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🤯 AI may have just triggered a domino effect in pure mathematics.
A few weeks ago, researchers at OpenAI revealed that one of their internal models found a radically new construction for the famous Erdős single-distance problem, overturning what mathematicians had believed for nearly 80 years. The shocking part wasn’t just the result, it was the method.
Instead of using the standard geometric approach, the AI connected the problem to deep algebraic number theory using towers of class fields, a direction many humans had apparently overlooked. Now the ripple effects are already showing up.
A new paper on arXiv claims to disprove the famous sum-product hypothesis over the real numbers using a similar field-tower strategy: And the authors openly admit what inspired them;
“We were inspired to reconsider the possibility of disproving the hypothesis thanks to the counterexample for the single-distance problem invented at OpenAI.”
That sentence alone feels historic. The researchers also mention using GPT-5.5 Pro during the work, though they emphasize the final proof was completed independently.
@aipost 🏴
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