OpenAI Releases Conditional Lean Formalization for Prime Gaps at Most 186

Pseudonymous commentator Lisan al Gaib posted on X about a GitHub repository from OpenAI titled Prime Gaps at Most 186 that contains a conditional Lean formalization produced by GPT-6-Astra. The post claims the formalization shows infinitely many consecutive primes differ by at most 186. Weijie Su announced on X that GPT-6-Astra produced the formalization and linked PDFs detailing factorization conditions and Maynard-Tao sieve weights. Mathematician Levent Alpöge noted an earlier formalization at 188; Weijie Su's post referenced prior work at 246. The repository describes the formalization as conditional and includes a numerical certificate. Replies on X praised the advance while others questioned whether the conditional status overstates the claim.