Denominator of Sum_{k=1..n} 1/(k*(prime(k+1)-prime(k))).

Terms

a(0) =1a(1) =4a(2) =12a(3) =48a(4) =240a(5) =240a(6) =1680a(7) =3360a(8) =30240a(9) =30240a(10) =332640a(11) =332640a(12) =4324320a(13) =4324320a(14) =4324320a(15) =1081080a(16) =18378360a(17) =6126120a(18) =116396280a(19) =14549535a(20) =4157010a(21) =16628040a(22) =382444920a(23) =3059559360a(24) =15297796800a(25) =15297796800a(26) =45893390400a(27) =321253732800