Quintexep

Quintexep is equal to \(f_{\varepsilon_0^5}(10)\) using the fast-growing hierarchy.My system of number names (FGS) - Traveling To The Infinity The term was coined by wiki user Denis Maksudov.
It is equal to \(f_{\omega^{\varepsilon_05}}(10)=f_{\varphi_0(\varphi_1(0)\cdot 5)}(10)\) using the Veblen function \(\varphi_\alpha(\beta)\).
== Etymology ==
The 3 parts of the name, "quinti", "ex" and "ep", mean 5, exponentiation and \(\varepsilon_0\) respectively, which form \(\varepsilon_0^5\) when concatenated backwards. So the full name indicates the ordinal index of the FGH.
== Approximations in other notations ==
Notation 	Approximation
Dollar Function 	\(10$[[[0]_2[0]_2[0]_2[0]_2[0]_2]]\)
Hyperfactorial array notation	\(10![1,1,5,1,2]\)
Extended Cascading-E Notation	\(E10( \# \text{^^} \#)\text{^} \#5\)
Hardy hierarchy 	\(H_{\varepsilon_0^{\varepsilon_0^4}}(10)\)
Slow-growing hierarchy 	\(g_{\vartheta(\varepsilon_{\Omega2}^4\varepsilon_{\Omega+1})}(10)\)
== Sources ==
Category:Numbers
Category:Numbers by Denis Maksudov
Category:10-based FGH numbers
Category:Epsilon level
Category:-ep