n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
244: | \[244!!!+1\] | 359 × 17393 × 2000198116487601021878829995775491436616422115080620726772603540307721496696522252594127088830440851293732136703362177131438780706842572541273047604878023<154> |