n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
319: | \[319!!!!!-1\] | 52 × 1049 × 979411022975259897618944792236955928238931787366581608185269788054420825030487424039550866924757606945237874999771107501691987311<129> |