n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
265: | \[265!!!!+1\] | 2 × 3769 × 32649376038495803<17> × 62313226887041540622652163972817870524591558397607<50> × 609132166045689369871773639800946638369228751633486791892312187<63> |