Illustration of the planar unit distance problem. Credit: Noga Alon, et al., 2026, OpenAI
Introduction
By several measures, the past year has been a banner year for advances in artificial intelligence in many fields, and perhaps most remarkably in mathematics. While these software systems still have many shortcomings, and some perform significantly better than others, nonetheless the overall picture has been one of rather stunning progress.
A sample of recent results
In May 2026, a model developed by OpenAI found a counter-example to a conjecture first proposed by legendary mathematician Paul Erdős in 1946 (see Here or Here for
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