n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
291: | \[291!!!!!+1\] | 61711244561<11> × 322681403589538852191021922789465974016054419203<48> × 10068195211627457766654565335082095997250521606051430475465979<62> |