n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 412: | \[412!!!!+1\] | 23789 × 61153 × 6574331 × 1032576328751479<16> × [1031273474848601457434746113623960791959048410751257017873137473085167098025680951375183273264552886410323169168325971560336683599430609249176432896446853128352253360433372173234000242520878634297<196>] |