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OpenAI’s AI Achieves Mathematical Breakthrough by Solving Erdős Problem
This proof is an important milestone for the math and AI communities. It marks the first time that a prominent open problem, central to a subfield of mathematics, has been solved autonomously by AI. It also demonstrates the depth of reasoning these systems now support.
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The proof is available here. The companion paper by leading external mathematicians is available here. You can find an abridged version of the model’s chain of thought here .
Source: https://mjtsai.com/blog/2026/05/25/openai-models-proof-of-erds-unit-distance-problem/
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