- Not to be confused with googolduplexiduduex.
Googolduplexidudex is equal to E100#3#3 using 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 | \(100 \uparrow\uparrow 100 \uparrow\uparrow 10 \uparrow 10 \uparrow 10 \uparrow 100\) | \(100 \uparrow\uparrow 100 \uparrow\uparrow 10 \uparrow 10 \uparrow 10 \uparrow 101\) |
| Chained arrow notation | \(100 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow 100))) \rightarrow 2) \rightarrow 2\) | \(100 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow 101))) \rightarrow 2) \rightarrow 2\) |
| BEAF | \(\{100,\{10,\{10,\{10,\{10,100\}\}\},2\},2\}\) | \(\{100,\{10,\{10,\{10,\{10,101\}\}\},2\},2\}\) |
| Hyperfactorial array notation | \(((((70!)!)!)!1)!1\) | \(((((71!)!)!)!1)!1\) |
| Bird's array notation | \(\{100,\{10,\{10,\{10,\{10,100\}\}\},2\},2\}\) | \(\{100,\{10,\{10,\{10,\{10,101\}\}\},2\},2\}\) |
| Fast-growing hierarchy | \(f_3(f_3(f_2^3(324)))\) | \(f_3(f_3(f_2^3(325)))\) |
| Hardy hierarchy | \(H_{\omega^32+\omega^23}(324)\) | \(H_{\omega^32+\omega^23}(325)\) |
| Slow-growing hierarchy | \(g_{\varepsilon_{\varepsilon_{\omega \uparrow\uparrow 4}}}(100)\) | \(g_{\varepsilon_{\varepsilon_{\omega \uparrow\uparrow 4}}}(101)\) |
Sources[]
- ↑ Saibian, Sbiis. Hyper-E Numbers. Retrieved 2016-07-19.