n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
262: | \[262!!!!!+1\] | 2969 × 130780608377<12> × 150118406639449015466141771<27> × 33822427930188741124325754308379612474432534034490779014827712371<65> |