n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
259: | \[259!!!!+1\] | 22 × 89 × 294202644598698511037<21> × 30760642811997876554213165787102462025928028350570941614733482631950573340970236950330442026232774762611133<107> |