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(1001-1423)
After spending the first 1,000 googolisms (not all by me) on the first regiment, which is guppy regiment, I will now continue my journey with...
grangol = E100#100
However... this number is smaller than some of the numbers in guppy regiment. Even changing bases does not make it larger, like:
grangolbit or binary-grangol = E[2]100#100
quinary-grangol = E[5]100#100
senary-grangol = E[6]100#100
grangolbyte or octal-grangol = E[8]100#100
duodecimal-grangol = E[12]100#100
hexadecimal-grangol = E[16]100#100
(1001) niftimal-grangol = E[36]100#100
centesimal-grangol = E[100]100#100 = E[100]1#101
The -plex suffix only applies one at a time... as -plex means 10^n.
grangolplex = E100#101
...
How about, change the power modifier: (not all listed)
grangolding = E500#500
grangolchime = E1000#1000
grangolbell = E5000#5000
grangoltoll = E10,000#10,000
(1002) grangolring = E50,000#50,000
grangolgong = E100,000#100,000
(1003) grangolclang = E500,000#500,000
grangolbong = E100,000,000#100,000,000
grangolthrong = E100,000,000,000#100,000,000,000
grangolgandingan = E100,000,000,000,000#100,000,000,000,000
That's not enough to beat even googolmultiplex yet... So, let's continue the -logue journey to the limits, shall we?
Since I originally coined and generalized naming system for Ex#x via my page about Grangol regiment number list on Googology Wiki, and DeepLineMadom (DLM) coined and listed it, I will only list some examples here without numbering.
granguppy = E20#20
grangogol = E50#50
granogol = E80#80
Let's push this regiment beyond the limits of the previous regiment, by applying previous regiment's numbers with -logue... (means 10^^). Repeated -logues will be suffixed by numbers like logialogue, will be shortened to -du-logue, and so on.
monologialogue or (1004) mono-du-logue = E1#10 = 10^^10 (also dekalogue, and decker)
eyelash mite-logue = 10^^20,000
pipsqueak-logue = E1#(E7) = 10^^10,000,000
dialogialogue or (1005) dia-du-logue = E1#(10^10)
guppylogue = E1#(10^20)
gogologue = E1#(10^50)
ogologue = E1#(10^80)
(1006) googolspeck-logued = E1#(10^90) = 10^^10^90
(1007) googolcrumb-logued = E1#(10^95) = 10^^10^95
(1008) googolchunk-logued = E1#(10^99) = 10^^10^99
googologue = E1#(10^100) = 10^^10^100
(1009) googolbunch-logued = E1#(10^101) = 10^^10^101
(1010) googolcrowd-logued = E1#(10^105) = 10^^10^105
(1011) googolswarm-logued = E1#(10^110) = 10^^10^110
guppylogiachime or (1012) gargoogol-logued = E1#(10^200)
ecetonlogue = E1#(10^303)
googologiading or (1013) gogologiachime = E1#(10^500)
(1014) ogologiachime = E1#(10^800)
googologiachime = E1#(10^1000)
googologiabell = E1#(10^5000)
googologiatoll = E1#(10^10,000)
(1015) googologiaring = E1#(10^50,000)
googologiagong = E1#(10^100,000)
(1016) googologiaclang = E1#(10^500,000)
milliplexionlogue = E1#(10^1,000,000)
**(break with...) (1017) the ferrei = E1#(10^2,656,000)
googologiabong = E1#(10^100,000,000)
billiplexionlogue = E1#(10^10^9)
trialogialogue or (1018) tria-du-logue = E1#(10^10^10) = 10^^10^^3 = 10^^10^10^10
googologiathrong = E1#(10^10^11)
trilliplexionlogue = E1#(10^10^12)
googologiagandingan = E1#(10^10^14)
(1019) quadrilliplexionlogue = E1#(10^10^15)
guppyplexilogue = E1#(10^10^20)
(1020) decilliplexionlogue = E1#(10^10^33)
gogolplexilogue = E1#(10^10^50)
(1021) ogolplexilogue = E1#(10^10^80)
googolplexilogue = E1#(10^10^100) = 10^^10^10^100
googolplexilogiagong = E1#(10^10^100,000)
milliduplexionlogue = E1#(10^10^1,000,000)
(1022) billiduplexionlogue = E1#(10^10^1,000,000,000)
tetralogialogue or (1023) tetra-du-logue = E1#(10^10^10^10) = 10^^10^^4 = 10^^10^10^10^10
...
googolduplexilogue = E1#(10^10^10^100)
pentalogialogue or (1024) penta-du-logue = E1#(10^10^10^10^10) = 10^^10^^5
googoltriplexilogue = E1#(10^10^10^10^100)
...
hexalogialogue or (1025) hexa-du-logue = E1#(E1#6) = E1#6#2 = 10^^10^^6
(1026) googolquadriplexilogue = E1#(10^10^10^10^10^100)
heptalogialogue or (1027) hepta-du-logue = E1#7#2 = 10^^10^^7
octalogialogue or (1028) octa-du-logue = E1#8#2 = 10^^10^^8
ennalogialogue or (1029) enna-du-logue = E1#9#2 = 10^^10^^9
dekalogialogue or (1030) deka-du-logue = E1#10#2 = 10^^10^^10 (also called (1031) deckerlogue)
...
hectalogialogue or (1032) hecta-du-logue = E1#100#2 = 10^^10^^100
Hectalogialogue or hecta-du-logue is also known as "giggolplex" by Jonathan Bowers.
...
(1033) grangologue = E1#(E100#100)
chilialogialogue = E1#1000#2 = 10^^10^^1000
myrialogialogue = E1#10,000#2 = 10^^10^^10,000
(1034) grangologiagong = E1#(E100,000#100,000)
(1035) megalogialogue or (1036) mega-du-logue = E1#1,000,000#2 = 10^^10^^1,000,000
octadialogialogue = E1#100,000,000#2 = 10^^10^^100,000,000
(1037) gigalogialogue or (1038) giga-du-logue = E1#1,000,000,000#2 = 10^^10^^1,000,000,000
dialogialogialogue or (1039) dia-tri-logue = E1#10,000,000,000#2 = 10^^10^^10,000,000,000
sedeniadialogialogue = E1#10,000,000,000,000,000#2 = E1#(10^16)#2 = 10^^10^^10^16
guppylogialogue = E1#(10^20)#2 = 10^^10^^10^20
googologialogue or (1040) googol-du-logue = E1#(10^100)#2 = 10^^10^^10^100
googologialogiagong or (1041) googol-du-logiagong = E1#(10^100,000)#2 = 10^^10^^10^100,000
trialogialogialogue or (1042) tria-tri-logue = E1#3#3 = 10^^10^^10^^3
googolplexilogialogue (1043) googolplexi-du-logue = E1#(10^10^100)#2 = 10^^10^^10^10^100
tetralogialogialogue or (1044) tetra-tri-logue = E1#4#3 = 10^^10^^10^^4
pentalogialogialogue or (1045) penta-tri-logue = E1#5#3 = 10^^10^^10^^5
hexalogialogialogue or (1046) hexa-tri-logue = E1#6#3 = 10^^10^^10^^6
heptalogialogialogue or (1047) hepta-tri-logue = E1#7#3 = 10^^10^^10^^7
octalogialogialogue or (1048) octa-tri-logue = E1#8#3 = 10^^10^^10^^8
ennalogialogialogue or (1049) enna-tri-logue = E1#9#3 = 10^^10^^10^^9
dekalogialogialogue or (1050) deka-tri-logue = E1#10#3 = 10^^10^^10^^10 (also (1051) decker-du-logue)
...
hectalogialogialogue or (1052) hecta-tri-logue = E1#100#3 = 10^^10^^10^^100
Hectalogialogialogue or hecta-tri-logue is also known as "giggolduplex" by Jonathan Bowers.
As mentioned earlier, we defined -plex as 10^n. So, applying -plex to grangol only gives us grangolplex, with grangol+1 digits long (or E100#101). Even with multiple -plexes do not come close either like:
grangoldeciplex = E100#110
(1053) grangolcentiplex = E100#200
(1054) grangolmilliplex = E100#1100
To solve the problem, the suffix -dex was made, in order to generate a tower power the size of the input. As a result, applying -dex to grangol gives us...
*grangoldex = E100#100#2 = E100#(E100#100) = E100#grangol
= 10^10^10^...10^10^100 (grangol 10's)
This number makes it comparable to giggolplex / hectalogialogue / hecta-du-logue! ("!" treated as both an exclamation mark and a factorial, as at this point the factorial of any number is considered a naive extension)
grangoldudex = E100#100#3 = E100#(E100#100#2) = E100#grangoldex (comparable to hectalogialogialogue / hecta-tri-logue / giggolduplex)
grangoltridex = E100#100#4
grangolquadridex = E100#100#5
grangolquintidex = E100#100#6
grangolsextidex = E100#100#7
grangolseptidex = E100#100#8
grangoloctidex = E100#100#9
grangolnonidex = E100#100#10
grangoldecidex = E100#100#11
(1055) grangolvigintidex = E100#100#21
(1056) grangolquinquagintidex = E100#100#51
grangolcentidex = E100#100#101
grangolmillidex = E100#100#1001
...
grangolmilli-millidex or (1057) grangolmegadex = E100#100#1,000,001
(1058) grangolgigadex = E100#100#1,000,000,001
...
(1059) grangolyottadex = E100#100#(10^24+1)
(1060) grangolquettadex = E100#100#(10^30+1)
... and even ...
(1061) grangol-googolidex = E100#100#(E100+1)
(1062) grangol-googolplexidex = E100#100#(E100#2+1)
(1063) grangol-googolduplexidex = E100#100#(E100#3+1)
...
grangol-grangolidex = E100#100#(E100#100+1)
The next one, modify the power modifier by adding suffixes. -ding, -chime, -toll, -gong,... and so on. Let's start with grangolding:
grangolding = E500#500
grangoldexiding = E500#500#2
grangoldudexiding = E500#500#3
(1065) grangoltridexiding = E500#500#4
(1066) grangolquadridexiding = E500#500#5
...
and so on.
Continue with grangolchime:
grangolchime = E1000#1000
grangoldexichime = E1000#1000#2
grangoltridexichime = E1000#1000#3
grangoltridexichime = E1000#1000#4
...
grangoldecidexichime = E1000#1000#11
.....
grangolbell = E5000#5000
grangoldexibell = E5000#5000#2
grangoldudexibell = E5000#5000#3
(1067) grangoltridexibell = E5000#5000#4
(1068) grangolquadridexibell = E5000#5000#5
.....
grangoltoll = E10,000#10,000
grangoldexitoll = E10,000#10,000#2
grangoltridexitoll = E10,000#10,000#3
grangoltridexitoll = E10,000#10,000#4
...
grangoldecidexitoll = E10,000#10,000#11
.....
(1002) grangolring = E50,000#50,000
(1069) grangoldexiring = E50,000#50,000#2
(1070) grangoldudexiring = E50,000#50,000#3
(1071) grangoltridexiring = E50,000#50,000#4
(1072) grangolquadridexiring = E50,000#50,000#5
.....
grangolgong = E100,000#100,000
grangoldexigong = E100,000#100,000#2
grangoltridexigong = E100,000#100,000#3
grangoltridexigong = E100,000#100,000#4
...
grangoldecidexigong = E100,000#100,000#11
...
(1073) grangolquinquagintidexigong = E100,000#100,000#51
grangolcentidexigong = E100,000#100,000#101
grangolmillidexigong = E100,000#100,000#1001
grangolmilli-millidexigong or (1074) grangolmegadexigong = E100,000#100,000#1,000,001
(1075) grangolquettadexigong = E100,000#100,000#(10^30+1)
... skip ahead to ...
(1076) grangol-googolgong-dexigong = E100,000#100,000#(10^100,000+1)
(1077) grangol-googolplexigong-dexigong = E100,000#100,000#(10^10^100,000+1)
(1078) grangol-grangolgong-dexigong = E100,000#100,000#(E100,000#100,000+1)
.....
(1003) grangolclang = E500,000#500,000
(1079) grangoldexiclang = E500,000#500,000#2
(1080) grangoldudexiclang = E500,000#500,000#3
(1081) grangoltridexiclang = E500,000#500,000#4
(1082) grangolquadridexiclang = E500,000#500,000#5
Since -bong, -throng and -gandingan have been covered by DLM, I will only list some of the numbers.
grangolbong = E100,000,000#100,000,000
grangoldexibong = E100,000,000#100,000,000#2
...
grangolthrong = E100,000,000,000#100,000,000,000
grangoldexithrong = E100,000,000,000#100,000,000,000#2
...
grangolgandingan = E(10^14)#(10^14)
grangoldexigandingan = E(10^14)#(10^14)#2
With the -dex suffix created, we can mix the suffixes between -plex and -dex together! Note that the suffix order is important, as it is not the same, like -dexiplex is NOT equal to -plexidex as we will see later.
Let's start off by filling the gaps between grangol and grangoldex (in order), in which eceton names are also included as well.
grangol = E100#100
graneceton or eceto-grangol = E303#303
(1083) millidexion = E6#1#2
(1084) guppydex = E20#1#2
(1085) gogoldex = E50#1#2
(1086) gogoldexiplex = E(gogoldex) = 10^gogoldex (has gogoldex+1 digits)
googoldex = E100#1#2
googoldexiplex = E(E100#1#2) = 10^googoldex (has googoldex+1 digits)
googoldexiduplex = EE(E100#1#2) = 10^10^googoldex
...
ecetondex = E303#1#2
(1087) googoldexichime = E1000#1#2
(1088) googoldexitoll = E10,000#1#2
(1089) googoldexigong = E100,000#1#2
(1090) googoldexiplexigong = E(E100,000#1#2)
(1091) milliplexidexion = E6#2#2
(1092) googoldexibong = E100,000,000#1#2
(1093) googoldexithrong = E(10^11)#1#2
...
(1094) guppyplexidex = E20#2#2
(1095) gogolplexidex = E50#2#2
googolplexidex = E100#2#2 (not the same as googoldexiplex, which is much smaller)
googolplexidexiplex = E(E100#2#2) = 10^googolplexidex (has googolplexidex+1 digits)
googolplexidexiduplex = EE(E100#2#2) = 10^10^googolplexidex
ecetonplexidex = E303#2#2
(1096) googolplexidexichime = E1000#2#2
(1097) googolplexidexitoll = E10,000#2#2
(1098) googolplexidexigong = E100,000#2#2
...
googolduplexidex = E100#3#2
ecetonduplexidex = E303#3#2
(1099) googolduplexidexichime = E1000#3#2
(1100) googolduplexidexitoll = E10,000#3#2
(1101) googolduplexidexigong = E100,000#3#2
...
googoltriplexidex = E100#4#2
ecetontriplexidex = E303#4#2
(1102) googoltriplexidexichime = E1000#4#2
(1103) googoltriplexidexitoll = E10,000#4#2
(1104) googoltriplexidexigong = E100,000#4#2
...
googolquadriplexidex = E100#5#2
ecetonquadriplexidex = E303#5#2
(1105) googolquadriplexidexichime = E1000#5#2
(1106) googolquadriplexidexitoll = E10,000#5#2
(1107) googolquadriplexidexigong = E100,000#5#2
...
googolquintiplexidex = E100#6#2
ecetonquintiplexidex = E303#6#2
(1108) googolquintiplexidexichime = E1000#6#2
(1109) googolquintiplexidexitoll = E10,000#6#2
(1110) googolquintiplexidexigong = E100,000#6#2
...
googolsextiplexidex = E100#7#2
googolseptiplexidex = E100#8#2
googoloctiplexidex = E100#9#2
googolnoniplexidex = E100#10#2
googoldeciplexidex = E100#11#2
(1111) ecetondeciplexidex = E303#11#2
(1112) googoldeciplexidexigong = E100,000#11#2
...
(1113) googolvigintiplexidex = E100#21#2
(1114) ecetonvigintiplexidex = E303#21#2
(1115) googolvigintiplexidexigong = E100,000#21#2
(1116) googoltrigintiplexidex = E100#31#2
(1117) googolquadraintiplexidex = E100#41#2
(1118) googolquinquagintiplexidex = E100#51#2
(1119) ecetonquinquagintiplexidex = E303#51#2
(1120) googolquinquagintiplexidexigong = E100,000#51#2
(1121) googolsexagintiplexidex = E100#61#2
(1122) googolseptuagintiplexidex = E100#71#2
(1123) googoloctogintiplexidex = E100#81#2
(1124) googolnonagintiplexidex = E100#91#2
...
grangoldex = E100#100#2
googolcentiplexidex or grangolplexidex = E100#101#2
(1125) ecetoncentiplexidex = E303#101#2
(1126) googolcentidexigong = E100,000#101#2
(1127) googoldecicentiplexidex = E100#111#2
...
One more thing..., I will add these before continuing:
(1128) grangolplexichime = E1000#1001
(1129) grangolplexitoll = E10,000#10,001
(1130) grangolplexigong = E100,000#100,001
Now continuing the series!
(1131) googolducentiplexidex = E100#201#2
eceto-grangoldex = E303#303#2
grangoldexiding = E500#500#2
(1132) googolquingentiplexidex = E100#501#2
grangoldexichime = E1000#1000#2
(1133) googolmilliplexidex = E100#1001#2
(1134) googolmilliplexidexichime or (1135) grangolplexidexichime = E1000#1001#2
grangoldexitoll = E10,000#10,000#2
(1136) grangolplexidexitoll = E10,000#10,001#2
grangoldexigong = E100,000#100,000#2
(1137) grangolplexidexigong = E100,000#100,001#2
(1138) googolmilli-milliplexidex or (1139) googolmegaplexidex = E100#1,000,001#2
But, that's just the beginning, as we will continue our journey between grangoldex and grangoldudex with a -dudex suffix:
(1140) millidudexion = E6#1#3
(1141) googolgigaplexidex = E100#1,000,000,001#2
(1142) googolteraplexidex = E100#(10^12+1)#2
(1143) guppydudex = E20#1#3
(1144) googolyottaplexidex = E100#(10^24+1)#2
(1145) googolquettaplexidex = E100#(10^30+1)#2
(1146) gogoldudex = E50#1#3
googoldudex = E100#1#3
...
ecetondudex = E303#1#3
(1147) googoldudexichime = E1000#1#3
(1148) googoldudexitoll = E100,000#1#3
(1149) googoldudexigong = E100,000#1#3
Break time again...
(1150) Power of dudex = E550,000#1#3
...continuing...
(1151) milliplexidudexion = E6#2#3
(1152) googoldudexibong = E100,000,000#1#3
(1153) googoldudexithrong = E(10^11)#1#3
...
(1154) guppyplexidudex = E20#2#3
(1155) gogolplexidudex = E50#2#3
googolplexidudex = E100#2#3
ecetonplexidudex = E303#2#3
(1156) googolplexidudexichime = E1000#2#3
(1157) googolplexidudexitoll = E10,000#2#3
(1158) googolplexidudexigong = E100,000#2#3
...
googolduplexidudex = E100#3#3
ecetonduplexidudex = E303#3#3
(1159) googolduplexidudexichime = E1000#3#3
(1160) googolduplexidudexitoll = E10,000#3#3
(1161) googolduplexidudexigong = E100,000#3#3
...
googoltriplexidudex = E100#4#3
ecetontriplexidudex = E303#4#3
(1162) googoltriplexidudexichime = E1000#4#3
(1163) googoltriplexidudexitoll = E10,000#4#3
(1164) googoltriplexidudexigong = E100,000#4#3
...
googolquadriplexidudex = E100#5#3
(1165) ecetonquadriplexidudex = E303#5#3
(1166) googolquadriplexidudexichime = E1000#5#3
(1167) googolquadriplexidudexitoll = E10,000#5#3
(1168) googolquadriplexidudexigong = E100,000#5#3
...
googolquintiplexidudex = E100#6#3
(1169) ecetonquintiplexidudex = E303#6#3
(1170) googolquintiplexidudexichime = E1000#6#3
(1171) googolquintiplexidudexitoll = E10,000#6#3
(1172) googolquintiplexidudexigong = E100,000#6#3
...
googolsextiplexidudex = E100#7#3
googolseptiplexidudex = E100#8#3
googoloctiplexidudex = E100#9#3
googolnoniplexidudex = E100#10#3
googoldeciplexidudex = E100#11#3
(1173) ecetondeciplexidudex = E303#11#3
(1174) googoldeciplexidudexigong = E100,000#11#3
...
(1175) googolvigintiplexidudex = E100#21#3
(1176) ecetonvigintiplexidudex = E303#21#3
(1177) googolvigintiplexidudexigong = E100,000#21#3
(1178) googolquinquagintiplexidudex = E100#51#3
(1179) ecetonquinquagintiplexidudex = E303#51#3
(1180) googolquinquagintiplexidudexigong = E100,000#51#3
...
grangoldudex = E100#100#3
(1181) googolcentiplexidudex or (1182) grangolplexidudex = E100#101#3
(1183) ecetoncentiplexidudex = E303#101#3
(1184) googolcentidudexigong = E100,000#101#3
(1185) googoldecicentiplexidudex = E100#111#3
(1186) googolducentiplexidudex = E100#201#3
eceto-grangoldudex = E303#303#3
grangoldudexiding = E500#500#3
(1187) googolquingentiplexidudex = E100#501#3
grangoldudexichime = E1000#1000#3
(1188) googolmilliplexidudex = E100#1001#3
(1189) googolmilliplexidudexichime or (1190) grangolplexidudexichime = E1000#1001#3
grangoldudexitoll = E10,000#10,000#3
(1191) grangolplexidudexitoll = E10,000#10,001#3
grangoldudexigong = E100,000#100,000#3
(1192) grangolplexidudexigong = E100,000#100,001#3
(1193) googolmilli-milliplexidudex or (1194) googolmegaplexidudex = E100#1,000,001#3
etc.
Let's keep it on with numbers with -tridex suffix:
(1195) millitridexion = E6#1#4
(1196) guppytridex = E20#1#4
(1197) gogoltridex = E50#1#4
googoltridex = E100#1#4
...
ecetontridex = E303#1#4
(1198) googoltridexichime = E1000#1#4
(1199) googoltridexitoll = E10,000#1#4
(1200) googoltridexigong = E100,000#1#4
Break time again (the third time) (here, I added some of the n-ary numbers, again, I did not realise that these were coined, but anyway) ...
(1201) binary-googoldex = E[2]100#1#2
(1202) binary-googoldudex = E[2]100#1#3
(1203) binary-googoltridex = E[2]100#1#4
...
(1204) quinary-googoldex = E[5]100#1#2
(1205) quinary-googoldudex = E[5]100#1#3
(1206) quinary-googoltridex = E[5]100#1#4
...
(1207) octal-googoldex = E[8]100#1#2
(1208) octal-googoldudex = E[5]100#1#3
(1209) octal-googoltridex = E[8]100#1#4
...
(1210) duodecimal-googoldex = E[12]100#1#2
(1211) duodecimal-googoldudex = E[12]100#1#3
(1212) duodecimal-googoltridex = E[12]100#1#4
...
(1213) hexadecimal-googoldex = E[16]100#1#2
(1214) hexadecimal-googoldudex = E[16]100#1#3
(1215) hexadecimal-googoltridex = E[16]100#1#4
...continuing...
(1216) milliplexitridexion = E6#2#4
(1217) googoltridexibong = E100,000,000#1#4
(1218) googoltridexithrong = E(10^11)#1#4
...
(1219) guppyplexitridex = E20#2#4
(1220) gogolplexitridex = E50#2#4
googolplexitridex = E100#2#4
ecetonplexitridex = E303#2#4
(1221) googolplexitridexichime = E1000#2#4
(1222) googolplexitridexitoll = E10,000#2#4
(1223) googolplexitridexigong = E100,000#2#4
...
googolduplexitridex = E100#3#4
ecetonduplexitridex = E303#3#4
(1224) googolduplexitridexichime = E1000#3#4
(1225) googolduplexitridexitoll = E10,000#3#4
(1226) googolduplexitridexigong = E100,000#3#4
...
googoltriplexitridex = E100#4#4
ecetontriplexitridex = E303#4#4
(1227) googoltriplexitridexichime = E1000#4#4
(1228) googoltriplexitridexitoll = E10,000#4#4
(1229) googoltriplexitridexigong = E100,000#4#4
...
googolquadriplexitridex = E100#5#4
(1230) ecetonquadriplexitridex = E303#5#4
(1231) googolquadriplexitridexichime = E1000#5#4
(1232) googolquadriplexitridexitoll = E10,000#5#4
(1233) googolquadriplexitridexigong = E100,000#5#4
...
googolquintiplexitridex = E100#6#4
(1234) ecetonquintiplexitridex = E303#6#4
(1235) googolquintiplexitridexichime = E1000#6#4
(1236) googolquintiplexitridexitoll = E10,000#6#4
(1237) googolquintiplexitridexigong = E100,000#6#4
...
(1238) googolsextiplexitridex = E100#7#4
(1239) googolseptiplexitridex = E100#8#4
(1240) googoloctiplexitridex = E100#9#4
(1241) googolnoniplexitridex = E100#10#4
(1242) googoldeciplexitridex = E100#11#4
(1243) ecetondeciplexitridex = E303#11#4
(1244) googoldeciplexitridexigong = E100,000#11#4
...
(1245) googolvigintiplexitridex = E100#21#4
(1246) ecetonvigintiplexitridex = E303#21#4
(1247) googolvigintiplexitridexigong = E100,000#21#4
(1248) googolquinquagintiplexitridex = E100#51#4
(1249) ecetonquinquagintiplexitridex = E303#51#4
(1250) googolquinquagintiplexitridexigong = E100,000#51#4
...
grangoltridex = E100#100#4
(1251) googolcentiplexitridex or (1252) grangolplexitridex = E100#101#4
(1253) ecetoncentiplexitridex = E303#101#4
(1254) googolcentitridexigong = E100,000#101#4
eceto-grangoltridex = E303#303#4
(1065) grangoltridexiding = E500#500#4 (listed above)
(1255) googolquingentiplexitridex = E100#501#4
grangoltridexichime = E1000#1000#4
(1256) googolmilliplexitridex = E100#1001#4
(1257) googolmilliplexitridexichime or (1258) grangolplexitridexichime = E1000#1001#4
grangoltridexitoll = E10,000#10,000#4
(1259) grangolplexitridexitoll = E10,000#10,001#4
grangoltridexigong = E100,000#100,000#4
(1260) grangolplexitridexigong = E100,000#100,001#4
(1261) googolmilli-milliplexitridex or (1262) googolmegaplexitridex = E100#1,000,001#4
and so on.
[-quadridex:]
(1263) milliquadridexion = E6#1#5
(1264) guppyquadridex = E20#1#5
(1265) gogolquadridex = E50#1#5
googolquadridex = E100#1#5
ecetonquadridex = E303#1#5
(1266) googolquadridexigong = E100,000#1#5
googolplexiquadridex = E100#2#5
(1267) ecetonplexiquadridex = E303#2#5
(1268) googolplexiquadridexigong = E100,000#2#5
googolduplexiquadridex = E100#3#5
(1269) ecetonduplexiquadridex = E303#3#5
(1270) googoltriplexiquadridex = E100#4#5
(1271) ecetontriplexiquadridex = E303#4#5
(1272) googolquadriplexiquadridex = E100#5#5
(1273) ecetonquadriplexiquadridex = E303#5#5
(1274) googolquintiplexiquadridex = E100#6#5
(1275) ecetonquintiplexiquadridex = E303#6#5
...
(1276) googolsextiplexiquadridex = E100#7#5
(1277) googolseptiplexiquadridex = E100#8#5
(1278) googoloctiplexiquadridex = E100#9#5
(1279) googolnoniplexiquadridex = E100#10#5
(1280) googoldeciplexiquadridex = E100#11#5
...
(1281) googolquinquagintiplexiquadridex = E100#51#5
grangolquadridex = E100#100#5
(1282) googolcentiplexiquadridex or (1283) grangolplexiquadridex = E100#101#5
eceto-grangolquadridex = E303#303#5
(1284) googolquingentiplexiquadridex = E100#501#5
grangolquadridexichime = E1000#1000#5
(1285) googolmilliplexiquadridex = E100#1001#5
grangolquadridexitoll = E10,000#10,000#5
grangolquadridexigong = E100,000#100,000#5
...
[-quintidex and higher:]
(1286) milliquintidexion = E6#1#6
(1287) guppyquintidex = E20#1#6
(1288) gogolquintidex = E50#1#6
googolquintidex = E100#1#6
ecetonquintidex = E303#1#6
(1289) googolquintidexigong = E100,000#1#6
googolplexiquintidex = E100#2#6
(1290) ecetonplexiquintidex = E303#2#6
(1291) googolplexiquintidexigong = E100,000#2#6
googolduplexiquintidex = E100#3#6
(1292) ecetonduplexiquintidex = E303#3#6
(1293) googoltriplexiquintidex = E100#4#6
(1294) ecetontriplexiquintidex = E303#4#6
(1295) googolquadriplexiquintidex = E100#5#6
(1296) ecetonquadriplexiquintidex = E303#5#6
(1297) googolquintiplexiquintidex = E100#6#6
(1298) ecetonquintiplexiquintidex = E303#6#6
...
(1299) googolsextiplexiquintidex = E100#7#6
(1300) googolseptiplexiquintidex = E100#8#6
(1301) googoloctiplexiquintidex = E100#9#6
(1302) googolnoniplexiquintidex = E100#10#6
(1303) googoldeciplexiquintidex = E100#11#6
(1304) googolquinquagintiplexiquintidex = E100#51#6
grangolquintidex = E100#100#6
(1305) googolcentiplexiquintidex or (1306) grangolplexiquintidex = E100#101#6
eceto-grangolquintidex = E303#303#6
(1307) googolquingentiplexiquintidex = E100#501#6
grangolquintidexichime = E1000#1000#6
(1308) googolmilliplexiquintidex = E100#1001#6
grangolquintidexitoll = E10,000#10,000#6
grangolquintidexigong = E100,000#100,000#6
...
googolsextidex = E100#1#7
ecetonsextidex = E303#1#7
googolplexisextidex = E100#2#7
(1309) ecetonplexisextidex = E303#2#7
(1310) googolduplexisextidex = E100#3#7
(1311) ecetonduplexisextidex = E303#3#7
(1312) googoltriplexisextidex = E100#4#7
(1313) ecetontriplexisextidex = E303#4#7
(1314) googolquadriplexisextidex = E100#5#7
(1315) ecetonquadriplexisextidex = E303#5#7
(1316) googolquintiplexisextidex = E100#6#7
(1317) ecetonquintiplexisextidex = E303#6#7
(1318) googolsextiplexisextidex = E100#7#7
(1319) googolseptiplexisextidex = E100#8#7
(1320) googoloctiplexisextidex = E100#9#7
(1321) googolnoniplexisextidex = E100#10#7
(1322) googoldeciplexisextidex = E100#11#7
(1323) googolquinquagintiplexisextidex = E100#51#7
grangolsextidex = E100#100#7
(1324) googolcentiplexisextidex or (1325) grangolplexisextidex = E100#101#7
eceto-grangolsextidex = E303#303#7
grangolsextidexichime = E1000#1000#7
(1326) googolmilliplexisextidex = E100#1001#7
grangolsextidexitoll = E10,000#10,000#7
grangolsextidexigong = E100,000#100,000#7
....
googolseptidex = E100#1#8
googolplexiseptidex = E100#2#8
googolduplexiseptidex = E100#3#8
(1327) googoltriplexiseptidex = E100#4#8
(1328) googolquadriplexiseptidex = E100#5#8
(1329) googolquintiplexiseptidex = E100#6#8
...
(1330) googoldeciplexiseptidex = E100#11#8
grangolseptidex = E100#100#8
(1331) googolcentiplexiseptidex or (1332) grangolplexiseptidex = E100#101#8
eceto-grangolseptidex = E303#303#8
grangolseptidexichime = E1000#1000#8
(1333) googolmilliplexiseptidex = E100#1001#8
grangolseptidexitoll = E10,000#10,000#8
grangolseptidexigong = E100,000#100,000#8
googoloctidex = E100#1#9
googolplexioctidex = E100#2#9
googolduplexioctidex = E100#3#9
(1334) googoltriplexioctidex = E100#4#9
(1335) googolquadriplexioctidex = E100#5#9
(1336) googolquintiplexioctidex = E100#6#9
...
(1337) googoldeciplexioctidex = E100#11#9
grangoloctidex = E100#100#9
(1338) googolcentiplexioctidex or (1339) grangolplexioctidex = E100#101#9
eceto-grangoloctidex = E303#303#9
grangoloctidexichime = E1000#1000#9
(1340) googolmilliplexioctidex = E100#1001#9
grangoloctidexitoll = E10,000#10,000#9
grangoloctidexigong = E100,000#100,000#9
googolnonidex = E100#1#10
googolplexinonidex = E100#2#10
googolduplexinonidex = E100#3#10
(1341) googoltriplexinonidex = E100#4#10
(1342) googolquadriplexinonidex = E100#5#10
(1343) googolquintiplexinonidex = E100#6#10
...
(1344) googoldeciplexinonidex = E100#11#10
grangolnonidex = E100#100#10
(1345) googolcentiplexinonidex or (1346) grangolplexinonidex = E100#101#10
eceto-grangolnonidex = E303#303#10
grangolnonidexichime = E1000#1000#10
(1347) googolmilliplexinonidex = E100#1001#10
grangolnonidexitoll = E10,000#10,000#10
grangolnonidexigong = E100,000#100,000#10
googoldecidex = E100#1#11
googolplexidecidex = E100#2#11
googolduplexidecidex = E100#3#11
(1348) googoltriplexidecidex = E100#4#11
(1349) googolquadriplexidecidex = E100#5#11
(1350) googolquintiplexidecidex = E100#6#11
...
(1351) googoldeciplexidecidex = E100#11#11
grangoldecidex = E100#100#11
(1352) googolcentiplexidecidex or (1353) grangolplexidecidex = E100#101#11
eceto-grangoldecidex = E303#303#11
grangoldecidexichime = E1000#1000#11
(1354) googolmilliplexidecidex = E100#1001#11
grangoldecidexitoll = E10,000#10,000#11
grangoldecidexigong = E100,000#100,000#11
That's a lot in here, but there will be 116 left, for now.
Let's continue by applying suffixes to non Hyper-E numbers like BEAF, for giggol:
giggolding = E1#500 = 10^^500
giggolchime = E1#1000 = 10^^1000
giggolbell = E1#5000 = 10^^5000
giggoltoll = E1#10,000 = 10^^10,000
(1355) giggolring = E1#50,000 = 10^^50,000 (also listed in BEAF numbers)
*giggolgong = E1#100,000 = 10^^100,000 = 10^10^...^10^10 w/100,000 10s
(1356) giggolclang = E1#500,000 = 10^^500,000 (also listed in BEAF numbers)
giggolbong = E1#100,000,000
giggolthrong = E1#100,000,000,000
giggolgandingan = E1#100,000,000,000,000
Note: the use of -plex below is based on what Jonathan Bowers had done before, so:
**giggolplex or (1356a) giggoldex = E1#giggol = E1#100#2 = 10^^giggol = 10^^10^^100
(1357) giggolplexiding or (1357a) giggoldexiding = E1#giggolding = 10^^giggolding = 10^^10^^500
(1358) giggolplexichime or (1358a) giggoldexiding = E1#giggolchime = 10^^giggolchime = 10^^10^^1000
(1359) giggolplexibell or (1359a) giggoldexibell = E1#giggolbell = 10^^giggolbell = 10^^10^^5000
(1360) giggolplexitoll or (1360a) giggoldexitoll = E1#giggoltoll = 10^^giggoltoll = 10^^10^^10,000
(1361) giggolplexiring or (1361a) giggoldexiring = E1#giggolring = 10^^giggolring = 10^^10^^50,000
(1362) giggolplexigong or (1362a) giggoldexigong = E1#giggolgong = 10^^giggolgong = 10^^10^^100,000
(1363) giggolplexiclang or (1363a) giggoldexiclang = E1#giggolclang = 10^^giggolclang = 10^^10^^500,000
(1364) giggolplexibong or (1364a) giggoldexibong = E1#giggolbong = 10^^giggolbong = 10^^10^^100,000,000
(1365) giggolplexithrong or (1365a) giggoldexithrong = E1#giggolthrong = 10^^giggolthrong = 10^^10^^100,000,000,000
(1366) giggolplexigandingan or (1366a) giggoldexigandingan = E1#giggolgandingan
giggolduplex or (1366b) giggoldudex = 10^^10^^10^^100
(1367) giggolduplexichime or (1367a) giggoldudexichime = 10^^10^^10^^1000
(1368) giggolduplexitoll or (1368a) giggoldudexitoll = 10^^10^^10^^10,000
(1369) giggolduplexigong or (1369a) giggoldudexigong = 10^^10^^10^^100,000
(1369b) giggolduplexibong or (1369c) giggoldudexibong = 10^^10^^10^^100,000,000
(1369d) giggolduplexithrong or (1369e) giggoldudexithrong = 10^^10^^10^^100,000,000,000
(1369f) giggolduplexigandingan = 10^^10^^10^^100,000,000,000,000
Continuing where we left off..
chilialogialogialogue or (1370) chilia-tri-logue = E1#1000#3 = 10^^10^^10^^1000 (also (1367) giggolduplexichime)
myrialogialogialogue or (1371) myria-tri-logue = E1#10,000#3 = 10^^10^^10^^10,000
octadialogialogialogue = E1#100,000,000#3 = 10^^10^^10^^100,000,000
sedeniadialogialogialogue = E1#(10^16)#3 = 10^^10^^10^^10^16
...
dialogialogialogialogue or (1372) dia-quadri-logue = E1#10,000,000,000#3 = 10^^10^^10^^10,000,000,000
googologialogialogue = E1#(10^100)#3 = 10^^10^^10^^10^100
trialogialogialogialogue or (1373) tria-quadri-logue = E1#3#4 = 10^^10^^10^^10^^3
tetralogialogialogialogue or (1374) tetra-quadri-logue = E1#4#4 = 10^^10^^10^^10^^4
dekalogialogialogialogue or (1375) deka-quadri-logue = E1#10#4 = 10^^10^^10^^10^^10
hectalogialogialogialogue or (1376) hecta-quadri-logue = E1#100#4 = 10^^10^^10^^10^^100
To leave the repeated -logues in the dust, why don't we have a new suffix? It is called -taxis, which simply means repeated power towers, or 10^^^. (formerly known as -teraksys suffix)
For example:
**tria-taxis = E1#1#3 = 10^^^3 (also dekalogialogue or (1030) deka-du-logue, formerly tria-teraksys)
tetra-taxis = E1#1#4 = 10^^^4 (also dekalogialogialogue or (1050) deka-tri-logue, formerly tetra-teraksys)
penta-taxis = E1#1#5 = 10^^^5 (also dekalogialogialogialogue or (1375) deka-quadri-logue, formerly penta-teraksys)
hexa-taxis = E1#1#6 = 10^^^6 (also (1377) deka-quinti-logue, formerly hexa-teraksys)
hepta-taxis = E1#1#7 = 10^^^7 (also (1378) deka-sexti-logue, formerly hepta-teraksys)
octa-taxis or (1379) ogda-taxis = E1#1#8 = 10^^^8 (also (1380) deka-septi-logue, formerly octa-teraksys)
enna-taxis = E1#1#9 = 10^^^9 (also (1381) deka-octi-logue, formerly enna-teraksys)
*deka-taxis = E1#1#10 = 10^^^10 (also (1382) deka-noni-logue, formerly deka-teraksys)
icosa-taxis = E1#1#20 = 10^^^20
trianta-taxis = E1#1#30 = 10^^^30
teranta-taxis = E1#1#40 = 10^^^40
penanta-taxis or (1383) peninta-taxis = E1#1#50 = 10^^^50
exanta-taxis = E1#1#60 = 10^^^60
eptata-taxis = E1#1#70 = 10^^^70
ogdata-taxis = E1#1#80 = 10^^^80
entata-taxis = E1#1#90 = 10^^^90
hecta-taxis = E1#1#100 = 10^^^100
Hecta-taxis is also known as "gaggol" by Jonathan Bowers. Moving on... (since DLM coined many -taxis numbers, I will not list them all)
dohecta-taxis = E1#1#200 = 10^^^200
triahecta-taxis = E1#1#300 = 10^^^300
tetrahecta-taxis = E1#1#400 = 10^^^400
pentahecta-taxis = E1#1#500 = 10^^^500
hexahecta-taxis = E1#1#600 = 10^^^600
heptahecta-taxis = E1#1#700 = 10^^^700
octahecta-taxis = E1#1#800 = 10^^^800
ennahecta-taxis = E1#1#900 = 10^^^900
chilia-taxis or (1383a) kilo-taxis = E1#1#1000 = 10^^^1000
myria-taxis = E1#1#10,000 = 10^^^10,000
(1384) mega-taxis = E1#1#1,000,000 = 10^^^1,000,000
octadia-taxis = E1#1#100,000,000 = 10^^^100,000,000
(1385) giga-taxis = E1#1#1,000,000,000 = 10^^^1,000,000,000
(1386) tera-taxis = E1#1#1,000,000,000,000 = 10^^^1,000,000,000,000
(1387) peta-taxis = E1#1#(10^15) = 10^^^(10^15)
sedeniadia-taxis = E1#1#(10^16) = E1#1#10,000,000,000,000,000
(1388) exa-taxis = E1#1#(10^18) = 10^^^(10^18)
(1389) zetta-taxis = E1#1#(10^21) = 10^^^(10^21)
(1390) yotta-taxis = E1#1#(10^24) = 10^^^(10^24)
(1391) ronna-taxis = E1#1#(10^27) = 10^^^(10^27)
(1392) quetta-taxis = E1#1#(10^30) = 10^^^(10^30)
...
dialogia-taxis = E1#1#(10^10) = 10^^^10^10
guppia-taxis = E1#1#(10^20) = 10^^^10^20
gogolia-taxis = E1#1#(10^50) = 10^^^10^50
googolia-taxis = E1#1#(10^100) = 10^^^10^100
googoldingia-taxis = E1#1#(10^500) = 10^^^10^500
googolchimia-taxis = E1#1#(10^1000) = 10^^^10^1000
googolbellia-taxis = E1#1#(10^5000) = 10^^^10^5000
googoltollia-taxis = E1#1#(10^10,000) = 10^^^10^10,000
(1393) googolringia-taxis = E1#1#(10^50,000) = 10^^^10^50,000
googolgongia-taxis = E1#1#(10^100,000) = 10^^^10^100,000
(1394) googolclangia-taxis = E1#1#(10^500,000) = 10^^^10^500,000
googolbongia-taxis = E1#1#(10^100,000,000) = 10^^^10^100,000,000
trialogia-taxis = E1#1#(EE10) = E1#1#(10^10^10) = 10^^^10^10^10
googolthrongia-taxis = E1#1#(EE11) = 10^^^10^10^11
...
googolplexia-taxis = E1#1#(EE100) = 10^^^10^10^100
tetralogia-taxis = E1#1#(EEE10) = E1#1#(10^10^10^10) = 10^^^10^10^10^10
googolduplexia-taxis = E1#1#(EEE100) = 10^^^10^10^10^100
pentalogia-taxis = E1#1#(E1#5) = 10^^^10^^5
...
dekalogia-taxis or (1395) deckeria-taxis = E1#1#(E1#10) = 10^^^10^^10
hectalogia-taxis or (1396) giggolia-taxis = E1#1#(E1#100) = 10^^^10^^100
(1397) grangolia-taxis = E1#1#(E100#100)
...
triataxia-taxis or (1398) tria-du-taxis = E1#1#(E1#1#3) = E1#1#3#2 = 10^^^10^^^3
(1399) giggolplexia-taxis or (1400) hecta-du-logia-taxis = E1#1#(E1#100#2) = 10^^^10^^10^^100
(1401) grangoldexia-taxis = E1#1#(E100#100#2)
tetrataxis-taxis or (1402) tetra-du-taxis = E1#1#(E1#1#4) = E1#1#4#2 = 10^^^10^^^4
dekataxia-taxis or (1403) deka-du-taxis = E1#1#10#2 = E1#1#1#3 = 10^^^10^^^10 = 10^^^^3
hectataxia-taxis or (1404) hecta-du-taxis = E1#1#100#2 = 10^^^10^^^100
Hectataxia-taxis is also known as "gaggolplex", and is also known as (1405) gaggolia-taxis.
triataxiataxia-taxis or (1406) tria-tri-taxis = E1#1#3#3 = 10^^^10^^^10^^^3
dekataxiataxia-taxis or (1407) deka-tri-taxis = E1#1#10#3 = E1#1#1#4 = 10^^^10^^^10^^^10 = 10^^^^4
hectataxiataxia-taxis = E1#1#100#3 = 10^^^10^^^10^^^100
These numbers will surely leave other numbers in the dust, by surpassing anything so far.
It seems that, we forgot the eceton combined with -logue, and -taxis... so, let's coin it here:
(1408) ecetonplexilogue = E1#(10^10^303)
(1409) ecetonduplexilogue = E1#(10^10^10^303)
(1410) eceto-grangologue = E1#(E303#303)
...
(1411) ecetonlogialogue or (1412) eceton-du-logue = 10^^10^^10^303
(1413) ecetondexilogue = E1#(E303#1#2) = 10^^ecetondex
...
(1414) eceto-grangoldexilogue = E1#(E303#303#2) = 10^^eceto-grangoldex
(1415) ecetonia-taxis = E1#1#(10^303) = 10^^^10^303
(1416) ecetonplexia-taxis = E1#1#(10^10^303) = 10^^^10^10^303
(1417) eceto-grangolia-taxis = E1#1#(E303#303)
(1418) ecetondexia-taxis = E1#1#(E303#1#2) ~ 10^^^10^^10^10^303
(1419) eceto-grangoldexia-taxis = E1#1#(E303#303#2)
...
That wraps up the eceton series. Moving on to other languages like Latin and Greek names.
(1420) sectatorum perveniat = E[96]450#96420#2 (comparable to grangoldexigong)
(1421) evlogíes gia ólous (transliteration of Greek: Ευλογίες για όλους) = E256#2#25
(1422) tu me adiuvas (in Latin) = E1250#(This isn't my order!+1788185897034860408241325838985260255417) (Note: "This isn't my order!" is from Hayden's Meet yourself in 105°C)
(1423) ypostiríxete (transliteration of Greek: υποστηρίξετε) = E1#4434264882430377699482496306191498928029 = 10^^4434264882430377699482496306191498928029
Anyway... enough of it...
(1424-1471)
Let's coin some (not all) intermediate -plex and -dexes between 21 to 99 here:
First, googol-n-plex where n is between 21 and 99, inclusive:
(1424) googolunvigintiplex = E100#22
(1425) googolduovigintiplex = E100#23
(1426) googoltresvigintiplex = E100#24
(1427) googolquattuorvigintiplex = E100#25
(1428) googolquinvigintiplex = E100#26
(1429) googolsesvigintiplex = E100#27
(1430) googolseptenvigintiplex = E100#28
(1431) googoloctovigintiplex = E100#29
(1432) googolnovemvigintiplex = E100#30
...
(1433) googolseptenquinquagintiplex = E100#58
or perhaps, even longer when expanding from 101 to 999, like:
(1434) googolquattuorquinquagintitrecentiplex = E100#355
(1435) googoldeciquadringentiplex = E100#411
(1436) googolsestrigintiseptingentiplex = E100#737
(1437) googolnovenonagintinongentiplex = E100#1000
How about -plexes that are more than 2,000?
Simple, just use the rules from -illions, except, 10^6 and higher will use different prefix. Example:
(1438) googoldumilliplex = E100#2001
(1439) googoltremilliplex = E100#3001
...
(1440) googolnonimilli-centiplex = E100#9101
(1441) googoldecimegaplex = E100#10,000,001
The names look similar to -illions, right? Of course they are. Anyway, I will coin some of the googol-n-plex close to a milestone, like:
(1442) googolsesquinquagintiducentiplex = E100#257 (close to Mega)
(1443) googolseptitera-quinvigintisescentigiga-septenonagintiquingentimega-quattuoroctogintiquadringentimilli-quattuoroctogintinongentiplex = E100#(3^^3-2) (close to Tritri)
That's why it has complicated names!
Anyway, moving on... for grangol-n-dex... (I'll choose 5 randomly)
(1444) grangoltredecidex = E100#100#14
(1445) grangolquattuorvigintidex = E100#100#25
(1446) grangoltrequadragintidex = E100#100#44
(1447) grangoloctosexagintidex = E100#100#69
(1448) grangolquinseptuagintidex = E100#100#76
...
The next one, what if... gar-, fz-, traz-, megafuga- join forces with grangol? Here we go, here is the result:
(Note that gargrangol, is just the square of grangol, so, it's a naive extension, and will not be numbered)
(1449) fzgrangol = grangol^grangol ~ 10^grangol
(1450) trazgrangol = grangol^^3 ~ E100#102
(1451) megafugagrangol = grangol^^grangol = (E100#100)^^(E100#100) < grangoldex
(1452) gargoogol-dexed = E200#1#2 (the reason why it has -ed at the back, as gar- is applied to googol first, and then, added -dex later)
...
When -logue and -dex join forces...
(1453) monologuedex = E1#1#2 = E1#(E1) = E1#10 = 10^^10 (dekalogue)
(1454) dialoguedex = E1#2#2 = E1#(E1#2) = 10^^10^10 (dialogialogue or dia-du-logue)
(1455) trialoguedex = E1#3#2 = E1#(E1#3) = 10^^10^10^10 (trialogialogue)
You know the drill... let's skip to...
(1456) dekaloguedex = E1#10#2 = 10^^10^^10 (dekalogialogue or deka-du-logue)
The result is clear: when any numbers of the form h-logue-k-dex (h and k must be a positive integer) are equal to h-(k+1)-logue. For example, dekaloguedex is equal to deka-du-logue.
Last but not least, how about the n-ary version of grangol-k-dex?
(1457) binary-grangoldex = E[2]100#100#2
(1458) binary-grangoldudex = E[2]100#100#3
...
(1459) quinary-grangoldex = E[5]100#100#2
(1460) quinary-grangoldudex = E[5]100#100#3
...
(1461) octal-grangoldex = E[8]100#100#2
(1462) octal-grangoldudex = E[8]100#100#3
...
(1463) duodecimal-grangoldex = E[12]100#100#2
(1464) duodecimal-grangoldudex = E[12]100#100#3
...
(1465) hexadecimal-grangoldex = E[16]100#100#2
(1466) hexadecimal-grangoldudex = E[16]100#100#3
...
(1467) niftimal-grangoldex = E[36]100#100#2
(1468) niftimal-grangoldudex = E[36]100#100#3
We are now end this regiment with:
(1469) dialogialogia-taxis = 10^^^10^^10^10
(1470) The whimsy decimal version of grahal or (1471) heptetera-pentecosihexahectegiga-hepteenenintapentahectemega-tetraogdontatetrahectekilo-hepteogdontaennahectalogia-taxis = 10^^^10^^7,625,597,484,987
Let's go to the the next regiment!
(1472-1782)
Welcome to the third regiment, namely, greagol regiment. Here, greagol stands for great googol, which should not to be confused with other definitions as we will see later. Anyway, greagol is defined as:
greagol = E100#100#100
Greagol is comparable to and slightly larger than gaggol. In fact, greagol is comparable to 100^^^101 in arrow notation.
Let's compare some n-ary numbers here:
greagolbit or binary-greagol = E[2]100#100#100
greagolbyte = E[8]100#100#100
(also called octal-greagol)
ternary-greagol = E[3]100#100#100
quaternary-greagol = E[4]100#100#100
quinary-greagol = E[5]100#100#100
senary-greagol = E[6]100#100#100
duodecimal-greagol = E[12]100#100#100
hexadecimal-greagol = E[16]100#100#100
vigesimal-greagol = E[20]100#100#100
(1472) niftimal-greagol = E[36]100#100#100
sexagesimal-greagol = E[60]100#100#100
...
With the same reasoning as other regiments, we cannot simply use -dex, let alone -plex either, like:
greagolplex = 10^greagol
greagoldex = E100#100#101 (also known as grangolcentidex)
So, we invented the new suffix, namely -threx.
greagolthrex = E100#100#100#2 = E100#100#(E100#100#100) = E100#100#greagol
greagolduthrex = E100#100#100#3 = E100#100#(E100#100#100#2)
= E100#100#(E100#100#(E100#100)) = E100#100#greagolthrex
greagoltrithrex = E100#100#100#4
greagolquadrithrex = E100#100#100#5
greagolquintithrex = E100#100#100#6
greagolsextithrex = E100#100#100#7
greagolseptithrex = E100#100#100#8
greagoloctithrex = E100#100#100#9
greagolnonithrex = E100#100#100#10
greagoldecithrex = E100#100#100#11
...
greagolvigintithrex = E100#100#100#21
(1473) greagolquinquagintithrex = E100#100#100#51
greagolcentithrex = E100#100#100#101
(1474) greagolquingentithrex = E100#100#100#501
greagolmillithrex = E100#100#100#1001
greagolmilli-millithrex or (1475) greagolmegathrex = E100#100#100#1,000,001
(1476) greagolgigathrex = E100#100#100#1,000,000,001
...
(1477) greagolyottathrex = E100#100#100#(E24+1)
(1478) greagolronnathrex = E100#100#100#(E27+1)
(1479) greagolquettathrex = E100#100#100#(E30+1)
(1480) greagol-googolithrex = E100#100#100#(E100+1)
(1481) greagol-googolplexithrex = E100#100#100#(EE100+1)
(1482) greagol-googolduplexithrex = E100#100#100#(EEE100+1)
...
More insane numbers like:
(1483) greagol-grangolithrex = E100#100#100#(E100#100+1)
(1484) greagol-googoldexithrex = E100#100#100#(E100#1#2+1)
(1485) greagol-googolplexidexithrex = E100#100#100#(E100#2#2+1)
(1486) greagol-googolduplexidexithrex = E100#100#100#(E100#3#2+1)
(1487) greagol-googoltriplexidexithrex = E100#100#100#(E100#4#2+1)
(1488) greagol-googolquadriplexidexithrex = E100#100#100#(E100#5#2+1)
(1489) greagol-grangoldexithrex = E100#100#100#(E100#100#2+1)
(1490) greagol-googoldudexithrex = E100#100#100#(E100#1#3+1)
(1491) greagol-googolplexidudexithrex = E100#100#100#(E100#2#3+1)
(1492) greagol-grangoldudexithrex = E100#100#100#(E100#100#3+1)
(1493) greagol-greagolithrex = E100#100#100#(E100#100#100+1)
Next stop, apply more suffixes for more googolisms!
greagolding = E500#500#500
greagolthrexiding = E500#500#500#2
greagolduthrexiding = E500#500#500#3
(1494) greagoltrithrexiding = E500#500#500#4
(1495) greagolquadrithrexiding = E500#500#500#5
(1496) greagolquintithrexiding = E500#500#500#6
etc.
How about... the greagolchime series:
greagolchime = E1000#1000#1000
greagolthrexichime = E1000#1000#1000#2
greagolduthrexichime = E1000#1000#1000#3
greagoltrithrexichime = E1000#1000#1000#4
greagolquadrithrexichime = E1000#1000#1000#5
greagolquintithrexichime = E1000#1000#1000#6
and so on.
Greagolbell series:
greagolbell = E5000#5000#5000
greagolthrexibell = E5000#5000#5000#2
greagolduthrexibell = E5000#5000#5000#3
(1497) greagoltrithrexibell = E5000#5000#5000#4
(1498) greagolquadrithrexibell = E5000#5000#5000#5
(1499) greagolquintithrexibell = E5000#5000#5000#6
etc.
Greagoltoll series:
greagoltoll = E10,000#10,000#10,000
greagolthrexitoll = E10,000#10,000#10,000#2
greagolduthrexitoll = E10,000#10,000#10,000#3
greagoltrithrexitoll = E10,000#10,000#10,000#4
greagolquadrithrexitoll = E10,000#10,000#10,000#5
greagolquintithrexitoll = E10,000#10,000#10,000#6
etc.
Greagolring series:
(1500) greagolring = E50,000#50,000#50,000
(1501) greagolthrexiring = E50,000#50,000#50,000#2
(1502) greagolduthrexiring = E50,000#50,000#50,000#3
(1503) greagoltrithrexiring = E50,000#50,000#50,000#4
(1504) greagolquadrithrexiring = E50,000#50,000#50,000#5
(1505) greagolquintithrexiring = E50,000#50,000#50,000#6
etc.
The greagolgong series:
greagolgong ☆ = E100,000#100,000#100,000
greagolthrexigong = E100,000#100,000#100,000#2
greagolduthrexigong = E100,000#100,000#100,000#3
greagoltrithrexigong = E100,000#100,000#100,000#4
greagolquadrithrexigong = E100,000#100,000#100,000#5
greagolquintithrexigong = E100,000#100,000#100,000#6
...
greagoldecithrexigong = E100,000#100,000#100,000#11
(1506) grangolvigintithrexigong = E100,000#100,000#100,000#21
(1507) grangolquinquagintithrexigong = E100,000#100,000#100,000#51
(1508) grangolcentithrexigong = E100,000#100,000#100,000#101
(1509) grangolmillithrexigong = E100,000#100,000#100,000#1001
Greagolclang series:
(1510) greagolclang = E500,000#500,000#500,000
(1511) greagolthrexiclang = E500,000#500,000#500,000#2
(1512) greagolduthrexiclang = E500,000#500,000#500,000#3
(1513) greagoltrithrexiclang = E500,000#500,000#500,000#4
(1514) greagolquadrithrexiclang = E500,000#500,000#500,000#5
(1515) greagolquintithrexiclang = E500,000#500,000#500,000#6
Greagolbong series:
greagolbong = E100,000,000#100,000,000#100,000,000
greagolthrexibong = E100,000,000#100,000,000#100,000,000#2
greagolduthrexibong = E100,000,000#100,000,000#100,000,000#3
Greagolthrong series:
greagolthrong = E100,000,000,000#100,000,000,000#100,000,000,000
greagolthrexithrong = E100,000,000,000#100,000,000,000#100,000,000,000#2
greagolduthrexithrong = E100,000,000,000#100,000,000,000#100,000,000,000#3
Here's what happen when gaggol is mixed up with other suffixes:
gaggolding = E1#1#500 = 10^^^500
gaggolchime = E1#1#1000 = 10^^^1000
gaggolbell = E1#1#5000 = 10^^^5000
gaggoltoll = E1#1#10,000 = 10^^^10,000
(1516) gaggolring = E1#1#50,000 = 10^^^50,000
gaggolgong = E1#1#100,000 = 10^^^100,000
(1517) gaggolclang = E1#1#500,000 = 10^^^500,000
gaggolbong = E1#1#100,000,000 = 10^^^100,000,000
gaggolthrong = E1#1#100,000,000,000 = 10^^^100,000,000,000
gaggolgandingan = E1#1#100,000,000,000,000 = 10^^^100,000,000,000,000
There are more intermediate values that we can fill in the gaps, between greagol and greagolthrex:
googolthrex = E100#1#1#2 = E100#1#(E100) = E100#1#googol
(1517a) googolthrexigong = E100,000#1#1#2
googolplexithrex = E100#2#1#2 = E100#2#(EE100) = E100#2#googolplex
googolduplexithrex = E100#3#1#2 = E100#2#googolduplex
(1518) googoltriplexithrex = E100#4#1#2 = E100#2#googoltriplex
(1519) googolquadriplexithrex = E100#5#1#2 = E100#2#googolquadriplex
(1520) googolquintiplexithrex = E100#6#1#2 = E100#2#googolquintiplex
...
(1521) googoldeciplexithrex = E100#11#1#2 = E100#2#googoldeciplex
grangolthrex = E100#100#1#2 = E100#100#grangol
(1521a) grangolthrexigong = E100,000#100,000#1#2
googoldexithrex = E100#1#2#2 = E100#1#(E100#1#2)
(1521b) googoldexithrexigong = E100,000#1#2#2
(1522) googolplexidexithrex = E100#2#2#2
(1523) googolduplexidexithrex = E100#3#2#2
(1524) googoltriplexidexithrex = E100#4#2#2
grangoldexithrex = E100#100#2#2 = E100#100#grangoldex
(1524a) grangoldexithrexigong = E100,000#100,000#2#2
(1525) googoldudexithrex = E100#1#3#2
(1526) googolplexidudexithrex = E100#2#3#2
(1527) googolduplexidudexithrex = E100#3#3#2
(1528) googoltriplexidudexithrex = E100#4#3#2
grangoldudexithrex = E100#100#3#2 = E100#100#grangoldudex
(1528a) grangoldudexithrexigong = E100,000#100,000#3#2
(1529) googoltridexithrex = E100#1#4#2
(1530) googolplexitridexithrex = E100#2#4#2
(1531) googolduplexitridexithrex = E100#3#4#2
(1532) googoltriplexitridexithrex = E100#4#4#2
grangoltridexithrex = E100#100#4#2
(1533) googolquadridexithrex = E100#1#5#2
(1534) googolplexiquadridexithrex = E100#2#5#2
(1535) googolduplexiquadridexithrex = E100#3#5#2
(1536) googoltriplexiquadridexithrex = E100#4#5#2
(1537) grangolquadridexithrex = E100#100#5#2
(1538) googolquintidexithrex = E100#1#6#2
(1539) googolplexiquintidexithrex = E100#2#6#2
(1540) googolduplexiquintidexithrex = E100#3#6#2
(1541) googoltriplexiquintidexithrex = E100#4#6#2
(1542) grangolquintidexithrex = E100#100#6#2
...
(1543) googolsextidexithrex = E100#1#7#2
(1544) googolplexisextidexithrex = E100#2#7#2
(1545) grangolsextidexithrex = E100#100#7#2
...
(1546) googolseptidexithrex = E100#1#8#2
(1547) googolplexiseptidexithrex = E100#2#8#2
(1548) grangolseptidexithrex = E100#100#8#2
...
(1549) googoloctidexithrex = E100#1#9#2
(1550) googolplexioctidexithrex = E100#2#9#2
(1551) grangoloctidexithrex = E100#100#9#2
...
(1552) googolnonidexithrex = E100#1#10#2
(1553) googolplexinonidexithrex = E100#2#10#2
(1554) grangolnonidexithrex = E100#100#10#2
...
(1555) googoldecidexithrex = E100#1#11#2
(1556) googolplexidecidexithrex = E100#2#11#2
(1557) grangoldecidexithrex = E100#100#11#2
...
(1558) grangolvigintidexithrex = E100#100#21#2
(1559) grangolquinquagintidexithrex = E100#100#51#2
The next one: greagolthrex to greagolduthrex...
(1560) googolduthrex = E100#1#1#3
(1560a) googolduthrexigong = E100,000#1#1#3
(1561) googolplexiduthrex = E100#2#1#3
(1562) googolduplexiduthrex = E100#3#1#3
(1563) googoltriplexiduthrex = E100#4#1#3
(1564) googolquadriplexiduthrex = E100#5#1#3
(1565) googolquintiplexiduthrex = E100#6#1#3
(1566) googoldeciplexiduthrex = E100#11#1#3
grangolduthrex = E100#100#1#3
(1566a) grangolduthrexigong = E100,000#100,000#1#3
...
(1567) googoldexiduthrex = E100#1#2#3
(1568) googolplexidexiduthrex = E100#2#2#3
(1569) googolduplexidexiduthrex = E100#3#2#3
(1570) googoltriplexidexiduthrex = E100#4#2#3
grangoldexiduthrex = E100#100#2#3
...
(1571) googoldudexiduthrex = E100#1#3#3
(1572) googolplexidudexiduthrex = E100#2#3#3
(1573) googolduplexidudexiduthrex = E100#3#3#3
(1574) googoltriplexidudexiduthrex = E100#4#3#3
grangoldudexiduthrex = E100#100#3#3
...
(1575) googoltridexiduthrex = E100#1#4#3
(1576) googolplexitridexiduthrex = E100#2#4#3
(1577) googolduplexitridexiduthrex = E100#3#4#3
(1578) googoltriplexitridexiduthrex = E100#4#4#3
grangoltridexiduthrex = E100#100#4#3
...
(1579) googolquadridexiduthrex = E100#1#5#3
(1580) googolplexiquadridexiduthrex = E100#2#5#3
(1581) googolduplexiquadridexiduthrex = E100#3#5#3
(1582) googoltriplexiquadridexduthrex = E100#4#5#3
(1583) grangolquadridexiduthrex = E100#100#5#3
(1584) googolquintidexiduthrex = E100#1#6#3
(1585) googolplexiquintidexiduthrex = E100#2#6#3
(1586) googolduplexiquintidexiduthrex = E100#3#6#3
(1587) googoltriplexiquintidexiduthrex = E100#4#6#3
(1588) grangolquintidexiduthrex = E100#100#6#3
...
(1589) googolsextidexiduthrex = E100#1#7#3
(1590) googolplexisextidexiduthrex = E100#2#7#3
(1591) grangolsextidexiduthrex = E100#100#7#3
...
(1592) googolseptidexiduthrex = E100#1#8#3
(1593) googolplexiseptidexiduthrex = E100#2#8#3
(1594) grangolseptidexiduthrex = E100#100#8#3
...
(1595) googoloctidexiduthrex = E100#1#9#3
(1596) googolplexioctidexiduthrex = E100#2#9#3
(1597) grangoloctidexiduthrex = E100#100#9#3
...
(1598) googolnonidexiduthrex = E100#1#10#3
(1599) googolplexinonidexiduthrex = E100#2#10#3
(1600) grangolnonidexiduthrex = E100#100#10#3
...
(1601) googoldecidexiduthrex = E100#1#11#3
(1602) googolplexidecidexiduthrex = E100#2#11#3
(1603) grangoldecidexiduthrex = E100#100#11#3
...
(1604) grangolvigintidexiduthrex = E100#100#21#3
(1605) grangolquinquagintidexiduthrex = E100#100#51#3
The next one: greagolduthrex to greagoltrithrex...
(1606) googoltrithrex = E100#1#1#4
(1607) googolplexitrithrex = E100#2#1#4
(1608) googolduplexitrithrex = E100#3#1#4
(1609) googoltriplexitrithrex = E100#4#1#4
(1610) googolquadriplexitrithrex = E100#5#1#4
(1611) googolquintiplexitrithrex = E100#6#1#4
(1612) googoldeciplexitrithrex = E100#11#1#4
grangoltrithrex = E100#100#1#4
...
(1613) googoldexitrithrex = E100#1#2#4
(1614) googolplexidexitrithrex = E100#2#2#4
(1615) googolduplexidexitrithrex = E100#3#2#4
(1616) googoltriplexidexitrithrex = E100#4#2#4
grangoldexitrithrex = E100#100#2#4
...
(1617) googoldudexitrithrex = E100#1#3#4
(1618) googolplexidudexitrithrex = E100#2#3#4
(1619) googolduplexidudexitrithrex = E100#3#3#4
(1620) googoltriplexidudexitrithrex = E100#4#3#4
grangoldudexitrithrex = E100#100#3#4
...
(1621) googoltridexitrithrex = E100#1#4#4
(1622) googolplexitridexitrithrex = E100#2#4#4
(1623) googolduplexitridexitrithrex = E100#3#4#4
(1624) googoltriplexitridexitrithrex = E100#4#4#4
(1624a) grangoltridexitrithrex = E100#100#4#4
...
(1625) googolquadridexitrithrex = E100#1#5#4
(1626) googolplexiquadridexitrithrex = E100#2#5#4
(1627) googolduplexiquadridexitrithrex = E100#3#5#4
(1628) googoltriplexiquadridextrithrex = E100#4#5#4
(1629) grangolquadridexitrithrex = E100#100#5#4
...
(1630) googolquintidexitrithrex = E100#1#6#4
(1631) googolplexiquintidexitrithrex = E100#2#6#4
(1632) googolduplexiquintidexitrithrex = E100#3#6#4
(1633) googoltriplexiquintidexitrithrex = E100#4#6#4
(1634) grangolquintidexitrithrex = E100#100#6#4
...
(1635) googolsextidexitrithrex = E100#1#7#4
(1636) googolplexisextidexitrithrex = E100#2#7#4
(1637) grangolsextidexitrithrex = E100#100#7#4
...
(1638) googolseptidexitrithrex = E100#1#8#4
(1639) googolplexiseptidexitrithrex = E100#2#8#4
(1640) grangolseptidexitrithrex = E100#100#8#4
...
(1641) googoloctidexitrithrex = E100#1#9#4
(1642) googolplexioctidexitrithrex = E100#2#9#4
(1643) grangoloctidexitrithrex = E100#100#9#4
...
(1644) googolnonidexitrithrex = E100#1#10#4
(1645) googolplexinonidexitrithrex = E100#2#10#4
(1646) grangolnonidexitrithrex = E100#100#10#4
...
(1647) googoldecidexitrithrex = E100#1#11#4
(1648) googolplexidecidexitrithrex = E100#2#11#4
(1649) grangoldecidexitrithrex = E100#100#11#4
...
(1650) grangolvigintidexitrithrex = E100#100#21#4
(1651) grangolquinquagintidexitrithrex = E100#100#51#4
The next one: greagoltrithrex to greagolquadrithrex (speeding up now)...
(1652) googolquadrithrex = E100#1#1#5
(1653) googolplexiquadrithrex = E100#2#1#5
grangolquadrithrex = E100#100#1#5
...
(1654) googoldexiquadrithrex = E100#1#2#5
grangoldexiquadrithrex = E100#100#2#5
(1655) googoldudexiquadrithrex = E100#1#3#5
grangoldudexiquadrithrex = E100#100#3#5
(1656) googoltridexiquadrithrex = E100#1#4#5
(1656a) grangoltridexiquadrithrex = E100#100#4#5
...
(1657) googolquadridexiquadrithrex = E100#1#5#5
(1658) googolquadriplexiquadridexiquadrithrex = E100#5#5#5
(1659) grangolquadridexiquadrithrex = E100#100#5#5
...
(1660) googolquintidexiquadrithrex = E100#1#6#5
(1661) grangolquintidexiquadrithrex = E100#100#6#5
...
(1662) googolsextidexiquadrithrex = E100#1#7#5
(1663) grangolsextidexiquadrithrex = E100#100#7#5
...
(1664) googolseptidexiquadrithrex = E100#1#8#5
(1665) grangolseptidexiquadrithrex = E100#100#8#5
...
(1666) googoloctidexiquadrithrex = E100#1#9#5
(1667) grangoloctidexiquadrithrex = E100#100#9#5
...
(1668) googolnonidexiquadrithrex = E100#1#10#5
(1669) grangolnonidexiquadrithrex = E100#100#10#5
...
(1670) googoldecidexiquadrithrex = E100#1#11#5
(1671) grangoldecidexiquadrithrex = E100#100#11#5
...
(1672) grangolquinquagintidexiquadrithrex = E100#100#51#5
etc.
The next one: greagolquadrithrex to greagolquintithrex...
(1673) googolquintithrex = E100#1#1#6
(1674) googolplexiquintithrex = E100#2#1#6
grangolquintithrex = E100#100#1#6
...
(1675) googoldexiquintithrex = E100#1#2#6
grangoldexiquintithrex = E100#100#2#6
(1676) googoldudexiquintithrex = E100#1#3#6
grangoldudexiquintithrex = E100#100#3#6
(1677) googoltridexiquintithrex = E100#1#4#6
(1678) grangoltridexiquintithrex = E100#100#4#6
...
(1679) googolquadridexiquintithrex = E100#1#5#6
(1680) grangolquadridexiquintithrex = E100#100#5#6
...
(1681) googolquintidexiquintithrex = E100#1#6#6
(1682) googolquintiplexiquintidexiquintithrex = E100#6#6#6
(1683) grangolquintidexiquintithrex = E100#100#6#6
...
(1684) googolsextidexiquintithrex = E100#1#7#6
(1685) grangolsextidexiquintithrex = E100#100#7#6
...
(1686) googolseptidexiquintithrex = E100#1#8#6
(1687) grangolseptidexiquintithrex = E100#100#8#6
...
(1688) googoloctidexiquintithrex = E100#1#9#6
(1689) grangoloctidexiquintithrex = E100#100#9#6
...
(1690) googolnonidexiquintithrex = E100#1#10#6
(1691) grangolnonidexiquintithrex = E100#100#10#6
...
(1692) googoldecidexiquintithrex = E100#1#11#6
(1693) grangoldecidexiquintithrex = E100#100#11#6
...
(1694) grangolquinquagintidexiquintithrex = E100#100#51#6
etc.
Let's combine -sextithrex to -decithrex together...
(1695) googolsextithrex = E100#1#1#7
(1696) googolplexisextithrex = E100#2#1#7
(1697) grangolsextithrex = E100#100#1#7
(1698) grangoldexisextithrex = E100#100#2#7
(1699) grangoldudexisextithrex = E100#100#3#7
(1700) grangoltridexisextithrex = E100#100#4#7
etc.
...
(1701) googolseptithrex = E100#1#1#8
(1702) googolplexiseptithrex = E100#2#1#8
(1703) grangolseptithrex = E100#100#1#8
(1704) grangoldexiseptithrex = E100#100#2#8
(1705) grangoldudexiseptithrex = E100#100#3#8
(1706) grangoltridexiseptithrex = E100#100#4#8
etc.
...
(1707) googoloctithrex = E100#1#1#9
(1708) googolplexioctithrex = E100#2#1#9
(1709) grangoloctithrex = E100#100#1#9
(1710) grangoldexioctithrex = E100#100#2#9
(1711) grangoldudexioctithrex = E100#100#3#9
(1712) grangoltridexiseptithrex = E100#100#4#9
etc.
...
(1713) googolnonithrex = E100#1#1#10
(1714) googolplexinonithrex = E100#2#1#10
(1715) grangolnonithrex = E100#100#1#10
(1716) grangoldexinonithrex = E100#100#2#10
(1717) grangoldudexinonithrex = E100#100#3#10
(1718) grangoltridexinonithrex = E100#100#4#10
etc.
...
(1719) googoldecithrex = E100#1#1#11
(1720) googolplexidecithrex = E100#2#1#11
(1721) grangoldecithrex = E100#100#1#11
(1722) grangoldexidecithrex = E100#100#2#11
(1723) grangoldudexidecithrex = E100#100#3#11
(1724) grangoltridexidecithrex = E100#100#4#11
etc., and so on.
Before moving on to the next regiment, I will form an extension of a million and some other numbers.
(1725) millithrexion = E6#1#1#2
(1726) milliplexithrexion = E6#2#1#2
(1727) millidexithrexion = E6#1#2#2
(1728) milliduthrexion = E6#1#1#3
(1729) millitrithrexion = E6#1#1#4
(1730) milliquadrithrexion = E6#1#1#5
(1731) milliquintithrexion = E6#1#1#6
and others...
So, how about eceton?
eceto-greagol = E303#303#303
ecetonthrex = E303#1#1#2
ecetonplexithrex = E303#2#1#2
eceto-grangolthrex = E303#303#1#2
ecetondexithrex = E303#1#2#2
(1732) ecetonplexidexithrex = E303#2#2#2
eceto-grangoldexithrex = E303#303#2#2
(1733) ecetondudexithrex = E303#1#3#2
eceto-grangoldudexithrex = E303#303#3#2
(1734) ecetontridexithrex = E303#1#4#2
(1735) eceto-grangoltridexithrex = E303#303#4#2
(1736) ecetonquadridexithrex = E303#1#5#2
(1737) eceto-grangolquadridexithrex = E303#303#5#2
(1738) ecetonquintidexithrex = E303#1#6#2
(1739) eceto-grangolquintidexithrex = E303#303#6#2
eceto-greagolthrex = E303#303#303#2
etc.
ecetonduthrex = E303#1#1#3
(1739a) ecetondexiduthrex = E303#1#2#3
(1739b) ecetondudexiduthrex = E303#1#3#3
(1739c) ecetonduplexidudexiduthrex = E303#3#3#3
(1739d) ecetontridexiduthrex = E303#1#4#3
eceto-greagolduthrex = E303#303#303#3
ecetontrithrex = E303#1#1#4
(1739e) ecetondexitrithrex = E303#1#2#4
(1739f) ecetondudexitrithrex = E303#1#3#4
eceto-greagoltrithrex = E303#303#303#4
ecetonquadrithrex = E303#1#1#5
(1739g) ecetondexiquadrithrex = E303#1#2#5
(1739h) ecetondudexiquadrithrex = E303#1#3#5
eceto-greagolquadrithrex = E303#303#303#5
ecetonquintithrex = E303#1#1#6
(1739i) ecetondexiquintithrex = E303#1#2#6
(1739h) ecetondudexiquintithrex = E303#1#3#6
eceto-greagolquintithrex = E303#303#303#6
At last, we can wrap up with a 10^^^ towers:
tria-petaxis = E1#1#1#3 = 10^^^^3 (former name: tria-petaksys, also dekataxia-taxis or deka-du-taxis)
tetra-petaxis = E1#1#1#4 = 10^^^^4 (former name: tetra-petaksys, also dekataxiataxia-taxis or deka-tri-taxis)
penta-petaxis = E1#1#1#5 = 10^^^^5 (former name: penta-petaksys)
hexa-petaxis = E1#1#1#6 = 10^^^^6 (former name: hexa-petaksys)
hepta-petaxis = E1#1#1#7 = 10^^^^7
octa-petaxis or (1740) ogda-petaxis = E1#1#1#8 = 10^^^^8
enna-petaxis = E1#1#1#9 = 10^^^^9
deka-petaxis = E1#1#1#10 = 10^^^^10
...
icosa-petaxis = E1#1#1#20 = 10^^^^20
...
penanta-petaxis or (1741) peninta-petaxis = E1#1#1#50 = 10^^^^50
...
hecta-petaxis = E1#1#1#100 = 10^^^^100
Hecta-petaxis is also known as "geegol" by Jonathan Bowers.
chilia-petaxis = E1#1#1#1000 = 10^^^^1000
myria-petaxis = E1#1#1#10,000 = 10^^^^10,000
hecta-chilia-petaxis = E1#1#1#100,000 = 10^^^^100,000
chilia-chilia-petaxis or (1742) mega-petaxis = E1#1#1#1,000,000 = 10^^^^1,000,000
chilia-myria-petaxis = E1#1#1#10,000,000 = 10^^^^10,000,000
myria-myria-petaxis = E1#1#1#100,000,000 = 10^^^^100,000,000
(also called octadia-petaxis)
(1743) giga-petaxis = E1#1#1#1,000,000,000 = 10^^^^1,000,000,000
(1744) tera-petaxis = E1#1#1#(10^12) = 10^^^^10^12
(1745) peta-petaxis = E1#1#1#(10^15) = 10^^^^10^15
sedeniadia-petaxis = E1#1#1#(10^16) = 10^^^^10^16
(1746) exa-petaxis = E1#1#1#(10^18) = 10^^^^10^18
(1747) zetta-petaxis = E1#1#1#(10^21) = 10^^^^10^21
(1748) yotta-petaxis = E1#1#1#(10^24) = 10^^^^10^24
(1749) ronna-petaxis = E1#1#1#(10^27) = 10^^^^10^27
(1750) quetta-petaxis = E1#1#1#(10^30) = 10^^^^10^30
Break it first... let's see when gaggol mixes up with other suffixes (with -plex).
**gaggolplex = E1#1#giggol = 10^^^gaggol = E1#1#100#2 = 10^^^10^^^100
(1751) gaggolplexiding = E1#1#gaggolding = 10^^^gaggolding = E1#1#500#2 = 10^^^10^^^500
(1752) gaggolplexichime = E1#1#gaggolchime = 10^^^gaggolchime = E1#1#1000#2 = 10^^^10^^^1000
(1753) gaggolplexibell = E1#1#gaggolbell = 10^^^gaggolbell = E1#1#5000#2 = 10^^^10^^^5000
(1754) gaggolplexitoll = E1#1#gaggoltoll = 10^^^gaggoltoll = E1#1#10,000#2 = 10^^^10^^^10,000
(1755) gaggolplexiring = E1#1#gaggolring = 10^^^gaggolring = E1#1#50,000#2 = 10^^^10^^^50,000
(1756) gaggolplexigong = E1#1#gaggolgong = 10^^^gaggolgong = E1#1#100,000#2 = 10^^^10^^^100,000
(1757) gaggolplexiclang = E1#1#gaggolclang = 10^^^gaggolclang = E1#1#500,000#2 = 10^^^10^^^500,000
(1758) gaggolplexibong = E1#1#gaggolbong = 10^^^gaggolbong = E1#1#100,000,000#2 = 10^^^10^^^100,000,000
(1759) gaggolplexithrong = E1#1#gaggolthrong = 10^^^gaggolthrong = 10^^^10^^^100,000,000,000
(1760) gaggolplexigandingan = E1#1#gaggolgandingan = E1#1#(E14)#2
*gaggolduplex = 10^^^10^^^10^^^100 = E1#1#100#3
(1761) gaggolduplexichime = 10^^^10^^^10^^^1000 = E1#1#1000#3
(1762) gaggolduplexitoll = 10^^^10^^^10^^^10,000 = E1#1#10,000#3
(1763) gaggolduplexigong = 10^^^10^^^10^^^100,000 = E1#1#100,000#3
(1764) gaggolduplexibong = 10^^^10^^^10^^^100,000,000 = E1#1#100,000,000#3
(1765) gaggolduplexithrong = 10^^^10^^^10^^^100,000,000,000 = E1#1#100,000,000,000#3
(1766) gaggolduplexigandingan = 10^^^10^^^10^^^100,000,000,000,000 = E1#1#(10^14)#3
Now continuing the -petaxis series...
dialogia-petaxis = E1#1#1#10,000,000,000
googolia-petaxis = E1#1#1#(E100)
trialogia-petaxis = E1#1#1#(E1#3) = 10^^^^10^^3
googolplexia-petaxis = E1#1#1#(EE100)
dekalogia-petaxis = E1#1#1#(E1#10) = 10^^^^10^^10
hectalogia-petaxis or (1767) giggolia-petaxis = E1#1#1#(E1#100) = 10^^^^10^^100
(1768) grangolia-petaxis = E1#1#1#(E100#100)
(1769) dia-du-logia-petaxis = E1#1#1#(E1#10^10) = 10^^^^10^^10^10
(1770) googologia-petaxis = E1#1#1#(E1#E100) = 10^^^^10^^10^100
tria-taxia-petaxis = E1#1#1#(E1#1#3) = 10^^^^10^^^3
(1770) giggolplexia-petaxis = E1#1#1#(E1#100#2) = 10^^^^10^^10^^100
(1771) grangoldexia-petaxis = E1#1#1#(E100#100#2)
tetra-taxia-petaxis = E1#1#1#(E1#1#4) = 10^^^^10^^^4
(1772) giggolduplexia-petaxis = E1#1#1#(E1#100#3) = 10^^^^10^^10^^10^^100
(1773) grangoldudexia-petaxis = E1#1#1#(E100#100#3)
(1774) penta-taxia-petaxis = E1#1#1#(E1#1#5) = 10^^^^10^^^5
(1774) grangoltridexia-petaxis = E1#1#1#(E100#100#4)
deka-taxia-petaxis = E1#1#1#(E1#1#10) = 10^^^^10^^^10
hecta-taxia-petaxis or (1775) gaggolia-petaxis = E1#1#1#(E1#1#100) = 10^^^^10^^^100
(1776) greagolia-petaxis = E1#1#1#(E100#100#100)
(1777) googologia-taxia-petaxis = E1#1#1#(E1#1#E100) = 10^^^^10^^^10^^10^100
tria-petaxia-petaxis or (1778) deka-du-taxia-petaxis = E1#1#1#(E1#1#1#3) = E1#1#1#3#2 = 10^^^^10^^^^3 = 10^^^^10^^^10^^^10
(1779) gaggolplexia-petaxis = E1#1#1#(E1#1#100#2) = 10^^^^10^^^10^^^100
(1780) greagolthrexia-petaxis = E1#1#1#(E100#100#100#2)
tetra-petaxia-petaxis = E1#1#1#(E1#1#1#4) = E1#1#1#4#2 = 10^^^^10^^^^4
(1781) gaggolduplexia-petaxis = E1#1#1#(E1#1#100#3) = 10^^^^10^^^10^^^10^^^100
(1782) greagolduthrexia-petaxis = E1#1#1#(E100#100#100#3)
deka-petaxia-petaxis = E1#1#1#(E1#1#1#10) = E1#1#1#10#2 = E1#1#1#1#3 = 10^^^^10^^^^10 = 10^^^^^3
hecta-petaxia-petaxis = E1#1#1#(E1#1#1#100) = E1#1#1#100#2 = 10^^^^10^^^^100
There's more to come later, stay tuned for that...
(1783-1824)
But, before moving on to the next page for the new regiments, I will add alternative names for giggol-n-plex, and gaggol-n-plex.
**giggolplex or (1783) giggoldex = E1#giggol = E1#100#2 = 10^^giggol = 10^^10^^100
(1357) giggolplexiding or (1784) giggoldexiding = E1#giggolding = E1#500#2 = 10^^giggolding = 10^^10^^500
(1358) giggolplexichime or (1785) giggoldexichime = E1#giggolchime = E1#1000#2 = 10^^giggolchime = 10^^10^^1000
(1359) giggolplexibell or (1786) giggoldexibell = E1#giggolbell = E1#5000#2 = 10^^giggolbell = 10^^10^^5000
(1360) giggolplexitoll or (1787) giggoldexitoll = E1#giggoltoll = E1#10,000#2 = 10^^giggoltoll = 10^^10^^10,000
(1361) giggolplexiring or (1788) giggoldexiring = E1#giggolring = E1#50,000#2 = 10^^giggolring = 10^^10^^50,000
(1362) giggolplexigong or (1789) giggoldexigong = E1#giggolgong = E1#100,000#2 = 10^^giggolgong = 10^^10^^100,000
(1363) giggolplexiclang or (1790) giggoldexiclang = E1#giggolclang = E1#500,000#2 = 10^^giggolclang = 10^^10^^500,000
(1364) giggolplexibong or (1791) giggoldexibong = E1#giggolbong = 10^^giggolbong = E1#100,000,000#2 = 10^^10^^100,000,000
(1365) giggolplexithrong or (1792) giggoldexithrong = E1#giggolthrong = 10^^giggolthrong = E1#100,000,000,000#2 = 10^^10^^100,000,000,000
(1366) giggolplexigandingan or (1793) giggoldexigandingan = E1#giggolgandingan
*giggolduplex or (1794) giggoldudex = E1#100#3 = 10^^10^^10^^100
(1367) giggolduplexichime or (1795) giggoldudexichime = E1#1000#3 = 10^^10^^10^^1000
(1368) giggolduplexitoll or (1796) giggoldudexitoll = E1#10,000#3 = 10^^10^^10^^10,000
(1369) giggolduplexigong or (1797) giggoldudexigong = E1#100,000#3 = 10^^10^^10^^100,000
(1369a) giggolduplexibong or (1798) giggoldudexibong = 10^^10^^10^^100,000,000
(1369b) giggolduplexithrong or (1799) giggoldudexithrong = 10^^10^^10^^100,000,000,000
(1369c) giggolduplexigandingan or (1800) giggoldudexigandingan = 10^^10^^10^^100,000,000,000,000
etc.
*gaggolplex or (1801) gaggolthrex = E1#1#giggol = 10^^^gaggol = E1#1#100#2 = 10^^^10^^^100
(1751) gaggolplexiding or (1802) gaggolthrexiding = E1#1#gaggolding = 10^^^gaggolding = E1#1#500#2 = 10^^^10^^^500
(1752) gaggolplexichime or (1803) gaggolthrexichime = E1#1#gaggolchime = 10^^^gaggolchime = E1#1#1000#2 = 10^^^10^^^1000
(1753) gaggolplexibell or (1804) gaggolthrexibell = E1#1#gaggolbell = 10^^^gaggolbell = E1#1#5000#2 = 10^^^10^^^5000
(1754) gaggolplexitoll or (1805) gaggolthrexitoll = E1#1#gaggoltoll = 10^^^gaggoltoll = E1#1#10,000#2 = 10^^^10^^^10,000
(1755) gaggolplexiring or (1806) gaggolthrexiring = E1#1#gaggolring = 10^^^gaggolring = E1#1#50,000#2 = 10^^^10^^^50,000
(1756) gaggolplexigong or (1807) gaggolthrexigong = E1#1#gaggolgong = 10^^^gaggolgong = E1#1#100,000#2 = 10^^^10^^^100,000
(1757) gaggolplexiclang or (1808) gaggolthrexiclang = E1#1#gaggolclang = 10^^^gaggolclang = E1#1#500,000#2 = 10^^^10^^^500,000
(1758) gaggolplexibong or (1809) gaggolthrexibong = E1#1#gaggolbong = 10^^^gaggolbong = E1#1#100,000,000#2 = 10^^^10^^^100,000,000
(1759) gaggolplexithrong or (1810) gaggolthrexithrong = E1#1#gaggolthrong = 10^^^gaggolthrong = 10^^^10^^^100,000,000,000
(1760) gaggolplexigandingan or (1811) gaggolthrexigandingan = E1#1#gaggolgandingan = E1#1#(E14)#2
*gaggolduplex or (1812) gaggolduthrex = 10^^^10^^^10^^^100 = E1#1#100#3
(1761) gaggolduplexichime or (1813) gaggolduthrexichime = 10^^^10^^^10^^^1000 = E1#1#1000#3
(1762) gaggolduplexitoll or (1814) gaggolduthrexitoll = 10^^^10^^^10^^^10,000 = E1#1#10,000#3
(1763) gaggolduplexigong or (1815) gaggolduthrexigong = 10^^^10^^^10^^^100,000 = E1#1#100,000#3
(1764) gaggolduplexibong or (1816) gaggolduthrexibong = 10^^^10^^^10^^^100,000,000 = E1#1#100,000,000#3
(1765) gaggolduplexithrong or (1817) gaggolduthrexithrong = 10^^^10^^^10^^^100,000,000,000 = E1#1#100,000,000,000#3
(1766) gaggolduplexigandingan or (1818) gaggolduthrexigandingan = 10^^^10^^^10^^^100,000,000,000,000 = E1#1#(10^14)#3
Centesimal version of grangoldex and greagol(-threx):
(1819) centesimal-grangoldex = E[100]100#100#2 = 100^^100^^101
(1820) centesimal-grangoldudex = E[100]100#100#3 = 100^^100^^100^^101
(1821) centesimal-grangoltridex = E[100]100#100#4 = 100^^100^^100^^100^^101
(1822) centesimal-greagol = E[100]100#100#100 ~ 100^^^101
(1823) centesimal-greagolthrex = E[100]100#100#100#2 ~ 100^^^100^^^101
...
Let's finish up with, Hyper-E name of booga-n:
(1823) quinary-penta-taxis = 5^^^5
(1824) senary-hexa-petaxis = 6^^^^6
Lights out! Now entering the next regiments in................. the next page.