n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
347: | \[347!!!!!+1\] | 52 × 1723595945478571<16> × 142878834680294052588569<24> × 579649559180014184820987985056649336411638150194049008249427265234965350519888423659962830481898858993717427<108> |