n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
289: | \[289!!!!!-1\] | 5 × 191 × 1193 × 508580249 × 87746851580471<14> × 16045184500309399791870192085311907<35> × 38065365853009985188445940883618820225744190808456306921<56> |