n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 278: | \[278!!!!!+1\] | 4969 × 7187 × 781511 × 193636588778788944631<21> × 1548543091581014046829<22> × 4450993991847771996359<22> × 3547427061131200070506416168962067449<37> |