n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
272: | \[272!!!!!+1\] | 6043 × 20629425563<11> × 1148504532048156066135957069088189424405220393566090806072060196568731876536157251699863536846441<97> |