n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 467: | \[467!!!!!+1\] | 5 × 1031 × 14402885281<11> × 28161183908407914053<20> × 774110636183290953091625180368290869467629933016422889745546330453065736194802832754774689627130536532740262411348428818952485445591117708612420985852229666263242321318416572463<177> |