n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
165: | \[165!!!+1\] | 3119 × 92353 × 1680344421861267931<19> × 251477761977103132120303<24> × 18196398654739357473539876086340112341841814068851<50> |