n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
320: | \[320!!!!!-1\] | 419 × 310568347 × 179288050993<12> × 25604062000363727<17> × 115150477990169548494944334920411544361125931532882425569252815511451556741747592894686951068913<96> |