Researchllmtheorem provingproof verificationopenai
Generative AI Solves Select Erdős Problems
7.2
Over the past months, researchers have used generative-AI models, including ChatGPT and GPT-5.2 Pro, to produce solutions to several Erdős problems, some of which have been verified. UCLA professor Terence Tao says these represent systematic, lower-difficulty 'cheap wins' and foresees hybrid human-AI collaboration, while urging new verification standards and improved confidence estimates for AI-produced proofs.
Key Points
- 1Produces verified solutions to multiple Erdős problems using generative models, including ChatGPT and GPT-5.2 Pro.
- 2Highlights models' strength at systematically solving easier, long-tail mathematical problems, delivering repeatable 'cheap wins'.
- 3Imply urgent need for proof-verification, confidence estimation, and community standards for AI-assisted mathematics.
Scoring Rationale
High credibility and relevance due to Terence Tao's commentary, but novelty limited to 'easy' problem wins.
Sources
Public references used for this report.
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