n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
292: | \[292!!!!!-1\] | 1217415289 × 281966084456477802987740933<27> × 2730426202620814408692376410780455292390729025726206800905729094947470474910663865611<85> |