The tethra-ennaelgathor is equal to E100(#^^#)^#^#^#9 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 "ennaelgathor".
Approximations in other notations
| Notation | Approximation |
|---|---|
| BEAF | \(\{100,100(X \uparrow\uparrow X*X^{X^9}) 2\}\)[2] |
| Bird's array notation | \(\{100,100 [1,1,1,1,1,1,1,1,1,2 \backslash 2] 2\}\) |
| Hyperfactorial array notation | \(100![1,[1,[1,1,10],1,1,2],[1],1,2]\) |
| Fast-growing hierarchy | \(f_{\varepsilon_0^{\omega^{\omega^9}}}(100)\) |
| Hardy hierarchy | \(H_{\varepsilon_0^{\varepsilon_0^{\omega^{\omega^9}}}}(100)\) |
| Slow-growing hierarchy | \(g_{\vartheta(\varepsilon_{\Omega2}^{\Omega^{\Omega^8\omega}})}(100)\) |
Sources
- ↑ Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part I. One to Infinity. Retrieved 2017-02-15.
- ↑ Using particular notation \(\{a,b (A) 2\} = A\ \&\ a\) with prime b.