Dan Abramov Used AI to Prove a 50-Year-Old Conway Conjecture

I Vibed a Proof of Conway's Conjecture

Dan Abramov spent a month of free time using Claude to produce a Lean proof of Conway's 1976 refinement conjecture for omnific integers. The proof passed mechanical checks on the Palomar registry but hasn't been independently verified by mathematicians. He let Claude pick the field (surreal numbers) and the problem, tying it to the 50th anniversary of Conway's On Numbers and Games. The post doesn't disclose the exact token count, only calling it a 'boatload'.

Why it matters: First-person experiment by Dan Abramov + 50-year-old open conjecture + Lean mechanical verification passed — all three HKR axes hit. Deduction: no independent mathematician review yet, only formal checking passed; real mathematical significance TBD. 82 is high-quality featured...