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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 made from Bachmann's ordinal collapsing function and reasonably small values of n.

The lower bound of this category is $$f_{\varphi(1,0,0)}^2(10)$$ or $$f_{\Gamma_0}^2(10)$$, and the upper bound is $$f_{\psi_0(\varepsilon_{\Omega+1})}^2(10) = f_{\psi_0(\Omega_2)}^2(10)$$ with respect to the Buchholz's function.

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