n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 257: | \[257!!!!!+1\] | 1699 × 938681186787853<15> × 400177004189259469093189793111<30> × 11790368109501549583018611992566627825570460765323252961<56> |