n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 309: | \[309!!!!!+1\] | 384565399703<12> × [666791332969629814250310385715714624223985721638266872111653706046332726674423873104396357166730032824034387314487079<117>] |