n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
314: | \[314!!!!!+1\] | 5 × 16103482180267204272762901051043366280919113557171537727058746201709834568291243069239637294734650935510259104620060999518415277261<131> |