n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
270: | \[270!!!!!+1\] | 601 × 223243 × 15280883591<11> × 259664909360602055217737533785058687473702209<45> × 24070449614409601333605226803980316780726008653<47> |