n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 309: | \[309!!!!+1\] | 2 × 19526111837874163<17> × 953129440476499100014689949<27> × 257125928490404703721387681710749<33> × 7374597164665075979808631896261397<34> × 153827353977481536512900871920631595224324891770233<51> |