n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
217: | \[217!!!-1\] | 33 × 1561412579 × 2306538781 × 3237916391 × 20474956690054998008813065809354074697802139261346130542810288964953315796833539409642056508152649100787721293<110> |