User blog comment:Swooped me in one hit/froggillion/@comment-29310326-20170214222126/@comment-30754445-20170214232832

Compared to a googolplex? A little bigger than the Graham. That is exactly why it is considered "a naive extension".

Remember that a googolplex is less than 10↑↑4. Every arrow you add, is another whole level of numbers. Then there's the trick of "you see this number? That will be the number of arrows in the next number", which is a completely new ball game. This trick, which gives rise to the g-function, leaves numbers like the googolplex completely in the dust.

You do that 64 times, and that's Graham.

And now you apply the same function again. Okay. After all the progress we've already made, this doesn't sound very impressive, does it?

(Actually, Graham's number is small enough for the "doing it twice" trick to make some difference (in my notation, it gets you from L2.0175 to L3.0175). But still - it isn't a big difference)