n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 233: | \[233!!!!!+1\] | 3967 × 135697 × 331820445049273<15> × 141916607274285496964123<24> × 1040856851367790846466779239330878184185626373<46> |