n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 312: | \[312!!!+1\] | 1163 × 122399 × 31105027111938649<17> × [97099744360975608871990491679878469511472582531413837349191805614633353571368646048425483388083835775029445192180480636546221631313490934932988834769544983601166331736741491249557537745403077<191>] |