n!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 309: | \[309!!!+1\] | 4229 × 46103 × 3349113539 × 301210967731361<15> × 9447660257768935684540313<25> × [741583177744095972956993179387421012432356721955352700063361684405609114448337991101730397136010988762981180422705631794225157900040996838847756280933723249<156>] |