Permalink Submitted by Anonymous on September 4, 2014

Graham’s number is so mind boggling that I have reread this article a few times. Doing so today I see I don’t quite understand the Arrow notation. 3^^3=3^(3^3)=3^27. OK
now the question is how does the expansion for different numbers work. if 4^^3=4^(4^4), then is 3^^4=3^((3^3)^3)?
but isn't that 3^(3^(3^3))= 3^^^^3 ?

Basically I thought the number of up arrows controlled the expansion, but now I think I’m wrong.

I’m posting rather than email because i thought others might have the same confusion.

## Graham’s number is so mind

Graham’s number is so mind boggling that I have reread this article a few times. Doing so today I see I don’t quite understand the Arrow notation. 3^^3=3^(3^3)=3^27. OK

now the question is how does the expansion for different numbers work. if 4^^3=4^(4^4), then is 3^^4=3^((3^3)^3)?

but isn't that 3^(3^(3^3))= 3^^^^3 ?

Basically I thought the number of up arrows controlled the expansion, but now I think I’m wrong.

I’m posting rather than email because i thought others might have the same confusion.