n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
199: | \[199!!!!-1\] | 22 × 1036518307269482916075739<25> × 2848382041475878783022000853757176474525447776385222716757305968216679<70> |