n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
320: | \[320!!!!-1\] | 1187 × 56713 × 1376365603 × 16102653337<11> × 70107169718350593484956064037615235634354832507378536444127834992667854229935790486501821278197976979653246181431795075724976020550715563239<140> |