List of googolisms/Higher computable level

Smaller numbers

Since the comparison (or even the well-definedness) of numbers of this level is unknown, the order of entries does not necessarily imply the order of the sizes. Also, several numbers are defined by an OCF, which is uncomputable, and are not known to be computable. Moreover, several approximations are using unspecified (or even ill-defined) OCFs, and hence might be mathematically meaningless.

\(f_{\psi(\varepsilon_{\Omega+1})}(10^6)\) ~ \(f_{\psi(\Omega_\omega)}(10^{10^6})\)

Megotetrommthet, \(f_{\theta(\Omega\uparrow\uparrow10^6,0)}(10)\)
Gigotetrommthet, \(f_{\theta(\Omega\uparrow\uparrow10^9,0)}(10)\)
Terotetrommthet, \(f_{\theta(\Omega\uparrow\uparrow10^{12},0)}(10)\)
Petotetrommthet, \(f_{\theta(\Omega\uparrow\uparrow10^{15},0)}(10)\)
Exotetrommthet, \(f_{\theta(\Omega\uparrow\uparrow10^{18},0)}(10)\)
Zettotetrommthet, \(f_{\theta(\Omega\uparrow\uparrow10^{21},0)}(10)\)
Yottotetrommthet, \(f_{\theta(\Omega\uparrow\uparrow10^{24},0)}(10)\)
Extremebixul, 200![1(1)[₂200,200,200,200,200]]
Kiloextremebixul, (200![1(1)[₂200,200,200,200,200]])![1(1)[₂200,200,200,200,200]]
Extremetrixul, 200![1(1)[₂200,200,200,200,200,200]]
Extremequaxul, 200![1(1)[₂200,200,200,200,200,200,200]]
Bommthet, \(f_{\theta(\Omega_2,0)}(10)\)
Gigantixul, 200![1(1)[₃200,200,200]]
Golapulusplex, {10,100} & 10 & 10 & 10
Gigantibixul, 200![1(1)[₃200,200,200,200]]
Gigantitrixul, 200![1(1)[₃200,200,200,200,200]]
Gigantiquaxul, 200![1(1)[₃200,200,200,200,200,200]]
Trommthet, \(f_{\theta(\Omega_3,0)}(10)\)
Quadrommthet, \(f_{\theta(\Omega_4,0)}(10)\)
Quintommthet, \(f_{\theta(\Omega_5,0)}(10)\)
Sextommthet, \(f_{\theta(\Omega_6,0)}(10)\)
Septommthet, \(f_{\theta(\Omega_7,0)}(10)\)
Octommthet, \(f_{\theta(\Omega_8,0)}(10)\)
Big Mac, {10,10/2}
Nonommthet, \(f_{\theta(\Omega_9,0)}(10)\)
Dekommthet, \(f_{\theta(\Omega_{10},0)}(10)\)
SCG(13) (lower bound), \(\approx f_{\psi(\Omega_\omega)}(13)\)
Hektommthet, \(f_{\theta(\Omega_{100},0)}(10)\)
The Whopper, {10,100/2}
Nucleabixul, 200![_{[₂₀₀200]}200]
Kilommthet, \(f_{\theta(\Omega_{1000},0)}(10)\)
Megommthet, \(f_{\theta(\Omega_{10^6},0)}(10)\)
Gigommthet, \(f_{\theta(\Omega_{10^9},0)}(10)\)
Terommthet, \(f_{\theta(\Omega_{10^{12}},0)}(10)\)
Petommthet, \(f_{\theta(\Omega_{10^{15}},0)}(10)\)
Exommthet, \(f_{\theta(\Omega_{10^{18}},0)}(10)\)
Zettommthet, \(f_{\theta(\Omega_{10^{21}},0)}(10)\)
Yottommthet, \(f_{\theta(\Omega_{10^{24}},0)}(10)\)

\(f_{\psi(\Omega_\omega)}(10^{10^6})\) ~ \(f_{\psi(\psi_I(0))}(10^6)\)

Pair sequence number, \(\approx f_{\psi(\Omega_\omega)+1}(10)\)
段階配列数, \(\approx f_{\psi(\Omega_{\omega})+1}(100)\)
Big boowa, {3,3,3 / 2}
Great big boowa, {3,3,4 / 2}
Grand boowa, {3,3,big boowa / 2} = {3,2,2,2 / 2}
Super gongulus, {10,10 (100) 2 / 2}
Wompogulus, {10,10 (10) 2 / 100}
Guapamonga, 10¹⁰⁰ && (10¹⁰⁰ & 10)
Guapamongaplex, 10^guapamonga && (10^guapamonga & 10)
Bimixommwil, \(f_{\psi(\Omega_{\psi(\Omega)})}(10)\)
Trimixommwil, \(f_{\psi(\Omega_{\psi(\Omega_{\psi(\Omega)})})}(10)\)
Quadrimixommwil, \(f_{\psi(\Omega_{\psi(\Omega_{\psi(\Omega_{\psi(\Omega)})})})}(10)\)
Quintimixommwil, \(f_{\psi(\Omega_{\psi(\Omega_{\psi(\Omega_{\psi(\Omega_{\psi(\Omega)})})})})}(10)\)
Sextimixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{6\ \Omega's}}(10)\)
Septimixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{7\ \Omega's}}(10)\)
Octimixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{8\ \Omega's}}(10)\)
Nonimixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{9\ \Omega's}}(10)\)
Dekomixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{10\ \Omega's}}(10)\)
Binommwil, \(f_{\psi(\Omega_\Omega)}(10)\)
Hektomixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{100\ \Omega's}}(10)\)
Kilomixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{1000\ \Omega's}}(10)\)
Megomixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{10^6\ \Omega's}}(10)\)
Gigomixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{10^9\ \Omega's}}(10)\)
Teromixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{10^{12}\ \Omega's}}(10)\)
Petomixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{10^{15}\ \Omega's}}(10)\)
Exomixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{10^{18}\ \Omega's}}(10)\)
Zettomixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{10^{21}\ \Omega's}}(10)\)
Yottomixommwil, \(f_{\underbrace{\psi(\Omega_{\psi(\Omega_{\cdots_{\psi(\Omega)}\cdots})})}_{10^{24}\ \Omega's}}(10)\)
Nucleatrixul, 200![_{[_{[₂₀₀200]}200]}200]
Trinommwil, \(f_{\psi(\Omega_{\Omega_\Omega})}(10)\)
Nucleaquaxul, 200![_{[_{[_{[₂₀₀200]}200]}200]}200]
Quadrinommwil, \(f_{\psi(\Omega_{\Omega_{\Omega_\Omega}})}(10)\)
Quintinommwil, \(f_{\psi(\Omega_{\Omega_{\Omega_{\Omega_\Omega}}})}(10)\)
Sextinommwil, \(f_{\psi(\Omega_{\Omega_{\Omega_{\Omega_{\Omega_\Omega}}}})}(10)\)
Septinommwil, \(f_{\psi(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{7\ \Omega's})}(10)\)
Octinommwil, \(f_{\psi(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{8\ \Omega's})}(10)\)
Noninommwil, \(f_{\psi(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{9\ \Omega's})}(10)\)
Dekinommwil, \(f_{\psi(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{10\ \Omega's})}(10)\)
Hektinommwil, \(f_{\psi(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{100\ \Omega's})}(10)\)
Big hoss, \(\lbrace 100,100 \underbrace{///\cdots ///}_{100} 2\rbrace\)
Grand hoss, \(\lbrace 100,100 \underbrace{///\cdots ///}_{100} 100\rbrace\)
Kilinommwil, \(f_{\psi(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{1000\ \Omega's})}(10)\)
Meginommwil, \(f_{\psi(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{10^6\ \Omega's})}(10)\)

\(>f_{\psi(\psi_I(0))}(10^6)\)

Giginommwil, \(f_{\psi(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{10^9\ \Omega's})}(10)\)
Terinommwil, \(f_{\psi(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{10^{12}\ \Omega's})}(10)\)
Petinommwil, \(f_{\psi(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{10^{15}\ \Omega's})}(10)\)
Exinommwil, \(f_{\psi(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{10^{18}\ \Omega's})}(10)\)
Zettinommwil, \(f_{\psi(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{10^{21}\ \Omega's})}(10)\)
Yottinommwil, \(f_{\psi(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{10^{24}\ \Omega's})}(10)\)
Great big hoss, \(\lbrace \text{big hoss},\text{big hoss} \underbrace{///\cdots ///}_{\text{big hoss}} 2\rbrace\)
Unimah, \(f_{\psi(I)}(10)\)
Bitetrotos, \(f_{\psi(I^I)}(10)\)
Bukuwaha, {L,100¹⁰⁰}_100,100
Tritetrotos, \(f_{\psi(I^{I^I})}(10)\)
Quadritetrotos, \(f_{\psi(I^{I^{I^I}})}(10)\)
Quintitetrotos, \(f_{\psi(I^{I^{I^{I^I}}})}(10)\)
Sextitetrotos, \(f_{\psi(I\uparrow\uparrow6)}(10)\)
Septitetrotos, \(f_{\psi(I\uparrow\uparrow7)}(10)\)
Octitetrotos, \(f_{\psi(I\uparrow\uparrow8)}(10)\)
Nonitetrotos, \(f_{\psi(I\uparrow\uparrow9)}(10)\)
Dekotetrotos, \(f_{\psi(I\uparrow\uparrow10)}(10)\)
Hektotetrotos, \(f_{\psi(I\uparrow\uparrow100)}(10)\)
Kilotetrotos, \(f_{\psi(I\uparrow\uparrow1000)}(10)\)
Megotetrotos, \(f_{\psi(I\uparrow\uparrow10^6)}(10)\)
Gigotetrotos, \(f_{\psi(I\uparrow\uparrow10^9)}(10)\)
Terotetrotos, \(f_{\psi(I\uparrow\uparrow10^{12})}(10)\)
Petotetrotos, \(f_{\psi(I\uparrow\uparrow10^{15})}(10)\)
Exotetrotos, \(f_{\psi(I\uparrow\uparrow10^{18})}(10)\)
Zettotetrotos, \(f_{\psi(I\uparrow\uparrow10^{21})}(10)\)
Yottotetrotos, \(f_{\psi(I\uparrow\uparrow10^{24})}(10)\)
BIGG, 200? = 200![[_{<1(200)2>⁅200⁆}1]]
Uninotos, \(f_{\psi(I_I)}(10)\)
Binotos, \(f_{\psi(I_{I_I})}(10)\)
Trinotos, \(f_{\psi(I_{I_{I_I}})}(10)\)
Sextinotos, \(f_{\psi(\underbrace{I_{I_{\cdots_I}}}_{7\ I's})}(10)\)
Bimah, \(f_{\psi(I(2,0))}(10)\)
Dekinotos, \(f_{\psi(\underbrace{I_{I_{\cdots_I}}}_{11\ I's})}(10)\)
Zettinotos, \(f_{\psi(\underbrace{I_{I_{\cdots_I}}}_{10^{21}+1\ I's})}(10)\)
Yottinotos, \(f_{\psi(\underbrace{I_{I_{\cdots_I}}}_{10^{24}+1\ I's})}(10)\)
Trimah, \(f_{\psi(I(3,0))}(10)\)
Quadrimah, \(f_{\psi(I(4,0))}(10)\)
Quintimah, \(f_{\psi(I(5,0))}(10)\)
Sextimah, \(f_{\psi(I(6,0))}(10)\)
Septimah, \(f_{\psi(I(7,0))}(10)\)
Octimah, \(f_{\psi(I(8,0))}(10)\)
Nonimah, \(f_{\psi(I(9,0))}(10)\)
Dekimah, \(f_{\psi(I(10,0))}(10)\)
Hektimah, \(f_{\psi(I(100,0))}(10)\)
Kilimah, \(f_{\psi(I(1000,0))}(10)\)
Megimah, \(f_{\psi(I(10^6,0))}(10)\)
Gigimah, \(f_{\psi(I(10^9,0))}(10)\)
Terimah, \(f_{\psi(I(10^{12},0))}(10)\)
Petimah, \(f_{\psi(I(10^{15},0))}(10)\)
Eximah, \(f_{\psi(I(10^{18},0))}(10)\)
Zettimah, \(f_{\psi(I(10^{21},0))}(10)\)
Yottimah, \(f_{\psi(I(10^{24},0))}(10)\)
Uninimah, \(f_{\psi(I(I(0,0),0))}(10)\)
Trinimah, \(f_{\psi(I(I(I(I(0,0),0),0),0))}(10)\)
Terinimah, \(f_{\psi(\underbrace{I(I(\cdots I(0,0)\cdots,0),0)}_{10^{12}+1\ I's})}(10)\)
Zettinimah, \(f_{\psi(\underbrace{I(I(\cdots I(0,0)\cdots,0),0)}_{10^{21}+1\ I's})}(10)\)
Yottinimah, \(f_{\psi(\underbrace{I(I(\cdots I(0,0)\cdots,0),0)}_{10^{24}+1\ I's})}(10)\)
Tritetremar, \(f_{\psi(M^{M^M})}(10)\)
Sextitetremar, \(f_{\psi(M\uparrow\uparrow6)}(10)\)
Terotetremar, \(f_{\psi(M\uparrow\uparrow10^{12})}(10)\)
Petotetremar, \(f_{\psi(M\uparrow\uparrow10^{15})}(10)\)
Exotetremar, \(f_{\psi(M\uparrow\uparrow10^{18})}(10)\)
Zettotetremar, \(f_{\psi(M\uparrow\uparrow10^{21})}(10)\)
Yottotetremar, \(f_{\psi(M\uparrow\uparrow10^{24})}(10)\)
Uninemar, \(f_{\psi(M_M)}(10)\)
Trinemar, \(f_{\psi(M_{M_{M_M}})}(10)\)
Sextinemar, \(f_{\psi(\underbrace{M_{M_{\cdots_M}}}_{7\ M's})}(10)\)
Zettinemar, \(f_{\psi(\underbrace{M_{M_{\cdots_M}}}_{10^{21}+1\ M's})}(10)\)
Yottinemar, \(f_{\psi(\underbrace{M_{M_{\cdots_M}}}_{10^{24}+1\ M's})}(10)\)
Uninamus, \(f_{\psi(M(M(0;0);0))}(10)\)
Zettinamus, \(f_{\psi(\underbrace{M(M(\cdots M(0;0)\cdots;0);0)}_{10^{21}+1\ M's})}(10)\)
Yottinamus, \(f_{\psi(\underbrace{M(M(\cdots M(0;0)\cdots;0);0)}_{10^{24}+1\ M's})}(10)\)
Goshomity, \(\lbrace L2,100\rbrace_{100,100} = \lbrace 100,100 \underbrace{\backslash\backslash\backslash\cdots\backslash\backslash\backslash}_{100} 2\rbrace\)
Good goshomity, \(\{100,100 \underbrace{\backslash\backslash\backslash\backslash\ldots\backslash\backslash\backslash\backslash}_{\text{Goshomity}} 2\}\)
Big Bukuwaha, \(\lbrace L2,X\rbrace_{100,100}\), where X is a Bukuwaha array.
Bongo Bukuwaha, \(\lbrace L3,X\rbrace_{100,100}\), where X is a Big Bukuwaha array.
Quabinga Bukuwaha, \( \lbrace L4,X\rbrace_{100,100}\), where X is a Bongo Bukuwaha array.
Meameamealokkapoowa, \(\{\text{L}100,10\}_{10,10}\)
Meameamealokkapoowa-arrowa, \(\{\text{meameamealokkapoowa},2,1,2\}\)
Aarex's meameamealokkapoowa-oompa, \(\{LLL \ldots LLL,10\}_{10,10}\) where there are meameamealokkapoowa L's
Meameamealokkapoowa oompa, \(\{LLL \ldots A \ldots LLL,10\}_{10,10}\), A is a meameamealokkapoowa array of L's
Tritar, Tar(3)
Quadritar, Tar(4)
Quintitar, Tar(5)
Sextitar, Tar(6)
Septitar, Tar(7)
Octitar, Tar(8)
Nonitar, Tar(9)
Dekotar, Tar(10)
Hektotar, Tar(100)
Kilotar, Tar(1000)
Megotar, Tar(10⁶)
Gigotar, Tar(10⁹)
Terotar, Tar(10¹²)
Petotar, Tar(10¹⁵)
Exotar, Tar(10¹⁸)
Zettotar, Tar(10²¹)
Yottotar, Tar(10²⁴)
Unintar, Tar(Dekotar) = Tar(Tar)
Bintar, Tar(Tar(Dekotar)) = Tar(Tar(Tar))
Trintar, Tar(Tar(Tar(Tar)))
Quadrintar, Tar⁴(Tar)
Quintintar, Tar⁵(Tar)
Sextintar, Tar⁶(Tar)
Septintar, Tar⁷(Tar)
Octintar, Tar⁸(Tar)
Nonintar, Tar⁹(Tar)
Dekintar, Tar¹⁰(Tar)
Hektintar, Tar¹⁰⁰(Tar)
Kilintar, Tar¹⁰⁰⁰(Tar)
Megintar, Tar^10⁶(Tar)
Gigintar, Tar^10⁹(Tar)
Terintar, Tar^10¹²(Tar)
Petintar, Tar^10¹⁵(Tar)
Exintar, Tar^10¹⁸(Tar)
Zettintar, Tar^10²¹(Tar)
Yottintar, Tar^10²⁴(Tar)
Tarintar, Tar^Tar(Tar)
Loader's number (output of loader.c), \(D^5(99)\)
Bashicu matrix number with respect to Bashicu matrix system version 2.3
６ (N primitive)
Y sequence number, f²⁰⁰⁰(1)
the least transcendental integer
Yudkowsky's number

Larger numbers

FANDOM

\(f_{\psi(\varepsilon_{\Omega+1})}(10^6)\) ~ \(f_{\psi(\Omega_\omega)}(10^{10^6})\)

\(f_{\psi(\Omega_\omega)}(10^{10^6})\) ~ \(f_{\psi(\psi_I(0))}(10^6)\)

\(>f_{\psi(\psi_I(0))}(10^6)\)