n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
262: | \[262!!!!-1\] | 953 × 587341 × 240331877 × 1527107451212384449928336774127481863913282562174954048633134382299685495018377783782694312968535327550662760776919<115> |