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

See also

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