OpenAI's GPT-5.4 Pro reportedly solves a longstanding open Erdős math problem in under two hours

Editor's take

OpenAI's latest LLM, GPT-5.4 Pro, has reportedly provided a solution to a previously unsolved Erdős number theory problem within two hours. This development, if verified, moves beyond mere pattern recognition to demonstrate a potential for genuine mathematical insight, a significant step for AI in abstract reasoning domains. The implications extend to fields reliant on complex problem-solving, from scientific research to financial modeling, and challenge the current understanding of AI's capabilities beyond data synthesis.

The true impact hinges on the rigor and verifiability of the purported proof. Independent mathematical validation will be crucial to determine if GPT-5.4 Pro has merely identified a known or easily derivable solution, or if it has truly generated novel mathematical understanding. Future observations should focus on whether this capability is replicable across other complex mathematical disciplines and if similar feats can be achieved by competing models like Google's Gemini or Anthropic's Claude 3.