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Number Theory

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OpenAI Releases 722 AI-Generated Math Papers Amid Researcher Criticism

OpenAI has published 722 mathematical research papers produced by its internal AI system, covering topics like number theory and algebraic geometry. The collection includes results related to three of the five Millennium Prize Problems, including the Riemann hypothesis, but the underlying proprietary model remains inaccessible. Researchers are now examining these proofs, though questions about their correctness and transparency persist.

Terence Tao explains why he declined to sign Fields medallists' open letter

Terence Tao published a blog post detailing his reasons for not adding his name to a letter signed by fellow Fields Medal winners. The post opens with an extended personal anecdote about his childhood fascination with Fermat's Last Theorem before turning to his actual rationale for abstaining from the collective statement.