Googology Wiki
Advertisement
Googology Wiki

Grand godtothol is equal to E100#^#^#^#100#2 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian. This number belongs to the godtothol regiment.

Approximations in other notations

Notation Approximation
BEAF \(\{100,\textrm{godtothol} ((1) 1) 2\}\)
\(\approx \{100,3,2 ((1) 1) 2\}\)
Bird's array notation \(\{100,\textrm{godtothol} [1 [2] 2] 2\}\)
\(\approx \{100,3,2 [1 [2] 2] 2\}\)
Hyperfactorial array notation \(100![1,[1,[1,1,\textrm{godtothol}],1,2],1,3]\)
Fast-growing hierarchy \(f_{\omega^{\omega^{\omega^\omega}}}^2(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{\omega^\omega}}} 2}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega^{\Omega^{\Omega^{\vartheta(\Omega^{\Omega^{\Omega^\omega}})}}})}(101)\)

Sources

  1. Saibian, Sbiis. 4.3.5 Cascading-E NumbersOne to Infinity. Retrieved 2016-09-09.
Advertisement