n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 278: | \[278!!!-1\] | 530983 × 335595521909<12> × [249053036136466124665204081289301980801095439544668874982428922028297398777367073477942034269407386556702719502387420890312814780337922306855578890284227213358520093822117<171>] |