Pentacthulhugong is equal to E100,000#^^^#100,000 in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian. This number is slightly larger than tethrarxigong.
Etymology[]
The 2 parts of the name, "pentacthulhu-" and "-gong", mean E100#^^^#100 (which in turn, means "pentation" and "Cthulhu"), and the function that multiplies the base value by 1,000 respectively.
Approximations in other notations[]
| Notation | Approximation |
|---|---|
| BEAF | \(\{X,X,1,2\}\ \&\ 100\,000\) (weaker bound)
\(\{X,X,3\}\ \&\ 100\,000 \) (stronger bound) |
| Bird's array notation | \(\{100000,100000[1[1\neg3]2]2\}\) |
| Strong array notation (intended) | s(100000,100000{1{1`2`}}2}2) |
| Hyperfactorial array notation | \(100000![1(1)2]\) |
| Fast-growing hierarchy (with this system of fundamental sequences) | \(f_{\varphi(1,0,0)}(99999)\) \(=f\)\(_{\Gamma_{0}}\)\((99999)\) |
| Hardy hierarchy | \(H_{\Gamma_{0}}(100000)\) |
| Slow-growing hierarchy (with this system
of fundamental sequences) |
\(g_{\psi_0(\Omega_2^{\Omega_2})}(100000)\) |
Sources[]
- ↑ Saibian, Sbiis. 4.3.9 - Extended Cascading-E Numbers Part III. Retrieved 2017-01-13.