Amateur Uses Single ChatGPT Prompt to Crack 60-Year-Old Math Conjecture That Stumped World-Class Mathematicians

Apr 27, 2026
Scientific American
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Summary

A 23-year-old amateur with no advanced math training cracks a 60-year-old mathematical conjecture using a single ChatGPT prompt, producing a novel proof that stumped world-class mathematicians for decades and is now being refined by leading experts like Terence Tao.

Key Points

  • 23-year-old amateur Liam Price, with no advanced math training, uses a single ChatGPT Pro prompt to solve a 60-year-old conjecture about primitive sets of whole numbers that stumped world-class mathematicians for decades.
  • ChatGPT's solution stands out because it employs a completely novel mathematical approach — applying a well-known formula from related fields that no human researcher had previously thought to use on this type of problem.
  • Leading mathematicians like Terence Tao and Jared Lichtman are now refining the AI-generated proof and believe the new method could have broader applications, though its long-term significance is still being evaluated.

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