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

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## List of numbers of the regiment

Name of number Extended Hyper-E Notation (definition) Fast-growing hierarchy (approximation) Pronunciation
gruelohgold E100##100#100#100#100#100#100 $$f_{\omega+5}(100)$$
gruelohgolda-suhex E100##100#100#100#100#100#100#2 $$f_{\omega+5}^2(100)$$
gruelohgolda-dusuhex E100##100#100#100#100#100#100#3 $$f_{\omega+5}^3(100)$$
gruelohgoldachime E1000##1000#1000#1000#1000#1000#1000 $$f_{\omega+5}(1000)$$
gruelohgolda-suhexichime E1000##1000#1000#1000#1000#1000#1000#2 $$f_{\omega+5}^2(1000)$$
gruelohgolda-dusuhexichime E1000##1000#1000#1000#1000#1000#1000#3 $$f_{\omega+5}^3(1000)$$
gruelohgoldatoll E10,000##10,000#10,000#10,000#10,000#10,000#10,000 $$f_{\omega+5}(10000)$$
gruelohgolda-suhexitoll E10,000##10,000#10,000#10,000#10,000#10,000#10,000#2 $$f_{\omega+5}^2(10000)$$
gruelohgolda-dusuhexitoll E10,000##10,000#10,000#10,000#10,000#10,000#10,000#3 $$f_{\omega+5}^3(10000)$$
gruelohgoldagong E100,000##100,000#100,000#100,000#100,000#100,000#100,000 $$f_{\omega+5}(100000)$$
gruelohgolda-suhexigong E100,000##100,000#100,000#100,000#100,000#100,000#100,000#2 $$f_{\omega+5}^2(100000)$$
gruelohgolda-dusuhexigong E100,000##100,000#100,000#100,000#100,000#100,000#100,000#3 $$f_{\omega+5}^3(100000)$$