10,973 Pages

The Triple-Super Monster-Giant is equal to 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 word "triple" and the number "Super Monster-Giant".

## Approximations

Notation Approximation
BEAF $$\{100,100 ((X \uparrow\uparrow X)^{(X \uparrow\uparrow X)^{(X \uparrow\uparrow X)^{(X \uparrow\uparrow X)^X}}}) 2\}$$[2]
Bird's array notation $$\{100,100 [1 [1 [1 [1 \backslash 2] 1,2 \backslash 2] 2 \backslash 2] 2 \backslash 2] 2\}$$
Fast-growing hierarchy $$f_{\epsilon_0^{\epsilon_0^{\epsilon_0^{\epsilon_0^{\epsilon_0\omega}}}}}(100)$$
Hardy hierarchy $$H_{\epsilon_0^{\epsilon_0^{\epsilon_0^{\epsilon_0^{\epsilon_0^{\epsilon_0\omega}}}}}}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega2}^{\varepsilon_{\Omega2}^{\varepsilon_{\Omega2}^{\varepsilon_{\Omega2}^{\varepsilon_{\Omega2}^\omega}}}})}(100)$$

## Sources

1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2016-07-11.
2. Using particular notation $$\{a,b (A) 2\} = A\ \&\ a$$ with prime b.