n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 239: | \[239!!!!!-1\] | 5 × 228338609 × 872541697 × 17503472478090571608543311825433130244694448924787359216213428926949167321123<77> |