n!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
144: | \[144!!-1\] | 293 × 114915725561156735013836200542668389091<39> × 8588325279408999571079900077078813917328845720287536782275551361056582272984575000273<85> |