n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
315: | \[315!!!!+1\] | 25 × 42187 × 1763981 × 33118123 × 1133139576554283383662675584673192768649454364016575114303491540655786852168091852031932402383587913194189703874653069115831275174712839830462853<145> |