n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
191: | \[191!!!-1\] | 3 × 653 × 2243 × 26701 × 101100072205277<15> × 384049459134353843<18> × 208270073853309284949425582749<30> × 84635129534944828217316209611198723335937715693<47> |