n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
218: | \[218!!!!!+1\] | 307 × 2153 × 14423 × 967054671562760521260107591164422889<36> × 241587882138895726862468055816247828141<39> |