n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
220: | \[220!!!!+1\] | 2131 × 857280661 × 27941000309<11> × 5806747514093<13> × 55603082034771825997970197177658618821477991385596092931611067718619903<71> |