n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
256: | \[256!!!!!-1\] | 5 × 262747 × 4270039 × 52610083683592575227<20> × 5593909119850674164247357765632477499742017823843618745817908006786861<70> |