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The graatagold regiment is a series of numbers from E100##100#100 to E10,000##10,000#10,000#3 defined using Extended Hyper-E Notation (i.e. beginning from graatagold and up to graatagolda-dusudexitoll)..[1][2] The numbers were coined by Sbiis Saibian.

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Gugold regiment Greegold regiment

## List of numbers of the regiment Edit

Name of number Extended Hyper-E Notation (definition) Fast-growing hierarchy (approximation)
graatagold E100##100#100 $$f_{\omega+1}(100)$$
graatagolda-sudex E100##100#100#2

= E100##100#graatagold

$$f_{\omega+1}^2(100)$$
graatagolda-dusudex E100##100#100#3

= E100##100#graatagolda-sudex

$$f_{\omega+1}^3(100)$$
graatagoldachime E1000##1000#1000 $$f_{\omega+1}(1000)$$
graatagolda-sudexichime E1000##1000#1000#2 $$f_{\omega+1}^2(1000)$$
graatagolda-dusudexichime E1000##1000#1000#3 $$f_{\omega+1}^3(1000)$$
graatagoldatoll E10,000##10,000#10,000 $$f_{\omega+1}(10000)$$
graatagolda-sudexitoll E10,000##10,000#10,000#2 $$f_{\omega+1}^2(10000)$$
graatagolda-dusudexitoll E10,000##10,000#10,000#3 $$f_{\omega+1}^3(10000)$$
graatagoldagong E100,000##100,000#100,000 $$f_{\omega+1}(100000)$$
graatagolda-sudexigong E100,000##100,000#100,000#2 $$f_{\omega+1}^2(100000)$$
graatagolda-dusudexigong E100,000##100,000#100,000#3 $$f_{\omega+1}^3(100000)$$

## Sources Edit

1. Saibian, Sbiis. Extended Hyper-E Numbers. Retrieved 2017-09-11.
2. Sbiis Saibian's Ultimate Large Numbers List - Part I