n!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
112: | \[112!!+1\] | 229 × 419 × 498171088239053<15> × 1071816579544612302823826071194242185295546058519351033302020758769305067<73> |