20,523
pages

View full site to see MathJax equation

The grangoldudexigong is equal to E100,000#100,000#3 = E100,000#(E100,000#100,000#2) = EE...EE100,000 (grangoldexigong E's) = 101010...1010100,000 (grangoldexigong 10's), using Hyper-E Notation.[1] The term was coined by Sbiis Saibian.

### Etymology

The 3 parts of the name, "grangol", "dudex" and "gong" means E100#100, En#n#3 and multiplies its base value by 1,000 which formed E100,000#100,000#3 when concentrated from left to right. So the full name indicates how the number is constructed.

### Approximations in other notations

Notation Approximation
Arrow notation $$100 \uparrow\uparrow (10 \uparrow\uparrow (10 \uparrow\uparrow 100,000))$$
Chained arrow notation $$100 \rightarrow (10 \rightarrow (10 \rightarrow 100,000 \rightarrow 2) \rightarrow 2) \rightarrow 2$$
Hyperfactorial array notation $$((100,002!1)!1)!1$$
Fast-growing hierarchy $$f_3(f_3(f_3(f_2(13))))$$
Hardy hierarchy $$H_{(\omega^3) 3+\omega^{2}}(13)$$
Slow-growing hierarchy $$g_{\varepsilon_{\varepsilon_{\varepsilon_0}}}(100,000)$$

### Sources

1. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2015-03-11.