The centurion is equal to E100#{#^#}#100 = E100#{##### ... #####}#100 (100 consecutive #'s) in Hyper-Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.
The number was named after the Roman army officer.
Approximations in other notations
| Notation | Approximation |
|---|---|
| Bird's array notation | \(\{100,99 [1 [1,2 \neg 3] 2] 2\}\) |
| Fast-growing hierarchy | \(f_{\varphi(\omega^\omega,0,0)}(99)\) |
| Hardy hierarchy | \(H_{\varphi(\omega^\omega,0,0)}(100)\) |
Sources
- ↑ Saibian, Sbiis. 4.3.11 - Forging Extended Cascading-E Numbers Part V. Retrieved July 23, 2014.
