Friday, January 9, 2026

Can AI Tackle Open Erdős Problems? | 郑泽宇’s Homepage

Breakthroughs in AI and Erdős Problems: A New Era

As of January 2026, AI’s role in solving Erdős problems is evolving. Here’s what you should know:

  • Recent Developments: Kevin Barreto’s attempt at Erdős problem #728 highlights AI’s potential, showing a new solution emerging through minimal human input.
  • Clarified Challenges: The consensus now includes non-trivial constraints, steering the AI’s contributions toward meaningful results rather than merely verifying existing theories.

Key Points:

  • Most claims of “AI solving” Erdős problems misrepresent the actual contributions, often stemming from clarifications rather than independent solutions.
  • AI is proving itself by:
    • Facilitating rigorous proofs
    • Assisting in literature review to unearth overlooked solutions
    • Contributing to mathematical discovery in collaborative efforts

Why This Matters

The synergy between mathematicians and AI tools is accelerating research in mathematics. As we push boundaries, AI might soon tackle these challenges independently.

👉 Join the conversation! Share your thoughts on AI’s impact on mathematics in the comments. #AI #Mathematics #Innovation

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