n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
290: | \[290!!!!+1\] | 6783831713<10> × 1526705871998430354247<22> × 578294470511625395642963<24> × 4388727448548778619799019616554444878975911042806552209976904675033993908053747820679345091757<94> |