n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 665: | \[665!!!!!+1\] | 251 × 1031 × 8681 × 673619 × 1186259 × 233244407127911089<18> × 3626071690435437743<19> × [8996156128181103371764488296893649950368567314989488171437978789429961392789585958128364985326296427785703901734000329425046930231592737002034393781425124954609312029141565630653022866817142286046420123279739650462949796476054590540261416262688008746271410783323<262>] |