List of googolisms/Linear omega level

List of googolisms

• Class 0 and 1
• Class 2
• Class 3
• Class 4
• Class 5
• Tetration level
• Up-arrow notation level
• Linear omega level
• Quadratic omega level
• Polynomial omega level
• Exponentiated linear omega level
• Exponentiated polynomial omega level
• Double exponentiated polynomial omega level
• Triple exponentiated polynomial omega level
• Iterated Cantor normal form level
• Epsilon level
• Binary phi level
• Bachmann's collapsing level
• Higher computable level
• Uncomputable numbers

Smaller numbers

{a,b,c,2}

{a,b,1,2}

• Moser, 2[2[5]], 2 in a mega-gon
• Graham grahal, \(g_2 = 3 \underbrace{\uparrow\uparrow\ldots\uparrow\uparrow}_{3 \uparrow\uparrow\uparrow\uparrow 3} 3\)
• Boogolplex, {10,10,boogol}
• Gugolda-suplex, E100##100#2 = E100##gugold
• Kilohyperfaxul, (200![1])![1] ~ {10,198,hyperfaxul}
• Gugolda-suplexigong, E100000##100000#2
• Gongolplex, hyper(10,gongol,100)
• Boogolduplex, {10,10,boogolplex}
• Gugolda-dusuplex, E100##100#3
• Megahyperfaxul, ((200![1])![1])![1] ~ {10,198,kilohyperfaxul}
• Gugolda-dusuplexigong, E100000##100000#3
• Boogoltriplex, {10,10,boogolduplex}
• Gigahyperfaxul, (((200![1])![1])![1])![1] ~ {10,198,megahyperfaxul}
• Terahyperfaxul, ~ {10,198,gigahyperfaxul}
• Petahyperfaxul, ~ {10,198,terahyperfaxul}
• Little Graham, F⁷(12), where F(n) = 2↑ⁿ3
• Exahyperfaxul, ~ {10,198,petahyperfaxul}
• Graham's number, G = g₆₄
• xkcd number, A(G,G)
• Corporal, {10,100,1,2}
• Graatagold, E100##100#100 = E100##100##2
• Graatagoldagong, E100000##100000#100000 = E100000##100000##2
• Forcal, g_1000000
• Graham forcal, g_1000001
• Graham graham forcal, g_1000002
• Graham graham graham forcal, g_1000003
• Clarkkkkson, \(\approx f_{\omega+1}(10^{10^{2000}})\) (increases throughout time)
• Grand hyperfaxul, ~ {10,hyperfaxul,1,2}
• Lower bound of n(4)
• Grand kilohyperfaxul, ~ {10,kilohyperfaxul,1,2}
• Grand megahyperfaxul, ~ {10,megahyperfaxul,1,2}
• Grand gigahyperfaxul, ~ {10,gigahyperfaxul,1,2}
• Grand terahyperfaxul, ~ {10,terahyperfaxul,1,2}
• Grand petahyperfaxul, ~ {10,petahyperfaxul,1,2}
• Grand exahyperfaxul, ~ {10,exahyperfaxul,1,2}
• Conway's Tetratri, 3→3→3→3 ~ g_g27
• Corporalplex, {10,corporal,1,2}
• Graatagolda-sudex, E100##100#100#2
• Graatagolda-sudexigong, E100000##100000#100000#2
• Force forcal, g_forcal

{a,b,2,2}

• Clarkkkksonplex, \(\approx f_{\omega+1}(f_{\omega+1}(10^{10^{2000}}))\) (increases throughout time)
• Bigrand hyperfaxul, ~ {10,grand hyperfaxul,1,2}
• Bigrand kilohyperfaxul, ~ {10,grand kilohyperfaxul,1,2}
• Bigrand megahyperfaxul, ~ {10,grand megahyperfaxul,1,2}
• Graatagolda-dusudex, E100##100#100#3
• Graatagolda-dusudexigong, E100000##100000#100000#3
• Force force forcal, g_{force forcal}
• Trigrand hyperfaxul, ~ {10,bigrand hyperfaxul,1,2}
• Trigrand kilohyperfaxul, ~ {10,bigrand kilohyperfaxul,1,2}
• Trigrand megahyperfaxul, ~ {10,bigrand megahyperfaxul,1,2}
• Force force force forcal, g_{force force forcal}
• Quadgrand hyperfaxul, ~ {10,6,2,2}
• Quintgrand hyperfaxul, ~ {10,7,2,2}
• Greegold, E100##100#100#100 = E100##100##3
• Greegoldagong, E100000##100000#100000#100000 = E100000##100000##3
• Suporcal, Forcal(1000000)
• Force suporcal, g_suporcal
• Force force suporcal, g_{force suporcal}
• Force force force suporcal, g_{force force suporcal}
• Greegolda-suthrex, E100##100#100#100#2
• Greegolda-suthrexigong, E100000##100000#100000#100000#2
• Superior suporcal, Forcal(suporcal)

{a,b,3,2}

• Conway's Tetratet, 4→4→4→4 = CG(4)
• Greegolda-dusuthrex, E100##100#100#100#3
• Greegolda-dusuthrexigong, E100000##100000#100000#100000#3
• Superior superior suporcal, Forcal₂(3)
• Superior superior superior suporcal, Forcal₂(4)
• Grinningold, E100##100#100#100#100 = E100##100##4
• Grinningoldagong, E100000##100000#100000#100000#100000 = E100000##100000##4
• Megocal, Forcal₂(1000000) = Forcal₃(1)
• Force megocal, g_megocal
• Superior megocal, Forcal(megocal)
• Superior superior megocal, Forcal(superior megocal)
• Grinningolda-sutetrex, E100##100#100#100#100#2
• Grinningolda-sutetrexigong, E100000##100000#100000#100000#100000#2
• Megaior megocal, Forcal₃(2)
• Grinningolda-dusutetrex, E100##100#100#100#100#3
• Grinningolda-dusutetrexigong, E100000##100000#100000#100000#100000#3

{a,b,4,2} ~ {a,b,9,2}

• Megaior megaior megocal, Forcal₃(3)
• Megaior megaior megaior megocal, Forcal₃(4)
• Golaagold, E100##100##5
• Golaagoldagong, E100000##100000##5
• Hypercal, Forcal₄(1)
• Force hypercal, g_hypercal
• Superior hypercal, Forcal(hypercal)
• Megaior hypercal, Forcal₂(hypercal)
• Golaagolda-supentex
• Golaagolda-supentexigong
• Hyperior hypercal, Forcal₄(2)
• Golaagolda-dusupentex
• Golaagolda-dusupentexigong
• Hyperior hyperior hypercal, Forcal₄(3)
• Hyperior hyperior hyperior hypercal, Forcal₄(4)
• Gruelohgold, E100##100##6
• Gruelohgoldagong, E100000##100000##6
• Gorgcal, Forcal₅(1)
• Force gorgcal, g_gorgcal
• Superior gorgcal, Forcal(gorgcal)
• Megaior gorgcal, Forcal₂(gorgcal)
• Hyperior gorgcal, Forcal₃(gorgcal)
• Gruelohgolda-suhex
• Gruelohgolda-suhexigong
• Gorgcaior gorgcal, Forcal₅(2)
• Gruelohgolda-dusuhex
• Gruelohgolda-dusuhexigong
• Gorgcaior gorgcaior gorgcal, Forcal₅(3)
• Gorgcaior gorgcaior gorgcaior gorgcal, Forcal₅(4)
• Gaspgold, E100##100##7
• Gaspgoldagong, E100000##100000##7
• Gulfcal, Forcal₆(1)
• Gaspgolda-suheptex
• Gaspgolda-suheptexigong
• Gulfcaior gulfcal, Forcal₆(2)
• Gaspgolda-dusuheptex
• Gaspgolda-dusuheptexigong
• Gulfcaior gulfcaior gulfcal, Forcal₆(3)
• Gulfcaior gulfcaior gulfcaior gulfcal, Forcal₆(4)
• Ginorgold, E100##100##8
• Ginorgoldagong, E100000##100000##8
• Gaspocal, Forcal₇(1)
• Ginorgolda-suoctex
• Ginorgolda-suoctexigong
• Gaspocaior gaspocal, Forcal₇(2)
• Ginorgolda-dusuoctex
• Ginorgolda-dusuoctexigong
• Gaspocaior gaspocaior gaspocal, Forcal₇(3)
• Gaspocaior gaspocaior gaspocaior gaspocal, Forcal₇(4)
• Ginorcal, Forcal₈(1)
• Ginorcaior ginorcal, Forcal₈(2)
• Ginorcaior ginorcaior ginorcal, Forcal₈(3)
• Ginorcaior ginorcaior ginorcaior ginorcal, Forcal₈(4)

{a,b,10,2} and higher

• Grand tridecal, {10,10,10,2}
• Gugolthra, E100##100##100
• Biggol, {10,10,100,2}
• Giaxul, 200![200] = 200![1,2] ~ {10,10,199,2}
• Kilogiaxul, giaxul![200] ~ {10,3,200,2}
• Megagiaxul, kilogiaxul![200] ~ {10,4,200,2}
• Gigagiaxul, megagiaxul![200] ~ {10,5,200,2}
• Teragiaxul, gigagiaxul![200] ~ {10,6,200,2}
• Petagiaxul, teragiaxul![200] ~ {10,7,200,2}
• Exagiaxul, petagiaxul![200] ~ {10,8,200,2}
• Grand Giaxul, ~ {10,giaxul,200,2}
• Grand Kilogiaxul, ~ {10,kilogiaxul,200,2}
• Grand Megagiaxul
• Grand Gigagiaxul
• Grand Teragiaxul
• Grand Petagiaxul
• Grand Exagiaxul
• Bigrand Giaxul, ~ {10,Grand Giaxul,200,2}
• Bigrand Kilogiaxul
• Bigrand Megagiaxul
• Trigrand Giaxul, ~ {10,4,201,2}
• Trigrand Kilogiaxul
• Trigrand Megagiaxul
• Quadgrand Giaxul, ~ {10,5,201,2}
• Quintgrand Giaxul, ~ {10,6,201,2}
• Bwiggol, {10,10,1000,2}
• Terribocal, Forcal_1000000(1) = Forcal_1,2(1)
• Biggolplex, {10,10,biggol,2}
• Terribocaior Terribocal, Forcal_Terribocal(1) = Forcal_1,2(2)
• Biggolduplex, {10,10,biggolplex,2}

{a,b,c,3}

• Graatagolthra, E100##100##100##2
• Terribuporcal, Forcal_2,2(1)
• Terribuperior Terribuporcal, Forcal_2,2(2)
• Greegolthra, E100##100##100##3
• Terribegocal, Forcal_3,2(1)
• Tetratri, {3,3,3,3}
• Grinningolthra, E100##100##100##4
• Terribypercal, Forcal_4,2(1)
• Golaagolthra, E100##100##100##5
• Terriborgecal, Forcal_5,2(1)
• Gruelohgolthra, E100##100##100##6
• Terribulfcal, Forcal_6,2(1)
• Gaspgolthra, E100##100##100##7
• Terribaspcal, Forcal_7,2(1)
• Ginorgolthra, E100##100##100##8
• Terribinorcal, Forcal_8,2(1)
• Gugoltesla, E100##100##100##100
• Baggol, {10,10,100,3}
• Bwaggol, {10,10,1000,3}
• Tribocal, Forcal_1000000,2(1) = Forcal_1,3(1)
• Baggolplex, {10,10,baggol,3}
• Tribocaior Tribocal, Forcal_1,3(2)

{a,b,c,4} ~ {a,b,c,9}

• Graatagoltesla, E100##100##100##100##2
• Tribuporcal, Forcal_2,3(1)
• Greegoltesla, E100##100##100##100##3
• Tribegocal, Forcal_3,3(1)
• Grinningoltesla, E100##100##100##100##4
• Tribypercal, Forcal_4,3(1)
• Supertet, {4,4,4,4}
• Golaagoltesla, E100##100##100##100##5
• Gruelohgoltesla, E100##100##100##100##6
• Gaspgoltesla, E100##100##100##100##7
• Ginorgoltesla, E100##100##100##100##8
• Gugolpeta, E100##100##100##100##100
• Beegol, {10,10,100,4}
• Bweegol, {10,10,1000,4}
• Tetribocal, Forcal_1,4(1)
• Beegolplex, {10,10,beegol,4}
• Graatagolpeta, E100##100##100##100##100##2
• Tetribuporcal, Forcal_2,4(1)
• Greegolpeta, E100##100##100##100##100##3
• Grinningolpeta, E100##100##100##100##100##4
• Golaagolpeta, E100##100##100##100##100##5
• Gruelohgolpeta, E100##100##100##100##100##6
• Gaspgolpeta, E100##100##100##100##100##7
• Ginorgolpeta, E100##100##100##100##100##8
• Gugolhexa, E100##100##100##100##100##100
• Bigol, {10,10,100,5}
• Bwigol, {10,10,1000,5}
• Pentibocal, Forcal_1,5(1)
• Bigolplex, {10,10,bigol,5}
• Gugolhepta, E100##100##100##100##100##100##100
• Boggol, {10,10,100,6}
• Bwoggol, {10,10,1000,6}
• Hexibocal, Forcal_1,6(1)
• Boggolplex, {10,10,boggol,6}
• Gugolocta, E100##100##100##100##100##100##100##100
• Bagol, {10,10,100,7}
• Bwagol, {10,10,1000,7}
• Heptibocal, Forcal_1,7(1)
• Bagolplex, {10,10,bagol,7}
• Octibocal, Forcal_1,8(1)

{a,b,c,10} and higher

• General, {10,10,10,10}
• Kaboodol
• Throogol, E100###100
• Troogol, {10,10,10,100}
• Giabixul, 200![200,200] ~ {10,10,199,201}
• Kilogiabixul, giabixul![200,200] ~ {10,3,200,201}
• Megagiabixul, kilogiabixul![200,200] ~ {10,4,200,201}
• Gigagiabixul, megagiabixul![200,200] ~ {10,5,200,201}
• Grand Giabixul, ~ {10,giabixul,200,201}
• Grand Kilogiabixul, ~ {10,kilogiabixul,200,201}
• Grand Megagiabixul
• Grand Gigagiabixul
• Bigrand Giabixul, ~ {10,Grand Giabixul,200,201}
• Trigrand Giabixul, ~ {10,4,201,201}
• Tris-Terribocal, Forcal_1,1000000(1) = Forcal_1,1,2(1)
• Generalplex, {10,10,10,general}
• Troogolplex, {10,10,10,troogol}
• Tris-Terribocaior Tris-Terribocal, Forcal_1,1,2(2)
• Troogolduplex, {10,10,10,troogolplex}

Larger numbers