n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
204: | \[204!!!!+1\] | 103 × 5309 × 152519 × 9192196809391838139900139<25> × 11782200391270566022286779<26> × 870732967539432904563828093607155517<36> |