n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
346: | \[346!!!!!-1\] | 52 × 38122391 × 7844831862042577<16> × 98658288310922502738715607233828864685031847513854664313750740497793201771551942766882393150225181762681264355091179714289<122> |