n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
408: | \[408!!!!!-1\] | 577 × 7159 × 12511 × 22247 × 98370232091173777263008059068693245072851772873850116699058599226473670294157256945803004646710679543003705428596145728592883801554578522785899488919063816218045633<164> |