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The pentacthulhexon regiment is a series of numbers from E100#^^^(#^6)100 to E100(#^^^#^7)90 defined using Extended Cascading-E Notation (i.e. beginning from pentacthulhexon and up to enenintastaculated pentacthulhexon).[1] The numbers were coined by Sbiis Saibian.

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Pentacthulpeton regiment Pentacthulhepton regiment

List of numbers of the regiment

Name of number Extended Cascading-E Notation (definition) Fast-growing hierarchy (approximation)
pentacthulhexon E100#^^^(#^6)100 \(f_{\varphi(1,5,0)}(100)\)
grand pentacthulhexon E100#^^^(#^6)100#2 \(f_{\varphi(1,5,0)}^2(100)\)
grangol-carta-pentacthulhexon E100#^^^(#^6)100#100 \(f_{\varphi(1,5,0)+1}(100)\)
godgahlah-carta-pentacthulhexon E100#^^^(#^6)100#^#100 \(f_{\varphi(1,5,0)+\omega^\omega}(100)\)
tethrathoth-carta-pentacthulhexon E100#^^^(#^6)100#^^#100 \(f_{\varphi(1,5,0)+\varepsilon_0}(100)\)
pentacthulhum-carta-pentacthulhexon E100#^^^(#^6)100#^^^#100 \(f_{\varphi(1,5,0)+\Gamma_0}(100)\)
pentacthulcross-carta-pentacthulhexon E100#^^^(#^6)100#^^^##100 \(f_{\varphi(1,5,0)+\varphi(1,1,0)}(100)\)
pentacthulcubor-carta-pentacthulhexon E100#^^^(#^6)100#^^^###100 \(f_{\varphi(1,5,0)+\varphi(1,2,0)}(100)\)
pentacthulteron-carta-pentacthulhexon E100#^^^(#^6)100#^^^####100 \(f_{\varphi(1,5,0)+\varphi(1,3,0)}(100)\)
pentacthulpeton-carta-pentacthulhexon E100#^^^(#^6)100#^^^(#^5)100 \(f_{\varphi(1,5,0)+\varphi(1,4,0)}(100)\)
pentacthulhexon-by-deuteron, pentacthulhexon-carta-pentacthulhexon E100#^^^(#^6)100#^^^(#^6)100 \(f_{\varphi(1,5,0)2}(100)\)
pentacthulhexon-by-triton E100#^^^(#^6)*#4 \(f_{\varphi(1,5,0)3}(100)\)
pentacthulhexon-by-teterton E100#^^^(#^6)*#5 \(f_{\varphi(1,5,0)4}(100)\)
pentacthulhexon-by-pepton E100#^^^(#^6)*#6 \(f_{\varphi(1,5,0)5}(100)\)
pentacthulhexon-by-exton E100#^^^(#^6)*#7 \(f_{\varphi(1,5,0)6}(100)\)
pentacthulhexon-by-epton E100#^^^(#^6)*#8 \(f_{\varphi(1,5,0)7}(100)\)
pentacthulhexon-by-ogdon E100#^^^(#^6)*#9 \(f_{\varphi(1,5,0)8}(100)\)
pentacthulhexon-by-enton E100#^^^(#^6)*#10 \(f_{\varphi(1,5,0)9}(100)\)
pentacthulhexon-by-dekaton E100#^^^(#^6)*#11 \(f_{\varphi(1,5,0)10}(100)\)
pentacthulhexon-by-hyperion E100#^^^(#^6)*#100 \(f_{\varphi(1,5,0)\omega}(100)\)
pentacthulhexon-by-godgahlah E100#^^^(#^6)*#^#100 \(f_{\varphi(1,5,0)\omega^\omega}(100)\)
pentacthulhexon-by-gridgahlah E100#^^^(#^6)*#^##100 \(f_{\varphi(1,5,0)\omega^{\omega^2}}(100)\)
pentacthulhexon-by-kubikahlah E100#^^^(#^6)*#^###100 \(f_{\varphi(1,5,0)\omega^{\omega^3}}(100)\)
pentacthulhexon-by-quarticahlah E100#^^^(#^6)*#^(#^4)100 \(f_{\varphi(1,5,0)\omega^{\omega^4}}(100)\)
pentacthulhexon-by-tethrathoth E100#^^^(#^6)*#^^#100 \(f_{\varphi(1,5,0)\varepsilon_0}(100)\)
pentacthulhexon-by-tethracross E100#^^^(#^6)*#^^##100 \(f_{\varphi(1,5,0)\zeta_0}(100)\)
pentacthulhexon-by-tethracubor E100#^^^(#^6)*#^^###100 \(f_{\varphi(1,5,0)\eta_0}(100)\)
pentacthulhexon-by-tethrahexon E100#^^^(#^6)*#^^####100 \(f_{\varphi(1,5,0)\varphi(4,0)}(100)\)
pentacthulhexon-by-pentacthulhum E100#^^^(#^6)*#^^^#100 \(f_{\varphi(1,5,0)\Gamma_0}(100)\)
pentacthulhexon-by-pentacthulcross E100#^^^(#^6)*#^^^##100 \(f_{\varphi(1,5,0)\varphi(1,1,0)}(100)\)
pentacthulhexon-by-pentacthulcubor E100#^^^(#^6)*#^^^###100 \(f_{\varphi(1,5,0)\varphi(1,2,0)}(100)\)
pentacthulhexon-by-pentacthulteron E100#^^^(#^6)*#^^^####100 \(f_{\varphi(1,5,0)\varphi(1,3,0)}(100)\)
pentacthulhexon-by-pentacthulpeton E100#^^^(#^6)*#^^^(#^5)100 \(f_{\varphi(1,5,0)\varphi(1,4,0)}(100)\)
deutero-pentacthulhexon, pentacthulhexon-by-pentacthulhexon E100#^^^(#^6)*#^^^(#^6)100 \(f_{\varphi(1,5,0)^2}(100)\)
trito-pentacthulhexon E100#^^^(#^6)*#^^^(#^6)*#^^^(#^6)100 \(f_{\varphi(1,5,0)^3}(100)\)
teterto-pentacthulhexon E100(#^^^#^6)^#4 \(f_{\varphi(1,5,0)^4}(100)\)
pepto-pentacthulhexon E100(#^^^#^6)^#5 \(f_{\varphi(1,5,0)^5}(100)\)
exto-pentacthulhexon E100(#^^^#^6)^#6 \(f_{\varphi(1,5,0)^6}(100)\)
epto-pentacthulhexon E100(#^^^#^6)^#7 \(f_{\varphi(1,5,0)^7}(100)\)
ogdo-pentacthulhexon E100(#^^^#^6)^#8 \(f_{\varphi(1,5,0)^8}(100)\)
ento-pentacthulhexon E100(#^^^#^6)^#9 \(f_{\varphi(1,5,0)^9}(100)\)
dekato-pentacthulhexon E100(#^^^#^6)^#10 \(f_{\varphi(1,5,0)^{10}}(100)\)
pentacthulhexonifact E100(#^^^#^6)^#100 \(f_{\varphi(1,5,0)^{\omega}}(100)\)
quadratapentacthulhexon E100(#^^^#^6)^##100 \(f_{\varphi(1,5,0)^{\omega^2}}(100)\)
kubikupentacthulhexon E100(#^^^#^6)^###100 \(f_{\varphi(1,5,0)^{\omega^3}}(100)\)
quarticupentacthulhexon E100(#^^^#^6)^####100 \(f_{\varphi(1,5,0)^{\omega^4}}(100)\)
quinticupentacthulhexon E100(#^^^#^6)^(#^6)100 \(f_{\varphi(1,5,0)^{\omega^5}}(100)\)
sexticupentacthulhexon E100(#^^^#^6)^(#^7)100 \(f_{\varphi(1,5,0)^{\omega^6}}(100)\)
septicupentacthulhexon E100(#^^^#^6)^(#^7)100 \(f_{\varphi(1,5,0)^{\omega^7}}(100)\)
octicupentacthulhexon E100(#^^^#^6)^(#^8)100 \(f_{\varphi(1,5,0)^{\omega^8}}(100)\)
nonicupentacthulhexon E100(#^^^#^6)^(#^9)100 \(f_{\varphi(1,5,0)^{\omega^9}}(100)\)
decicupentacthulhexon E100(#^^^#^6)^(#^10)100 \(f_{\varphi(1,5,0)^{\omega^{10}}}(100)\)
pentacthulhexon-ipso-godgahlah E100(#^^^#^6)^#^#100 \(f_{\varphi(1,5,0)^{\omega^\omega}}(100)\)
pentacthulhexon-ipso-tethrathoth E100(#^^^#^6)^#^^#100 \(f_{\varphi(1,5,0)^{\varepsilon_0}}(100)\)
pentacthulhexon-ipso-pentacthulhum E100(#^^^#^6)^#^^^#100 \(f_{\varphi(1,5,0)^{\Gamma_0}}(100)\)
pentacthulhexon-ipso-pentacthulcross E100(#^^^#^6)^#^^^##100 \(f_{\varphi(1,5,0)^{\varphi(1,1,0)}}(100)\)
pentacthulhexon-ipso-pentacthulcubor E100(#^^^#^6)^#^^^###100 \(f_{\varphi(1,5,0)^{\varphi(1,2,0)}}(100)\)
pentacthulhexon-ipso-pentacthulterron E100(#^^^#^6)^#^^^####100 \(f_{\varphi(1,5,0)^{\varphi(1,3,0)}}(100)\)
pentacthulhexon-ipso-pentacthulpeton E100(#^^^#^6)^(#^^^#^5)100 \(f_{\varphi(1,5,0)^{\varphi(1,4,0)}}(100)\)
dutetrated pentacthulhexon, pentacthulhexon-ipso-pentacthulhexon E100(#^^^#^6)^(#^^^#^6)100 \(f_{\varphi(1,5,0)^{\varphi(1,5,0)}}(100)\)
tritetrated pentacthulhexon E100(#^^^#^6)^(#^^^#^6)^(#^^^#^6)100 \(f_{\varphi(1,5,0)^{\varphi(1,5,0)^{\varphi(1,5,0)}}}(100)\)
quadratetrated pentacthulhexon E100(#^^^#^6)^^#4 \(f_{\varphi(1,5,0)\uparrow\uparrow4}(100)\)
quinquatetrated pentacthulhexon E100(#^^^#^6)^^#5 \(f_{\varphi(1,5,0)\uparrow\uparrow5}(100)\)
sexatetrated pentacthulhexon E100(#^^^#^6)^^#6 \(f_{\varphi(1,5,0)\uparrow\uparrow6}(100)\)
septatetrated pentacthulhexon E100(#^^^#^6)^^#7 \(f_{\varphi(1,5,0)\uparrow\uparrow7}(100)\)
octatetrated pentacthulhexon E100(#^^^#^6)^^#8 \(f_{\varphi(1,5,0)\uparrow\uparrow8}(100)\)
nonatetrated pentacthulhexon E100(#^^^#^6)^^#9 \(f_{\varphi(1,5,0)\uparrow\uparrow9}(100)\)
decatetrated pentacthulhexon E100(#^^^#^6)^^#10 \(f_{\varphi(1,5,0)\uparrow\uparrow10}(100)\)
terrible pentacthulhexon E100(#^^^#^6)^^#100 \(f_{\varepsilon_{\varphi(1,5,0)+1}}(100)\)
terrisquared pentacthulhexon E100(#^^^#^6)^^##100 \(f_{\zeta_{\varphi(1,5,0)+1}}(100)\)
terricubed pentacthulhexon E100(#^^^#^6)^^###100 \(f_{\eta_{\varphi(1,5,0)+1}}(100)\)
territesserated pentacthulhexon E100(#^^^#^6)^^####100 \(f_{\varphi(4,\varphi(1,5,0)+1)}(100)\)
terripenterated pentacthulhexon E100(#^^^#^6)^^(#^5)100 \(f_{\varphi(5,\varphi(1,5,0)+1)}(100)\)
terrihexerated pentacthulhexon E100(#^^^#^6)^^(#^6)100 \(f_{\varphi(6,\varphi(1,5,0)+1)}(100)\)
terrihepterated pentacthulhexon E100(#^^^#^6)^^(#^7)100 \(f_{\varphi(7,\varphi(1,5,0)+1)}(100)\)
terriocterated pentacthulhexon E100(#^^^#^6)^^(#^8)100 \(f_{\varphi(8,\varphi(1,5,0)+1)}(100)\)
terriennerated pentacthulhexon E100(#^^^#^6)^^(#^9)100 \(f_{\varphi(9,\varphi(1,5,0)+1)}(100)\)
terridekerated pentacthulhexon E100(#^^^#^6)^^(#^10)100 \(f_{\varphi(10,\varphi(1,5,0)+1)}(100)\)
territoped pentacthulhexon E100(#^^^#^6)^^#^#100 \(f_{\varphi(\omega,\varphi(1,5,0)+1)}(100)\)
tethrathothitetrated pentacthulhexon E100(#^^^#^6)^^#^^#100 \(f_{\varphi(\varepsilon_0,\varphi(1,5,0)+1)}(100)\)
pentacthultetrated pentacthulhexon E100(#^^^#^6)^^#^^^#100 \(f_{\varphi(\Gamma_0,\varphi(1,5,0)+1)}(100)\)
pentacthulcruxitetrated pentacthulhexon E100(#^^^#^6)^^#^^^##100 \(f_{\varphi(\varphi(1,1,0),\varphi(1,5,0)+1)}(100)\)
pentacthulcubotetrated pentacthulhexon E100(#^^^#^6)^^#^^^###100 \(f_{\varphi(\varphi(1,2,0),\varphi(1,5,0)+1)}(100)\)
pentacthulteronitetrated pentacthulhexon E100(#^^^#^6)^^#^^^####100 \(f_{\varphi(\varphi(1,3,0),\varphi(1,5,0)+1)}(100)\)
pentacthulpetonitetrated pentacthulhexon E100(#^^^#^6)^^(#^^^#^5)100 \(f_{\varphi(\varphi(1,4,0),\varphi(1,5,0)+1)}(100)\)
dupentated pentacthulhexon, pentacthulhexonitetrated pentacthulhexon E100(#^^^#^6)^^(#^^^#^6)100 \(f_{\varphi(\varphi(1,5,0),1)}(100)\)
tripentated pentacthulhexon E100(#^^^#^6)^^(#^^^#^6)^^(#^^^#^6)100 \(f_{\varphi(\varphi(\varphi(1,5,0),1),0)}(100)\)
quadrapentated pentacthulhexon E100(#^^^#^6)^^^#4 \(f_{\Gamma_{\varphi(1,5,0)+1}[4]}(100)\)
quinquapentated pentacthulhexon E100(#^^^#^6)^^^#5 \(f_{\Gamma_{\varphi(1,5,0)+1}[5]}(100)\)
sexapentated pentacthulhexon E100(#^^^#^6)^^^#6 \(f_{\Gamma_{\varphi(1,5,0)+1}[6]}(100)\)
septapentated pentacthulhexon E100(#^^^#^6)^^^#7 \(f_{\Gamma_{\varphi(1,5,0)+1}[7]}(100)\)
octapentated pentacthulhexon E100(#^^^#^6)^^^#8 \(f_{\Gamma_{\varphi(1,5,0)+1}[8]}(100)\)
nonapentated pentacthulhexon E100(#^^^#^6)^^^#9 \(f_{\Gamma_{\varphi(1,5,0)+1}[9]}(100)\)
decapentated pentacthulhexon E100(#^^^#^6)^^^#10 \(f_{\Gamma_{\varphi(1,5,0)+1}[10]}(100)\)
horrible pentacthulhexon E100(#^^^#^6)^^^#100 \(f_{\Gamma_{\varphi(1,5,0)+1}}(100)\)
horriterated pentacthulhexon E100(#^^^#^6)^^^#>#100 \(f_{\Gamma_{\varphi(1,5,0)+\omega}}(100)\)
godgahlah-turreted-horripentacthulhexon E100(#^^^#^6)^^^#>#^#100 \(f_{\Gamma_{\varphi(1,5,0)+\omega^\omega}}(100)\)
tethrathoth-turreted-horripentacthulhexon E100(#^^^#^6)^^^#>#^^#100 \(f_{\Gamma_{\varphi(1,5,0)+\varepsilon_0}}(100)\)
pentacthulhum-turreted-horripentacthulhexon E100(#^^^#^6)^^^#>#^^^#100 \(f_{\Gamma_{\varphi(1,5,0)+\Gamma_0}}(100)\)
pentacthulcross-turreted-horripentacthulhexon E100(#^^^#^6)^^^#>#^^^##100 \(f_{\Gamma_{\varphi(1,5,0)+\varphi(1,1,0)}}(100)\)
pentacthulcubor-turreted-horripentacthulhexon E100(#^^^#^6)^^^#>#^^^###100 \(f_{\Gamma_{\varphi(1,5,0)+\varphi(1,2,0)}}(100)\)
pentacthulteron-turreted-horripentacthulhexon E100(#^^^#^6)^^^#>#^^^####100 \(f_{\Gamma_{\varphi(1,5,0)+\varphi(1,3,0)}}(100)\)
pentacthulpeton-turreted-horripentacthulhexon E100(#^^^#^6)^^^#>(#^^^#^5)100 \(f_{\Gamma_{\varphi(1,5,0)+\varphi(1,4,0)}}(100)\)
pentacthulhexon-turreted-horripentacthulhexon E100(#^^^#^6)^^^#>(#^^^#^6)100 \(f_{\Gamma_{\varphi(1,5,0)2}}(100)\)
dustaculated horripentacthulhexon E100(#^^^#^6)^^^#>(#^^^#^6)^^^#100 \(f_{\Gamma_{\Gamma_{\varphi(1,5,0)+1}}}(100)\)
tristaculated horripentacthulhexon E100(#^^^#^6)^^^#>(#^^^#^6)^^^#>(#^^^#^6)^^^#100 \(f_{\Gamma_{\Gamma_{\Gamma_{\varphi(1,5,0)+1}}}}(100)\)
tetrastaculated horripentacthulhexon E100(#^^^#^6)^^^##4 \(f_{\varphi(1,1,\varphi(1,5,0)+1)[4]}(100)\)
horrisquared pentacthulhexon E100(#^^^#^6)^^^##100 \(f_{\varphi(1,1,\varphi(1,5,0)+1)}(100)\)
horritersquared pentacthulhexon E100(#^^^#^6)^^^##>#100 \(f_{\varphi(1,1,\varphi(1,5,0)+\omega)}(100)\)
godgahlah-turreted-horrisquared pentacthulhexon E100(#^^^#^6)^^^##>#^#100 \(f_{\varphi(1,1,\varphi(1,5,0)+\omega^\omega)}(100)\)
tethrathoth-turreted-horrisquared pentacthulhexon E100(#^^^#^6)^^^##>#^^#100 \(f_{\varphi(1,1,\varphi(1,5,0)+\varepsilon_0)}(100)\)
pentacthulhum-turreted-horrisquared pentacthulhexon E100(#^^^#^6)^^^##>#^^^#100 \(f_{\varphi(1,1,\varphi(1,5,0)+\Gamma_0)}(100)\)
pentacthulcross-turreted-horrisquared pentacthulhexon E100(#^^^#^6)^^^##>#^^^##100 \(f_{\varphi(1,1,\varphi(1,5,0)+\varphi(1,1,0))}(100)\)
pentacthulcubor-turreted-horrisquared pentacthulhexon E100(#^^^#^6)^^^##>#^^^###100 \(f_{\varphi(1,1,\varphi(1,5,0)+\varphi(1,2,0))}(100)\)
pentacthulteron-turreted-horrisquared pentacthulhexon E100(#^^^#^6)^^^##>#^^^####100 \(f_{\varphi(1,1,\varphi(1,5,0)+\varphi(1,3,0))}(100)\)
pentacthulpeton-turreted-horrisquared pentacthulhexon E100(#^^^#^6)^^^##>(#^^^#^5)100 \(f_{\varphi(1,1,\varphi(1,5,0)+\varphi(1,4,0))}(100)\)
pentacthulhexon-turreted-horrisquared pentacthulhexon E100(#^^^#^6)^^^##>(#^^^#^6)100 \(f_{\varphi(1,1,\varphi(1,5,0)2)}(100)\)
dustaculated horrisquared pentacthulhexon E100(#^^^#^6)^^^##>(#^^^#^6)^^^##100 \(f_{\varphi(1,1,\varphi(1,1,\varphi(1,5,0)+1))}(100)\)
tristaculated horrisquared pentacthulhexon E100(#^^^#^6)^^^###3 \(f_{\varphi(1,1,\varphi(1,1,\varphi(1,1,\varphi(1,5,0)+1)))}(100)\)
tetrastaculated horrisquared pentacthulhexon E100(#^^^#^6)^^^###4 \(f_{\varphi(1,2,\varphi(1,5,0)+1)[4]}(100)\)
horricubed pentacthulhexon E100(#^^^#^6)^^^###100 \(f_{\varphi(1,2,\varphi(1,5,0)+1)}(100)\)
horritercubed pentacthulhexon E100(#^^^#^6)^^^###>#100 \(f_{\varphi(1,2,\varphi(1,5,0)+\omega)}(100)\)
godgahlah-turreted-horricubed pentacthulhexon E100(#^^^#^6)^^^###>#^#100 \(f_{\varphi(1,2,\varphi(1,5,0)+\omega^\omega)}(100)\)
tethrathoth-turreted-horricubed pentacthulhexon E100(#^^^#^6)^^^###>#^^#100 \(f_{\varphi(1,2,\varphi(1,5,0)+\varepsilon_0)}(100)\)
pentacthulhum-turreted-horricubed pentacthulhexon E100(#^^^#^6)^^^###>#^^^#100 \(f_{\varphi(1,2,\varphi(1,5,0)+\Gamma_0)}(100)\)
pentacthulcross-turreted-horricubed pentacthulhexon E100(#^^^#^6)^^^###>#^^^##100 \(f_{\varphi(1,2,\varphi(1,5,0)+\varphi(1,1,0))}(100)\)
pentacthulcubor-turreted-horricubed pentacthulhexon E100(#^^^#^6)^^^###>#^^^###100 \(f_{\varphi(1,2,\varphi(1,5,0)+\varphi(1,2,0))}(100)\)
pentacthulteron-turreted-horricubed pentacthulhexon E100(#^^^#^6)^^^####>#^^^####100 \(f_{\varphi(1,2,\varphi(1,5,0)+\varphi(1,3,0))}(100)\)
pentacthupeton-turreted-horricubed pentacthulhexon E100(#^^^#^6)^^^####>(#^^^#^5)100 \(f_{\varphi(1,2,\varphi(1,5,0)+\varphi(1,4,0))}(100)\)
pentacthulhexon-turreted-horricubed pentacthulhexon E100(#^^^#^6)^^^###>(#^^^#^6)100 \(f_{\varphi(1,2,\varphi(1,5,0)2)}(100)\)
dustaculated horricubed pentacthulhexon E100(#^^^#^6)^^^###>(#^^^#^6)^^^###100 \(f_{\varphi(1,2,\varphi(1,2,\varphi(1,5,0)+1))}(100)\)
tristaculated horricubed pentacthulhexon E100(#^^^#^6)^^^####3 \(f_{\varphi(1,3,\varphi(1,5,0)+1)[3]}(100)\)
tetrastaculated horricubed pentacthulhexon E100(#^^^#^6)^^^####4 \(f_{\varphi(1,3,\varphi(1,5,0)+1)[4]}(100)\)
horritesserated pentacthulhexon E100(#^^^#^6)^^^####100 \(f_{\varphi(1,3,\varphi(1,5,0)+1)}(100)\)
horritertesserated pentacthulhexon E100(#^^^#^6)^^^####>#100 \(f_{\varphi(1,3,\varphi(1,5,0)+\omega)}(100)\)
godgahlah-turreted-horritesserated pentacthulhexon E100(#^^^#^6)^^^####>#^#100 \(f_{\varphi(1,3,\varphi(1,5,0)+\omega^\omega)}(100)\)
tethrathoth-turreted-horritesserated pentacthulhexon E100(#^^^#^6)^^^####>#^^#100 \(f_{\varphi(1,3,\varphi(1,5,0)+\varepsilon_0)}(100)\)
pentacthulhum-turreted-horritesserated pentacthulhexon E100(#^^^#^6)^^^####>#^^^#100 \(f_{\varphi(1,3,\varphi(1,5,0)+\Gamma_0)}(100)\)
pentacthulcross-turreted-horritesserated pentacthulhexon E100(#^^^#^6)^^^####>#^^^##100 \(f_{\varphi(1,3,\varphi(1,5,0)+\varphi(1,1,0))}(100)\)
pentacthulcubor-turreted-horritesserated pentacthulhexon E100(#^^^#^6)^^^####>#^^^###100 \(f_{\varphi(1,3,\varphi(1,5,0)+\varphi(1,2,0))}(100)\)
pentacthulteron-turreted-horritesserated pentacthulhexon E100(#^^^#^6)^^^#####>#^^^####100 \(f_{\varphi(1,3,\varphi(1,5,0)+\varphi(1,3,0))}(100)\)
pentacthulpeton-turreted-horritesserated pentacthulhexon E100(#^^^#^6)^^^#####>(#^^^#^5)100 \(f_{\varphi(1,3,\varphi(1,5,0)+\varphi(1,4,0))}(100)\)
pentacthulhexon-turreted-horritesserated pentacthulhexon E100(#^^^#^6)^^^####>(#^^^#^6)100 \(f_{\varphi(1,3,\varphi(1,5,0)2)}(100)\)
dustaculated horritesserated pentacthulhexon E100(#^^^#^6)^^^####>(#^^^#^6)^^^####100 \(f_{\varphi(1,3,\varphi(1,3,\varphi(1,5,0)+1))}(100)\)
tristaculated horritesserated pentacthulhexon E100((#^^^#^6)^^^#^5)3 \(f_{\varphi(1,3,\varphi(1,3,\varphi(1,3,\varphi(1,5,0)+1)))}(100)\)
tetrastaculated horritesserated pentacthulhexon E100((#^^^#^6)^^^#^5)4 \(f_{\varphi(1,4,\varphi(1,5,0)+1)[4]}(100)\)
horripenterated pentacthulhexon E100((#^^^#^6)^^^#^5)100 \(f_{\varphi(1,4,\varphi(1,5,0)+1)}(100)\)
horriterpenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>#100 \(f_{\varphi(1,4,\varphi(1,5,0)+\omega)}(100)\)
godgahlah-turreted-horripenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>#^#100 \(f_{\varphi(1,4,\varphi(1,5,0)+\omega^\omega)}(100)\)
tethrathoth-turreted-horripenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>#^^#100 \(f_{\varphi(1,4,\varphi(1,5,0)+\varepsilon_0)}(100)\)
pentacthulhum-turreted-horripenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>#^^^#100 \(f_{\varphi(1,4,\varphi(1,5,0)+\Gamma_0)}(100)\)
pentacthulcross-turreted-horripenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>#^^^##100 \(f_{\varphi(1,4,\varphi(1,5,0)+\varphi(1,1,0))}(100)\)
pentacthulcubor-turreted-horripenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>#^^^###100 \(f_{\varphi(1,4,\varphi(1,5,0)+\varphi(1,2,0))}(100)\)
pentacthulteron-turreted-horripenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>#^^^####100 \(f_{\varphi(1,4,\varphi(1,5,0)+\varphi(1,3,0))}(100)\)
pentacthulpeton-turreted-horripenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>(#^^^#^5)100 \(f_{\varphi(1,4,\varphi(1,5,0)+\varphi(1,4,0))}(100)\)
pentacthulhexon-turreted-horripenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>(#^^^#^6)100 \(f_{\varphi(1,4,\varphi(1,5,0)2)}(100)\)
horripentacthulhexon-turreted-horripenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>(#^^^#^6)^^^#100 \(f_{\varphi(1,4,\Gamma_{\varphi(1,5,0)+1})}(100)\)
horricruxipentacthulhexon-turreted-horripenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>(#^^^#^6)^^^##100 \(f_{\varphi(1,4,\varphi(1,1,\varphi(1,5,0)+1))}(100)\)
horricubopentacthulhexon-turreted-horripenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>(#^^^#^6)^^^###100 \(f_{\varphi(1,4,\varphi(1,2,\varphi(1,5,0)+1))}(100)\)
horriteronipentacthulhexon-turreted-horripenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>(#^^^#^6)^^^####100 \(f_{\varphi(1,4,\varphi(1,3,\varphi(1,5,0)+1))}(100)\)
dustaculated horripenterated pentacthulhexon, horripetonipentacthulhexon-turreted-horripenterated pentacthulhexon E100(#^^^#^6)^^^(#^5)>(#^^^#^6)^^^(#^5)100 \(f_{\varphi(1,4,\varphi(1,4,\varphi(1,5,0)+1))}(100)\)
tristaculated horripenterated pentacthulhexon E100((#^^^#^6)^^^#^6)3 \(f_{\varphi(1,4,\varphi(1,4,\varphi(1,4,\varphi(1,5,0)+1)+1))}(100)\
tetrastaculated horripenterated pentacthulhexon E100((#^^^#^6)^^^#^6)4 \(f_{\varphi(1,5,1)[4]}(100)\)
pentastaculated horripenterated pentacthulhexon E100((#^^^#^6)^^^#^6)5 \(f_{\varphi(1,5,1)[5]}(100)\)
hexastaculated horripenterated pentacthulhexon E100((#^^^#^6)^^^#^6)6 \(f_{\varphi(1,5,1)[6]}(100)\)
heptastaculated horripenterated pentacthulhexon E100((#^^^#^6)^^^#^6)7 \(f_{\varphi(1,5,1)[7]}(100)\)
ogdastaculated horripenterated pentacthulhexon E100((#^^^#^6)^^^#^6)8 \(f_{\varphi(1,5,1)[8]}(100)\)
ennastaculated horripenterated pentacthulhexon E100((#^^^#^6)^^^#^6)9 \(f_{\varphi(1,5,1)[9]}(100)\)
dekastaculated horripenterated pentacthulhexon E100((#^^^#^6)^^^#^6)10 \(f_{\varphi(1,5,1)[10]}(100)\)
pentacthulduhexon E100((#^^^#^6)^^^#^6)100 \(f_{\varphi(1,5,1)}(100)\)
pentacthultrihexon E100(((#^^^#^6)^^^#^6)^^^#^6)100 \(f_{\varphi(1,5,2)}(100)\)
pentacthultetrahexon E100#^^^(#^6)>#4 \(f_{\varphi(1,5,3)}(100)\)
pentacthulpentahexon E100#^^^(#^6)>#5 \(f_{\varphi(1,5,4)}(100)\)
pentacthulhexahexon E100#^^^(#^6)>#6 \(f_{\varphi(1,5,5)}(100)\)
pentacthulheptahexon E100#^^^(#^6)>#7 \(f_{\varphi(1,5,6)}(100)\)
pentacthuloctahexon E100#^^^(#^6)>#8 \(f_{\varphi(1,5,7)}(100)\)
pentacthulennahexon E100#^^^(#^6)>#9 \(f_{\varphi(1,5,8)}(100)\)
pentacthuldekahexon E100#^^^(#^6)>#10 \(f_{\varphi(1,5,9)}(100)\)
pentacthulendekahexon E100#^^^(#^6)>#11 \(f_{\varphi(1,5,10)}(100)\)
pentacthuldodekahexon E100#^^^(#^6)>#12 \(f_{\varphi(1,5,11)}(100)\)
pentacthul-icosahexon E100#^^^(#^6)>#20 \(f_{\varphi(1,5,19)}(100)\)
pentacthuliterhexon E100#^^^(#^6)>#100 \(f_{\varphi(1,5,\omega)}(100)\)
tristaculated pentacthulhexon E100#^^^(#^6)>#^^^(#^6)>#^^^(#^6)100 \(f_{\varphi(1,5,\varphi(1,5,\varphi(1,5,0)))}(100)\)
tetrastaculated pentacthulhexon E100(#^^^#^7)4 \(f_{\varphi(1,5,0)[4]}(100)\)
pentastaculated pentacthulhexon E100(#^^^#^7)5 \(f_{\varphi(1,5,0)[5]}(100)\)
hexastaculated pentacthulhexon E100(#^^^#^7)6 \(f_{\varphi(1,5,0)[6]}(100)\)
heptastaculated pentacthulhexon E100(#^^^#^7)7 \(f_{\varphi(1,5,0)[7]}(100)\)
ogdastaculated pentacthulhexon E100(#^^^#^7)8 \(f_{\varphi(1,5,0)[8]}(100)\)
ennastaculated pentacthulhexon E100(#^^^#^7)9 \(f_{\varphi(1,5,0)[9]}(100)\)
dekastaculated pentacthulhexon E100(#^^^#^7)10 \(f_{\varphi(1,5,0)[10]}(100)\)
icosastaculated pentacthulhexon E100(#^^^#^7)20 \(f_{\varphi(1,5,0)[20]}(100)\)
triantastaculated pentacthulhexon E100(#^^^#^7)30 \(f_{\varphi(1,5,0)[30]}(100)\)
sarantastaculated pentacthulhexon E100(#^^^#^7)40 \(f_{\varphi(1,5,0)[40]}(100)\)
penintastaculated pentacthulhexon E100(#^^^#^7)50 \(f_{\varphi(1,5,0)[50]}(100)\)
exintastaculated pentacthulhexon E100(#^^^#^7)60 \(f_{\varphi(1,5,0)[60]}(100)\)
ebdomintastaculated pentacthulhexon E100(#^^^#^7)70 \(f_{\varphi(1,5,0)[70]}(100)\)
ogdontastaculated pentacthulhexon E100(#^^^#^7)80 \(f_{\varphi(1,5,0)[80]}(100)\)
enenintastaculated pentacthulhexon E100(#^^^#^7)90 \(f_{\varphi(1,5,0)[90]}(100)\)

Sources

  1. Sbiis Saibian, Extended Cascading-E Numbers Part III - Large Numbers
Saibian's regiments

Hyper-E regiments: Guppy regiment · Grangol regiment · Greagol regiment · Gigangol regiment · Gorgegol regiment · Gulgol regiment · Gaspgol regiment · Ginorgol regiment · Gargantuul regiment · Googondol regiment
Extended Hyper-E regiments: Gugold regiment · Graatagold regiment · Greegold regiment · Grinningold regiment · Golaagold regiment · Gruelohgold regiment · Gaspgold regiment · Ginorgold regiment · Gargantuuld regiment · Googondold regiment · Gugolthra regiment · Throogol regiment · Tetroogol regiment · Pentoogol regiment · Hexoogol regiment · Heptoogol regiment · Ogdoogol regiment · Entoogol regiment · Dektoogol regiment
Cascading-E regiments: Godgahlah regiment · Gridgahlah regiment · Kubikahlah regiment · Quarticahlah regiment · Quinticahlah regiment · Sexticahlah regiment · Septicahlah regiment · Octicahlah regiment · Nonicahlah regiment · Decicahlah regiment · Godgathor regiment · Gralgathor regiment · Thraelgathor regiment · Terinngathor regiment · Pentaelgathor regiment · Hexaelgathor regiment · Heptaelgathor regiment · Octaelgathor regiment · Ennaelgathor regiment · Dekaelgathor regiment · Godtothol regiment · Godtertol regiment · Godtopol regiment · Godhathor regiment · Godheptol regiment · Godoctol regiment · Godentol regiment · Goddekathol regiment
Extended Cascading-E regiments: Tethrathoth regiment · Monster-Giant regiment · Tethriterator regiment · Tethracross regiment · Tethracubor regiment · Tethrateron regiment · Tethrapeton regiment · Tethrahexon regiment · Tethrahepton regiment · Tethra-ogdon regiment · Tethrennon regiment · Tethradekon regiment · Tethratope regiment · Pentacthulhum regiment · Pentacthulcross regiment · Pentacthulcubor regiment · Pentacthulteron regiment · Pentacthulpeton regiment · Pentacthulhexon regiment · Pentacthulhepton regiment · Pentacthul-ogdon regiment · Pentacthulennon regiment · Pentacthuldekon regiment · Pentacthultope regiment · Hexacthulhum super regiment · Heptacthulhum super regiment · Ogdacthulhum super regiment · Ennacthulhum super regiment · Dekacthulhum super regiment

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