Smallest prime k such that (k+p(1)) (k+p(2))...(k+p(n))/(p(n)#) is an integer.

Terms

a(0) =2a(1) =3a(2) =3a(3) =2a(4) =17a(5) =19a(6) =193a(7) =401a(8) =401a(9) =401a(10) =167a(11) =2477a(12) =6871a(13) =12119a(14) =12119a(15) =21383a(16) =104281a(17) =104281a(18) =152213a(19) =152213a(20) =175919a(21) =1786159a(22) =7255159a(23) =7035733a(24) =154272581