Prime Gaps at Most 186

Context - according to Wikipedia [0], just a few days ago someone posted a proof of a bound of 240 [1].

[0] https://en.wikipedia.org/wiki/Twin_prime [1] https://arxiv.org/abs/2608.31126

Related ongoing thread:

GPT-6 Astra - https://news.ycombinator.com/item?id=49554643

(see also https://news.ycombinator.com/item?id=49555621 from there)

see also https://github.com/openai/LongGapsBetweenPrimes