A 23-year-old amateur just solved a 60-year-old math problem—with AI.
Liam Price has no advanced math training, but using ChatGPT Pro, he got a solution to a problem that had stumped experts for decades.
AI has tackled “Erdős problems” before, but this one stands out. Not just because it was unsolved, but because the method was completely new.
The problem involves “primitive sets” and a scoring idea from Erdős. While parts were proven, one key piece remained open—until now.
Price was just experimenting. He didn’t even know the full context. When ChatGPT produced a solution, he shared it—and experts quickly took it seriously.
They confirmed it works, though the proof needed cleanup. More importantly, the idea behind it could apply to other problems.
This might be more than a one-off—it could be a new way to approach math.
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