User blog:All Things Logical/How to generate big numbers

There is an easy way to generate very large numbers. First we need to define I(x).

I(x)
To define I(x) we must define II(x) and III(x).

III(x) is defined like so:

We define S1 as x^(x*x)

We define S2 as so: y = x^(x*x), and S2 is y^(y*y)

We define S3 as so: z = y^(y*y), and S3 is z^(z*z)

etc...

III(x) = Sx

II(x) = S(S(S(S(S(...(Sx)..) with x S's = Ux

I(x) = U(U(U(U(U(...(Ux)..) with x U's

​A(x)
This is the real deal. A(x) is the function that will produce very large numbers. A(x) is doing this S1 S2 S3 process x + 10^100x^(1000x^2)^(10000x^3)^... all the way until one of the terms has x^x^x^x^x (5 x's) times. This will be a fairly big number.