n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 514: | \[514!!!!!+1\] | 5 × 311 × 67211 × 16520433248113451<17> × 19210451699783963844665919429592788325321554742475602700334385294197899950684971536294747852153925673986885275091422499081578761806130206962157374324402518405961995062817356108738753922137215172227813476208368531<212> |