User blog:Nayuta Ito/The World's Saladdest Number

Croutonillion has 2067 steps. Or some people can say 2068 because the last definition ($$10^{3X+3}$$) is under the step 2067.

I will write saladder number. My goal is 3000 steps.

Start with a number three:

Let function C(n) $$C(n)= \underbrace{C(n-1) \uparrow\uparrow\cdots\uparrow\uparrow C(n-1)}_ {\underbrace{C(n-2) \uparrow\uparrow\cdots\uparrow\uparrow C(n-2)}_ {\underbrace{\cdots}_ {\underbrace{C(2) \uparrow\uparrow\cdots\uparrow\uparrow C(2)}_ {\underbrace{C(1) \uparrow\uparrow\cdots\uparrow\uparrow C(1)}_ {n}}}}}$$ And C(1)=3

i. Repeat 1-n X times (n is the number of previous sentence) 2i. Repeat 1-n and i X times 3i. Repeat 1-n and i-2i X times And so on... (X+1)i. Repeat 1-n and i-Xi X times
 * 1) C(X)
 * 2) $$C^X(X)$$
 * 3) Let function C(x,y):$$C(x,y)=C(x-1,C(x-1,\cdots (y times)C(x-1,y))\cdots))$$
 * Also, C(0,x)=C(x)
 * That means $$C^a(a)=C(1,a)$$
 * Calculation for number 3 is C(X,X)
 * 1) Let function : $$C(x_1,x_2,...,x_n)=C(x_1-1,C(x_1-1,\cdots (x_2 times)C(x_1-1,x_2,...x_n))\cdots))$$
 * Also, C(0,anything)=C(anything)
 * Calculation for number 4 is C(X,X,... (X times) ...,X)
 * 1) Repeat 1-4 X times
 * 2) Repeat 1-5 X times
 * 3) Keep going on until the sentence becomes "Repeat 1-X X times"
 * 4) Calculation for number 8 is "Set R" which is the following sentences: