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Not to be confused with tethrato-godheptol.

Tethragodheptol (also called as tethrathoth-ad-godhathorium) (formerly tethragodeptathol) 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 number "tethrathoth" and the number "godheptol".

## Approximations in other notations

Notation Approximation
BEAF $$\{100,100(X \uparrow\uparrow X*X^{X^{X^{X^{X^{X^X}}}}}) 2\}$$[2]
Bird's array notation $$\{100,100 [1[1[1[2]2]2]2 \backslash 2] 2\}$$
Hyperfactorial array notation $$101![1,[1,[1,[1,[1,[1,1,2,2],1,3],1,4],1,5],1,1,2],[1],1,2]$$
Fast-growing hierarchy $$f_{\varepsilon_0^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}}}(100)$$
Hardy hierarchy $$H_{\varepsilon_0^{\varepsilon_0^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}}}}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega 2}^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^\omega}}}}}})}(100)$$

## Sources

1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2015-12-11.
2. Using particular notation $$\{a,b (A) 2\} = A \&\ a$$ with prime b.