User blog comment:Lord Aspect/SATCLN II/@comment-32783837-20180319184628/@comment-29065906-20180320115158

@Lord Aspect

Graham's Number is \(f_{\omega+1}(64)\)

Rayo's number is practically unreachable with exponentiation.

If you want to reach just graham's number you will have to make a notation that's stronger than at least pentation. And that notation needs to be iterated in a way that it will produce more up arrows.

Eg:

x(n) = n↑nn

xa(n) = n↑xa-1(n)n

Doing that 64 times will get you a number bigger  than graham's number.

Tip: make a notation that uses as a base function something faster than just exponentiation.

Also, it's inevitable to not reach \(\omega\) in the FGH if make a strong enough function. Try understanding array notations or hierarchies, that way it will be much easier to make larger numbers.