Petultep

Petultep is equal to \(f_{\varepsilon_0\times 10^{15}}(10)\) using the fast-growing hierarchy.My system of number names (FGS) - Traveling To The Infinity The term was coined by wiki user Denis Maksudov.
== Etymology ==
The 3 parts of the name, "peto", "ult" and "ep", mean \(10^{15}\), multiplication and \(\varepsilon_0\) respectively, which form \(\varepsilon_010^{15}\) when concatenated backwards. So the full name indicates the ordinal index of the FGH.
== Approximations ==
Notation 	Approximation
BEAF 	\(\{10,10 (X \uparrow\uparrow X) 10^{12}+1\}\)Using particular notation \(\{a,b (X \uparrow\uparrow X) c \#\}\) for \(\{X \uparrow\uparrow b\ \&\ a (X \uparrow\uparrow X) c-1 \#\}\)
Bird's array notation 	\(\{10,10 [1 \backslash 2] (10^{15}+1)\}\)
Hyperfactorial array notation	\(10![1,10^{15},1,1,2]\)
Extended Cascading-E Notation	\(\textrm{E}10\#\text{^^}\#\mbox *\#(10^{15}+1)\)
Hardy hierarchy 	\(H_{\varepsilon_0^{10^{15}}}(10)\)
Slow-growing hierarchy 	\(g_{\vartheta(\varepsilon_{\Omega2}(10^{15}-1)+\varepsilon_{\Omega+1})}(10)\)
== Sources ==
Category:Numbers
Category:Numbers by Denis Maksudov
Category:10-based FGH numbers
Category:Epsilon level
Category:-ep