Primes the squares of which are Fibbinary numbers (A003714).

Terms

a(0) =2a(1) =3a(2) =13a(3) =17a(4) =23a(5) =47a(6) =137a(7) =257a(8) =521a(9) =577a(10) =727a(11) =739a(12) =1033a(13) =1153a(14) =1181a(15) =1471a(16) =2081a(17) =2113a(18) =3251a(19) =4129a(20) =4253a(21) =8209a(22) =8329a(23) =8353a(24) =11597a(25) =11677a(26) =11779a(27) =11971a(28) =12503a(29) =16417