n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
411: | \[411!!!!-1\] | 2 × 1289 × 32639133913<11> × 1937054419323637<16> × 15991532966775837415262143710534251410581233564719804569576226267265356165801378463837347415886651967233279817220541289822361477871790049433176040073903062651192036088466112907251097014925707654443<197> |