n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
253: | \[253!!!!!+1\] | 4651 × 216979303 × 101462730823<12> × 1101853441939<13> × 848633589566833781597360229986087801572425366649254157742976725953<66> |