n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
355: | \[355!!!!!+1\] | 5094507921262741<16> × 7070195950080664470331650143939497696181526069547029381666584772724058715950982274498326953571152388025065522401394311146215853983580861<136> |