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

Terms

a(0) =2a(1) =1a(2) =3a(3) =2a(4) =4a(5) =8a(6) =15a(7) =63a(8) =21a(9) =6a(10) =167a(11) =55a(12) =684a(13) =2191a(14) =45a(15) =1961a(16) =13671a(17) =3202a(18) =43470a(19) =13828a(20) =161725a(21) =161725a(22) =1104891a(23) =1327050a(24) =1327050