n!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
150: | \[150!!-1\] | 151 × 601 × 166080977 × 271914516050904665779<21> × 1742993955827777092140742331<28> × 131208452882455984210143631958252510195272854838975464287204599956393713<72> |