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The triantaelgathor is equal to E100(#^#^#^30)100 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Etymology

The name of this number is based on the prefix "trianta-" and the number "godgathor".

Approximations in other notations

Notation Approximation
BEAF \(\{100,30 ((1)1) 2\}\)
Bird's array notation \(\{100,30 [1[2]2] 2\}\)
Hyperfactorial array notation \(100![1,[1,[1,1,31],1,2],1,3]\)
Fast-growing hierarchy \(f_{\omega^{\omega^{\omega^{30}}}}(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{\omega^{30}}}}}(100)\)
Slow-growing hierarchy \(g_{\theta(\Omega^{\Omega^{(\Omega^{29})\omega}})}(100)\)

Sources

  1. Saibian, Sbiis. 4.3.5 Cascading-E NumbersOne to Infinity. Retrieved 2016-09-09.
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