OpenAI的GPT-5.2Pro模型在研究员推动下，成功协助解决了数论领域的“埃尔德什难题”第281号，被数学家陶哲轩评价为AI解决开放性数学问题的重要案例。
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。
Google
$8.75
输入tokens/百万
$70
输出tokens/百万
1k
上下文长度
-
%20--%3e%3cdefs%3e%3cstyle%3e%20.st0%20{%20fill:%20%23061b40;%20}%20.st1%20{%20fill:%20%23306af1;%20}%20.st2%20{%20fill:%20%235ce5cf;%20}%20%3c/style%3e%3c/defs%3e%3cg%3e%3cpath%20class='st0'%20d='M55,10.5h9v3h-9v9h12V7.5h-12v3ZM64,19.5h-6v-3h6v3Z'/%3e%3cpolygon%20class='st0'%20points='69%2016.5%2078%2016.5%2078%2019.5%2069%2019.5%2069%2022.5%2081%2022.5%2081%2013.5%2072%2013.5%2072%2010.5%2081%2010.5%2081%207.5%2069%207.5%2069%2016.5'/%3e%3cpolygon%20class='st0'%20points='95%2010.5%2095%207.5%2083%207.5%2083%2022.5%2095%2022.5%2095%2019.5%2086%2019.5%2086%2016.5%2095%2016.5%2095%2013.5%2086%2013.5%2086%2010.5%2095%2010.5'/%3e%3cpath%20class='st0'%20d='M40,1.5v21h11.6l1.4-1.4v-7.6h0c0,0-1.4-1.5-1.4-1.5l1.4-1.4V2.9l-1.4-1.4h-11.6ZM50,19.5h-7v-6h7v6ZM50,10.5h-7v-6h7v6Z'/%3e%3c/g%3e%3cpath%20class='st1'%20d='M23.1,24L14.7,4.8l-4.9,11.2h3.8l-1.8,4H3.3L12.1,0H2C.9,0,0,.9,0,2v20c0,1.1.9,2,2,2h21.1Z'/%3e%3cpath%20class='st2'%20d='M34,0h-16.8l10.6,24h6.2c1.1,0,2-.9,2-2V2C36,.9,35.1,0,34,0ZM32.5,20h-4V4h4v16Z'/%3e%3c/svg%3e)
