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Posted by nsoonhui 1 day ago

GPT-6 Astra has made a major breakthrough in the Goldbach Conjecture(twitter.com)
16 points | 6 comments
diskmuncher 23 hours ago|
Have only seen Chinese language or Chinese-related explanations. I am not a mathematician. But the case for multiples of 4 is at a junior IMO level (number theory) and, I agree, does seem to demonstrate "insight".

https://eu.36kr.com/en/p/3992525310802946 https://www.youtube.com/watch?v=AplpSdUub5s

Topology1 1 day ago||
Genuinely have never heard of this Liousville version, and cannot find any mention of it outside of articles written in the last few days about this proof.
nateb2022 1 day ago|
I found these from 2024:

  - https://arxiv.org/pdf/2412.17199 
  - https://academic.oup.com/imrn/article/2024/16/11865/7704606
and re the Liouville function: https://en.wikipedia.org/wiki/Liouville_function
Topology1 1 day ago||
Thanks. I couldn't find anything in literature suggesting this case was previously worked on. I'm also a pure math PhD candidate so I guess I'm just coping..
delfinom 1 day ago|
O Lord, the next wave of desperation, now they all have to "solve" some challenging math problem.

Can't wait to see how late to the party Google is with this one later on. Lol

Ohentis 1 day ago|
I mean... Google started the party. But the biggest and most famous problem solved so far was done by one of openai's so they aren't jumping on the bandwagon by doing it again. And also this isn't openai doing it, just someone using one of their models.