n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
161: | \[161!!!-1\] | 35 × 639211 × 108841189 × 410797794943<12> × 376860069596712818369466580574935604794079594899235771862843736231069<69> |