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Hyper-thraeltotholfact is equal to E100#^#^(#^#^###*#)100 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian. This number belongs to the Godtertol regiment.

Approximations[]

Notation Approximation
Bowers' Exploding Array Function {100,100((0,0,0,1)0,1)2}
Bird's array notation {100,100[1[1,1,1,2]1,2]2}
X-Sequence Hyper-Exponential Notation 100{X^X^(X^X^3*X)}100
Fast-growing hierarchy \(f_{\omega^{\omega^{\omega^{\omega^{\omega^3} +1} } } }(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^3} +1} } } } }(100)\)
Slow-growing hierarchy \(g_{\psi_0(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^3} +1} } } } )}(100)\) (using Buchholz's function)

Sources[]

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