n!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 166: | \[166!!+1\] | 991 × [385053142192025235309936963180931164275325752513196226212237551844873941411242365970636535904804608241294951033704918537644051591362260343087790111<147>] |