n!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
111: | \[111!!+1\] | 2 × 2081 × 440009 × 26841949 × 322456421496641<15> × 1681564666521614873<19> × 6849851178539977691<19> × 21108954766788945605431<23> |