n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
342: | \[342!!!!!-1\] | 541 × 1867 × 440581 × 1848665326693<13> × 41036641104928114113356921<26> × 1097250276966039125560835933<28> × 5037377653213996360298237278830953<34> × 55115245662533567460168697456493629<35> |