Not to be confused with grand thraelhathor.

The grand thraelgathor is equal to E100#^#^###100#2 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Approximations in other notations

Notation Approximation
BEAF \(\{100,3,2 (0,0,0,1) 2\}\)
Bird's array notation \(\{100,3,2 [1,1,1,2] 2\}\)
Hyperfactorial array notation \(thraelgathor![1,[1,[1,1,4],1,2],1,3]\)
Fast-growing hierarchy \(f_{\omega^{\omega^{\omega^3}}}^2(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{\omega^3}}}2}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega^{\Omega^{(\Omega^2)\vartheta(\Omega^{\Omega^{(\Omega^2)\omega}})}})}(100)\)


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