n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
390: | \[390!!!!+1\] | 547 × 10218328069<11> × 1400906629661491<16> × 6882232379433792855084359027117891720541194997948771849598323363783790520252429171047110282598363620898610507079683054992384509930211516388527127897986591183090525293847827298848309877<184> |