n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
295: | \[295!!!!!+1\] | 463 × 89490857 × 18223123989428780267370965055841<32> × 31861877725893298513663920085182906923801211381812038181146910363557119909879671<80> |