n!!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 459: | \[459!!!!!+1\] | 767123377 × 818292947 × [139013796047225641672118218966017494043956951712673417979381577460460429624529945958501009575115375352714688084753520811349423128867999398841955224501977475895260206511918171086191175134923<189>] |