E15 - Throogol regiment
Throogol super regiment
Category 29 - 37
Regiment block 41 - 49
Members: 1153 (269 original + 884 new ~ GREAT!)
Now, we reached an extraordinary super regiment, the throogol super regiment, with three consecutive hyperions (###)!
Throogol regiment
Category 29
Regiment block 41
Members: 446 (Yes, larger than Saibian's original regiment with 391!)
(5001 - 5446)
[FGH level ω^2 => ω^2*2]
Level 1 | Stage 3-4
Stage 3-4 ~ Third googols / Breaking two-hyperion level
Now for some REALLY BIG numbers...
Imagine Continuing the following pattern: Let E100 (googol) be Stage 1, Let E100##100 (gugold) be Stage 2, Let E100##100##100 (gugolthra) be Stage 3, Let E100##100##100##100 (gugoltesla) be Stage 4, Let E100##100##100##100##100 (gugolpeta) be Stage 5, Let E100##100##100##100##100##100 (gugolhexa) be Stage 6, Let E100##100##100##100##100##100##100 (gugolhepta) be Stage 7, Let E100##100##100##100##100##100##100##100 (gugolocta) be Stage 8, E100###9 (gugolenna) be Stage 9, E100###10 (gugoldeka) be Stage 10 ...
and now continue to the Stage 100 ...
That is throogol (from "third googol", formerly goohoolgol). So we define:
(5001) throogol ☆★✪ = E100###100
= E100##100##100##100## ... ... ... ... ... ... ... ... ##100##100##100 (w/ 100 100s)
*alternatively (5002) throogord, a corruption of googol+third
If just getting rid of the first two ##s on the right is impossible, imagine how difficult it would be to reduce the whole thing to E#!!!
Now we could keep creating more suffixes for appending a hyperion, ie. @#2, @#3, @#4, etc. but this will become overly cumbersome as we progress through the rest of xE#. Instead I have opted to create a general root, which applies primitive recursions at any recursive level. This root is simply "grand" by placing grand before any number from throogol onwards, we get one recursive step from that number. For example we can have...
(5003) grand throogol ☆ = E100###100#2 = E100###throogol
Miserly, Saibian didn't even have "grand grand throogol", so...
(5004) grand grand throogol = E100###100#3 = E100###grand throogol
(5005) grand grand grand throogol = E100###100#4
*alternatively (5006) three-ex-grand throogol and (5007) triple grand throogol
(5008) grand grand grand grand throogol = E100###100#5
*alternatively (5009) four-ex-grand throogol and (5010) quadruple grand throogol
(5011) five-ex-grand throogol = (5012) quintuple grand throogol
= E100###100#6
(5013) six-ex-grand throogol = (5014) sextuple grand throogol
= E100###100#7
(5015) seven-ex-grand throogol = (5016) septuple grand throogol
= E100###100#8
(5017) eight-ex-grand throogol = (5018) octuple grand throogol
= E100###100#9
(5019) nine-ex-grand throogol = (5020) nonuple grand throogol
= E100###100#10
(5021) ten-ex-grand throogol = (5022) decuple grand throogol
= E100###100#11
...
(5023) twenty-ex-grand throogol = (5024) vigintuple grand throogol
= E100###100#21
(5025) thirty-ex-grand throogol = (5026) trigintuple grand throogol
= E100###100#31
(5027) forty-ex-grand throogol = (5028) quadragintuple grand throogol
= E100###100#41
(5029) fifty-ex-grand throogol = (5030) quinquagintuple grand throogol
= E100###100#51
(5031) sixty-ex-grand throogol = (5032) sexagintuple grand throogol
= E100###100#61
(5033) seventy-ex-grand throogol = (5034) septuagintuple grand throogol
= E100###100#71
(5035) eighty-ex-grand throogol = (5036) octogintuple grand throogol
= E100###100#81
(5037) ninty-ex-grand throogol = (5038) nonagintuple grand throogol
= E100###100#91
...
(5039) hundred-ex-grand throogol = (5040) centuple grand throogol
= E100###100#101
...
(5041) thousand-ex-grand throogol = (5042) milluple grand throogol
= E100###100#1001
...
(5043) million-ex-grand throogol = (5044) milli-milluple grand throogol
= E100###100#1,000,001
(5045) googol-ex-grand throogol = E100###100#(E100+1)
(5046) googolplex-ex-grand throogol = E100###100#(EE100+1)
(5047) grangol-ex-grand throogol = E100###100#(E100#100+1)
(5048) greagol-ex-grand throogol = E100###100#(E100#100#100+1)
(5049) gigangol-ex-grand throogol = E100###100#(E100#100#100#100+1)
(5050) gorgegol-ex-grand throogol = E100###100#(E100#100#100#100#100+1)
(5051) gulgol-ex-grand throogol = E100###100#(E100#100#100#100#100#100+1)
(5052) gaspgol-ex-grand throogol = E100###100#(E100##7+1)
(5053) ginorgol-ex-grand throogol = E100###100#(E100##8+1)
(5054) gargantuul-ex-grand throogol = E100###100#(E100##9+1)
(5055) googondol-ex-grand throogol = E100###100#(E100##10+1)
...
(5056) gugold-ex-grand throogol = E100###100#(E100##100+1)
(5057) graatagold-ex-grand throogol = E100###100#(E100##100#100+1)
(5058) greegold-ex-grand throogol = E100###100#(E100##100#100#100+1)
(5059) grinningold-ex-grand throogol = E100###100#(E100##100#100#100#100+1)
(5060) golaagold-ex-grand throogol = E100###100#(E100##100##5+1)
(5061) gruelohgold-ex-grand throogol = E100###100#(E100##100##6+1)
(5062) gaspgold-ex-grand throogol = E100###100#(E100##100##7+1)
(5063) ginorgold-ex-grand throogol = E100###100#(E100##100##8+1)
(5064) gargantuuld-ex-grand throogol = E100###100#(E100##100##9+1)
(5065) googondold-ex-grand throogol = E100###100#(E100##100##10+1)
...
(5066) gugolthra-ex-grand throogol = E100###100#(E100##100##100+1)
(5067) graatagolthra-ex-grand throogol = E100###100#(E100##100##100#100+1)
(5068) greegolthra-ex-grand throogol = E100###100#(E100##100##100#100#100+1)
(5069) grinningolthra-ex-grand throogol = E100###100#(E100##100##100#100#100#100+1)
...
(5070) gugoltesla-ex-grand throogol = E100###100#(E100##100##100##100+1)
(5071) graatagoltesla-ex-grand throogol = E100###100#(E100##100##100##100#100+1)
...
(5072) gugolpeta-ex-grand throogol = E100###100#(E100##100##100##100##100+1)
(5073) gugolhexa-ex-grand throogol = E100###100#(E100##100##100##100##100##100+1)
(5074) gugolhepta-ex-grand throogol = E100###100#(E100##100##100##100##100##100##100+1)
(5075) gugolocta-ex-grand throogol = E100###100#(E100##100##100##100##100##100##100##100+1)
(5076) gugolenna-ex-grand throogol = E100###100#(E100###9+1)
(5077) gugoldeka-ex-grand throogol = E100###100#(E100###10+1)
...
(5078) throogol-ex-grand throogol = E100###100#(E100###100+1)
We can also introduce the new -plex series suffixes, called "-plexithrais", using the same reasoning that we get "-dex" in grangol, "-threx" in greagol, "-suplex" in gugold, and "-plexitris" in gugolthra.
(5079) throogolplexithrais ☆ = E100###100#2
(5080) throogolduplexithrais = E100###100#3
(5081) throogoltriplexithrais = E100###100#4
(5082) throogolquadriplexithrais = E100###100#5
(5083) throogolquintiplexithrais = E100###100#6
(5084) throogolsextiplexithrais = E100###100#7
(5085) throogolseptiplexithrais = E100###100#8
(5086) throogoloctiplexithrais = E100###100#9
(5087) throogolnoniplexithrais = E100###100#10
(5088) throogoldeciplexithrais = E100###100#11
Furthermore, Saibian concluded that he isn't going to use "-gong" beyond googondol anymore. However, we shall continue.
(5089) throogolspeck = E90###90
(5090) throogolcrumb = E95###95
(5091) throogolchunk = E99###99
(5092) throogolbunch = E101###101
(5093) throogolcrowd = E105###105
(5094) throogolswarm = E110###110
...
(5095) throogolding = E500###500
...
(5096) throogolchime = E1000###1000
(5097) grand throogolchime = E1000###1000#2
...
(5098) throogolbell = E5000###5000
...
(5099) throogoltoll = E10,000###10,000
(5100) grand throogoltoll = E10,000###10,000#2
...
(5101) throogolgong = E100,000###100,000
= E100,000##100,000##100,000## ... ... ... ... ... ##100,000##100,000##100,000
w/ 100,000 100,000's
(5102) grand throogolgong = E100,000###100,000#2
(5103) grand grand throogolgong = E100,000###100,000#3
...
(5104) throogolbong = E100,000,000###100,000,000
(5105) throogolthrong = E100,000,000,000###100,000,000,000
(5106) throogolgandingan = E100,000,000,000,000###100,000,000,000,000
We can also even have some in-between googolisms using -plexithrais:
(5107) googolplexithrais = E100###1#2 = E100###(E100)
(5108) grangolplexithrais = E100###(E100#100)
(5109) greagolplexithrais = E100###(E100#100#100)
(5110) gigangolplexithrais = E100###(E100#100#100#100)
(5111) gorgegolplexithrais = E100###(E100#100#100#100#100)
(5112) gulgolplexithrais = E100###(E100#100#100#100#100#100)
(5113) gaspgolplexithrais = E100###(E100##7)
(5114) ginorgolplexithrais = E100###(E100##8)
(5115) gargantuulplexithrais = E100###(E100##9)
(5116) googondolplexithrais = E100###(E100##10)
...
(5117) gugolda-plexithrais = E100###2#2 = E100###(E100##100)
(5118) graatagolda-plexithrais = E100###(E100##100#100)
(5119) greegolda-plexithrais = E100###(E100##100#100#100)
(5120) grinningolda-plexithrais = E100###(E100##100#100#100#100)
(5121) golaagolda-plexithrais = E100###(E100##100##5)
(5122) gruelohgolda-plexithrais = E100###(E100##100##6)
(5123) gaspgolda-plexithrais = E100###(E100##100##7)
(5124) ginorgolda-plexithrais = E100###(E100##100##8)
(5125) gargantuulda-plexithrais = E100###(E100##100##9)
(5126) googondolda-plexithrais = E100###(E100##100##10)
...
(5127) gugolthra-plexithrais = E100###3#2 = E100###(E100##100##100)
(5128) gugoltesla-plexithrais = E100###4#2 = E100###(E100##100##100##100)
(5129) gugolpeta-plexithrais = E100###5#2
(5130) gugolhexa-plexithrais = E100###6#2
(5131) gugolhepta-plexithrais = E100###7#2
(5132) gugolocta-plexithrais = E100###8#2
(5133) gugolenna-plexithrais = E100###9#2
(5134) gugoldeka-plexithrais = E100###10#2
...
(5135) googolduplexithrais = E100###1#3 = E100###(E100###1#2)
(5136) gugolda-duplexithrais = E100###2#3
(5137) gugolthra-duplexithrais = E100###3#3
(5138) gugoltesla-duplexithrais = E100###4#3
(5139) gugolpeta-duplexithrais = E100###5#3
(5140) gugolhexa-duplexithrais = E100###6#3
(5141) gugolhepta-duplexithrais = E100###7#3
(5142) gugolocta-duplexithrais = E100###8#3
(5143) gugolenna-duplexithrais = E100###9#3
(5144) gugoldeka-duplexithrais = E100###10#3
...
And I'm not done yet. Just as we could form a grid of regiments, we can create a cube of regiments! Here is the 2nd Plane:
Let's define thrangol to be...
(5145) thrangol ☆★ = E100###100#100
*alternatively (5146) thrangord, formerly granhoolgol
(from "throogol" + "grangol")
...
(5147) grand thrangol = E100###100#100#2
*alternatively (5148) thrangoldexithrais
(5149) grand grand thrangol = E100###100#100#3
*alternatively (5150) thrangoldudexithrais
(5151) grand grand grand thrangol = E100###100#100#4
*alternatively (5152) thrangoltridexithrais
...
(5153) thrangolchime = E1000###1000#1000
(5154) thrangoltoll = E10,000###10,000#10,000
(5155) thrangolgong = E100,000###100,000#100,000
(5156) grand thrangolgong = E100,000###100,000#100,000#2
...
(5157) googoldexithrais = E100###1#1#2 = E100###1#(E100)
(5158) gugolda-dexithrais = E100###2#1#2 = E100###1#(E100##100)
(5159) gugolthra-dexithrais = E100###3#1#2
(5160) gugoltesla-dexithrais = E100###4#1#2
(5161) throogoldexithrais = E100###100#1#2
(5162) throogolplexithraisidexithrais = E100###100#2#2
(5163) throogolduplexithraisidexithrais = E100###100#3#2
(5164) googoldudexithrais = E100###1#1#3
(5165) gugolda-dudexithrais = E100###2#1#3
(5166) throogoldudexithrais = E100###100#1#3
...
Moving on threagol...
(5167) threagol ☆★ = E100###100#100#100 = E100###100##3
*alternatively (5168) threagord, formerly greahoolgol
(from "throogol" + "greagol", you can see where this is going...)
(5169) grand threagol = E100###100#100#100#2
*alternatively (5170) threagolthrexithrais
(5171) grand grand threagol = E100###100#100#100#3
*alternatively (5172) threagolduthrexithrais
...
(5173) threagolgong = E100,000###100,000#100,000#100,000
(5174) grand threagolgong = E100,000###100,000#100,000#100,000#2
...
Another combinatorial googolisms...
(5175) googolthrexithrais = E100###1#1#1#2
(5176) gugolda-threxithrais = E100###2#1#1#2
(5177) throogolthrexithrais = E100###100#1#1#2
(5178) thrangolthrexithrais = E100###100#100#1#2
...
Then...
(5179) thrigangol ☆ = E100###100#100#100#100 = E100###100##4 *formerly giganhoolgol
(5180) grand thrigangol = E100###100#100#100#100#2 *alternatively (5181) thrigangoltetrexithrais
(5182) grand grand thrigangol = E100###100#100#100#100#3 *alternatively (5183) thrigangoldutetrexithrais
(5184) thrigangolgong = E100,000###100,000#100,000#100,000#100,000
...
(5185) throrgegol ☆ = E100###100#100#100#100#100 = E100###100##5 *formerly gorgehoolgol
(5186) grand throrgegol = E100###100#100#100#100#100#2
(5187) grand grand throrgegol = E100###100#100#100#100#100#3
...
(5188) thrulgol ☆ = E100###100#100#100#100#100#100 = E100###100##6 *formally gulhoolgol
(5189) grand thrulgol = E100###100#100#100#100#100#100#2
(5190) grand grand thrulgol = E100###100#100#100#100#100#100#3
...
(5191) thraspgol = E100###100#100#100#100#100#100#100 = E100###100##7
(5192) grand thraspgol = E100###100#100#100#100#100#100#100#2
...
(5193) thrinorgol = E100###100#100#100#100#100#100#100#100 = E100###100##8
(5194) grand thrinorgol = E100###100#100#100#100#100#100#100#100#2
...
The number E100###100##9 was called "thrarantuul" in Saibian's original website, however, the spelling is actually incorrect, so I fixed it into "thrargantuul"
(5195) thrargantuul = E100###100#100#100#100#100#100#100#100#100 = E100###100##9
*originally called "thrarantuul" in Saibian's original website
(5196) grand thrargantuul = E100###100#100#100#100#100#100#100#100#100#2
*originally called "grand thrarantuul" in Saibian's original website
...
(5197) throogondol = E100###100#100#100#100#100#100#100#100#100#100 = E100###100##10
(5198) grand throogondol = E100###100#100#100#100#100#100#100#100#100#100#2
...
We can continue to name further beyond throogondol via the same reasoning as googoadol and googooadold.
(5199) throogoadol = E100###100##11
(5200) throograndol = E100###100##12
(5201) throogreadol = E100###100##13
(5202) throogigandol = E100###100##14
(5203) throogorgedol = E100###100##15
(5204) throoguldol = E100###100##16
(5205) throogaspdol = E100###100##17
(5206) throoginordol = E100###100##18
(5207) throogarganduul = E100###100##19
...
(5208) throogonkosol = E100###100##20
(5209) throogontritol = E100###100##30
(5210) throogonsartol = E100###100##40
(5211) throogonpetol = E100###100##50
(5212) throogonextol = E100###100##60
(5213) throogoneptol = E100###100##70
(5214) throogonogdol = E100###100##80
(5215) throogonentol = E100###100##90
...
(5216) throogonhectol = E100###100##100
(5217) throogondohectol = E100###100##200
(5218) throogontriahectol = E100###100##300
(5219) throogontetrahectol = E100###100##400
(5220) throogonpentahectol = E100###100##500
(5221) throogonhexahectol = E100###100##600
(5222) throogonheptahectol = E100###100##700
(5223) throogonoctahectol = E100###100##800
(5224) throogonennahectol = E100###100##900
...
(5225) throogonchilol = E100###100##1000
(5226) throogonmyriol = E100###100##10,000
(5227) throogonhecta-chilol = E100###100##100,000
(5228) throogonchili-chilol = E100###100##1,000,000
(5229) throogonchili-myriol = E100###100##10,000,000
(5230) throogonmyri-myriol = E100###100##100,000,000
*alternatively (5231) throogonoctadol
(5232) throogonsedeniadol = E100###100##10,000,000,000,000
...
We can continue in this manner with:
(5233) thrugold ☆★ = E100###100##100
*alternatively (5234) thrugond
(from "throogol" + "gugold")
(5235) grand thrugold = E100###100##100#2
*alternatively (5236) thrugolda-suplexithrais
(5237) grand grand thrugold = E100###100##100#3
*alternatively (5238) thrugolda-dusuplexithrais
(5239) grand grand grand thrugold = E100###100##100#4
*alternatively (5240) thrugolda-trisuplexithrais
...
(5241) thrugoldachime = E1000###1000##1000
(5242) thrugoldatoll = E10,000###10,000##10,000
(5243) thrugoldagong = E100,000###100,000##100,000
(5244) grand thrugoldagong = E100,000###100,000##100,000#2
...
(5245) googolsuplexithrais = E100###100##(E100)
(5246) grangolsuplexithrais = E100###100##(E100#100)
(5247) gugolda-suplexithrais = E100###100##(E100##100)
(5248) throogolsuplexithrais = E100###100##1#2 = E100###100##(E100###100)
(5249) thrangolsuplexithrais = E100###100##2#2
(5250) threagolsuplexithrais = E100###100##3#2
(5251) thrigangolsuplexithrais = E100###100##4#2
(5252) throrgegolsuplexithrais = E100###100##5#2
(5253) thrulgolsuplexithrais = E100###100##6#2
(5254) thraspgolsuplexithrais = E100###100##7#2
(5255) thrinorgolsuplexithrais = E100###100##8#2
(5256) thrargantuulsuplexithrais = E100###100##9#2
(5257) throogondolsuplexithrais = E100###100##10#2
...
(5258) throogoldusuplexithrais = E100###100##1#3
Moving on...
(5259) thraatagold ☆ = E100###100##100#100
*formerly graatahoolda
3 #s, then 2, then 1, This number has a neat construction.
(5260) grand thraatagold = E100###100##100#100#2
(5261) grand grand thraatagold = E100###100##100#100#3
...
(5262) threegold ☆ = E100###100##100#100#100
*formerly greehoolda
(5263) grand threegold = E100###100##100#100#100#2
(5264) grand grand threegold = E100###100##100#100#100#3
Ahh... This number is R.E.A.L.L.Y A.W.E.S.O.M.E! How about threegold? The name seems to be simply based off "three golds" or "three golden coins", but that's actually based on "throogol" and "greegold"!!! VERY YIKES!!!
Moving on...
(5265) thrinningold = E100###100##100##4 = E100###100##100#100#100#100 *formerly grinninhoolda
(5266) grand thrinningold = E100###100##100#100#100#100#2
...
(5267) throlaagold = E100###100##100##5 *formerly golaahoolda
(5268) grand throlaagold = E100###100##100#100#100#100#100#2
...
(5269) thruelohgold = E100###100##100##6 *formerly gruelohhoolda
(5270) grand thruelohgold = E100###100##100#100#100#100#100#100#2
...
(5271) thraspgold = E100###100##100##7
(5272) grand thraspgold = E100###100##100#100#100#100#100#100#100#2
...
(5273) thrinorgold = E100###100##100##8
(5274) grand thrinorgold = E100###100##100#100#100#100#100#100#100#100#2
...
(5275) thrargantuuld = E100###100##100##9
(5276) grand thrargantuuld = E100###100##100#100#100#100#100#100#100#100#100#2
...
(5277) throogondold = E100###100##100##10
(5278) grand throogondold = E100###100##100#100#100#100#100#100#100#100#100#100#2
...
(5279) throogonkosold = E100###100##100##20
(5280) throogontritold = E100###100##100##30
(5281) throogonsartold = E100###100##100##40
(5282) throogonpetold = E100###100##100##50
(5283) throogonextold = E100###100##100##60
(5284) throogoneptold = E100###100##100##70
(5285) throogonogdold = E100###100##100##80
(5286) throogonentold = E100###100##100##90
...
(5287) throogonhectold = E100###100##100##100
(5288) throogonchilold = E100###100##100##1000
(5289) throogonmyriold = E100###100##100##10,000
(5290) throogonoctadold = E100###100##100##100,000,000
(5291) throogonsedeniadold = E100###100##100##10,000,000,000,000,000
...
And we can continue through the additional rows in the 2nd plane simply by replacing the first "g" with "thr" (and dropping double r's):
(5292) thrugolthra ☆★ = E100###100##100##100 = E100###100###3
*alternatively (5293) thrugonthra, formerly goolhoolthra
(5294) grand thrugolthra = E100###100##100##100#2
*alternatively (5295) thrugolthra-plexitrisithrais
(5296) grand grand thrugolthra = E100###100##100##100#3
*alternatively (5297) thrugolthra-duplexitrisithrais
...
(5298) thraatagolthra ☆ = E100###100##100##100#100
(5299) grand thraatagolthra = E100###100##100##100#100#2
...
(5300) threegolthra = E100###100##100##100#100#100
(5301) grand threegolthra = E100###100##100##100#100#100#2
...
(5302) thrinningolthra = E100###100##100##100#100#100#100
(5303) grand thrinningolthra = E100###100##100#100#100#100#2
...
(5304) throlaagolthra = E100###100##100##100##5
(5305) grand throlaagolthra = E100###100##100##100#100#100#100#100#2
...
(5306) thruelohgolthra = E100###100##100##100##6
(5307) grand thruelohgolthra = E100###100##100##100#100#100#100#100#100#2
...
(5308) thraspgolthra = E100###100##100##100##7
(5309) grand thraspgolthra = E100###100##100##100#100#100#100#100#100#100#2
...
(5310) thrinorgolthra = E100###100##100##100##8
(5311) grand thrinorgolthra = E100###100##100##100#100#100#100#100#100#100#100#2
...
(5312) thrargantuulthra = E100###100##100##100##9
(5313) grand thrargantuulthra = E100###100##100##100#100#100#100#100#100#100#100#100#2
...
(5314) throogondolthra = E100###100##100##100##10
(5315) grand throogondolthra = E100###100##100##100#100#100#100#100#100#100#100#100#100#2
*formerly grand throogondolthra as a duplicate of (5278)
...
The application of "grand", a single recursive step, is becoming quite unimpressive and repetitive at this point, so we will drop the grand versions in some numbers as they are simple enough to derive. Continuing on a little faster now we have...
(5316) thrugoltesla ☆★ = E100###100##100##100##100 = E100###100###4
*alternatively (5317) thrugontesla, formerly goolhooltesla
(5318) grand thrugoltesla = E100###100##100##100##100#2
...
(5319) thraatagoltesla = E100###100##100##100##100#100
(5320) grand thraatagoltesla = E100###100##100##100##100#100#2
...
(5321) threegoltesla = E100###100##100##100##100#100#100 = E100###100##100##100##3
(5322) thrinningoltesla = E100###100##100##100##100##4
(5323) throlaagoltesla = E100###100##100##100##100##5
(5324) thruelohgoltesla = E100###100##100##100##100##6
(5325) thraspgoltesla = E100###100##100##100##100##7
(5326) thrinorgoltesla = E100###100##100##100##100##8
(5327) thrargantuultesla = E100###100##100##100##100##9
(5328) throogondoltesla = E100###100##100##100##100##10
...
(5329) throogonkosoltesla = E100###100##100##100##100##20
(5330) throogontritoltesla = E100###100##100##100##100##30
(5331) throogonsartoltesla = E100###100##100##100##100##40
(5332) throogonpetoltesla = E100###100##100##100##100##50
(5333) throogonextoltesla = E100###100##100##100##100##60
(5334) throogoneptoltesla = E100###100##100##100##100##70
(5335) throogonogdoltesla = E100###100##100##100##100##80
(5336) throogonentoltesla = E100###100##100##100##100##90
...
(5337) throogonhectoltesla = E100###100##100##100##100##100
(5338) throogonchiloltesla = E100###100##100##100##100##1000
(5339) throogonmyrioltesla = E100###100##100##100##100##10,000
...
(5340) thrugolpeta ☆ = E100###100##100##100##100##100 = E100###100###5
*formerly goolhoolpeta
(5341) thraatagolpeta = E100###100##100##100##100##100##2
(5342) threegolpeta = E100###100##100##100##100##100##3
(5343) thrinningolpeta = E100###100##100##100##100##100##4
(5344) throlaagolpeta = E100###100##100##100##100##100##5
(5345) thruelohgolpeta = E100###100##100##100##100##100##6
(5346) thraspgolpeta = E100###100##100##100##100##100##7
(5347) thrinorgolpeta = E100###100##100##100##100##100##8
(5348) thrargantuulpeta = E100###100##100##100##100##100##9
(5349) throogondolpeta = E100###100##100##100##100##100##10
...
(5350) thrugolhexa ☆ = E100###100##100##100##100##100##100 = E100###100###6
*formerly goolhoolhexa
(5351) thraatagolhexa = E100###100##100##100##100##100##100##2
(5352) threegolhexa = E100###100##100##100##100##100##100##3
(5353) thrinningolhexa = E100###100##100##100##100##100##100##4
(5354) throlaagolhexa = E100###100##100##100##100##100##100##5
(5355) thruelohgolhexa = E100###100##100##100##100##100##100##6
(5356) thraspgolhexa = E100###100##100##100##100##100##100##7
(5357) thrinorgolhexa = E100###100##100##100##100##100##100##8
(5358) thrargantuulhexa = E100###100##100##100##100##100##100##9
(5359) throogondolhexa = E100###100##100##100##100##100##100##10
...
(5360) thrugolhepta = E100###100##100##100##100##100##100##100 = E100###100###7
(5361) thraatagolhepta = E100###100##100##100##100##100##100##100##2
(5362) threegolhepta = E100###100##100##100##100##100##100##100##3
(5363) thrinningolhepta = E100###100##100##100##100##100##100##100##4
(5364) throlaagolhepta = E100###100##100##100##100##100##100##100##5
(5365) thruelohgolhepta = E100###100##100##100##100##100##100##100##6
(5366) thraspgolhepta = E100###100##100##100##100##100##100##100##7
(5367) thrinorgolhepta = E100###100##100##100##100##100##100##100##8
(5368) thrargantuulhepta = E100###100##100##100##100##100##100##100##9
(5369) throogondolhepta = E100###100##100##100##100##100##100##100##10
...
(5370) thrugolocta = E100###100##100##100##100##100##100##100##100 = E100###100###8
(5371) thraatagolocta = E100###100##100##100##100##100##100##100##100##2
(5372) threegolocta = E100###100##100##100##100##100##100##100##100##3
(5373) thrinningolocta = E100###100##100##100##100##100##100##100##100##4
(5374) throlaagolocta = E100###100##100##100##100##100##100##100##100##5
(5375) thruelohgolocta = E100###100##100##100##100##100##100##100##100##6
(5376) thraspgolocta = E100###100##100##100##100##100##100##100##100##7
(5377) thrinorgolocta = E100###100##100##100##100##100##100##100##100##8
(5378) thrargantuulocta = E100###100##100##100##100##100##100##100##100##9
(5379) throogondolocta = E100###100##100##100##100##100##100##100##100##10
...
(5380) thrugolenna = E100###100##100##100##100##100##100##100##100##100 = E100###100###9
(5381) thraatagolenna = E100###100##100##100##100##100##100##100##100##100##2
(5382) threegolenna = E100###100##100##100##100##100##100##100##100##100##3
(5383) thrinningolenna = E100###100##100##100##100##100##100##100##100##100##4
(5384) throlaagolenna = E100###100##100##100##100##100##100##100##100##100##5
(5385) thruelohgolenna = E100###100##100##100##100##100##100##100##100##100##6
(5386) thraspgolenna = E100###100##100##100##100##100##100##100##100##100##7
(5387) thrinorgolenna = E100###100##100##100##100##100##100##100##100##100##8
(5388) thrargantuulenna = E100###100##100##100##100##100##100##100##100##100##9
(5389) throogondolenna = E100###100##100##100##100##100##100##100##100##100##10
...
(5390) thrugoldeka = E100###100##100##100##100##100##100##100##100##100##100 = E100###100###10
(5391) thraatagoldeka = E100###100##100##100##100##100##100##100##100##100##100##2
(5392) threegoldeka = E100###100##100##100##100##100##100##100##100##100##100##3
(5393) thrinningoldeka = E100###100##100##100##100##100##100##100##100##100##100##4
(5394) throlaagoldeka = E100###100##100##100##100##100##100##100##100##100##100##5
(5395) thruelohgoldeka = E100###100##100##100##100##100##100##100##100##100##100##6
(5396) thraspgoldeka = E100###100##100##100##100##100##100##100##100##100##100##7
(5397) thrinorgoldeka = E100###100##100##100##100##100##100##100##100##100##100##8
(5398) thrargantuuldeka = E100###100##100##100##100##100##100##100##100##100##100##9
(5399) throogondoldeka = E100###100##100##100##100##100##100##100##100##100##100##10
...
(5400) thrugolendeka = E100###100###11
(5401) thrugoldodeka = E100###100###12
(5402) thrugoltriadeka = E100###100###13
(5403) thrugoltetradeka = E100###100###14
(5404) thrugolpentadeka = E100###100###15
(5405) thrugolhexadeka = E100###100###16
(5406) thrugolheptadeka = E100###100###17
(5407) thrugoloctadeka = E100###100###18
(5408) thrugolennadeka = E100###100###19
...
(5409) thrugolicosa = E100###100###20
(5410) thrugoltrianta = E100###100###30
(5411) thrugolsaranta = E100###100###40
(5412) thrugolpeninta = E100###100###50
(5413) thrugolexinta = E100###100###60
(5414) thrugolebdominta = E100###100###70
(5415) thrugologdonta = E100###100###80
(5416) thrugoleneninta = E100###100###90
...
(5417) thrugolhecta = E100###100###100
(5418) thrugoldiacosa = E100###100###200
(5419) thrugoltriacosa = E100###100###300
(5420) thrugoltetracosa = E100###100###400
(5421) thrugolpentacosa = E100###100###500
(5422) thrugolhexacosa = E100###100###600
(5423) thrugolheptacosa = E100###100###700
(5424) thrugoloctacosa = E100###100###800
(5425) thrugolennacosa = E100###100###900
...
(5426) thrugolchila = E100###100###1000
(5427) thrugolmyria = E100###100###10,000
(5428) thrugolhecta-chila = E100###100###100,000
(5429) thrugolchili-chila = E100###100###1,000,000
(5430) thrugolchili-myria = E100###100###10,000,000
(5431) thrugolmyri-myria = E100###100###100,000,000
*alternatively (5432) thrugoloctadia
(5433) thrugolsedeniadia = E100###100###10,000,000,000,000,000
We can continue further with...
(5434) thrugol-googola = E100###100###(E100)
(5435) thrugol-grangola = E100###100###(E100#100)
(5436) thrugol-greagola = E100###100###(E100#100#100)
(5437) thrugol-gigangola = E100###100###(E100#100#100#100)
(5438) thrugol-gugolda = E100###100###(E100##100)
(5439) thrugol-graatagolda = E100###100###(E100##100#100)
(5440) thrugol-gugolthra = E100###100###(E100##100##100)
(5441) thrugol-gugoltesla = E100###100###(E100##100##100##100)
(5442) thrugol-throogola = E100###100###(E100###100)
(5443) thrugol-thrangola = E100###100###(E100###100#100)
(5444) thrugol-thrugolda = E100###100###(E100###100##100)
(5445) thrugol-thrugolthra = E100###100###(E100###100##100##100)
(5446) thrugol-thrugolhecta ✡ = E100###100###(E100###100###100) = E100###100###100#2
...
Before getting extraordinary, let's continue next part for the throotrigol regiment here:
NEXT - 16 - Throotrigol - throotergol regiment
Or you may check out the definition of the Cascading-E notation here (part 21.5)!