The grangol-carta-tethriterator is equal to E100#^^#>#100#100 using Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.


The name of this number is based on the numbers "grangol" and "tethriterator" and the -carta- infix, which joins two ExE expressions.

Approximations in other notations

Notation Approximation
BEAF ???
Bird's array notation \(\{100,100,2 [1 \backslash 1,2] 2\}\)
X-Sequence Hyper-Exponential Notation \(100\{(X>X)+1\}100\)
Fast-growing hierarchy \(f_{\varepsilon_\omega+1}(100)\)
Hardy hierarchy \(H_{\varepsilon_\omega \omega}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\varepsilon_{\Omega^2})}(100)\)


  1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2017-02-19.