n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 438: | \[438!!!!-1\] | 962540707 × 15807058081603<14> × [94510866038712739503805384758320600543292583566091376481104797154172703170457009423649178829845820853690901857173673435547699737009981512701376789669360098341601328966985226463725274086854634077977436128577087532749698919<221>] |