n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 391: | \[391!!!!!+1\] | 104953 × 15721694971<11> × 21914293210636112161<20> × [2701542841400934508124554866075741309543154464200464723490904012387748637133899544921430884818463974300955689339571729333187452079827499<136>] |