11,329
pages

Gugold-ex-grand tethrathoth is equal to E100#^^#100#(1+E100##100) in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

## Etymology

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

## Approximations

Notation Approximation
BEAF $$\{100,\text{gugold}+2,2(X\uparrow\uparrow X)2\}$$[2]
X-Sequence Hyper-Exponential Notation $$100\{(X\uparrow \uparrow X)+1\}100\{100\}101$$
Bird's array notation $$\{100,\text{gugold}+2,2[1\backslash2]2\}$$
Hyperfactorial array notation $$\text{gugold}![2,1,1,1,2]$$
Fast-growing hierarchy $$f_{\varepsilon_0+1}(\text{gugold}+1)$$
$$\approx f_{\varepsilon_0+1}(f_{\omega}(100))$$
Hardy hierarchy $$H_{\varepsilon_0\omega}(\text{gugold}+1)$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega2})}(\text{gugold}+1)$$

## Pronunciation

It is pronounced like so:

## Sources

1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2015-12-29.
2. Using particular notation $$\{a,b (A) 2\} = A \&\ a$$ with prime b.