n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
217: | \[217!!!!+1\] | 2 × 823 × 2495138473 × 17459974670669<14> × 25752876119240860104164827<26> × 121672357158189201669484668243848198591692511769181219<54> |