n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
161: | \[161!!!!-1\] | 24 × 59 × 132529 × 196111 × 8281384967929<13> × 17356016861699<14> × 31909812031001<14> × 24415318723443405529<20> |