Where are those goalposts? I'm sure I put them here somewhere (nickdrozd.github.io)

OpenAI's latest AI model has reportedly made a significant stride in mathematics by overthrowing a long-standing conjecture known as the unit distance problem. Originally proposed by mathematician Paul Erdős in 1946, this problem sought the optimal arrangement of points in a plane to maximize pairs exactly one unit apart. Erdős's square grid method was believed to be the best approach, but the AI introduced a new method that does not degrade with increasing numbers of points, suggesting a breakthrough in mathematical techniques. This development is noteworthy for the AI/ML community as it hints at the potential for AI to contribute to the field of mathematics in novel ways, challenging traditional views on intelligence and creativity. Importantly, however, the result is not a proof of optimality for the new method, leaving the unit distance problem itself unsolved. This raises intriguing philosophical questions about the nature of progress in both mathematics and AI, as some argue the practical significance of the result could lead to future applications, despite its current lack of direct commercial value. As the conversation evolves around AI's capabilities, this incident illustrates the shifting goals and expectations within the community, as the implications of AI-generated mathematical insights remain to be fully realized.