n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
355: | \[355!!!!!-1\] | 97 × 167 × 68604945860974729<17> × 41018912585954254711<20> × 472983058340946941077046899310576073649632441539<48> × 1670553285109872873489739941163141064401745803623978363369794861<64> |