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Geegolding is equal to \(10\uparrow\uparrow\uparrow\uparrow500\). The term was coined by ARsygo.[1]

SURUX EDRIPT calls this number penticta-petaxis.[2]

Approximations[]

Notation Approximation
Bowers' Exploding Array Function \(\{10,500,4\}\) (exact)
Bird's array notation \(\{10,500,4\}\) (exact)
Chained arrow notation \(10\rightarrow500\rightarrow4\) (exact)
Copy notation \(100[[[[500]]]]\)

\(=100[4,500]\)

DeepLineMadom's Array Notation \(10[6]500\) (exact)
Hyper-E notation \(\text{E}1\#1\#1\#500\) (exact)
Graham Array Notation \([10,500,4]\) (exact)
Hyperfactorial array notation \(502!3\)
Steinhaus-Moser Notation \(500[6]\)
Strong array notation \(\text{s}(10,500,4)\) (exact)
X-Sequence Hyper-Exponential Notation \(10\{4\}500\) (exact)
Fast-growing hierarchy \(f_5(500)\)
Hardy hierarchy \(H_{\omega^5}(500)\)
Slow-growing hierarchy \(g_{\eta_0}(499)\)

Sources[]

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