n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
371: | \[371!!!!!+1\] | 607 × 2011 × 202613 × 4931195260469<13> × 3704558004776034996994715173732889725966049813341261423981705634449439821088460795557397443624743606629203857687987042264792853676294133<136> |