List of googolisms

This is a list of googologisms in ascending order.

Class 2 \((1000000 - 10^{1000000})\)
More...

Exponentiation level
More...

Tetration level
More...

Up-arrow notation level

 * Megistron, 10 in a pentagon (or circle) \(\approx 10 \uparrow\uparrow\uparrow 11\)
 * Gaggol, \(\lbrace10,100,3 \rbrace = 10 \uparrow\uparrow\uparrow 100\)
 * Greagol, \(E100\#100\#100\)
 * Greagolgong, \(E100000\#100000\#100000\)
 * Googol-3-flex, \(10\uparrow\uparrow\uparrow(10^{100})\)
 * Ecetonthrex, \(E303\#1\#1\#2\)


 * A-ooga, 2 in a hexagon
 * Gaggolplex, \(\lbrace 10,gaggol,3\rbrace\)
 * Greagolthrex, \(E100\#100\#100\#2\)
 * Greagolthrexigong, \(E100000\#100000\#100000\#2\)
 * Ecetonduthrex, \(E303\#1\#1\#3\)


 * Tritet, \(\lbrace 4,4,4\rbrace = 4\uparrow\uparrow\uparrow\uparrow 4\)
 * Greagolduthrex, \(E100\#100\#100\#3\)
 * Greagolduthrexigong, \(E100000\#100000\#100000\#3\)
 * Geegol, \(\lbrace 10,100,4 \rbrace\) = \(10\uparrow\uparrow\uparrow\uparrow100\)
 * Gigangol, \(E100\#100\#100\#100\)
 * Geegolplex, \(\lbrace 10,geegol,4\rbrace\)


 * Tripent, \(\lbrace 5,5,5 \rbrace = 5\uparrow\uparrow\uparrow\uparrow\uparrow5\)
 * Gigol, \(\lbrace 10,100,5 \rbrace = 10 \uparrow\uparrow\uparrow\uparrow\uparrow 100\)
 * Gorgegol, \(E100\#100\#100\#100\#100\)
 * Gigolplex, \(\lbrace 10,gigol,5 \rbrace\)


 * Goggol, \(\lbrace10,100,6\rbrace= 10 \uparrow\uparrow\uparrow\uparrow\uparrow\uparrow 100\)
 * Gulgol, \(E100\#100\#100\#100\#100\#100\)
 * Goggolplex, \(\lbrace 10,goggol,6 \rbrace\)


 * Trisept, \(\lbrace 7,7,7\rbrace = 7 \uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow 7\)
 * Gagol, \(\lbrace 10,100,7 \rbrace = 10 \uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow100\)
 * Gaspgol, \(E100\#100\#100\#100\#100\#100\#100\)
 * Gagolplex, \(\lbrace10,gagol,7 \rbrace\)
 * Ginorgol, \(E100\#100\#100\#100\#100\#100\#100\#100\)


 * Tridecal, \(\lbrace10,10,10 \rbrace\)
 * Boogol, \(\lbrace 10,10,100 \rbrace\)
 * Gugold, \(E100\#\#100\)
 * Gugoldagong, \(E100000\#\#100000\)

More...

5-6 entry linear array notation level
More...

7+ entry linear array notation level
More...

Two row array notation level
More...

Planar array notation level
More...

Higher dimensional array notation level
More...

Higher array notation level

 * Dulatri, {3,3 (0,2) 2}
 * Gingulus, {10,100 (0,2) 2}
 * Trilatri, {3,3 (0,3) 2}
 * Gangulus, {10,100 (0,3) 2}
 * Geengulus, {10,100 (0,4) 2}
 * Gowngulus, {10,100 (0,5) 2}
 * Gungulus, {10,100 (0,6) 2}
 * Bongulus, {10,100 (0,0,1) 2}
 * Bingulus, {10,100 (0,0,2) 2}
 * Bangulus, {10,100 (0,0,3) 2}
 * Beengulus, {10,100 (0,0,4) 2}
 * Trimentri, {3,3 (0,0,0,1) 2} = {3,3 ((1)1) 2}
 * Trongulus, {10,100 (0,0,0,1) 2}
 * Quadrongulus, {10,100 (0,0,0,0,1) 2}
 * Goplexulus, \(\lbrace10,100 (\underbrace{0,0,\ldots ,0,0,}_{100 \text{ zeroes}}1) 2\rbrace\) = {10,100 ((1)1) 2}
 * Goduplexulus, {10,100 ((100)1) 2}
 * Gotriplexulus, \(\lbrace 10,100 ((\underbrace{0,0,\ldots ,0,0,}_{100 \text{ zeroes}}1)1) 2\rbrace\) = {10,100 (((1)1)1) 2}
 * Goppatoth, 10↑↑100 &amp; 10
 * Goppatothplex, 10↑↑(goppatoth) & 10
 * Bird's number
 * Triakulus, {3,3,3} & 3
 * Kungulus, {10,100,3} & 10
 * Kungulusplex, {10,kungulus,3} & 10
 * Quadrunculus, {10,100,4} & 10
 * Tridecatrix, {10,10,10} & 10
 * Humongulus, {10,10,100} & 10
 * TREE(3) (lower bound)
 * Golapulus, {10,100} & 10 & 10
 * Golapulusplex, {10,100} & 10 & 10 & 10

Legiattic array notation level

 * Big boowa, {3,3,3 / 2}
 * Great big boowa, {3,3,4 / 2}
 * Grand boowa, {3,3,big boowa / 2}
 * Super gongulus, {10,10 (100) 2 / 2}
 * Wompogulus, {10,10 (10) 2 / 100}
 * Guapamonga
 * Guapamongaplex
 * Big hoss, {L,100}100,100 = {100,100 ////...100 /'s...//// 2} = {100,100 (1)/ 2}
 * Grand hoss, {100,100 ////...100 /'s...//// 100}
 * Great big hoss, {big hoss, big hoss //////...big hoss /'s...////// 2} = {big hoss,big hoss (1)/ 2}
 * Bukuwaha, \(\{100,100\ {100^{100}}\ 2\}\)

Beyond legiattic arrays notation level

 * Goshomity, \(\lbrace L2,100\rbrace_{100,100}\)
 * Good goshomity, \(\lbrace L2,\text{goshomity}\rbrace_{\text{goshomity,goshomity}}\)
 * Big Bukuwaha, \(\{100,100\ \text{Bukuwaha}\ 2\}\)
 * Bongo Bukuwaha, \(\{100,100\ \text{Big Bukuwaha}\ 2\}\)
 * Quabinga Bukuwaha, \(\{100,100\ \text{Bongo Bukuwaha}\ 2\}\)
 * Meameamealokkapoowa, \(\{\text{L}100,10\}_{10,10}\)
 * Meameamealokkapoowa oompa, \(\{LLL \ldots A \ldots LLL,10\}_{10,10}\)
 * SCG(13)
 * Loader's number

Uncomputable numbers

 * \(\Xi(10^6)\)
 * Rayo's number