n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 368: | \[368!!!!!-1\] | 1697 × 63059 × 531341473361<12> × 8367189832781943999214517<25> × 1069366002604679054445040401001033974029771<43> × 412548255660905944857031626775016505118926465793991150926116744838815523<72> |