The gaspgolennex is equal to E100#100#100#100#100#100#100#1#1#2 using Hyper-E notation.[1] The term was coined by Sbiis Saibian.
Etymology
The name of the number is based on suffix -ennex and the number gaspgol.
Approximations
| Notation | Lower bound | Upper bound |
|---|---|---|
| Arrow notation | \(100\uparrow^{9}(100\uparrow^{7}100)\) | \(100\uparrow^{9}(100\uparrow^{7}101)\) |
| Chained arrow notation | \(100 \rightarrow (100 \rightarrow 100 \rightarrow 7) \rightarrow 9\) | \(100 \rightarrow (100 \rightarrow 101 \rightarrow 7) \rightarrow 9\) |
| Hyperfactorial array notation | \((102!6)!8\) | \((103!6)!8\) |
| Fast-growing hierarchy | \(f_{10}(f_8(100))\) | \(f_{10}(f_8(101))\) |
| Hardy hierarchy | \(H_{(\omega^{10})+\omega^{8}}(100)\) | \(H_{(\omega^{10})+\omega^{8}}(101)\) |
| Slow-growing hierarchy | \(g_{\varphi(8,\varphi(6,0))}(100)\) | \(g_{\varphi(8,\varphi(6,0))}(101)\) |
Sources
- ↑ Sbiis Saibian, Hyper-E Numbers - Large Numbers