n!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
116: | \[116!!+1\] | 59 × 71 × 338424208225099<15> × 3842922401404810525409<22> × 124359205557645047839547947260935559505589101417997143199<57> |