n!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 240: | \[240!!+1\] | 18417061318001202361<20> × 194846698783744815642410540979613<33> × [2477878119627861404269235871804057541332812121598940961112556696765023333937600269799396131639451038496909781968795017869657844843989080242453568598479675975169652828906411337542344157<184>] |