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This category contains numbers that can be defined or estimated using fast-growing hierarchy in the form fα(n) with α in iterated Cantor normal form and reasonably small values of n, which is roughly equivalent to Jonathan Bowers' tetrational array.

The lower bound of this category is $$f_{\omega^{\omega^{\omega^{\omega^\omega}}}}(10^{10^6})$$, and the upper bound is $$f_{\varphi(1,0)}(10^6)$$.

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