List of googolisms/Epsilon level

Smaller numbers

Pentational array level

 * Fish number 5, \(\approx f_{\varepsilon_0+1}(63)\)
 * Grantethrathoth, \(E100\#\text{^^}\#100\#100\)
 * Greatethrathoth, \(E100\#\text{^^}\#100\#100\#100\)
 * Gigantethrathoth, \(E100\#\text{^^}\#100\#100\#100\#100\)
 * Gorgetethrathoth, \(E100\#\text{^^}\#100\#100\#100\#100\#100\)
 * Gultethrathoth, \(E100\#\text{^^}\#100\#100\#100\#100\#100\#100\)
 * Gasptethrathoth, \(E100\#\text{^^}\#100\#100\#100\#100\#100\#100\#100\)
 * Ginortethrathoth, \(E100\#\text{^^}\#100\#100\#100\#100\#100\#100\#100\#100\)
 * Gugoltethrathoth, \(E100\#\text{^^}\#\text{^}\#100\#\#100\)
 * Greetagoltethrathoth, \(E100\#\text{^^}\#\text{^}\#100\#\#100\#100\)
 * Throotethrathoth, \(E100\#\text{^^}\#\text{^}\#100\#\#\#100\)
 * Tethratrithoth, \(E100\#\text{^^}\#100\#\text{^^}\#100\)
 * Tethraterthoth, \(E100\#\text{^^}\#100\#\text{^^}\#100\#\text{^^}\#100\)
 * Tethrapethoth, \(E100\#\text{^^}\#100\#\text{^^}\#100\#\text{^^}\#100\#\text{^^}\#100\)
 * Tethra-exthoth, \(E100\#\text{^^}\#*\#6\)
 * Tethra-epthoth, \(E100\#\text{^^}\#*\#7\)
 * Tethra-octhoth, \(E100\#\text{^^}\#*\#8\)
 * Deutero-tethrathoth, \(E100\#\text{^^}\#*\#\text{^^}\#100\)
 * Trito-tethrathoth, \(E100\#\text{^^}\#*\#\text{^^}\#*\#\text{^^}\#100\)
 * Teterto-tethrathoth, \(E100\#\text{^^}\#*\#\text{^^}\#*\#\text{^^}\#*\#\text{^^}\#100\)
 * Hecato-tethrathoth, \(E100(\#\text{^^}\#)\text^\#100\)
 * Grand hecato-tethrathoth, \(E100(\#\text{^^}\#)\text^\#100\#2\)
 * Monster-Giant, \(E100(\#\text{^^}\#)\text^(\#\text{^^}\#)\text^\#100\)
 * Super Monster-Giant, \(E100(\#\text{^^}\#)\text^(\#\text{^^}\#)\text^(\#\text{^^}\#)\text^\#100\)
 * Terrible tethrathoth, \(E100(\#\text{^^}\#)\text{^^}\#100\)
 * Deutero-terrible tethrathoth, \(E100(\#\text{^^}\#)\text{^^}\#*(\#\text{^^}\#)\text{^^}\#100\)
 * Trito-terrible tethrathoth, \(E100(\#\text{^^}\#)\text{^^}\#*(\#\text{^^}\#)\text{^^}\#*(\#\text{^^}\#)\text{^^}\#100\)
 * Hecato-terrible tethrathoth, \(E100((\#\text{^^}\#)\text{^^}\#)\text^\#100\)
 * Terrible terrible tethrathoth, \(E100((\#\text{^^}\#)\text{^^}\#)\text{^^}\#100\)
 * Tethrathoth ba'al
 * Great and Terrible Tethrathoth
 * Bird's number
 * Triakulus, \(\{3,3,3\} \& 3\)
 * Kungulus, \(\{10,100,3\} \& 10\)
 * Kungulusplex, \(\{10,\text{kungulus},3\} \& 10\)

Higher non-legion array level

 * 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, \(\{10,100\} \& 10 \& 10 \& 10\)

Larger numbers