n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
318: | \[318!!!!+1\] | 206727066707522814950971<24> × 31866265908779888081777360001721300148172478877614221299350742691967700172846457869982537391783234795026265522873470133157579106341087477426931<143> |