n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 300: | \[300!!!!!+1\] | 61 × 719 × 1951 × 320545512877<12> × 127287994275037170937725192143<30> × 2067197493501892297778041066966660298124617072816395608307861779581699593399<76> |