n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
438: | \[438!!!!!-1\] | 5 × 227 × 3719160803977<13> × 4318306471032621196091<22> × 1530473125948714763034801709<28> × 24029671862721817683113416889517856144062660378369029122102718966938377130958042848927336195176013969258850990758537970392419745783<131> |