n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
164: | \[164!!!+1\] | 3 × 281 × 2896139277815821<16> × 8145220044614642426759338795506737<34> × 21584700515158591595860417260125079436488644191<47> |