n!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 276: | \[276!!!-1\] | 929 × 1327 × 1041840599407031<16> × [760733479245460356612853725798526520827780933869761600633006576810456178373924674837322605719241585776406028166603103306239629153079396723301930828557425562138396663<165>] |