n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
| * 597: | \[597!!!!+1\] | 2 × 3659941 × 45102209 × 415962583 × 39718076687934143<17> × [137222913736474659625362875819525785590942586305438822811953019285594290479942518875379363339984954761954032461301911060495364817505343609508133522746869246582999529310025763798240960582119292273041147507209133748645428322459337890271025459090699770083878156827416120618503085397741309830939339068176973905893683<312>] |