Comment by QuesnayJr

There isn't really anything better. The Notices of the AMS has one feature article each issue, but those are sometimes too technical.

Anyway, this article seems fine to me. The "exponentiation" comment seems like a bizarre misreading. The article is just trying to explain how big BB(6) is. Before that, it explains what BB(n) is. To think it's solely about exponentiation you have to skip that entire section.