Heads-Hex-2-primol is a number equal to R**(6) using Primarial Functions. It is equal to 13↑↑11↑↑7↑↑5↑↑3↑↑2 (=13↑↑11↑↑7↑↑5↑↑27 or 13↑↑R**(5)). The term was coined by Licorneuhh.[1]

Approximations

Notation Lower bound Upper bound
Arrow notation \(13 \uparrow\uparrow 11 \uparrow\uparrow 7 \uparrow\uparrow 5 \uparrow\uparrow 27\)
Hyper-E notation E[13]1#(E[11]1#(E[7]1#(E[5]1#27)))
Hyper-E notation (base 10) E1#(E1#(E1#(E3.494#26))) E1#(E1#(E1#(E3.495#26)))
BEAF {13,{11,{7,{5,27,2},2},2},2}
Hyperfactorial array notation (((28!1)!1)!1)!1 (((29!1)!1)!1)!1
Fast-growing hierarchy \(f_3(f_3(f_3(f_3(25))))\) \(f_3(f_3(f_3(f_3(26))))\)
Hardy hierarchy \(H_{\omega^3}(H_{\omega^3}(H_{\omega^3}(H_{\omega^3}(26))))\) \(H_{\omega^3}(H_{\omega^3}(H_{\omega^3}(H_{\omega^3}(27))))\)
Slow-growing hierarchy \(g_{\varepsilon_0}(g_{\varepsilon_0}(g_{\varepsilon_0}(g_{\varepsilon_0}(26))))\) \(g_{\varepsilon_0}(g_{\varepsilon_0}(g_{\varepsilon_0}(g_{\varepsilon_0}(27))))\)

References

  1. Numbers | Licorneuhh's numbers site (retrieved at UTC 19:47 14/01/2021)
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