n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
241: | \[241!!!!!+1\] | 307 × 683 × 830160747136310908069<21> × 600003720530731321292732550904622587843898475987988870271687033669213<69> |