Solving 20 Erdős Problems with 20 Codex Accounts Running in Parallel

Star Fleet is an AI system that solves open mathematics problems using up to 20 parallel AI agents (called "starships"), each running GPT-5.6 instances on dedicated servers with access to vast computational resources, Lean 4 theorem libraries, and specialized solvers. The system has already solved at least 27 problems, including Erdős Problem #123, which asks whether every sufficiently large integer can be expressed as a sum of distinct powers of three pairwise-coprime integers without divisibility constraints. The solution was formalized in Lean 4, demonstrating the system's ability to tackle some of mathematics' most difficult open problems.