n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
250: | \[250!!!!!-1\] | 1435663 × 42463409 × 32480551764045122021<20> × 19084096155097442777883456719531<32> × 71484639332763188370924507490105447<35> |