n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
189: | \[189!!!-1\] | 127 × 10340733127<11> × 71817669193<11> × 7455496402381<13> × 39840244034444242561<20> × 13782375111642494046229224071<29> × 5877152944322861297635613864935597<34> |