n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 307: | \[307!!!!+1\] | 22 × 902536249 × 5906575601714191<16> × 274878670138027661<18> × 155632126381804317063130128072428148590522404553773147355778043772054903595948325402972973509562714828496414905194781<117> |