n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
346: | \[346!!!!-1\] | 211 × 673 × 1063 × 1747 × 256687 × 542857688314897<15> × 82959809386440353163640185558083249360557398445396380626631071199020995379744772155134691671369254325545193820071297979422105015376789079679967554739327<152> |