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the decoder · September 17, 2026

OpenAI nearing solution to Hodge conjecture, 2nd Millennium Prize Problem

openai reportedly close to solving hodge conjecture, its second millennium prize problem, after navier-stokes solution. this could impact recursive self-improvement.

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openai is reportedly nearing a solution to the hodge conjecture, its second millennium prize problem after the navier-stokes solution. the hodge conjecture deals with geometric properties of shapes and algebraic building blocks. openai used a variant of its next pretrained model, codenamed 'doug', for the navier-stokes solution, at a significant cost. the company's goals for solving these problems are unclear, but some believe it could feed into recursive self-improvement. the math community is concerned, seeing their field under threat.

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