n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
275: | \[275!!!!!+1\] | 4055377 × 1269078633214901<16> × 69789735338787981975169<23> × 9811143600613065326538828844284832371342288781131351005040563678477<67> |