User:JrandWP/sandbox/List of googolisms/Up-arrow notation level

Smaller numbers

\(f_3(10^{10^6})\) ~ \(f_3^2(10^{10^6})\)

 * Trialogialogue / Goodcolplexiduex, E1#3#2
 * Binary-Googolplexiduex, 2↑↑22 100
 * Zootzootplex, \(\text{googolplex}^{(\text{googolplex}-1)^{(\text{googolplex}-2)^{.^{.^{.^{4^{3^{2^1}}}}}}}}\)
 * Googolplexstack / googolplexilogue / googolplexiduex, 10↑↑1010 100
 * Googolplexstackplex, 10↑↑(1010 100 +1)
 * Googolplexstackbang, (10↑↑1010 100 )!
 * Googolplexidex, E100#1010 100 = E100#2#2
 * Upside-down zootzootplex, \(2^{3^{4^{5\dots(\text{googolplex-2})^{(\text{googolplex-1})^{\text{googolplex}}}}}}\)
 * Googolplexidexiplex, E100#(1010 100 +1)
 * Megafugagoogolplex / hypergoogolplex, googolplex↑↑googolplex
 * Googolplexidexiduplex, E100#(1010 100 +2)
 * Googolplexwarp, 1010 100 %
 * Inphixillion, 10(3*10↑↑10 3*10 100+3 )110,101,011 (↓↓103*10 100+3 -1)+3
 * Googolbangstack, 10↑↑(10100!)
 * Googolbangstackplex, 10↑↑(10100!+1)
 * Googolbangstackbang, (10↑↑(10100!))!
 * Googolbangwarp, (10100!)%
 * Grand Kilofaxul, 200!(200!)!+1 ~ 10↑↑1010 379
 * Goomolplexiduex, 10↑↑1010 1,000
 * Harper.c, ~ 2↑↑22 100,000,002
 * Tetralogialogue / Goodcolduplexiduex, E1#4#2
 * Zootzootduplex / zootzootplexian, \(\text{googolduplex}^{(\text{googolduplex}-1)^{(\text{googolduplex}-2)^{.^{.^{.^{4^{3^{2^{1}}}}}}}}}\)
 * Googolduplexilogue / googolduplexiduex / googolplexplexstack, 10↑↑1010 10 100
 * Googolduplexidex, E100#1010 10 100 = E100#3#2
 * Megafugagargoogolplex, googolduplex↑↑googolduplex
 * Googolplexbangstack, 10↑↑(1010 100 !)
 * Googolbangplexstack, 10↑↑(1010 100! )
 * Googolbangbangstack, 10↑↑((10100!)!)
 * Googolbarxiwarp, (((10100)!)!)%
 * Grand Megafaxul, 200!((200!)!)!+1 ~ 10↑↑(E379#3)
 * Pentalogialogue / Dooqnolplex, E1#5#2
 * Helpsophiaisflirtingmeillion, 10(3*10↑↑nastihotillion) 777,707,070,777 (↓↓nastihotillion-1)+3
 * Zootzoottriplex / zootzootplexianite, \(\text{googoltriplex}^{(\text{googoltriplex}-1)^{(\text{googoltriplex}-2)^{.^{.^{.^{4^{3^{2^{1}}}}}}}}}\)
 * Googoltriplexilogue / Googoltriplexiduex, 10↑↑(E100#4)
 * Googoltriplexidex, E100#4#2
 * Megafugagargantugoogolplex, googoltriplex↑↑googoltriplex
 * Grand Gigafaxul, 200!(((200!)!)!)!+1 ~ 10↑↑(E379#4)
 * Hexalogialogue, E1#6#2
 * Googolquadriplexiduex, 10↑↑(E100#5)
 * Googolquadriplexidex, E100#5#2
 * Grand Terafaxul, 200!((((200!)!)!)!)!+1 ~ 10↑↑(E379#5)
 * Heptalogialogue, E1#7#2
 * Googolquintiplexiduex, 10↑↑(E100#6)
 * Googolquintiplexidex, E100#6#2
 * Grand Petafaxul, 200!(((((200!)!)!)!)!)!+1 ~ 10↑↑(E379#6)
 * Binary-Doodcolplex, 2↑↑2↑↑10
 * Octalogialogue, E1#8#2
 * Googolsextiplexidex, E100#7#2
 * Grand Exafaxul, 200!((((((200!)!)!)!)!)!)!+1 ~ 10↑↑(E379#7)
 * Ennalogialogue, E1#9#2
 * Googolseptiplexidex, E100#8#2
 * Tria-taxis / tria-teraksys / dekalogialogue, E1#1#3 = 10↑↑10↑↑10
 * Googoloctiplexidex, E100#9#2
 * Equiduoxal, 10(≡≡)
 * Dupercoxal, 10(≡≡`2)
 * Grand Hyperillion, H*(10,2)
 * Googolnoniplexidex, E100#10#2
 * Googoldeciplexidex, E100#11#2
 * Grand-exi-hyperillion, H*(16,2)
 * Doovolplex, 10↑↑10↑↑20
 * Dutriquomevalka, 2[3,4]
 * Grand-icosi-hyperillion, H*(20,2)
 * Dooqtolplex, 10↑↑10↑↑25
 * Heads-Tet-2-primol, 7↑↑5↑↑27
 * Doohfolplex, 10↑↑10↑↑50
 * Binary-Doogolplex / Binary-Doomolplex, 2↑↑2↑↑100
 * Ternary-Doogolplex, 3↑↑3↑↑100
 * Octal-Doogolplex, 8↑↑8↑↑100
 * Giggolplex / hectalogialogue / giggolduex / doogolplex / doogolduex, 10↑↑10↑↑100
 * Schmiganticillion, 10(3*10↑↑schmittyillion+2) 4,182,001 (↓↓schmittyillion-2)+3
 * Coogolplex, 10[2,10[2,100]]
 * Hexadecimal-Doogolplex, 16↑↑16↑↑100
 * Grangoldex, E100#100#2 ~ 10↑↑10↑↑101
 * Astrabreagol, #**((10))**((10))*100
 * Kiloexpofaxul, (200!1)!1 ~ 10↑↑10↑↑198
 * Chilialogialogue / Doomolplex, 10↑↑10↑↑1,000
 * Grangoldexichime, E1,000#1,000#2
 * Myrialogialogue / Doomyrolplex, E1#10,000#2
 * Grangoldexitoll, E10,000#10,000#2
 * Binary-Tooqnol, 2↑↑↑5
 * Grangoldexigong, E100,000#100,000#2 ~ 10↑↑10↑↑100,001
 * Octadialogialogue, E1#100,000,000#2
 * Grangoldexibong, E100,000,000#100,000,000#2
 * Latinlatinmyllionalatinmyllion...ayllionayllion, ~ 10↑↑10↑↑200,000,001
 * Goodcolduduex, 10↑↑10↑↑1010
 * Great tritri, 3↑↑↑4
 * Grangoldexithrong, E100,000,000,000#100,000,000,000#2
 * Sedeniadialogialogue, E1#(1016)#2
 * Binary-Googolduduex, 2↑↑2↑↑2100
 * Googolstackstack / googolgoogolduplex / googolduduex, 10↑↑10↑↑10100
 * Googolstackstackplex, 10↑↑(1+10↑↑10100)
 * Googolstackstackbang, (10↑↑10↑↑10100)!
 * Googolstackplexstack, 10↑↑10↑↑(1+10100)
 * Googolstackbangstack, 10↑↑((10↑↑10100)!)
 * Googoldudex, E100#1#3
 * Googolwarxi, (10100%)%
 * Ecetondudex, E303#1#3 ~ 10↑↑10↑↑10303
 * Bigrand Faxul, 200!200! 200!+1+1 ~ 10↑↑10↑↑10379
 * Goomolduduex, 10↑↑10↑↑101,000

\(f_3^2(10^{10^6})\) ~ \(f_3^{10}(10^{10^6})\)

 * Trialogialogialogue / Goodcolplexiduduex, E1#3#3
 * Grand Mega / triton, 3[5], 3 in a pentagon (or circle)
 * Zootzootzootplex / triplezootplex, \(\text{zootzootplex}^{(\text{zootzootplex}-1)^{(\text{zootzootplex}-2)^{.^{.^{.^{4^{3^{2^{1}}}}}}}}}\)
 * Googolplexiduduex / Googolplexstackstack, 10↑↑10↑↑1010 100
 * Googolplexidudex, E100#2#3
 * Googolbangstackstack, 10↑↑10↑↑(10100!)
 * Tettro, 4↑↑↑4
 * Bigrand Kilofaxul, 200!200! (200!)!+1+1 ~ 10↑↑10↑↑1010 379
 * Tetralogialogialogue, E1#4#3
 * Googolduplexiduduex, 10↑↑10↑↑1010 10 100
 * Googolduplexidudex, E100#3#3
 * Bigrand Megafaxul, 200!200! ((200!)!)!+1+1 ~ 10↑↑10↑↑(E379#3)
 * Pentalogialogialogue, E1#5#3
 * Googoltriplexiduduex, 10↑↑10↑↑(E100#4)
 * Googoltriplexidudex, E100#4#3
 * Hexalogialogialogue, E1#6#3
 * Googolquadriplexiduduex, 10↑↑10↑↑(E100#5)
 * Googolquadriplexidudex, E100#5#3
 * Heptalogialogialogue, E1#7#3
 * Googolquintiplexidudex, E100#6#3
 * Octalogialogialogue, E1#8#3
 * Googolsextiplexidudex, E100#7#3
 * Ennalogialogialogue, E1#9#3
 * Googolseptiplexidudex, E100#8#3
 * Tetra-taxis / tetra-teraksys / dekalogialogialogue / Tetooquol, E1#1#4 = 10↑↑10↑↑10↑↑10
 * Googoloctiplexidudex, E100#9#3
 * Equitrioxal, 10(≡≡≡)
 * Tripercoxal, 10(≡≡≡`2)
 * Bigrand Hyperillion, H*(10,3)
 * Googolnoniplexidudex, E100#10#3
 * Googoldeciplexidudex, E100#11#3
 * Bigrand-exi-hyperillion, H*(16,3)
 * Dutriquinmevalka, 2[3,5]
 * Bigrand-icosi-hyperillion, H*(20,3)
 * Heads-Pent-2-primol, 11↑↑7↑↑5↑↑27
 * Binary-Doogolduplex, 2↑↑2↑↑2↑↑100
 * Giggolduplex / hectalogialogialogue / doogolduplex, {10,giggolplex,2} = E1#100#3
 * Grangoldudex, E100#100#3 ~ 10↑↑10↑↑10↑↑101
 * Astratreagol, #**((10))**((10))**((10))*100
 * Megaexpofaxul, ((200!1)!1)!1 ~ E10#197#3
 * Chilialogialogialogue / Doomolduplex, 10↑↑10↑↑10↑↑1,000
 * Grangoldudexichime, E1,000#1,000#3
 * Myrialogialogialogue / Doomyrolduplex, E1#10,000#3
 * Grangoldudexitoll, E10,000#10,000#3
 * Grangoldudexigong, E100,000#100,000#3 ~ 10↑↑10↑↑10↑↑100,001
 * ekatommyriaplo...ekatommyrio, ~ 10↑↑10↑↑10↑↑2,000,001
 * Octadialogialogialogue, E1#100,000,000#3
 * Grangoldudexibong, E100,000,000#100,000,000#3
 * Grangoldudexithrong, E100,000,000,000#100,000,000,000#3
 * Ternary-Tooqnol, 3↑↑↑5
 * Sedeniadialogialogialogue, E1#(1016)#3
 * Googolgoogoltriplex / googolstackstackstack / googoltreduex / googoltriduex, 10↑↑10↑↑10↑↑10100
 * Googoltridex, E100#1#4
 * Googolwatrxi, ((10100%)%)%
 * Ecetontridex, E303#1#4
 * Trigrand Faxul, 200!200! 200! 200!+1+1 +1 ~ E10#(E379)#3
 * Astrantereagol, #**((10))**((10))**((10))*((10))*100
 * Googolplexitriduex, 10↑↑10↑↑10↑↑1010 100
 * Googolplexitridex, E100#2#4
 * Trigrand Kilofaxul, 200!200! 200! (200!)!+1+1 +1 ~ E10#(EE379)#3
 * Googolduplexitriduex, 10↑↑10↑↑10↑↑1010 10 100
 * Googolduplexitridex, E100#3#4
 * Great Mega, 4[5], 4 in a pentagon (or circle)
 * Boogafive / pentro, 5↑↑↑5
 * Penta-taxis / penta-teraksys / qagnol, E1#1#5 = 10↑↑↑5
 * Trigrand Hyperillion, H*(10,4)
 * Heads-Hex-2-primol, R**(6) = 13↑↑11↑↑7↑↑5↑↑3↑↑2
 * Dutriheximevalka, 2[3,6]
 * Giggoltreplex / doogoltriplex, E1#100#4
 * Grangoltridex, E100#100#4
 * Astratereagol, #**((10))**((10))**((10))**((10))*100
 * Gigaexpofaxul, (((200!1)!1)!1)!1 ~ E10#197#4
 * Grangoltridexichime, E1,000#1,000#4
 * Grangoltridexitoll, E10,000#10,000#4
 * Grangoltridexigong, E100,000#100,000#4
 * Googolquadruduex / googolquadriduex, 10↑↑10↑↑10↑↑10↑↑10100
 * Googolquadridex, E100#1#5
 * Ecetonquadridex, E303#1#5
 * Quadgrand Faxul, 200!200! 200! 200! 200!+1+1 +1 +1 ~ E10#(E379)#4
 * Googolplexiquadriduex, 10↑↑10↑↑10↑↑10↑↑1010 100
 * Googolplexiquadridex, E100#2#5
 * Googolduplexiquadridex, E100#3#5
 * Gong Mega, 5[5], 5 in a pentagon (or circle)
 * Hextro, 6↑↑↑6
 * Hexa-taxis / hexa-teraksys, E1#1#6 = 10↑↑↑6
 * Dutriseptimevalka, 2[3,7]
 * Giggolquadruplex / doogolquadriplex, E1#100#5
 * Grangolquadridex, E100#100#5
 * Teraexpofaxul, ((((200!1)!1)!1)!1)!1 ~ E10#197#5
 * Grangolquadridexichime, E1,000#1,000#5
 * Grangolquadridexitoll, E10,000#10,000#5
 * Gagfive, A(5,5)
 * Grangolquadridexigong, E100,000#100,000#5
 * Googolquinduex / googolquintiduex, E1#(10100)#5
 * Googolquintidex, E100#1#6
 * Ecetonquintidex, E303#1#6
 * Quintgrand Faxul, 200!200! 200! 200! 200! 200!+1+1 +1 +1 +1 ~ E10#(E379)#5
 * Googolplexiquintidex, E100#2#6
 * Googolduplexiquintidex, E100#3#6
 * Hexafact, 6* = (6,561↑↑5)↑↑↑6
 * Hexomega, 6[5], 6 in a pentagon (or circle)
 * Hepta-taxis / hepta-teraksys, E1#1#7 = 10↑↑↑7
 * Dutrioctimevalka, 2[3,8]
 * Giggolquinplex / doogolquintiplex, E1#100#6
 * Grangolquintidex, E100#100#6
 * Petaexpofaxul, (((((200!1)!1)!1)!1)!1)!1 ~ E10#197#6
 * Grangolquintidexichime, E1,000#1,000#6
 * Grangolquintidexitoll, E10,000#10,000#6
 * Grangolquintidexigong, E100,000#100,000#6
 * Googolsexduex, E1#(10100)#6
 * Googolsextidex, E100#1#7
 * Ecetonsextidex, E303#1#7
 * Googolplexisextidex, E100#2#7
 * Googolduplexisextidex, E100#3#7
 * Heptomega, 7[5], 7 in a pentagon (or circle)
 * Octa-taxis / octa-teraksys, E1#1#8 = 10↑↑↑8
 * Dutrinonmevalka, 2[3,9]
 * Giggolsexplex / doogolsextiplex, E1#100#7
 * Grangolsextidex, E100#100#7
 * Exaexpofaxul, ((((((200!1)!1)!1)!1)!1)!1)!1 ~ E10#197#7
 * Grangolsextidexichime, E1,000#1,000#7
 * Grangolsextidexitoll, E10,000#10,000#7
 * Binary-Toodcol, 2↑↑↑10
 * Grangolsextidexigong, E100,000#100,000#7
 * Googolseptenduex, E1#(10100)#7
 * Googolseptidex, E100#1#8
 * Ecetonseptidex, E303#1#8
 * Googolplexiseptidex, E100#2#8
 * Googolduplexiseptidex, E100#3#8
 * Octomega, 8[5], 8 in a pentagon (or circle)
 * Enna-taxis / enna-teraksys, E1#1#9 = 10↑↑↑9
 * Giggolseptenplex / doogolseptiplex, E1#100#8
 * Grangolseptidex, E100#100#8
 * Grangolseptidexichime, E1,000#1,000#8
 * Grangolseptidexitoll, E10,000#10,000#8
 * Grangolseptidexigong, E100,000#100,000#8
 * Ternary-Toodcol, 3↑↑↑10
 * Googoloctoduex, E1#(10100)#8
 * Googoloctidex, E100#1#9
 * Ecetonoctidex, E303#1#9
 * Googolplexioctidex, E100#2#9
 * Googolduplexioctidex, E100#3#9
 * Octal-Toodcol, 8↑↑↑10
 * Nonomega, 9[5], 9 in a pentagon (or circle)
 * Deka-taxis / deka-teraksys / dagcol / beeiol / toodcol / goonoltrex / tetoodol, E1#1#10 = 10↑↑↑10
 * Decatrimel, 10[3,10]
 * Giggoloctoplex / doogoloctiplex, E1#100#9
 * Grangoloctidex, E100#100#9
 * Grangoloctidexichime, E1,000#1,000#9
 * Grangoloctidexitoll, E10,000#10,000#9
 * Grangoloctidexigong, E100,000#100,000#9
 * Googolnovemduex, E1#(10100)#9
 * Googolnonidex, E100#1#10
 * Ecetonnonidex, E303#1#10
 * Googolplexinonidex, E100#2#10
 * Googolduplexinonidex, E100#3#10
 * Quadralum, \(f_{4} (10) \approx 2 \uparrow\uparrow\uparrow 10\)
 * Megiston / megistron / megaston, 10[5], 10 in a pentagon (or circle)
 * Endeka-taxis, 10↑↑↑11
 * Hyperduillion, H*(10,10)
 * Giggolnovemplex / doogolnoniplex, E1#100#10
 * Grangolnonidex, E100#100#10
 * Grangolnonidexichime, E1,000#1,000#10
 * Grangolnonidexitoll, E10,000#10,000#10
 * Grangolnonidexigong, E100,000#100,000#10
 * Googoldecaduex, E1#(10100)#10
 * Googoldecidex, E100#1#11
 * Ecetondecidex, E303#1#11

\(f_3^{10}(10^{10^6})\) ~ \(f_4(10^{10^6})\)

 * Googolplexidecidex, E100#2#11
 * Googolduplexidecidex, E100#3#11
 * Dodeka-taxis, 10↑↑↑12
 * Giggoldecaplex / doogoldeciplex, E1#100#11
 * Grangoldecidex, E100#100#11
 * Grangoldecidexichime, E1,000#1,000#11
 * Grangoldecidexitoll, E10,000#10,000#11
 * Grangoldecidexigong, E100,000#100,000#11
 * Exi-hyperduillion, H*(16,16)
 * Duquotrimevalka, 2[4,3]
 * Toovol, 10↑↑↑20
 * Qagfol / Tooqtol, 10↑↑↑25
 * Tootrol, 10↑↑↑30
 * Tooqrol, 10↑↑↑40
 * Binary-Toohfol, 2↑↑↑50
 * Hagfol / toohfol, 10↑↑↑50
 * Givoogol, 100↑↑↑50
 * Genu's number II, 70!2*35!2*812,500812,501
 * Binary-gaggol / Binary-Toogol, 2↑↑↑100
 * Ternary-Toogol / Ternary-gootol, 3↑↑↑100
 * Quaternary-Toogol, 4↑↑↑100
 * Octal-gaggol / Octal-Toogol, 8↑↑↑100
 * Gaggol / hecta-taxis / hecta-teraksys / Toogol, {10,100,3} = 10↑↑↑100
 * Gaggolunex / toogolunex, 1010↑↑↑100
 * Gaggolduunex / toogolduunex, 1010 10↑↑↑100
 * Gaggoltreunex, 1010 10 10↑↑↑100
 * Gaggolquadruunex, E(E1#1#100)#4
 * Gaggolquinunex, E(E1#1#100)#5
 * Gaggolsexunex, E(E1#1#100)#6
 * Gaggolseptenunex, E(E1#1#100)#7
 * Gaggoloctounex, E(E1#1#100)#8
 * Gaggolnovemunex, E(E1#1#100)#9
 * Gaggoldecaunex, E(E1#1#100)#10
 * Duodecimal-gaggol / Duodecimal-Toogol, 12↑↑↑100
 * Hexadecimal-gaggol / Hexadecimal-Toogol, 16↑↑↑100
 * Vigesimal-gaggol, 20↑↑↑100
 * Sexagesimal-gaggol, 60↑↑↑100
 * Gigafuga-hundred / stothreesto, 100↑↑↑100
 * Gaggolduex / toogolduex, 10↑↑↑101
 * Toogolduexiplex, 1010↑↑↑101
 * Megafuga-gaggol, (10↑↑↑100)↑↑(10↑↑↑100)
 * Toogolplexiduex 10↑↑(1010↑↑↑100)
 * Greagol / towergol, E100#100#100
 * Greagolplex, 10E100#100#100
 * Astreatrigol, #***((10))*100
 * Trifactor, 100!3
 * Gaggolduduex / Toogolduduex, 10↑↑↑102
 * Greagoldex, E100#100#101
 * Gaggoltreduex, 10↑↑↑103
 * Gaggolquadruduex, 10↑↑↑104
 * Gaggolquinduex, 10↑↑↑105
 * Gaggolsexduex, 10↑↑↑106
 * Gaggolseptenduex, 10↑↑↑107
 * Gaggoloctoduex, 10↑↑↑108
 * Gaggolnovemduex, 10↑↑↑109
 * Gaggoldecaduex, 10↑↑↑110
 * Tetrofaxul, 200!2 ~ 10↑↑↑198
 * Tooducol, 10↑↑↑200
 * Binary-Toomol, 2↑↑↑1,000
 * Ternary-Toomol, 3↑↑↑1,000
 * Chilia-taxis / gaggolchime / Toomol, E1#1#1,000
 * Greagolchime, E1,000#1,000#1,000
 * Myria-taxis / gaggoltoll / gaghol / toomyrol, E1#1#10,000
 * Greagoltoll, E10,000#10,000#10,000
 * Gaggolgong / gooqnoltrex, 10↑↑↑100,000
 * Greagolgong, E100,000#100,000#100,000
 * Chilia-chilia-taxis, E1#1#1,000,000
 * Chilia-myria-taxis, E1#1#10,000,000
 * Myria-myria-taxis / octadia-taxis / gaggolbong, E1#1#100,000,000
 * Greagolbong, E100,000,000#100,000,000#100,000,000
 * Goodcoltrex, 10↑↑↑1010
 * Gaggolthrong, E1#1#100,000,000,000
 * Greagolthrong, E100,000,000,000#100,000,000,000#100,000,000,000
 * Heads-Tri-3-primol, 5↑↑↑3↑↑↑2
 * Sedeniadia-taxis, E1#1#1016
 * Binary-Googoltrex, 2↑↑↑2100
 * Ternary-Googoltrex, 3↑↑↑3100
 * Goohfoltrex, 10↑↑↑1050
 * Octal-Googoltrex, 8↑↑↑8100
 * Googol-3-flex / googolgoogolgoogolplex / googolia-taxis / googoltrex, 10↑↑↑10100
 * Googolthrex, E100#1#1#2
 * Hexadecimal-Googoltrex, 16↑↑↑16100
 * Folkman's number, 2↑↑↑2901
 * Ecetonthrex, E303#1#1#2
 * Goomoltrex, 10↑↑↑101,000
 * Goomyroltrex, 10↑↑↑1010,000

\(f_4(10^{10^6})\) ~ \(f_4^2(10^{10^6})\)

 * Trialogia-taxis / goodcolplexitrex, 10↑↑↑1010 10
 * Binary-Googolplexitrex, 2↑↑↑22 100
 * Googolplexia-taxis / googolplexitrex, 10↑↑↑1010 100
 * Googolplexithrex, E100#2#1#2
 * Goomolplexitrex, 10↑↑↑1010 1,000
 * Tetralogia-taxis, 10↑↑↑1010 10 10
 * Googolduplexia-taxis / googolduplexitrex, 10↑↑↑1010 10 100
 * Pentalogia-taxis / dooqnoltrex, E1#1#(E1#5)
 * Googoltriplexia-taxis / googoltriplexitrex, 10↑↑↑(E100#4)
 * Hexalogia-taxis, E1#1#(E1#6)
 * Googolquadriplexitrex, 10↑↑↑(E100#5)
 * Heptalogia-taxis, E1#1#(E1#7)
 * Octalogia-taxis, E1#1#(E1#8)
 * Ennalogia-taxis, E1#1#(E1#9)
 * Dekalogia-taxis / doodcoltrex, E1#1#(E1#10)
 * Equiquinoxal, 10(≡{≡}≡)
 * Squarepercoxal, 10(≡{≡}≡`2)
 * Binary-Doogoltrex, 2↑↑↑2↑↑100
 * Octal-Doogoltrex, 8↑↑↑8↑↑100
 * Giggolthrex / doogoltrex, 10↑↑↑10↑↑100
 * Grangolthrex, E100#100#1#2
 * Grand expofaxul, 200(!1)200!1+1 ~ 10↑↑↑10↑↑198
 * A-ooga / megision, 2[6], 2 in a hexagon
 * Doomoltrex, 10↑↑↑10↑↑1,000
 * Doomyroltrex, 10↑↑↑10↑↑10,000
 * Binary-Tetooquol, 2↑↑↑↑4
 * Goodcolduexitrex, 10↑↑↑10↑↑1010
 * Grahal / triteto / NO I CAN'T EVEN, g1 = 3↑↑↑↑3
 * Binary-Googolduexitrex, 2↑↑↑2↑↑2100
 * Googolduexitrex, 10↑↑↑10↑↑10100
 * Googoldexithrex, E100#1#2#2
 * Goomolduexitrex, 10↑↑↑10↑↑101,000
 * Googolplexiduexitrex, 10↑↑↑10↑↑1010 100
 * Googolduplexiduexitrex, 10↑↑↑10↑↑1010 10 100
 * Triataxia-taxis / doodcolplexitrex, E1#1#3#2
 * Binary-Doogolplexitrex, 2↑↑↑2↑↑2↑↑100
 * Doogolplexitrex, 10↑↑↑10↑↑10↑↑100
 * Grangoldexithrex, E100#100#2#2
 * Grand kiloexpofaxul, 200(!1)(200!1)!1+1 ~ 10↑↑↑10↑↑10↑↑198
 * Doomolplexitrex, 10↑↑↑10↑↑10↑↑1,000
 * Googolduduexitrex, 10↑↑↑10↑↑10↑↑10100
 * Grand Megision, 3[5][5]
 * Googolplexiduduexitrex, 10↑↑↑10↑↑10↑↑1010 100
 * Doogolduplexitrex, 10↑↑↑10↑↑10↑↑10↑↑100
 * Grangoldudexithrex, E100#100#3#2
 * Grand megaexpofaxul, 200(!1)((200!1)!1)!1+1 ~ 10↑↑↑(E10#197#3)
 * Googoltriduexitrex, 10↑↑↑10↑↑10↑↑10↑↑10100
 * Great Megision, 4[5][5]
 * Tooqnolplex, 10↑↑↑10↑↑↑5
 * Doogoltriplexitrex, 10↑↑↑10↑↑10↑↑10↑↑10↑↑100
 * Grand gigaexpofaxul, 200(!1)(((200!1)!1)!1)!1+1
 * Gong Megision, 5[5][5]
 * Doogolquadriplexitrex, 10↑↑↑10↑↑10↑↑10↑↑10↑↑10↑↑100
 * Grand teraexpofaxul, 200(!1)((((200!1)!1)!1)!1)!1+1
 * Hexomegision, 6[5][5]
 * Grand petaexpofaxul, 200(!1)(((((200!1)!1)!1)!1)!1)!1+1
 * Grand exaexpofaxul, 200(!1)((((((200!1)!1)!1)!1)!1)!1)!1+1
 * Tria-petaxis / tria-petaksys / dekataxia-taxis / toodcolplex / tetootol, 10↑↑↑↑3
 * Megisiplextron, 10[5][5]
 * Grand Hyperduillion, H*(10,10,2)
 * Duquoquomevalka, 2[4,4]
 * Binary-Toogolplex, 2↑↑↑2↑↑↑100
 * Octal-Toogolplex, 8↑↑↑8↑↑↑100
 * Gaggolplex / hectataxia-taxis / gaggolthrex / toogolplex / toogoltrex, 10↑↑↑10↑↑↑100
 * Greagolthrex, E100#100#100#2
 * Kilotetrofaxul, (200!2)!2 ~ 10↑↑↑10↑↑↑198
 * Toomolplex, 10↑↑↑10↑↑↑1,000
 * Greagolthrexichime, E1,000#1,000#1,000#2
 * Toomyrolplex, 10↑↑↑10↑↑↑10,000
 * Greagolthrexitoll, E10,000#10,000#10,000#2
 * Greagolthrexigong, E100,000#100,000#100,000#2
 * Greagolthrexibong, E100,000,000#100,000,000#100,000,000#2
 * Goodcoldutrex, 10↑↑↑10↑↑↑1010
 * Greagolthrexithrong, E100,000,000,000#100,000,000,000#100,000,000,000#2
 * Heads-Tet-3-primol, 7↑↑↑5↑↑↑3↑↑↑2
 * Googolduthrex / googoldutrex, 10↑↑↑10↑↑↑10100
 * Ecetonduthrex, E303#1#1#3

\(f_4^2(10^{10^6})\) ~ \(f_4^{10}(10^{10^6})\)

 * Googolplexidutrex, 10↑↑↑10↑↑↑1010 100
 * Googolduplexidutrex, 10↑↑↑10↑↑↑1010 10 100
 * Doodcoldutrex, 10↑↑↑10↑↑↑10↑↑10
 * Grangolduthrex, E100#100#1#3
 * Giggolduthrex / doogoldutrex, 10↑↑↑10↑↑↑10↑↑100
 * Bigrand expofaxul, 200(!1)200(!1) 200!1+1+1 ~ E10#10#expofaxul#2
 * Megisiduon, 2[5][5][5]
 * Binary-Tetooqnol, 2↑↑↑↑5
 * Googolduexidutrex, 10↑↑↑10↑↑↑10↑↑10100
 * Triataxiataxia-taxis, E1#1#3#3
 * Doogolplexidutrex, 10↑↑↑10↑↑↑10↑↑10↑↑100
 * Grangoldexiduthrex, E100#100#2#3
 * Bigrand kiloexpofaxul, 200(!1)200(!1) (200!)!1+1+1 ~ E10#10#kiloexpofaxul#2
 * Grand Megisiduon / A-oogra, 3[6], 3 in a hexagon
 * Tritet / trientet / Giv, {4,4,4} = 4↑↑↑↑4
 * Grangoldudexiduthrex, E100#100#3#3
 * Bigrand megaexpofaxul, 200(!1)200(!1) ((200!)!)!1+1+1 ~ E10#10#megaexpofaxul#2
 * Great Megisiduon, 4[5][5][5]
 * Gong Megisiduon, 5[5][5][5]
 * Hexomegisiduon, 6[5][5][5]
 * Tetra-petaxis / tetra-petaksys / dekataxiataxia-taxis / toodcolduplex / tetooquol, 10↑↑↑↑4
 * Megisiduplextron, 10[5][5][5]
 * Bigrand Hyperduillion, H*(10,10,3)
 * Duquoquinmevalka, 2[4,5]
 * Binary-Toogolduplex, 2↑↑↑2↑↑↑2↑↑↑100
 * Gaggolduplex / hectataxiataxia-taxis / toogolduplex, 10↑↑↑10↑↑↑10↑↑↑100
 * Greagolduthrex, E100#100#100#3
 * Megatetrofaxul, ((200!2)!2)!2 ~ E10#10#197#3
 * Toomolduplex, 10↑↑↑10↑↑↑10↑↑↑1,000
 * Greagolduthrexichime, E1,000#1,000#1,000#3
 * Greagolduthrexitoll, E10,000#10,000#10,000#3
 * Greagolduthrexigong, E100,000#100,000#100,000#3
 * Greagolduthrexibong, E100,000,000#100,000,000#100,000,000#3
 * Greagolduthrexithrong, E100,000,000,000#100,000,000,000#100,000,000,000#3
 * Heads-Pent-3-primol, 11↑↑↑7↑↑↑5↑↑↑3↑↑↑2
 * Googoltrethrex / googoltritrex / Googoltrithrex, 10↑↑↑10↑↑↑10↑↑↑10100
 * Ecetontrithrex, E303#1#1#4
 * Googolplexitritrex, 10↑↑↑10↑↑↑10↑↑↑1010 100
 * Giggoltrethrex / doogoltritrex, 10↑↑↑10↑↑↑10↑↑↑10↑↑100
 * Grangoltrithrex, E100#100#1#4
 * Trigrand expofaxul, 200(!1)200(!1) 200(!1) 200!1+1+1 +1 ~ E10#10#expofaxul#3
 * Megisitruon, 2[5][5][5][5]
 * Doogolplexitritrex, 10↑↑↑10↑↑↑10↑↑↑10↑↑10↑↑100
 * Grangoldexitrithrex, E100#100#2#4
 * Trigrand kiloexpofaxul, 200(!1)200(!1) 200(!1) (200!1)!1+1+1 +1 ~ E10#10#kiloexpofaxul#3
 * Grand Megisitruon, 3[5][5][5][5]
 * Grangoldudexitrithrex, E100#100#3#4
 * Great Megisitruon / A-oogrea, 4[6], 4 in a hexagon
 * Penteto, 5↑↑↑↑5
 * Gong Megisitruon, 5[5][5][5][5]
 * Hexomegisitruon, 6[5][5][5][5]
 * Penta-petaxis / penta-petaksys / qeenol / Tetooqnol, 10↑↑↑↑5
 * Megisitriplextron, 10[5][5][5][5]
 * Duquoheximevalka, 2[4,6]
 * Gaggoltreplex / toogoltriplex, 10↑↑↑10↑↑↑10↑↑↑10↑↑↑100
 * Greagoltrithrex, E100#100#100#4
 * Gigatetrofaxul, (((200!2)!2)!2)!2 ~ E10#10#197#4
 * Greagoltrithrexichime, E1,000#1,000#1,000#4
 * Greagoltrithrexitoll, E10,000#10,000#10,000#4
 * Greagoltrithrexigong, E100,000#100,000#100,000#4
 * Heads-Hex-3-primol, 13↑↑↑11↑↑↑7↑↑↑5↑↑↑3↑↑↑2
 * Googolquadruthrex / googolquadritrex, 10↑↑↑10↑↑↑10↑↑↑10↑↑↑10100
 * Ecetonquadrithrex, E303#1#1#5
 * Giggolquadruthrex / doogolquadritrex, 10↑↑↑10↑↑↑10↑↑↑10↑↑↑10↑↑100
 * Grangolquadrithrex, E100#100#1#5
 * Quadgrand expofaxul, 200(!1)200(!1) 200(!1) 200(!1) 200!1+1+1 +1 +1 ~ E10#10#expofaxul#4
 * Megisiquadruon, 2[5][5][5][5][5]
 * Grangoldexiquadrithrex, E100#100#2#5
 * Grand Megisiquadruon, 3[5][5][5][5][5]
 * Grangoldudexiquadrithrex, E100#100#3#5
 * Great Megisiquadruon, 4[5][5][5][5][5]
 * Gong Megisiquadruon / A-oogonga, 5[6], 5 in a hexagon
 * Boogasix / hexteto / Hexar, 6↑↑↑↑6
 * Hexomegisiquadruon, 6[5][5][5][5][5]
 * Hexa-petaxis / hexa-petaksys / Tetoosol, 10↑↑↑↑6
 * Megisiquadruplextron, 10[5][5][5][5][5]
 * Duquoseptimevalka, 2[4,7]
 * Gaggolquadruplex / toogolquadriplex, E1#1#100#5
 * Greagolquadrithrex, E100#100#100#5
 * Teratetrofaxul, ((((200!2)!2)!2)!2)!2 ~ E10#10#197#5
 * Greagolquadrithrexichime, E1,000#1,000#1,000#5
 * Greagolquadrithrexitoll, E10,000#10,000#10,000#5
 * Greagolquadrithrexigong, E100,000#100,000#100,000#5
 * Googolquinthrex, E1#1#(10100)#5
 * Ecetonquintithrex, E303#1#1#6
 * Giggolquinthrex, E1#1#(E1#100)#5
 * Grangolquintithrex, E100#100#1#6
 * Quintgrand expofaxul, 200(!1)200(!1) 200(!1) 200(!1) 200(!1) 200!1+1+1 +1 +1 +1 ~ E10#10#expofaxul#5
 * Grangoldexiquintithrex, E100#100#2#6
 * Grangoldudexiquintithrex, E100#100#3#6
 * Hexomegisiquinton / A-oohexa, 6[6], 6 in a hexagon
 * Hepta-petaxis / hepta-petaksys / Tetoospol, 10↑↑↑↑7
 * Duquooctimevalka, 2[4,8]
 * Gaggolquinplex / toogolquintiplex, E1#1#100#6
 * Greagolquintithrex, E100#100#100#6
 * Petatetrofaxul, (((((200!2)!2)!2)!2)!2)!2 ~ E10#10#197#6
 * Greagolquintithrexichime, E1,000#1,000#1,000#6
 * Greagolquintithrexitoll, E10,000#10,000#10,000#6
 * Greagolquintithrexigong, E100,000#100,000#100,000#6
 * Googolsexthrex, E1#1#(10100)#6
 * Giggolsexthrex, E1#1#(E1#100)#6
 * A-oohepta / Heptomegisisexton, 7[6], 7 in a hexagon
 * Octa-petaxis / octa-petaksys / Tetooctol, 10↑↑↑↑8
 * Duquononmevalka, 2[4,9]
 * Gaggolsexplex / toogolsextiplex, E1#1#100#7
 * Greagolsextithrex, E100#100#100#7
 * Exatetrofaxul, ((((((200!2)!2)!2)!2)!2)!2)!2 ~ E10#10#197#7
 * Googolseptenthrex, E1#1#(10100)#7
 * Giggolseptenthrex, E1#1#(E1#100)#7
 * Binary-Tetoodcol, 2↑↑↑↑10
 * A-oocta, 8[6], 8 in a hexagon
 * Enna-petaxis / enna-petaksys / Tetoonvol, 10↑↑↑↑9
 * Gaggolseptenplex / toogolseptiplex, E1#1#100#8
 * Greagolseptithrex, E100#100#100#8
 * Googoloctothrex, E1#1#(10100)#8
 * Giggoloctothrex, E1#1#(E1#100)#8
 * Octal-Tetoodcol, 8↑↑↑↑10
 * A-ooennea, 9[6], 9 in a hexagon
 * Deka-petaxis / deka-petaksys / deecol / Tetoodcol, 10↑↑↑↑10
 * Gaggoloctoplex / toogoloctiplex, E1#1#100#9
 * Greagoloctithrex, E100#100#100#9
 * Googolnovemthrex, E1#1#(10100)#9
 * Giggolnovemthrex, E1#1#(E1#100)#9
 * Quintalum, f5(10)
 * A-oomega / Megisienneaplextron, 10[6], 10 in a hexagon
 * Hypertrillion, H*(10,10,10)
 * Gaggolnovemplex / toogolnoniplex, E1#1#100#10
 * Greagolnonithrex, E100#100#100#10
 * Googoldecathrex, E1#1#(10100)#10

\(f_4^{10}(10^{10^6})\) ~ \(f_5(10^{10^6})\)

 * Giggoldecathrex, E1#1#(E1#100)#10
 * Gaggoldecaplex / toogoldeciplex, E1#1#100#11
 * Greagoldecithrex, E100#100#100#11
 * Tetoovol, 10↑↑↑↑20
 * Qeefol / Tetooqtol, 10↑↑↑↑25
 * Tetootrol, 10↑↑↑↑30
 * Heefol / Tetoohfol, 10↑↑↑↑50
 * Gavoogol, 100↑↑↑↑50
 * Binary-geegol / Binary-Tetoogol, 2↑↑↑↑100
 * Ternary-Tetoogol, 3↑↑↑↑100
 * Quaternary-Tetoogol, 4↑↑↑↑100
 * Octal-geegol / Octal-Tetoogol, 8↑↑↑↑100
 * Geegol / hecta-petaxis / hecta-petaksys / Tetoogol, {10,100,4} = 10↑↑↑↑100 = E1#1#1#100
 * Geegolunex, 1010↑↑↑↑100
 * Geegolduunex, 1010 10↑↑↑↑100
 * Geegoltreunex, 1010 10 10↑↑↑↑100
 * Geegolquadruunex, E(E1#1#1#100)#4
 * Geegolquinunex, E(E1#1#1#100)#5
 * Geegolsexunex, E(E1#1#1#100)#6
 * Geegolseptenunex, E(E1#1#1#100)#7
 * Geegoloctounex, E(E1#1#1#100)#8
 * Geegolnovemunex, E(E1#1#1#100)#9
 * Geegoldecaunex, E(E1#1#1#100)#10
 * Geegolduex, 10↑↑10↑↑↑↑100
 * Geegolduduex, 10↑↑10↑↑10↑↑↑↑100
 * Geegoltreduex, 10↑↑10↑↑10↑↑10↑↑↑↑100
 * Geegolquadruduex, E1#(E1#1#1#100)#4
 * Geegolquinduex, E1#(E1#1#1#100)#5
 * Geegolsexduex, E1#(E1#1#1#100)#6
 * Geegolseptenduex, E1#(E1#1#1#100)#7
 * Geegoloctoduex, E1#(E1#1#1#100)#8
 * Geegolnovemduex, E1#(E1#1#1#100)#9
 * Geegoldecaduex, E1#(E1#1#1#100)#10
 * Duodecimal-geegol / Duodecimal-Tetoogol, 12↑↑↑↑100
 * Hexadecimal-geegol / Hexadecimal-Tetoogol, 16↑↑↑↑100
 * Vigesimal-geegol, 20↑↑↑↑100
 * Sexagesimal-geegol, 60↑↑↑↑100
 * Geegolthrex / Tetoogoltrex, 10↑↑↑↑101
 * Gigangol / tetowergol, E100#100#100#100
 * Gigangolplex, 10E100#100#100#100
 * Gigangoldex, E100#(E100#100#100#100)
 * Tetfactor, 100!4
 * Geegolduthrex, 10↑↑↑↑102
 * Gigangolthrex, E100#100#100#101
 * Geegoltrethrex, 10↑↑↑↑103
 * Geegolquadruthrex, 10↑↑↑↑104
 * Geegolquinthrex, 10↑↑↑↑105
 * Geegolsexthrex, 10↑↑↑↑106
 * Geegolseptenthrex, 10↑↑↑↑107
 * Geegoloctothrex, 10↑↑↑↑108
 * Geegolnovemthrex, 10↑↑↑↑109
 * Geegoldecathrex, 10↑↑↑↑110
 * Pentofaxul, 200!3 ~ 10↑↑↑↑198
 * Tetooducol, 10↑↑↑↑200
 * Binary-Tetoomol, 2↑↑↑↑1,000
 * Chilia-petaxis / geegolchime / Tetoomol, E1#1#1#1,000 = 10↑↑↑↑1,000
 * Gigangolchime, E1,000#1,000#1,000#1,000
 * Myria-petaxis / geegoltoll / geehol / Tetoomyrol, E1#1#1#10,000 = 10↑↑↑↑10,000
 * Gigangoltoll, E10,000#10,000#10,000#10,000
 * Geegolgong, 10↑↑↑↑100,000
 * Gigangolgong, E100,000#100,000#100,000#100,000
 * Geegolbong, 10↑↑↑↑100,000,000
 * Gigangolbong, E100,000,000#100,000,000#100,000,000#100,000,000
 * Goodcoltetex, 10↑↑↑↑10,000,000,000
 * Geegolthrong, 10↑↑↑↑100,000,000,000
 * Gigangolthrong, E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000
 * Googolquadrex, 10↑↑↑↑10100
 * Googoltetrex, E100#1#1#1#2
 * Ecetontetrex, E303#1#1#1#2

\(f_5(10^{10^6})\) ~ \(f_6(10^{10^6})\)

 * Googolplexitetrex, E100#2#1#1#2
 * Giggolquadrex, 10↑↑↑↑10↑↑100
 * Grangoltetrex, E100#100#1#1#2
 * Grangoldexitetrex, E100#100#2#1#2
 * Gaggolquadrex, 10↑↑↑↑10↑↑↑100
 * Greagoltetrex, E100#100#100#1#2
 * Grand tetrofaxul, 200(!2)200!2+1 ~ 10↑↑↑↑10↑↑↑198
 * Betomega / A-oogatiplex, 2[7], 2 in a heptagon
 * Tripeno, 3↑↑↑↑↑3
 * Greagolthrexitetrex, E100#100#100#2#2
 * Grand kilotetrofaxul, 200(!2)(200!2)!2+1 ~ 10↑↑↑↑10↑↑↑10↑↑↑198
 * A-oogratiplex, 3[6][6]
 * Greagolduthrexitetrex, E100#100#100#3#2
 * Grand megatetrofaxul, 200(!2)((200!2)!2)!2+1 ~ 10↑↑↑↑(E10#10#197#3)
 * A-oogreatiplex, 4[6][6]
 * Grand gigatetrofaxul, 200(!2)(((200!2)!2)!2)!2+1
 * A-oogongatiplex, 5[6][6]
 * Grand teratetrofaxul, 200(!2)((((200!2)!2)!2)!2)!2+1
 * A-oohexatiplex, 6[6][6]
 * Grand petatetrofaxul, 200(!2)(((((200!2)!2)!2)!2)!2)!2+1
 * Grand exatetrofaxul, 200(!2)((((((200!2)!2)!2)!2)!2)!2)!2+1
 * Tria-exaxis / tria-exaksys, 10↑↑↑↑↑3
 * A-oomegatiplex, 10[6][6]
 * Geegolplex / geegolquadrex, 10↑↑↑↑10↑↑↑↑100
 * Gigangoltetrex, E100#100#100#100#2
 * Kilopentofaxul, (200!3)!3 ~ 10↑↑↑↑10↑↑↑↑198
 * Gigangoltetrexichime, E1,000#1,000#1,000#1,000#2
 * Gigangoltetrexitoll, E10,000#10,000#10,000#10,000#2
 * Gigangoltetrexigong, E100,000#100,000#100,000#100,000#2
 * Gigangoltetrexibong, E100,000,000#100,000,000#100,000,000#100,000,000#2
 * Gigangoltetrexithrong, E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#2
 * Googolduquadrex, 10↑↑↑↑10↑↑↑↑10100
 * Ecetondutetrex, E303#1#1#1#3
 * Giggolduquadrex, 10↑↑↑↑10↑↑↑↑10↑↑100
 * Gaggolduquadrex, 10↑↑↑↑10↑↑↑↑10↑↑↑100
 * Greagoldutetrex, E100#100#100#1#3
 * Bigrand tetrofaxul, 200(!2)200(!2) 200!2+1+1 ~ E10#10#tetrofaxul#2
 * A-oogatiduplex, 2[6][6][6]
 * Greagolthrexidutetrex, E100#100#100#2#3
 * Bigrand kilotetrofaxul, 200(!2)200(!2) (200!2)!2+1+1 ~ E10#10#kilotetrofaxul#2
 * Betogiga / A-oogratiduplex, 3[7], 3 in a heptagon
 * Tetpeno, 4↑↑↑↑↑4
 * Greagolduthrexidutetrex, E100#100#100#3#3
 * Bigrand megatetrofaxul, 200(!2)200(!2) ((200!2)!2)!2+1+1 ~ E10#10#megatetrofaxul#2
 * A-oogreatiduplex, 4[6][6][6]
 * A-oogongatiduplex, 5[6][6][6]
 * A-oohexatiduplex, 6[6][6][6]
 * Tetra-exaxis / tetra-exaksys, 10↑↑↑↑↑4
 * A-oomegatiduplex, 10[6][6][6]
 * Geegolduplex, 10↑↑↑↑10↑↑↑↑10↑↑↑↑100
 * Gigangoldutetrex, E100#100#100#100#3
 * Megapentofaxul, ((200!3)!3)!3 ~ E10#10#10#197#3
 * Gigangoldutetrexichime, E1,000#1,000#1,000#1,000#3
 * Gigangoldutetrexitoll, E10,000#10,000#10,000#10,000#3
 * Gigangoldutetrexigong, E100,000#100,000#100,000#100,000#3
 * Gigangoldutetrexibong, E100,000,000#100,000,000#100,000,000#100,000,000#3
 * Gigangoldutetrexithrong, E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#3
 * Googoltrequadrex, 10↑↑↑↑10↑↑↑↑10↑↑↑↑10100
 * Ecetontritetrex, E303#1#1#1#4
 * Giggoltrequadrex, 10↑↑↑↑10↑↑↑↑10↑↑↑↑10↑↑100
 * Gaggoltrequadrex, 10↑↑↑↑10↑↑↑↑10↑↑↑↑10↑↑↑100
 * Greagoltritetrex, E100#100#100#1#4
 * Trigrand tetrofaxul, 200(!2)200(!2) 200(!2) 200!2+1+1 +1 ~ E10#10#tetrofaxul#3
 * A-oogatitriplex, 2[6][6][6][6]
 * Greagolthrexitritetrex, E100#100#100#2#4
 * Trigrand kilotetrofaxul, 200(!2)200(!2) 200(!2) (200!2)!2+1+1 +1 ~ E10#10#kilotetrofaxul#3
 * A-oogratitriplex, 3[6][6][6][6]
 * Greagolduthrexitritetrex, E100#100#100#3#4
 * Betotera / A-oogreatitriplex, 4[7], 4 in a heptagon
 * Tripent / trienpent / Gov, {5,5,5} = 5↑↑↑↑↑5
 * A-oogongatitriplex, 5[6][6][6][6]
 * A-oohexatitriplex, 6[6][6][6][6]
 * A-oomegatitriplex, 10[6][6][6][6]
 * Geegoltreplex, E1#1#1#100#4
 * Gigangoltritetrex, E100#100#100#100#4
 * Gigapentofaxul, (((200!3)!3)!3)!3 ~ E10#10#10#197#4
 * Ecetonquadritetrex, E303#1#1#1#5
 * Googolquadruquadrex, E1#1#1#(10100)#4
 * Giggolquadruquadrex, E1#1#1#(E1#100)#4
 * Gaggolquadruquadrex, E1#1#1#(E1#1#100)#4
 * Greagolquadritetrex, E100#100#100#1#5
 * Quadgrand tetrofaxul, 200(!2)200(!2) 200(!2) 200(!2) 200!2+1+1 +1 +1 ~ E10#10#tetrofaxul#4
 * A-oogatiquadruplex, 2[6][6][6][6][6]
 * Greagolthrexiquadritetrex, E100#100#100#2#5
 * A-oogratiquadruplex, 3[6][6][6][6][6]
 * Greagolduthrexiquadritetrex, E100#100#100#3#5
 * A-oogreatiquadruplex, 4[6][6][6][6][6]
 * Betopeta / A-oogongatiquadruplex, 5[7], 5 in a heptagon
 * Hexpeno, 6↑↑↑↑↑6
 * A-oohexatiquadruplex, 6[6][6][6][6][6]
 * A-oomegatiquadruplex, 10[6][6][6][6][6]
 * Geegolquadruplex, E1#1#1#100#5
 * Gigangolquadritetrex, E100#100#100#100#5
 * Ecetonquintitetrex, E303#1#1#1#6
 * Googolquinquadrex, E1#1#1#(10100)#5
 * Giggolquinquadrex, E1#1#1#(E1#100)#5
 * Gaggolquinquadrex, E1#1#1#(E1#1#100)#5
 * Greagolquintitetrex, E100#100#100#1#6
 * Quintgrand tetrofaxul, 200(!2)200(!2) 200(!2) 200(!2) 200(!2) 200!2+1+1 +1 +1 +1 ~ E10#10#tetrofaxul#5
 * A-oogatiquintiplex, 2[6][6][6][6][6][6]
 * Greagolthrexiquintitetrex, E100#100#100#2#6
 * A-oogratiquintiplex, 3[6][6][6][6][6][6]
 * Greagolduthrexiquintitetrex, E100#100#100#3#6
 * A-oogreatiquintiplex, 4[6][6][6][6][6][6]
 * A-oogongatiquintiplex, 5[6][6][6][6][6][6]
 * Betoexa / A-oohexatiquintiplex, 6[7], 6 in a heptagon
 * Boogaseven, 7↑↑↑↑↑7
 * Geegolquinplex, E1#1#1#100#6
 * Gigangolquintitetrex, E100#100#100#100#6
 * Googolsexquadrex, E1#1#1#(10100)#6
 * Giggolsexquadrex, E1#1#1#(E1#100)#6
 * Gaggolsexquadrex, E1#1#1#(E1#1#100)#6
 * Betozetta / A-ooheptatisextiplex, 7[7], 7 in a heptagon
 * Geegolsexplex, E1#1#1#100#7
 * Googolseptenquadrex, E1#1#1#(10100)#7
 * Giggolseptenquadrex, E1#1#1#(E1#100)#7
 * Gaggolseptenquadrex, E1#1#1#(E1#1#100)#7
 * Binary-Penoodcol, 2[5]10 = 2↑↑↑↑↑10
 * Betoyotta, 8[7], 8 in a heptagon
 * Geegolseptenplex, E1#1#1#100#8
 * Googoloctoquadrex, E1#1#1#(10100)#8
 * Giggoloctoquadrex, E1#1#1#(E1#100)#8
 * Gaggoloctoquadrex, E1#1#1#(E1#1#100)#8
 * Betoxota, 9[7], 9 in a heptagon
 * Deka-exaxis / deka-exaksys, 10↑↑↑↑↑10
 * Geegoloctoplex, E1#1#1#100#9
 * Googolnovemquadrex, E1#1#1#(10100)#9
 * Giggolnovemquadrex, E1#1#1#(E1#100)#9
 * Gaggolnovemquadrex, E1#1#1#(E1#1#100)#9
 * Sextalum, f6(10)
 * Betodaka / A-oomegatienneaplex, 10[7], 10 in a heptagon
 * Hyperterillion, H*(10,10,10,10)
 * Geegolnovemplex, E1#1#1#100#10
 * Googoldecaquadrex, E1#1#1#(10100)#10
 * Giggoldecaquadrex, E1#1#1#(E1#100)#10
 * Gaggoldecaquadrex, E1#1#1#(E1#1#100)#10
 * Geegoldecaplex, E1#1#1#100#11
 * Hifol, 10↑↑↑↑↑50
 * Gigol / gygol / hecta-exaxis / hecta-exaksys / Penoogol, {10,100,5} = 10↑↑↑↑↑100 = E1#1#1#1#100
 * Gigolunex, 1010↑↑↑↑↑100
 * Facgigol, (10↑↑↑↑↑100)!
 * Gigolduex, 10↑↑10↑↑↑↑↑100
 * Gigolthrex, 10↑↑↑10↑↑↑↑↑100
 * Gigolquadrex, 10↑↑↑↑↑101
 * Gorgegol / pentowergol, E100#100#100#100#100
 * Gorgegolplex, 10E100#100#100#100#100
 * Gorgegoldex, E100#(E100#100#100#100#100)
 * Gorgegolthrex, E100#100#(E100#100#100#100#100)
 * Pentfactor, 100!5
 * Gorgegoltetrex, E100#100#100#100#101
 * Hexofaxul, 200!4 ~ 10↑↑↑↑↑198
 * Chilia-exaxis / gigolchime, E1#1#1#1#1,000
 * Gorgegolchime, E1,000#1,000#1,000#1,000#1,000
 * Myria-exaxis / gigoltoll / gihol, E1#1#1#1#10,000
 * Gorgegoltoll, E10,000#10,000#10,000#10,000#10,000
 * Gigolgong, E1#1#1#1#100,000
 * Gorgegolgong, E100,000#100,000#100,000#100,000#100,000
 * Gigolbong, E1#1#1#1#100,000,000
 * Gorgegolbong, E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000
 * Gigolthrong, E1#1#1#1#100,000,000,000
 * Gorgegolthrong, E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000
 * Googolquinex, 10↑↑↑↑↑10100
 * Googolpentex, E100#1#1#1#1#2
 * Ecetonpentex, E303#1#1#1#1#2

\(f_6(10^{10^6})\) ~ \(f_7(10^{10^6})\)

 * Giggolquinex, 10↑↑↑↑↑10↑↑100
 * Grangolpentex, E100#100#1#1#1#2
 * Gaggolquinex, 10↑↑↑↑↑10↑↑↑100
 * Greagolpentex, E100#100#100#1#1#2
 * Geegolquinex, 10↑↑↑↑↑10↑↑↑↑100
 * Gigangolpentex, E100#100#100#100#1#2
 * Grand pentofaxul, 200(!3)200!3+1 ~ 10↑↑↑↑↑10↑↑↑↑198
 * Flexinega / brantomega, 2[8], 2 in a octagon
 * Trihexo, 3↑↑↑↑↑↑3
 * Gigangoltetrexipentex, E100#100#100#100#2#2
 * Grand kilopentofaxul, 200(!3)(200!3)!3+1 ~ 10↑↑↑↑↑10↑↑↑↑10↑↑↑↑198
 * Brantogiga, 3[7][7]
 * Gigangoldutetrexipentex, E100#100#100#100#3#2
 * Grand megapentofaxul, 200(!3)((200!3)!3)!3+1 ~ 10↑↑↑↑↑(E10#10#10#197#3)
 * Brantotera, 4[7][7]
 * Grand gigapentofaxul, 200(!3)(((200!3)!3)!3)!3+1 ~ 10↑↑↑↑↑(E10#10#10#197#4)
 * Brantopeta, 5[7][7]
 * Brantoexa, 6[7][7]
 * Tria-eptaxis / tria-eptaksys, 10↑↑↑↑↑10↑↑↑↑↑10
 * Gigolplex / gygolplex / gigolquinex, 10↑↑↑↑↑10↑↑↑↑↑100
 * Gorgegolpentex, E100#100#100#100#100#2
 * Kilohexofaxul, (200!4)!4 ~ 10↑↑↑↑↑10↑↑↑↑↑198
 * Gorgegolpentexichime, E1,000#1,000#1,000#1,000#1,000#2
 * Gorgegolpentexitoll, E10,000#10,000#10,000#10,000#10,000#2
 * Gorgegolpentexigong, E100,000#100,000#100,000#100,000#100,000#2
 * Gorgegolpentexibong, E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#2
 * Gorgegolpentexithrong, E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#2
 * Ecetondupentex, E303#1#1#1#1#3
 * Gigangoldupentex, E100#100#100#100#1#3
 * Bigrand pentofaxul, 200(!3)200(!3) 200!3+1+1 ~ E10#10#10#pentofaxul#2
 * Breatomega, 2[7][7][7]
 * Gigangoltetrexidupentex, E100#100#100#100#2#3
 * Flexitria / breatogiga, 3[8], 3 in a octagon
 * Tethexo, 4 4
 * Gigangoldutetrexidupentex, E100#100#100#100#3#3
 * Breatotera, 4[7][7][7]
 * Breatopeta, 5[7][7][7]
 * Breatoexa, 6[7][7][7]
 * Tetra-eptaxis / tetra-eptaksys, 10 4
 * Gigolduplex, 10↑↑↑↑↑10↑↑↑↑↑10↑↑↑↑↑100
 * Gorgegoldupentex, E100#100#100#100#100#3
 * Megahexofaxul, ((200!4)!4)!4 ~ E10#10#10#10#197#3
 * Gorgegoldupentexichime, E1,000#1,000#1,000#1,000#1,000#3
 * Gorgegoldupentexitoll, E10,000#10,000#10,000#10,000#10,000#3
 * Gorgegoldupentexigong, E100,000#100,000#100,000#100,000#100,000#3
 * Gorgegoldupentexibong, E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#3
 * Gorgegoldupentexithrong, E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#3
 * Ecetontripentex, E303#1#1#1#1#4
 * Gigangoltripentex, E100#100#100#100#1#4
 * Trigrand pentofaxul, 200(!3)200(!3) 200(!3) 200!3+1+1 +1 ~ E10#10#10#pentofaxul#3
 * Bigiatomega, 2[7][7][7][7]
 * Gigangoltetrexitripentex, E100#100#100#100#2#4
 * Bigiatogiga, 3[7][7][7][7]
 * Gigangoldutetrexitripentex, E100#100#100#100#3#4
 * Flexitera / bigiatotera, 4[8], 4 in a octagon
 * Penhexo, 5↑↑↑↑↑↑5
 * Bigatopeta, 5[7][7][7][7]
 * Bigatoexa, 6[7][7][7][7]
 * Gigoltreplex, E1#1#1#1#100#4
 * Gorgegoltripentex, E100#100#100#100#100#4
 * Gigahexofaxul, (((200!4)!4)!4)!4 ~ E10#10#10#10#197#4
 * Ecetonquadripentex, E303#1#1#1#1#5
 * Biquadriatomega, 2[7][7][7][7][7]
 * Biquadriatogiga, 3[7][7][7][7][7]
 * Biquadriatotera, 4[7][7][7][7][7]
 * Flexipera / biquadriatopeta, 5[8], 5 in a octagon
 * Trihex / trienhex / Govi, 6↑↑↑↑↑↑6
 * Biquadriatoexa, 6[7][7][7][7][7]
 * Gigolquadruplex, E1#1#1#1#100#5
 * Gorgegolquadripentex, E100#100#100#100#100#5
 * Ecetonquintipentex, E303#1#1#1#1#6
 * Biquintiatomega, 2[7][7][7][7][7][7]
 * Biquintiatogiga, 3[7][7][7][7][7][7]
 * Biquintiatotera, 4[7][7][7][7][7][7]
 * Biquintiatopeta, 5[7][7][7][7][7][7]
 * Flexiexa / biquintiatoexa, 6[8], 6 in a octagon
 * Gigolquinplex, E1#1#1#1#100#6
 * Gorgegolquintipentex, E100#100#100#100#100#6
 * Flexizetta, 7[8], 7 in a octagon
 * Boogaeight, 8↑↑↑↑↑↑8
 * Gigolsexplex, E1#1#1#1#100#7
 * Gigolseptenplex, E1#1#1#1#100#8
 * Deka-eptaxis / deka-eptaksys, 10 10
 * Gigoloctoplex, E1#1#1#1#100#9
 * Septalum, f7(10)
 * Hyperpetillion, H*(10,10,10,10,10)
 * Gigolnovemplex, E1#1#1#1#100#10
 * Gigoldecaplex, E1#1#1#1#100#11
 * Hogfol, 10↑↑↑↑↑↑50
 * Gavijoogol, 100↑↑↑↑↑↑50
 * Goggol / hecta-eptaxis / hecta-eptaksys / Exoogol, {10,100,6} = 10 100
 * Goggolunex, 1010↑ 6100
 * Goggolduex, 10↑↑10↑6100
 * Goggolthrex, 10↑↑↑10↑6100
 * Goggolquadrex, 10↑↑↑↑10↑6100
 * Goggolquinex, 10↑6101
 * Gulgol / hextowergol, E100#100#100#100#100#100 = E100##6
 * Gulgolplex, 10E100#100#100#100#100#100
 * Gulgoldex, E100#(E100#100#100#100#100#100)
 * Gulgolthrex, E100#100#(E100#100#100#100#100#100)
 * Gulgoltetrex, E100#100#100#(E100#100#100#100#100#100)
 * Gulgolpentex, E100#100#100#100#100#101
 * Heptofaxul, 200!5
 * Chilia-eptaxis / goggolchime, E1#1#1#1#1#1,000
 * Gulgolchime, E1,000#1,000#1,000#1,000#1,000#1,000
 * Myria-eptaxis / goggoltoll / goghol, E1#1#1#1#1#10,000
 * Gulgoltoll, E10,000#10,000#10,000#10,000#10,000#10,000
 * Goggolgong, E1#1#1#1#1#100,000
 * Gulgolgong, E100,000##6
 * Goggolbong, E1#1#1#1#1#100,000,000
 * Gulgolbong, E100,000,000##6
 * Goggolthrong, E1#1#1#1#1#100,000,000,000
 * Gulgolthrong, E100,000,000,000##6
 * Googolhex (Tiaokhiao), 10↑610100
 * Googolhex (Saibian), E100#1#1#1#1#1#2
 * Ecetonhex, E303#1#1#1#1#1#2

\(f_7(10^{10^6})\) ~ \(f_8(10^{10^6})\)

 * Giggolhex, 10↑610↑↑100
 * Grangolhex, E100#100#1#1#1#1#2
 * Gaggolhex, 10↑610↑↑↑100
 * Greagolhex, E100#100#100#1#1#1#2
 * Geegolhex, 10↑610↑↑↑↑100
 * Gigangolhex, E100#100#100#100#1#1#2
 * Gigolhex, 10↑610↑↑↑↑↑100
 * Gorgegolhex, E100#100#100#100#100#1#2
 * Grand hexofaxul, 200(!4)200!4+1 ~ 10 10↑↑↑↑↑198
 * Oktia / fainega, 2[9], 2 in a nonagon
 * Hughal, 3 3
 * Gorgegolpentexihex, E100#100#100#100#100#2#2
 * Grand kilohexofaxul, 200(!4)(200!4)!4+1 ~ 10 10↑↑↑↑↑10↑↑↑↑↑198
 * Faitria, 3[8][8]
 * Grand megahexofaxul, 200(!4)((200!4)!4)!4+1 ~ 10 (E10#10#10#10#197#3)
 * Faitera, 4[8][8]
 * Grand gigahexofaxul, 200(!4)(((200!4)!4)!4)!4+1 ~ 10 (E10#10#10#10#197#4)
 * Tria-octaxis / tria-octaksys, 10 10 10
 * Goggolplex / goggolhex, 10↑610↑6100
 * Gulgolhex / hextowergolhex, E100#100#100#100#100#100#2
 * Gulgolhexichime, E1,000#1,000#1,000#1,000#1,000#1,000#2
 * Gulgolhexitoll, E10,000#10,000#10,000#10,000#10,000#10,000#2
 * Gulgolhexigong, E100,000#100,000#100,000#100,000#100,000#100,000#2
 * Gulgolhexibong, E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#2
 * Gulgolhexithrong, E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#2
 * Ecetonduhex, E303#1#1#1#1#1#3
 * Gorgegolduhex, E100#100#100#100#100#1#3
 * Bigrand hexofaxul, 200(!4)200(!4) 200!4+1+1 ~ E10#10#10#10#hexofaxul#2
 * Funnynega, 2[8][8][8]
 * Gorgegolpentexiduhex, E100#100#100#100#100#2#3
 * Oktria / funnytria, 3[9], 3 in a nonagon
 * Funnytera, 4[8][8][8]
 * Tetra-octaxis / tetra-octaksys, 10 4
 * Goggolduplex, 10↑610↑610↑6100
 * Gulgolduhex, E100#100#100#100#100#100#3
 * Gulgolduhexichime, E1,000#1,000#1,000#1,000#1,000#1,000#3
 * Gulgolduhexitoll, E10,000#10,000#10,000#10,000#10,000#10,000#3
 * Gulgolduhexigong, E100,000#100,000#100,000#100,000#100,000#100,000#3
 * Gulgolduhexibong, E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#3
 * Gulgolduhexithrong, E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#3
 * Ecetontrihex, E303#1#1#1#1#1#4
 * Gorgegoltrihex, E100#100#100#100#100#1#4
 * Trigrand hexofaxul, 200(!4)200(!4) 200(!4) 200!4+1+1 +1 ~ E10#10#10#10#hexofaxul#3
 * Ftetrinega, 2[8][8][8][8]
 * Gorgegolpentexitrihex, E100#100#100#100#100#2#4
 * Ftetritria, 3[8][8][8][8]
 * Oktetra / ftetritera, 4[9], 4 in a nonagon
 * Goggoltreplex, 10↑610↑610↑610↑6100
 * Gulgoltrihex, E100#100#100#100#100#100#4
 * Fpentinega, 2[8][8][8][8][8]
 * Fpentitria, 3[8][8][8][8][8]
 * Fhexinega, 2[8][8][8][8][8][8]
 * Fhexitria, 3[8][8][8][8][8][8]
 * Trisept / Govij, {7,7,7} = 7 7
 * Booganine, 9 9
 * Deka-octaxis / deka-octaksys, 10 10
 * Octalum, f8(10)
 * Hafol, 10↑750
 * Geiggeil, (3 50) 50
 * Gagol / hecta-octaxis / hecta-octaksys / Eptoogol, {10,100,7} = 10 100
 * Gagolunex, 1010↑ 7100
 * Gagolduex, 10↑↑10↑7100
 * Gagolthrex, 10↑↑↑10↑7100
 * Gagolquadrex, 10↑↑↑↑10↑7100
 * Gagolquinex, 10↑↑↑↑↑10↑7100
 * Gagolhex, 10↑7101
 * Gaspgol, E100#100#100#100#100#100#100 = E100##7
 * Gaspgolplex, 10E100##7
 * Gaspgoldex, E100#(E100##7)
 * Gaspgolthrex, E100#100#(E100##7)
 * Gaspgoltetrex, E100#100#100#(E100##7)
 * Gaspgolpentex, E100#100#100#100#(E100##7)
 * Gaspgolhex, E100#100#100#100#100#100#101
 * Octofaxul, 200!6
 * Chilia-octaxis / gagolchime, E1#1#1#1#1#1#1,000
 * Gaspgolchime, E1,000##7
 * Geiggeim, (3 1,000) 1,000
 * Myria-octaxis / gagoltoll / gahol, E1#1#1#1#1#1#10,000
 * Gaspgoltoll, E10,000##7
 * Gagolgong, E1#1#1#1#1#1#100,000
 * Gaspgolgong, E100,000##7
 * Gagolbong, E1#1#1#1#1#1#100,000,000
 * Gaspgolbong, E100,000,000##7
 * Gagolthrong, E1#1#1#1#1#1#100,000,000,000
 * Gaspgolthrong, E100,000,000,000##7
 * Googolhepex, 10↑710100
 * Googolheptex, E100#1#1#1#1#1#1#2
 * Ecetonheptex, E303#1#1#1#1#1#1#2

\(f_8(10^{10^6})\) ~ \(f_9(10^{10^6})\)

 * Giggolhepex, 10↑710↑↑100
 * Grangolheptex, E100#100#1#1#1#1#1#2
 * Gaggolhepex, 10↑710↑↑↑100
 * Greagolheptex, E100#100#100#1#1#1#1#2
 * Geegolhepex, 10↑710↑↑↑↑100
 * Gigangolheptex, E100#100#100#100#1#1#1#2
 * Gigolhepex, 10↑710↑↑↑↑↑100
 * Gorgegolheptex, E100#100#100#100#100#1#1#2
 * Goggolhepex, 10↑710↑6100
 * Gulgolheptex, E100#100#100#100#100#100#1#2
 * Gulgolhexiheptex, E100#100#100#100#100#100#2#2
 * Tria-ennaxis / tria-ennaksys, 10 10 10
 * Gagolplex / gagolhepex, 10↑710↑7100
 * Gaspgolheptex, E100#100#100#100#100#100#100#2
 * Gaspgolheptexichime, E1,000#1,000#1,000#1,000#1,000#1,000#1,000#2
 * Gaspgolheptexitoll, E10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
 * Gaspgolheptexigong, E100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
 * Gaspgolheptexibong, E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#2
 * Gaspgolheptexithrong, E100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#2
 * Ecetonduheptex, E303#1#1#1#1#1#1#3
 * Gulgolduheptex, E100#100#100#100#100#100#1#3
 * Gulgolhexiduheptex, E100#100#100#100#100#100#2#3
 * Tetra-ennaxis / tetra-ennaksys, 10 4
 * Gagolduplex, 10↑710↑710↑7100
 * Gaspgolduheptex, E100#100#100#100#100#100#100#3
 * Gaspgolduheptexichime, E1,000#1,000#1,000#1,000#1,000#1,000#1,000#3
 * Gaspgolduheptexitoll, E10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
 * Gaspgolduheptexigong, E100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
 * Gagoltreplex, 10↑710↑710↑710↑7100
 * Trioct / Goviji, 8↑88
 * Deka-ennaxis / deka-ennaksys, 10 10
 * Nonalum, f9(10)
 * Hogdafol, 10↑850
 * Hecta-ennaxis / hecta-ennaksys / ogdagol / Ottoogol, 10 100
 * Ogdagolunex, 1010↑ 8100
 * Ogdagolduex, 10↑↑10↑8100
 * Ogdagolthrex, 10↑↑↑10↑8100
 * Ogdagolquadrex, 10↑↑↑↑10↑8100
 * Ogdagolquinex, 10↑↑↑↑↑10↑8100
 * Ogdagolhex, 10↑610↑8100
 * Ogdagolhepex, 10↑8101
 * Ginorgol, E100#100#100#100#100#100#100#100 = E100##8
 * Ginorgolplex, 10E100##8
 * Ginorgoldex, E100#(E100##8)
 * Ginorgolthrex, E100#100#(E100##8)
 * Ginorgoltetrex, E100#100#100#(E100##8)
 * Ginorgolpentex, E100#100#100#100#(E100##8)
 * Ginorgolhex, E100#100#100#100#100#(E100##8)
 * Ginorgolheptex, E100#100#100#100#100#100#100#101
 * Chilia-ennaxis, E1#1#1#1#1#1#1#1,000
 * Ginorgolchime, E1,000##8
 * Myria-ennaxis / ogdahol, E1#1#1#1#1#1#1#10,000
 * Ginorgoltoll, E10,000##8
 * Ginorgolgong, E100,000##8
 * Ginorgolbong, E100,000,000##8
 * Ginorgolthrong, E100,000,000,000##8
 * Googologdex, 10↑810100
 * Googoloctex, E100#1#1#1#1#1#1#1#2
 * Ecetonoctex, E303#1#1#1#1#1#1#1#2

\(f_9(10^{10^6})\) ~ \(f_{10}(10^{10^6})\)

 * Giggologdex, 10↑810↑↑100
 * Grangoloctex, E100#100#1#1#1#1#1#1#2
 * Gaggologdex, 10↑810↑↑↑100
 * Greagoloctex, E100#100#100#1#1#1#1#1#2
 * Geegologdex, 10↑810↑↑↑↑100
 * Gigangoloctex, E100#100#100#100#1#1#1#1#2
 * Gigologdex, 10↑810↑↑↑↑↑100
 * Gorgegoloctex, E100#100#100#100#100#1#1#1#2
 * Goggologdex, 10↑810↑6100
 * Gulgoloctex, E100#100#100#100#100#100#1#1#2
 * Gagologdex, 10↑810↑7100
 * Gaspgoloctex, E100#100#100#100#100#100#100#1#2
 * Gaspgolheptexioctex, E100#100#100#100#100#100#100#2#2
 * Tria-dekaxis / tria-dekaksys, 10 10 10
 * Ogdagolplex / ogdagologdex, 10↑810↑8100
 * Ginorgoloctex, E100#100#100#100#100#100#100#100#2
 * Ginorgoloctexichime, E1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#2
 * Ginorgoloctexitoll, E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
 * Ginorgoloctexigong, E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
 * Ginorgoloctexibong, E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#2
 * Ginorgoloctexithrong, E1011#1011#1011#1011#1011#1011#1011#1011#2
 * Ecetonduoctex, E303#1#1#1#1#1#1#1#3
 * Gaspgolduoctex, E100#100#100#100#100#100#100#1#3
 * Gaspgolheptexiduoctex, E100#100#100#100#100#100#100#2#3
 * Tetra-dekaxis / tetra-dekaksys, 10 4
 * Ogdagolduplex, 10↑810↑810↑8100
 * Ginorgolduoctex, E100#100#100#100#100#100#100#100#3
 * Ginorgolduoctexichime, E1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#3
 * Ginorgolduoctexitoll, E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
 * Ginorgolduoctexigong, E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
 * Ogdagoltreplex, 10↑810↑810↑810↑8100
 * Triennet / trienn / Gix, 9↑99
 * Deka-dekaxis / deka-dekaksys, 10 10
 * Dekalum / zeraddom / zerunalum, f10(10)
 * Hnovafol, 10↑950
 * Gaxoogol, 100↑950
 * Hecta-dekaxis / hecta-dekaksys / novagol / Ennoogol, 10 100
 * Novagolunex, 1010↑ 9100
 * Novagolduex, 10↑↑10↑9100
 * Novagolthrex, 10↑↑↑10↑9100
 * Novagolquadrex, 10↑↑↑↑10↑9100
 * Novagolquinex, 10↑↑↑↑↑10↑9100
 * Novagolhex, 10↑610↑9100
 * Novagolhepex, 10↑710↑9100
 * Novagologdex, 10↑9101
 * Gargantuul, E100##9
 * Gargantuulplex, 10E100##9
 * Gargantuuldex, E100#(E100##9)
 * Gargantuulthrex, E100#100#(E100##9)
 * Gargantuultetrex, E100#100#100#(E100##9)
 * Gargantuulpentex, E100#100#100#100#(E100##9)
 * Gargantuulhex, E100#100#100#100#100#(E100##9)
 * Gargantuulheptex, E100#100#100#100#100#100#(E100##9)
 * Gargantuuloctex, E100#100#100#100#100#100#100#100#101
 * Chilia-dekaxis, E1#1#1#1#1#1#1#1#1,000
 * Gargantuulchime, E1,000##9
 * Myria-dekaxis / novahol, E1#1#1#1#1#1#1#1#10,000
 * Gargantuultoll, E10,000##9
 * Gargantuulgong, E100,000##9
 * Gargantuulbong, E100,000,000##9
 * Gargantuulthrong, E100,000,000,000##9
 * Googolnovex, 10↑910100
 * Googolennex, E100#1#1#1#1#1#1#1#1#2
 * Ecetonennex, E303#1#1#1#1#1#1#1#1#2

\(f_{10}(10^{10^6})\) ~ \(f_{20}(10^{10^6})\)

 * Giggolnovex, 10↑910↑↑100
 * Grangolennex, E100#100#1#1#1#1#1#1#1#2
 * Gaggolnovex, 10↑910↑↑↑100
 * Greagolennex, E100#100#100#1#1#1#1#1#1#2
 * Geegolnovex, 10↑910↑↑↑↑100
 * Gigangolennex, E100#100#100#100#1#1#1#1#1#2
 * Gigolnovex, 10↑910↑↑↑↑↑100
 * Gorgegolennex, E100#100#100#100#100#1#1#1#1#2
 * Goggolnovex, 10↑910↑6100
 * Gulgolennex, E100#100#100#100#100#100#1#1#1#2
 * Gagolnovex, 10↑910↑7100
 * Gaspgolennex, E100#100#100#100#100#100#100#1#1#2
 * Ogdagolnovex, 10↑910↑8100
 * Ginorgolennex, E100#100#100#100#100#100#100#100#1#2
 * Ginorgoloctexiennex, E100#100#100#100#100#100#100#100#2#2
 * Tria-endekaxis, E1#1#1#1#1#1#1#1#1#3
 * Novagolplex / novagolnovex, 10↑910↑9100
 * Gargantuulennex / enneowergolennex, E100#100#100#100#100#100#100#100#100#2
 * Gargantuulennexichime, E1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#2
 * Gargantuulennexitoll, E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
 * Gargantuulennexigong, E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
 * Gargantuulennexibong, E100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#2
 * Gargantuulennexithrong, E1011#1011#1011#1011#1011#1011#1011#1011#1011#2
 * Ecetonduennex, E303#1#1#1#1#1#1#1#1#3
 * Ginorgolduennex, E100#100#100#100#100#100#100#100#1#3
 * Ginorgoloctexiduennex, E100#100#100#100#100#100#100#100#2#3
 * Tetra-endekaxis, E1#1#1#1#1#1#1#1#1#4
 * Novagolduplex, 10↑910↑910↑9100
 * Gargantuulduennex, E100#100#100#100#100#100#100#100#100#3
 * Gargantuulduennexichime, E1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#3
 * Gargantuulduennexitoll, E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
 * Gargantuulduennexigong, E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
 * Novagoltreplex, 10↑910↑910↑910↑9100
 * Tridecal / deka-endekaxis / Gex, {10,10,10}
 * Twasbrillig's Up-arrow Salad, (10↑1010)!*(10↑910)!↑6(10↑610)!
 * Ununalum, f11(10)
 * Hdekafol, 10↑1050
 * Hecta-endekaxis / hecta-endekaksys / dekagol / Dekoogol, 10↑10100
 * Dekagolunex, 1010↑ 10100
 * Dekagolduex, 10↑↑10↑10100
 * Dekagolthrex, 10↑↑↑10↑10100
 * Dekagolquadrex, 10↑↑↑↑10↑10100
 * Dekagolquinex, 10↑↑↑↑↑10↑10100
 * Dekagolhex, 10↑610↑10100
 * Dekagolhepex, 10↑710↑10100
 * Dekagologdex, 10↑810↑10100
 * Dekagolnovex, 10↑10101
 * Googondol, E100##10
 * Googondolplex, 10E100##10
 * Googondoldex, E100#(E100##10)
 * Googondolthrex, E100#100#(E100##10)
 * Googondoltetrex, E100#100#100#(E100##10)
 * Googondolpentex, E100#100#100#100#(E100##10)
 * Googondolhex, E100#100#100#100#100#(E100##10)
 * Googondolheptex, E100#100#100#100#100#100#(E100##10)
 * Googondoloctex, E100#100#100#100#100#100#100#(E100##10)
 * Googondolennex, E100#100#100#100#100#100#100#100#100#101
 * Chilia-endekaxis, E1#1#1#1#1#1#1#1#1#1,000
 * Googondolchime, E1,000##10
 * Myria-endekaxis / dekahol, E1#1#1#1#1#1#1#1#1#10,000
 * Googondoltoll, E10,000##10
 * Googondolgong, E100,000##10
 * Googondolbong, E100,000,000##10
 * Googondolthrong, E100,000,000,000##10
 * Googoldekex, 10↑1010100
 * Googoldecex, E100#1#1#1#1#1#1#1#1#1#2
 * Ecetondecex, E303#1#1#1#1#1#1#1#1#1#2
 * Giggoldekex, 10↑1010↑↑100
 * Grangoldecex, E100#100#1#1#1#1#1#1#1#1#2
 * Gaggoldekex, 10↑1010↑↑↑100
 * Greagoldecex, E100#100#100#1#1#1#1#1#1#1#2
 * Geegoldekex, 10↑1010↑↑↑↑100
 * Gigangoldecex, E100#100#100#100#1#1#1#1#1#1#2
 * Gigoldekex, 10↑1010↑↑↑↑↑100
 * Gorgegoldecex, E100#100#100#100#100#1#1#1#1#1#2
 * Goggoldekex, 10↑1010↑6100
 * Gulgoldecex, E100#100#100#100#100#100#1#1#1#1#2
 * Gagoldekex, 10↑1010↑7100
 * Gaspgoldecex, E100#100#100#100#100#100#100#1#1#1#2
 * Ogdagoldekex, 10↑1010↑8100
 * Ginorgoldecex, E100#100#100#100#100#100#100#100#1#1#2
 * Novagoldekex, 10↑1010↑9100
 * Gargantuuldecex, E100#100#100#100#100#100#100#100#100#1#2
 * Gargantuulennexidecex, E100#100#100#100#100#100#100#100#100#2#2
 * Gargantuulduennexidecex, E100#100#100#100#100#100#100#100#100#3#2
 * Tria-dodekaxis, E1#1#1#1#1#1#1#1#1#1#3
 * Dekagolplex / dekagoldekex, 10↑1010↑10100
 * Googondoldecex / decowergoldecex, E100#100#100#100#100#100#100#100#100#100#2
 * Googondoldecexichime, E1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#2
 * Googondoldecexitoll, E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
 * Googondoldecexigong, E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
 * Googondoldecexibong, E108#108#108#108#108#108#108#108#108#108#2
 * Googondoldecexithrong, E1011#1011#1011#1011#1011#1011#1011#1011#1011#1011#2
 * Ecetondudecex, E303#1#1#1#1#1#1#1#1#1#3
 * Gargantuuldudecex, E100#100#100#100#100#100#100#100#100#1#3
 * Gargantuulennexidudecex, E100#100#100#100#100#100#100#100#100#2#3
 * Gargantuulduennexidudecex, E100#100#100#100#100#100#100#100#100#3#3
 * Tetra-dodekaxis, E1#1#1#1#1#1#1#1#1#1#4
 * Dekagolduplex, 10↑1010↑1010↑10100
 * Googondoldudecex, E100#100#100#100#100#100#100#100#100#100#3
 * Googondoldudecexichime, E1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#3
 * Googondoldudecexitoll, E10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
 * Googondoldudecexigong, E100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
 * Googondoldudecexibong, E108#108#108#108#108#108#108#108#108#108#3
 * Googondoldudecexithrong, E1011#1011#1011#1011#1011#1011#1011#1011#1011#1011#3
 * Dekagoltreplex, 10↑1010↑1010↑1010↑10100
 * Deka-dodekaxis, {10,10,11}
 * Bunalum, f12(10)
 * Triundecal / Goxi, {11,11,11}
 * Hyperhypillion, H*(10,10,10,10,10,10,10,10,10,10)
 * Hecta-dodekaxis / undekagol, {10,100,11}
 * Googoadol, E100##11
 * Chilia-dodekaxis, {10,1000,11}
 * Myria-dodekaxis, {10,10000,11}
 * Trunalum, f13(10)
 * Tridodecal / Goxij, {12,12,12}
 * Duodekagol, {10,100,12}
 * Goograndol, E100##12
 * Quadrunalum, f14(10)
 * Goxiji, {13,13,13}
 * Gaxivoogol, {100,50,13}
 * Tredekagol, {10,100,13}
 * Googreadol, E100##13
 * Quintunalum, f15(10)
 * Gaxvoogol, {100,50,14}
 * Quattourdekagol, {10,100,14}
 * Googigandol, E100##14
 * Sextunalum, f16(10)
 * Quindekagol, {10,100,15}
 * Googorgedol, E100##15
 * Septunalum, f17(10)
 * Sexdekagol, {10,100,16}
 * Googuldol, E100##16
 * Octunalum, f18(10)
 * Exi-hyperhypillion, H*(16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16)
 * Septendekagol, {10,100,17}
 * Googaspdol, E100##17
 * Nonunalum, f19(10)
 * Octodekagol, {10,100,18}
 * Googinordol, E100##18
 * Zeribalum / vigalum, f20(10)
 * Gaxixoogol, {100,50,19}
 * Novemdekagol, {10,100,19}
 * Googarganduul, E100##19

\(f_{20}(10^{10^6})\) ~ \(f_{\omega}(10^{10^6})\)

 * Unibalum, f21(10)
 * Gaxxoogol, {100,50,20}
 * Icosagol, {10,100,20}
 * Googonkosol, E100##20
 * Bibalum, f22(10)
 * Tribalum, f23(10)
 * Quadribalum, f24(10)
 * Quintibalum, f25(10)
 * Sextibalum, f26(10)
 * Qoflsol, {10,10,25}
 * Septibalum, f27(10)
 * Primitol, {3,3,27}
 * Octibalum, f28(10)
 * Nonibalum, f29(10)
 * Zeritralum, f30(10)
 * Unitralum, f31(10)
 * Triacontagol, {10,100,30}
 * Googontritol, E100##30
 * Bitralum, f32(10)
 * Tritralum, f33(10)
 * Quadritralum, f34(10)
 * Quintitralum, f35(10)
 * Sextitralum, f36(10)
 * Septitralum, f37(10)
 * Octitralum, f38(10)
 * Nonitralum, f39(10)
 * Zeriquadralum, f40(10)
 * Uniquadralum, f41(10)
 * Tetracontagol, {10,100,40}
 * Googonsartol, E100##40
 * Biquadralum, f42(10)
 * Triquadralum, f43(10)
 * Quadriquadralum, f44(10)
 * Quintiquadralum, f45(10)
 * Sextiquadralum, f46(10)
 * Septiquadralum, f47(10)
 * Octiquadralum, f48(10)
 * Noniquadralum, f49(10)
 * Zeriquintalum, f50(10)
 * Uniquintalum, f51(10)
 * Hoflsol, {10,10,50}
 * Gol, {50,50,50}
 * Pentacontagol, {10,100,50}
 * Googonpetol, E100##50
 * Biquintalum, f52(10)
 * Triquintalum, f53(10)
 * Quadriquintalum, f54(10)
 * Quintiquintalum, f55(10)
 * Sextiquintalum, f56(10)
 * BLT, {10,100,55}
 * Septiquintalum, f57(10)
 * Octiquintalum, f58(10)
 * Noniquintalum, f59(10)
 * Zerisextalum, f60(10)
 * Unisextalum, f61(10)
 * Hexacontagol, {10,100,60}
 * Googonextol, E100##60
 * Bisextalum, f62(10)
 * Trisextalum, f63(10)
 * Quadrisextalum, f64(10)
 * Quintisextalum, f65(10)
 * Sextisextalum, f66(10)
 * Septisextalum, f67(10)
 * Octisextalum, f68(10)
 * Nonisextalum, f69(10)
 * Zeriseptalum, f70(10)
 * Uniseptalum, f71(10)
 * Heptacontagol, {10,100,70}
 * Googoneptol, E100##70
 * Biseptalum, f72(10)
 * Triseptalum, f73(10)
 * Quadriseptalum, f74(10)
 * Quintiseptalum, f75(10)
 * Sextiseptalum, f76(10)
 * Septiseptalum, f77(10)
 * Octiseptalum, f78(10)
 * Noniseptalum, f79(10)
 * Zeroctalum, f80(10)
 * Unoctalum, f81(10)
 * Octacontagol, {10,100,80}
 * Googonogdol, E100##80
 * Boctalum, f82(10)
 * Troctalum, f83(10)
 * Quadroctalum, f84(10)
 * Quintoctalum, f85(10)
 * Sextoctalum, f86(10)
 * Septoctalum, f87(10)
 * Octoctalum, f88(10)
 * Nonoctalum, f89(10)
 * Zerinonalum, f90(10)
 * Uninonalum, f91(10)
 * Nonacontagol, {10,100,90}
 * Googonentol, E100##90
 * Binonalum, f92(10)
 * Trinonalum, f93(10)
 * Quadrinonalum, f94(10)
 * Quintinonalum, f95(10)
 * Sextinonalum, f96(10)
 * Septinonalum, f97(10)
 * Octinonalum, f98(10)
 * Centifact, 100*
 * Noninonalum, f99(10)
 * Boogahundred, {100,100,98}
 * Hektalum, f100(10)
 * Octal-golsol, s(8,100,1,2) = {8,8,100}
 * Boogol / kiloogol / golsol / gurea, {10,10,100} = s(10,100,1,2)
 * Golsolunex / googol-golsoler, s(10,s(10,100,1,2)) = 10golsol
 * Golsolduex / giggol-golsoler, s(10,s(10,100,1,2),2)
 * Golsolthrex / gaggol-golsoler, s(10,s(10,100,1,2),3)
 * Duodecimal-golsol, s(12,100,1,2) = {12,12,100}
 * Woogol / hectagol, hyper(10,102,100) = {10,100,100}
 * Hyperon / Megathor, {100,100,100}
 * Gugold / goolda / gugond / googonhectol, E100##100
 * Astragold, #^((10))*100
 * Wiggol, {10,100,200}
 * Hyperfaxul / ducenfaxul, 200![1] = 200!200 ~ {10,198,201}
 * Gooccyxelviji, {248,248,248}
 * Miser, 256[258], 256 in a 258-gon
 * Waggol, {10,100,300}
 * Weegol, {10,100,400}
 * Wigol, {10,100,500}
 * Woggol, {10,100,600}
 * Wagol, {10,100,700}
 * Kilalum, f1,000(10)
 * Gamoogol, g(1000,50,100) = {100,50,999}
 * Bwoogol, {10,10,1000}
 * Gugoldachime, E1,000##1,000
 * Myriofact, 10,000*
 * Gugoldatoll, E10,000##10,000
 * Boogolgong, {10,10,100000}
 * Gugoldagong / gooldagong, E100,000##100,000
 * Megalum, \(f_{10^6}(10)\)
 * Gigalum, \(f_{10^9}(10)\)
 * Booilsol, s(10,2,2,2) = {10,10,{10,10}}
 * Teralum, \(f_{10^{12}}(10)\)
 * Petalum, \(f_{10^{15}}(10)\)
 * Exalum, \(f_{10^{18}}(10)\)
 * Zettalum, \(f_{10^{21}}(10)\)
 * Yottalum, \(f_{10^{24}}(10)\)
 * Boogagoogol, {10100,10100,10100-2}
 * Gaggoogol, A(10100,10100)
 * Dugoogol, g(2,1,1,2,50,100) = {100,50,10100-1}
 * Dugoogodul, g(2,1,2,2,50,100) = {{ 100,50,10100-1},50,10100-1}
 * Dugoodugol, g(2,2,1,2,50,100) = {100,{100,50,10100-1},10100-1}
 * Dugoodugodul, g(2,2,2,2,50,100) = {{ 100,{100,50,10100-1},10100-1},{100,50,10100-1},10100-1}
 * Gongol, hyper(10,10100,100) = {10,100,10100}
 * Great googol (Saibian), E100##1#2
 * Googoldiflux / googolgoogolflex, 10↑(10 100) (10100)
 * Mevalkogol, 10100[10100,10100]
 * Deltagoogolplex, g(20000,g(2,2,50,100),50,100)

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