Prime numbers whose base-2 representation is a "nested" palindrome.

Terms

a(0) =3a(1) =7a(2) =31a(3) =73a(4) =127a(5) =443a(6) =1453a(7) =5981a(8) =8191a(9) =19609a(10) =21157a(11) =28123a(12) =29671a(13) =83269a(14) =131071a(15) =262657a(16) =287281a(17) =324217a(18) =354997a(19) =367309a(20) =431947a(21) =456571a(22) =462727a(23) =499663a(24) =524287a(25) =1348901a(26) =1488301a(27) =1715851a(28) =1875751a(29) =5548693