Godhexadekathol is equal to E100#^^#17 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian.


Notation Approximation
BEAF X↑↑16 & 100
Fast-growing hierarchy \(f_{\omega↑↑16}(100)\)
Fast-growing hierarchy (using Veblen function) \(f_{\varphi_0^{17}(1)}(100)\)
Hardy hierarchy \(H_{\omega↑↑17}(100)\)
Hardy hierarchy (using Veblen function) \(H_{\varphi_0^{18}(1)}(100)\)
Slow-growing hierarchy \(g_{\theta(\Omega↑↑17)}(100)\)


  1. Saibian, Sbiis. 4.3.5 Cascading-E NumbersOne to Infinity

See also

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