GPT-6-Astra's Lean formalization proves prime gaps bound tightened to 186
burny_tech · x · 2026-09-04
A new OpenAI repo contains a Lean formalization by GPT-6-Astra proving there are infinitely many pairs of consecutive primes with a gap of at most 186.
Weeks earlier, Jack Kleeman and Claude had formalized Goldston's result at 188, encountering similar difficulties. The new result looks like a wink to that prior work (or a funny numerical coincidence), tightening the bound from 188 to 186.
Related event: GPT-6-Astra Proves Prime Gaps ≤186 in Lean as Records Fall in Days(22 posts)→
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