a(n) = smallest prime(j) > a(n-1) such that prime(j+1) - prime(j) = 2n, a(0) = 2.

Terms

a(0) =2a(1) =3a(2) =7a(3) =23a(4) =89a(5) =139a(6) =199a(7) =293a(8) =1831a(9) =1913a(10) =3089a(11) =3229a(12) =4177a(13) =5531a(14) =5953a(15) =6491a(16) =10799a(17) =11743a(18) =12853a(19) =30593a(20) =33247a(21) =34981a(22) =36389a(23) =81463a(24) =86629a(25) =95651a(26) =103237a(27) =106033a(28) =153191a(29) =181303