n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
350: | \[350!!!!!-1\] | 269 × 3206218386481017912041<22> × 117641338964026855278994542255747733522568373558131144345839825280093515818918749743545396878839428645093181547701035131116931<126> |