n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 350: | \[350!!!!!+1\] | 71 × 6529 × 56587305967<11> × 8752129761861923<16> × [441944318896919788756967721264992466906296873470869892825902974160605721855184068055327711203974350961026524499904179<117>] |