- 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[]
- ↑ Sbiis Saibian, Hyper-E Numbers - Large Numbers