n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
315: | \[315!!!!-1\] | 2 × 937 × 20641 × 685427 × 10324533517913<14> × 326467294649671646970630537953163823969080427505278877631661491095955926954520332475815665308982453712461864536534368082975507411810163861<138> |