n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
259: | \[259!!!!!+1\] | 25457898931921677931<20> × 2737536117727413813701578225333091022119651577007271875594423424585586370259631951427<85> |