n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
227: | \[227!!!!!-1\] | 11863 × 71413 × 1379639 × 383138573 × 34200453806160101789269025451547<32> × 2308254307005163447229979487896653<34> |