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

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List of numbers of the regiment Edit

Name of number Hyper-E Notation (exact equality) Fast-growing hierarchy (approximation)
gargantuuld E100##100#100#100#100#100#100#100#100#100 \(f_{\omega+8}(100)\)
gargantuulda-suennex E100##100#100#100#100#100#100#100#100#100#2 \(f_{\omega+8}^2(100)\)
gargantuulda-dusuennex E100##100#100#100#100#100#100#100#100#100#3 \(f_{\omega+8}^3(100)\)
gargantuuldachime E1000##1000#1000#1000#1000#1000#1000#1000#1000#1000 \(f_{\omega+8}(1000)\)
gargantuulda-suennexichime E1000##1000#1000#1000#1000#1000#1000#1000#1000#1000#2 \(f_{\omega+8}^2(1000)\)
gargantuulda-dusuennexichime E1000##1000#1000#1000#1000#1000#1000#1000#1000#1000#3 \(f_{\omega+8}^3(1000)\)
gargantuuldatoll E10,000##10,000#10,000#10,000#10,000#

10,000#10,000#10,000#10,000#10,000

\(f_{\omega+8}(10000)\)
gargantuulda-suennexitoll E10,000##10,000#10,000#10,000#10,000#

10,000#10,000#10,000#10,000#10,000#2

\(f_{\omega+8}^2(10000)\)
gargantuulda-dusuennexitoll E10,000##10,000#10,000#10,000#10,000#

10,000#10,000#10,000#10,000#10,000#3

\(f_{\omega+8}^3(10000)\)
gargantuuldagong E100,000##100,000#100,000#100,000#100,000#

100,000#100,000#100,000#100,000#100,000

\(f_{\omega+8}(100000)\)
gargantuulda-suennexigong E100,000##100,000#100,000#100,000#100,000#

100,000#100,000#100,000#100,000#100,000#2

\(f_{\omega+8}^2(100000)\)
gargantuulda-dusuennexigong E100,000##100,000#100,000#100,000#100,000#

100,000#100,000#100,000#100,000#100,000#3

\(f_{\omega+8}^3(100000)\)

Sources Edit

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

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