The Pentfactor is equal to 100!5 using Extensible ! Notation. The term was coined by Yabuszko[1]. This number is comparable to gigol and gorgegol

Visual representation of pentfactor

Etymology


The name of this number is based on Greek prefix "penta-" and the factor.

Approximations

Notation Approximation
Arrow Notation \(82\uparrow\uparrow\uparrow\uparrow\uparrow101\)
Chained Arrow Notation \(82 \rightarrow 101 \rightarrow 5\)
BEAF \(\{82,101,5\}\)
Hyper-E notation

\(E160\#100\#\#4\)

Hyperfactorial Array Notation \(100!4\)
Strong Array Notation \(s(82,100,5)\)
Nested Factorial Notation \(100![5]\)
Fast-growing hierarchy \(f_6(100)\)
Hardy hierarchy \(H_{\omega^6}(100)\)
Slow-growing Hierarchy \(g_{\varphi(4,0)}(100)\)

Sources

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