n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
169: | \[169!!!-1\] | 33 × 131 × 311 × 75773 × 33868463 × 100215527362493<15> × 2357174591154077<16> × 2400101158834429846440267580595422770058179500727706363<55> |