n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
283: | \[283!!!!-1\] | 2 × 443 × 5003 × 5741 × 84079067217302571773<20> × 622174136653639071899651465253058193352404856104918719680780629121107660148421589473544624162653311521054247908071<114> |