n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 276: | \[276!!!+1\] | 2243 × 2297 × 31419907 × [6035667125320493521095353056645238068609202332535810936495811370067628551214902653530547771822665639293104385084645822820873422749487753918615456112097865530169822970162433<172>] |