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The double-grand tethriterator is equal to E100#^^#>#100#3 in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

It is also called Great and Terrible Tethrathoth ba'al by Aarex Tiaokhiao. It is E100#^^#^#100#3 in Nested Cascading-E Notation.[2]

## Contents

### Etymology

The name of number is based on the word "Ba'al" and the number Great and Terrible Tethrathoth.

### Approximations in other notations

Notation Approximation
BEAF $$\{100,3,2 (X \uparrow\uparrow X^2) 2\}$$[3]
Bird's array notation $$\{100,3,2 [1 \backslash 1,2] 2\}$$
X-Sequence Hyper-Exponential Notation $$100\{(X>X)+1\}4$$
Fast-growing hierarchy $$f_{\varepsilon_\omega}(f_{\varepsilon_\omega}(f_{\varepsilon_\omega}(100)))$$
Hardy hierarchy $$H_{\varepsilon_\omega 3}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega\vartheta(\varepsilon_{\Omega\omega})})}(100)$$

### Sources

1. 4.3.3 extended Cascading-E notation by Sbiis Saibian
2. Aarex's Large Numbers
3. Using particular notation $$\{a,b (A) 2\} = A \&\ a$$ with prime b.