n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
233: | \[233!!!!!-1\] | 1217 × 6311 × 129749 × 251777003345640825244677800091012443<36> × 105160096442125604082770982226863143707606559<45> |