Comment by nhatcher
10 hours ago
Catalan's constant is irrational!!!
That is a big one. Exciting times to be alive. Regrettably I can't understand the proof at this point.
There was a (flawed) proof submitted a month back:
https://arxiv.org/abs/2609.04176
I wonder if it gave part of the inspiration.
Come on, these are easy. You assume it can be expressed as p/q where p,q are integers such that GCD(p,q)=1. Then you derive a contradiction.
/s
TBH, I'm both happy and very sad I didn't do a PhD in math (or at all).