n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| 253: | \[253!!!!!-1\] | 8171 × 35461 × 1890923 × 12751622526044167344777350738987<32> × 13704076197959721213052834030333590589209637043988447841<56> |