User blog comment:TheMostAwesomer/Some things/@comment-24920136-20141117030011

Graham's number is a step forwards from hyper-operators

Going from hyper-G(64) to hyper-G(65) is weaker than say

Going from Graham(64) to Graham(65) (which is doing one more step in the sequence leading to graham's number)

In terms of FGH

hyper-G(n) is like this f_{f_{ ω+1}(64)}(n)

while Grahams(n) where n is the nth step in the sequence

is like f_{ ω+1}(n)