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Numbers k such that the k-th prime is a Fibonacci number reversed.
2

%I #19 May 10 2024 19:06:00

%S 1,2,3,11,14,137,1005,5324,6486,33326,1847020051726,

%T 19899051754834984670

%N Numbers k such that the k-th prime is a Fibonacci number reversed.

%C More terms could be obtained from A036971.

%C The next reversed Fibonacci number which is a prime number is 940647607443258103531. The next term in the sequence would be the prime index for that prime. - _Harvey P. Dale_, Jun 02 2009

%H Kim Walisch, <a href="https://github.com/kimwalisch/primecount">Fast C++ prime counting function implementation (primecount)</a>.

%t Sort[PrimePi/@(Select[FromDigits[Reverse[IntegerDigits[ # ]]]&/@Fibonacci[Range[90]],PrimeQ])] (* _Harvey P. Dale_, Jun 02 2009 *)

%Y Cf. A036797, A036971.

%K nonn,more,base

%O 1,2

%A _N. J. A. Sloane_, _G. L. Honaker, Jr._

%E One additional term from _Harvey P. Dale_, Jun 02 2009

%E Offset corrected and a(12) added using Kim Walisch's primecount by _Amiram Eldar_, May 06 2024