11,600
pages

Grand grand grand grand grand tethrathoth (also called five-ex grand tethrathoth[1]) is equal to E100#^#^#...#^#^#100 (grand grand grand grand tethrathoth #'s) = E100#^^#100#6 in Extended Cascading-E Notation.[2][3] The term was coined by Sbiis Saibian.

## Etymology

The name of this number is based on the word "grand" and the number "grand grand grand grand tethrathoth".

## Approximations in other notations

Notation Approximation
BEAF $$\{100,7,2(X\uparrow\uparrow X)2\}$$[4]
Bird's array notation $$\{100,7,2[1 \backslash 2] 2\}$$
Hyperfactorial array notation $$(((((100![1,1,1,1,2])![1,1,1,1,2])![1,1,1,1,2]) \\ ![1,1,1,1,2])![1,1,1,1,2])![1,1,1,1,2]$$
Fast-growing hierarchy $$f_{\varepsilon_0}^6(100)$$
Hardy hierarchy $$H_{\varepsilon_0 6}(101)$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega+\vartheta(\varepsilon_{\Omega+\vartheta(\varepsilon_{\Omega+\vartheta(\varepsilon_{\Omega+\vartheta(\varepsilon_{\Omega+\vartheta(\varepsilon_{\Omega+1})})})})})})}(100)$$

## Sources

1. Sbiis Saibian, 4.3.7 Extended Cascading-E Numbers Part I
2. Sbiis Saibian, 4.3.5 Cascading-E Numbers
3. Sbiis Saibian's Ultimate Large Numbers List - Part III
4. Using particular notation $$\{a,b (A) 2\} = A \&\ a$$ with prime b.