n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
213: | \[213!!!-1\] | 7741 × 20441 × 333130153 × 191174247527<12> × 633767449729225992045694743796180041794859232944434616824844320493448984153711906602317687441775667505431709<108> |