n!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
115: | \[115!!-1\] | 2 × 148667 × 1328782216073279801<19> × 262261820472999425389<21> × 483340272827324507318915754350356842113531576819599<51> |