人工智能在数学领域取得重大突破，GPT5.2模型仅用15分钟便证明了保罗·埃尔德什遗留的未解难题，并通过形式化工具验证。埃尔德什的千余猜想曾被视为人类智慧边界，但近期已有15个问题被解决，其中11个由AI完成。
OpenAI的GPT-5Pro通过截图识别出埃尔德什问题#339早在2003年已有证明论文，这一发现震惊数学界。该数论难题由保罗·埃尔德什提出，核心探讨自然数集合A作为r阶基时，能否确保用其中r个元素覆盖特定数学性质。22年前已解决的悬案凸显AI在学术检索中的突破潜力。
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