n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
225: | \[225!!!!!+1\] | 239 × 269 × 702391 × 129671533 × 188221003 × 2035190649781794645723183691<28> × 1515706488867578024290108169040169<34> |