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OpenAI
How a reasoning model cracked an 80-year-old math problem - the OpenAI Podcast Ep. 20
Jun 4, 2026
Key Points
- 1.OpenAI's reasoning model solved a significant math problem.
- 2.The model's capabilities evolved from immediate responses to prolonged reasoning.
- 3.Achievements include winning gold medals in math competitions.
Summary
Breakthrough in Math Problem Solving
The OpenAI reasoning model recently achieved a breakthrough by proving aspects of an Erdős conjecture, which had stood unresolved for decades. This accomplishment highlights the model's advanced reasoning capabilities and marks a significant achievement in the field of AI.
Transformation in Model Reasoning
Previously, models would provide immediate answers without in-depth reasoning, but the introduction of test time compute allows them to 'think longer' before outputting an answer. This shift has enabled models to tackle complex math problems that were previously out of reach.
Successful Math Competitions
The reasoning model's success is underscored by its performance in prestigious competitions like the International Math Olympiad (IMO). Members of the OpenAI research team discussed how their model was able to achieve gold medals, a benchmark that many thought was years away.
Future Challenges in AI Reasoning
Despite the progress made, challenges remain, such as the P vs NP problem, which may require new theories to solve. Researchers at OpenAI are excited about ongoing advancements and the potential for future breakthroughs in mathematics.
Worth watching for
This video is for individuals interested in the intersection of artificial intelligence and mathematics, particularly those curious about advancements in reasoning models.