontier.
A machine just contributed original research-level mathematics.

If you’re not completely stunned by this, you’re not paying attention.

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UCLA 수학과 교수 Ernest Ryu의 논평.

숙련된 박사과정학생이 몇시간정도 투자해서 증명할 수 있는 난이도의,남들이 풀 시도를 안해서 open problem인
쉬운 수준의 open problem을 증명한 것이지만,
"답이 알려져있지 않은"
문제를 LLM이 최초로 증명한 사례기때문에
매우 충격적임.


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인간이 문제 입력하는데 30초가 걸렸고,
GPT5가 이를 해결하는데 걸린 시간은
17분 35초.

- dc official App