E. M. G. S. N. T. A. G. U. O. M. S. E. M. G. Tritri

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E. M. G. S. N. T. A. G. U. O. M. S. E. M. G. Tritri is equal to 3 [3 {3 \^(3 \^(3 \^(3 \^(3, 3) 3) 3) 3) 3} 3] 3 in DeepLineMadom's Array Notation. The term was coined by googology user HaydenTheGoogologist2009.^[1]

Approximations[]

Here is the creator's expectation. Since nobody has ever given evidences of the expectation and there are few googolisms at this level, the approximation is not so reliable, though, the googolism is clearly greater than any googolisms with the fast-growing hierarchy ordinal level of the countable limit of Extended Buchholz's function (\(> f_{\psi_0(\Lambda)}(n)\), where \(\Lambda\) denotes the least omega fixed point) according to the creator. It is believed to be the largest googolism using DeepLineMadom's Array Notation, with the FGH ordinal level given according to the creator.

Notation	Approximation
Fast-growing hierarchy (using this system of fundamental sequences)	\(f_{\psi(M_{M_{M_{M_{M_{\omega2+2}}}}})^{\omega^2}2+2}(3)\)

Sources[]

↑ Hayden's Big Numbers. Retrieved 2022-08-23.

See also[]

HaydenTheGoogologist2009's tritri numbers using DeepLineMadom's Array Notation

[1] Hayden's Big Numbers. Retrieved 2022-08-23.

[1]