n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 308: | \[308!!!!-1\] | 239 × 2179 × 140611 × 65371158215726775583489<23> × [692587686625297372241545746470047713898268748378050828545613260316942662034112769794545772064549422133135218734427338009399401<126>] |