n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 349: | \[349!!!!!+1\] | 283 × 30189751146209156837<20> × 438535747658243999601421<24> × 922255277539065794370612813376594295246271062561<48> × 10770833396265277659940406138097698178421619849582371027<56> |