n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
337: | \[337!!!!+1\] | 2 × 1187 × 97677871 × 246765486126291263<18> × 72513038884903732988144090178683490828936171396692874776980149950584997627733282216688441979233454136458433957753000560560478305892015398553471982863<149> |