n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
247: | \[247!!!!!+1\] | 53 × 116658955249<12> × 141693487062353<15> × 56231457130019410306796401494248107736802683917251113168488898210740117<71> |