n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
257: | \[257!!!-1\] | 32 × 809 × 1451 × 141173111 × 292461550982584098752437822305345448089132548085163125548628428393782763170177449772678909335174537291965182320083265785246507684053802605867757501876072539<156> |