n!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
143: | \[143!!+1\] | 2 × 887 × 1690441310259571730738334484271<31> × 710270547664336820887328804447977<33> × 9011205367131142794977714773571365503193433255774791210697<58> |