Machine Heart

Aug 16, 2026 · Artificial Intelligence

AI Cracks Sendov’s Conjecture and Uncovers a Stronger Result Highlighted by Terence Tao

With GPT‑5.6 Pro assistance, a startup CEO produced a 90 000‑line Lean 4 formal proof of Sendov’s conjecture, which Terence Tao later streamlined to 15 000 lines and showed also resolves the stronger Phelps‑Rodriguez conjecture, illustrating a new paradigm of AI‑human collaboration in mathematics.