n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 279: | \[279!!!!!+1\] | 227 × 4483 × 1150710391095623738456567459679920197646991443647<49> × 323096875204012518778185729099335086356122490770014000988711<60> |