n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
251: | \[251!!!!-1\] | 2 × 1947214739 × 1862657816002504511<19> × 6724733988546770972618891243224351424094026835976208893101300819905897193943541931741778215554203<97> |