n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 269: | \[269!!!!!+1\] | 191 × 2531 × 1331521 × 14123270002370707<17> × 1712702296105658141<19> × 317868833489079328356346555799645844891492347882338603892164931<63> |