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Hodge conjecture

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RESEARCH · 1 SOURCE · The Decoder

OpenAI says internal model solved 100+ long‑standing math problems after one month of training

OpenAI says a new internal model solved more than 100 long‑standing mathematics problems — including claimed solutions to the Navier‑Stokes Millennium Problem and reportedly the Hodge conjecture — after roughly one month of training that began August 28. The company has formed an independent Advisory Group on Mathematics and Artificial Intelligence at the Institute for Advanced Study (including Timothy Gowers) to advise on how results are shared, but the group will not advise on the pacing of OpenAI's internal research; which problems were actually solved and the validity of the solutions remain open questions.

8.0

RESEARCH · 1 SOURCE · The Decoder

OpenAI reportedly close to solving the Hodge conjecture

According to a person familiar with the matter, OpenAI employees expect the company is close to a solution of the Hodge conjecture, though any announcement may be delayed and the claim is not independently confirmed. The report follows OpenAI's earlier, still-unverified Navier–Stokes claim and media say the company previously used a variant of a pretrained model codenamed "Doug" for that effort; some insiders hope such math work could feed into recursive self‑improvement research.

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