n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
375: | \[375!!!!!+1\] | 1123 × 1439 × 241441 × 111392148979<12> × 56604605515516549<17> × 266934143178674036856632265804810336627607334386661539775062420108095505753071113625842695180611464171876128228415365272203<123> |