n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 300: | \[300!!!+1\] | 101 × 113995993 × 3048446053669<13> × [1370375712429303717287920216583048981563268088263525869484081246956544538184156543325482025091094204257122085665269314479539760987008143256538279434165110765854787970482947362343862353<184>] |