n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
300: | \[300!!!!-1\] | 151 × 601 × 5780743 × 10691155038335128841920199<26> × 6313226413687726258935431463906249795149310515957409875775553443164288839033459675871500609995974887485325431689642257<118> |