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Not to be confused with googoltriplexiduex.

Googoltriplexidex is equal to E100#4#2 = E100#googoltriplex = 101010...10100 (googoltriplex 10's) in Hyper-E notation.[1] The term was coined by Sbiis Saibian. This number belongs to the grangol regiment.

Approximations[]

Notation Lower bound Upper bound
Arrow notation \(10 \uparrow\uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 101\) \(10 \uparrow\uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 102\)
Chained arrow notation \(10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow 101)))) \rightarrow 2\) \(10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow 102)))) \rightarrow 2\)
BEAF & Bird's array notation \(\{10,\{10,\{10,\{10,\{10,101\}\}\}\},2\}\) \(\{10,\{10,\{10,\{10,\{10,102\}\}\}\},2\}\)
Hyperfactorial array notation \(((((69!)!)!)!)!1\) \(((((70!)!)!)!)!1\)
Fast-growing hierarchy \(f_4(f_2^{4}(324))\) \(f_4(f_2^{4}(325))\)
Hardy hierarchy \(H_{(\omega^3)+\omega^2 \times 4}(324)\) \(H_{(\omega^3)+\omega^2 \times 4}(325)\)
Slow-growing hierarchy \(g_{\varepsilon_{\omega^{\omega^{\omega^{\omega^{\omega^2}}}}}}(10)\) \(g_{\varepsilon_{\omega^{\omega^{\omega^{\omega^{\omega^2}}}}}}(11)\)

Sources[]

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