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The Great and Terrible Tethrathoth (also called grand tethriterator[1]) is equal to E100#^^#>#100#2 = E100(...(#^^#)^^#)^^#)...)^^#100 (with tethrathoth ba'al ^^#'s) in Extended Cascading-E Notation.[2][3] The term was coined by Sbiis Saibian.

## Etymology Edit

The name of this number is based on the words "great", "terrible" and the number "tethrathoth".

## Approximations in other notations Edit

Notation Approximation
BEAF $$\{100,\text{tethrathoth ba'al} (X \uparrow\uparrow (X^2)) 2\}$$[4]
Bird's array notation $$\{100,\text{tethrathoth ba'al} [1 \backslash 1,2] 2\}$$
X-Sequence Hyper-Exponential Notation $$100\{X>X\}100\{X>X\}100$$
Fast-growing hierarchy $$f_{\epsilon_\omega}(f_{\epsilon_\omega}(100))$$
Hardy hierarchy $$H_{\epsilon_\omega 2}(100)$$
Nested Factorial Notation $$100!^2[1[2]1,2]$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega+\omega})}(g_{\vartheta(\varepsilon_{\Omega+\omega})}(100))$$

## Sources Edit

1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2016-03-19.
2. 4.3.5 Cascading-E Numbers by Sbiis Saibian
3. Sbiis Saibian's Ultimate Large Numbers List - Part III
4. Using particular notation $$\{a,b (A) 2\} = A\ \&\ a$$ with prime b.