Core Viewpoint - The article discusses the Erdős Problems website, which focuses on mathematical research and problem-solving, particularly related to the famous mathematician Paul Erdős. It serves as a platform for researchers and enthusiasts to propose, discuss, and solve various mathematical problems across different fields such as number theory, combinatorics, and graph theory [1]. Group 1 - The Erdős Problems website collects various mathematical problems proposed by Erdős, covering diverse areas like number theory, combinatorics, and graph theory [1]. - Independent researcher Wouter van Doorn provided a counterexample to Erdős Problem 367, relying on a congruence identity he believes to be valid [5]. - The problem was later submitted to Gemini 2.5 Deep Think by renowned mathematician Terence Tao, who received a complete proof from the AI in about ten minutes [9]. Group 2 - Terence Tao manually converted the AI-generated proof into a more basic form within half an hour, indicating that the proof could be formalized and verified in Lean [11]. - Two days later, mathematician Boris Alexeev used the Harmonic Aristotle tool to complete the Lean formalization of the problem, taking two to three hours for the process [12]. - Terence Tao has been exploring the application of AI tools in mathematics, contributing to various research and proofs, including a recent paper on the topic [13].