GPT-5.6 Verifies 30-Year Convex Optimization Bound
An LLM just spent 148 minutes in a single session and verified a mathematical bound in convex optimization that's been open for thirty years. That's not a "helpful assistant" summarizing a PDF. It's a machine solving a problem that humans couldn't crack for three decades. I've spent years watching AI hype cycles move from "it can write a poem" to "it can do your job," but this feels different. Most of the time, these models are just guessing the next token based on a massive pile of internet data. But when you're dealing with a rigorous mathematical proof, there's no room for "hallucinations." It's either right or it's wrong. The real question is whether this was a fluke of a very specific prompt or if we've finally hit a wall where human intuition is simply slower than a long-context window. I want to look at how the session actually unfolded and whether the logic holds up under scrutiny. The 30...