Amateur mathematician uses AI to solve long-standing Erdős problem

Apr 25, 2026

AI Summary

Liam Price, a 23-year-old without advanced math training, has solved a 60-year-old conjecture using ChatGPT. This solution, which employs a novel method, has garnered attention from experts and may have broader implications in mathematics.

Liam Price, a 23-year-old amateur mathematician, solved a 60-year-old problem related to Erdős conjectures using ChatGPT Pro.
The problem involves special sets of whole numbers where no number can evenly divide another, termed 'primitive sets' by mathematician Paul Erdős.
Price's solution, prompted by a single query to the AI, utilized a new method that had not been previously considered by experts.
Terence Tao, a mathematician at UCLA, noted that previous attempts at the problem may have been hindered by a 'mental block.'
The AI's approach revealed a connection that could lead to new insights in mathematics, particularly regarding large numbers.
Experts have acknowledged that while the raw output from ChatGPT was initially unclear, it contained valuable insights that required expert interpretation.
The discovery has sparked interest in potential applications of AI in solving complex mathematical problems.

chatgpterdos problemsmathematicsproblem solvingamateur

Amateur mathematician uses AI to solve long-standing Erdős problem

Related Stories

Thinking Machines Lab develops AI model for simultaneous conversation

ChatGPT Sees Increased Adoption Among Older Users in Early 2026

Optimizing Matrix Multiplication for Swift in LLM Training

arXivLabs Encourages Collaboration on New Features with a Focus on Privacy