Last night, GPT-5 Pro showcased its formidable prowess in mathematical problem-solving by tackling a complex issue from square one, without recourse to any pre-existing human methodologies. The problem centered on refining the step size conditions of the gradient descent method within the realm of smooth convex optimization, with GPT-5 Pro elevating the established lower bound from 1/L to 1.5/L, revealing an innovative problem-solving strategy. This groundbreaking achievement signifies a thrilling milestone, affirming that AI has now attained the capability to resolve cutting-edge mathematical challenges faced by humans. The President of OpenAI acknowledged this remarkable feat, expressing optimism that AI holds the potential to revolutionize the landscape of mathematical research. Experts have rigorously validated the correctness of the AI's proof, reinforcing its advanced mathematical competencies.