Numbers n such that the n-th Lucas number is prime, but cannot be written in the form a^2 + b^2.

Terms

a(0) =2a(1) =4a(2) =5a(3) =8a(4) =11a(5) =16a(6) =17a(7) =41a(8) =47a(9) =53a(10) =71a(11) =113a(12) =353a(13) =503a(14) =617a(15) =863a(16) =1097a(17) =1361a(18) =4787a(19) =4793a(20) =10691a(21) =12251a(22) =19469a(23) =36779a(24) =44507a(25) =56003a(26) =81671a(27) =89849a(28) =94823a(29) =140057