n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 351: | \[351!!!!+1\] | 2 × 2425081 × 44653669409123<14> × 317059683093428117<18> × [68859108689495115946961047099621831788022431657455656817581277148374406079520500268722003484905132072412901951506601295395111941866227753931285706303<149>] |