OpenAI open-sources Lean repo where GPT-6-Astra proves prime gaps of at most 186
scaling01 · x · 2026-09-04
OpenAI released a new repository containing a Lean formalization produced by GPT-6-Astra proving that there are infinitely many pairs of consecutive primes whose distance is at most 186.
Quoted user @AcerFur added context: the result was made conditional on Deligne-type estimates and numerics because formalising the former requires substantial machinery relevant to proving RH for varieties over finite fields, which was not the focus of this work.
Related event: OpenAI Repos Show GPT-6-Astra Proving Prime Gaps ≤186 in Lean(9 posts)→
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