n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
273: | \[273!!!!-1\] | 23 × 442733 × 1079843437 × 5659177361<10> × 31695071951148839469836400975129443615944344891814830623198858163751525899245142660535389487016450282598534441763<113> |