n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 311: | \[311!!!!!-1\] | 5 × 100343 × 15867737 × 3305738380713604201344919837651043<34> × 64593576656980794676275469650086924558329466075967353710901302083267180235654965551<83> |