n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
274: | \[274!!!!!+1\] | 52 × 1712203 × 2580280822188921444601<22> × 12277980763035270458381889345754238120589156491409500349803104057176355606530975091<83> |