a(n) is the smallest prime p of the form 4k+1 such that nextprime(p) - p = 4n.

Terms

a(0) =13a(1) =89a(2) =509a(3) =1933a(4) =1637a(5) =1669a(6) =5953a(7) =27701a(8) =12853a(9) =19333a(10) =36389a(11) =28229a(12) =19609a(13) =82073a(14) =102701a(15) =89689a(16) =134513a(17) =31397a(18) =212701a(19) =815729a(20) =461717a(21) =1155733a(22) =927869a(23) =360653a(24) =396733a(25) =3422813a(26) =3279841a(27) =370261a(28) =5845193a(29) =6085441