a(n) = the least integer of the form [prime(n+1)+prime(n+2)+...+prime(n+k)]/prime(n).

Terms

a(0) =4a(1) =4a(2) =18a(3) =16a(4) =12a(5) =12a(6) =6a(7) =16a(8) =6a(9) =102a(10) =11a(11) =93a(12) =119a(13) =345a(14) =48a(15) =240a(16) =138a(17) =100a(18) =263a(19) =19a(20) =227a(21) =282a(22) =31a(23) =1071a(24) =11a(25) =126a(26) =386a(27) =278a(28) =184a(29) =642