n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 268: | \[268!!!+1\] | 6818309021<10> × 26822775751<11> × 571011887589631<15> × 186504108363687461003<21> × [12359678651001525163289464514895698758870353237636193580724710352643892704349876567326344216651904240537546655478807919146167<125>] |