n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
259: | \[259!!!!-1\] | 2 × 241 × 2498981 × 348373171 × 82553769911882628456697<23> × 156805871027465047095552877432432189456769<42> × 593113833165327857206245402419340490709887924999<48> |