n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
421: | \[421!!!!!-1\] | 52 × 1305643 × 2261467218456466513<19> × 4845153495908683091<19> × 5043222836207308369<19> × 10991673374215354776451<23> × 22865575042399322439950092529597676538097027400111879661085108283484204986428574315541256056644670669<101> |