n!!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
259: | \[259!!!!!-1\] | 5 × 986417 × 2499191950809007<16> × 5653953724629366249937927174507115801178304389035179314621001019155725902497522253<82> |