But who can give the best names to big numbers? Probably Jonathan Bowers.

https://googology.fandom.com/wiki/Jonathan_Bowers

http://www.polytope.net/hedrondude/scrapers.htm

But who can _prove_ the biggest number https://github.com/codyroux/name-the-biggest-number

A(G,G)

https://xkcd.com/207/

The number that can only be named with too many words.

This took me 15 s:

9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9^9

Read the article and take another 15s. That was one of the naive examples he gives near the start.

You win

Maybe "Googolplex!" ?

Nope. Gotta use an infinite nested series of Busy Beaver functions, or something like that.