n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
337: | \[337!!!-1\] | 3 × 293 × 10687 × 1237660849 × 109510333609<12> × 210264287795687737553<21> × 1092604442156782582143712854853126166700356420053121991645364282433607209294976937000542689118449855239862769285508564549275334714218684147800590906248530874209259928107706985513583116837431<190> |