n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
255: | \[255!!!!!+1\] | 463 × 820995892909387353259<21> × 1812146456483346147844175557465972529578416584076815295549355968411414636282253<79> |