n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
355: | \[355!!!!+1\] | 22 × 1973 × 983951 × 155608993147043873<18> × 1389149311329823812743339481472594556314051813814507109295316981369707807498793468347987099873356894355261492125490364776532813678330172248809259433054911231694311<163> |