%I #8 Apr 20 2021 06:59:39
%S 21,233,196418,9227465,165580141,2971215073,53316291173,2504730781961,
%T 3416454622906707,51680708854858323072,184551825793033096366333,
%U 898923707008479989274290850145,3210056809456107725247980776292056
%N Fibonacci numbers with both a prime number of 0's and a prime number of 1's in their binary representations.
%C 21 -> 10101, 233 -> 11101001, 196418 -> 101111111101000010,..
%t Select[Fibonacci[Range[6! ]],PrimeQ[DigitCount[ #,2,0]]&&PrimeQ[DigitCount[ #,2,1]]&]
%Y Cf. A000045, A144214.
%K base,nonn
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Feb 16 2010