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A math problem had been resisting experts for more than 80 years. An AI has outperformed them all

TL;DR AI

Key summary

2 min read
  1. OpenAI says an internal reasoning model helped produce a new lower-bound breakthrough for Erdős’s planar unit-distance problem.

  2. The result raises the lower bound from about n^(1+o(1)) to n^(1+δ), ending an 80-year stalemate.

  3. Princeton mathematicians checked the proof and accepted it, lending credibility to the AI-assisted finding.

  4. The advance suggests general-purpose AI may be able to generate genuinely novel mathematics, not just solve benchmarks.

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