User blog comment:Hyp cos/Googolisms hard to extend?/@comment-30279966-20200115055658

1) The smallest n so that \(\omega_1^\text{CK}[n] > \text{PTO(\text{ZFC})}\) under Kleene's O and ordering of TMs as given here.

2) The smallest n so that \(\text{Rayo}(n) > \Sigma(n)\).