OpenAI's GPT-5.4 Pro has solved a longstanding open Erdős problem in 80 minutes, with mathematician Terence Tao confirming it as a meaningful mathematical contribution.
OpenAI's latest AI model, GPT-5.4 Pro, has tackled one of mathematics' persistent challenges by solving an open Erdős problem—a class of unsolved problems posed by the prolific mathematician Paul Erdős.
The model completed the proof in 80 minutes, substantially faster than traditional human-driven approaches. Terence Tao, a Fields Medalist and prominent figure in mathematics, validated the result as a meaningful contribution to the field.
Erdős problems are notoriously difficult mathematical puzzles that have resisted solution for decades. The fact that an AI system solved one marks a notable milestone in computational mathematics and artificial intelligence capability.
The achievement demonstrates GPT-5.4 Pro's advanced reasoning capabilities, suggesting that large language models are becoming viable tools for mathematical discovery rather than mere assistants. The speed of resolution—under two hours—highlights the potential efficiency gains AI can bring to complex problem-solving.
This development follows growing interest in using AI systems for scientific research. Previous iterations of large language models showed promise in mathematical reasoning, but GPT-5.4 Pro appears to represent a significant leap in capability.
Tao's endorsement carries weight in the mathematical community, as his recognition of the solution's validity lends credibility to the result. This combination of AI capability and expert verification establishes a potential template for future AI contributions to mathematics.
The implications extend beyond this single problem. Success in solving open Erdős problems suggests that AI systems may accelerate progress on other longstanding mathematical questions, potentially reshaping how mathematical research is conducted.
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