GPT-5.6 Reportedly Helped Resolve a 30-Year Convex Optimization Problem

A recent claim circulating online suggests that GPT-5.6, OpenAI's advanced language model, contributed to closing a longstanding gap in convex optimization, a highly specialized area of mathematics unsolved for roughly three decades. The development has sparked discussion in developer and research communities about the broader capabilities of large language models beyond routine code generation. Observers note that if accurate, the breakthrough points to AI's potential for genuine conceptual reasoning and novel hypothesis generation, not just pattern recognition. The incident has also renewed interest in prompt engineering as a critical skill, since the quality of the prompt used is believed to have played a key role in guiding the model toward the result. The claim remains a subject of debate, with many questioning whether this represents a reproducible capability or an exceptional one-off outcome.