n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
268: | \[268!!!!!+1\] | 5 × 69467183 × 8163427805546876970769<22> × 2502707695842284404338618251<28> × 245353985598231607948903861243471722816518222891801<51> |