- Not to be confused with googolquadriplexiduex.
Googolquadriplexidex is equal to E100#5#2 = E100#googolquadriplex = 101010...10100 (googolquadriplex 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 | \(10 \uparrow\uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 101\) | \(10 \uparrow\uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 102\) |
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 | \(\{10,\{10,\{10,\{10,\{10,\{10,101\}\}\}\}\},2\}\) | \(\{10,\{10,\{10,\{10,\{10,\{10,102\}\}\}\}\},2\}\) |
Hyperfactorial array notation | \((((((69!)!)!)!)!)!1\) | \((((((70!)!)!)!)!)!1\) |
Fast-growing hierarchy | \(f_3(f_2^{5}(324))\) | \(f_3(f_2^{5}(325))\) |
Hardy hierarchy | \(H_{(\omega^3)+\omega^2 \times 5}(324)\) | \(H_{(\omega^3)+\omega^2 \times 5}(325)\) |
Slow-growing hierarchy | \(g_{\varepsilon_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^2}}}}}}}(10)\) | \(g_{\varepsilon_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^2}}}}}}}(11)\) |
Sources[]
- ↑ Sbiis Saibian, Hyper-E Numbers - Large Numbers