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Pentacthulhufact is equal to E100(#^^^#)^#100 using Extended Cascading-E notation.[1] The term was coined by Sbiis Saibian.

It is also equal to E100#^^^#*#^^^#*#^^^#*#^^^#.........#^^^#*#^^^#*#^^^#100 with 100 copies of #^^^#s.

Approximations

Notation Approximation
Fast-growing hierarchy \(f_{\omega^{\omega^{\Gamma_0+1}}}(100)\)
\(=f_{\omega^{\omega^{\varphi(1,0,0)+1}}}(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{\Gamma_0+1}}}}(100)\)

Sources

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