n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
263: | \[263!!!!!-1\] | 127 × 49279 × 122117 × 1635071369 × 5198909447425673017873536949920578603810526419339228895591831384667003096974236436443<85> |