n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
303: | \[303!!!!!+1\] | 404081 × 6579412676537044483<19> × 107172365498879080656260457329525998906253164134019346651373795175349563710119477101824208470098108123<102> |