20h ago
Liam Price solves Erdős primitive sets conjecture with ChatGPT
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4 top authorsLiam Price, a 23-year-old without advanced mathematics training, solved the longstanding Erdős conjecture on primitive sets using a ChatGPT Pro subscription. Primitive sets are collections of whole numbers where no number divides another. He posted the unconditional nine-sentence proof on erdosproblems.com after prompting the model without internet search to reference lemmas and pursue novel arguments. The solution resolves a problem open for 60 years.
Why it matters
- Liam Price (23-year-old amateur mathematician) received the full analytic proof solution from one ChatGPT Pro session lasting eighty minutes.
- The novel proof used purely analytic von Mangoldt weights instead of the probabilistic approach dominant since 1935.
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