n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
199: | \[199!!!!+1\] | 2 × 728111207619242437<18> × 117590915832923894789<21> × 3921720911436110022091<22> × 17585593861697220957185707829311801<35> |