n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
251: | \[251!!!!!-1\] | 53 × 636133429 × 3586318406816644727191<22> × 77164290264205418953198309<26> × 293062738131336993366614274296438966527621<42> |