The goliath is equal to E100#^^^^^^^^^^#100 = E100#{10}#100 in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Approximations in other notations

Notation Approximation
BEAF \(\{X,X,1,9\}\ \&\ 100\)
Bird's array notation \(\{100,9 [1 [2\neg3] 2] 2\}\)
Hyperfactorial array notation \(100![1] w(1)/8\)
Fast-growing hierarchy \(f_{\varphi(8,0,0)}(99)\)
Hardy hierarchy \(H_{\varphi(8,0,0)}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega_{2}8)}(100)\)


  1. Saibian, Sbiis. 4.3.4 - Forging Extended Cascading-E Numbers Part II. Retrieved June 2014.
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