n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 349: | \[349!!!+1\] | 34172009 × 3752163601177639<16> × 65054868359596662700057<23> × [493824235554787883553138420260054009785660553890598423773057003853993703125299809622421668547025069320871252368511947221232399159570103860094047255228447855886532916786901891270423380387109839153961943<201>] |