This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A180280 #10 Sep 04 2024 19:52:46
%S A180280 11,101,1011001,100010100101111,
%T A180280 1100110010100000101000011101110110101011001011001101111101101011010101110010101,
%U A180280 1101011110011100100011101000011100001010001101001011001100110100000011001101101001010011011001100101010111
%N A180280 Fibonacci numbers written in base 2, read as decimal numbers which then are prime.
%C A180280 Subset of A020449 (Primes that contain digits 0 and 1 only).
%C A180280 Generated by A000045(k), k= 4, 5, 11, 22, 115, 154,... [R. J. Mathar, Aug 26 2010]
%C A180280 No further terms through the 5,000th Fibonacci number, which has 3,471 digits in base 2. - _Harvey P. Dale_, Sep 04 2024
%F A180280 Primes in A004685. Primes in {A007088(A000045(n))}.
%e A180280 a(1) = 11 because 3 is the 4th Fibonacci number, 3 (base 2) = 11, and 11 (base 10) is prime.
%e A180280 a(2) = 101 because 5 is the 5th Fibonacci number, 5 (base 2) = 101, and 101 (base 10) is prime.
%e A180280 a(3) = 1011001 because 89 is the 11th Fibonacci number, 89 (base 2) = 1011001, and 1011001 (base 10) is prime.
%e A180280 a(4) = 100010100101111 because 17711 is the 22nd Fibonacci number, 17711 (base 2) = 100010100101111, and 100010100101111 (base 10) is prime.
%t A180280 Select[FromDigits[IntegerDigits[#,2]]&/@Fibonacci[Range[1000]],PrimeQ] (* _Harvey P. Dale_, Sep 04 2024 *)
%Y A180280 Cf. A000040, A000045, A004685, A005478, A007088, A020449.
%K A180280 nonn,base,less
%O A180280 1,1
%A A180280 _Jonathan Vos Post_, Aug 24 2010
%E A180280 Two more terms from _R. J. Mathar_, Aug 26 2010