Prime Gaps at Most 186

simonpure 49 points 10 comments September 03, 2026
github.com · View on Hacker News

Discussion Highlights (7 comments)

ks2048

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

dang

Related ongoing thread: GPT-6 Astra - https://news.ycombinator.com/item?id=49554643 (see also https://news.ycombinator.com/item?id=49555621 from there)

topsrek

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

tusimi

who knew the primary utility of pure math would be to juice pre-ipo valuations ¯\_(ツ)_/¯

quuxplusone

What is this AI-generated gobbledygook actually trying to say? That there are infinitely many pairs of primes p,q with q=p+186? The first equation under "The result" seems to be saying they found an infinite sequence of primes whose density is forever greater than 1/186, which doesn't match my understanding of how prime density works.

ramon156

blegh, both the code comments and readme reek of verbose claude puke. > The registered Lean build passed without errors or warnings. thanks. i like it when my proofs do not error. Edit: just saw this was published under openai, yikes.

marysminefnuf

??? this is unreadable lol. i feel like i understand the math behind it but the writing is so unintelligible that i dont even care about the results.

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