n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
334: | \[334!!!!!-1\] | 3825691 × 239033059430473065719285844465434599181594451874131297351627426544087141004078836666564002298213133585027501163999212242275756910413293<135> |